+# if defined(_M_ARM64) || defined(SECP256K1_MSVC_MULH_TEST_OVERRIDE)
+/* On ARM64 MSVC, use __(u)mulh for the upper half of 64x64 multiplications.
+ (Define SECP256K1_MSVC_MULH_TEST_OVERRIDE to test this code path on X64,
+ which supports both __(u)mulh and _umul128.) */
+# if defined(SECP256K1_MSVC_MULH_TEST_OVERRIDE)
+# pragma message(__FILE__ ": SECP256K1_MSVC_MULH_TEST_OVERRIDE is defined, forcing use of __(u)mulh.")
+# endif
+static SECP256K1_INLINE uint64_t secp256k1_umul128(uint64_t a, uint64_t b, uint64_t* hi) {
+ *hi = __umulh(a, b);
+ return a * b;
+}
+
+static SECP256K1_INLINE int64_t secp256k1_mul128(int64_t a, int64_t b, int64_t* hi) {
+ *hi = __mulh(a, b);
+ return (uint64_t)a * (uint64_t)b;
+}
+# else
+/* On x84_64 MSVC, use native _(u)mul128 for 64x64->128 multiplications. */
+# define secp256k1_umul128 _umul128
+# define secp256k1_mul128 _mul128
+# endif
+#else
+/* On other systems, emulate 64x64->128 multiplications using 32x32->64 multiplications. */
+static SECP256K1_INLINE uint64_t secp256k1_umul128(uint64_t a, uint64_t b, uint64_t* hi) {
+ uint64_t ll = (uint64_t)(uint32_t)a * (uint32_t)b;
+ uint64_t lh = (uint32_t)a * (b >> 32);
+ uint64_t hl = (a >> 32) * (uint32_t)b;
+ uint64_t hh = (a >> 32) * (b >> 32);
+ uint64_t mid34 = (ll >> 32) + (uint32_t)lh + (uint32_t)hl;
+ *hi = hh + (lh >> 32) + (hl >> 32) + (mid34 >> 32);
+ return (mid34 << 32) + (uint32_t)ll;
+}
+
+static SECP256K1_INLINE int64_t secp256k1_mul128(int64_t a, int64_t b, int64_t* hi) {
+ uint64_t ll = (uint64_t)(uint32_t)a * (uint32_t)b;
+ int64_t lh = (uint32_t)a * (b >> 32);
+ int64_t hl = (a >> 32) * (uint32_t)b;
+ int64_t hh = (a >> 32) * (b >> 32);
+ uint64_t mid34 = (ll >> 32) + (uint32_t)lh + (uint32_t)hl;
+ *hi = hh + (lh >> 32) + (hl >> 32) + (mid34 >> 32);
+ return (mid34 << 32) + (uint32_t)ll;
+}
+#endif
+
+static SECP256K1_INLINE void secp256k1_u128_load(secp256k1_uint128 *r, uint64_t hi, uint64_t lo) {
+ r->hi = hi;
+ r->lo = lo;
+}
+
+static SECP256K1_INLINE void secp256k1_u128_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) {
+ r->lo = secp256k1_umul128(a, b, &r->hi);
+}
+
+static SECP256K1_INLINE void secp256k1_u128_accum_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) {
+ uint64_t lo, hi;
+ lo = secp256k1_umul128(a, b, &hi);
+ r->lo += lo;
+ r->hi += hi + (r->lo < lo);
+}
+
+static SECP256K1_INLINE void secp256k1_u128_accum_u64(secp256k1_uint128 *r, uint64_t a) {
+ r->lo += a;
+ r->hi += r->lo < a;
+}
+
+/* Unsigned (logical) right shift.
+ * Non-constant time in n.
+ */
+static SECP256K1_INLINE void secp256k1_u128_rshift(secp256k1_uint128 *r, unsigned int n) {
+ VERIFY_CHECK(n < 128);
+ if (n >= 64) {
+ r->lo = r->hi >> (n-64);
+ r->hi = 0;
+ } else if (n > 0) {
+#if defined(_MSC_VER) && defined(_M_X64)
+ VERIFY_CHECK(n < 64);
+ r->lo = __shiftright128(r->lo, r->hi, n);
+#else
+ r->lo = ((1U * r->hi) << (64-n)) | r->lo >> n;
+#endif
+ r->hi >>= n;
+ }
+}
+
+static SECP256K1_INLINE uint64_t secp256k1_u128_to_u64(const secp256k1_uint128 *a) {
+ return a->lo;
+}
+
+static SECP256K1_INLINE uint64_t secp256k1_u128_hi_u64(const secp256k1_uint128 *a) {
+ return a->hi;
+}
+
+static SECP256K1_INLINE void secp256k1_u128_from_u64(secp256k1_uint128 *r, uint64_t a) {
+ r->hi = 0;
+ r->lo = a;
+}
+
+static SECP256K1_INLINE int secp256k1_u128_check_bits(const secp256k1_uint128 *r, unsigned int n) {
+ VERIFY_CHECK(n < 128);
+ return n >= 64 ? r->hi >> (n - 64) == 0
+ : r->hi == 0 && r->lo >> n == 0;
+}
+
+static SECP256K1_INLINE void secp256k1_i128_load(secp256k1_int128 *r, int64_t hi, uint64_t lo) {
+ r->hi = hi;
+ r->lo = lo;
+}
+
+static SECP256K1_INLINE void secp256k1_i128_mul(secp256k1_int128 *r, int64_t a, int64_t b) {
+ int64_t hi;
+ r->lo = (uint64_t)secp256k1_mul128(a, b, &hi);
+ r->hi = (uint64_t)hi;
+}
+
+static SECP256K1_INLINE void secp256k1_i128_accum_mul(secp256k1_int128 *r, int64_t a, int64_t b) {
+ int64_t hi;
+ uint64_t lo = (uint64_t)secp256k1_mul128(a, b, &hi);
+ r->lo += lo;
+ hi += r->lo < lo;
+ /* Verify no overflow.
+ * If r represents a positive value (the sign bit is not set) and the value we are adding is a positive value (the sign bit is not set),
+ * then we require that the resulting value also be positive (the sign bit is not set).
+ * Note that (X <= Y) means (X implies Y) when X and Y are boolean values (i.e. 0 or 1).
+ */
+ VERIFY_CHECK((r->hi <= 0x7fffffffffffffffu && (uint64_t)hi <= 0x7fffffffffffffffu) <= (r->hi + (uint64_t)hi <= 0x7fffffffffffffffu));
+ /* Verify no underflow.
+ * If r represents a negative value (the sign bit is set) and the value we are adding is a negative value (the sign bit is set),
+ * then we require that the resulting value also be negative (the sign bit is set).
+ */
+ VERIFY_CHECK((r->hi > 0x7fffffffffffffffu && (uint64_t)hi > 0x7fffffffffffffffu) <= (r->hi + (uint64_t)hi > 0x7fffffffffffffffu));
+ r->hi += hi;
+}
+
+static SECP256K1_INLINE void secp256k1_i128_dissip_mul(secp256k1_int128 *r, int64_t a, int64_t b) {
+ int64_t hi;
+ uint64_t lo = (uint64_t)secp256k1_mul128(a, b, &hi);
+ hi += r->lo < lo;
+ /* Verify no overflow.
+ * If r represents a positive value (the sign bit is not set) and the value we are subtracting is a negative value (the sign bit is set),
+ * then we require that the resulting value also be positive (the sign bit is not set).
+ */
+ VERIFY_CHECK((r->hi <= 0x7fffffffffffffffu && (uint64_t)hi > 0x7fffffffffffffffu) <= (r->hi - (uint64_t)hi <= 0x7fffffffffffffffu));
+ /* Verify no underflow.
+ * If r represents a negative value (the sign bit is set) and the value we are subtracting is a positive value (the sign sign bit is not set),
+ * then we require that the resulting value also be negative (the sign bit is set).
+ */
+ VERIFY_CHECK((r->hi > 0x7fffffffffffffffu && (uint64_t)hi <= 0x7fffffffffffffffu) <= (r->hi - (uint64_t)hi > 0x7fffffffffffffffu));
+ r->hi -= hi;
+ r->lo -= lo;
+}
+
+static SECP256K1_INLINE void secp256k1_i128_det(secp256k1_int128 *r, int64_t a, int64_t b, int64_t c, int64_t d) {
+ secp256k1_i128_mul(r, a, d);
+ secp256k1_i128_dissip_mul(r, b, c);
+}
+
+/* Signed (arithmetic) right shift.
+ * Non-constant time in n.
+ */
+static SECP256K1_INLINE void secp256k1_i128_rshift(secp256k1_int128 *r, unsigned int n) {
+ VERIFY_CHECK(n < 128);
+ if (n >= 64) {
+ r->lo = (uint64_t)((int64_t)(r->hi) >> (n-64));
+ r->hi = (uint64_t)((int64_t)(r->hi) >> 63);
+ } else if (n > 0) {
+ r->lo = ((1U * r->hi) << (64-n)) | r->lo >> n;
+ r->hi = (uint64_t)((int64_t)(r->hi) >> n);
+ }
+}
+
+static SECP256K1_INLINE uint64_t secp256k1_i128_to_u64(const secp256k1_int128 *a) {
+ return a->lo;
+}
+
+static SECP256K1_INLINE int64_t secp256k1_i128_to_i64(const secp256k1_int128 *a) {
+ /* Verify that a represents a 64 bit signed value by checking that the high bits are a sign extension of the low bits. */
+ VERIFY_CHECK(a->hi == -(a->lo >> 63));
+ return (int64_t)secp256k1_i128_to_u64(a);
+}
+
+static SECP256K1_INLINE void secp256k1_i128_from_i64(secp256k1_int128 *r, int64_t a) {
+ r->hi = (uint64_t)(a >> 63);
+ r->lo = (uint64_t)a;
+}
+
+static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, const secp256k1_int128 *b) {
+ return a->hi == b->hi && a->lo == b->lo;
+}
+
+static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign) {
+ VERIFY_CHECK(n < 127);
+ VERIFY_CHECK(sign == 1 || sign == -1);
+ return n >= 64 ? r->hi == (uint64_t)sign << (n - 64) && r->lo == 0
+ : r->hi == (uint64_t)(sign >> 1) && r->lo == (uint64_t)sign << n;
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1.java b/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1.java
deleted file mode 100644
index b96b9e00..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1.java
+++ /dev/null
@@ -1,446 +0,0 @@
-/*
- * Copyright 2013 Google Inc.
- * Copyright 2014-2016 the libsecp256k1 contributors
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-package org.bitcoin;
-
-import java.nio.ByteBuffer;
-import java.nio.ByteOrder;
-
-import java.math.BigInteger;
-import com.google.common.base.Preconditions;
-import java.util.concurrent.locks.Lock;
-import java.util.concurrent.locks.ReentrantReadWriteLock;
-import static org.bitcoin.NativeSecp256k1Util.*;
-
-/**
- * This class holds native methods to handle ECDSA verification.
- *
- * You can find an example library that can be used for this at https://github.com/bitcoin/secp256k1
- *
- * To build secp256k1 for use with bitcoinj, run
- * `./configure --enable-jni --enable-experimental --enable-module-ecdh`
- * and `make` then copy `.libs/libsecp256k1.so` to your system library path
- * or point the JVM to the folder containing it with -Djava.library.path
- *
- */
-public class NativeSecp256k1 {
-
- private static final ReentrantReadWriteLock rwl = new ReentrantReadWriteLock();
- private static final Lock r = rwl.readLock();
- private static final Lock w = rwl.writeLock();
- private static ThreadLocal nativeECDSABuffer = new ThreadLocal();
- /**
- * Verifies the given secp256k1 signature in native code.
- * Calling when enabled == false is undefined (probably library not loaded)
- *
- * @param data The data which was signed, must be exactly 32 bytes
- * @param signature The signature
- * @param pub The public key which did the signing
- */
- public static boolean verify(byte[] data, byte[] signature, byte[] pub) throws AssertFailException{
- Preconditions.checkArgument(data.length == 32 && signature.length <= 520 && pub.length <= 520);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < 520) {
- byteBuff = ByteBuffer.allocateDirect(520);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(data);
- byteBuff.put(signature);
- byteBuff.put(pub);
-
- byte[][] retByteArray;
-
- r.lock();
- try {
- return ethkit_secp256k1_ecdsa_verify(byteBuff, Secp256k1Context.getContext(), signature.length, pub.length) == 1;
- } finally {
- r.unlock();
- }
- }
-
- /**
- * libsecp256k1 Create an ECDSA signature.
- *
- * @param data Message hash, 32 bytes
- * @param key Secret key, 32 bytes
- *
- * Return values
- * @param sig byte array of signature
- */
- public static byte[] sign(byte[] data, byte[] sec) throws AssertFailException{
- Preconditions.checkArgument(data.length == 32 && sec.length <= 32);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < 32 + 32) {
- byteBuff = ByteBuffer.allocateDirect(32 + 32);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(data);
- byteBuff.put(sec);
-
- byte[][] retByteArray;
-
- r.lock();
- try {
- retByteArray = ethkit_secp256k1_ecdsa_sign(byteBuff, Secp256k1Context.getContext());
- } finally {
- r.unlock();
- }
-
- byte[] sigArr = retByteArray[0];
- int sigLen = new BigInteger(new byte[] { retByteArray[1][0] }).intValue();
- int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
-
- assertEquals(sigArr.length, sigLen, "Got bad signature length.");
-
- return retVal == 0 ? new byte[0] : sigArr;
- }
-
- /**
- * libsecp256k1 Seckey Verify - returns 1 if valid, 0 if invalid
- *
- * @param seckey ECDSA Secret key, 32 bytes
- */
- public static boolean secKeyVerify(byte[] seckey) {
- Preconditions.checkArgument(seckey.length == 32);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < seckey.length) {
- byteBuff = ByteBuffer.allocateDirect(seckey.length);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(seckey);
-
- r.lock();
- try {
- return ethkit_secp256k1_ec_seckey_verify(byteBuff,Secp256k1Context.getContext()) == 1;
- } finally {
- r.unlock();
- }
- }
-
-
- /**
- * libsecp256k1 Compute Pubkey - computes public key from secret key
- *
- * @param seckey ECDSA Secret key, 32 bytes
- *
- * Return values
- * @param pubkey ECDSA Public key, 33 or 65 bytes
- */
- //TODO add a 'compressed' arg
- public static byte[] computePubkey(byte[] seckey) throws AssertFailException{
- Preconditions.checkArgument(seckey.length == 32);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < seckey.length) {
- byteBuff = ByteBuffer.allocateDirect(seckey.length);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(seckey);
-
- byte[][] retByteArray;
-
- r.lock();
- try {
- retByteArray = ethkit_secp256k1_ec_pubkey_create(byteBuff, Secp256k1Context.getContext());
- } finally {
- r.unlock();
- }
-
- byte[] pubArr = retByteArray[0];
- int pubLen = new BigInteger(new byte[] { retByteArray[1][0] }).intValue();
- int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
-
- assertEquals(pubArr.length, pubLen, "Got bad pubkey length.");
-
- return retVal == 0 ? new byte[0]: pubArr;
- }
-
- /**
- * libsecp256k1 Cleanup - This destroys the secp256k1 context object
- * This should be called at the end of the program for proper cleanup of the context.
- */
- public static synchronized void cleanup() {
- w.lock();
- try {
- secp256k1_destroy_context(Secp256k1Context.getContext());
- } finally {
- w.unlock();
- }
- }
-
- public static long cloneContext() {
- r.lock();
- try {
- return secp256k1_ctx_clone(Secp256k1Context.getContext());
- } finally { r.unlock(); }
- }
-
- /**
- * libsecp256k1 PrivKey Tweak-Mul - Tweak privkey by multiplying to it
- *
- * @param tweak some bytes to tweak with
- * @param seckey 32-byte seckey
- */
- public static byte[] privKeyTweakMul(byte[] privkey, byte[] tweak) throws AssertFailException{
- Preconditions.checkArgument(privkey.length == 32);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < privkey.length + tweak.length) {
- byteBuff = ByteBuffer.allocateDirect(privkey.length + tweak.length);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(privkey);
- byteBuff.put(tweak);
-
- byte[][] retByteArray;
- r.lock();
- try {
- retByteArray = secp256k1_privkey_tweak_mul(byteBuff,Secp256k1Context.getContext());
- } finally {
- r.unlock();
- }
-
- byte[] privArr = retByteArray[0];
-
- int privLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF;
- int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
-
- assertEquals(privArr.length, privLen, "Got bad pubkey length.");
-
- assertEquals(retVal, 1, "Failed return value check.");
-
- return privArr;
- }
-
- /**
- * libsecp256k1 PrivKey Tweak-Add - Tweak privkey by adding to it
- *
- * @param tweak some bytes to tweak with
- * @param seckey 32-byte seckey
- */
- public static byte[] privKeyTweakAdd(byte[] privkey, byte[] tweak) throws AssertFailException{
- Preconditions.checkArgument(privkey.length == 32);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < privkey.length + tweak.length) {
- byteBuff = ByteBuffer.allocateDirect(privkey.length + tweak.length);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(privkey);
- byteBuff.put(tweak);
-
- byte[][] retByteArray;
- r.lock();
- try {
- retByteArray = secp256k1_privkey_tweak_add(byteBuff,Secp256k1Context.getContext());
- } finally {
- r.unlock();
- }
-
- byte[] privArr = retByteArray[0];
-
- int privLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF;
- int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
-
- assertEquals(privArr.length, privLen, "Got bad pubkey length.");
-
- assertEquals(retVal, 1, "Failed return value check.");
-
- return privArr;
- }
-
- /**
- * libsecp256k1 PubKey Tweak-Add - Tweak pubkey by adding to it
- *
- * @param tweak some bytes to tweak with
- * @param pubkey 32-byte seckey
- */
- public static byte[] pubKeyTweakAdd(byte[] pubkey, byte[] tweak) throws AssertFailException{
- Preconditions.checkArgument(pubkey.length == 33 || pubkey.length == 65);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < pubkey.length + tweak.length) {
- byteBuff = ByteBuffer.allocateDirect(pubkey.length + tweak.length);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(pubkey);
- byteBuff.put(tweak);
-
- byte[][] retByteArray;
- r.lock();
- try {
- retByteArray = secp256k1_pubkey_tweak_add(byteBuff,Secp256k1Context.getContext(), pubkey.length);
- } finally {
- r.unlock();
- }
-
- byte[] pubArr = retByteArray[0];
-
- int pubLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF;
- int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
-
- assertEquals(pubArr.length, pubLen, "Got bad pubkey length.");
-
- assertEquals(retVal, 1, "Failed return value check.");
-
- return pubArr;
- }
-
- /**
- * libsecp256k1 PubKey Tweak-Mul - Tweak pubkey by multiplying to it
- *
- * @param tweak some bytes to tweak with
- * @param pubkey 32-byte seckey
- */
- public static byte[] pubKeyTweakMul(byte[] pubkey, byte[] tweak) throws AssertFailException{
- Preconditions.checkArgument(pubkey.length == 33 || pubkey.length == 65);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < pubkey.length + tweak.length) {
- byteBuff = ByteBuffer.allocateDirect(pubkey.length + tweak.length);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(pubkey);
- byteBuff.put(tweak);
-
- byte[][] retByteArray;
- r.lock();
- try {
- retByteArray = secp256k1_pubkey_tweak_mul(byteBuff,Secp256k1Context.getContext(), pubkey.length);
- } finally {
- r.unlock();
- }
-
- byte[] pubArr = retByteArray[0];
-
- int pubLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF;
- int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
-
- assertEquals(pubArr.length, pubLen, "Got bad pubkey length.");
-
- assertEquals(retVal, 1, "Failed return value check.");
-
- return pubArr;
- }
-
- /**
- * libsecp256k1 create ECDH secret - constant time ECDH calculation
- *
- * @param seckey byte array of secret key used in exponentiaion
- * @param pubkey byte array of public key used in exponentiaion
- */
- public static byte[] createECDHSecret(byte[] seckey, byte[] pubkey) throws AssertFailException{
- Preconditions.checkArgument(seckey.length <= 32 && pubkey.length <= 65);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < 32 + pubkey.length) {
- byteBuff = ByteBuffer.allocateDirect(32 + pubkey.length);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(seckey);
- byteBuff.put(pubkey);
-
- byte[][] retByteArray;
- r.lock();
- try {
- retByteArray = secp256k1_ecdh(byteBuff, Secp256k1Context.getContext(), pubkey.length);
- } finally {
- r.unlock();
- }
-
- byte[] resArr = retByteArray[0];
- int retVal = new BigInteger(new byte[] { retByteArray[1][0] }).intValue();
-
- assertEquals(resArr.length, 32, "Got bad result length.");
- assertEquals(retVal, 1, "Failed return value check.");
-
- return resArr;
- }
-
- /**
- * libsecp256k1 randomize - updates the context randomization
- *
- * @param seed 32-byte random seed
- */
- public static synchronized boolean randomize(byte[] seed) throws AssertFailException{
- Preconditions.checkArgument(seed.length == 32 || seed == null);
-
- ByteBuffer byteBuff = nativeECDSABuffer.get();
- if (byteBuff == null || byteBuff.capacity() < seed.length) {
- byteBuff = ByteBuffer.allocateDirect(seed.length);
- byteBuff.order(ByteOrder.nativeOrder());
- nativeECDSABuffer.set(byteBuff);
- }
- byteBuff.rewind();
- byteBuff.put(seed);
-
- w.lock();
- try {
- return ethkit_secp256k1_context_randomize(byteBuff, Secp256k1Context.getContext()) == 1;
- } finally {
- w.unlock();
- }
- }
-
- private static native long secp256k1_ctx_clone(long context);
-
- private static native int ethkit_secp256k1_context_randomize(ByteBuffer byteBuff, long context);
-
- private static native byte[][] secp256k1_privkey_tweak_add(ByteBuffer byteBuff, long context);
-
- private static native byte[][] secp256k1_privkey_tweak_mul(ByteBuffer byteBuff, long context);
-
- private static native byte[][] secp256k1_pubkey_tweak_add(ByteBuffer byteBuff, long context, int pubLen);
-
- private static native byte[][] secp256k1_pubkey_tweak_mul(ByteBuffer byteBuff, long context, int pubLen);
-
- private static native void secp256k1_destroy_context(long context);
-
- private static native int ethkit_secp256k1_ecdsa_verify(ByteBuffer byteBuff, long context, int sigLen, int pubLen);
-
- private static native byte[][] ethkit_secp256k1_ecdsa_sign(ByteBuffer byteBuff, long context);
-
- private static native int ethkit_secp256k1_ec_seckey_verify(ByteBuffer byteBuff, long context);
-
- private static native byte[][] ethkit_secp256k1_ec_pubkey_create(ByteBuffer byteBuff, long context);
-
- private static native byte[][] ethkit_secp256k1_ec_pubkey_parse(ByteBuffer byteBuff, long context, int inputLen);
-
- private static native byte[][] secp256k1_ecdh(ByteBuffer byteBuff, long context, int inputLen);
-
-}
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java b/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java
deleted file mode 100644
index c00d0889..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java
+++ /dev/null
@@ -1,226 +0,0 @@
-package org.bitcoin;
-
-import com.google.common.io.BaseEncoding;
-import java.util.Arrays;
-import java.math.BigInteger;
-import javax.xml.bind.DatatypeConverter;
-import static org.bitcoin.NativeSecp256k1Util.*;
-
-/**
- * This class holds test cases defined for testing this library.
- */
-public class NativeSecp256k1Test {
-
- //TODO improve comments/add more tests
- /**
- * This tests verify() for a valid signature
- */
- public static void testVerifyPos() throws AssertFailException{
- boolean result = false;
- byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90".toLowerCase()); //sha256hash of "testing"
- byte[] sig = BaseEncoding.base16().lowerCase().decode("3044022079BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F817980220294F14E883B3F525B5367756C2A11EF6CF84B730B36C17CB0C56F0AAB2C98589".toLowerCase());
- byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
-
- result = NativeSecp256k1.verify( data, sig, pub);
- assertEquals( result, true , "testVerifyPos");
- }
-
- /**
- * This tests verify() for a non-valid signature
- */
- public static void testVerifyNeg() throws AssertFailException{
- boolean result = false;
- byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A91".toLowerCase()); //sha256hash of "testing"
- byte[] sig = BaseEncoding.base16().lowerCase().decode("3044022079BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F817980220294F14E883B3F525B5367756C2A11EF6CF84B730B36C17CB0C56F0AAB2C98589".toLowerCase());
- byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
-
- result = NativeSecp256k1.verify( data, sig, pub);
- //System.out.println(" TEST " + new BigInteger(1, resultbytes).toString(16));
- assertEquals( result, false , "testVerifyNeg");
- }
-
- /**
- * This tests secret key verify() for a valid secretkey
- */
- public static void testSecKeyVerifyPos() throws AssertFailException{
- boolean result = false;
- byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
-
- result = NativeSecp256k1.secKeyVerify( sec );
- //System.out.println(" TEST " + new BigInteger(1, resultbytes).toString(16));
- assertEquals( result, true , "testSecKeyVerifyPos");
- }
-
- /**
- * This tests secret key verify() for a invalid secretkey
- */
- public static void testSecKeyVerifyNeg() throws AssertFailException{
- boolean result = false;
- byte[] sec = BaseEncoding.base16().lowerCase().decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF".toLowerCase());
-
- result = NativeSecp256k1.secKeyVerify( sec );
- //System.out.println(" TEST " + new BigInteger(1, resultbytes).toString(16));
- assertEquals( result, false , "testSecKeyVerifyNeg");
- }
-
- /**
- * This tests public key create() for a valid secretkey
- */
- public static void testPubKeyCreatePos() throws AssertFailException{
- byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
-
- byte[] resultArr = NativeSecp256k1.computePubkey( sec);
- String pubkeyString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
- assertEquals( pubkeyString , "04C591A8FF19AC9C4E4E5793673B83123437E975285E7B442F4EE2654DFFCA5E2D2103ED494718C697AC9AEBCFD19612E224DB46661011863ED2FC54E71861E2A6" , "testPubKeyCreatePos");
- }
-
- /**
- * This tests public key create() for a invalid secretkey
- */
- public static void testPubKeyCreateNeg() throws AssertFailException{
- byte[] sec = BaseEncoding.base16().lowerCase().decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF".toLowerCase());
-
- byte[] resultArr = NativeSecp256k1.computePubkey( sec);
- String pubkeyString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
- assertEquals( pubkeyString, "" , "testPubKeyCreateNeg");
- }
-
- /**
- * This tests sign() for a valid secretkey
- */
- public static void testSignPos() throws AssertFailException{
-
- byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90".toLowerCase()); //sha256hash of "testing"
- byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
-
- byte[] resultArr = NativeSecp256k1.sign(data, sec);
- String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
- assertEquals( sigString, "30440220182A108E1448DC8F1FB467D06A0F3BB8EA0533584CB954EF8DA112F1D60E39A202201C66F36DA211C087F3AF88B50EDF4F9BDAA6CF5FD6817E74DCA34DB12390C6E9" , "testSignPos");
- }
-
- /**
- * This tests sign() for a invalid secretkey
- */
- public static void testSignNeg() throws AssertFailException{
- byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90".toLowerCase()); //sha256hash of "testing"
- byte[] sec = BaseEncoding.base16().lowerCase().decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF".toLowerCase());
-
- byte[] resultArr = NativeSecp256k1.sign(data, sec);
- String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
- assertEquals( sigString, "" , "testSignNeg");
- }
-
- /**
- * This tests private key tweak-add
- */
- public static void testPrivKeyTweakAdd_1() throws AssertFailException {
- byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
- byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak"
-
- byte[] resultArr = NativeSecp256k1.privKeyTweakAdd( sec , data );
- String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
- assertEquals( sigString , "A168571E189E6F9A7E2D657A4B53AE99B909F7E712D1C23CED28093CD57C88F3" , "testPrivKeyAdd_1");
- }
-
- /**
- * This tests private key tweak-mul
- */
- public static void testPrivKeyTweakMul_1() throws AssertFailException {
- byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
- byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak"
-
- byte[] resultArr = NativeSecp256k1.privKeyTweakMul( sec , data );
- String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
- assertEquals( sigString , "97F8184235F101550F3C71C927507651BD3F1CDB4A5A33B8986ACF0DEE20FFFC" , "testPrivKeyMul_1");
- }
-
- /**
- * This tests private key tweak-add uncompressed
- */
- public static void testPrivKeyTweakAdd_2() throws AssertFailException {
- byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
- byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak"
-
- byte[] resultArr = NativeSecp256k1.pubKeyTweakAdd( pub , data );
- String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
- assertEquals( sigString , "0411C6790F4B663CCE607BAAE08C43557EDC1A4D11D88DFCB3D841D0C6A941AF525A268E2A863C148555C48FB5FBA368E88718A46E205FABC3DBA2CCFFAB0796EF" , "testPrivKeyAdd_2");
- }
-
- /**
- * This tests private key tweak-mul uncompressed
- */
- public static void testPrivKeyTweakMul_2() throws AssertFailException {
- byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
- byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak"
-
- byte[] resultArr = NativeSecp256k1.pubKeyTweakMul( pub , data );
- String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
- assertEquals( sigString , "04E0FE6FE55EBCA626B98A807F6CAF654139E14E5E3698F01A9A658E21DC1D2791EC060D4F412A794D5370F672BC94B722640B5F76914151CFCA6E712CA48CC589" , "testPrivKeyMul_2");
- }
-
- /**
- * This tests seed randomization
- */
- public static void testRandomize() throws AssertFailException {
- byte[] seed = BaseEncoding.base16().lowerCase().decode("A441B15FE9A3CF56661190A0B93B9DEC7D04127288CC87250967CF3B52894D11".toLowerCase()); //sha256hash of "random"
- boolean result = NativeSecp256k1.randomize(seed);
- assertEquals( result, true, "testRandomize");
- }
-
- public static void testCreateECDHSecret() throws AssertFailException{
-
- byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
- byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
-
- byte[] resultArr = NativeSecp256k1.createECDHSecret(sec, pub);
- String ecdhString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
- assertEquals( ecdhString, "2A2A67007A926E6594AF3EB564FC74005B37A9C8AEF2033C4552051B5C87F043" , "testCreateECDHSecret");
- }
-
- public static void main(String[] args) throws AssertFailException{
-
-
- System.out.println("\n libsecp256k1 enabled: " + Secp256k1Context.isEnabled() + "\n");
-
- assertEquals( Secp256k1Context.isEnabled(), true, "isEnabled" );
-
- //Test verify() success/fail
- testVerifyPos();
- testVerifyNeg();
-
- //Test secKeyVerify() success/fail
- testSecKeyVerifyPos();
- testSecKeyVerifyNeg();
-
- //Test computePubkey() success/fail
- testPubKeyCreatePos();
- testPubKeyCreateNeg();
-
- //Test sign() success/fail
- testSignPos();
- testSignNeg();
-
- //Test privKeyTweakAdd() 1
- testPrivKeyTweakAdd_1();
-
- //Test privKeyTweakMul() 2
- testPrivKeyTweakMul_1();
-
- //Test privKeyTweakAdd() 3
- testPrivKeyTweakAdd_2();
-
- //Test privKeyTweakMul() 4
- testPrivKeyTweakMul_2();
-
- //Test randomize()
- testRandomize();
-
- //Test ECDH
- testCreateECDHSecret();
-
- NativeSecp256k1.cleanup();
-
- System.out.println(" All tests passed." );
-
- }
-}
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java b/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java
deleted file mode 100644
index 04732ba0..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java
+++ /dev/null
@@ -1,45 +0,0 @@
-/*
- * Copyright 2014-2016 the libsecp256k1 contributors
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-package org.bitcoin;
-
-public class NativeSecp256k1Util{
-
- public static void assertEquals( int val, int val2, String message ) throws AssertFailException{
- if( val != val2 )
- throw new AssertFailException("FAIL: " + message);
- }
-
- public static void assertEquals( boolean val, boolean val2, String message ) throws AssertFailException{
- if( val != val2 )
- throw new AssertFailException("FAIL: " + message);
- else
- System.out.println("PASS: " + message);
- }
-
- public static void assertEquals( String val, String val2, String message ) throws AssertFailException{
- if( !val.equals(val2) )
- throw new AssertFailException("FAIL: " + message);
- else
- System.out.println("PASS: " + message);
- }
-
- public static class AssertFailException extends Exception {
- public AssertFailException(String message) {
- super( message );
- }
- }
-}
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/Secp256k1Context.java b/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/Secp256k1Context.java
deleted file mode 100644
index 216c986a..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/Secp256k1Context.java
+++ /dev/null
@@ -1,51 +0,0 @@
-/*
- * Copyright 2014-2016 the libsecp256k1 contributors
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-package org.bitcoin;
-
-/**
- * This class holds the context reference used in native methods
- * to handle ECDSA operations.
- */
-public class Secp256k1Context {
- private static final boolean enabled; //true if the library is loaded
- private static final long context; //ref to pointer to context obj
-
- static { //static initializer
- boolean isEnabled = true;
- long contextRef = -1;
- try {
- System.loadLibrary("secp256k1");
- contextRef = secp256k1_init_context();
- } catch (UnsatisfiedLinkError e) {
- System.out.println("UnsatisfiedLinkError: " + e.toString());
- isEnabled = false;
- }
- enabled = isEnabled;
- context = contextRef;
- }
-
- public static boolean isEnabled() {
- return enabled;
- }
-
- public static long getContext() {
- if(!enabled) return -1; //sanity check
- return context;
- }
-
- private static native long secp256k1_init_context();
-}
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.c b/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.c
deleted file mode 100644
index 6352c62d..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.c
+++ /dev/null
@@ -1,377 +0,0 @@
-#include
-#include
-#include
-#include "org_bitcoin_NativeSecp256k1.h"
-#include "include/secp256k1.h"
-#include "include/secp256k1_ecdh.h"
-#include "include/secp256k1_recovery.h"
-
-
-SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ctx_1clone
- (JNIEnv* env, jclass classObject, jlong ctx_l)
-{
- const secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
-
- jlong ctx_clone_l = (uintptr_t) ethkit_secp256k1_context_clone(ctx);
-
- (void)classObject;(void)env;
-
- return ctx_clone_l;
-
-}
-
-SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1context_1randomize
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
-
- const unsigned char* seed = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
-
- (void)classObject;
-
- return ethkit_secp256k1_context_randomize(ctx, seed);
-
-}
-
-SECP256K1_API void JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1destroy_1context
- (JNIEnv* env, jclass classObject, jlong ctx_l)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
-
- ethkit_secp256k1_context_destroy(ctx);
-
- (void)classObject;(void)env;
-}
-
-SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint siglen, jint publen)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
-
- unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
- const unsigned char* sigdata = { (unsigned char*) (data + 32) };
- const unsigned char* pubdata = { (unsigned char*) (data + siglen + 32) };
-
- secp256k1_ecdsa_signature sig;
- secp256k1_pubkey pubkey;
-
- int ret = ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigdata, siglen);
-
- if( ret ) {
- ret = ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pubdata, publen);
-
- if( ret ) {
- ret = ethkit_secp256k1_ecdsa_verify(ctx, &sig, data, &pubkey);
- }
- }
-
- (void)classObject;
-
- return ret;
-}
-
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1sign
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
- unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
- unsigned char* secKey = (unsigned char*) (data + 32);
-
- jobjectArray retArray;
- jbyteArray sigArray, intsByteArray;
- unsigned char intsarray[2];
-
- secp256k1_ecdsa_signature sig[72];
-
- int ret = ethkit_secp256k1_ecdsa_sign(ctx, sig, data, secKey, NULL, NULL );
-
- unsigned char outputSer[72];
- size_t outputLen = 72;
-
- if( ret ) {
- int ret2 = ethkit_secp256k1_ecdsa_signature_serialize_der(ctx,outputSer, &outputLen, sig ); (void)ret2;
- }
-
- intsarray[0] = outputLen;
- intsarray[1] = ret;
-
- retArray = (*env)->NewObjectArray(env, 2,
- (*env)->FindClass(env, "[B"),
- (*env)->NewByteArray(env, 1));
-
- sigArray = (*env)->NewByteArray(env, outputLen);
- (*env)->SetByteArrayRegion(env, sigArray, 0, outputLen, (jbyte*)outputSer);
- (*env)->SetObjectArrayElement(env, retArray, 0, sigArray);
-
- intsByteArray = (*env)->NewByteArray(env, 2);
- (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
- (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
-
- (void)classObject;
-
- return retArray;
-}
-
-SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1seckey_1verify
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
- unsigned char* secKey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
-
- (void)classObject;
-
- return ethkit_secp256k1_ec_seckey_verify(ctx, secKey);
-}
-
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1create
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
- const unsigned char* secKey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
-
- secp256k1_pubkey pubkey;
-
- jobjectArray retArray;
- jbyteArray pubkeyArray, intsByteArray;
- unsigned char intsarray[2];
-
- int ret = ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, secKey);
-
- unsigned char outputSer[65];
- size_t outputLen = 65;
-
- if( ret ) {
- int ret2 = ethkit_secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2;
- }
-
- intsarray[0] = outputLen;
- intsarray[1] = ret;
-
- retArray = (*env)->NewObjectArray(env, 2,
- (*env)->FindClass(env, "[B"),
- (*env)->NewByteArray(env, 1));
-
- pubkeyArray = (*env)->NewByteArray(env, outputLen);
- (*env)->SetByteArrayRegion(env, pubkeyArray, 0, outputLen, (jbyte*)outputSer);
- (*env)->SetObjectArrayElement(env, retArray, 0, pubkeyArray);
-
- intsByteArray = (*env)->NewByteArray(env, 2);
- (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
- (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
-
- (void)classObject;
-
- return retArray;
-
-}
-
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1add
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
- unsigned char* privkey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
- const unsigned char* tweak = (unsigned char*) (privkey + 32);
-
- jobjectArray retArray;
- jbyteArray privArray, intsByteArray;
- unsigned char intsarray[2];
-
- int privkeylen = 32;
-
- int ret = ethkit_secp256k1_ec_privkey_tweak_add(ctx, privkey, tweak);
-
- intsarray[0] = privkeylen;
- intsarray[1] = ret;
-
- retArray = (*env)->NewObjectArray(env, 2,
- (*env)->FindClass(env, "[B"),
- (*env)->NewByteArray(env, 1));
-
- privArray = (*env)->NewByteArray(env, privkeylen);
- (*env)->SetByteArrayRegion(env, privArray, 0, privkeylen, (jbyte*)privkey);
- (*env)->SetObjectArrayElement(env, retArray, 0, privArray);
-
- intsByteArray = (*env)->NewByteArray(env, 2);
- (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
- (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
-
- (void)classObject;
-
- return retArray;
-}
-
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1mul
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
- unsigned char* privkey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
- const unsigned char* tweak = (unsigned char*) (privkey + 32);
-
- jobjectArray retArray;
- jbyteArray privArray, intsByteArray;
- unsigned char intsarray[2];
-
- int privkeylen = 32;
-
- int ret = ethkit_secp256k1_ec_privkey_tweak_mul(ctx, privkey, tweak);
-
- intsarray[0] = privkeylen;
- intsarray[1] = ret;
-
- retArray = (*env)->NewObjectArray(env, 2,
- (*env)->FindClass(env, "[B"),
- (*env)->NewByteArray(env, 1));
-
- privArray = (*env)->NewByteArray(env, privkeylen);
- (*env)->SetByteArrayRegion(env, privArray, 0, privkeylen, (jbyte*)privkey);
- (*env)->SetObjectArrayElement(env, retArray, 0, privArray);
-
- intsByteArray = (*env)->NewByteArray(env, 2);
- (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
- (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
-
- (void)classObject;
-
- return retArray;
-}
-
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1add
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
-/* secp256k1_pubkey* pubkey = (secp256k1_pubkey*) (*env)->GetDirectBufferAddress(env, byteBufferObject);*/
- unsigned char* pkey = (*env)->GetDirectBufferAddress(env, byteBufferObject);
- const unsigned char* tweak = (unsigned char*) (pkey + publen);
-
- jobjectArray retArray;
- jbyteArray pubArray, intsByteArray;
- unsigned char intsarray[2];
- unsigned char outputSer[65];
- size_t outputLen = 65;
-
- secp256k1_pubkey pubkey;
- int ret = ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pkey, publen);
-
- if( ret ) {
- ret = ethkit_secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, tweak);
- }
-
- if( ret ) {
- int ret2 = ethkit_secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2;
- }
-
- intsarray[0] = outputLen;
- intsarray[1] = ret;
-
- retArray = (*env)->NewObjectArray(env, 2,
- (*env)->FindClass(env, "[B"),
- (*env)->NewByteArray(env, 1));
-
- pubArray = (*env)->NewByteArray(env, outputLen);
- (*env)->SetByteArrayRegion(env, pubArray, 0, outputLen, (jbyte*)outputSer);
- (*env)->SetObjectArrayElement(env, retArray, 0, pubArray);
-
- intsByteArray = (*env)->NewByteArray(env, 2);
- (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
- (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
-
- (void)classObject;
-
- return retArray;
-}
-
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1mul
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
- unsigned char* pkey = (*env)->GetDirectBufferAddress(env, byteBufferObject);
- const unsigned char* tweak = (unsigned char*) (pkey + publen);
-
- jobjectArray retArray;
- jbyteArray pubArray, intsByteArray;
- unsigned char intsarray[2];
- unsigned char outputSer[65];
- size_t outputLen = 65;
-
- secp256k1_pubkey pubkey;
- int ret = ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pkey, publen);
-
- if ( ret ) {
- ret = ethkit_secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, tweak);
- }
-
- if( ret ) {
- int ret2 = ethkit_secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2;
- }
-
- intsarray[0] = outputLen;
- intsarray[1] = ret;
-
- retArray = (*env)->NewObjectArray(env, 2,
- (*env)->FindClass(env, "[B"),
- (*env)->NewByteArray(env, 1));
-
- pubArray = (*env)->NewByteArray(env, outputLen);
- (*env)->SetByteArrayRegion(env, pubArray, 0, outputLen, (jbyte*)outputSer);
- (*env)->SetObjectArrayElement(env, retArray, 0, pubArray);
-
- intsByteArray = (*env)->NewByteArray(env, 2);
- (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
- (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
-
- (void)classObject;
-
- return retArray;
-}
-
-SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1pubkey_1combine
- (JNIEnv * env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint numkeys)
-{
- (void)classObject;(void)env;(void)byteBufferObject;(void)ctx_l;(void)numkeys;
-
- return 0;
-}
-
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdh
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen)
-{
- secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
- const unsigned char* secdata = (*env)->GetDirectBufferAddress(env, byteBufferObject);
- const unsigned char* pubdata = (const unsigned char*) (secdata + 32);
-
- jobjectArray retArray;
- jbyteArray outArray, intsByteArray;
- unsigned char intsarray[1];
- secp256k1_pubkey pubkey;
- unsigned char nonce_res[32];
- size_t outputLen = 32;
-
- int ret = ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pubdata, publen);
-
- if (ret) {
- ret = secp256k1_ecdh(
- ctx,
- nonce_res,
- &pubkey,
- secdata
- );
- }
-
- intsarray[0] = ret;
-
- retArray = (*env)->NewObjectArray(env, 2,
- (*env)->FindClass(env, "[B"),
- (*env)->NewByteArray(env, 1));
-
- outArray = (*env)->NewByteArray(env, outputLen);
- (*env)->SetByteArrayRegion(env, outArray, 0, 32, (jbyte*)nonce_res);
- (*env)->SetObjectArrayElement(env, retArray, 0, outArray);
-
- intsByteArray = (*env)->NewByteArray(env, 1);
- (*env)->SetByteArrayRegion(env, intsByteArray, 0, 1, (jbyte*)intsarray);
- (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
-
- (void)classObject;
-
- return retArray;
-}
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.h
deleted file mode 100644
index 52b9bdb1..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.h
+++ /dev/null
@@ -1,119 +0,0 @@
-/* DO NOT EDIT THIS FILE - it is machine generated */
-#include
-#include "include/secp256k1.h"
-/* Header for class org_bitcoin_NativeSecp256k1 */
-
-#ifndef _Included_org_bitcoin_NativeSecp256k1
-#define _Included_org_bitcoin_NativeSecp256k1
-#ifdef __cplusplus
-extern "C" {
-#endif
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: secp256k1_ctx_clone
- * Signature: (J)J
- */
-SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ctx_1clone
- (JNIEnv *, jclass, jlong);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: ethkit_secp256k1_context_randomize
- * Signature: (Ljava/nio/ByteBuffer;J)I
- */
-SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1context_1randomize
- (JNIEnv *, jclass, jobject, jlong);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: secp256k1_privkey_tweak_add
- * Signature: (Ljava/nio/ByteBuffer;J)[[B
- */
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1add
- (JNIEnv *, jclass, jobject, jlong);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: secp256k1_privkey_tweak_mul
- * Signature: (Ljava/nio/ByteBuffer;J)[[B
- */
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1mul
- (JNIEnv *, jclass, jobject, jlong);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: secp256k1_pubkey_tweak_add
- * Signature: (Ljava/nio/ByteBuffer;JI)[[B
- */
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1add
- (JNIEnv *, jclass, jobject, jlong, jint);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: secp256k1_pubkey_tweak_mul
- * Signature: (Ljava/nio/ByteBuffer;JI)[[B
- */
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1mul
- (JNIEnv *, jclass, jobject, jlong, jint);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: secp256k1_destroy_context
- * Signature: (J)V
- */
-SECP256K1_API void JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1destroy_1context
- (JNIEnv *, jclass, jlong);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: ethkit_secp256k1_ecdsa_verify
- * Signature: (Ljava/nio/ByteBuffer;JII)I
- */
-SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify
- (JNIEnv *, jclass, jobject, jlong, jint, jint);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: ethkit_secp256k1_ecdsa_sign
- * Signature: (Ljava/nio/ByteBuffer;J)[[B
- */
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1sign
- (JNIEnv *, jclass, jobject, jlong);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: ethkit_secp256k1_ec_seckey_verify
- * Signature: (Ljava/nio/ByteBuffer;J)I
- */
-SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1seckey_1verify
- (JNIEnv *, jclass, jobject, jlong);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: ethkit_secp256k1_ec_pubkey_create
- * Signature: (Ljava/nio/ByteBuffer;J)[[B
- */
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1create
- (JNIEnv *, jclass, jobject, jlong);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: ethkit_secp256k1_ec_pubkey_parse
- * Signature: (Ljava/nio/ByteBuffer;JI)[[B
- */
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1parse
- (JNIEnv *, jclass, jobject, jlong, jint);
-
-/*
- * Class: org_bitcoin_NativeSecp256k1
- * Method: secp256k1_ecdh
- * Signature: (Ljava/nio/ByteBuffer;JI)[[B
- */
-SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdh
- (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen);
-
-
-#ifdef __cplusplus
-}
-#endif
-#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.c b/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.c
deleted file mode 100644
index c30b03e5..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.c
+++ /dev/null
@@ -1,15 +0,0 @@
-#include
-#include
-#include "org_bitcoin_Secp256k1Context.h"
-#include "include/secp256k1.h"
-
-SECP256K1_API jlong JNICALL Java_org_bitcoin_Secp256k1Context_secp256k1_1init_1context
- (JNIEnv* env, jclass classObject)
-{
- secp256k1_context *ctx = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
-
- (void)classObject;(void)env;
-
- return (uintptr_t)ctx;
-}
-
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.h
deleted file mode 100644
index 0d2bc84b..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.h
+++ /dev/null
@@ -1,22 +0,0 @@
-/* DO NOT EDIT THIS FILE - it is machine generated */
-#include
-#include "include/secp256k1.h"
-/* Header for class org_bitcoin_Secp256k1Context */
-
-#ifndef _Included_org_bitcoin_Secp256k1Context
-#define _Included_org_bitcoin_Secp256k1Context
-#ifdef __cplusplus
-extern "C" {
-#endif
-/*
- * Class: org_bitcoin_Secp256k1Context
- * Method: secp256k1_init_context
- * Signature: ()J
- */
-SECP256K1_API jlong JNICALL Java_org_bitcoin_Secp256k1Context_secp256k1_1init_1context
- (JNIEnv *, jclass);
-
-#ifdef __cplusplus
-}
-#endif
-#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv32.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv32.h
new file mode 100644
index 00000000..846c642f
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv32.h
@@ -0,0 +1,43 @@
+/***********************************************************************
+ * Copyright (c) 2020 Peter Dettman *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODINV32_H
+#define SECP256K1_MODINV32_H
+
+#include "util.h"
+
+/* A signed 30-bit limb representation of integers.
+ *
+ * Its value is sum(v[i] * 2^(30*i), i=0..8). */
+typedef struct {
+ int32_t v[9];
+} secp256k1_modinv32_signed30;
+
+typedef struct {
+ /* The modulus in signed30 notation, must be odd and in [3, 2^256]. */
+ secp256k1_modinv32_signed30 modulus;
+
+ /* modulus^{-1} mod 2^30 */
+ uint32_t modulus_inv30;
+} secp256k1_modinv32_modinfo;
+
+/* Replace x with its modular inverse mod modinfo->modulus. x must be in range [0, modulus).
+ * If x is zero, the result will be zero as well. If not, the inverse must exist (i.e., the gcd of
+ * x and modulus must be 1). These rules are automatically satisfied if the modulus is prime.
+ *
+ * On output, all of x's limbs will be in [0, 2^30).
+ */
+static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo);
+
+/* Same as secp256k1_modinv32_var, but constant time in x (not in the modulus). */
+static void secp256k1_modinv32(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo);
+
+/* Compute the Jacobi symbol for (x | modinfo->modulus). x must be coprime with modulus (and thus
+ * cannot be 0, as modulus >= 3). All limbs of x must be non-negative. Returns 0 if the result
+ * cannot be computed. */
+static int secp256k1_jacobi32_maybe_var(const secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo);
+
+#endif /* SECP256K1_MODINV32_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv32_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv32_impl.h
new file mode 100644
index 00000000..981d2abc
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv32_impl.h
@@ -0,0 +1,725 @@
+/***********************************************************************
+ * Copyright (c) 2020 Peter Dettman *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODINV32_IMPL_H
+#define SECP256K1_MODINV32_IMPL_H
+
+#include "modinv32.h"
+
+#include "util.h"
+
+#include
+
+/* This file implements modular inversion based on the paper "Fast constant-time gcd computation and
+ * modular inversion" by Daniel J. Bernstein and Bo-Yin Yang.
+ *
+ * For an explanation of the algorithm, see doc/safegcd_implementation.md. This file contains an
+ * implementation for N=30, using 30-bit signed limbs represented as int32_t.
+ */
+
+#ifdef VERIFY
+static const secp256k1_modinv32_signed30 SECP256K1_SIGNED30_ONE = {{1}};
+
+/* Compute a*factor and put it in r. All but the top limb in r will be in range [0,2^30). */
+static void secp256k1_modinv32_mul_30(secp256k1_modinv32_signed30 *r, const secp256k1_modinv32_signed30 *a, int alen, int32_t factor) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ int64_t c = 0;
+ int i;
+ for (i = 0; i < 8; ++i) {
+ if (i < alen) c += (int64_t)a->v[i] * factor;
+ r->v[i] = (int32_t)c & M30; c >>= 30;
+ }
+ if (8 < alen) c += (int64_t)a->v[8] * factor;
+ VERIFY_CHECK(c == (int32_t)c);
+ r->v[8] = (int32_t)c;
+}
+
+/* Return -1 for ab*factor. A consists of alen limbs; b has 9. */
+static int secp256k1_modinv32_mul_cmp_30(const secp256k1_modinv32_signed30 *a, int alen, const secp256k1_modinv32_signed30 *b, int32_t factor) {
+ int i;
+ secp256k1_modinv32_signed30 am, bm;
+ secp256k1_modinv32_mul_30(&am, a, alen, 1); /* Normalize all but the top limb of a. */
+ secp256k1_modinv32_mul_30(&bm, b, 9, factor);
+ for (i = 0; i < 8; ++i) {
+ /* Verify that all but the top limb of a and b are normalized. */
+ VERIFY_CHECK(am.v[i] >> 30 == 0);
+ VERIFY_CHECK(bm.v[i] >> 30 == 0);
+ }
+ for (i = 8; i >= 0; --i) {
+ if (am.v[i] < bm.v[i]) return -1;
+ if (am.v[i] > bm.v[i]) return 1;
+ }
+ return 0;
+}
+#endif
+
+/* Take as input a signed30 number in range (-2*modulus,modulus), and add a multiple of the modulus
+ * to it to bring it to range [0,modulus). If sign < 0, the input will also be negated in the
+ * process. The input must have limbs in range (-2^30,2^30). The output will have limbs in range
+ * [0,2^30). */
+static void secp256k1_modinv32_normalize_30(secp256k1_modinv32_signed30 *r, int32_t sign, const secp256k1_modinv32_modinfo *modinfo) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ int32_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4],
+ r5 = r->v[5], r6 = r->v[6], r7 = r->v[7], r8 = r->v[8];
+ volatile int32_t cond_add, cond_negate;
+
+#ifdef VERIFY
+ /* Verify that all limbs are in range (-2^30,2^30). */
+ int i;
+ for (i = 0; i < 9; ++i) {
+ VERIFY_CHECK(r->v[i] >= -M30);
+ VERIFY_CHECK(r->v[i] <= M30);
+ }
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, -2) > 0); /* r > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 1) < 0); /* r < modulus */
+#endif
+
+ /* In a first step, add the modulus if the input is negative, and then negate if requested.
+ * This brings r from range (-2*modulus,modulus) to range (-modulus,modulus). As all input
+ * limbs are in range (-2^30,2^30), this cannot overflow an int32_t. Note that the right
+ * shifts below are signed sign-extending shifts (see assumptions.h for tests that that is
+ * indeed the behavior of the right shift operator). */
+ cond_add = r8 >> 31;
+ r0 += modinfo->modulus.v[0] & cond_add;
+ r1 += modinfo->modulus.v[1] & cond_add;
+ r2 += modinfo->modulus.v[2] & cond_add;
+ r3 += modinfo->modulus.v[3] & cond_add;
+ r4 += modinfo->modulus.v[4] & cond_add;
+ r5 += modinfo->modulus.v[5] & cond_add;
+ r6 += modinfo->modulus.v[6] & cond_add;
+ r7 += modinfo->modulus.v[7] & cond_add;
+ r8 += modinfo->modulus.v[8] & cond_add;
+ cond_negate = sign >> 31;
+ r0 = (r0 ^ cond_negate) - cond_negate;
+ r1 = (r1 ^ cond_negate) - cond_negate;
+ r2 = (r2 ^ cond_negate) - cond_negate;
+ r3 = (r3 ^ cond_negate) - cond_negate;
+ r4 = (r4 ^ cond_negate) - cond_negate;
+ r5 = (r5 ^ cond_negate) - cond_negate;
+ r6 = (r6 ^ cond_negate) - cond_negate;
+ r7 = (r7 ^ cond_negate) - cond_negate;
+ r8 = (r8 ^ cond_negate) - cond_negate;
+ /* Propagate the top bits, to bring limbs back to range (-2^30,2^30). */
+ r1 += r0 >> 30; r0 &= M30;
+ r2 += r1 >> 30; r1 &= M30;
+ r3 += r2 >> 30; r2 &= M30;
+ r4 += r3 >> 30; r3 &= M30;
+ r5 += r4 >> 30; r4 &= M30;
+ r6 += r5 >> 30; r5 &= M30;
+ r7 += r6 >> 30; r6 &= M30;
+ r8 += r7 >> 30; r7 &= M30;
+
+ /* In a second step add the modulus again if the result is still negative, bringing r to range
+ * [0,modulus). */
+ cond_add = r8 >> 31;
+ r0 += modinfo->modulus.v[0] & cond_add;
+ r1 += modinfo->modulus.v[1] & cond_add;
+ r2 += modinfo->modulus.v[2] & cond_add;
+ r3 += modinfo->modulus.v[3] & cond_add;
+ r4 += modinfo->modulus.v[4] & cond_add;
+ r5 += modinfo->modulus.v[5] & cond_add;
+ r6 += modinfo->modulus.v[6] & cond_add;
+ r7 += modinfo->modulus.v[7] & cond_add;
+ r8 += modinfo->modulus.v[8] & cond_add;
+ /* And propagate again. */
+ r1 += r0 >> 30; r0 &= M30;
+ r2 += r1 >> 30; r1 &= M30;
+ r3 += r2 >> 30; r2 &= M30;
+ r4 += r3 >> 30; r3 &= M30;
+ r5 += r4 >> 30; r4 &= M30;
+ r6 += r5 >> 30; r5 &= M30;
+ r7 += r6 >> 30; r6 &= M30;
+ r8 += r7 >> 30; r7 &= M30;
+
+ r->v[0] = r0;
+ r->v[1] = r1;
+ r->v[2] = r2;
+ r->v[3] = r3;
+ r->v[4] = r4;
+ r->v[5] = r5;
+ r->v[6] = r6;
+ r->v[7] = r7;
+ r->v[8] = r8;
+
+ VERIFY_CHECK(r0 >> 30 == 0);
+ VERIFY_CHECK(r1 >> 30 == 0);
+ VERIFY_CHECK(r2 >> 30 == 0);
+ VERIFY_CHECK(r3 >> 30 == 0);
+ VERIFY_CHECK(r4 >> 30 == 0);
+ VERIFY_CHECK(r5 >> 30 == 0);
+ VERIFY_CHECK(r6 >> 30 == 0);
+ VERIFY_CHECK(r7 >> 30 == 0);
+ VERIFY_CHECK(r8 >> 30 == 0);
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 0) >= 0); /* r >= 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 1) < 0); /* r < modulus */
+}
+
+/* Data type for transition matrices (see section 3 of explanation).
+ *
+ * t = [ u v ]
+ * [ q r ]
+ */
+typedef struct {
+ int32_t u, v, q, r;
+} secp256k1_modinv32_trans2x2;
+
+/* Compute the transition matrix and zeta for 30 divsteps.
+ *
+ * Input: zeta: initial zeta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Return: final zeta
+ *
+ * Implements the divsteps_n_matrix function from the explanation.
+ */
+static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t) {
+ /* u,v,q,r are the elements of the transformation matrix being built up,
+ * starting with the identity matrix. Semantically they are signed integers
+ * in range [-2^30,2^30], but here represented as unsigned mod 2^32. This
+ * permits left shifting (which is UB for negative numbers). The range
+ * being inside [-2^31,2^31) means that casting to signed works correctly.
+ */
+ uint32_t u = 1, v = 0, q = 0, r = 1;
+ volatile uint32_t c1, c2;
+ uint32_t mask1, mask2, f = f0, g = g0, x, y, z;
+ int i;
+
+ for (i = 0; i < 30; ++i) {
+ VERIFY_CHECK((f & 1) == 1); /* f must always be odd */
+ VERIFY_CHECK((u * f0 + v * g0) == f << i);
+ VERIFY_CHECK((q * f0 + r * g0) == g << i);
+ /* Compute conditional masks for (zeta < 0) and for (g & 1). */
+ c1 = zeta >> 31;
+ mask1 = c1;
+ c2 = g & 1;
+ mask2 = -c2;
+ /* Compute x,y,z, conditionally negated versions of f,u,v. */
+ x = (f ^ mask1) - mask1;
+ y = (u ^ mask1) - mask1;
+ z = (v ^ mask1) - mask1;
+ /* Conditionally add x,y,z to g,q,r. */
+ g += x & mask2;
+ q += y & mask2;
+ r += z & mask2;
+ /* In what follows, mask1 is a condition mask for (zeta < 0) and (g & 1). */
+ mask1 &= mask2;
+ /* Conditionally change zeta into -zeta-2 or zeta-1. */
+ zeta = (zeta ^ mask1) - 1;
+ /* Conditionally add g,q,r to f,u,v. */
+ f += g & mask1;
+ u += q & mask1;
+ v += r & mask1;
+ /* Shifts */
+ g >>= 1;
+ u <<= 1;
+ v <<= 1;
+ /* Bounds on zeta that follow from the bounds on iteration count (max 20*30 divsteps). */
+ VERIFY_CHECK(zeta >= -601 && zeta <= 601);
+ }
+ /* Return data in t and return value. */
+ t->u = (int32_t)u;
+ t->v = (int32_t)v;
+ t->q = (int32_t)q;
+ t->r = (int32_t)r;
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2, the
+ * aggregate of 30 of them will have determinant 2^30. */
+ VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30);
+ return zeta;
+}
+
+/* secp256k1_modinv32_inv256[i] = -(2*i+1)^-1 (mod 256) */
+static const uint8_t secp256k1_modinv32_inv256[128] = {
+ 0xFF, 0x55, 0x33, 0x49, 0xC7, 0x5D, 0x3B, 0x11, 0x0F, 0xE5, 0xC3, 0x59,
+ 0xD7, 0xED, 0xCB, 0x21, 0x1F, 0x75, 0x53, 0x69, 0xE7, 0x7D, 0x5B, 0x31,
+ 0x2F, 0x05, 0xE3, 0x79, 0xF7, 0x0D, 0xEB, 0x41, 0x3F, 0x95, 0x73, 0x89,
+ 0x07, 0x9D, 0x7B, 0x51, 0x4F, 0x25, 0x03, 0x99, 0x17, 0x2D, 0x0B, 0x61,
+ 0x5F, 0xB5, 0x93, 0xA9, 0x27, 0xBD, 0x9B, 0x71, 0x6F, 0x45, 0x23, 0xB9,
+ 0x37, 0x4D, 0x2B, 0x81, 0x7F, 0xD5, 0xB3, 0xC9, 0x47, 0xDD, 0xBB, 0x91,
+ 0x8F, 0x65, 0x43, 0xD9, 0x57, 0x6D, 0x4B, 0xA1, 0x9F, 0xF5, 0xD3, 0xE9,
+ 0x67, 0xFD, 0xDB, 0xB1, 0xAF, 0x85, 0x63, 0xF9, 0x77, 0x8D, 0x6B, 0xC1,
+ 0xBF, 0x15, 0xF3, 0x09, 0x87, 0x1D, 0xFB, 0xD1, 0xCF, 0xA5, 0x83, 0x19,
+ 0x97, 0xAD, 0x8B, 0xE1, 0xDF, 0x35, 0x13, 0x29, 0xA7, 0x3D, 0x1B, 0xF1,
+ 0xEF, 0xC5, 0xA3, 0x39, 0xB7, 0xCD, 0xAB, 0x01
+};
+
+/* Compute the transition matrix and eta for 30 divsteps (variable time).
+ *
+ * Input: eta: initial eta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Return: final eta
+ *
+ * Implements the divsteps_n_matrix_var function from the explanation.
+ */
+static int32_t secp256k1_modinv32_divsteps_30_var(int32_t eta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t) {
+ /* Transformation matrix; see comments in secp256k1_modinv32_divsteps_30. */
+ uint32_t u = 1, v = 0, q = 0, r = 1;
+ uint32_t f = f0, g = g0, m;
+ uint16_t w;
+ int i = 30, limit, zeros;
+
+ for (;;) {
+ /* Use a sentinel bit to count zeros only up to i. */
+ zeros = secp256k1_ctz32_var(g | (UINT32_MAX << i));
+ /* Perform zeros divsteps at once; they all just divide g by two. */
+ g >>= zeros;
+ u <<= zeros;
+ v <<= zeros;
+ eta -= zeros;
+ i -= zeros;
+ /* We're done once we've done 30 divsteps. */
+ if (i == 0) break;
+ VERIFY_CHECK((f & 1) == 1);
+ VERIFY_CHECK((g & 1) == 1);
+ VERIFY_CHECK((u * f0 + v * g0) == f << (30 - i));
+ VERIFY_CHECK((q * f0 + r * g0) == g << (30 - i));
+ /* Bounds on eta that follow from the bounds on iteration count (max 25*30 divsteps). */
+ VERIFY_CHECK(eta >= -751 && eta <= 751);
+ /* If eta is negative, negate it and replace f,g with g,-f. */
+ if (eta < 0) {
+ uint32_t tmp;
+ eta = -eta;
+ tmp = f; f = g; g = -tmp;
+ tmp = u; u = q; q = -tmp;
+ tmp = v; v = r; r = -tmp;
+ }
+ /* eta is now >= 0. In what follows we're going to cancel out the bottom bits of g. No more
+ * than i can be cancelled out (as we'd be done before that point), and no more than eta+1
+ * can be done as its sign will flip once that happens. */
+ limit = ((int)eta + 1) > i ? i : ((int)eta + 1);
+ /* m is a mask for the bottom min(limit, 8) bits (our table only supports 8 bits). */
+ VERIFY_CHECK(limit > 0 && limit <= 30);
+ m = (UINT32_MAX >> (32 - limit)) & 255U;
+ /* Find what multiple of f must be added to g to cancel its bottom min(limit, 8) bits. */
+ w = (g * secp256k1_modinv32_inv256[(f >> 1) & 127]) & m;
+ /* Do so. */
+ g += f * w;
+ q += u * w;
+ r += v * w;
+ VERIFY_CHECK((g & m) == 0);
+ }
+ /* Return data in t and return value. */
+ t->u = (int32_t)u;
+ t->v = (int32_t)v;
+ t->q = (int32_t)q;
+ t->r = (int32_t)r;
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2, the
+ * aggregate of 30 of them will have determinant 2^30. */
+ VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30);
+ return eta;
+}
+
+/* Compute the transition matrix and eta for 30 posdivsteps (variable time, eta=-delta), and keeps track
+ * of the Jacobi symbol along the way. f0 and g0 must be f and g mod 2^32 rather than 2^30, because
+ * Jacobi tracking requires knowing (f mod 8) rather than just (f mod 2).
+ *
+ * Input: eta: initial eta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Input/Output: (*jacp & 1) is bitflipped if and only if the Jacobi symbol of (f | g) changes sign
+ * by applying the returned transformation matrix to it. The other bits of *jacp may
+ * change, but are meaningless.
+ * Return: final eta
+ */
+static int32_t secp256k1_modinv32_posdivsteps_30_var(int32_t eta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t, int *jacp) {
+ /* Transformation matrix. */
+ uint32_t u = 1, v = 0, q = 0, r = 1;
+ uint32_t f = f0, g = g0, m;
+ uint16_t w;
+ int i = 30, limit, zeros;
+ int jac = *jacp;
+
+ for (;;) {
+ /* Use a sentinel bit to count zeros only up to i. */
+ zeros = secp256k1_ctz32_var(g | (UINT32_MAX << i));
+ /* Perform zeros divsteps at once; they all just divide g by two. */
+ g >>= zeros;
+ u <<= zeros;
+ v <<= zeros;
+ eta -= zeros;
+ i -= zeros;
+ /* Update the bottom bit of jac: when dividing g by an odd power of 2,
+ * if (f mod 8) is 3 or 5, the Jacobi symbol changes sign. */
+ jac ^= (zeros & ((f >> 1) ^ (f >> 2)));
+ /* We're done once we've done 30 posdivsteps. */
+ if (i == 0) break;
+ VERIFY_CHECK((f & 1) == 1);
+ VERIFY_CHECK((g & 1) == 1);
+ VERIFY_CHECK((u * f0 + v * g0) == f << (30 - i));
+ VERIFY_CHECK((q * f0 + r * g0) == g << (30 - i));
+ /* If eta is negative, negate it and replace f,g with g,f. */
+ if (eta < 0) {
+ uint32_t tmp;
+ eta = -eta;
+ /* Update bottom bit of jac: when swapping f and g, the Jacobi symbol changes sign
+ * if both f and g are 3 mod 4. */
+ jac ^= ((f & g) >> 1);
+ tmp = f; f = g; g = tmp;
+ tmp = u; u = q; q = tmp;
+ tmp = v; v = r; r = tmp;
+ }
+ /* eta is now >= 0. In what follows we're going to cancel out the bottom bits of g. No more
+ * than i can be cancelled out (as we'd be done before that point), and no more than eta+1
+ * can be done as its sign will flip once that happens. */
+ limit = ((int)eta + 1) > i ? i : ((int)eta + 1);
+ /* m is a mask for the bottom min(limit, 8) bits (our table only supports 8 bits). */
+ VERIFY_CHECK(limit > 0 && limit <= 30);
+ m = (UINT32_MAX >> (32 - limit)) & 255U;
+ /* Find what multiple of f must be added to g to cancel its bottom min(limit, 8) bits. */
+ w = (g * secp256k1_modinv32_inv256[(f >> 1) & 127]) & m;
+ /* Do so. */
+ g += f * w;
+ q += u * w;
+ r += v * w;
+ VERIFY_CHECK((g & m) == 0);
+ }
+ /* Return data in t and return value. */
+ t->u = (int32_t)u;
+ t->v = (int32_t)v;
+ t->q = (int32_t)q;
+ t->r = (int32_t)r;
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2 or -2,
+ * the aggregate of 30 of them will have determinant 2^30 or -2^30. */
+ VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30 ||
+ (int64_t)t->u * t->r - (int64_t)t->v * t->q == -(((int64_t)1) << 30));
+ *jacp = jac;
+ return eta;
+}
+
+/* Compute (t/2^30) * [d, e] mod modulus, where t is a transition matrix for 30 divsteps.
+ *
+ * On input and output, d and e are in range (-2*modulus,modulus). All output limbs will be in range
+ * (-2^30,2^30).
+ *
+ * This implements the update_de function from the explanation.
+ */
+static void secp256k1_modinv32_update_de_30(secp256k1_modinv32_signed30 *d, secp256k1_modinv32_signed30 *e, const secp256k1_modinv32_trans2x2 *t, const secp256k1_modinv32_modinfo* modinfo) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ const int32_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int32_t di, ei, md, me, sd, se;
+ int64_t cd, ce;
+ int i;
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */
+ VERIFY_CHECK(labs(u) <= (M30 + 1 - labs(v))); /* |u|+|v| <= 2^30 */
+ VERIFY_CHECK(labs(q) <= (M30 + 1 - labs(r))); /* |q|+|r| <= 2^30 */
+
+ /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */
+ sd = d->v[8] >> 31;
+ se = e->v[8] >> 31;
+ md = (u & sd) + (v & se);
+ me = (q & sd) + (r & se);
+ /* Begin computing t*[d,e]. */
+ di = d->v[0];
+ ei = e->v[0];
+ cd = (int64_t)u * di + (int64_t)v * ei;
+ ce = (int64_t)q * di + (int64_t)r * ei;
+ /* Correct md,me so that t*[d,e]+modulus*[md,me] has 30 zero bottom bits. */
+ md -= (modinfo->modulus_inv30 * (uint32_t)cd + md) & M30;
+ me -= (modinfo->modulus_inv30 * (uint32_t)ce + me) & M30;
+ /* Update the beginning of computation for t*[d,e]+modulus*[md,me] now md,me are known. */
+ cd += (int64_t)modinfo->modulus.v[0] * md;
+ ce += (int64_t)modinfo->modulus.v[0] * me;
+ /* Verify that the low 30 bits of the computation are indeed zero, and then throw them away. */
+ VERIFY_CHECK(((int32_t)cd & M30) == 0); cd >>= 30;
+ VERIFY_CHECK(((int32_t)ce & M30) == 0); ce >>= 30;
+ /* Now iteratively compute limb i=1..8 of t*[d,e]+modulus*[md,me], and store them in output
+ * limb i-1 (shifting down by 30 bits). */
+ for (i = 1; i < 9; ++i) {
+ di = d->v[i];
+ ei = e->v[i];
+ cd += (int64_t)u * di + (int64_t)v * ei;
+ ce += (int64_t)q * di + (int64_t)r * ei;
+ cd += (int64_t)modinfo->modulus.v[i] * md;
+ ce += (int64_t)modinfo->modulus.v[i] * me;
+ d->v[i - 1] = (int32_t)cd & M30; cd >>= 30;
+ e->v[i - 1] = (int32_t)ce & M30; ce >>= 30;
+ }
+ /* What remains is limb 9 of t*[d,e]+modulus*[md,me]; store it as output limb 8. */
+ d->v[8] = (int32_t)cd;
+ e->v[8] = (int32_t)ce;
+
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */
+}
+
+/* Compute (t/2^30) * [f, g], where t is a transition matrix for 30 divsteps.
+ *
+ * This implements the update_fg function from the explanation.
+ */
+static void secp256k1_modinv32_update_fg_30(secp256k1_modinv32_signed30 *f, secp256k1_modinv32_signed30 *g, const secp256k1_modinv32_trans2x2 *t) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ const int32_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int32_t fi, gi;
+ int64_t cf, cg;
+ int i;
+ /* Start computing t*[f,g]. */
+ fi = f->v[0];
+ gi = g->v[0];
+ cf = (int64_t)u * fi + (int64_t)v * gi;
+ cg = (int64_t)q * fi + (int64_t)r * gi;
+ /* Verify that the bottom 30 bits of the result are zero, and then throw them away. */
+ VERIFY_CHECK(((int32_t)cf & M30) == 0); cf >>= 30;
+ VERIFY_CHECK(((int32_t)cg & M30) == 0); cg >>= 30;
+ /* Now iteratively compute limb i=1..8 of t*[f,g], and store them in output limb i-1 (shifting
+ * down by 30 bits). */
+ for (i = 1; i < 9; ++i) {
+ fi = f->v[i];
+ gi = g->v[i];
+ cf += (int64_t)u * fi + (int64_t)v * gi;
+ cg += (int64_t)q * fi + (int64_t)r * gi;
+ f->v[i - 1] = (int32_t)cf & M30; cf >>= 30;
+ g->v[i - 1] = (int32_t)cg & M30; cg >>= 30;
+ }
+ /* What remains is limb 9 of t*[f,g]; store it as output limb 8. */
+ f->v[8] = (int32_t)cf;
+ g->v[8] = (int32_t)cg;
+}
+
+/* Compute (t/2^30) * [f, g], where t is a transition matrix for 30 divsteps.
+ *
+ * Version that operates on a variable number of limbs in f and g.
+ *
+ * This implements the update_fg function from the explanation in modinv64_impl.h.
+ */
+static void secp256k1_modinv32_update_fg_30_var(int len, secp256k1_modinv32_signed30 *f, secp256k1_modinv32_signed30 *g, const secp256k1_modinv32_trans2x2 *t) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ const int32_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int32_t fi, gi;
+ int64_t cf, cg;
+ int i;
+ VERIFY_CHECK(len > 0);
+ /* Start computing t*[f,g]. */
+ fi = f->v[0];
+ gi = g->v[0];
+ cf = (int64_t)u * fi + (int64_t)v * gi;
+ cg = (int64_t)q * fi + (int64_t)r * gi;
+ /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */
+ VERIFY_CHECK(((int32_t)cf & M30) == 0); cf >>= 30;
+ VERIFY_CHECK(((int32_t)cg & M30) == 0); cg >>= 30;
+ /* Now iteratively compute limb i=1..len of t*[f,g], and store them in output limb i-1 (shifting
+ * down by 30 bits). */
+ for (i = 1; i < len; ++i) {
+ fi = f->v[i];
+ gi = g->v[i];
+ cf += (int64_t)u * fi + (int64_t)v * gi;
+ cg += (int64_t)q * fi + (int64_t)r * gi;
+ f->v[i - 1] = (int32_t)cf & M30; cf >>= 30;
+ g->v[i - 1] = (int32_t)cg & M30; cg >>= 30;
+ }
+ /* What remains is limb (len) of t*[f,g]; store it as output limb (len-1). */
+ f->v[len - 1] = (int32_t)cf;
+ g->v[len - 1] = (int32_t)cg;
+}
+
+/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (constant time in x). */
+static void secp256k1_modinv32(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) {
+ /* Start with d=0, e=1, f=modulus, g=x, zeta=-1. */
+ secp256k1_modinv32_signed30 d = {{0}};
+ secp256k1_modinv32_signed30 e = {{1}};
+ secp256k1_modinv32_signed30 f = modinfo->modulus;
+ secp256k1_modinv32_signed30 g = *x;
+ int i;
+ int32_t zeta = -1; /* zeta = -(delta+1/2); delta is initially 1/2. */
+
+ /* Do 20 iterations of 30 divsteps each = 600 divsteps. 590 suffices for 256-bit inputs. */
+ for (i = 0; i < 20; ++i) {
+ /* Compute transition matrix and new zeta after 30 divsteps. */
+ secp256k1_modinv32_trans2x2 t;
+ zeta = secp256k1_modinv32_divsteps_30(zeta, f.v[0], g.v[0], &t);
+ /* Update d,e using that transition matrix. */
+ secp256k1_modinv32_update_de_30(&d, &e, &t, modinfo);
+ /* Update f,g using that transition matrix. */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, 1) < 0); /* g < modulus */
+
+ secp256k1_modinv32_update_fg_30(&f, &g, &t);
+
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, 1) < 0); /* g < modulus */
+ }
+
+ /* At this point sufficient iterations have been performed that g must have reached 0
+ * and (if g was not originally 0) f must now equal +/- GCD of the initial f, g
+ * values i.e. +/- 1, and d now contains +/- the modular inverse. */
+
+ /* g == 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &SECP256K1_SIGNED30_ONE, 0) == 0);
+ /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &SECP256K1_SIGNED30_ONE, -1) == 0 ||
+ secp256k1_modinv32_mul_cmp_30(&f, 9, &SECP256K1_SIGNED30_ONE, 1) == 0 ||
+ (secp256k1_modinv32_mul_cmp_30(x, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 &&
+ secp256k1_modinv32_mul_cmp_30(&d, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 &&
+ secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) == 0));
+
+ /* Optionally negate d, normalize to [0,modulus), and return it. */
+ secp256k1_modinv32_normalize_30(&d, f.v[8], modinfo);
+ *x = d;
+}
+
+/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (variable time). */
+static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) {
+ /* Start with d=0, e=1, f=modulus, g=x, eta=-1. */
+ secp256k1_modinv32_signed30 d = {{0, 0, 0, 0, 0, 0, 0, 0, 0}};
+ secp256k1_modinv32_signed30 e = {{1, 0, 0, 0, 0, 0, 0, 0, 0}};
+ secp256k1_modinv32_signed30 f = modinfo->modulus;
+ secp256k1_modinv32_signed30 g = *x;
+#ifdef VERIFY
+ int i = 0;
+#endif
+ int j, len = 9;
+ int32_t eta = -1; /* eta = -delta; delta is initially 1 (faster for the variable-time code) */
+ int32_t cond, fn, gn;
+
+ /* Do iterations of 30 divsteps each until g=0. */
+ while (1) {
+ /* Compute transition matrix and new eta after 30 divsteps. */
+ secp256k1_modinv32_trans2x2 t;
+ eta = secp256k1_modinv32_divsteps_30_var(eta, f.v[0], g.v[0], &t);
+ /* Update d,e using that transition matrix. */
+ secp256k1_modinv32_update_de_30(&d, &e, &t, modinfo);
+ /* Update f,g using that transition matrix. */
+
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+
+ secp256k1_modinv32_update_fg_30_var(len, &f, &g, &t);
+ /* If the bottom limb of g is 0, there is a chance g=0. */
+ if (g.v[0] == 0) {
+ cond = 0;
+ /* Check if all other limbs are also 0. */
+ for (j = 1; j < len; ++j) {
+ cond |= g.v[j];
+ }
+ /* If so, we're done. */
+ if (cond == 0) break;
+ }
+
+ /* Determine if len>1 and limb (len-1) of both f and g is 0 or -1. */
+ fn = f.v[len - 1];
+ gn = g.v[len - 1];
+ cond = ((int32_t)len - 2) >> 31;
+ cond |= fn ^ (fn >> 31);
+ cond |= gn ^ (gn >> 31);
+ /* If so, reduce length, propagating the sign of f and g's top limb into the one below. */
+ if (cond == 0) {
+ f.v[len - 2] |= (uint32_t)fn << 30;
+ g.v[len - 2] |= (uint32_t)gn << 30;
+ --len;
+ }
+
+ VERIFY_CHECK(++i < 25); /* We should never need more than 25*30 = 750 divsteps */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+ }
+
+ /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of
+ * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */
+
+ /* g == 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &SECP256K1_SIGNED30_ONE, 0) == 0);
+ /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, -1) == 0 ||
+ secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, 1) == 0 ||
+ (secp256k1_modinv32_mul_cmp_30(x, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 &&
+ secp256k1_modinv32_mul_cmp_30(&d, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 &&
+ secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) == 0));
+
+ /* Optionally negate d, normalize to [0,modulus), and return it. */
+ secp256k1_modinv32_normalize_30(&d, f.v[len - 1], modinfo);
+ *x = d;
+}
+
+/* Do up to 50 iterations of 30 posdivsteps (up to 1500 steps; more is extremely rare) each until f=1.
+ * In VERIFY mode use a lower number of iterations (750, close to the median 756), so failure actually occurs. */
+#ifdef VERIFY
+#define JACOBI32_ITERATIONS 25
+#else
+#define JACOBI32_ITERATIONS 50
+#endif
+
+/* Compute the Jacobi symbol of x modulo modinfo->modulus (variable time). gcd(x,modulus) must be 1. */
+static int secp256k1_jacobi32_maybe_var(const secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) {
+ /* Start with f=modulus, g=x, eta=-1. */
+ secp256k1_modinv32_signed30 f = modinfo->modulus;
+ secp256k1_modinv32_signed30 g = *x;
+ int j, len = 9;
+ int32_t eta = -1; /* eta = -delta; delta is initially 1 */
+ int32_t cond, fn, gn;
+ int jac = 0;
+ int count;
+
+ /* The input limbs must all be non-negative. */
+ VERIFY_CHECK(g.v[0] >= 0 && g.v[1] >= 0 && g.v[2] >= 0 && g.v[3] >= 0 && g.v[4] >= 0 && g.v[5] >= 0 && g.v[6] >= 0 && g.v[7] >= 0 && g.v[8] >= 0);
+
+ /* If x > 0, then if the loop below converges, it converges to f=g=gcd(x,modulus). Since we
+ * require that gcd(x,modulus)=1 and modulus>=3, x cannot be 0. Thus, we must reach f=1 (or
+ * time out). */
+ VERIFY_CHECK((g.v[0] | g.v[1] | g.v[2] | g.v[3] | g.v[4] | g.v[5] | g.v[6] | g.v[7] | g.v[8]) != 0);
+
+ for (count = 0; count < JACOBI32_ITERATIONS; ++count) {
+ /* Compute transition matrix and new eta after 30 posdivsteps. */
+ secp256k1_modinv32_trans2x2 t;
+ eta = secp256k1_modinv32_posdivsteps_30_var(eta, f.v[0] | ((uint32_t)f.v[1] << 30), g.v[0] | ((uint32_t)g.v[1] << 30), &t, &jac);
+ /* Update f,g using that transition matrix. */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+
+ secp256k1_modinv32_update_fg_30_var(len, &f, &g, &t);
+ /* If the bottom limb of f is 1, there is a chance that f=1. */
+ if (f.v[0] == 1) {
+ cond = 0;
+ /* Check if the other limbs are also 0. */
+ for (j = 1; j < len; ++j) {
+ cond |= f.v[j];
+ }
+ /* If so, we're done. If f=1, the Jacobi symbol (g | f)=1. */
+ if (cond == 0) return 1 - 2*(jac & 1);
+ }
+
+ /* Determine if len>1 and limb (len-1) of both f and g is 0. */
+ fn = f.v[len - 1];
+ gn = g.v[len - 1];
+ cond = ((int32_t)len - 2) >> 31;
+ cond |= fn;
+ cond |= gn;
+ /* If so, reduce length. */
+ if (cond == 0) --len;
+
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+ }
+
+ /* The loop failed to converge to f=g after 1500 iterations. Return 0, indicating unknown result. */
+ return 0;
+}
+
+#endif /* SECP256K1_MODINV32_IMPL_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv64.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv64.h
new file mode 100644
index 00000000..f4208e6c
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv64.h
@@ -0,0 +1,47 @@
+/***********************************************************************
+ * Copyright (c) 2020 Peter Dettman *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODINV64_H
+#define SECP256K1_MODINV64_H
+
+#include "util.h"
+
+#ifndef SECP256K1_WIDEMUL_INT128
+#error "modinv64 requires 128-bit wide multiplication support"
+#endif
+
+/* A signed 62-bit limb representation of integers.
+ *
+ * Its value is sum(v[i] * 2^(62*i), i=0..4). */
+typedef struct {
+ int64_t v[5];
+} secp256k1_modinv64_signed62;
+
+typedef struct {
+ /* The modulus in signed62 notation, must be odd and in [3, 2^256]. */
+ secp256k1_modinv64_signed62 modulus;
+
+ /* modulus^{-1} mod 2^62 */
+ uint64_t modulus_inv62;
+} secp256k1_modinv64_modinfo;
+
+/* Replace x with its modular inverse mod modinfo->modulus. x must be in range [0, modulus).
+ * If x is zero, the result will be zero as well. If not, the inverse must exist (i.e., the gcd of
+ * x and modulus must be 1). These rules are automatically satisfied if the modulus is prime.
+ *
+ * On output, all of x's limbs will be in [0, 2^62).
+ */
+static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo);
+
+/* Same as secp256k1_modinv64_var, but constant time in x (not in the modulus). */
+static void secp256k1_modinv64(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo);
+
+/* Compute the Jacobi symbol for (x | modinfo->modulus). x must be coprime with modulus (and thus
+ * cannot be 0, as modulus >= 3). All limbs of x must be non-negative. Returns 0 if the result
+ * cannot be computed. */
+static int secp256k1_jacobi64_maybe_var(const secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo);
+
+#endif /* SECP256K1_MODINV64_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv64_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv64_impl.h
new file mode 100644
index 00000000..548787be
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modinv64_impl.h
@@ -0,0 +1,780 @@
+/***********************************************************************
+ * Copyright (c) 2020 Peter Dettman *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODINV64_IMPL_H
+#define SECP256K1_MODINV64_IMPL_H
+
+#include "int128.h"
+#include "modinv64.h"
+
+/* This file implements modular inversion based on the paper "Fast constant-time gcd computation and
+ * modular inversion" by Daniel J. Bernstein and Bo-Yin Yang.
+ *
+ * For an explanation of the algorithm, see doc/safegcd_implementation.md. This file contains an
+ * implementation for N=62, using 62-bit signed limbs represented as int64_t.
+ */
+
+/* Data type for transition matrices (see section 3 of explanation).
+ *
+ * t = [ u v ]
+ * [ q r ]
+ */
+typedef struct {
+ int64_t u, v, q, r;
+} secp256k1_modinv64_trans2x2;
+
+#ifdef VERIFY
+/* Helper function to compute the absolute value of an int64_t.
+ * (we don't use abs/labs/llabs as it depends on the int sizes). */
+static int64_t secp256k1_modinv64_abs(int64_t v) {
+ VERIFY_CHECK(v > INT64_MIN);
+ if (v < 0) return -v;
+ return v;
+}
+
+static const secp256k1_modinv64_signed62 SECP256K1_SIGNED62_ONE = {{1}};
+
+/* Compute a*factor and put it in r. All but the top limb in r will be in range [0,2^62). */
+static void secp256k1_modinv64_mul_62(secp256k1_modinv64_signed62 *r, const secp256k1_modinv64_signed62 *a, int alen, int64_t factor) {
+ const uint64_t M62 = UINT64_MAX >> 2;
+ secp256k1_int128 c, d;
+ int i;
+ secp256k1_i128_from_i64(&c, 0);
+ for (i = 0; i < 4; ++i) {
+ if (i < alen) secp256k1_i128_accum_mul(&c, a->v[i], factor);
+ r->v[i] = secp256k1_i128_to_u64(&c) & M62; secp256k1_i128_rshift(&c, 62);
+ }
+ if (4 < alen) secp256k1_i128_accum_mul(&c, a->v[4], factor);
+ secp256k1_i128_from_i64(&d, secp256k1_i128_to_i64(&c));
+ VERIFY_CHECK(secp256k1_i128_eq_var(&c, &d));
+ r->v[4] = secp256k1_i128_to_i64(&c);
+}
+
+/* Return -1 for ab*factor. A has alen limbs; b has 5. */
+static int secp256k1_modinv64_mul_cmp_62(const secp256k1_modinv64_signed62 *a, int alen, const secp256k1_modinv64_signed62 *b, int64_t factor) {
+ int i;
+ secp256k1_modinv64_signed62 am, bm;
+ secp256k1_modinv64_mul_62(&am, a, alen, 1); /* Normalize all but the top limb of a. */
+ secp256k1_modinv64_mul_62(&bm, b, 5, factor);
+ for (i = 0; i < 4; ++i) {
+ /* Verify that all but the top limb of a and b are normalized. */
+ VERIFY_CHECK(am.v[i] >> 62 == 0);
+ VERIFY_CHECK(bm.v[i] >> 62 == 0);
+ }
+ for (i = 4; i >= 0; --i) {
+ if (am.v[i] < bm.v[i]) return -1;
+ if (am.v[i] > bm.v[i]) return 1;
+ }
+ return 0;
+}
+
+/* Check if the determinant of t is equal to 1 << n. If abs, check if |det t| == 1 << n. */
+static int secp256k1_modinv64_det_check_pow2(const secp256k1_modinv64_trans2x2 *t, unsigned int n, int abs) {
+ secp256k1_int128 a;
+ secp256k1_i128_det(&a, t->u, t->v, t->q, t->r);
+ if (secp256k1_i128_check_pow2(&a, n, 1)) return 1;
+ if (abs && secp256k1_i128_check_pow2(&a, n, -1)) return 1;
+ return 0;
+}
+#endif
+
+/* Take as input a signed62 number in range (-2*modulus,modulus), and add a multiple of the modulus
+ * to it to bring it to range [0,modulus). If sign < 0, the input will also be negated in the
+ * process. The input must have limbs in range (-2^62,2^62). The output will have limbs in range
+ * [0,2^62). */
+static void secp256k1_modinv64_normalize_62(secp256k1_modinv64_signed62 *r, int64_t sign, const secp256k1_modinv64_modinfo *modinfo) {
+ const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
+ int64_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4];
+ volatile int64_t cond_add, cond_negate;
+
+#ifdef VERIFY
+ /* Verify that all limbs are in range (-2^62,2^62). */
+ int i;
+ for (i = 0; i < 5; ++i) {
+ VERIFY_CHECK(r->v[i] >= -M62);
+ VERIFY_CHECK(r->v[i] <= M62);
+ }
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, -2) > 0); /* r > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 1) < 0); /* r < modulus */
+#endif
+
+ /* In a first step, add the modulus if the input is negative, and then negate if requested.
+ * This brings r from range (-2*modulus,modulus) to range (-modulus,modulus). As all input
+ * limbs are in range (-2^62,2^62), this cannot overflow an int64_t. Note that the right
+ * shifts below are signed sign-extending shifts (see assumptions.h for tests that that is
+ * indeed the behavior of the right shift operator). */
+ cond_add = r4 >> 63;
+ r0 += modinfo->modulus.v[0] & cond_add;
+ r1 += modinfo->modulus.v[1] & cond_add;
+ r2 += modinfo->modulus.v[2] & cond_add;
+ r3 += modinfo->modulus.v[3] & cond_add;
+ r4 += modinfo->modulus.v[4] & cond_add;
+ cond_negate = sign >> 63;
+ r0 = (r0 ^ cond_negate) - cond_negate;
+ r1 = (r1 ^ cond_negate) - cond_negate;
+ r2 = (r2 ^ cond_negate) - cond_negate;
+ r3 = (r3 ^ cond_negate) - cond_negate;
+ r4 = (r4 ^ cond_negate) - cond_negate;
+ /* Propagate the top bits, to bring limbs back to range (-2^62,2^62). */
+ r1 += r0 >> 62; r0 &= M62;
+ r2 += r1 >> 62; r1 &= M62;
+ r3 += r2 >> 62; r2 &= M62;
+ r4 += r3 >> 62; r3 &= M62;
+
+ /* In a second step add the modulus again if the result is still negative, bringing
+ * r to range [0,modulus). */
+ cond_add = r4 >> 63;
+ r0 += modinfo->modulus.v[0] & cond_add;
+ r1 += modinfo->modulus.v[1] & cond_add;
+ r2 += modinfo->modulus.v[2] & cond_add;
+ r3 += modinfo->modulus.v[3] & cond_add;
+ r4 += modinfo->modulus.v[4] & cond_add;
+ /* And propagate again. */
+ r1 += r0 >> 62; r0 &= M62;
+ r2 += r1 >> 62; r1 &= M62;
+ r3 += r2 >> 62; r2 &= M62;
+ r4 += r3 >> 62; r3 &= M62;
+
+ r->v[0] = r0;
+ r->v[1] = r1;
+ r->v[2] = r2;
+ r->v[3] = r3;
+ r->v[4] = r4;
+
+ VERIFY_CHECK(r0 >> 62 == 0);
+ VERIFY_CHECK(r1 >> 62 == 0);
+ VERIFY_CHECK(r2 >> 62 == 0);
+ VERIFY_CHECK(r3 >> 62 == 0);
+ VERIFY_CHECK(r4 >> 62 == 0);
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 0) >= 0); /* r >= 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 1) < 0); /* r < modulus */
+}
+
+/* Compute the transition matrix and eta for 59 divsteps (where zeta=-(delta+1/2)).
+ * Note that the transformation matrix is scaled by 2^62 and not 2^59.
+ *
+ * Input: zeta: initial zeta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Return: final zeta
+ *
+ * Implements the divsteps_n_matrix function from the explanation.
+ */
+static int64_t secp256k1_modinv64_divsteps_59(int64_t zeta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t) {
+ /* u,v,q,r are the elements of the transformation matrix being built up,
+ * starting with the identity matrix times 8 (because the caller expects
+ * a result scaled by 2^62). Semantically they are signed integers
+ * in range [-2^62,2^62], but here represented as unsigned mod 2^64. This
+ * permits left shifting (which is UB for negative numbers). The range
+ * being inside [-2^63,2^63) means that casting to signed works correctly.
+ */
+ uint64_t u = 8, v = 0, q = 0, r = 8;
+ volatile uint64_t c1, c2;
+ uint64_t mask1, mask2, f = f0, g = g0, x, y, z;
+ int i;
+
+ for (i = 3; i < 62; ++i) {
+ VERIFY_CHECK((f & 1) == 1); /* f must always be odd */
+ VERIFY_CHECK((u * f0 + v * g0) == f << i);
+ VERIFY_CHECK((q * f0 + r * g0) == g << i);
+ /* Compute conditional masks for (zeta < 0) and for (g & 1). */
+ c1 = zeta >> 63;
+ mask1 = c1;
+ c2 = g & 1;
+ mask2 = -c2;
+ /* Compute x,y,z, conditionally negated versions of f,u,v. */
+ x = (f ^ mask1) - mask1;
+ y = (u ^ mask1) - mask1;
+ z = (v ^ mask1) - mask1;
+ /* Conditionally add x,y,z to g,q,r. */
+ g += x & mask2;
+ q += y & mask2;
+ r += z & mask2;
+ /* In what follows, c1 is a condition mask for (zeta < 0) and (g & 1). */
+ mask1 &= mask2;
+ /* Conditionally change zeta into -zeta-2 or zeta-1. */
+ zeta = (zeta ^ mask1) - 1;
+ /* Conditionally add g,q,r to f,u,v. */
+ f += g & mask1;
+ u += q & mask1;
+ v += r & mask1;
+ /* Shifts */
+ g >>= 1;
+ u <<= 1;
+ v <<= 1;
+ /* Bounds on zeta that follow from the bounds on iteration count (max 10*59 divsteps). */
+ VERIFY_CHECK(zeta >= -591 && zeta <= 591);
+ }
+ /* Return data in t and return value. */
+ t->u = (int64_t)u;
+ t->v = (int64_t)v;
+ t->q = (int64_t)q;
+ t->r = (int64_t)r;
+
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2, the
+ * aggregate of 59 of them will have determinant 2^59. Multiplying with the initial
+ * 8*identity (which has determinant 2^6) means the overall outputs has determinant
+ * 2^65. */
+ VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 65, 0));
+
+ return zeta;
+}
+
+/* Compute the transition matrix and eta for 62 divsteps (variable time, eta=-delta).
+ *
+ * Input: eta: initial eta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Return: final eta
+ *
+ * Implements the divsteps_n_matrix_var function from the explanation.
+ */
+static int64_t secp256k1_modinv64_divsteps_62_var(int64_t eta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t) {
+ /* Transformation matrix; see comments in secp256k1_modinv64_divsteps_62. */
+ uint64_t u = 1, v = 0, q = 0, r = 1;
+ uint64_t f = f0, g = g0, m;
+ uint32_t w;
+ int i = 62, limit, zeros;
+
+ for (;;) {
+ /* Use a sentinel bit to count zeros only up to i. */
+ zeros = secp256k1_ctz64_var(g | (UINT64_MAX << i));
+ /* Perform zeros divsteps at once; they all just divide g by two. */
+ g >>= zeros;
+ u <<= zeros;
+ v <<= zeros;
+ eta -= zeros;
+ i -= zeros;
+ /* We're done once we've done 62 divsteps. */
+ if (i == 0) break;
+ VERIFY_CHECK((f & 1) == 1);
+ VERIFY_CHECK((g & 1) == 1);
+ VERIFY_CHECK((u * f0 + v * g0) == f << (62 - i));
+ VERIFY_CHECK((q * f0 + r * g0) == g << (62 - i));
+ /* Bounds on eta that follow from the bounds on iteration count (max 12*62 divsteps). */
+ VERIFY_CHECK(eta >= -745 && eta <= 745);
+ /* If eta is negative, negate it and replace f,g with g,-f. */
+ if (eta < 0) {
+ uint64_t tmp;
+ eta = -eta;
+ tmp = f; f = g; g = -tmp;
+ tmp = u; u = q; q = -tmp;
+ tmp = v; v = r; r = -tmp;
+ /* Use a formula to cancel out up to 6 bits of g. Also, no more than i can be cancelled
+ * out (as we'd be done before that point), and no more than eta+1 can be done as its
+ * sign will flip again once that happens. */
+ limit = ((int)eta + 1) > i ? i : ((int)eta + 1);
+ VERIFY_CHECK(limit > 0 && limit <= 62);
+ /* m is a mask for the bottom min(limit, 6) bits. */
+ m = (UINT64_MAX >> (64 - limit)) & 63U;
+ /* Find what multiple of f must be added to g to cancel its bottom min(limit, 6)
+ * bits. */
+ w = (f * g * (f * f - 2)) & m;
+ } else {
+ /* In this branch, use a simpler formula that only lets us cancel up to 4 bits of g, as
+ * eta tends to be smaller here. */
+ limit = ((int)eta + 1) > i ? i : ((int)eta + 1);
+ VERIFY_CHECK(limit > 0 && limit <= 62);
+ /* m is a mask for the bottom min(limit, 4) bits. */
+ m = (UINT64_MAX >> (64 - limit)) & 15U;
+ /* Find what multiple of f must be added to g to cancel its bottom min(limit, 4)
+ * bits. */
+ w = f + (((f + 1) & 4) << 1);
+ w = (-w * g) & m;
+ }
+ g += f * w;
+ q += u * w;
+ r += v * w;
+ VERIFY_CHECK((g & m) == 0);
+ }
+ /* Return data in t and return value. */
+ t->u = (int64_t)u;
+ t->v = (int64_t)v;
+ t->q = (int64_t)q;
+ t->r = (int64_t)r;
+
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2, the
+ * aggregate of 62 of them will have determinant 2^62. */
+ VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 62, 0));
+
+ return eta;
+}
+
+/* Compute the transition matrix and eta for 62 posdivsteps (variable time, eta=-delta), and keeps track
+ * of the Jacobi symbol along the way. f0 and g0 must be f and g mod 2^64 rather than 2^62, because
+ * Jacobi tracking requires knowing (f mod 8) rather than just (f mod 2).
+ *
+ * Input: eta: initial eta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Input/Output: (*jacp & 1) is bitflipped if and only if the Jacobi symbol of (f | g) changes sign
+ * by applying the returned transformation matrix to it. The other bits of *jacp may
+ * change, but are meaningless.
+ * Return: final eta
+ */
+static int64_t secp256k1_modinv64_posdivsteps_62_var(int64_t eta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t, int *jacp) {
+ /* Transformation matrix; see comments in secp256k1_modinv64_divsteps_62. */
+ uint64_t u = 1, v = 0, q = 0, r = 1;
+ uint64_t f = f0, g = g0, m;
+ uint32_t w;
+ int i = 62, limit, zeros;
+ int jac = *jacp;
+
+ for (;;) {
+ /* Use a sentinel bit to count zeros only up to i. */
+ zeros = secp256k1_ctz64_var(g | (UINT64_MAX << i));
+ /* Perform zeros divsteps at once; they all just divide g by two. */
+ g >>= zeros;
+ u <<= zeros;
+ v <<= zeros;
+ eta -= zeros;
+ i -= zeros;
+ /* Update the bottom bit of jac: when dividing g by an odd power of 2,
+ * if (f mod 8) is 3 or 5, the Jacobi symbol changes sign. */
+ jac ^= (zeros & ((f >> 1) ^ (f >> 2)));
+ /* We're done once we've done 62 posdivsteps. */
+ if (i == 0) break;
+ VERIFY_CHECK((f & 1) == 1);
+ VERIFY_CHECK((g & 1) == 1);
+ VERIFY_CHECK((u * f0 + v * g0) == f << (62 - i));
+ VERIFY_CHECK((q * f0 + r * g0) == g << (62 - i));
+ /* If eta is negative, negate it and replace f,g with g,f. */
+ if (eta < 0) {
+ uint64_t tmp;
+ eta = -eta;
+ tmp = f; f = g; g = tmp;
+ tmp = u; u = q; q = tmp;
+ tmp = v; v = r; r = tmp;
+ /* Update bottom bit of jac: when swapping f and g, the Jacobi symbol changes sign
+ * if both f and g are 3 mod 4. */
+ jac ^= ((f & g) >> 1);
+ /* Use a formula to cancel out up to 6 bits of g. Also, no more than i can be cancelled
+ * out (as we'd be done before that point), and no more than eta+1 can be done as its
+ * sign will flip again once that happens. */
+ limit = ((int)eta + 1) > i ? i : ((int)eta + 1);
+ VERIFY_CHECK(limit > 0 && limit <= 62);
+ /* m is a mask for the bottom min(limit, 6) bits. */
+ m = (UINT64_MAX >> (64 - limit)) & 63U;
+ /* Find what multiple of f must be added to g to cancel its bottom min(limit, 6)
+ * bits. */
+ w = (f * g * (f * f - 2)) & m;
+ } else {
+ /* In this branch, use a simpler formula that only lets us cancel up to 4 bits of g, as
+ * eta tends to be smaller here. */
+ limit = ((int)eta + 1) > i ? i : ((int)eta + 1);
+ VERIFY_CHECK(limit > 0 && limit <= 62);
+ /* m is a mask for the bottom min(limit, 4) bits. */
+ m = (UINT64_MAX >> (64 - limit)) & 15U;
+ /* Find what multiple of f must be added to g to cancel its bottom min(limit, 4)
+ * bits. */
+ w = f + (((f + 1) & 4) << 1);
+ w = (-w * g) & m;
+ }
+ g += f * w;
+ q += u * w;
+ r += v * w;
+ VERIFY_CHECK((g & m) == 0);
+ }
+ /* Return data in t and return value. */
+ t->u = (int64_t)u;
+ t->v = (int64_t)v;
+ t->q = (int64_t)q;
+ t->r = (int64_t)r;
+
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2 or -2,
+ * the aggregate of 62 of them will have determinant 2^62 or -2^62. */
+ VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 62, 1));
+
+ *jacp = jac;
+ return eta;
+}
+
+/* Compute (t/2^62) * [d, e] mod modulus, where t is a transition matrix scaled by 2^62.
+ *
+ * On input and output, d and e are in range (-2*modulus,modulus). All output limbs will be in range
+ * (-2^62,2^62).
+ *
+ * This implements the update_de function from the explanation.
+ */
+static void secp256k1_modinv64_update_de_62(secp256k1_modinv64_signed62 *d, secp256k1_modinv64_signed62 *e, const secp256k1_modinv64_trans2x2 *t, const secp256k1_modinv64_modinfo* modinfo) {
+ const uint64_t M62 = UINT64_MAX >> 2;
+ const int64_t d0 = d->v[0], d1 = d->v[1], d2 = d->v[2], d3 = d->v[3], d4 = d->v[4];
+ const int64_t e0 = e->v[0], e1 = e->v[1], e2 = e->v[2], e3 = e->v[3], e4 = e->v[4];
+ const int64_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int64_t md, me, sd, se;
+ secp256k1_int128 cd, ce;
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */
+ VERIFY_CHECK(secp256k1_modinv64_abs(u) <= (((int64_t)1 << 62) - secp256k1_modinv64_abs(v))); /* |u|+|v| <= 2^62 */
+ VERIFY_CHECK(secp256k1_modinv64_abs(q) <= (((int64_t)1 << 62) - secp256k1_modinv64_abs(r))); /* |q|+|r| <= 2^62 */
+
+ /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */
+ sd = d4 >> 63;
+ se = e4 >> 63;
+ md = (u & sd) + (v & se);
+ me = (q & sd) + (r & se);
+ /* Begin computing t*[d,e]. */
+ secp256k1_i128_mul(&cd, u, d0);
+ secp256k1_i128_accum_mul(&cd, v, e0);
+ secp256k1_i128_mul(&ce, q, d0);
+ secp256k1_i128_accum_mul(&ce, r, e0);
+ /* Correct md,me so that t*[d,e]+modulus*[md,me] has 62 zero bottom bits. */
+ md -= (modinfo->modulus_inv62 * secp256k1_i128_to_u64(&cd) + md) & M62;
+ me -= (modinfo->modulus_inv62 * secp256k1_i128_to_u64(&ce) + me) & M62;
+ /* Update the beginning of computation for t*[d,e]+modulus*[md,me] now md,me are known. */
+ secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[0], md);
+ secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[0], me);
+ /* Verify that the low 62 bits of the computation are indeed zero, and then throw them away. */
+ VERIFY_CHECK((secp256k1_i128_to_u64(&cd) & M62) == 0); secp256k1_i128_rshift(&cd, 62);
+ VERIFY_CHECK((secp256k1_i128_to_u64(&ce) & M62) == 0); secp256k1_i128_rshift(&ce, 62);
+ /* Compute limb 1 of t*[d,e]+modulus*[md,me], and store it as output limb 0 (= down shift). */
+ secp256k1_i128_accum_mul(&cd, u, d1);
+ secp256k1_i128_accum_mul(&cd, v, e1);
+ secp256k1_i128_accum_mul(&ce, q, d1);
+ secp256k1_i128_accum_mul(&ce, r, e1);
+ if (modinfo->modulus.v[1]) { /* Optimize for the case where limb of modulus is zero. */
+ secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[1], md);
+ secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[1], me);
+ }
+ d->v[0] = secp256k1_i128_to_u64(&cd) & M62; secp256k1_i128_rshift(&cd, 62);
+ e->v[0] = secp256k1_i128_to_u64(&ce) & M62; secp256k1_i128_rshift(&ce, 62);
+ /* Compute limb 2 of t*[d,e]+modulus*[md,me], and store it as output limb 1. */
+ secp256k1_i128_accum_mul(&cd, u, d2);
+ secp256k1_i128_accum_mul(&cd, v, e2);
+ secp256k1_i128_accum_mul(&ce, q, d2);
+ secp256k1_i128_accum_mul(&ce, r, e2);
+ if (modinfo->modulus.v[2]) { /* Optimize for the case where limb of modulus is zero. */
+ secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[2], md);
+ secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[2], me);
+ }
+ d->v[1] = secp256k1_i128_to_u64(&cd) & M62; secp256k1_i128_rshift(&cd, 62);
+ e->v[1] = secp256k1_i128_to_u64(&ce) & M62; secp256k1_i128_rshift(&ce, 62);
+ /* Compute limb 3 of t*[d,e]+modulus*[md,me], and store it as output limb 2. */
+ secp256k1_i128_accum_mul(&cd, u, d3);
+ secp256k1_i128_accum_mul(&cd, v, e3);
+ secp256k1_i128_accum_mul(&ce, q, d3);
+ secp256k1_i128_accum_mul(&ce, r, e3);
+ if (modinfo->modulus.v[3]) { /* Optimize for the case where limb of modulus is zero. */
+ secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[3], md);
+ secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[3], me);
+ }
+ d->v[2] = secp256k1_i128_to_u64(&cd) & M62; secp256k1_i128_rshift(&cd, 62);
+ e->v[2] = secp256k1_i128_to_u64(&ce) & M62; secp256k1_i128_rshift(&ce, 62);
+ /* Compute limb 4 of t*[d,e]+modulus*[md,me], and store it as output limb 3. */
+ secp256k1_i128_accum_mul(&cd, u, d4);
+ secp256k1_i128_accum_mul(&cd, v, e4);
+ secp256k1_i128_accum_mul(&ce, q, d4);
+ secp256k1_i128_accum_mul(&ce, r, e4);
+ secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[4], md);
+ secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[4], me);
+ d->v[3] = secp256k1_i128_to_u64(&cd) & M62; secp256k1_i128_rshift(&cd, 62);
+ e->v[3] = secp256k1_i128_to_u64(&ce) & M62; secp256k1_i128_rshift(&ce, 62);
+ /* What remains is limb 5 of t*[d,e]+modulus*[md,me]; store it as output limb 4. */
+ d->v[4] = secp256k1_i128_to_i64(&cd);
+ e->v[4] = secp256k1_i128_to_i64(&ce);
+
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */
+}
+
+/* Compute (t/2^62) * [f, g], where t is a transition matrix scaled by 2^62.
+ *
+ * This implements the update_fg function from the explanation.
+ */
+static void secp256k1_modinv64_update_fg_62(secp256k1_modinv64_signed62 *f, secp256k1_modinv64_signed62 *g, const secp256k1_modinv64_trans2x2 *t) {
+ const uint64_t M62 = UINT64_MAX >> 2;
+ const int64_t f0 = f->v[0], f1 = f->v[1], f2 = f->v[2], f3 = f->v[3], f4 = f->v[4];
+ const int64_t g0 = g->v[0], g1 = g->v[1], g2 = g->v[2], g3 = g->v[3], g4 = g->v[4];
+ const int64_t u = t->u, v = t->v, q = t->q, r = t->r;
+ secp256k1_int128 cf, cg;
+ /* Start computing t*[f,g]. */
+ secp256k1_i128_mul(&cf, u, f0);
+ secp256k1_i128_accum_mul(&cf, v, g0);
+ secp256k1_i128_mul(&cg, q, f0);
+ secp256k1_i128_accum_mul(&cg, r, g0);
+ /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */
+ VERIFY_CHECK((secp256k1_i128_to_u64(&cf) & M62) == 0); secp256k1_i128_rshift(&cf, 62);
+ VERIFY_CHECK((secp256k1_i128_to_u64(&cg) & M62) == 0); secp256k1_i128_rshift(&cg, 62);
+ /* Compute limb 1 of t*[f,g], and store it as output limb 0 (= down shift). */
+ secp256k1_i128_accum_mul(&cf, u, f1);
+ secp256k1_i128_accum_mul(&cf, v, g1);
+ secp256k1_i128_accum_mul(&cg, q, f1);
+ secp256k1_i128_accum_mul(&cg, r, g1);
+ f->v[0] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62);
+ g->v[0] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62);
+ /* Compute limb 2 of t*[f,g], and store it as output limb 1. */
+ secp256k1_i128_accum_mul(&cf, u, f2);
+ secp256k1_i128_accum_mul(&cf, v, g2);
+ secp256k1_i128_accum_mul(&cg, q, f2);
+ secp256k1_i128_accum_mul(&cg, r, g2);
+ f->v[1] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62);
+ g->v[1] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62);
+ /* Compute limb 3 of t*[f,g], and store it as output limb 2. */
+ secp256k1_i128_accum_mul(&cf, u, f3);
+ secp256k1_i128_accum_mul(&cf, v, g3);
+ secp256k1_i128_accum_mul(&cg, q, f3);
+ secp256k1_i128_accum_mul(&cg, r, g3);
+ f->v[2] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62);
+ g->v[2] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62);
+ /* Compute limb 4 of t*[f,g], and store it as output limb 3. */
+ secp256k1_i128_accum_mul(&cf, u, f4);
+ secp256k1_i128_accum_mul(&cf, v, g4);
+ secp256k1_i128_accum_mul(&cg, q, f4);
+ secp256k1_i128_accum_mul(&cg, r, g4);
+ f->v[3] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62);
+ g->v[3] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62);
+ /* What remains is limb 5 of t*[f,g]; store it as output limb 4. */
+ f->v[4] = secp256k1_i128_to_i64(&cf);
+ g->v[4] = secp256k1_i128_to_i64(&cg);
+}
+
+/* Compute (t/2^62) * [f, g], where t is a transition matrix for 62 divsteps.
+ *
+ * Version that operates on a variable number of limbs in f and g.
+ *
+ * This implements the update_fg function from the explanation.
+ */
+static void secp256k1_modinv64_update_fg_62_var(int len, secp256k1_modinv64_signed62 *f, secp256k1_modinv64_signed62 *g, const secp256k1_modinv64_trans2x2 *t) {
+ const uint64_t M62 = UINT64_MAX >> 2;
+ const int64_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int64_t fi, gi;
+ secp256k1_int128 cf, cg;
+ int i;
+ VERIFY_CHECK(len > 0);
+ /* Start computing t*[f,g]. */
+ fi = f->v[0];
+ gi = g->v[0];
+ secp256k1_i128_mul(&cf, u, fi);
+ secp256k1_i128_accum_mul(&cf, v, gi);
+ secp256k1_i128_mul(&cg, q, fi);
+ secp256k1_i128_accum_mul(&cg, r, gi);
+ /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */
+ VERIFY_CHECK((secp256k1_i128_to_u64(&cf) & M62) == 0); secp256k1_i128_rshift(&cf, 62);
+ VERIFY_CHECK((secp256k1_i128_to_u64(&cg) & M62) == 0); secp256k1_i128_rshift(&cg, 62);
+ /* Now iteratively compute limb i=1..len of t*[f,g], and store them in output limb i-1 (shifting
+ * down by 62 bits). */
+ for (i = 1; i < len; ++i) {
+ fi = f->v[i];
+ gi = g->v[i];
+ secp256k1_i128_accum_mul(&cf, u, fi);
+ secp256k1_i128_accum_mul(&cf, v, gi);
+ secp256k1_i128_accum_mul(&cg, q, fi);
+ secp256k1_i128_accum_mul(&cg, r, gi);
+ f->v[i - 1] = secp256k1_i128_to_u64(&cf) & M62; secp256k1_i128_rshift(&cf, 62);
+ g->v[i - 1] = secp256k1_i128_to_u64(&cg) & M62; secp256k1_i128_rshift(&cg, 62);
+ }
+ /* What remains is limb (len) of t*[f,g]; store it as output limb (len-1). */
+ f->v[len - 1] = secp256k1_i128_to_i64(&cf);
+ g->v[len - 1] = secp256k1_i128_to_i64(&cg);
+}
+
+/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (constant time in x). */
+static void secp256k1_modinv64(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) {
+ /* Start with d=0, e=1, f=modulus, g=x, zeta=-1. */
+ secp256k1_modinv64_signed62 d = {{0, 0, 0, 0, 0}};
+ secp256k1_modinv64_signed62 e = {{1, 0, 0, 0, 0}};
+ secp256k1_modinv64_signed62 f = modinfo->modulus;
+ secp256k1_modinv64_signed62 g = *x;
+ int i;
+ int64_t zeta = -1; /* zeta = -(delta+1/2); delta starts at 1/2. */
+
+ /* Do 10 iterations of 59 divsteps each = 590 divsteps. This suffices for 256-bit inputs. */
+ for (i = 0; i < 10; ++i) {
+ /* Compute transition matrix and new zeta after 59 divsteps. */
+ secp256k1_modinv64_trans2x2 t;
+ zeta = secp256k1_modinv64_divsteps_59(zeta, f.v[0], g.v[0], &t);
+ /* Update d,e using that transition matrix. */
+ secp256k1_modinv64_update_de_62(&d, &e, &t, modinfo);
+ /* Update f,g using that transition matrix. */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, 1) < 0); /* g < modulus */
+
+ secp256k1_modinv64_update_fg_62(&f, &g, &t);
+
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, 1) < 0); /* g < modulus */
+ }
+
+ /* At this point sufficient iterations have been performed that g must have reached 0
+ * and (if g was not originally 0) f must now equal +/- GCD of the initial f, g
+ * values i.e. +/- 1, and d now contains +/- the modular inverse. */
+
+ /* g == 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &SECP256K1_SIGNED62_ONE, 0) == 0);
+ /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &SECP256K1_SIGNED62_ONE, -1) == 0 ||
+ secp256k1_modinv64_mul_cmp_62(&f, 5, &SECP256K1_SIGNED62_ONE, 1) == 0 ||
+ (secp256k1_modinv64_mul_cmp_62(x, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 &&
+ secp256k1_modinv64_mul_cmp_62(&d, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 &&
+ secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) == 0));
+
+ /* Optionally negate d, normalize to [0,modulus), and return it. */
+ secp256k1_modinv64_normalize_62(&d, f.v[4], modinfo);
+ *x = d;
+}
+
+/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (variable time). */
+static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) {
+ /* Start with d=0, e=1, f=modulus, g=x, eta=-1. */
+ secp256k1_modinv64_signed62 d = {{0, 0, 0, 0, 0}};
+ secp256k1_modinv64_signed62 e = {{1, 0, 0, 0, 0}};
+ secp256k1_modinv64_signed62 f = modinfo->modulus;
+ secp256k1_modinv64_signed62 g = *x;
+#ifdef VERIFY
+ int i = 0;
+#endif
+ int j, len = 5;
+ int64_t eta = -1; /* eta = -delta; delta is initially 1 */
+ int64_t cond, fn, gn;
+
+ /* Do iterations of 62 divsteps each until g=0. */
+ while (1) {
+ /* Compute transition matrix and new eta after 62 divsteps. */
+ secp256k1_modinv64_trans2x2 t;
+ eta = secp256k1_modinv64_divsteps_62_var(eta, f.v[0], g.v[0], &t);
+ /* Update d,e using that transition matrix. */
+ secp256k1_modinv64_update_de_62(&d, &e, &t, modinfo);
+ /* Update f,g using that transition matrix. */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+
+ secp256k1_modinv64_update_fg_62_var(len, &f, &g, &t);
+ /* If the bottom limb of g is zero, there is a chance that g=0. */
+ if (g.v[0] == 0) {
+ cond = 0;
+ /* Check if the other limbs are also 0. */
+ for (j = 1; j < len; ++j) {
+ cond |= g.v[j];
+ }
+ /* If so, we're done. */
+ if (cond == 0) break;
+ }
+
+ /* Determine if len>1 and limb (len-1) of both f and g is 0 or -1. */
+ fn = f.v[len - 1];
+ gn = g.v[len - 1];
+ cond = ((int64_t)len - 2) >> 63;
+ cond |= fn ^ (fn >> 63);
+ cond |= gn ^ (gn >> 63);
+ /* If so, reduce length, propagating the sign of f and g's top limb into the one below. */
+ if (cond == 0) {
+ f.v[len - 2] |= (uint64_t)fn << 62;
+ g.v[len - 2] |= (uint64_t)gn << 62;
+ --len;
+ }
+
+ VERIFY_CHECK(++i < 12); /* We should never need more than 12*62 = 744 divsteps */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+ }
+
+ /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of
+ * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */
+
+ /* g == 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &SECP256K1_SIGNED62_ONE, 0) == 0);
+ /* |f| == 1, or (x == 0 and d == 0 and f == modulus) */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, -1) == 0 ||
+ secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, 1) == 0 ||
+ (secp256k1_modinv64_mul_cmp_62(x, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 &&
+ secp256k1_modinv64_mul_cmp_62(&d, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 &&
+ secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) == 0));
+
+ /* Optionally negate d, normalize to [0,modulus), and return it. */
+ secp256k1_modinv64_normalize_62(&d, f.v[len - 1], modinfo);
+ *x = d;
+}
+
+/* Do up to 25 iterations of 62 posdivsteps (up to 1550 steps; more is extremely rare) each until f=1.
+ * In VERIFY mode use a lower number of iterations (744, close to the median 756), so failure actually occurs. */
+#ifdef VERIFY
+#define JACOBI64_ITERATIONS 12
+#else
+#define JACOBI64_ITERATIONS 25
+#endif
+
+/* Compute the Jacobi symbol of x modulo modinfo->modulus (variable time). gcd(x,modulus) must be 1. */
+static int secp256k1_jacobi64_maybe_var(const secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) {
+ /* Start with f=modulus, g=x, eta=-1. */
+ secp256k1_modinv64_signed62 f = modinfo->modulus;
+ secp256k1_modinv64_signed62 g = *x;
+ int j, len = 5;
+ int64_t eta = -1; /* eta = -delta; delta is initially 1 */
+ int64_t cond, fn, gn;
+ int jac = 0;
+ int count;
+
+ /* The input limbs must all be non-negative. */
+ VERIFY_CHECK(g.v[0] >= 0 && g.v[1] >= 0 && g.v[2] >= 0 && g.v[3] >= 0 && g.v[4] >= 0);
+
+ /* If x > 0, then if the loop below converges, it converges to f=g=gcd(x,modulus). Since we
+ * require that gcd(x,modulus)=1 and modulus>=3, x cannot be 0. Thus, we must reach f=1 (or
+ * time out). */
+ VERIFY_CHECK((g.v[0] | g.v[1] | g.v[2] | g.v[3] | g.v[4]) != 0);
+
+ for (count = 0; count < JACOBI64_ITERATIONS; ++count) {
+ /* Compute transition matrix and new eta after 62 posdivsteps. */
+ secp256k1_modinv64_trans2x2 t;
+ eta = secp256k1_modinv64_posdivsteps_62_var(eta, f.v[0] | ((uint64_t)f.v[1] << 62), g.v[0] | ((uint64_t)g.v[1] << 62), &t, &jac);
+ /* Update f,g using that transition matrix. */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+
+ secp256k1_modinv64_update_fg_62_var(len, &f, &g, &t);
+ /* If the bottom limb of f is 1, there is a chance that f=1. */
+ if (f.v[0] == 1) {
+ cond = 0;
+ /* Check if the other limbs are also 0. */
+ for (j = 1; j < len; ++j) {
+ cond |= f.v[j];
+ }
+ /* If so, we're done. When f=1, the Jacobi symbol (g | f)=1. */
+ if (cond == 0) return 1 - 2*(jac & 1);
+ }
+
+ /* Determine if len>1 and limb (len-1) of both f and g is 0. */
+ fn = f.v[len - 1];
+ gn = g.v[len - 1];
+ cond = ((int64_t)len - 2) >> 63;
+ cond |= fn;
+ cond |= gn;
+ /* If so, reduce length. */
+ if (cond == 0) --len;
+
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+ }
+
+ /* The loop failed to converge to f=g after 1550 iterations. Return 0, indicating unknown result. */
+ return 0;
+}
+
+#endif /* SECP256K1_MODINV64_IMPL_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/Makefile.am.include b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/Makefile.am.include
index e3088b46..7f7f95f1 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/Makefile.am.include
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/Makefile.am.include
@@ -1,8 +1,4 @@
include_HEADERS += include/secp256k1_ecdh.h
noinst_HEADERS += src/modules/ecdh/main_impl.h
noinst_HEADERS += src/modules/ecdh/tests_impl.h
-if USE_BENCHMARK
-noinst_PROGRAMS += bench_ecdh
-bench_ecdh_SOURCES = src/bench_ecdh.c
-bench_ecdh_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB)
-endif
+noinst_HEADERS += src/modules/ecdh/bench_impl.h
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/bench_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/bench_impl.h
new file mode 100644
index 00000000..c23aaa94
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/bench_impl.h
@@ -0,0 +1,57 @@
+/***********************************************************************
+ * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_ECDH_BENCH_H
+#define SECP256K1_MODULE_ECDH_BENCH_H
+
+#include "../../../include/secp256k1_ecdh.h"
+
+typedef struct {
+ secp256k1_context *ctx;
+ secp256k1_pubkey point;
+ unsigned char scalar[32];
+} bench_ecdh_data;
+
+static void bench_ecdh_setup(void* arg) {
+ int i;
+ bench_ecdh_data *data = (bench_ecdh_data*)arg;
+ const unsigned char point[] = {
+ 0x03,
+ 0x54, 0x94, 0xc1, 0x5d, 0x32, 0x09, 0x97, 0x06,
+ 0xc2, 0x39, 0x5f, 0x94, 0x34, 0x87, 0x45, 0xfd,
+ 0x75, 0x7c, 0xe3, 0x0e, 0x4e, 0x8c, 0x90, 0xfb,
+ 0xa2, 0xba, 0xd1, 0x84, 0xf8, 0x83, 0xc6, 0x9f
+ };
+
+ for (i = 0; i < 32; i++) {
+ data->scalar[i] = i + 1;
+ }
+ CHECK(secp256k1_ec_pubkey_parse(data->ctx, &data->point, point, sizeof(point)) == 1);
+}
+
+static void bench_ecdh(void* arg, int iters) {
+ int i;
+ unsigned char res[32];
+ bench_ecdh_data *data = (bench_ecdh_data*)arg;
+
+ for (i = 0; i < iters; i++) {
+ CHECK(secp256k1_ecdh(data->ctx, res, &data->point, data->scalar, NULL, NULL) == 1);
+ }
+}
+
+static void run_ecdh_bench(int iters, int argc, char** argv) {
+ bench_ecdh_data data;
+ int d = argc == 1;
+
+ /* create a context with no capabilities */
+ data.ctx = secp256k1_context_create(SECP256K1_FLAGS_TYPE_CONTEXT);
+
+ if (d || have_flag(argc, argv, "ecdh")) run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, iters);
+
+ secp256k1_context_destroy(data.ctx);
+}
+
+#endif /* SECP256K1_MODULE_ECDH_BENCH_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/main_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/main_impl.h
index 9e30fb73..842b5359 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/main_impl.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/main_impl.h
@@ -1,54 +1,74 @@
-/**********************************************************************
- * Copyright (c) 2015 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_MODULE_ECDH_MAIN_
-#define _SECP256K1_MODULE_ECDH_MAIN_
+#ifndef SECP256K1_MODULE_ECDH_MAIN_H
+#define SECP256K1_MODULE_ECDH_MAIN_H
-#include "include/secp256k1_ecdh.h"
-#include "ecmult_const_impl.h"
+#include "../../../include/secp256k1_ecdh.h"
+#include "../../ecmult_const_impl.h"
-int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *result, const secp256k1_pubkey *point, const unsigned char *scalar) {
+static int ecdh_hash_function_sha256(unsigned char *output, const unsigned char *x32, const unsigned char *y32, void *data) {
+ unsigned char version = (y32[31] & 0x01) | 0x02;
+ secp256k1_sha256 sha;
+ (void)data;
+
+ secp256k1_sha256_initialize(&sha);
+ secp256k1_sha256_write(&sha, &version, 1);
+ secp256k1_sha256_write(&sha, x32, 32);
+ secp256k1_sha256_finalize(&sha, output);
+ secp256k1_sha256_clear(&sha);
+
+ return 1;
+}
+
+const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_sha256 = ecdh_hash_function_sha256;
+const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_default = ecdh_hash_function_sha256;
+
+int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *output, const secp256k1_pubkey *point, const unsigned char *scalar, secp256k1_ecdh_hash_function hashfp, void *data) {
int ret = 0;
int overflow = 0;
secp256k1_gej res;
secp256k1_ge pt;
secp256k1_scalar s;
+ unsigned char x[32];
+ unsigned char y[32];
+
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(result != NULL);
+ ARG_CHECK(output != NULL);
ARG_CHECK(point != NULL);
ARG_CHECK(scalar != NULL);
+ if (hashfp == NULL) {
+ hashfp = secp256k1_ecdh_hash_function_default;
+ }
+
secp256k1_pubkey_load(ctx, &pt, point);
secp256k1_scalar_set_b32(&s, scalar, &overflow);
- if (overflow || secp256k1_scalar_is_zero(&s)) {
- ret = 0;
- } else {
- unsigned char x[32];
- unsigned char y[1];
- secp256k1_sha256_t sha;
-
- secp256k1_ecmult_const(&res, &pt, &s);
- secp256k1_ge_set_gej(&pt, &res);
- /* Compute a hash of the point in compressed form
- * Note we cannot use secp256k1_eckey_pubkey_serialize here since it does not
- * expect its output to be secret and has a timing sidechannel. */
- secp256k1_fe_normalize(&pt.x);
- secp256k1_fe_normalize(&pt.y);
- secp256k1_fe_get_b32(x, &pt.x);
- y[0] = 0x02 | secp256k1_fe_is_odd(&pt.y);
-
- secp256k1_sha256_initialize(&sha);
- secp256k1_sha256_write(&sha, y, sizeof(y));
- secp256k1_sha256_write(&sha, x, sizeof(x));
- secp256k1_sha256_finalize(&sha, result);
- ret = 1;
- }
+ overflow |= secp256k1_scalar_is_zero(&s);
+ secp256k1_scalar_cmov(&s, &secp256k1_scalar_one, overflow);
+
+ secp256k1_ecmult_const(&res, &pt, &s);
+ secp256k1_ge_set_gej(&pt, &res);
+
+ /* Compute a hash of the point */
+ secp256k1_fe_normalize(&pt.x);
+ secp256k1_fe_normalize(&pt.y);
+ secp256k1_fe_get_b32(x, &pt.x);
+ secp256k1_fe_get_b32(y, &pt.y);
+
+ ret = hashfp(output, x, y, data);
+
+ secp256k1_memclear(x, sizeof(x));
+ secp256k1_memclear(y, sizeof(y));
secp256k1_scalar_clear(&s);
- return ret;
+ secp256k1_ge_clear(&pt);
+ secp256k1_gej_clear(&res);
+
+ return !!ret & !overflow;
}
-#endif
+#endif /* SECP256K1_MODULE_ECDH_MAIN_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/tests_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/tests_impl.h
index a423e59b..3c3acdaf 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/tests_impl.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ecdh/tests_impl.h
@@ -1,76 +1,87 @@
-/**********************************************************************
- * Copyright (c) 2015 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef _SECP256K1_MODULE_ECDH_TESTS_
-#define _SECP256K1_MODULE_ECDH_TESTS_
-
-void test_ecdh_api(void) {
- /* Setup context that just counts errors */
- secp256k1_context *tctx = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
+/***********************************************************************
+ * Copyright (c) 2015 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_ECDH_TESTS_H
+#define SECP256K1_MODULE_ECDH_TESTS_H
+
+static int ecdh_hash_function_test_fail(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) {
+ (void)output;
+ (void)x;
+ (void)y;
+ (void)data;
+ return 0;
+}
+
+static int ecdh_hash_function_custom(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) {
+ (void)data;
+ /* Save x and y as uncompressed public key */
+ output[0] = 0x04;
+ memcpy(output + 1, x, 32);
+ memcpy(output + 33, y, 32);
+ return 1;
+}
+
+static void test_ecdh_api(void) {
secp256k1_pubkey point;
unsigned char res[32];
unsigned char s_one[32] = { 0 };
- int32_t ecount = 0;
s_one[31] = 1;
- ethkit_secp256k1_context_set_error_callback(tctx, counting_illegal_callback_fn, &ecount);
- ethkit_secp256k1_context_set_illegal_callback(tctx, counting_illegal_callback_fn, &ecount);
- CHECK(ethkit_secp256k1_ec_pubkey_create(tctx, &point, s_one) == 1);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_one) == 1);
/* Check all NULLs are detected */
- CHECK(secp256k1_ecdh(tctx, res, &point, s_one) == 1);
- CHECK(ecount == 0);
- CHECK(secp256k1_ecdh(tctx, NULL, &point, s_one) == 0);
- CHECK(ecount == 1);
- CHECK(secp256k1_ecdh(tctx, res, NULL, s_one) == 0);
- CHECK(ecount == 2);
- CHECK(secp256k1_ecdh(tctx, res, &point, NULL) == 0);
- CHECK(ecount == 3);
- CHECK(secp256k1_ecdh(tctx, res, &point, s_one) == 1);
- CHECK(ecount == 3);
-
- /* Cleanup */
- ethkit_secp256k1_context_destroy(tctx);
+ CHECK(secp256k1_ecdh(CTX, res, &point, s_one, NULL, NULL) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdh(CTX, NULL, &point, s_one, NULL, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdh(CTX, res, NULL, s_one, NULL, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdh(CTX, res, &point, NULL, NULL, NULL));
+ CHECK(secp256k1_ecdh(CTX, res, &point, s_one, NULL, NULL) == 1);
}
-void test_ecdh_generator_basepoint(void) {
+static void test_ecdh_generator_basepoint(void) {
unsigned char s_one[32] = { 0 };
secp256k1_pubkey point[2];
int i;
s_one[31] = 1;
/* Check against pubkey creation when the basepoint is the generator */
- for (i = 0; i < 100; ++i) {
- secp256k1_sha256_t sha;
+ for (i = 0; i < 2 * COUNT; ++i) {
+ secp256k1_sha256 sha;
unsigned char s_b32[32];
- unsigned char output_ecdh[32];
+ unsigned char output_ecdh[65];
unsigned char output_ser[32];
- unsigned char point_ser[33];
+ unsigned char point_ser[65];
size_t point_ser_len = sizeof(point_ser);
secp256k1_scalar s;
- random_scalar_order(&s);
+ testutil_random_scalar_order(&s);
secp256k1_scalar_get_b32(s_b32, &s);
- /* compute using ECDH function */
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &point[0], s_one) == 1);
- CHECK(secp256k1_ecdh(ctx, output_ecdh, &point[0], s_b32) == 1);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &point[0], s_one) == 1);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &point[1], s_b32) == 1);
+
+ /* compute using ECDH function with custom hash function */
+ CHECK(secp256k1_ecdh(CTX, output_ecdh, &point[0], s_b32, ecdh_hash_function_custom, NULL) == 1);
+ /* compute "explicitly" */
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, point_ser, &point_ser_len, &point[1], SECP256K1_EC_UNCOMPRESSED) == 1);
+ /* compare */
+ CHECK(secp256k1_memcmp_var(output_ecdh, point_ser, 65) == 0);
+
+ /* compute using ECDH function with default hash function */
+ CHECK(secp256k1_ecdh(CTX, output_ecdh, &point[0], s_b32, NULL, NULL) == 1);
/* compute "explicitly" */
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &point[1], s_b32) == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, point_ser, &point_ser_len, &point[1], SECP256K1_EC_COMPRESSED) == 1);
- CHECK(point_ser_len == sizeof(point_ser));
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, point_ser, &point_ser_len, &point[1], SECP256K1_EC_COMPRESSED) == 1);
secp256k1_sha256_initialize(&sha);
secp256k1_sha256_write(&sha, point_ser, point_ser_len);
secp256k1_sha256_finalize(&sha, output_ser);
/* compare */
- CHECK(memcmp(output_ecdh, output_ser, sizeof(output_ser)) == 0);
+ CHECK(secp256k1_memcmp_var(output_ecdh, output_ser, 32) == 0);
}
}
-void test_bad_scalar(void) {
+static void test_bad_scalar(void) {
unsigned char s_zero[32] = { 0 };
unsigned char s_overflow[32] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
@@ -84,22 +95,58 @@ void test_bad_scalar(void) {
secp256k1_pubkey point;
/* Create random point */
- random_scalar_order(&rand);
+ testutil_random_scalar_order(&rand);
secp256k1_scalar_get_b32(s_rand, &rand);
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &point, s_rand) == 1);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_rand) == 1);
/* Try to multiply it by bad values */
- CHECK(secp256k1_ecdh(ctx, output, &point, s_zero) == 0);
- CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow) == 0);
+ CHECK(secp256k1_ecdh(CTX, output, &point, s_zero, NULL, NULL) == 0);
+ CHECK(secp256k1_ecdh(CTX, output, &point, s_overflow, NULL, NULL) == 0);
/* ...and a good one */
s_overflow[31] -= 1;
- CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow) == 1);
+ CHECK(secp256k1_ecdh(CTX, output, &point, s_overflow, NULL, NULL) == 1);
+
+ /* Hash function failure results in ecdh failure */
+ CHECK(secp256k1_ecdh(CTX, output, &point, s_overflow, ecdh_hash_function_test_fail, NULL) == 0);
+}
+
+/** Test that ECDH(sG, 1/s) == ECDH((1/s)G, s) == ECDH(G, 1) for a few random s. */
+static void test_result_basepoint(void) {
+ secp256k1_pubkey point;
+ secp256k1_scalar rand;
+ unsigned char s[32];
+ unsigned char s_inv[32];
+ unsigned char out[32];
+ unsigned char out_inv[32];
+ unsigned char out_base[32];
+ int i;
+
+ unsigned char s_one[32] = { 0 };
+ s_one[31] = 1;
+ CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_one) == 1);
+ CHECK(secp256k1_ecdh(CTX, out_base, &point, s_one, NULL, NULL) == 1);
+
+ for (i = 0; i < 2 * COUNT; i++) {
+ testutil_random_scalar_order(&rand);
+ secp256k1_scalar_get_b32(s, &rand);
+ secp256k1_scalar_inverse(&rand, &rand);
+ secp256k1_scalar_get_b32(s_inv, &rand);
+
+ CHECK(secp256k1_ec_pubkey_create(CTX, &point, s) == 1);
+ CHECK(secp256k1_ecdh(CTX, out, &point, s_inv, NULL, NULL) == 1);
+ CHECK(secp256k1_memcmp_var(out, out_base, 32) == 0);
+
+ CHECK(secp256k1_ec_pubkey_create(CTX, &point, s_inv) == 1);
+ CHECK(secp256k1_ecdh(CTX, out_inv, &point, s, NULL, NULL) == 1);
+ CHECK(secp256k1_memcmp_var(out_inv, out_base, 32) == 0);
+ }
}
-void run_ecdh_tests(void) {
+static void run_ecdh_tests(void) {
test_ecdh_api();
test_ecdh_generator_basepoint();
test_bad_scalar();
+ test_result_basepoint();
}
-#endif
+#endif /* SECP256K1_MODULE_ECDH_TESTS_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/Makefile.am.include b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/Makefile.am.include
new file mode 100644
index 00000000..8251231e
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/Makefile.am.include
@@ -0,0 +1,5 @@
+include_HEADERS += include/secp256k1_ellswift.h
+noinst_HEADERS += src/modules/ellswift/bench_impl.h
+noinst_HEADERS += src/modules/ellswift/main_impl.h
+noinst_HEADERS += src/modules/ellswift/tests_impl.h
+noinst_HEADERS += src/modules/ellswift/tests_exhaustive_impl.h
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/bench_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/bench_impl.h
new file mode 100644
index 00000000..b16a3a36
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/bench_impl.h
@@ -0,0 +1,106 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_ELLSWIFT_BENCH_H
+#define SECP256K1_MODULE_ELLSWIFT_BENCH_H
+
+#include "../../../include/secp256k1_ellswift.h"
+
+typedef struct {
+ secp256k1_context *ctx;
+ secp256k1_pubkey point[256];
+ unsigned char rnd64[64];
+} bench_ellswift_data;
+
+static void bench_ellswift_setup(void *arg) {
+ int i;
+ bench_ellswift_data *data = (bench_ellswift_data*)arg;
+ static const unsigned char init[64] = {
+ 0x78, 0x1f, 0xb7, 0xd4, 0x67, 0x7f, 0x08, 0x68,
+ 0xdb, 0xe3, 0x1d, 0x7f, 0x1b, 0xb0, 0xf6, 0x9e,
+ 0x0a, 0x64, 0xca, 0x32, 0x9e, 0xc6, 0x20, 0x79,
+ 0x03, 0xf3, 0xd0, 0x46, 0x7a, 0x0f, 0xd2, 0x21,
+ 0xb0, 0x2c, 0x46, 0xd8, 0xba, 0xca, 0x26, 0x4f,
+ 0x8f, 0x8c, 0xd4, 0xdd, 0x2d, 0x04, 0xbe, 0x30,
+ 0x48, 0x51, 0x1e, 0xd4, 0x16, 0xfd, 0x42, 0x85,
+ 0x62, 0xc9, 0x02, 0xf9, 0x89, 0x84, 0xff, 0xdc
+ };
+ memcpy(data->rnd64, init, 64);
+ for (i = 0; i < 256; ++i) {
+ int j;
+ CHECK(secp256k1_ellswift_decode(data->ctx, &data->point[i], data->rnd64));
+ for (j = 0; j < 64; ++j) {
+ data->rnd64[j] += 1;
+ }
+ }
+ CHECK(secp256k1_ellswift_encode(data->ctx, data->rnd64, &data->point[255], init + 16));
+}
+
+static void bench_ellswift_encode(void *arg, int iters) {
+ int i;
+ bench_ellswift_data *data = (bench_ellswift_data*)arg;
+
+ for (i = 0; i < iters; i++) {
+ CHECK(secp256k1_ellswift_encode(data->ctx, data->rnd64, &data->point[i & 255], data->rnd64 + 16));
+ }
+}
+
+static void bench_ellswift_create(void *arg, int iters) {
+ int i;
+ bench_ellswift_data *data = (bench_ellswift_data*)arg;
+
+ for (i = 0; i < iters; i++) {
+ unsigned char buf[64];
+ CHECK(secp256k1_ellswift_create(data->ctx, buf, data->rnd64, data->rnd64 + 32));
+ memcpy(data->rnd64, buf, 64);
+ }
+}
+
+static void bench_ellswift_decode(void *arg, int iters) {
+ int i;
+ secp256k1_pubkey out;
+ size_t len;
+ bench_ellswift_data *data = (bench_ellswift_data*)arg;
+
+ for (i = 0; i < iters; i++) {
+ CHECK(secp256k1_ellswift_decode(data->ctx, &out, data->rnd64) == 1);
+ len = 33;
+ CHECK(secp256k1_ec_pubkey_serialize(data->ctx, data->rnd64 + (i % 32), &len, &out, SECP256K1_EC_COMPRESSED));
+ }
+}
+
+static void bench_ellswift_xdh(void *arg, int iters) {
+ int i;
+ bench_ellswift_data *data = (bench_ellswift_data*)arg;
+
+ for (i = 0; i < iters; i++) {
+ int party = i & 1;
+ CHECK(secp256k1_ellswift_xdh(data->ctx,
+ data->rnd64 + (i % 33),
+ data->rnd64,
+ data->rnd64,
+ data->rnd64 + ((i + 16) % 33),
+ party,
+ secp256k1_ellswift_xdh_hash_function_bip324,
+ NULL) == 1);
+ }
+}
+
+void run_ellswift_bench(int iters, int argc, char **argv) {
+ bench_ellswift_data data;
+ int d = argc == 1;
+
+ /* create a context with signing capabilities */
+ data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+
+ if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "encode") || have_flag(argc, argv, "ellswift_encode")) run_benchmark("ellswift_encode", bench_ellswift_encode, bench_ellswift_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "decode") || have_flag(argc, argv, "ellswift_decode")) run_benchmark("ellswift_decode", bench_ellswift_decode, bench_ellswift_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "keygen") || have_flag(argc, argv, "ellswift_keygen")) run_benchmark("ellswift_keygen", bench_ellswift_create, bench_ellswift_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "ecdh") || have_flag(argc, argv, "ellswift_ecdh")) run_benchmark("ellswift_ecdh", bench_ellswift_xdh, bench_ellswift_setup, NULL, &data, 10, iters);
+
+ secp256k1_context_destroy(data.ctx);
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/main_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/main_impl.h
new file mode 100644
index 00000000..745a9691
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/main_impl.h
@@ -0,0 +1,592 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_ELLSWIFT_MAIN_H
+#define SECP256K1_MODULE_ELLSWIFT_MAIN_H
+
+#include "../../../include/secp256k1.h"
+#include "../../../include/secp256k1_ellswift.h"
+#include "../../eckey.h"
+#include "../../hash.h"
+
+/** c1 = (sqrt(-3)-1)/2 */
+static const secp256k1_fe secp256k1_ellswift_c1 = SECP256K1_FE_CONST(0x851695d4, 0x9a83f8ef, 0x919bb861, 0x53cbcb16, 0x630fb68a, 0xed0a766a, 0x3ec693d6, 0x8e6afa40);
+/** c2 = (-sqrt(-3)-1)/2 = -(c1+1) */
+static const secp256k1_fe secp256k1_ellswift_c2 = SECP256K1_FE_CONST(0x7ae96a2b, 0x657c0710, 0x6e64479e, 0xac3434e9, 0x9cf04975, 0x12f58995, 0xc1396c28, 0x719501ee);
+/** c3 = (-sqrt(-3)+1)/2 = -c1 = c2+1 */
+static const secp256k1_fe secp256k1_ellswift_c3 = SECP256K1_FE_CONST(0x7ae96a2b, 0x657c0710, 0x6e64479e, 0xac3434e9, 0x9cf04975, 0x12f58995, 0xc1396c28, 0x719501ef);
+/** c4 = (sqrt(-3)+1)/2 = -c2 = c1+1 */
+static const secp256k1_fe secp256k1_ellswift_c4 = SECP256K1_FE_CONST(0x851695d4, 0x9a83f8ef, 0x919bb861, 0x53cbcb16, 0x630fb68a, 0xed0a766a, 0x3ec693d6, 0x8e6afa41);
+
+/** Decode ElligatorSwift encoding (u, t) to a fraction xn/xd representing a curve X coordinate. */
+static void secp256k1_ellswift_xswiftec_frac_var(secp256k1_fe *xn, secp256k1_fe *xd, const secp256k1_fe *u, const secp256k1_fe *t) {
+ /* The implemented algorithm is the following (all operations in GF(p)):
+ *
+ * - Let c0 = sqrt(-3) = 0xa2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f852.
+ * - If u = 0, set u = 1.
+ * - If t = 0, set t = 1.
+ * - If u^3+7+t^2 = 0, set t = 2*t.
+ * - Let X = (u^3+7-t^2)/(2*t).
+ * - Let Y = (X+t)/(c0*u).
+ * - If x3 = u+4*Y^2 is a valid x coordinate, return it.
+ * - If x2 = (-X/Y-u)/2 is a valid x coordinate, return it.
+ * - Return x1 = (X/Y-u)/2 (which is now guaranteed to be a valid x coordinate).
+ *
+ * Introducing s=t^2, g=u^3+7, and simplifying x1=-(x2+u) we get:
+ *
+ * - Let c0 = ...
+ * - If u = 0, set u = 1.
+ * - If t = 0, set t = 1.
+ * - Let s = t^2
+ * - Let g = u^3+7
+ * - If g+s = 0, set t = 2*t, s = 4*s
+ * - Let X = (g-s)/(2*t).
+ * - Let Y = (X+t)/(c0*u) = (g+s)/(2*c0*t*u).
+ * - If x3 = u+4*Y^2 is a valid x coordinate, return it.
+ * - If x2 = (-X/Y-u)/2 is a valid x coordinate, return it.
+ * - Return x1 = -(x2+u).
+ *
+ * Now substitute Y^2 = -(g+s)^2/(12*s*u^2) and X/Y = c0*u*(g-s)/(g+s). This
+ * means X and Y do not need to be evaluated explicitly anymore.
+ *
+ * - ...
+ * - If g+s = 0, set s = 4*s.
+ * - If x3 = u-(g+s)^2/(3*s*u^2) is a valid x coordinate, return it.
+ * - If x2 = (-c0*u*(g-s)/(g+s)-u)/2 is a valid x coordinate, return it.
+ * - Return x1 = -(x2+u).
+ *
+ * Simplifying x2 using 2 additional constants:
+ *
+ * - Let c1 = (c0-1)/2 = 0x851695d49a83f8ef919bb86153cbcb16630fb68aed0a766a3ec693d68e6afa40.
+ * - Let c2 = (-c0-1)/2 = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee.
+ * - ...
+ * - If x2 = u*(c1*s+c2*g)/(g+s) is a valid x coordinate, return it.
+ * - ...
+ *
+ * Writing x3 as a fraction:
+ *
+ * - ...
+ * - If x3 = (3*s*u^3-(g+s)^2)/(3*s*u^2) ...
+ * - ...
+
+ * Overall, we get:
+ *
+ * - Let c1 = 0x851695d49a83f8ef919bb86153cbcb16630fb68aed0a766a3ec693d68e6afa40.
+ * - Let c2 = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee.
+ * - If u = 0, set u = 1.
+ * - If t = 0, set s = 1, else set s = t^2.
+ * - Let g = u^3+7.
+ * - If g+s = 0, set s = 4*s.
+ * - If x3 = (3*s*u^3-(g+s)^2)/(3*s*u^2) is a valid x coordinate, return it.
+ * - If x2 = u*(c1*s+c2*g)/(g+s) is a valid x coordinate, return it.
+ * - Return x1 = -(x2+u).
+ */
+ secp256k1_fe u1, s, g, p, d, n, l;
+ u1 = *u;
+ if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&u1), 0)) u1 = secp256k1_fe_one;
+ secp256k1_fe_sqr(&s, t);
+ if (EXPECT(secp256k1_fe_normalizes_to_zero_var(t), 0)) s = secp256k1_fe_one;
+ secp256k1_fe_sqr(&l, &u1); /* l = u^2 */
+ secp256k1_fe_mul(&g, &l, &u1); /* g = u^3 */
+ secp256k1_fe_add_int(&g, SECP256K1_B); /* g = u^3 + 7 */
+ p = g; /* p = g */
+ secp256k1_fe_add(&p, &s); /* p = g+s */
+ if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&p), 0)) {
+ secp256k1_fe_mul_int(&s, 4);
+ /* Recompute p = g+s */
+ p = g; /* p = g */
+ secp256k1_fe_add(&p, &s); /* p = g+s */
+ }
+ secp256k1_fe_mul(&d, &s, &l); /* d = s*u^2 */
+ secp256k1_fe_mul_int(&d, 3); /* d = 3*s*u^2 */
+ secp256k1_fe_sqr(&l, &p); /* l = (g+s)^2 */
+ secp256k1_fe_negate(&l, &l, 1); /* l = -(g+s)^2 */
+ secp256k1_fe_mul(&n, &d, &u1); /* n = 3*s*u^3 */
+ secp256k1_fe_add(&n, &l); /* n = 3*s*u^3-(g+s)^2 */
+ if (secp256k1_ge_x_frac_on_curve_var(&n, &d)) {
+ /* Return x3 = n/d = (3*s*u^3-(g+s)^2)/(3*s*u^2) */
+ *xn = n;
+ *xd = d;
+ return;
+ }
+ *xd = p;
+ secp256k1_fe_mul(&l, &secp256k1_ellswift_c1, &s); /* l = c1*s */
+ secp256k1_fe_mul(&n, &secp256k1_ellswift_c2, &g); /* n = c2*g */
+ secp256k1_fe_add(&n, &l); /* n = c1*s+c2*g */
+ secp256k1_fe_mul(&n, &n, &u1); /* n = u*(c1*s+c2*g) */
+ /* Possible optimization: in the invocation below, p^2 = (g+s)^2 is computed,
+ * which we already have computed above. This could be deduplicated. */
+ if (secp256k1_ge_x_frac_on_curve_var(&n, &p)) {
+ /* Return x2 = n/p = u*(c1*s+c2*g)/(g+s) */
+ *xn = n;
+ return;
+ }
+ secp256k1_fe_mul(&l, &p, &u1); /* l = u*(g+s) */
+ secp256k1_fe_add(&n, &l); /* n = u*(c1*s+c2*g)+u*(g+s) */
+ secp256k1_fe_negate(xn, &n, 2); /* n = -u*(c1*s+c2*g)-u*(g+s) */
+
+ VERIFY_CHECK(secp256k1_ge_x_frac_on_curve_var(xn, &p));
+ /* Return x3 = n/p = -(u*(c1*s+c2*g)/(g+s)+u) */
+}
+
+/** Decode ElligatorSwift encoding (u, t) to X coordinate. */
+static void secp256k1_ellswift_xswiftec_var(secp256k1_fe *x, const secp256k1_fe *u, const secp256k1_fe *t) {
+ secp256k1_fe xn, xd;
+ secp256k1_ellswift_xswiftec_frac_var(&xn, &xd, u, t);
+ secp256k1_fe_inv_var(&xd, &xd);
+ secp256k1_fe_mul(x, &xn, &xd);
+}
+
+/** Decode ElligatorSwift encoding (u, t) to point P. */
+static void secp256k1_ellswift_swiftec_var(secp256k1_ge *p, const secp256k1_fe *u, const secp256k1_fe *t) {
+ secp256k1_fe x;
+ secp256k1_ellswift_xswiftec_var(&x, u, t);
+ secp256k1_ge_set_xo_var(p, &x, secp256k1_fe_is_odd(t));
+}
+
+/* Try to complete an ElligatorSwift encoding (u, t) for X coordinate x, given u and x.
+ *
+ * There may be up to 8 distinct t values such that (u, t) decodes back to x, but also
+ * fewer, or none at all. Each such partial inverse can be accessed individually using a
+ * distinct input argument c (in range 0-7), and some or all of these may return failure.
+ * The following guarantees exist:
+ * - Given (x, u), no two distinct c values give the same successful result t.
+ * - Every successful result maps back to x through secp256k1_ellswift_xswiftec_var.
+ * - Given (x, u), all t values that map back to x can be reached by combining the
+ * successful results from this function over all c values, with the exception of:
+ * - this function cannot be called with u=0
+ * - no result with t=0 will be returned
+ * - no result for which u^3 + t^2 + 7 = 0 will be returned.
+ *
+ * The rather unusual encoding of bits in c (a large "if" based on the middle bit, and then
+ * using the low and high bits to pick signs of square roots) is to match the paper's
+ * encoding more closely: c=0 through c=3 match branches 1..4 in the paper, while c=4 through
+ * c=7 are copies of those with an additional negation of sqrt(w).
+ */
+static int secp256k1_ellswift_xswiftec_inv_var(secp256k1_fe *t, const secp256k1_fe *x_in, const secp256k1_fe *u_in, int c) {
+ /* The implemented algorithm is this (all arithmetic, except involving c, is mod p):
+ *
+ * - If (c & 2) = 0:
+ * - If (-x-u) is a valid X coordinate, fail.
+ * - Let s=-(u^3+7)/(u^2+u*x+x^2).
+ * - If s is not square, fail.
+ * - Let v=x.
+ * - If (c & 2) = 2:
+ * - Let s=x-u.
+ * - If s is not square, fail.
+ * - Let r=sqrt(-s*(4*(u^3+7)+3*u^2*s)); fail if it doesn't exist.
+ * - If (c & 1) = 1 and r = 0, fail.
+ * - If s=0, fail.
+ * - Let v=(r/s-u)/2.
+ * - Let w=sqrt(s).
+ * - If (c & 5) = 0: return -w*(c3*u + v).
+ * - If (c & 5) = 1: return w*(c4*u + v).
+ * - If (c & 5) = 4: return w*(c3*u + v).
+ * - If (c & 5) = 5: return -w*(c4*u + v).
+ */
+ secp256k1_fe x = *x_in, u = *u_in, g, v, s, m, r, q;
+ int ret;
+
+ secp256k1_fe_normalize_weak(&x);
+ secp256k1_fe_normalize_weak(&u);
+
+ VERIFY_CHECK(c >= 0 && c < 8);
+ VERIFY_CHECK(secp256k1_ge_x_on_curve_var(&x));
+
+ if (!(c & 2)) {
+ /* c is in {0, 1, 4, 5}. In this case we look for an inverse under the x1 (if c=0 or
+ * c=4) formula, or x2 (if c=1 or c=5) formula. */
+
+ /* If -u-x is a valid X coordinate, fail. This would yield an encoding that roundtrips
+ * back under the x3 formula instead (which has priority over x1 and x2, so the decoding
+ * would not match x). */
+ m = x; /* m = x */
+ secp256k1_fe_add(&m, &u); /* m = u+x */
+ secp256k1_fe_negate(&m, &m, 2); /* m = -u-x */
+ /* Test if (-u-x) is a valid X coordinate. If so, fail. */
+ if (secp256k1_ge_x_on_curve_var(&m)) return 0;
+
+ /* Let s = -(u^3 + 7)/(u^2 + u*x + x^2) [first part] */
+ secp256k1_fe_sqr(&s, &m); /* s = (u+x)^2 */
+ secp256k1_fe_negate(&s, &s, 1); /* s = -(u+x)^2 */
+ secp256k1_fe_mul(&m, &u, &x); /* m = u*x */
+ secp256k1_fe_add(&s, &m); /* s = -(u^2 + u*x + x^2) */
+
+ /* Note that at this point, s = 0 is impossible. If it were the case:
+ * s = -(u^2 + u*x + x^2) = 0
+ * => u^2 + u*x + x^2 = 0
+ * => (u + 2*x) * (u^2 + u*x + x^2) = 0
+ * => 2*x^3 + 3*x^2*u + 3*x*u^2 + u^3 = 0
+ * => (x + u)^3 + x^3 = 0
+ * => x^3 = -(x + u)^3
+ * => x^3 + B = (-u - x)^3 + B
+ *
+ * However, we know x^3 + B is square (because x is on the curve) and
+ * that (-u-x)^3 + B is not square (the secp256k1_ge_x_on_curve_var(&m)
+ * test above would have failed). This is a contradiction, and thus the
+ * assumption s=0 is false. */
+ VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(&s));
+
+ /* If s is not square, fail. We have not fully computed s yet, but s is square iff
+ * -(u^3+7)*(u^2+u*x+x^2) is square (because a/b is square iff a*b is square and b is
+ * nonzero). */
+ secp256k1_fe_sqr(&g, &u); /* g = u^2 */
+ secp256k1_fe_mul(&g, &g, &u); /* g = u^3 */
+ secp256k1_fe_add_int(&g, SECP256K1_B); /* g = u^3+7 */
+ secp256k1_fe_mul(&m, &s, &g); /* m = -(u^3 + 7)*(u^2 + u*x + x^2) */
+ if (!secp256k1_fe_is_square_var(&m)) return 0;
+
+ /* Let s = -(u^3 + 7)/(u^2 + u*x + x^2) [second part] */
+ secp256k1_fe_inv_var(&s, &s); /* s = -1/(u^2 + u*x + x^2) [no div by 0] */
+ secp256k1_fe_mul(&s, &s, &g); /* s = -(u^3 + 7)/(u^2 + u*x + x^2) */
+
+ /* Let v = x. */
+ v = x;
+ } else {
+ /* c is in {2, 3, 6, 7}. In this case we look for an inverse under the x3 formula. */
+
+ /* Let s = x-u. */
+ secp256k1_fe_negate(&m, &u, 1); /* m = -u */
+ s = m; /* s = -u */
+ secp256k1_fe_add(&s, &x); /* s = x-u */
+
+ /* If s is not square, fail. */
+ if (!secp256k1_fe_is_square_var(&s)) return 0;
+
+ /* Let r = sqrt(-s*(4*(u^3+7)+3*u^2*s)); fail if it doesn't exist. */
+ secp256k1_fe_sqr(&g, &u); /* g = u^2 */
+ secp256k1_fe_mul(&q, &s, &g); /* q = s*u^2 */
+ secp256k1_fe_mul_int(&q, 3); /* q = 3*s*u^2 */
+ secp256k1_fe_mul(&g, &g, &u); /* g = u^3 */
+ secp256k1_fe_mul_int(&g, 4); /* g = 4*u^3 */
+ secp256k1_fe_add_int(&g, 4 * SECP256K1_B); /* g = 4*(u^3+7) */
+ secp256k1_fe_add(&q, &g); /* q = 4*(u^3+7)+3*s*u^2 */
+ secp256k1_fe_mul(&q, &q, &s); /* q = s*(4*(u^3+7)+3*u^2*s) */
+ secp256k1_fe_negate(&q, &q, 1); /* q = -s*(4*(u^3+7)+3*u^2*s) */
+ if (!secp256k1_fe_is_square_var(&q)) return 0;
+ ret = secp256k1_fe_sqrt(&r, &q); /* r = sqrt(-s*(4*(u^3+7)+3*u^2*s)) */
+#ifdef VERIFY
+ VERIFY_CHECK(ret);
+#else
+ (void)ret;
+#endif
+
+ /* If (c & 1) = 1 and r = 0, fail. */
+ if (EXPECT((c & 1) && secp256k1_fe_normalizes_to_zero_var(&r), 0)) return 0;
+
+ /* If s = 0, fail. */
+ if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&s), 0)) return 0;
+
+ /* Let v = (r/s-u)/2. */
+ secp256k1_fe_inv_var(&v, &s); /* v = 1/s [no div by 0] */
+ secp256k1_fe_mul(&v, &v, &r); /* v = r/s */
+ secp256k1_fe_add(&v, &m); /* v = r/s-u */
+ secp256k1_fe_half(&v); /* v = (r/s-u)/2 */
+ }
+
+ /* Let w = sqrt(s). */
+ ret = secp256k1_fe_sqrt(&m, &s); /* m = sqrt(s) = w */
+ VERIFY_CHECK(ret);
+
+ /* Return logic. */
+ if ((c & 5) == 0 || (c & 5) == 5) {
+ secp256k1_fe_negate(&m, &m, 1); /* m = -w */
+ }
+ /* Now m = {-w if c&5=0 or c&5=5; w otherwise}. */
+ secp256k1_fe_mul(&u, &u, c&1 ? &secp256k1_ellswift_c4 : &secp256k1_ellswift_c3);
+ /* u = {c4 if c&1=1; c3 otherwise}*u */
+ secp256k1_fe_add(&u, &v); /* u = {c4 if c&1=1; c3 otherwise}*u + v */
+ secp256k1_fe_mul(t, &m, &u);
+ return 1;
+}
+
+/** Use SHA256 as a PRNG, returning SHA256(hasher || cnt).
+ *
+ * hasher is a SHA256 object to which an incrementing 4-byte counter is written to generate randomness.
+ * Writing 13 bytes (4 bytes for counter, plus 9 bytes for the SHA256 padding) cannot cross a
+ * 64-byte block size boundary (to make sure it only triggers a single SHA256 compression). */
+static void secp256k1_ellswift_prng(unsigned char* out32, const secp256k1_sha256 *hasher, uint32_t cnt) {
+ secp256k1_sha256 hash = *hasher;
+ unsigned char buf4[4];
+#ifdef VERIFY
+ size_t blocks = hash.bytes >> 6;
+#endif
+ buf4[0] = cnt;
+ buf4[1] = cnt >> 8;
+ buf4[2] = cnt >> 16;
+ buf4[3] = cnt >> 24;
+ secp256k1_sha256_write(&hash, buf4, 4);
+ secp256k1_sha256_finalize(&hash, out32);
+
+ /* Writing and finalizing together should trigger exactly one SHA256 compression. */
+ VERIFY_CHECK(((hash.bytes) >> 6) == (blocks + 1));
+}
+
+/** Find an ElligatorSwift encoding (u, t) for X coordinate x, and random Y coordinate.
+ *
+ * u32 is the 32-byte big endian encoding of u; t is the output field element t that still
+ * needs encoding.
+ *
+ * hasher is a hasher in the secp256k1_ellswift_prng sense, with the same restrictions. */
+static void secp256k1_ellswift_xelligatorswift_var(unsigned char *u32, secp256k1_fe *t, const secp256k1_fe *x, const secp256k1_sha256 *hasher) {
+ /* Pool of 3-bit branch values. */
+ unsigned char branch_hash[32];
+ /* Number of 3-bit values in branch_hash left. */
+ int branches_left = 0;
+ /* Field elements u and branch values are extracted from RNG based on hasher for consecutive
+ * values of cnt. cnt==0 is first used to populate a pool of 64 4-bit branch values. The 64
+ * cnt values that follow are used to generate field elements u. cnt==65 (and multiples
+ * thereof) are used to repopulate the pool and start over, if that were ever necessary.
+ * On average, 4 iterations are needed. */
+ uint32_t cnt = 0;
+ while (1) {
+ int branch;
+ secp256k1_fe u;
+ /* If the pool of branch values is empty, populate it. */
+ if (branches_left == 0) {
+ secp256k1_ellswift_prng(branch_hash, hasher, cnt++);
+ branches_left = 64;
+ }
+ /* Take a 3-bit branch value from the branch pool (top bit is discarded). */
+ --branches_left;
+ branch = (branch_hash[branches_left >> 1] >> ((branches_left & 1) << 2)) & 7;
+ /* Compute a new u value by hashing. */
+ secp256k1_ellswift_prng(u32, hasher, cnt++);
+ /* overflow is not a problem (we prefer uniform u32 over uniform u). */
+ secp256k1_fe_set_b32_mod(&u, u32);
+ /* Since u is the output of a hash, it should practically never be 0. We could apply the
+ * u=0 to u=1 correction here too to deal with that case still, but it's such a low
+ * probability event that we do not bother. */
+ VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero_var(&u));
+
+ /* Find a remainder t, and return it if found. */
+ if (EXPECT(secp256k1_ellswift_xswiftec_inv_var(t, x, &u, branch), 0)) break;
+ }
+}
+
+/** Find an ElligatorSwift encoding (u, t) for point P.
+ *
+ * This is similar secp256k1_ellswift_xelligatorswift_var, except it takes a full group element p
+ * as input, and returns an encoding that matches the provided Y coordinate rather than a random
+ * one.
+ */
+static void secp256k1_ellswift_elligatorswift_var(unsigned char *u32, secp256k1_fe *t, const secp256k1_ge *p, const secp256k1_sha256 *hasher) {
+ secp256k1_ellswift_xelligatorswift_var(u32, t, &p->x, hasher);
+ secp256k1_fe_normalize_var(t);
+ if (secp256k1_fe_is_odd(t) != secp256k1_fe_is_odd(&p->y)) {
+ secp256k1_fe_negate(t, t, 1);
+ secp256k1_fe_normalize_var(t);
+ }
+}
+
+/** Set hash state to the BIP340 tagged hash midstate for "secp256k1_ellswift_encode". */
+static void secp256k1_ellswift_sha256_init_encode(secp256k1_sha256* hash) {
+ secp256k1_sha256_initialize(hash);
+ hash->s[0] = 0xd1a6524bul;
+ hash->s[1] = 0x028594b3ul;
+ hash->s[2] = 0x96e42f4eul;
+ hash->s[3] = 0x1037a177ul;
+ hash->s[4] = 0x1b8fcb8bul;
+ hash->s[5] = 0x56023885ul;
+ hash->s[6] = 0x2560ede1ul;
+ hash->s[7] = 0xd626b715ul;
+
+ hash->bytes = 64;
+}
+
+int secp256k1_ellswift_encode(const secp256k1_context *ctx, unsigned char *ell64, const secp256k1_pubkey *pubkey, const unsigned char *rnd32) {
+ secp256k1_ge p;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(ell64 != NULL);
+ ARG_CHECK(pubkey != NULL);
+ ARG_CHECK(rnd32 != NULL);
+
+ if (secp256k1_pubkey_load(ctx, &p, pubkey)) {
+ secp256k1_fe t;
+ unsigned char p64[64] = {0};
+ size_t ser_size;
+ int ser_ret;
+ secp256k1_sha256 hash;
+
+ /* Set up hasher state; the used RNG is H(pubkey || "\x00"*31 || rnd32 || cnt++), using
+ * BIP340 tagged hash with tag "secp256k1_ellswift_encode". */
+ secp256k1_ellswift_sha256_init_encode(&hash);
+ ser_ret = secp256k1_eckey_pubkey_serialize(&p, p64, &ser_size, 1);
+#ifdef VERIFY
+ VERIFY_CHECK(ser_ret && ser_size == 33);
+#else
+ (void)ser_ret;
+#endif
+ secp256k1_sha256_write(&hash, p64, sizeof(p64));
+ secp256k1_sha256_write(&hash, rnd32, 32);
+
+ /* Compute ElligatorSwift encoding and construct output. */
+ secp256k1_ellswift_elligatorswift_var(ell64, &t, &p, &hash); /* puts u in ell64[0..32] */
+ secp256k1_fe_get_b32(ell64 + 32, &t); /* puts t in ell64[32..64] */
+ return 1;
+ }
+ /* Only reached in case the provided pubkey is invalid. */
+ memset(ell64, 0, 64);
+ return 0;
+}
+
+/** Set hash state to the BIP340 tagged hash midstate for "secp256k1_ellswift_create". */
+static void secp256k1_ellswift_sha256_init_create(secp256k1_sha256* hash) {
+ secp256k1_sha256_initialize(hash);
+ hash->s[0] = 0xd29e1bf5ul;
+ hash->s[1] = 0xf7025f42ul;
+ hash->s[2] = 0x9b024773ul;
+ hash->s[3] = 0x094cb7d5ul;
+ hash->s[4] = 0xe59ed789ul;
+ hash->s[5] = 0x03bc9786ul;
+ hash->s[6] = 0x68335b35ul;
+ hash->s[7] = 0x4e363b53ul;
+
+ hash->bytes = 64;
+}
+
+int secp256k1_ellswift_create(const secp256k1_context *ctx, unsigned char *ell64, const unsigned char *seckey32, const unsigned char *auxrnd32) {
+ secp256k1_ge p;
+ secp256k1_fe t;
+ secp256k1_sha256 hash;
+ secp256k1_scalar seckey_scalar;
+ int ret;
+ static const unsigned char zero32[32] = {0};
+
+ /* Sanity check inputs. */
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(ell64 != NULL);
+ memset(ell64, 0, 64);
+ ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+ ARG_CHECK(seckey32 != NULL);
+
+ /* Compute (affine) public key */
+ ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &seckey_scalar, &p, seckey32);
+ secp256k1_declassify(ctx, &p, sizeof(p)); /* not constant time in produced pubkey */
+ secp256k1_fe_normalize_var(&p.x);
+ secp256k1_fe_normalize_var(&p.y);
+
+ /* Set up hasher state. The used RNG is H(privkey || "\x00"*32 [|| auxrnd32] || cnt++),
+ * using BIP340 tagged hash with tag "secp256k1_ellswift_create". */
+ secp256k1_ellswift_sha256_init_create(&hash);
+ secp256k1_sha256_write(&hash, seckey32, 32);
+ secp256k1_sha256_write(&hash, zero32, sizeof(zero32));
+ secp256k1_declassify(ctx, &hash, sizeof(hash)); /* private key is hashed now */
+ if (auxrnd32) secp256k1_sha256_write(&hash, auxrnd32, 32);
+
+ /* Compute ElligatorSwift encoding and construct output. */
+ secp256k1_ellswift_elligatorswift_var(ell64, &t, &p, &hash); /* puts u in ell64[0..32] */
+ secp256k1_fe_get_b32(ell64 + 32, &t); /* puts t in ell64[32..64] */
+
+ secp256k1_memczero(ell64, 64, !ret);
+ secp256k1_scalar_clear(&seckey_scalar);
+
+ return ret;
+}
+
+int secp256k1_ellswift_decode(const secp256k1_context *ctx, secp256k1_pubkey *pubkey, const unsigned char *ell64) {
+ secp256k1_fe u, t;
+ secp256k1_ge p;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(pubkey != NULL);
+ ARG_CHECK(ell64 != NULL);
+
+ secp256k1_fe_set_b32_mod(&u, ell64);
+ secp256k1_fe_set_b32_mod(&t, ell64 + 32);
+ secp256k1_fe_normalize_var(&t);
+ secp256k1_ellswift_swiftec_var(&p, &u, &t);
+ secp256k1_pubkey_save(pubkey, &p);
+ return 1;
+}
+
+static int ellswift_xdh_hash_function_prefix(unsigned char *output, const unsigned char *x32, const unsigned char *ell_a64, const unsigned char *ell_b64, void *data) {
+ secp256k1_sha256 sha;
+
+ secp256k1_sha256_initialize(&sha);
+ secp256k1_sha256_write(&sha, data, 64);
+ secp256k1_sha256_write(&sha, ell_a64, 64);
+ secp256k1_sha256_write(&sha, ell_b64, 64);
+ secp256k1_sha256_write(&sha, x32, 32);
+ secp256k1_sha256_finalize(&sha, output);
+ secp256k1_sha256_clear(&sha);
+
+ return 1;
+}
+
+/** Set hash state to the BIP340 tagged hash midstate for "bip324_ellswift_xonly_ecdh". */
+static void secp256k1_ellswift_sha256_init_bip324(secp256k1_sha256* hash) {
+ secp256k1_sha256_initialize(hash);
+ hash->s[0] = 0x8c12d730ul;
+ hash->s[1] = 0x827bd392ul;
+ hash->s[2] = 0x9e4fb2eeul;
+ hash->s[3] = 0x207b373eul;
+ hash->s[4] = 0x2292bd7aul;
+ hash->s[5] = 0xaa5441bcul;
+ hash->s[6] = 0x15c3779ful;
+ hash->s[7] = 0xcfb52549ul;
+
+ hash->bytes = 64;
+}
+
+static int ellswift_xdh_hash_function_bip324(unsigned char* output, const unsigned char *x32, const unsigned char *ell_a64, const unsigned char *ell_b64, void *data) {
+ secp256k1_sha256 sha;
+
+ (void)data;
+
+ secp256k1_ellswift_sha256_init_bip324(&sha);
+ secp256k1_sha256_write(&sha, ell_a64, 64);
+ secp256k1_sha256_write(&sha, ell_b64, 64);
+ secp256k1_sha256_write(&sha, x32, 32);
+ secp256k1_sha256_finalize(&sha, output);
+ secp256k1_sha256_clear(&sha);
+
+ return 1;
+}
+
+const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_prefix = ellswift_xdh_hash_function_prefix;
+const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_bip324 = ellswift_xdh_hash_function_bip324;
+
+int secp256k1_ellswift_xdh(const secp256k1_context *ctx, unsigned char *output, const unsigned char *ell_a64, const unsigned char *ell_b64, const unsigned char *seckey32, int party, secp256k1_ellswift_xdh_hash_function hashfp, void *data) {
+ int ret = 0;
+ int overflow;
+ secp256k1_scalar s;
+ secp256k1_fe xn, xd, px, u, t;
+ unsigned char sx[32];
+ const unsigned char* theirs64;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(output != NULL);
+ ARG_CHECK(ell_a64 != NULL);
+ ARG_CHECK(ell_b64 != NULL);
+ ARG_CHECK(seckey32 != NULL);
+ ARG_CHECK(hashfp != NULL);
+
+ /* Load remote public key (as fraction). */
+ theirs64 = party ? ell_a64 : ell_b64;
+ secp256k1_fe_set_b32_mod(&u, theirs64);
+ secp256k1_fe_set_b32_mod(&t, theirs64 + 32);
+ secp256k1_ellswift_xswiftec_frac_var(&xn, &xd, &u, &t);
+
+ /* Load private key (using one if invalid). */
+ secp256k1_scalar_set_b32(&s, seckey32, &overflow);
+ overflow = secp256k1_scalar_is_zero(&s);
+ secp256k1_scalar_cmov(&s, &secp256k1_scalar_one, overflow);
+
+ /* Compute shared X coordinate. */
+ secp256k1_ecmult_const_xonly(&px, &xn, &xd, &s, 1);
+ secp256k1_fe_normalize(&px);
+ secp256k1_fe_get_b32(sx, &px);
+
+ /* Invoke hasher */
+ ret = hashfp(output, sx, ell_a64, ell_b64, data);
+
+ secp256k1_memclear(sx, sizeof(sx));
+ secp256k1_fe_clear(&px);
+ secp256k1_scalar_clear(&s);
+
+ return !!ret & !overflow;
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/tests_exhaustive_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/tests_exhaustive_impl.h
new file mode 100644
index 00000000..839c24ae
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/tests_exhaustive_impl.h
@@ -0,0 +1,39 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_ELLSWIFT_TESTS_EXHAUSTIVE_H
+#define SECP256K1_MODULE_ELLSWIFT_TESTS_EXHAUSTIVE_H
+
+#include "../../../include/secp256k1_ellswift.h"
+#include "main_impl.h"
+
+static void test_exhaustive_ellswift(const secp256k1_context *ctx, const secp256k1_ge *group) {
+ int i;
+
+ /* Note that SwiftEC/ElligatorSwift are inherently curve operations, not
+ * group operations, and this test only checks the curve points which are in
+ * a tiny subgroup. In that sense it can't be really seen as exhaustive as
+ * it doesn't (and for computational reasons obviously cannot) test the
+ * entire domain ellswift operates under. */
+ for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) {
+ secp256k1_scalar scalar_i;
+ unsigned char sec32[32];
+ unsigned char ell64[64];
+ secp256k1_pubkey pub_decoded;
+ secp256k1_ge ge_decoded;
+
+ /* Construct ellswift pubkey from exhaustive loop scalar i. */
+ secp256k1_scalar_set_int(&scalar_i, i);
+ secp256k1_scalar_get_b32(sec32, &scalar_i);
+ CHECK(secp256k1_ellswift_create(ctx, ell64, sec32, NULL));
+
+ /* Decode ellswift pubkey and check that it matches the precomputed group element. */
+ secp256k1_ellswift_decode(ctx, &pub_decoded, ell64);
+ secp256k1_pubkey_load(ctx, &ge_decoded, &pub_decoded);
+ CHECK(secp256k1_ge_eq_var(&ge_decoded, &group[i]));
+ }
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/tests_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/tests_impl.h
new file mode 100644
index 00000000..3c314c9b
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/ellswift/tests_impl.h
@@ -0,0 +1,436 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_ELLSWIFT_TESTS_H
+#define SECP256K1_MODULE_ELLSWIFT_TESTS_H
+
+#include "../../../include/secp256k1_ellswift.h"
+
+struct ellswift_xswiftec_inv_test {
+ int enc_bitmap;
+ secp256k1_fe u;
+ secp256k1_fe x;
+ secp256k1_fe encs[8];
+};
+
+struct ellswift_decode_test {
+ unsigned char enc[64];
+ secp256k1_fe x;
+ int odd_y;
+};
+
+struct ellswift_xdh_test {
+ unsigned char priv_ours[32];
+ unsigned char ellswift_ours[64];
+ unsigned char ellswift_theirs[64];
+ int initiating;
+ unsigned char shared_secret[32];
+};
+
+/* Set of (point, encodings) test vectors, selected to maximize branch coverage, part of the BIP324
+ * test vectors. Created using an independent implementation, and tested decoding against paper
+ * authors' code. */
+static const struct ellswift_xswiftec_inv_test ellswift_xswiftec_inv_tests[] = {
+ {0xcc, SECP256K1_FE_CONST(0x05ff6bda, 0xd900fc32, 0x61bc7fe3, 0x4e2fb0f5, 0x69f06e09, 0x1ae437d3, 0xa52e9da0, 0xcbfb9590), SECP256K1_FE_CONST(0x80cdf637, 0x74ec7022, 0xc89a5a85, 0x58e373a2, 0x79170285, 0xe0ab2741, 0x2dbce510, 0xbdfe23fc), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x45654798, 0xece071ba, 0x79286d04, 0xf7f3eb1c, 0x3f1d17dd, 0x883610f2, 0xad2efd82, 0xa287466b), SECP256K1_FE_CONST(0x0aeaa886, 0xf6b76c71, 0x58452418, 0xcbf5033a, 0xdc5747e9, 0xe9b5d3b2, 0x303db969, 0x36528557), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xba9ab867, 0x131f8e45, 0x86d792fb, 0x080c14e3, 0xc0e2e822, 0x77c9ef0d, 0x52d1027c, 0x5d78b5c4), SECP256K1_FE_CONST(0xf5155779, 0x0948938e, 0xa7badbe7, 0x340afcc5, 0x23a8b816, 0x164a2c4d, 0xcfc24695, 0xc9ad76d8)}},
+ {0x33, SECP256K1_FE_CONST(0x1737a85f, 0x4c8d146c, 0xec96e3ff, 0xdca76d99, 0x03dcf3bd, 0x53061868, 0xd478c78c, 0x63c2aa9e), SECP256K1_FE_CONST(0x39e48dd1, 0x50d2f429, 0xbe088dfd, 0x5b61882e, 0x7e840748, 0x3702ae9a, 0x5ab35927, 0xb15f85ea), {SECP256K1_FE_CONST(0x1be8cc0b, 0x04be0c68, 0x1d0c6a68, 0xf733f82c, 0x6c896e0c, 0x8a262fcd, 0x392918e3, 0x03a7abf4), SECP256K1_FE_CONST(0x605b5814, 0xbf9b8cb0, 0x66667c9e, 0x5480d22d, 0xc5b6c92f, 0x14b4af3e, 0xe0a9eb83, 0xb03685e3), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xe41733f4, 0xfb41f397, 0xe2f39597, 0x08cc07d3, 0x937691f3, 0x75d9d032, 0xc6d6e71b, 0xfc58503b), SECP256K1_FE_CONST(0x9fa4a7eb, 0x4064734f, 0x99998361, 0xab7f2dd2, 0x3a4936d0, 0xeb4b50c1, 0x1f56147b, 0x4fc9764c), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x00, SECP256K1_FE_CONST(0x1aaa1cce, 0xbf9c7241, 0x91033df3, 0x66b36f69, 0x1c4d902c, 0x228033ff, 0x4516d122, 0xb2564f68), SECP256K1_FE_CONST(0xc7554125, 0x9d3ba98f, 0x207eaa30, 0xc69634d1, 0x87d0b6da, 0x594e719e, 0x420f4898, 0x638fc5b0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x33, SECP256K1_FE_CONST(0x2323a1d0, 0x79b0fd72, 0xfc8bb62e, 0xc34230a8, 0x15cb0596, 0xc2bfac99, 0x8bd6b842, 0x60f5dc26), SECP256K1_FE_CONST(0x239342df, 0xb675500a, 0x34a19631, 0x0b8d87d5, 0x4f49dcac, 0x9da50c17, 0x43ceab41, 0xa7b249ff), {SECP256K1_FE_CONST(0xf63580b8, 0xaa49c484, 0x6de56e39, 0xe1b3e73f, 0x171e881e, 0xba8c66f6, 0x14e67e5c, 0x975dfc07), SECP256K1_FE_CONST(0xb6307b33, 0x2e699f1c, 0xf77841d9, 0x0af25365, 0x404deb7f, 0xed5edb30, 0x90db49e6, 0x42a156b6), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x09ca7f47, 0x55b63b7b, 0x921a91c6, 0x1e4c18c0, 0xe8e177e1, 0x45739909, 0xeb1981a2, 0x68a20028), SECP256K1_FE_CONST(0x49cf84cc, 0xd19660e3, 0x0887be26, 0xf50dac9a, 0xbfb21480, 0x12a124cf, 0x6f24b618, 0xbd5ea579), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x33, SECP256K1_FE_CONST(0x2dc90e64, 0x0cb646ae, 0x9164c0b5, 0xa9ef0169, 0xfebe34dc, 0x4437d6e4, 0x6acb0e27, 0xe219d1e8), SECP256K1_FE_CONST(0xd236f19b, 0xf349b951, 0x6e9b3f4a, 0x5610fe96, 0x0141cb23, 0xbbc8291b, 0x9534f1d7, 0x1de62a47), {SECP256K1_FE_CONST(0xe69df7d9, 0xc026c366, 0x00ebdf58, 0x80726758, 0x47c0c431, 0xc8eb7306, 0x82533e96, 0x4b6252c9), SECP256K1_FE_CONST(0x4f18bbdf, 0x7c2d6c5f, 0x818c1880, 0x2fa35cd0, 0x69eaa79f, 0xff74e4fc, 0x837c80d9, 0x3fece2f8), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x19620826, 0x3fd93c99, 0xff1420a7, 0x7f8d98a7, 0xb83f3bce, 0x37148cf9, 0x7dacc168, 0xb49da966), SECP256K1_FE_CONST(0xb0e74420, 0x83d293a0, 0x7e73e77f, 0xd05ca32f, 0x96155860, 0x008b1b03, 0x7c837f25, 0xc0131937), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0xcc, SECP256K1_FE_CONST(0x3edd7b39, 0x80e2f2f3, 0x4d1409a2, 0x07069f88, 0x1fda5f96, 0xf08027ac, 0x4465b63d, 0xc278d672), SECP256K1_FE_CONST(0x053a98de, 0x4a27b196, 0x1155822b, 0x3a3121f0, 0x3b2a1445, 0x8bd80eb4, 0xa560c4c7, 0xa85c149c), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb3dae4b7, 0xdcf858e4, 0xc6968057, 0xcef2b156, 0x46543152, 0x6538199c, 0xf52dc1b2, 0xd62fda30), SECP256K1_FE_CONST(0x4aa77dd5, 0x5d6b6d3c, 0xfa10cc9d, 0x0fe42f79, 0x232e4575, 0x661049ae, 0x36779c1d, 0x0c666d88), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x4c251b48, 0x2307a71b, 0x39697fa8, 0x310d4ea9, 0xb9abcead, 0x9ac7e663, 0x0ad23e4c, 0x29d021ff), SECP256K1_FE_CONST(0xb558822a, 0xa29492c3, 0x05ef3362, 0xf01bd086, 0xdcd1ba8a, 0x99efb651, 0xc98863e1, 0xf3998ea7)}},
+ {0x00, SECP256K1_FE_CONST(0x4295737e, 0xfcb1da6f, 0xb1d96b9c, 0xa7dcd1e3, 0x20024b37, 0xa736c494, 0x8b625981, 0x73069f70), SECP256K1_FE_CONST(0xfa7ffe4f, 0x25f88362, 0x831c087a, 0xfe2e8a9b, 0x0713e2ca, 0xc1ddca6a, 0x383205a2, 0x66f14307), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0xff, SECP256K1_FE_CONST(0x587c1a0c, 0xee91939e, 0x7f784d23, 0xb963004a, 0x3bf44f5d, 0x4e32a008, 0x1995ba20, 0xb0fca59e), SECP256K1_FE_CONST(0x2ea98853, 0x0715e8d1, 0x0363907f, 0xf2512452, 0x4d471ba2, 0x454d5ce3, 0xbe3f0419, 0x4dfd3a3c), {SECP256K1_FE_CONST(0xcfd5a094, 0xaa0b9b88, 0x91b76c6a, 0xb9438f66, 0xaa1c095a, 0x65f9f701, 0x35e81712, 0x92245e74), SECP256K1_FE_CONST(0xa89057d7, 0xc6563f0d, 0x6efa19ae, 0x84412b8a, 0x7b47e791, 0xa191ecdf, 0xdf2af84f, 0xd97bc339), SECP256K1_FE_CONST(0x475d0ae9, 0xef46920d, 0xf07b3411, 0x7be5a081, 0x7de1023e, 0x3cc32689, 0xe9be145b, 0x406b0aef), SECP256K1_FE_CONST(0xa0759178, 0xad802324, 0x54f827ef, 0x05ea3e72, 0xad8d7541, 0x8e6d4cc1, 0xcd4f5306, 0xc5e7c453), SECP256K1_FE_CONST(0x302a5f6b, 0x55f46477, 0x6e489395, 0x46bc7099, 0x55e3f6a5, 0x9a0608fe, 0xca17e8ec, 0x6ddb9dbb), SECP256K1_FE_CONST(0x576fa828, 0x39a9c0f2, 0x9105e651, 0x7bbed475, 0x84b8186e, 0x5e6e1320, 0x20d507af, 0x268438f6), SECP256K1_FE_CONST(0xb8a2f516, 0x10b96df2, 0x0f84cbee, 0x841a5f7e, 0x821efdc1, 0xc33cd976, 0x1641eba3, 0xbf94f140), SECP256K1_FE_CONST(0x5f8a6e87, 0x527fdcdb, 0xab07d810, 0xfa15c18d, 0x52728abe, 0x7192b33e, 0x32b0acf8, 0x3a1837dc)}},
+ {0xcc, SECP256K1_FE_CONST(0x5fa88b33, 0x65a635cb, 0xbcee003c, 0xce9ef51d, 0xd1a310de, 0x277e441a, 0xbccdb7be, 0x1e4ba249), SECP256K1_FE_CONST(0x79461ff6, 0x2bfcbcac, 0x4249ba84, 0xdd040f2c, 0xec3c63f7, 0x25204dc7, 0xf464c16b, 0xf0ff3170), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x6bb700e1, 0xf4d7e236, 0xe8d193ff, 0x4a76c1b3, 0xbcd4e2b2, 0x5acac3d5, 0x1c8dac65, 0x3fe909a0), SECP256K1_FE_CONST(0xf4c73410, 0x633da7f6, 0x3a4f1d55, 0xaec6dd32, 0xc4c6d89e, 0xe74075ed, 0xb5515ed9, 0x0da9e683), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x9448ff1e, 0x0b281dc9, 0x172e6c00, 0xb5893e4c, 0x432b1d4d, 0xa5353c2a, 0xe3725399, 0xc016f28f), SECP256K1_FE_CONST(0x0b38cbef, 0x9cc25809, 0xc5b0e2aa, 0x513922cd, 0x3b392761, 0x18bf8a12, 0x4aaea125, 0xf25615ac)}},
+ {0xcc, SECP256K1_FE_CONST(0x6fb31c75, 0x31f03130, 0xb42b155b, 0x952779ef, 0xbb46087d, 0xd9807d24, 0x1a48eac6, 0x3c3d96d6), SECP256K1_FE_CONST(0x56f81be7, 0x53e8d4ae, 0x4940ea6f, 0x46f6ec9f, 0xda66a6f9, 0x6cc95f50, 0x6cb2b574, 0x90e94260), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x59059774, 0x795bdb7a, 0x837fbe11, 0x40a5fa59, 0x984f48af, 0x8df95d57, 0xdd6d1c05, 0x437dcec1), SECP256K1_FE_CONST(0x22a644db, 0x79376ad4, 0xe7b3a009, 0xe58b3f13, 0x137c54fd, 0xf911122c, 0xc93667c4, 0x7077d784), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xa6fa688b, 0x86a42485, 0x7c8041ee, 0xbf5a05a6, 0x67b0b750, 0x7206a2a8, 0x2292e3f9, 0xbc822d6e), SECP256K1_FE_CONST(0xdd59bb24, 0x86c8952b, 0x184c5ff6, 0x1a74c0ec, 0xec83ab02, 0x06eeedd3, 0x36c9983a, 0x8f8824ab)}},
+ {0x00, SECP256K1_FE_CONST(0x704cd226, 0xe71cb682, 0x6a590e80, 0xdac90f2d, 0x2f5830f0, 0xfdf135a3, 0xeae3965b, 0xff25ff12), SECP256K1_FE_CONST(0x138e0afa, 0x68936ee6, 0x70bd2b8d, 0xb53aedbb, 0x7bea2a85, 0x97388b24, 0xd0518edd, 0x22ad66ec), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x33, SECP256K1_FE_CONST(0x725e9147, 0x92cb8c89, 0x49e7e116, 0x8b7cdd8a, 0x8094c91c, 0x6ec2202c, 0xcd53a6a1, 0x8771edeb), SECP256K1_FE_CONST(0x8da16eb8, 0x6d347376, 0xb6181ee9, 0x74832275, 0x7f6b36e3, 0x913ddfd3, 0x32ac595d, 0x788e0e44), {SECP256K1_FE_CONST(0xdd357786, 0xb9f68733, 0x30391aa5, 0x62580965, 0x4e43116e, 0x82a5a5d8, 0x2ffd1d66, 0x24101fc4), SECP256K1_FE_CONST(0xa0b7efca, 0x01814594, 0xc59c9aae, 0x8e497001, 0x86ca5d95, 0xe88bcc80, 0x399044d9, 0xc2d8613d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x22ca8879, 0x460978cc, 0xcfc6e55a, 0x9da7f69a, 0xb1bcee91, 0x7d5a5a27, 0xd002e298, 0xdbefdc6b), SECP256K1_FE_CONST(0x5f481035, 0xfe7eba6b, 0x3a636551, 0x71b68ffe, 0x7935a26a, 0x1774337f, 0xc66fbb25, 0x3d279af2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x00, SECP256K1_FE_CONST(0x78fe6b71, 0x7f2ea4a3, 0x2708d79c, 0x151bf503, 0xa5312a18, 0xc0963437, 0xe865cc6e, 0xd3f6ae97), SECP256K1_FE_CONST(0x8701948e, 0x80d15b5c, 0xd8f72863, 0xeae40afc, 0x5aced5e7, 0x3f69cbc8, 0x179a3390, 0x2c094d98), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x44, SECP256K1_FE_CONST(0x7c37bb9c, 0x5061dc07, 0x413f11ac, 0xd5a34006, 0xe64c5c45, 0x7fdb9a43, 0x8f217255, 0xa961f50d), SECP256K1_FE_CONST(0x5c1a76b4, 0x4568eb59, 0xd6789a74, 0x42d9ed7c, 0xdc6226b7, 0x752b4ff8, 0xeaf8e1a9, 0x5736e507), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb94d30cd, 0x7dbff60b, 0x64620c17, 0xca0fafaa, 0x40b3d1f5, 0x2d077a60, 0xa2e0cafd, 0x145086c2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x46b2cf32, 0x824009f4, 0x9b9df3e8, 0x35f05055, 0xbf4c2e0a, 0xd2f8859f, 0x5d1f3501, 0xebaf756d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x00, SECP256K1_FE_CONST(0x82388888, 0x967f82a6, 0xb444438a, 0x7d44838e, 0x13c0d478, 0xb9ca060d, 0xa95a41fb, 0x94303de6), SECP256K1_FE_CONST(0x29e96541, 0x70628fec, 0x8b497289, 0x8b113cf9, 0x8807f460, 0x9274f4f3, 0x140d0674, 0x157c90a0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x33, SECP256K1_FE_CONST(0x91298f57, 0x70af7a27, 0xf0a47188, 0xd24c3b7b, 0xf98ab299, 0x0d84b0b8, 0x98507e3c, 0x561d6472), SECP256K1_FE_CONST(0x144f4ccb, 0xd9a74698, 0xa88cbf6f, 0xd00ad886, 0xd339d29e, 0xa19448f2, 0xc572cac0, 0xa07d5562), {SECP256K1_FE_CONST(0xe6a0ffa3, 0x807f09da, 0xdbe71e0f, 0x4be4725f, 0x2832e76c, 0xad8dc1d9, 0x43ce8393, 0x75eff248), SECP256K1_FE_CONST(0x837b8e68, 0xd4917544, 0x764ad090, 0x3cb11f86, 0x15d2823c, 0xefbb06d8, 0x9049dbab, 0xc69befda), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x195f005c, 0x7f80f625, 0x2418e1f0, 0xb41b8da0, 0xd7cd1893, 0x52723e26, 0xbc317c6b, 0x8a1009e7), SECP256K1_FE_CONST(0x7c847197, 0x2b6e8abb, 0x89b52f6f, 0xc34ee079, 0xea2d7dc3, 0x1044f927, 0x6fb62453, 0x39640c55), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x00, SECP256K1_FE_CONST(0xb682f3d0, 0x3bbb5dee, 0x4f54b5eb, 0xfba931b4, 0xf52f6a19, 0x1e5c2f48, 0x3c73c66e, 0x9ace97e1), SECP256K1_FE_CONST(0x904717bf, 0x0bc0cb78, 0x73fcdc38, 0xaa97f19e, 0x3a626309, 0x72acff92, 0xb24cc6dd, 0xa197cb96), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x77, SECP256K1_FE_CONST(0xc17ec69e, 0x665f0fb0, 0xdbab48d9, 0xc2f94d12, 0xec8a9d7e, 0xacb58084, 0x83309180, 0x1eb0b80b), SECP256K1_FE_CONST(0x147756e6, 0x6d96e31c, 0x426d3cc8, 0x5ed0c4cf, 0xbef6341d, 0xd8b28558, 0x5aa574ea, 0x0204b55e), {SECP256K1_FE_CONST(0x6f4aea43, 0x1a0043bd, 0xd03134d6, 0xd9159119, 0xce034b88, 0xc32e50e8, 0xe36c4ee4, 0x5eac7ae9), SECP256K1_FE_CONST(0xfd5be16d, 0x4ffa2690, 0x126c67c3, 0xef7cb9d2, 0x9b74d397, 0xc78b06b3, 0x605fda34, 0xdc9696a6), SECP256K1_FE_CONST(0x5e9c6079, 0x2a2f000e, 0x45c6250f, 0x296f875e, 0x174efc0e, 0x9703e628, 0x706103a9, 0xdd2d82c7), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x90b515bc, 0xe5ffbc42, 0x2fcecb29, 0x26ea6ee6, 0x31fcb477, 0x3cd1af17, 0x1c93b11a, 0xa1538146), SECP256K1_FE_CONST(0x02a41e92, 0xb005d96f, 0xed93983c, 0x1083462d, 0x648b2c68, 0x3874f94c, 0x9fa025ca, 0x23696589), SECP256K1_FE_CONST(0xa1639f86, 0xd5d0fff1, 0xba39daf0, 0xd69078a1, 0xe8b103f1, 0x68fc19d7, 0x8f9efc55, 0x22d27968), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0xcc, SECP256K1_FE_CONST(0xc25172fc, 0x3f29b6fc, 0x4a1155b8, 0x57523315, 0x5486b274, 0x64b74b8b, 0x260b499a, 0x3f53cb14), SECP256K1_FE_CONST(0x1ea9cbdb, 0x35cf6e03, 0x29aa31b0, 0xbb0a702a, 0x65123ed0, 0x08655a93, 0xb7dcd528, 0x0e52e1ab), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x7422edc7, 0x843136af, 0x0053bb88, 0x54448a82, 0x99994f9d, 0xdcefd3a9, 0xa92d4546, 0x2c59298a), SECP256K1_FE_CONST(0x78c7774a, 0x266f8b97, 0xea23d05d, 0x064f033c, 0x77319f92, 0x3f6b78bc, 0xe4e20bf0, 0x5fa5398d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x8bdd1238, 0x7bcec950, 0xffac4477, 0xabbb757d, 0x6666b062, 0x23102c56, 0x56d2bab8, 0xd3a6d2a5), SECP256K1_FE_CONST(0x873888b5, 0xd9907468, 0x15dc2fa2, 0xf9b0fcc3, 0x88ce606d, 0xc0948743, 0x1b1df40e, 0xa05ac2a2)}},
+ {0x00, SECP256K1_FE_CONST(0xcab6626f, 0x832a4b12, 0x80ba7add, 0x2fc5322f, 0xf011caed, 0xedf7ff4d, 0xb6735d50, 0x26dc0367), SECP256K1_FE_CONST(0x2b2bef08, 0x52c6f7c9, 0x5d72ac99, 0xa23802b8, 0x75029cd5, 0x73b248d1, 0xf1b3fc80, 0x33788eb6), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x33, SECP256K1_FE_CONST(0xd8621b4f, 0xfc85b9ed, 0x56e99d8d, 0xd1dd24ae, 0xdcecb147, 0x63b861a1, 0x7112dc77, 0x1a104fd2), SECP256K1_FE_CONST(0x812cabe9, 0x72a22aa6, 0x7c7da0c9, 0x4d8a9362, 0x96eb9949, 0xd70c37cb, 0x2b248757, 0x4cb3ce58), {SECP256K1_FE_CONST(0xfbc5febc, 0x6fdbc9ae, 0x3eb88a93, 0xb982196e, 0x8b6275a6, 0xd5a73c17, 0x387e000c, 0x711bd0e3), SECP256K1_FE_CONST(0x8724c96b, 0xd4e5527f, 0x2dd195a5, 0x1c468d2d, 0x211ba2fa, 0xc7cbe0b4, 0xb3434253, 0x409fb42d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x043a0143, 0x90243651, 0xc147756c, 0x467de691, 0x749d8a59, 0x2a58c3e8, 0xc781fff2, 0x8ee42b4c), SECP256K1_FE_CONST(0x78db3694, 0x2b1aad80, 0xd22e6a5a, 0xe3b972d2, 0xdee45d05, 0x38341f4b, 0x4cbcbdab, 0xbf604802), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x00, SECP256K1_FE_CONST(0xda463164, 0xc6f4bf71, 0x29ee5f0e, 0xc00f65a6, 0x75a8adf1, 0xbd931b39, 0xb64806af, 0xdcda9a22), SECP256K1_FE_CONST(0x25b9ce9b, 0x390b408e, 0xd611a0f1, 0x3ff09a59, 0x8a57520e, 0x426ce4c6, 0x49b7f94f, 0x2325620d), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0xcc, SECP256K1_FE_CONST(0xdafc971e, 0x4a3a7b6d, 0xcfb42a08, 0xd9692d82, 0xad9e7838, 0x523fcbda, 0x1d4827e1, 0x4481ae2d), SECP256K1_FE_CONST(0x250368e1, 0xb5c58492, 0x304bd5f7, 0x2696d27d, 0x526187c7, 0xadc03425, 0xe2b7d81d, 0xbb7e4e02), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x370c28f1, 0xbe665efa, 0xcde6aa43, 0x6bf86fe2, 0x1e6e314c, 0x1e53dd04, 0x0e6c73a4, 0x6b4c8c49), SECP256K1_FE_CONST(0xcd8acee9, 0x8ffe5653, 0x1a84d7eb, 0x3e48fa40, 0x34206ce8, 0x25ace907, 0xd0edf0ea, 0xeb5e9ca2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xc8f3d70e, 0x4199a105, 0x321955bc, 0x9407901d, 0xe191ceb3, 0xe1ac22fb, 0xf1938c5a, 0x94b36fe6), SECP256K1_FE_CONST(0x32753116, 0x7001a9ac, 0xe57b2814, 0xc1b705bf, 0xcbdf9317, 0xda5316f8, 0x2f120f14, 0x14a15f8d)}},
+ {0x44, SECP256K1_FE_CONST(0xe0294c8b, 0xc1a36b41, 0x66ee92bf, 0xa70a5c34, 0x976fa982, 0x9405efea, 0x8f9cd54d, 0xcb29b99e), SECP256K1_FE_CONST(0xae9690d1, 0x3b8d20a0, 0xfbbf37be, 0xd8474f67, 0xa04e142f, 0x56efd787, 0x70a76b35, 0x9165d8a1), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xdcd45d93, 0x5613916a, 0xf167b029, 0x058ba3a7, 0x00d37150, 0xb9df3472, 0x8cb05412, 0xc16d4182), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x232ba26c, 0xa9ec6e95, 0x0e984fd6, 0xfa745c58, 0xff2c8eaf, 0x4620cb8d, 0x734fabec, 0x3e92baad), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0x00, SECP256K1_FE_CONST(0xe148441c, 0xd7b92b8b, 0x0e4fa3bd, 0x68712cfd, 0x0d709ad1, 0x98cace61, 0x1493c10e, 0x97f5394e), SECP256K1_FE_CONST(0x164a6397, 0x94d74c53, 0xafc4d329, 0x4e79cdb3, 0xcd25f99f, 0x6df45c00, 0x0f758aba, 0x54d699c0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0xff, SECP256K1_FE_CONST(0xe4b00ec9, 0x7aadcca9, 0x7644d3b0, 0xc8a931b1, 0x4ce7bcf7, 0xbc877954, 0x6d6e35aa, 0x5937381c), SECP256K1_FE_CONST(0x94e9588d, 0x41647b3f, 0xcc772dc8, 0xd83c67ce, 0x3be00353, 0x8517c834, 0x103d2cd4, 0x9d62ef4d), {SECP256K1_FE_CONST(0xc88d25f4, 0x1407376b, 0xb2c03a7f, 0xffeb3ec7, 0x811cc434, 0x91a0c3aa, 0xc0378cdc, 0x78357bee), SECP256K1_FE_CONST(0x51c02636, 0xce00c234, 0x5ecd89ad, 0xb6089fe4, 0xd5e18ac9, 0x24e3145e, 0x6669501c, 0xd37a00d4), SECP256K1_FE_CONST(0x205b3512, 0xdb40521c, 0xb200952e, 0x67b46f67, 0xe09e7839, 0xe0de4400, 0x4138329e, 0xbd9138c5), SECP256K1_FE_CONST(0x58aab390, 0xab6fb55c, 0x1d1b8089, 0x7a207ce9, 0x4a78fa5b, 0x4aa61a33, 0x398bcae9, 0xadb20d3e), SECP256K1_FE_CONST(0x3772da0b, 0xebf8c894, 0x4d3fc580, 0x0014c138, 0x7ee33bcb, 0x6e5f3c55, 0x3fc87322, 0x87ca8041), SECP256K1_FE_CONST(0xae3fd9c9, 0x31ff3dcb, 0xa1327652, 0x49f7601b, 0x2a1e7536, 0xdb1ceba1, 0x9996afe2, 0x2c85fb5b), SECP256K1_FE_CONST(0xdfa4caed, 0x24bfade3, 0x4dff6ad1, 0x984b9098, 0x1f6187c6, 0x1f21bbff, 0xbec7cd60, 0x426ec36a), SECP256K1_FE_CONST(0xa7554c6f, 0x54904aa3, 0xe2e47f76, 0x85df8316, 0xb58705a4, 0xb559e5cc, 0xc6743515, 0x524deef1)}},
+ {0x00, SECP256K1_FE_CONST(0xe5bbb9ef, 0x360d0a50, 0x1618f006, 0x7d36dceb, 0x75f5be9a, 0x620232aa, 0x9fd5139d, 0x0863fde5), SECP256K1_FE_CONST(0xe5bbb9ef, 0x360d0a50, 0x1618f006, 0x7d36dceb, 0x75f5be9a, 0x620232aa, 0x9fd5139d, 0x0863fde5), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0xff, SECP256K1_FE_CONST(0xe6bcb5c3, 0xd63467d4, 0x90bfa54f, 0xbbc6092a, 0x7248c25e, 0x11b248dc, 0x2964a6e1, 0x5edb1457), SECP256K1_FE_CONST(0x19434a3c, 0x29cb982b, 0x6f405ab0, 0x4439f6d5, 0x8db73da1, 0xee4db723, 0xd69b591d, 0xa124e7d8), {SECP256K1_FE_CONST(0x67119877, 0x832ab8f4, 0x59a82165, 0x6d8261f5, 0x44a553b8, 0x9ae4f25c, 0x52a97134, 0xb70f3426), SECP256K1_FE_CONST(0xffee02f5, 0xe649c07f, 0x0560eff1, 0x867ec7b3, 0x2d0e595e, 0x9b1c0ea6, 0xe2a4fc70, 0xc97cd71f), SECP256K1_FE_CONST(0xb5e0c189, 0xeb5b4bac, 0xd025b744, 0x4d74178b, 0xe8d5246c, 0xfa4a9a20, 0x7964a057, 0xee969992), SECP256K1_FE_CONST(0x5746e459, 0x1bf7f4c3, 0x044609ea, 0x372e9086, 0x03975d27, 0x9fdef834, 0x9f0b08d3, 0x2f07619d), SECP256K1_FE_CONST(0x98ee6788, 0x7cd5470b, 0xa657de9a, 0x927d9e0a, 0xbb5aac47, 0x651b0da3, 0xad568eca, 0x48f0c809), SECP256K1_FE_CONST(0x0011fd0a, 0x19b63f80, 0xfa9f100e, 0x7981384c, 0xd2f1a6a1, 0x64e3f159, 0x1d5b038e, 0x36832510), SECP256K1_FE_CONST(0x4a1f3e76, 0x14a4b453, 0x2fda48bb, 0xb28be874, 0x172adb93, 0x05b565df, 0x869b5fa7, 0x1169629d), SECP256K1_FE_CONST(0xa8b91ba6, 0xe4080b3c, 0xfbb9f615, 0xc8d16f79, 0xfc68a2d8, 0x602107cb, 0x60f4f72b, 0xd0f89a92)}},
+ {0x33, SECP256K1_FE_CONST(0xf28fba64, 0xaf766845, 0xeb2f4302, 0x456e2b9f, 0x8d80affe, 0x57e7aae4, 0x2738d7cd, 0xdb1c2ce6), SECP256K1_FE_CONST(0xf28fba64, 0xaf766845, 0xeb2f4302, 0x456e2b9f, 0x8d80affe, 0x57e7aae4, 0x2738d7cd, 0xdb1c2ce6), {SECP256K1_FE_CONST(0x4f867ad8, 0xbb3d8404, 0x09d26b67, 0x307e6210, 0x0153273f, 0x72fa4b74, 0x84becfa1, 0x4ebe7408), SECP256K1_FE_CONST(0x5bbc4f59, 0xe452cc5f, 0x22a99144, 0xb10ce898, 0x9a89a995, 0xec3cea1c, 0x91ae10e8, 0xf721bb5d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb0798527, 0x44c27bfb, 0xf62d9498, 0xcf819def, 0xfeacd8c0, 0x8d05b48b, 0x7b41305d, 0xb1418827), SECP256K1_FE_CONST(0xa443b0a6, 0x1bad33a0, 0xdd566ebb, 0x4ef31767, 0x6576566a, 0x13c315e3, 0x6e51ef16, 0x08de40d2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+ {0xcc, SECP256K1_FE_CONST(0xf455605b, 0xc85bf48e, 0x3a908c31, 0x023faf98, 0x381504c6, 0xc6d3aeb9, 0xede55f8d, 0xd528924d), SECP256K1_FE_CONST(0xd31fbcd5, 0xcdb798f6, 0xc00db669, 0x2f8fe896, 0x7fa9c79d, 0xd10958f4, 0xa194f013, 0x74905e99), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x0c00c571, 0x5b56fe63, 0x2d814ad8, 0xa77f8e66, 0x628ea47a, 0x6116834f, 0x8c1218f3, 0xa03cbd50), SECP256K1_FE_CONST(0xdf88e44f, 0xac84fa52, 0xdf4d59f4, 0x8819f18f, 0x6a8cd415, 0x1d162afa, 0xf773166f, 0x57c7ff46), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xf3ff3a8e, 0xa4a9019c, 0xd27eb527, 0x58807199, 0x9d715b85, 0x9ee97cb0, 0x73ede70b, 0x5fc33edf), SECP256K1_FE_CONST(0x20771bb0, 0x537b05ad, 0x20b2a60b, 0x77e60e70, 0x95732bea, 0xe2e9d505, 0x088ce98f, 0xa837fce9)}},
+ {0xff, SECP256K1_FE_CONST(0xf58cd4d9, 0x830bad32, 0x2699035e, 0x8246007d, 0x4be27e19, 0xb6f53621, 0x317b4f30, 0x9b3daa9d), SECP256K1_FE_CONST(0x78ec2b3d, 0xc0948de5, 0x60148bbc, 0x7c6dc963, 0x3ad5df70, 0xa5a5750c, 0xbed72180, 0x4f082a3b), {SECP256K1_FE_CONST(0x6c4c580b, 0x76c75940, 0x43569f9d, 0xae16dc28, 0x01c16a1f, 0xbe128608, 0x81b75f8e, 0xf929bce5), SECP256K1_FE_CONST(0x94231355, 0xe7385c5f, 0x25ca436a, 0xa6419147, 0x1aea4393, 0xd6e86ab7, 0xa35fe2af, 0xacaefd0d), SECP256K1_FE_CONST(0xdff2a195, 0x1ada6db5, 0x74df8340, 0x48149da3, 0x397a75b8, 0x29abf58c, 0x7e69db1b, 0x41ac0989), SECP256K1_FE_CONST(0xa52b66d3, 0xc9070355, 0x48028bf8, 0x04711bf4, 0x22aba95f, 0x1a666fc8, 0x6f4648e0, 0x5f29caae), SECP256K1_FE_CONST(0x93b3a7f4, 0x8938a6bf, 0xbca96062, 0x51e923d7, 0xfe3e95e0, 0x41ed79f7, 0x7e48a070, 0x06d63f4a), SECP256K1_FE_CONST(0x6bdcecaa, 0x18c7a3a0, 0xda35bc95, 0x59be6eb8, 0xe515bc6c, 0x29179548, 0x5ca01d4f, 0x5350ff22), SECP256K1_FE_CONST(0x200d5e6a, 0xe525924a, 0x8b207cbf, 0xb7eb625c, 0xc6858a47, 0xd6540a73, 0x819624e3, 0xbe53f2a6), SECP256K1_FE_CONST(0x5ad4992c, 0x36f8fcaa, 0xb7fd7407, 0xfb8ee40b, 0xdd5456a0, 0xe5999037, 0x90b9b71e, 0xa0d63181)}},
+ {0x00, SECP256K1_FE_CONST(0xfd7d912a, 0x40f182a3, 0x588800d6, 0x9ebfb504, 0x8766da20, 0x6fd7ebc8, 0xd2436c81, 0xcbef6421), SECP256K1_FE_CONST(0x8d37c862, 0x054debe7, 0x31694536, 0xff46b273, 0xec122b35, 0xa9bf1445, 0xac3c4ff9, 0xf262c952), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}},
+};
+
+/* Set of (encoding, xcoord) test vectors, selected to maximize branch coverage, part of the BIP324
+ * test vectors. Created using an independent implementation, and tested decoding against the paper
+ * authors' code. */
+static const struct ellswift_decode_test ellswift_decode_tests[] = {
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xd3, 0x47, 0x5b, 0xf7, 0x65, 0x5b, 0x0f, 0xb2, 0xd8, 0x52, 0x92, 0x10, 0x35, 0xb2, 0xef, 0x60, 0x7f, 0x49, 0x06, 0x9b, 0x97, 0x45, 0x4e, 0x67, 0x95, 0x25, 0x10, 0x62, 0x74, 0x17, 0x71}, SECP256K1_FE_CONST(0xb5da00b7, 0x3cd65605, 0x20e7c364, 0x086e7cd2, 0x3a34bf60, 0xd0e707be, 0x9fc34d4c, 0xd5fdfa2c), 1},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x82, 0x27, 0x7c, 0x4a, 0x71, 0xf9, 0xd2, 0x2e, 0x66, 0xec, 0xe5, 0x23, 0xf8, 0xfa, 0x08, 0x74, 0x1a, 0x7c, 0x09, 0x12, 0xc6, 0x6a, 0x69, 0xce, 0x68, 0x51, 0x4b, 0xfd, 0x35, 0x15, 0xb4, 0x9f}, SECP256K1_FE_CONST(0xf482f2e2, 0x41753ad0, 0xfb89150d, 0x8491dc1e, 0x34ff0b8a, 0xcfbb442c, 0xfe999e2e, 0x5e6fd1d2), 1},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x84, 0x21, 0xcc, 0x93, 0x0e, 0x77, 0xc9, 0xf5, 0x14, 0xb6, 0x91, 0x5c, 0x3d, 0xbe, 0x2a, 0x94, 0xc6, 0xd8, 0xf6, 0x90, 0xb5, 0xb7, 0x39, 0x86, 0x4b, 0xa6, 0x78, 0x9f, 0xb8, 0xa5, 0x5d, 0xd0}, SECP256K1_FE_CONST(0x9f59c402, 0x75f5085a, 0x006f05da, 0xe77eb98c, 0x6fd0db1a, 0xb4a72ac4, 0x7eae90a4, 0xfc9e57e0), 0},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xbd, 0xe7, 0x0d, 0xf5, 0x19, 0x39, 0xb9, 0x4c, 0x9c, 0x24, 0x97, 0x9f, 0xa7, 0xdd, 0x04, 0xeb, 0xd9, 0xb3, 0x57, 0x2d, 0xa7, 0x80, 0x22, 0x90, 0x43, 0x8a, 0xf2, 0xa6, 0x81, 0x89, 0x54, 0x41}, SECP256K1_FE_CONST(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaa9, 0xfffffd6b), 1},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xd1, 0x9c, 0x18, 0x2d, 0x27, 0x59, 0xcd, 0x99, 0x82, 0x42, 0x28, 0xd9, 0x47, 0x99, 0xf8, 0xc6, 0x55, 0x7c, 0x38, 0xa1, 0xc0, 0xd6, 0x77, 0x9b, 0x9d, 0x4b, 0x72, 0x9c, 0x6f, 0x1c, 0xcc, 0x42}, SECP256K1_FE_CONST(0x70720db7, 0xe238d041, 0x21f5b1af, 0xd8cc5ad9, 0xd18944c6, 0xbdc94881, 0xf502b7a3, 0xaf3aecff), 0},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x26, 0x64, 0xbb, 0xd5}, SECP256K1_FE_CONST(0x50873db3, 0x1badcc71, 0x890e4f67, 0x753a6575, 0x7f97aaa7, 0xdd5f1e82, 0xb753ace3, 0x2219064b), 0},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x70, 0x28, 0xde, 0x7d}, SECP256K1_FE_CONST(0x1eea9cc5, 0x9cfcf2fa, 0x151ac6c2, 0x74eea411, 0x0feb4f7b, 0x68c59657, 0x32e9992e, 0x976ef68e), 0},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xcb, 0xcf, 0xb7, 0xe7}, SECP256K1_FE_CONST(0x12303941, 0xaedc2088, 0x80735b1f, 0x1795c8e5, 0x5be520ea, 0x93e10335, 0x7b5d2adb, 0x7ed59b8e), 0},
+ {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf3, 0x11, 0x3a, 0xd9}, SECP256K1_FE_CONST(0x7eed6b70, 0xe7b0767c, 0x7d7feac0, 0x4e57aa2a, 0x12fef5e0, 0xf48f878f, 0xcbb88b3b, 0x6b5e0783), 0},
+ {{0x0a, 0x2d, 0x2b, 0xa9, 0x35, 0x07, 0xf1, 0xdf, 0x23, 0x37, 0x70, 0xc2, 0xa7, 0x97, 0x96, 0x2c, 0xc6, 0x1f, 0x6d, 0x15, 0xda, 0x14, 0xec, 0xd4, 0x7d, 0x8d, 0x27, 0xae, 0x1c, 0xd5, 0xf8, 0x53, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x532167c1, 0x1200b08c, 0x0e84a354, 0xe74dcc40, 0xf8b25f4f, 0xe686e308, 0x69526366, 0x278a0688), 0},
+ {{0x0a, 0x2d, 0x2b, 0xa9, 0x35, 0x07, 0xf1, 0xdf, 0x23, 0x37, 0x70, 0xc2, 0xa7, 0x97, 0x96, 0x2c, 0xc6, 0x1f, 0x6d, 0x15, 0xda, 0x14, 0xec, 0xd4, 0x7d, 0x8d, 0x27, 0xae, 0x1c, 0xd5, 0xf8, 0x53, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x532167c1, 0x1200b08c, 0x0e84a354, 0xe74dcc40, 0xf8b25f4f, 0xe686e308, 0x69526366, 0x278a0688), 0},
+ {{0x0f, 0xfd, 0xe9, 0xca, 0x81, 0xd7, 0x51, 0xe9, 0xcd, 0xaf, 0xfc, 0x1a, 0x50, 0x77, 0x92, 0x45, 0x32, 0x0b, 0x28, 0x99, 0x6d, 0xba, 0xf3, 0x2f, 0x82, 0x2f, 0x20, 0x11, 0x7c, 0x22, 0xfb, 0xd6, 0xc7, 0x4d, 0x99, 0xef, 0xce, 0xaa, 0x55, 0x0f, 0x1a, 0xd1, 0xc0, 0xf4, 0x3f, 0x46, 0xe7, 0xff, 0x1e, 0xe3, 0xbd, 0x01, 0x62, 0xb7, 0xbf, 0x55, 0xf2, 0x96, 0x5d, 0xa9, 0xc3, 0x45, 0x06, 0x46}, SECP256K1_FE_CONST(0x74e880b3, 0xffd18fe3, 0xcddf7902, 0x522551dd, 0xf97fa4a3, 0x5a3cfda8, 0x197f9470, 0x81a57b8f), 0},
+ {{0x0f, 0xfd, 0xe9, 0xca, 0x81, 0xd7, 0x51, 0xe9, 0xcd, 0xaf, 0xfc, 0x1a, 0x50, 0x77, 0x92, 0x45, 0x32, 0x0b, 0x28, 0x99, 0x6d, 0xba, 0xf3, 0x2f, 0x82, 0x2f, 0x20, 0x11, 0x7c, 0x22, 0xfb, 0xd6, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x6c, 0xa8, 0x96}, SECP256K1_FE_CONST(0x377b643f, 0xce2271f6, 0x4e5c8101, 0x566107c1, 0xbe498074, 0x50917838, 0x04f65478, 0x1ac9217c), 1},
+ {{0x12, 0x36, 0x58, 0x44, 0x4f, 0x32, 0xbe, 0x8f, 0x02, 0xea, 0x20, 0x34, 0xaf, 0xa7, 0xef, 0x4b, 0xbe, 0x8a, 0xdc, 0x91, 0x8c, 0xeb, 0x49, 0xb1, 0x27, 0x73, 0xb6, 0x25, 0xf4, 0x90, 0xb3, 0x68, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x8d, 0xc5, 0xfe, 0x11}, SECP256K1_FE_CONST(0xed16d65c, 0xf3a9538f, 0xcb2c139f, 0x1ecbc143, 0xee148271, 0x20cbc265, 0x9e667256, 0x800b8142), 0},
+ {{0x14, 0x6f, 0x92, 0x46, 0x4d, 0x15, 0xd3, 0x6e, 0x35, 0x38, 0x2b, 0xd3, 0xca, 0x5b, 0x0f, 0x97, 0x6c, 0x95, 0xcb, 0x08, 0xac, 0xdc, 0xf2, 0xd5, 0xb3, 0x57, 0x06, 0x17, 0x99, 0x08, 0x39, 0xd7, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x31, 0x45, 0xe9, 0x3b}, SECP256K1_FE_CONST(0x0d5cd840, 0x427f941f, 0x65193079, 0xab8e2e83, 0x024ef2ee, 0x7ca558d8, 0x8879ffd8, 0x79fb6657), 0},
+ {{0x15, 0xfd, 0xf5, 0xcf, 0x09, 0xc9, 0x07, 0x59, 0xad, 0xd2, 0x27, 0x2d, 0x57, 0x4d, 0x2b, 0xb5, 0xfe, 0x14, 0x29, 0xf9, 0xf3, 0xc1, 0x4c, 0x65, 0xe3, 0x19, 0x4b, 0xf6, 0x1b, 0x82, 0xaa, 0x73, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x04, 0xcf, 0xd9, 0x06}, SECP256K1_FE_CONST(0x16d0e439, 0x46aec93f, 0x62d57eb8, 0xcde68951, 0xaf136cf4, 0xb307938d, 0xd1447411, 0xe07bffe1), 1},
+ {{0x1f, 0x67, 0xed, 0xf7, 0x79, 0xa8, 0xa6, 0x49, 0xd6, 0xde, 0xf6, 0x00, 0x35, 0xf2, 0xfa, 0x22, 0xd0, 0x22, 0xdd, 0x35, 0x90, 0x79, 0xa1, 0xa1, 0x44, 0x07, 0x3d, 0x84, 0xf1, 0x9b, 0x92, 0xd5, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x025661f9, 0xaba9d15c, 0x3118456b, 0xbe980e3e, 0x1b8ba2e0, 0x47c737a4, 0xeb48a040, 0xbb566f6c), 0},
+ {{0x1f, 0x67, 0xed, 0xf7, 0x79, 0xa8, 0xa6, 0x49, 0xd6, 0xde, 0xf6, 0x00, 0x35, 0xf2, 0xfa, 0x22, 0xd0, 0x22, 0xdd, 0x35, 0x90, 0x79, 0xa1, 0xa1, 0x44, 0x07, 0x3d, 0x84, 0xf1, 0x9b, 0x92, 0xd5, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x025661f9, 0xaba9d15c, 0x3118456b, 0xbe980e3e, 0x1b8ba2e0, 0x47c737a4, 0xeb48a040, 0xbb566f6c), 0},
+ {{0x1f, 0xe1, 0xe5, 0xef, 0x3f, 0xce, 0xb5, 0xc1, 0x35, 0xab, 0x77, 0x41, 0x33, 0x3c, 0xe5, 0xa6, 0xe8, 0x0d, 0x68, 0x16, 0x76, 0x53, 0xf6, 0xb2, 0xb2, 0x4b, 0xcb, 0xcf, 0xaa, 0xaf, 0xf5, 0x07, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x98bec3b2, 0xa351fa96, 0xcfd191c1, 0x77835193, 0x1b9e9ba9, 0xad1149f6, 0xd9eadca8, 0x0981b801), 0},
+ {{0x40, 0x56, 0xa3, 0x4a, 0x21, 0x0e, 0xec, 0x78, 0x92, 0xe8, 0x82, 0x06, 0x75, 0xc8, 0x60, 0x09, 0x9f, 0x85, 0x7b, 0x26, 0xaa, 0xd8, 0x54, 0x70, 0xee, 0x6d, 0x3c, 0xf1, 0x30, 0x4a, 0x9d, 0xcf, 0x37, 0x5e, 0x70, 0x37, 0x42, 0x71, 0xf2, 0x0b, 0x13, 0xc9, 0x98, 0x6e, 0xd7, 0xd3, 0xc1, 0x77, 0x99, 0x69, 0x8c, 0xfc, 0x43, 0x5d, 0xbe, 0xd3, 0xa9, 0xf3, 0x4b, 0x38, 0xc8, 0x23, 0xc2, 0xb4}, SECP256K1_FE_CONST(0x868aac20, 0x03b29dbc, 0xad1a3e80, 0x3855e078, 0xa89d1654, 0x3ac64392, 0xd1224172, 0x98cec76e), 0},
+ {{0x41, 0x97, 0xec, 0x37, 0x23, 0xc6, 0x54, 0xcf, 0xdd, 0x32, 0xab, 0x07, 0x55, 0x06, 0x64, 0x8b, 0x2f, 0xf5, 0x07, 0x03, 0x62, 0xd0, 0x1a, 0x4f, 0xff, 0x14, 0xb3, 0x36, 0xb7, 0x8f, 0x96, 0x3f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xb3, 0xab, 0x1e, 0x95}, SECP256K1_FE_CONST(0xba5a6314, 0x502a8952, 0xb8f456e0, 0x85928105, 0xf665377a, 0x8ce27726, 0xa5b0eb7e, 0xc1ac0286), 0},
+ {{0x47, 0xeb, 0x3e, 0x20, 0x8f, 0xed, 0xcd, 0xf8, 0x23, 0x4c, 0x94, 0x21, 0xe9, 0xcd, 0x9a, 0x7a, 0xe8, 0x73, 0xbf, 0xbd, 0xbc, 0x39, 0x37, 0x23, 0xd1, 0xba, 0x1e, 0x1e, 0x6a, 0x8e, 0x6b, 0x24, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7c, 0xd1, 0x2c, 0xb1}, SECP256K1_FE_CONST(0xd192d520, 0x07e541c9, 0x807006ed, 0x0468df77, 0xfd214af0, 0xa795fe11, 0x9359666f, 0xdcf08f7c), 0},
+ {{0x5e, 0xb9, 0x69, 0x6a, 0x23, 0x36, 0xfe, 0x2c, 0x3c, 0x66, 0x6b, 0x02, 0xc7, 0x55, 0xdb, 0x4c, 0x0c, 0xfd, 0x62, 0x82, 0x5c, 0x7b, 0x58, 0x9a, 0x7b, 0x7b, 0xb4, 0x42, 0xe1, 0x41, 0xc1, 0xd6, 0x93, 0x41, 0x3f, 0x00, 0x52, 0xd4, 0x9e, 0x64, 0xab, 0xec, 0x6d, 0x58, 0x31, 0xd6, 0x6c, 0x43, 0x61, 0x28, 0x30, 0xa1, 0x7d, 0xf1, 0xfe, 0x43, 0x83, 0xdb, 0x89, 0x64, 0x68, 0x10, 0x02, 0x21}, SECP256K1_FE_CONST(0xef6e1da6, 0xd6c7627e, 0x80f7a723, 0x4cb08a02, 0x2c1ee1cf, 0x29e4d0f9, 0x642ae924, 0xcef9eb38), 1},
+ {{0x7b, 0xf9, 0x6b, 0x7b, 0x6d, 0xa1, 0x5d, 0x34, 0x76, 0xa2, 0xb1, 0x95, 0x93, 0x4b, 0x69, 0x0a, 0x3a, 0x3d, 0xe3, 0xe8, 0xab, 0x84, 0x74, 0x85, 0x68, 0x63, 0xb0, 0xde, 0x3a, 0xf9, 0x0b, 0x0e, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x50851dfc, 0x9f418c31, 0x4a437295, 0xb24feeea, 0x27af3d0c, 0xd2308348, 0xfda6e21c, 0x463e46ff), 0},
+ {{0x7b, 0xf9, 0x6b, 0x7b, 0x6d, 0xa1, 0x5d, 0x34, 0x76, 0xa2, 0xb1, 0x95, 0x93, 0x4b, 0x69, 0x0a, 0x3a, 0x3d, 0xe3, 0xe8, 0xab, 0x84, 0x74, 0x85, 0x68, 0x63, 0xb0, 0xde, 0x3a, 0xf9, 0x0b, 0x0e, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x50851dfc, 0x9f418c31, 0x4a437295, 0xb24feeea, 0x27af3d0c, 0xd2308348, 0xfda6e21c, 0x463e46ff), 0},
+ {{0x85, 0x1b, 0x1c, 0xa9, 0x45, 0x49, 0x37, 0x1c, 0x4f, 0x1f, 0x71, 0x87, 0x32, 0x1d, 0x39, 0xbf, 0x51, 0xc6, 0xb7, 0xfb, 0x61, 0xf7, 0xcb, 0xf0, 0x27, 0xc9, 0xda, 0x62, 0x02, 0x1b, 0x7a, 0x65, 0xfc, 0x54, 0xc9, 0x68, 0x37, 0xfb, 0x22, 0xb3, 0x62, 0xed, 0xa6, 0x3e, 0xc5, 0x2e, 0xc8, 0x3d, 0x81, 0xbe, 0xdd, 0x16, 0x0c, 0x11, 0xb2, 0x2d, 0x96, 0x5d, 0x9f, 0x4a, 0x6d, 0x64, 0xd2, 0x51}, SECP256K1_FE_CONST(0x3e731051, 0xe12d3323, 0x7eb324f2, 0xaa5b16bb, 0x868eb49a, 0x1aa1fadc, 0x19b6e876, 0x1b5a5f7b), 1},
+ {{0x94, 0x3c, 0x2f, 0x77, 0x51, 0x08, 0xb7, 0x37, 0xfe, 0x65, 0xa9, 0x53, 0x1e, 0x19, 0xf2, 0xfc, 0x2a, 0x19, 0x7f, 0x56, 0x03, 0xe3, 0xa2, 0x88, 0x1d, 0x1d, 0x83, 0xe4, 0x00, 0x8f, 0x91, 0x25, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x311c61f0, 0xab2f32b7, 0xb1f0223f, 0xa72f0a78, 0x752b8146, 0xe46107f8, 0x876dd9c4, 0xf92b2942), 0},
+ {{0x94, 0x3c, 0x2f, 0x77, 0x51, 0x08, 0xb7, 0x37, 0xfe, 0x65, 0xa9, 0x53, 0x1e, 0x19, 0xf2, 0xfc, 0x2a, 0x19, 0x7f, 0x56, 0x03, 0xe3, 0xa2, 0x88, 0x1d, 0x1d, 0x83, 0xe4, 0x00, 0x8f, 0x91, 0x25, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x311c61f0, 0xab2f32b7, 0xb1f0223f, 0xa72f0a78, 0x752b8146, 0xe46107f8, 0x876dd9c4, 0xf92b2942), 0},
+ {{0xa0, 0xf1, 0x84, 0x92, 0x18, 0x3e, 0x61, 0xe8, 0x06, 0x3e, 0x57, 0x36, 0x06, 0x59, 0x14, 0x21, 0xb0, 0x6b, 0xc3, 0x51, 0x36, 0x31, 0x57, 0x8a, 0x73, 0xa3, 0x9c, 0x1c, 0x33, 0x06, 0x23, 0x9f, 0x2f, 0x32, 0x90, 0x4f, 0x0d, 0x2a, 0x33, 0xec, 0xca, 0x8a, 0x54, 0x51, 0x70, 0x5b, 0xb5, 0x37, 0xd3, 0xbf, 0x44, 0xe0, 0x71, 0x22, 0x60, 0x25, 0xcd, 0xbf, 0xd2, 0x49, 0xfe, 0x0f, 0x7a, 0xd6}, SECP256K1_FE_CONST(0x97a09cf1, 0xa2eae7c4, 0x94df3c6f, 0x8a9445bf, 0xb8c09d60, 0x832f9b0b, 0x9d5eabe2, 0x5fbd14b9), 0},
+ {{0xa1, 0xed, 0x0a, 0x0b, 0xd7, 0x9d, 0x8a, 0x23, 0xcf, 0xe4, 0xec, 0x5f, 0xef, 0x5b, 0xa5, 0xcc, 0xcf, 0xd8, 0x44, 0xe4, 0xff, 0x5c, 0xb4, 0xb0, 0xf2, 0xe7, 0x16, 0x27, 0x34, 0x1f, 0x1c, 0x5b, 0x17, 0xc4, 0x99, 0x24, 0x9e, 0x0a, 0xc0, 0x8d, 0x5d, 0x11, 0xea, 0x1c, 0x2c, 0x8c, 0xa7, 0x00, 0x16, 0x16, 0x55, 0x9a, 0x79, 0x94, 0xea, 0xde, 0xc9, 0xca, 0x10, 0xfb, 0x4b, 0x85, 0x16, 0xdc}, SECP256K1_FE_CONST(0x65a89640, 0x744192cd, 0xac64b2d2, 0x1ddf989c, 0xdac75007, 0x25b645be, 0xf8e2200a, 0xe39691f2), 0},
+ {{0xba, 0x94, 0x59, 0x4a, 0x43, 0x27, 0x21, 0xaa, 0x35, 0x80, 0xb8, 0x4c, 0x16, 0x1d, 0x0d, 0x13, 0x4b, 0xc3, 0x54, 0xb6, 0x90, 0x40, 0x4d, 0x7c, 0xd4, 0xec, 0x57, 0xc1, 0x6d, 0x3f, 0xbe, 0x98, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xea, 0x50, 0x7d, 0xd7}, SECP256K1_FE_CONST(0x5e0d7656, 0x4aae92cb, 0x347e01a6, 0x2afd389a, 0x9aa401c7, 0x6c8dd227, 0x543dc9cd, 0x0efe685a), 0},
+ {{0xbc, 0xaf, 0x72, 0x19, 0xf2, 0xf6, 0xfb, 0xf5, 0x5f, 0xe5, 0xe0, 0x62, 0xdc, 0xe0, 0xe4, 0x8c, 0x18, 0xf6, 0x81, 0x03, 0xf1, 0x0b, 0x81, 0x98, 0xe9, 0x74, 0xc1, 0x84, 0x75, 0x0e, 0x1b, 0xe3, 0x93, 0x20, 0x16, 0xcb, 0xf6, 0x9c, 0x44, 0x71, 0xbd, 0x1f, 0x65, 0x6c, 0x6a, 0x10, 0x7f, 0x19, 0x73, 0xde, 0x4a, 0xf7, 0x08, 0x6d, 0xb8, 0x97, 0x27, 0x70, 0x60, 0xe2, 0x56, 0x77, 0xf1, 0x9a}, SECP256K1_FE_CONST(0x2d97f96c, 0xac882dfe, 0x73dc44db, 0x6ce0f1d3, 0x1d624135, 0x8dd5d74e, 0xb3d3b500, 0x03d24c2b), 0},
+ {{0xbc, 0xaf, 0x72, 0x19, 0xf2, 0xf6, 0xfb, 0xf5, 0x5f, 0xe5, 0xe0, 0x62, 0xdc, 0xe0, 0xe4, 0x8c, 0x18, 0xf6, 0x81, 0x03, 0xf1, 0x0b, 0x81, 0x98, 0xe9, 0x74, 0xc1, 0x84, 0x75, 0x0e, 0x1b, 0xe3, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x65, 0x07, 0xd0, 0x9a}, SECP256K1_FE_CONST(0xe7008afe, 0x6e8cbd50, 0x55df120b, 0xd748757c, 0x686dadb4, 0x1cce75e4, 0xaddcc5e0, 0x2ec02b44), 1},
+ {{0xc5, 0x98, 0x1b, 0xae, 0x27, 0xfd, 0x84, 0x40, 0x1c, 0x72, 0xa1, 0x55, 0xe5, 0x70, 0x7f, 0xbb, 0x81, 0x1b, 0x2b, 0x62, 0x06, 0x45, 0xd1, 0x02, 0x8e, 0xa2, 0x70, 0xcb, 0xe0, 0xee, 0x22, 0x5d, 0x4b, 0x62, 0xaa, 0x4d, 0xca, 0x65, 0x06, 0xc1, 0xac, 0xdb, 0xec, 0xc0, 0x55, 0x25, 0x69, 0xb4, 0xb2, 0x14, 0x36, 0xa5, 0x69, 0x2e, 0x25, 0xd9, 0x0d, 0x3b, 0xc2, 0xeb, 0x7c, 0xe2, 0x40, 0x78}, SECP256K1_FE_CONST(0x948b40e7, 0x181713bc, 0x018ec170, 0x2d3d054d, 0x15746c59, 0xa7020730, 0xdd13ecf9, 0x85a010d7), 0},
+ {{0xc8, 0x94, 0xce, 0x48, 0xbf, 0xec, 0x43, 0x30, 0x14, 0xb9, 0x31, 0xa6, 0xad, 0x42, 0x26, 0xd7, 0xdb, 0xd8, 0xea, 0xa7, 0xb6, 0xe3, 0xfa, 0xa8, 0xd0, 0xef, 0x94, 0x05, 0x2b, 0xcf, 0x8c, 0xff, 0x33, 0x6e, 0xeb, 0x39, 0x19, 0xe2, 0xb4, 0xef, 0xb7, 0x46, 0xc7, 0xf7, 0x1b, 0xbc, 0xa7, 0xe9, 0x38, 0x32, 0x30, 0xfb, 0xbc, 0x48, 0xff, 0xaf, 0xe7, 0x7e, 0x8b, 0xcc, 0x69, 0x54, 0x24, 0x71}, SECP256K1_FE_CONST(0xf1c91acd, 0xc2525330, 0xf9b53158, 0x434a4d43, 0xa1c547cf, 0xf29f1550, 0x6f5da4eb, 0x4fe8fa5a), 1},
+ {{0xcb, 0xb0, 0xde, 0xab, 0x12, 0x57, 0x54, 0xf1, 0xfd, 0xb2, 0x03, 0x8b, 0x04, 0x34, 0xed, 0x9c, 0xb3, 0xfb, 0x53, 0xab, 0x73, 0x53, 0x91, 0x12, 0x99, 0x94, 0xa5, 0x35, 0xd9, 0x25, 0xf6, 0x73, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x872d81ed, 0x8831d999, 0x8b67cb71, 0x05243edb, 0xf86c10ed, 0xfebb786c, 0x110b02d0, 0x7b2e67cd), 0},
+ {{0xd9, 0x17, 0xb7, 0x86, 0xda, 0xc3, 0x56, 0x70, 0xc3, 0x30, 0xc9, 0xc5, 0xae, 0x59, 0x71, 0xdf, 0xb4, 0x95, 0xc8, 0xae, 0x52, 0x3e, 0xd9, 0x7e, 0xe2, 0x42, 0x01, 0x17, 0xb1, 0x71, 0xf4, 0x1e, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x20, 0x01, 0xf6, 0xf6}, SECP256K1_FE_CONST(0xe45b71e1, 0x10b831f2, 0xbdad8651, 0x994526e5, 0x8393fde4, 0x328b1ec0, 0x4d598971, 0x42584691), 1},
+ {{0xe2, 0x8b, 0xd8, 0xf5, 0x92, 0x9b, 0x46, 0x7e, 0xb7, 0x0e, 0x04, 0x33, 0x23, 0x74, 0xff, 0xb7, 0xe7, 0x18, 0x02, 0x18, 0xad, 0x16, 0xea, 0xa4, 0x6b, 0x71, 0x61, 0xaa, 0x67, 0x9e, 0xb4, 0x26, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x66b8c980, 0xa75c72e5, 0x98d383a3, 0x5a62879f, 0x844242ad, 0x1e73ff12, 0xedaa59f4, 0xe58632b5), 0},
+ {{0xe2, 0x8b, 0xd8, 0xf5, 0x92, 0x9b, 0x46, 0x7e, 0xb7, 0x0e, 0x04, 0x33, 0x23, 0x74, 0xff, 0xb7, 0xe7, 0x18, 0x02, 0x18, 0xad, 0x16, 0xea, 0xa4, 0x6b, 0x71, 0x61, 0xaa, 0x67, 0x9e, 0xb4, 0x26, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x66b8c980, 0xa75c72e5, 0x98d383a3, 0x5a62879f, 0x844242ad, 0x1e73ff12, 0xedaa59f4, 0xe58632b5), 0},
+ {{0xe7, 0xee, 0x58, 0x14, 0xc1, 0x70, 0x6b, 0xf8, 0xa8, 0x93, 0x96, 0xa9, 0xb0, 0x32, 0xbc, 0x01, 0x4c, 0x2c, 0xac, 0x9c, 0x12, 0x11, 0x27, 0xdb, 0xf6, 0xc9, 0x92, 0x78, 0xf8, 0xbb, 0x53, 0xd1, 0xdf, 0xd0, 0x4d, 0xbc, 0xda, 0x8e, 0x35, 0x24, 0x66, 0xb6, 0xfc, 0xd5, 0xf2, 0xde, 0xa3, 0xe1, 0x7d, 0x5e, 0x13, 0x31, 0x15, 0x88, 0x6e, 0xda, 0x20, 0xdb, 0x8a, 0x12, 0xb5, 0x4d, 0xe7, 0x1b}, SECP256K1_FE_CONST(0xe842c6e3, 0x529b2342, 0x70a5e977, 0x44edc34a, 0x04d7ba94, 0xe44b6d25, 0x23c9cf01, 0x95730a50), 1},
+ {{0xf2, 0x92, 0xe4, 0x68, 0x25, 0xf9, 0x22, 0x5a, 0xd2, 0x3d, 0xc0, 0x57, 0xc1, 0xd9, 0x1c, 0x4f, 0x57, 0xfc, 0xb1, 0x38, 0x6f, 0x29, 0xef, 0x10, 0x48, 0x1c, 0xb1, 0xd2, 0x25, 0x18, 0x59, 0x3f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x70, 0x11, 0xc9, 0x89}, SECP256K1_FE_CONST(0x3cea2c53, 0xb8b01701, 0x66ac7da6, 0x7194694a, 0xdacc84d5, 0x6389225e, 0x330134da, 0xb85a4d55), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x01, 0xd3, 0x47, 0x5b, 0xf7, 0x65, 0x5b, 0x0f, 0xb2, 0xd8, 0x52, 0x92, 0x10, 0x35, 0xb2, 0xef, 0x60, 0x7f, 0x49, 0x06, 0x9b, 0x97, 0x45, 0x4e, 0x67, 0x95, 0x25, 0x10, 0x62, 0x74, 0x17, 0x71}, SECP256K1_FE_CONST(0xb5da00b7, 0x3cd65605, 0x20e7c364, 0x086e7cd2, 0x3a34bf60, 0xd0e707be, 0x9fc34d4c, 0xd5fdfa2c), 1},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x42, 0x18, 0xf2, 0x0a, 0xe6, 0xc6, 0x46, 0xb3, 0x63, 0xdb, 0x68, 0x60, 0x58, 0x22, 0xfb, 0x14, 0x26, 0x4c, 0xa8, 0xd2, 0x58, 0x7f, 0xdd, 0x6f, 0xbc, 0x75, 0x0d, 0x58, 0x7e, 0x76, 0xa7, 0xee}, SECP256K1_FE_CONST(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaa9, 0xfffffd6b), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x82, 0x27, 0x7c, 0x4a, 0x71, 0xf9, 0xd2, 0x2e, 0x66, 0xec, 0xe5, 0x23, 0xf8, 0xfa, 0x08, 0x74, 0x1a, 0x7c, 0x09, 0x12, 0xc6, 0x6a, 0x69, 0xce, 0x68, 0x51, 0x4b, 0xfd, 0x35, 0x15, 0xb4, 0x9f}, SECP256K1_FE_CONST(0xf482f2e2, 0x41753ad0, 0xfb89150d, 0x8491dc1e, 0x34ff0b8a, 0xcfbb442c, 0xfe999e2e, 0x5e6fd1d2), 1},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x84, 0x21, 0xcc, 0x93, 0x0e, 0x77, 0xc9, 0xf5, 0x14, 0xb6, 0x91, 0x5c, 0x3d, 0xbe, 0x2a, 0x94, 0xc6, 0xd8, 0xf6, 0x90, 0xb5, 0xb7, 0x39, 0x86, 0x4b, 0xa6, 0x78, 0x9f, 0xb8, 0xa5, 0x5d, 0xd0}, SECP256K1_FE_CONST(0x9f59c402, 0x75f5085a, 0x006f05da, 0xe77eb98c, 0x6fd0db1a, 0xb4a72ac4, 0x7eae90a4, 0xfc9e57e0), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xd1, 0x9c, 0x18, 0x2d, 0x27, 0x59, 0xcd, 0x99, 0x82, 0x42, 0x28, 0xd9, 0x47, 0x99, 0xf8, 0xc6, 0x55, 0x7c, 0x38, 0xa1, 0xc0, 0xd6, 0x77, 0x9b, 0x9d, 0x4b, 0x72, 0x9c, 0x6f, 0x1c, 0xcc, 0x42}, SECP256K1_FE_CONST(0x70720db7, 0xe238d041, 0x21f5b1af, 0xd8cc5ad9, 0xd18944c6, 0xbdc94881, 0xf502b7a3, 0xaf3aecff), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x26, 0x64, 0xbb, 0xd5}, SECP256K1_FE_CONST(0x50873db3, 0x1badcc71, 0x890e4f67, 0x753a6575, 0x7f97aaa7, 0xdd5f1e82, 0xb753ace3, 0x2219064b), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x70, 0x28, 0xde, 0x7d}, SECP256K1_FE_CONST(0x1eea9cc5, 0x9cfcf2fa, 0x151ac6c2, 0x74eea411, 0x0feb4f7b, 0x68c59657, 0x32e9992e, 0x976ef68e), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xcb, 0xcf, 0xb7, 0xe7}, SECP256K1_FE_CONST(0x12303941, 0xaedc2088, 0x80735b1f, 0x1795c8e5, 0x5be520ea, 0x93e10335, 0x7b5d2adb, 0x7ed59b8e), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf3, 0x11, 0x3a, 0xd9}, SECP256K1_FE_CONST(0x7eed6b70, 0xe7b0767c, 0x7d7feac0, 0x4e57aa2a, 0x12fef5e0, 0xf48f878f, 0xcbb88b3b, 0x6b5e0783), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x13, 0xce, 0xa4, 0xa7, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x64998443, 0x5b62b4a2, 0x5d40c613, 0x3e8d9ab8, 0xc53d4b05, 0x9ee8a154, 0xa3be0fcf, 0x4e892edb), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x13, 0xce, 0xa4, 0xa7, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x64998443, 0x5b62b4a2, 0x5d40c613, 0x3e8d9ab8, 0xc53d4b05, 0x9ee8a154, 0xa3be0fcf, 0x4e892edb), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x02, 0x8c, 0x59, 0x00, 0x63, 0xf6, 0x4d, 0x5a, 0x7f, 0x1c, 0x14, 0x91, 0x5c, 0xd6, 0x1e, 0xac, 0x88, 0x6a, 0xb2, 0x95, 0xbe, 0xbd, 0x91, 0x99, 0x25, 0x04, 0xcf, 0x77, 0xed, 0xb0, 0x28, 0xbd, 0xd6, 0x26, 0x7f}, SECP256K1_FE_CONST(0x3fde5713, 0xf8282eea, 0xd7d39d42, 0x01f44a7c, 0x85a5ac8a, 0x0681f35e, 0x54085c6b, 0x69543374), 1},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x27, 0x15, 0xde, 0x86, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x3524f77f, 0xa3a6eb43, 0x89c3cb5d, 0x27f1f914, 0x62086429, 0xcd6c0cb0, 0xdf43ea8f, 0x1e7b3fb4), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x27, 0x15, 0xde, 0x86, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x3524f77f, 0xa3a6eb43, 0x89c3cb5d, 0x27f1f914, 0x62086429, 0xcd6c0cb0, 0xdf43ea8f, 0x1e7b3fb4), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x2c, 0x2c, 0x57, 0x09, 0xe7, 0x15, 0x6c, 0x41, 0x77, 0x17, 0xf2, 0xfe, 0xab, 0x14, 0x71, 0x41, 0xec, 0x3d, 0xa1, 0x9f, 0xb7, 0x59, 0x57, 0x5c, 0xc6, 0xe3, 0x7b, 0x2e, 0xa5, 0xac, 0x93, 0x09, 0xf2, 0x6f, 0x0f, 0x66}, SECP256K1_FE_CONST(0xd2469ab3, 0xe04acbb2, 0x1c65a180, 0x9f39caaf, 0xe7a77c13, 0xd10f9dd3, 0x8f391c01, 0xdc499c52), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3a, 0x08, 0xcc, 0x1e, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf7, 0x60, 0xe9, 0xf0}, SECP256K1_FE_CONST(0x38e2a5ce, 0x6a93e795, 0xe16d2c39, 0x8bc99f03, 0x69202ce2, 0x1e8f09d5, 0x6777b40f, 0xc512bccc), 1},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3e, 0x91, 0x25, 0x7d, 0x93, 0x20, 0x16, 0xcb, 0xf6, 0x9c, 0x44, 0x71, 0xbd, 0x1f, 0x65, 0x6c, 0x6a, 0x10, 0x7f, 0x19, 0x73, 0xde, 0x4a, 0xf7, 0x08, 0x6d, 0xb8, 0x97, 0x27, 0x70, 0x60, 0xe2, 0x56, 0x77, 0xf1, 0x9a}, SECP256K1_FE_CONST(0x864b3dc9, 0x02c37670, 0x9c10a93a, 0xd4bbe29f, 0xce0012f3, 0xdc8672c6, 0x286bba28, 0xd7d6d6fc), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x79, 0x5d, 0x6c, 0x1c, 0x32, 0x2c, 0xad, 0xf5, 0x99, 0xdb, 0xb8, 0x64, 0x81, 0x52, 0x2b, 0x3c, 0xc5, 0x5f, 0x15, 0xa6, 0x79, 0x32, 0xdb, 0x2a, 0xfa, 0x01, 0x11, 0xd9, 0xed, 0x69, 0x81, 0xbc, 0xd1, 0x24, 0xbf, 0x44}, SECP256K1_FE_CONST(0x766dfe4a, 0x700d9bee, 0x288b903a, 0xd58870e3, 0xd4fe2f0e, 0xf780bcac, 0x5c823f32, 0x0d9a9bef), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x8e, 0x42, 0x6f, 0x03, 0x92, 0x38, 0x90, 0x78, 0xc1, 0x2b, 0x1a, 0x89, 0xe9, 0x54, 0x2f, 0x05, 0x93, 0xbc, 0x96, 0xb6, 0xbf, 0xde, 0x82, 0x24, 0xf8, 0x65, 0x4e, 0xf5, 0xd5, 0xcd, 0xa9, 0x35, 0xa3, 0x58, 0x21, 0x94}, SECP256K1_FE_CONST(0xfaec7bc1, 0x987b6323, 0x3fbc5f95, 0x6edbf37d, 0x54404e74, 0x61c58ab8, 0x631bc68e, 0x451a0478), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x91, 0x19, 0x21, 0x39, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x45, 0xf0, 0xf1, 0xeb}, SECP256K1_FE_CONST(0xec29a50b, 0xae138dbf, 0x7d8e2482, 0x5006bb5f, 0xc1a2cc12, 0x43ba335b, 0xc6116fb9, 0xe498ec1f), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x98, 0xeb, 0x9a, 0xb7, 0x6e, 0x84, 0x49, 0x9c, 0x48, 0x3b, 0x3b, 0xf0, 0x62, 0x14, 0xab, 0xfe, 0x06, 0x5d, 0xdd, 0xf4, 0x3b, 0x86, 0x01, 0xde, 0x59, 0x6d, 0x63, 0xb9, 0xe4, 0x5a, 0x16, 0x6a, 0x58, 0x05, 0x41, 0xfe}, SECP256K1_FE_CONST(0x1e0ff2de, 0xe9b09b13, 0x6292a9e9, 0x10f0d6ac, 0x3e552a64, 0x4bba39e6, 0x4e9dd3e3, 0xbbd3d4d4), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x9b, 0x77, 0xb7, 0xf2, 0xc7, 0x4d, 0x99, 0xef, 0xce, 0xaa, 0x55, 0x0f, 0x1a, 0xd1, 0xc0, 0xf4, 0x3f, 0x46, 0xe7, 0xff, 0x1e, 0xe3, 0xbd, 0x01, 0x62, 0xb7, 0xbf, 0x55, 0xf2, 0x96, 0x5d, 0xa9, 0xc3, 0x45, 0x06, 0x46}, SECP256K1_FE_CONST(0x8b7dd5c3, 0xedba9ee9, 0x7b70eff4, 0x38f22dca, 0x9849c825, 0x4a2f3345, 0xa0a572ff, 0xeaae0928), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x9b, 0x77, 0xb7, 0xf2, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x15, 0x6c, 0xa8, 0x96}, SECP256K1_FE_CONST(0x0881950c, 0x8f51d6b9, 0xa6387465, 0xd5f12609, 0xef1bb254, 0x12a08a74, 0xcb2dfb20, 0x0c74bfbf), 1},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xa2, 0xf5, 0xcd, 0x83, 0x88, 0x16, 0xc1, 0x6c, 0x4f, 0xe8, 0xa1, 0x66, 0x1d, 0x60, 0x6f, 0xdb, 0x13, 0xcf, 0x9a, 0xf0, 0x4b, 0x97, 0x9a, 0x2e, 0x15, 0x9a, 0x09, 0x40, 0x9e, 0xbc, 0x86, 0x45, 0xd5, 0x8f, 0xde, 0x02}, SECP256K1_FE_CONST(0x2f083207, 0xb9fd9b55, 0x0063c31c, 0xd62b8746, 0xbd543bdc, 0x5bbf10e3, 0xa35563e9, 0x27f440c8), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xb1, 0x3f, 0x75, 0xc0, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x4f51e0be, 0x078e0cdd, 0xab274215, 0x6adba7e7, 0xa148e731, 0x57072fd6, 0x18cd6094, 0x2b146bd0), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xb1, 0x3f, 0x75, 0xc0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x4f51e0be, 0x078e0cdd, 0xab274215, 0x6adba7e7, 0xa148e731, 0x57072fd6, 0x18cd6094, 0x2b146bd0), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe7, 0xbc, 0x1f, 0x8d, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, SECP256K1_FE_CONST(0x16c2ccb5, 0x4352ff4b, 0xd794f6ef, 0xd613c721, 0x97ab7082, 0xda5b563b, 0xdf9cb3ed, 0xaafe74c2), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe7, 0xbc, 0x1f, 0x8d, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f}, SECP256K1_FE_CONST(0x16c2ccb5, 0x4352ff4b, 0xd794f6ef, 0xd613c721, 0x97ab7082, 0xda5b563b, 0xdf9cb3ed, 0xaafe74c2), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xef, 0x64, 0xd1, 0x62, 0x75, 0x05, 0x46, 0xce, 0x42, 0xb0, 0x43, 0x13, 0x61, 0xe5, 0x2d, 0x4f, 0x52, 0x42, 0xd8, 0xf2, 0x4f, 0x33, 0xe6, 0xb1, 0xf9, 0x9b, 0x59, 0x16, 0x47, 0xcb, 0xc8, 0x08, 0xf4, 0x62, 0xaf, 0x51}, SECP256K1_FE_CONST(0xd41244d1, 0x1ca4f652, 0x40687759, 0xf95ca9ef, 0xbab767ed, 0xedb38fd1, 0x8c36e18c, 0xd3b6f6a9), 1},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf0, 0xe5, 0xbe, 0x52, 0x37, 0x2d, 0xd6, 0xe8, 0x94, 0xb2, 0xa3, 0x26, 0xfc, 0x36, 0x05, 0xa6, 0xe8, 0xf3, 0xc6, 0x9c, 0x71, 0x0b, 0xf2, 0x7d, 0x63, 0x0d, 0xfe, 0x20, 0x04, 0x98, 0x8b, 0x78, 0xeb, 0x6e, 0xab, 0x36}, SECP256K1_FE_CONST(0x64bf84dd, 0x5e03670f, 0xdb24c0f5, 0xd3c2c365, 0x736f51db, 0x6c92d950, 0x10716ad2, 0xd36134c8), 0},
+ {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xfb, 0xb9, 0x82, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf6, 0xd6, 0xdb, 0x1f}, SECP256K1_FE_CONST(0x1c92ccdf, 0xcf4ac550, 0xc28db57c, 0xff0c8515, 0xcb26936c, 0x786584a7, 0x0114008d, 0x6c33a34b), 0},
+};
+
+/* Set of expected ellswift_xdh BIP324 shared secrets, given private key, encodings, initiating,
+ * taken from the BIP324 test vectors. Created using an independent implementation, and tested
+ * against the paper authors' decoding code. */
+static const struct ellswift_xdh_test ellswift_xdh_tests_bip324[] = {
+ {{0x61, 0x06, 0x2e, 0xa5, 0x07, 0x1d, 0x80, 0x0b, 0xbf, 0xd5, 0x9e, 0x2e, 0x8b, 0x53, 0xd4, 0x7d, 0x19, 0x4b, 0x09, 0x5a, 0xe5, 0xa4, 0xdf, 0x04, 0x93, 0x6b, 0x49, 0x77, 0x2e, 0xf0, 0xd4, 0xd7}, {0xec, 0x0a, 0xdf, 0xf2, 0x57, 0xbb, 0xfe, 0x50, 0x0c, 0x18, 0x8c, 0x80, 0xb4, 0xfd, 0xd6, 0x40, 0xf6, 0xb4, 0x5a, 0x48, 0x2b, 0xbc, 0x15, 0xfc, 0x7c, 0xef, 0x59, 0x31, 0xde, 0xff, 0x0a, 0xa1, 0x86, 0xf6, 0xeb, 0x9b, 0xba, 0x7b, 0x85, 0xdc, 0x4d, 0xcc, 0x28, 0xb2, 0x87, 0x22, 0xde, 0x1e, 0x3d, 0x91, 0x08, 0xb9, 0x85, 0xe2, 0x96, 0x70, 0x45, 0x66, 0x8f, 0x66, 0x09, 0x8e, 0x47, 0x5b}, {0xa4, 0xa9, 0x4d, 0xfc, 0xe6, 0x9b, 0x4a, 0x2a, 0x0a, 0x09, 0x93, 0x13, 0xd1, 0x0f, 0x9f, 0x7e, 0x7d, 0x64, 0x9d, 0x60, 0x50, 0x1c, 0x9e, 0x1d, 0x27, 0x4c, 0x30, 0x0e, 0x0d, 0x89, 0xaa, 0xfa, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x8f, 0xaf, 0x88, 0xd5}, 1, {0xc6, 0x99, 0x2a, 0x11, 0x7f, 0x5e, 0xdb, 0xea, 0x70, 0xc3, 0xf5, 0x11, 0xd3, 0x2d, 0x26, 0xb9, 0x79, 0x8b, 0xe4, 0xb8, 0x1a, 0x62, 0xea, 0xee, 0x1a, 0x5a, 0xca, 0xa8, 0x45, 0x9a, 0x35, 0x92}},
+ {{0x1f, 0x9c, 0x58, 0x1b, 0x35, 0x23, 0x18, 0x38, 0xf0, 0xf1, 0x7c, 0xf0, 0xc9, 0x79, 0x83, 0x5b, 0xac, 0xcb, 0x7f, 0x3a, 0xbb, 0xbb, 0x96, 0xff, 0xcc, 0x31, 0x8a, 0xb7, 0x1e, 0x6e, 0x12, 0x6f}, {0xa1, 0x85, 0x5e, 0x10, 0xe9, 0x4e, 0x00, 0xba, 0xa2, 0x30, 0x41, 0xd9, 0x16, 0xe2, 0x59, 0xf7, 0x04, 0x4e, 0x49, 0x1d, 0xa6, 0x17, 0x12, 0x69, 0x69, 0x47, 0x63, 0xf0, 0x18, 0xc7, 0xe6, 0x36, 0x93, 0xd2, 0x95, 0x75, 0xdc, 0xb4, 0x64, 0xac, 0x81, 0x6b, 0xaa, 0x1b, 0xe3, 0x53, 0xba, 0x12, 0xe3, 0x87, 0x6c, 0xba, 0x76, 0x28, 0xbd, 0x0b, 0xd8, 0xe7, 0x55, 0xe7, 0x21, 0xeb, 0x01, 0x40}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, 0, {0xa0, 0x13, 0x8f, 0x56, 0x4f, 0x74, 0xd0, 0xad, 0x70, 0xbc, 0x33, 0x7d, 0xac, 0xc9, 0xd0, 0xbf, 0x1d, 0x23, 0x49, 0x36, 0x4c, 0xaf, 0x11, 0x88, 0xa1, 0xe6, 0xe8, 0xdd, 0xb3, 0xb7, 0xb1, 0x84}},
+ {{0x02, 0x86, 0xc4, 0x1c, 0xd3, 0x09, 0x13, 0xdb, 0x0f, 0xdf, 0xf7, 0xa6, 0x4e, 0xbd, 0xa5, 0xc8, 0xe3, 0xe7, 0xce, 0xf1, 0x0f, 0x2a, 0xeb, 0xc0, 0x0a, 0x76, 0x50, 0x44, 0x3c, 0xf4, 0xc6, 0x0d}, {0xd1, 0xee, 0x8a, 0x93, 0xa0, 0x11, 0x30, 0xcb, 0xf2, 0x99, 0x24, 0x9a, 0x25, 0x8f, 0x94, 0xfe, 0xb5, 0xf4, 0x69, 0xe7, 0xd0, 0xf2, 0xf2, 0x8f, 0x69, 0xee, 0x5e, 0x9a, 0xa8, 0xf9, 0xb5, 0x4a, 0x60, 0xf2, 0xc3, 0xff, 0x2d, 0x02, 0x36, 0x34, 0xec, 0x7f, 0x41, 0x27, 0xa9, 0x6c, 0xc1, 0x16, 0x62, 0xe4, 0x02, 0x89, 0x4c, 0xf1, 0xf6, 0x94, 0xfb, 0x9a, 0x7e, 0xaa, 0x5f, 0x1d, 0x92, 0x44}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x22, 0xd5, 0xe4, 0x41, 0x52, 0x4d, 0x57, 0x1a, 0x52, 0xb3, 0xde, 0xf1, 0x26, 0x18, 0x9d, 0x3f, 0x41, 0x68, 0x90, 0xa9, 0x9d, 0x4d, 0xa6, 0xed, 0xe2, 0xb0, 0xcd, 0xe1, 0x76, 0x0c, 0xe2, 0xc3, 0xf9, 0x84, 0x57, 0xae}, 1, {0x25, 0x0b, 0x93, 0x57, 0x0d, 0x41, 0x11, 0x49, 0x10, 0x5a, 0xb8, 0xcb, 0x0b, 0xc5, 0x07, 0x99, 0x14, 0x90, 0x63, 0x06, 0x36, 0x8c, 0x23, 0xe9, 0xd7, 0x7c, 0x2a, 0x33, 0x26, 0x5b, 0x99, 0x4c}},
+ {{0x6c, 0x77, 0x43, 0x2d, 0x1f, 0xda, 0x31, 0xe9, 0xf9, 0x42, 0xf8, 0xaf, 0x44, 0x60, 0x7e, 0x10, 0xf3, 0xad, 0x38, 0xa6, 0x5f, 0x8a, 0x4b, 0xdd, 0xae, 0x82, 0x3e, 0x5e, 0xff, 0x90, 0xdc, 0x38}, {0xd2, 0x68, 0x50, 0x70, 0xc1, 0xe6, 0x37, 0x6e, 0x63, 0x3e, 0x82, 0x52, 0x96, 0x63, 0x4f, 0xd4, 0x61, 0xfa, 0x9e, 0x5b, 0xdf, 0x21, 0x09, 0xbc, 0xeb, 0xd7, 0x35, 0xe5, 0xa9, 0x1f, 0x3e, 0x58, 0x7c, 0x5c, 0xb7, 0x82, 0xab, 0xb7, 0x97, 0xfb, 0xf6, 0xbb, 0x50, 0x74, 0xfd, 0x15, 0x42, 0xa4, 0x74, 0xf2, 0xa4, 0x5b, 0x67, 0x37, 0x63, 0xec, 0x2d, 0xb7, 0xfb, 0x99, 0xb7, 0x37, 0xbb, 0xb9}, {0x56, 0xbd, 0x0c, 0x06, 0xf1, 0x03, 0x52, 0xc3, 0xa1, 0xa9, 0xf4, 0xb4, 0xc9, 0x2f, 0x6f, 0xa2, 0xb2, 0x6d, 0xf1, 0x24, 0xb5, 0x78, 0x78, 0x35, 0x3c, 0x1f, 0xc6, 0x91, 0xc5, 0x1a, 0xbe, 0xa7, 0x7c, 0x88, 0x17, 0xda, 0xee, 0xb9, 0xfa, 0x54, 0x6b, 0x77, 0xc8, 0xda, 0xf7, 0x9d, 0x89, 0xb2, 0x2b, 0x0e, 0x1b, 0x87, 0x57, 0x4e, 0xce, 0x42, 0x37, 0x1f, 0x00, 0x23, 0x7a, 0xa9, 0xd8, 0x3a}, 0, {0x19, 0x18, 0xb7, 0x41, 0xef, 0x5f, 0x9d, 0x1d, 0x76, 0x70, 0xb0, 0x50, 0xc1, 0x52, 0xb4, 0xa4, 0xea, 0xd2, 0xc3, 0x1b, 0xe9, 0xae, 0xcb, 0x06, 0x81, 0xc0, 0xcd, 0x43, 0x24, 0x15, 0x08, 0x53}},
+ {{0xa6, 0xec, 0x25, 0x12, 0x7c, 0xa1, 0xaa, 0x4c, 0xf1, 0x6b, 0x20, 0x08, 0x4b, 0xa1, 0xe6, 0x51, 0x6b, 0xaa, 0xe4, 0xd3, 0x24, 0x22, 0x28, 0x8e, 0x9b, 0x36, 0xd8, 0xbd, 0xdd, 0x2d, 0xe3, 0x5a}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x05, 0x3d, 0x7e, 0xcc, 0xa5, 0x3e, 0x33, 0xe1, 0x85, 0xa8, 0xb9, 0xbe, 0x4e, 0x76, 0x99, 0xa9, 0x7c, 0x6f, 0xf4, 0xc7, 0x95, 0x52, 0x2e, 0x59, 0x18, 0xab, 0x7c, 0xd6, 0xb6, 0x88, 0x4f, 0x67, 0xe6, 0x83, 0xf3, 0xdc}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xa7, 0x73, 0x0b, 0xe3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, 1, {0xdd, 0x21, 0x0a, 0xa6, 0x62, 0x9f, 0x20, 0xbb, 0x32, 0x8e, 0x5d, 0x89, 0xda, 0xa6, 0xeb, 0x2a, 0xc3, 0xd1, 0xc6, 0x58, 0xa7, 0x25, 0x53, 0x6f, 0xf1, 0x54, 0xf3, 0x1b, 0x53, 0x6c, 0x23, 0xb2}},
+ {{0x0a, 0xf9, 0x52, 0x65, 0x9e, 0xd7, 0x6f, 0x80, 0xf5, 0x85, 0x96, 0x6b, 0x95, 0xab, 0x6e, 0x6f, 0xd6, 0x86, 0x54, 0x67, 0x28, 0x27, 0x87, 0x86, 0x84, 0xc8, 0xb5, 0x47, 0xb1, 0xb9, 0x4f, 0x5a}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc8, 0x10, 0x17, 0xfd, 0x92, 0xfd, 0x31, 0x63, 0x7c, 0x26, 0xc9, 0x06, 0xb4, 0x20, 0x92, 0xe1, 0x1c, 0xc0, 0xd3, 0xaf, 0xae, 0x8d, 0x90, 0x19, 0xd2, 0x57, 0x8a, 0xf2, 0x27, 0x35, 0xce, 0x7b, 0xc4, 0x69, 0xc7, 0x2d}, {0x96, 0x52, 0xd7, 0x8b, 0xae, 0xfc, 0x02, 0x8c, 0xd3, 0x7a, 0x6a, 0x92, 0x62, 0x5b, 0x8b, 0x8f, 0x85, 0xfd, 0xe1, 0xe4, 0xc9, 0x44, 0xad, 0x3f, 0x20, 0xe1, 0x98, 0xbe, 0xf8, 0xc0, 0x2f, 0x19, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf2, 0xe9, 0x18, 0x70}, 0, {0x35, 0x68, 0xf2, 0xae, 0xa2, 0xe1, 0x4e, 0xf4, 0xee, 0x4a, 0x3c, 0x2a, 0x8b, 0x8d, 0x31, 0xbc, 0x5e, 0x31, 0x87, 0xba, 0x86, 0xdb, 0x10, 0x73, 0x9b, 0x4f, 0xf8, 0xec, 0x92, 0xff, 0x66, 0x55}},
+ {{0xf9, 0x0e, 0x08, 0x0c, 0x64, 0xb0, 0x58, 0x24, 0xc5, 0xa2, 0x4b, 0x25, 0x01, 0xd5, 0xae, 0xaf, 0x08, 0xaf, 0x38, 0x72, 0xee, 0x86, 0x0a, 0xa8, 0x0b, 0xdc, 0xd4, 0x30, 0xf7, 0xb6, 0x34, 0x94}, {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x11, 0x51, 0x73, 0x76, 0x5d, 0xc2, 0x02, 0xcf, 0x02, 0x9a, 0xd3, 0xf1, 0x54, 0x79, 0x73, 0x5d, 0x57, 0x69, 0x7a, 0xf1, 0x2b, 0x01, 0x31, 0xdd, 0x21, 0x43, 0x0d, 0x57, 0x72, 0xe4, 0xef, 0x11, 0x47, 0x4d, 0x58, 0xb9}, {0x12, 0xa5, 0x0f, 0x3f, 0xaf, 0xea, 0x7c, 0x1e, 0xea, 0xda, 0x4c, 0xf8, 0xd3, 0x37, 0x77, 0x70, 0x4b, 0x77, 0x36, 0x14, 0x53, 0xaf, 0xc8, 0x3b, 0xda, 0x91, 0xee, 0xf3, 0x49, 0xae, 0x04, 0x4d, 0x20, 0x12, 0x6c, 0x62, 0x00, 0x54, 0x7e, 0xa5, 0xa6, 0x91, 0x17, 0x76, 0xc0, 0x5d, 0xee, 0x2a, 0x7f, 0x1a, 0x9b, 0xa7, 0xdf, 0xba, 0xbb, 0xbd, 0x27, 0x3c, 0x3e, 0xf2, 0x9e, 0xf4, 0x6e, 0x46}, 1, {0xe2, 0x54, 0x61, 0xfb, 0x0e, 0x4c, 0x16, 0x2e, 0x18, 0x12, 0x3e, 0xcd, 0xe8, 0x83, 0x42, 0xd5, 0x4d, 0x44, 0x96, 0x31, 0xe9, 0xb7, 0x5a, 0x26, 0x6f, 0xd9, 0x26, 0x0c, 0x2b, 0xb2, 0xf4, 0x1d}},
+};
+
+/** This is a hasher for ellswift_xdh which just returns the shared X coordinate.
+ *
+ * This is generally a bad idea as it means changes to the encoding of the
+ * exchanged public keys do not affect the shared secret. However, it's used here
+ * in tests to be able to verify the X coordinate through other means.
+ */
+static int ellswift_xdh_hash_x32(unsigned char *output, const unsigned char *x32, const unsigned char *ell_a64, const unsigned char *ell_b64, void *data) {
+ (void)ell_a64;
+ (void)ell_b64;
+ (void)data;
+ memcpy(output, x32, 32);
+ return 1;
+}
+
+void run_ellswift_tests(void) {
+ int i = 0;
+ /* Test vectors. */
+ for (i = 0; (unsigned)i < sizeof(ellswift_xswiftec_inv_tests) / sizeof(ellswift_xswiftec_inv_tests[0]); ++i) {
+ const struct ellswift_xswiftec_inv_test *testcase = &ellswift_xswiftec_inv_tests[i];
+ int c;
+ for (c = 0; c < 8; ++c) {
+ secp256k1_fe t;
+ int ret = secp256k1_ellswift_xswiftec_inv_var(&t, &testcase->x, &testcase->u, c);
+ CHECK(ret == ((testcase->enc_bitmap >> c) & 1));
+ if (ret) {
+ secp256k1_fe x2;
+ CHECK(fe_equal(&t, &testcase->encs[c]));
+ secp256k1_ellswift_xswiftec_var(&x2, &testcase->u, &testcase->encs[c]);
+ CHECK(fe_equal(&testcase->x, &x2));
+ }
+ }
+ }
+ for (i = 0; (unsigned)i < sizeof(ellswift_decode_tests) / sizeof(ellswift_decode_tests[0]); ++i) {
+ const struct ellswift_decode_test *testcase = &ellswift_decode_tests[i];
+ secp256k1_pubkey pubkey;
+ secp256k1_ge ge;
+ int ret;
+ ret = secp256k1_ellswift_decode(CTX, &pubkey, testcase->enc);
+ CHECK(ret);
+ ret = secp256k1_pubkey_load(CTX, &ge, &pubkey);
+ CHECK(ret);
+ CHECK(fe_equal(&testcase->x, &ge.x));
+ CHECK(secp256k1_fe_is_odd(&ge.y) == testcase->odd_y);
+ }
+ for (i = 0; (unsigned)i < sizeof(ellswift_xdh_tests_bip324) / sizeof(ellswift_xdh_tests_bip324[0]); ++i) {
+ const struct ellswift_xdh_test *test = &ellswift_xdh_tests_bip324[i];
+ unsigned char shared_secret[32];
+ int ret;
+ int party = !test->initiating;
+ const unsigned char* ell_a64 = party ? test->ellswift_theirs : test->ellswift_ours;
+ const unsigned char* ell_b64 = party ? test->ellswift_ours : test->ellswift_theirs;
+ ret = secp256k1_ellswift_xdh(CTX, shared_secret,
+ ell_a64, ell_b64,
+ test->priv_ours,
+ party,
+ secp256k1_ellswift_xdh_hash_function_bip324,
+ NULL);
+ CHECK(ret);
+ CHECK(secp256k1_memcmp_var(shared_secret, test->shared_secret, 32) == 0);
+ }
+ /* Verify that secp256k1_ellswift_encode + decode roundtrips. */
+ for (i = 0; i < 1000 * COUNT; i++) {
+ unsigned char rnd32[32];
+ unsigned char ell64[64];
+ secp256k1_ge g, g2;
+ secp256k1_pubkey pubkey, pubkey2;
+ /* Generate random public key and random randomizer. */
+ testutil_random_ge_test(&g);
+ secp256k1_pubkey_save(&pubkey, &g);
+ testrand256(rnd32);
+ /* Convert the public key to ElligatorSwift and back. */
+ secp256k1_ellswift_encode(CTX, ell64, &pubkey, rnd32);
+ secp256k1_ellswift_decode(CTX, &pubkey2, ell64);
+ secp256k1_pubkey_load(CTX, &g2, &pubkey2);
+ /* Compare with original. */
+ CHECK(secp256k1_ge_eq_var(&g, &g2));
+ }
+ /* Verify the behavior of secp256k1_ellswift_create */
+ for (i = 0; i < 400 * COUNT; i++) {
+ unsigned char auxrnd32[32], sec32[32];
+ secp256k1_scalar sec;
+ secp256k1_gej res;
+ secp256k1_ge dec;
+ secp256k1_pubkey pub;
+ unsigned char ell64[64];
+ int ret;
+ /* Generate random secret key and random randomizer. */
+ if (i & 1) testrand256_test(auxrnd32);
+ testutil_random_scalar_order_test(&sec);
+ secp256k1_scalar_get_b32(sec32, &sec);
+ /* Construct ElligatorSwift-encoded public keys for that key. */
+ ret = secp256k1_ellswift_create(CTX, ell64, sec32, (i & 1) ? auxrnd32 : NULL);
+ CHECK(ret);
+ /* Decode it, and compare with traditionally-computed public key. */
+ secp256k1_ellswift_decode(CTX, &pub, ell64);
+ secp256k1_pubkey_load(CTX, &dec, &pub);
+ secp256k1_ecmult(&res, NULL, &secp256k1_scalar_zero, &sec);
+ CHECK(secp256k1_gej_eq_ge_var(&res, &dec));
+ }
+ /* Verify that secp256k1_ellswift_xdh computes the right shared X coordinate. */
+ for (i = 0; i < 800 * COUNT; i++) {
+ unsigned char ell64[64], sec32[32], share32[32];
+ secp256k1_scalar sec;
+ secp256k1_ge dec, res;
+ secp256k1_fe share_x;
+ secp256k1_gej decj, resj;
+ secp256k1_pubkey pub;
+ int ret;
+ /* Generate random secret key. */
+ testutil_random_scalar_order_test(&sec);
+ secp256k1_scalar_get_b32(sec32, &sec);
+ /* Generate random ElligatorSwift encoding for the remote key and decode it. */
+ testrand256_test(ell64);
+ testrand256_test(ell64 + 32);
+ secp256k1_ellswift_decode(CTX, &pub, ell64);
+ secp256k1_pubkey_load(CTX, &dec, &pub);
+ secp256k1_gej_set_ge(&decj, &dec);
+ /* Compute the X coordinate of seckey*pubkey using ellswift_xdh. Note that we
+ * pass ell64 as claimed (but incorrect) encoding for sec32 here; this works
+ * because the "hasher" function we use here ignores the ell64 arguments. */
+ ret = secp256k1_ellswift_xdh(CTX, share32, ell64, ell64, sec32, i & 1, &ellswift_xdh_hash_x32, NULL);
+ CHECK(ret);
+ (void)secp256k1_fe_set_b32_limit(&share_x, share32); /* no overflow is possible */
+ SECP256K1_FE_VERIFY(&share_x);
+ /* Compute seckey*pubkey directly. */
+ secp256k1_ecmult(&resj, &decj, &sec, NULL);
+ secp256k1_ge_set_gej(&res, &resj);
+ /* Compare. */
+ CHECK(fe_equal(&res.x, &share_x));
+ }
+ /* Verify the joint behavior of secp256k1_ellswift_xdh */
+ for (i = 0; i < 200 * COUNT; i++) {
+ unsigned char auxrnd32a[32], auxrnd32b[32], auxrnd32a_bad[32], auxrnd32b_bad[32];
+ unsigned char sec32a[32], sec32b[32], sec32a_bad[32], sec32b_bad[32];
+ secp256k1_scalar seca, secb;
+ unsigned char ell64a[64], ell64b[64], ell64a_bad[64], ell64b_bad[64];
+ unsigned char share32a[32], share32b[32], share32_bad[32];
+ unsigned char prefix64[64];
+ secp256k1_ellswift_xdh_hash_function hash_function;
+ void* data;
+ int ret;
+
+ /* Pick hasher to use. */
+ if ((i % 3) == 0) {
+ hash_function = ellswift_xdh_hash_x32;
+ data = NULL;
+ } else if ((i % 3) == 1) {
+ hash_function = secp256k1_ellswift_xdh_hash_function_bip324;
+ data = NULL;
+ } else {
+ hash_function = secp256k1_ellswift_xdh_hash_function_prefix;
+ testrand256_test(prefix64);
+ testrand256_test(prefix64 + 32);
+ data = prefix64;
+ }
+
+ /* Generate random secret keys and random randomizers. */
+ testrand256_test(auxrnd32a);
+ testrand256_test(auxrnd32b);
+ testutil_random_scalar_order_test(&seca);
+ /* Draw secb uniformly at random to make sure that the secret keys
+ * differ */
+ testutil_random_scalar_order(&secb);
+ secp256k1_scalar_get_b32(sec32a, &seca);
+ secp256k1_scalar_get_b32(sec32b, &secb);
+
+ /* Construct ElligatorSwift-encoded public keys for those keys. */
+ /* For A: */
+ ret = secp256k1_ellswift_create(CTX, ell64a, sec32a, auxrnd32a);
+ CHECK(ret);
+ /* For B: */
+ ret = secp256k1_ellswift_create(CTX, ell64b, sec32b, auxrnd32b);
+ CHECK(ret);
+
+ /* Compute the shared secret both ways and compare with each other. */
+ /* For A: */
+ ret = secp256k1_ellswift_xdh(CTX, share32a, ell64a, ell64b, sec32a, 0, hash_function, data);
+ CHECK(ret);
+ /* For B: */
+ ret = secp256k1_ellswift_xdh(CTX, share32b, ell64a, ell64b, sec32b, 1, hash_function, data);
+ CHECK(ret);
+ /* And compare: */
+ CHECK(secp256k1_memcmp_var(share32a, share32b, 32) == 0);
+
+ /* Verify that the shared secret doesn't match if other side's public key is incorrect. */
+ /* For A (using a bad public key for B): */
+ memcpy(ell64b_bad, ell64b, sizeof(ell64a_bad));
+ testrand_flip(ell64b_bad, sizeof(ell64b_bad));
+ ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b_bad, sec32a, 0, hash_function, data);
+ CHECK(ret); /* Mismatching encodings don't get detected by secp256k1_ellswift_xdh. */
+ CHECK(secp256k1_memcmp_var(share32_bad, share32a, 32) != 0);
+ /* For B (using a bad public key for A): */
+ memcpy(ell64a_bad, ell64a, sizeof(ell64a_bad));
+ testrand_flip(ell64a_bad, sizeof(ell64a_bad));
+ ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a_bad, ell64b, sec32b, 1, hash_function, data);
+ CHECK(ret);
+ CHECK(secp256k1_memcmp_var(share32_bad, share32b, 32) != 0);
+
+ /* Verify that the shared secret doesn't match if the private key is incorrect. */
+ /* For A: */
+ memcpy(sec32a_bad, sec32a, sizeof(sec32a_bad));
+ testrand_flip(sec32a_bad, sizeof(sec32a_bad));
+ ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32a_bad, 0, hash_function, data);
+ CHECK(!ret || secp256k1_memcmp_var(share32_bad, share32a, 32) != 0);
+ /* For B: */
+ memcpy(sec32b_bad, sec32b, sizeof(sec32b_bad));
+ testrand_flip(sec32b_bad, sizeof(sec32b_bad));
+ ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32b_bad, 1, hash_function, data);
+ CHECK(!ret || secp256k1_memcmp_var(share32_bad, share32b, 32) != 0);
+
+ if (hash_function != ellswift_xdh_hash_x32) {
+ /* Verify that the shared secret doesn't match when a different encoding of the same public key is used. */
+ /* For A (changing B's public key): */
+ memcpy(auxrnd32b_bad, auxrnd32b, sizeof(auxrnd32b_bad));
+ testrand_flip(auxrnd32b_bad, sizeof(auxrnd32b_bad));
+ ret = secp256k1_ellswift_create(CTX, ell64b_bad, sec32b, auxrnd32b_bad);
+ CHECK(ret);
+ ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b_bad, sec32a, 0, hash_function, data);
+ CHECK(ret);
+ CHECK(secp256k1_memcmp_var(share32_bad, share32a, 32) != 0);
+ /* For B (changing A's public key): */
+ memcpy(auxrnd32a_bad, auxrnd32a, sizeof(auxrnd32a_bad));
+ testrand_flip(auxrnd32a_bad, sizeof(auxrnd32a_bad));
+ ret = secp256k1_ellswift_create(CTX, ell64a_bad, sec32a, auxrnd32a_bad);
+ CHECK(ret);
+ ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a_bad, ell64b, sec32b, 1, hash_function, data);
+ CHECK(ret);
+ CHECK(secp256k1_memcmp_var(share32_bad, share32b, 32) != 0);
+
+ /* Verify that swapping sides changes the shared secret. */
+ /* For A (claiming to be B): */
+ ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32a, 1, hash_function, data);
+ CHECK(ret);
+ CHECK(secp256k1_memcmp_var(share32_bad, share32a, 32) != 0);
+ /* For B (claiming to be A): */
+ ret = secp256k1_ellswift_xdh(CTX, share32_bad, ell64a, ell64b, sec32b, 0, hash_function, data);
+ CHECK(ret);
+ CHECK(secp256k1_memcmp_var(share32_bad, share32b, 32) != 0);
+ }
+ }
+
+ /* Test hash initializers. */
+ {
+ secp256k1_sha256 sha, sha_optimized;
+ static const unsigned char encode_tag[] = {'s', 'e', 'c', 'p', '2', '5', '6', 'k', '1', '_', 'e', 'l', 'l', 's', 'w', 'i', 'f', 't', '_', 'e', 'n', 'c', 'o', 'd', 'e'};
+ static const unsigned char create_tag[] = {'s', 'e', 'c', 'p', '2', '5', '6', 'k', '1', '_', 'e', 'l', 'l', 's', 'w', 'i', 'f', 't', '_', 'c', 'r', 'e', 'a', 't', 'e'};
+ static const unsigned char bip324_tag[] = {'b', 'i', 'p', '3', '2', '4', '_', 'e', 'l', 'l', 's', 'w', 'i', 'f', 't', '_', 'x', 'o', 'n', 'l', 'y', '_', 'e', 'c', 'd', 'h'};
+
+ /* Check that hash initialized by
+ * secp256k1_ellswift_sha256_init_encode has the expected
+ * state. */
+ secp256k1_sha256_initialize_tagged(&sha, encode_tag, sizeof(encode_tag));
+ secp256k1_ellswift_sha256_init_encode(&sha_optimized);
+ test_sha256_eq(&sha, &sha_optimized);
+
+ /* Check that hash initialized by
+ * secp256k1_ellswift_sha256_init_create has the expected
+ * state. */
+ secp256k1_sha256_initialize_tagged(&sha, create_tag, sizeof(create_tag));
+ secp256k1_ellswift_sha256_init_create(&sha_optimized);
+ test_sha256_eq(&sha, &sha_optimized);
+
+ /* Check that hash initialized by
+ * secp256k1_ellswift_sha256_init_bip324 has the expected
+ * state. */
+ secp256k1_sha256_initialize_tagged(&sha, bip324_tag, sizeof(bip324_tag));
+ secp256k1_ellswift_sha256_init_bip324(&sha_optimized);
+ test_sha256_eq(&sha, &sha_optimized);
+ }
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/Makefile.am.include b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/Makefile.am.include
new file mode 100644
index 00000000..0d901ec1
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/Makefile.am.include
@@ -0,0 +1,4 @@
+include_HEADERS += include/secp256k1_extrakeys.h
+noinst_HEADERS += src/modules/extrakeys/tests_impl.h
+noinst_HEADERS += src/modules/extrakeys/tests_exhaustive_impl.h
+noinst_HEADERS += src/modules/extrakeys/main_impl.h
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/main_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/main_impl.h
new file mode 100644
index 00000000..0c7e2667
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/main_impl.h
@@ -0,0 +1,285 @@
+/***********************************************************************
+ * Copyright (c) 2020 Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_EXTRAKEYS_MAIN_H
+#define SECP256K1_MODULE_EXTRAKEYS_MAIN_H
+
+#include "../../../include/secp256k1.h"
+#include "../../../include/secp256k1_extrakeys.h"
+#include "../../util.h"
+
+static SECP256K1_INLINE int secp256k1_xonly_pubkey_load(const secp256k1_context* ctx, secp256k1_ge *ge, const secp256k1_xonly_pubkey *pubkey) {
+ return secp256k1_pubkey_load(ctx, ge, (const secp256k1_pubkey *) pubkey);
+}
+
+static SECP256K1_INLINE void secp256k1_xonly_pubkey_save(secp256k1_xonly_pubkey *pubkey, secp256k1_ge *ge) {
+ secp256k1_pubkey_save((secp256k1_pubkey *) pubkey, ge);
+}
+
+int secp256k1_xonly_pubkey_parse(const secp256k1_context* ctx, secp256k1_xonly_pubkey *pubkey, const unsigned char *input32) {
+ secp256k1_ge pk;
+ secp256k1_fe x;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(pubkey != NULL);
+ memset(pubkey, 0, sizeof(*pubkey));
+ ARG_CHECK(input32 != NULL);
+
+ if (!secp256k1_fe_set_b32_limit(&x, input32)) {
+ return 0;
+ }
+ if (!secp256k1_ge_set_xo_var(&pk, &x, 0)) {
+ return 0;
+ }
+ if (!secp256k1_ge_is_in_correct_subgroup(&pk)) {
+ return 0;
+ }
+ secp256k1_xonly_pubkey_save(pubkey, &pk);
+ return 1;
+}
+
+int secp256k1_xonly_pubkey_serialize(const secp256k1_context* ctx, unsigned char *output32, const secp256k1_xonly_pubkey *pubkey) {
+ secp256k1_ge pk;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(output32 != NULL);
+ memset(output32, 0, 32);
+ ARG_CHECK(pubkey != NULL);
+
+ if (!secp256k1_xonly_pubkey_load(ctx, &pk, pubkey)) {
+ return 0;
+ }
+ secp256k1_fe_get_b32(output32, &pk.x);
+ return 1;
+}
+
+int secp256k1_xonly_pubkey_cmp(const secp256k1_context* ctx, const secp256k1_xonly_pubkey* pk0, const secp256k1_xonly_pubkey* pk1) {
+ unsigned char out[2][32];
+ const secp256k1_xonly_pubkey* pk[2];
+ int i;
+
+ VERIFY_CHECK(ctx != NULL);
+ pk[0] = pk0; pk[1] = pk1;
+ for (i = 0; i < 2; i++) {
+ /* If the public key is NULL or invalid, xonly_pubkey_serialize will
+ * call the illegal_callback and return 0. In that case we will
+ * serialize the key as all zeros which is less than any valid public
+ * key. This results in consistent comparisons even if NULL or invalid
+ * pubkeys are involved and prevents edge cases such as sorting
+ * algorithms that use this function and do not terminate as a
+ * result. */
+ if (!secp256k1_xonly_pubkey_serialize(ctx, out[i], pk[i])) {
+ /* Note that xonly_pubkey_serialize should already set the output to
+ * zero in that case, but it's not guaranteed by the API, we can't
+ * test it and writing a VERIFY_CHECK is more complex than
+ * explicitly memsetting (again). */
+ memset(out[i], 0, sizeof(out[i]));
+ }
+ }
+ return secp256k1_memcmp_var(out[0], out[1], sizeof(out[1]));
+}
+
+/** Keeps a group element as is if it has an even Y and otherwise negates it.
+ * y_parity is set to 0 in the former case and to 1 in the latter case.
+ * Requires that the coordinates of r are normalized. */
+static int secp256k1_extrakeys_ge_even_y(secp256k1_ge *r) {
+ int y_parity = 0;
+ VERIFY_CHECK(!secp256k1_ge_is_infinity(r));
+
+ if (secp256k1_fe_is_odd(&r->y)) {
+ secp256k1_fe_negate(&r->y, &r->y, 1);
+ y_parity = 1;
+ }
+ return y_parity;
+}
+
+int secp256k1_xonly_pubkey_from_pubkey(const secp256k1_context* ctx, secp256k1_xonly_pubkey *xonly_pubkey, int *pk_parity, const secp256k1_pubkey *pubkey) {
+ secp256k1_ge pk;
+ int tmp;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(xonly_pubkey != NULL);
+ ARG_CHECK(pubkey != NULL);
+
+ if (!secp256k1_pubkey_load(ctx, &pk, pubkey)) {
+ return 0;
+ }
+ tmp = secp256k1_extrakeys_ge_even_y(&pk);
+ if (pk_parity != NULL) {
+ *pk_parity = tmp;
+ }
+ secp256k1_xonly_pubkey_save(xonly_pubkey, &pk);
+ return 1;
+}
+
+int secp256k1_xonly_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, const secp256k1_xonly_pubkey *internal_pubkey, const unsigned char *tweak32) {
+ secp256k1_ge pk;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(output_pubkey != NULL);
+ memset(output_pubkey, 0, sizeof(*output_pubkey));
+ ARG_CHECK(internal_pubkey != NULL);
+ ARG_CHECK(tweak32 != NULL);
+
+ if (!secp256k1_xonly_pubkey_load(ctx, &pk, internal_pubkey)
+ || !secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32)) {
+ return 0;
+ }
+ secp256k1_pubkey_save(output_pubkey, &pk);
+ return 1;
+}
+
+int secp256k1_xonly_pubkey_tweak_add_check(const secp256k1_context* ctx, const unsigned char *tweaked_pubkey32, int tweaked_pk_parity, const secp256k1_xonly_pubkey *internal_pubkey, const unsigned char *tweak32) {
+ secp256k1_ge pk;
+ unsigned char pk_expected32[32];
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(internal_pubkey != NULL);
+ ARG_CHECK(tweaked_pubkey32 != NULL);
+ ARG_CHECK(tweak32 != NULL);
+
+ if (!secp256k1_xonly_pubkey_load(ctx, &pk, internal_pubkey)
+ || !secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32)) {
+ return 0;
+ }
+ secp256k1_fe_normalize_var(&pk.x);
+ secp256k1_fe_normalize_var(&pk.y);
+ secp256k1_fe_get_b32(pk_expected32, &pk.x);
+
+ return secp256k1_memcmp_var(&pk_expected32, tweaked_pubkey32, 32) == 0
+ && secp256k1_fe_is_odd(&pk.y) == tweaked_pk_parity;
+}
+
+static void secp256k1_keypair_save(secp256k1_keypair *keypair, const secp256k1_scalar *sk, secp256k1_ge *pk) {
+ secp256k1_scalar_get_b32(&keypair->data[0], sk);
+ secp256k1_pubkey_save((secp256k1_pubkey *)&keypair->data[32], pk);
+}
+
+
+static int secp256k1_keypair_seckey_load(const secp256k1_context* ctx, secp256k1_scalar *sk, const secp256k1_keypair *keypair) {
+ int ret;
+
+ ret = secp256k1_scalar_set_b32_seckey(sk, &keypair->data[0]);
+ /* We can declassify ret here because sk is only zero if a keypair function
+ * failed (which zeroes the keypair) and its return value is ignored. */
+ secp256k1_declassify(ctx, &ret, sizeof(ret));
+ ARG_CHECK(ret);
+ return ret;
+}
+
+/* Load a keypair into pk and sk (if non-NULL). This function declassifies pk
+ * and ARG_CHECKs that the keypair is not invalid. It always initializes sk and
+ * pk with dummy values. */
+static int secp256k1_keypair_load(const secp256k1_context* ctx, secp256k1_scalar *sk, secp256k1_ge *pk, const secp256k1_keypair *keypair) {
+ int ret;
+ const secp256k1_pubkey *pubkey = (const secp256k1_pubkey *)&keypair->data[32];
+
+ /* Need to declassify the pubkey because pubkey_load ARG_CHECKs if it's
+ * invalid. */
+ secp256k1_declassify(ctx, pubkey, sizeof(*pubkey));
+ ret = secp256k1_pubkey_load(ctx, pk, pubkey);
+ if (sk != NULL) {
+ ret = ret && secp256k1_keypair_seckey_load(ctx, sk, keypair);
+ }
+ if (!ret) {
+ *pk = secp256k1_ge_const_g;
+ if (sk != NULL) {
+ *sk = secp256k1_scalar_one;
+ }
+ }
+ return ret;
+}
+
+int secp256k1_keypair_create(const secp256k1_context* ctx, secp256k1_keypair *keypair, const unsigned char *seckey32) {
+ secp256k1_scalar sk;
+ secp256k1_ge pk;
+ int ret = 0;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(keypair != NULL);
+ memset(keypair, 0, sizeof(*keypair));
+ ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+ ARG_CHECK(seckey32 != NULL);
+
+ ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &sk, &pk, seckey32);
+ secp256k1_keypair_save(keypair, &sk, &pk);
+ secp256k1_memczero(keypair, sizeof(*keypair), !ret);
+
+ secp256k1_scalar_clear(&sk);
+ return ret;
+}
+
+int secp256k1_keypair_sec(const secp256k1_context* ctx, unsigned char *seckey, const secp256k1_keypair *keypair) {
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(seckey != NULL);
+ memset(seckey, 0, 32);
+ ARG_CHECK(keypair != NULL);
+
+ memcpy(seckey, &keypair->data[0], 32);
+ return 1;
+}
+
+int secp256k1_keypair_pub(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_keypair *keypair) {
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(pubkey != NULL);
+ memset(pubkey, 0, sizeof(*pubkey));
+ ARG_CHECK(keypair != NULL);
+
+ memcpy(pubkey->data, &keypair->data[32], sizeof(*pubkey));
+ return 1;
+}
+
+int secp256k1_keypair_xonly_pub(const secp256k1_context* ctx, secp256k1_xonly_pubkey *pubkey, int *pk_parity, const secp256k1_keypair *keypair) {
+ secp256k1_ge pk;
+ int tmp;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(pubkey != NULL);
+ memset(pubkey, 0, sizeof(*pubkey));
+ ARG_CHECK(keypair != NULL);
+
+ if (!secp256k1_keypair_load(ctx, NULL, &pk, keypair)) {
+ return 0;
+ }
+ tmp = secp256k1_extrakeys_ge_even_y(&pk);
+ if (pk_parity != NULL) {
+ *pk_parity = tmp;
+ }
+ secp256k1_xonly_pubkey_save(pubkey, &pk);
+
+ return 1;
+}
+
+int secp256k1_keypair_xonly_tweak_add(const secp256k1_context* ctx, secp256k1_keypair *keypair, const unsigned char *tweak32) {
+ secp256k1_ge pk;
+ secp256k1_scalar sk;
+ int y_parity;
+ int ret;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(keypair != NULL);
+ ARG_CHECK(tweak32 != NULL);
+
+ ret = secp256k1_keypair_load(ctx, &sk, &pk, keypair);
+ memset(keypair, 0, sizeof(*keypair));
+
+ y_parity = secp256k1_extrakeys_ge_even_y(&pk);
+ if (y_parity == 1) {
+ secp256k1_scalar_negate(&sk, &sk);
+ }
+
+ ret &= secp256k1_ec_seckey_tweak_add_helper(&sk, tweak32);
+ ret &= secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32);
+
+ secp256k1_declassify(ctx, &ret, sizeof(ret));
+ if (ret) {
+ secp256k1_keypair_save(keypair, &sk, &pk);
+ }
+
+ secp256k1_scalar_clear(&sk);
+ return ret;
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/tests_exhaustive_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/tests_exhaustive_impl.h
new file mode 100644
index 00000000..645bae2d
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/tests_exhaustive_impl.h
@@ -0,0 +1,68 @@
+/***********************************************************************
+ * Copyright (c) 2020 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_H
+#define SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_H
+
+#include "../../../include/secp256k1_extrakeys.h"
+#include "main_impl.h"
+
+static void test_exhaustive_extrakeys(const secp256k1_context *ctx, const secp256k1_ge* group) {
+ secp256k1_keypair keypair[EXHAUSTIVE_TEST_ORDER - 1];
+ secp256k1_pubkey pubkey[EXHAUSTIVE_TEST_ORDER - 1];
+ secp256k1_xonly_pubkey xonly_pubkey[EXHAUSTIVE_TEST_ORDER - 1];
+ int parities[EXHAUSTIVE_TEST_ORDER - 1];
+ unsigned char xonly_pubkey_bytes[EXHAUSTIVE_TEST_ORDER - 1][32];
+ int i;
+
+ for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) {
+ secp256k1_fe fe;
+ secp256k1_scalar scalar_i;
+ unsigned char buf[33];
+ int parity;
+
+ secp256k1_scalar_set_int(&scalar_i, i);
+ secp256k1_scalar_get_b32(buf, &scalar_i);
+
+ /* Construct pubkey and keypair. */
+ CHECK(secp256k1_keypair_create(ctx, &keypair[i - 1], buf));
+ CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey[i - 1], buf));
+
+ /* Construct serialized xonly_pubkey from keypair. */
+ CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pubkey[i - 1], &parities[i - 1], &keypair[i - 1]));
+ CHECK(secp256k1_xonly_pubkey_serialize(ctx, xonly_pubkey_bytes[i - 1], &xonly_pubkey[i - 1]));
+
+ /* Parse the xonly_pubkey back and verify it matches the previously serialized value. */
+ CHECK(secp256k1_xonly_pubkey_parse(ctx, &xonly_pubkey[i - 1], xonly_pubkey_bytes[i - 1]));
+ CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf, &xonly_pubkey[i - 1]));
+ CHECK(secp256k1_memcmp_var(xonly_pubkey_bytes[i - 1], buf, 32) == 0);
+
+ /* Construct the xonly_pubkey from the pubkey, and verify it matches the same. */
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &xonly_pubkey[i - 1], &parity, &pubkey[i - 1]));
+ CHECK(parity == parities[i - 1]);
+ CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf, &xonly_pubkey[i - 1]));
+ CHECK(secp256k1_memcmp_var(xonly_pubkey_bytes[i - 1], buf, 32) == 0);
+
+ /* Compare the xonly_pubkey bytes against the precomputed group. */
+ secp256k1_fe_set_b32_mod(&fe, xonly_pubkey_bytes[i - 1]);
+ CHECK(secp256k1_fe_equal(&fe, &group[i].x));
+
+ /* Check the parity against the precomputed group. */
+ fe = group[i].y;
+ secp256k1_fe_normalize_var(&fe);
+ CHECK(secp256k1_fe_is_odd(&fe) == parities[i - 1]);
+
+ /* Verify that the higher half is identical to the lower half mirrored. */
+ if (i > EXHAUSTIVE_TEST_ORDER / 2) {
+ CHECK(secp256k1_memcmp_var(xonly_pubkey_bytes[i - 1], xonly_pubkey_bytes[EXHAUSTIVE_TEST_ORDER - i - 1], 32) == 0);
+ CHECK(parities[i - 1] == 1 - parities[EXHAUSTIVE_TEST_ORDER - i - 1]);
+ }
+ }
+
+ /* TODO: keypair/xonly_pubkey tweak tests */
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/tests_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/tests_impl.h
new file mode 100644
index 00000000..ab4ef4a7
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/extrakeys/tests_impl.h
@@ -0,0 +1,483 @@
+/***********************************************************************
+ * Copyright (c) 2020 Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_EXTRAKEYS_TESTS_H
+#define SECP256K1_MODULE_EXTRAKEYS_TESTS_H
+
+#include "../../../include/secp256k1_extrakeys.h"
+
+static void test_xonly_pubkey(void) {
+ secp256k1_pubkey pk;
+ secp256k1_xonly_pubkey xonly_pk, xonly_pk_tmp;
+ secp256k1_ge pk1;
+ secp256k1_ge pk2;
+ secp256k1_fe y;
+ unsigned char sk[32];
+ unsigned char xy_sk[32];
+ unsigned char buf32[32];
+ unsigned char ones32[32];
+ unsigned char zeros64[64] = { 0 };
+ int pk_parity;
+ int i;
+
+ testrand256(sk);
+ memset(ones32, 0xFF, 32);
+ testrand256(xy_sk);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1);
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1);
+
+ /* Test xonly_pubkey_from_pubkey */
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_from_pubkey(CTX, NULL, &pk_parity, &pk));
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, NULL));
+ memset(&pk, 0, sizeof(pk));
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk));
+
+ /* Choose a secret key such that the resulting pubkey and xonly_pubkey match. */
+ memset(sk, 0, sizeof(sk));
+ sk[0] = 1;
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1);
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1);
+ CHECK(secp256k1_memcmp_var(&pk, &xonly_pk, sizeof(pk)) == 0);
+ CHECK(pk_parity == 0);
+
+ /* Choose a secret key such that pubkey and xonly_pubkey are each others
+ * negation. */
+ sk[0] = 2;
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1);
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1);
+ CHECK(secp256k1_memcmp_var(&xonly_pk, &pk, sizeof(xonly_pk)) != 0);
+ CHECK(pk_parity == 1);
+ secp256k1_pubkey_load(CTX, &pk1, &pk);
+ secp256k1_pubkey_load(CTX, &pk2, (secp256k1_pubkey *) &xonly_pk);
+ CHECK(secp256k1_fe_equal(&pk1.x, &pk2.x) == 1);
+ secp256k1_fe_negate(&y, &pk2.y, 1);
+ CHECK(secp256k1_fe_equal(&pk1.y, &y) == 1);
+
+ /* Test xonly_pubkey_serialize and xonly_pubkey_parse */
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_serialize(CTX, NULL, &xonly_pk));
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_serialize(CTX, buf32, NULL));
+ CHECK(secp256k1_memcmp_var(buf32, zeros64, 32) == 0);
+ {
+ /* A pubkey filled with 0s will fail to serialize due to pubkey_load
+ * special casing. */
+ secp256k1_xonly_pubkey pk_tmp;
+ memset(&pk_tmp, 0, sizeof(pk_tmp));
+ /* pubkey_load calls illegal callback */
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_serialize(CTX, buf32, &pk_tmp));
+ }
+
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &xonly_pk) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_parse(CTX, NULL, buf32));
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, NULL));
+
+ /* Serialization and parse roundtrip */
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &xonly_pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk_tmp, buf32) == 1);
+ CHECK(secp256k1_memcmp_var(&xonly_pk, &xonly_pk_tmp, sizeof(xonly_pk)) == 0);
+
+ /* Test parsing invalid field elements */
+ memset(&xonly_pk, 1, sizeof(xonly_pk));
+ /* Overflowing field element */
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, ones32) == 0);
+ CHECK(secp256k1_memcmp_var(&xonly_pk, zeros64, sizeof(xonly_pk)) == 0);
+ memset(&xonly_pk, 1, sizeof(xonly_pk));
+ /* There's no point with x-coordinate 0 on secp256k1 */
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, zeros64) == 0);
+ CHECK(secp256k1_memcmp_var(&xonly_pk, zeros64, sizeof(xonly_pk)) == 0);
+ /* If a random 32-byte string can not be parsed with ec_pubkey_parse
+ * (because interpreted as X coordinate it does not correspond to a point on
+ * the curve) then xonly_pubkey_parse should fail as well. */
+ for (i = 0; i < COUNT; i++) {
+ unsigned char rand33[33];
+ testrand256(&rand33[1]);
+ rand33[0] = SECP256K1_TAG_PUBKEY_EVEN;
+ if (!secp256k1_ec_pubkey_parse(CTX, &pk, rand33, 33)) {
+ memset(&xonly_pk, 1, sizeof(xonly_pk));
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, &rand33[1]) == 0);
+ CHECK(secp256k1_memcmp_var(&xonly_pk, zeros64, sizeof(xonly_pk)) == 0);
+ } else {
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &xonly_pk, &rand33[1]) == 1);
+ }
+ }
+}
+
+static void test_xonly_pubkey_comparison(void) {
+ unsigned char pk1_ser[32] = {
+ 0x58, 0x84, 0xb3, 0xa2, 0x4b, 0x97, 0x37, 0x88, 0x92, 0x38, 0xa6, 0x26, 0x62, 0x52, 0x35, 0x11,
+ 0xd0, 0x9a, 0xa1, 0x1b, 0x80, 0x0b, 0x5e, 0x93, 0x80, 0x26, 0x11, 0xef, 0x67, 0x4b, 0xd9, 0x23
+ };
+ const unsigned char pk2_ser[32] = {
+ 0xde, 0x36, 0x0e, 0x87, 0x59, 0x8f, 0x3c, 0x01, 0x36, 0x2a, 0x2a, 0xb8, 0xc6, 0xf4, 0x5e, 0x4d,
+ 0xb2, 0xc2, 0xd5, 0x03, 0xa7, 0xf9, 0xf1, 0x4f, 0xa8, 0xfa, 0x95, 0xa8, 0xe9, 0x69, 0x76, 0x1c
+ };
+ secp256k1_xonly_pubkey pk1;
+ secp256k1_xonly_pubkey pk2;
+
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk1, pk1_ser) == 1);
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk2, pk2_ser) == 1);
+
+ CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, NULL, &pk2) < 0));
+ CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, NULL) > 0));
+ CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk2) < 0);
+ CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk1) > 0);
+ CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk1) == 0);
+ CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk2) == 0);
+ memset(&pk1, 0, sizeof(pk1)); /* illegal pubkey */
+ CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk2) < 0));
+ {
+ int32_t ecount = 0;
+ secp256k1_context_set_illegal_callback(CTX, counting_callback_fn, &ecount);
+ CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk1, &pk1) == 0);
+ CHECK(ecount == 2);
+ secp256k1_context_set_illegal_callback(CTX, NULL, NULL);
+ }
+ CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_xonly_pubkey_cmp(CTX, &pk2, &pk1) > 0));
+}
+
+static void test_xonly_pubkey_tweak(void) {
+ unsigned char zeros64[64] = { 0 };
+ unsigned char overflows[32];
+ unsigned char sk[32];
+ secp256k1_pubkey internal_pk;
+ secp256k1_xonly_pubkey internal_xonly_pk;
+ secp256k1_pubkey output_pk;
+ int pk_parity;
+ unsigned char tweak[32];
+ int i;
+
+ memset(overflows, 0xff, sizeof(overflows));
+ testrand256(tweak);
+ testrand256(sk);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &internal_pk, sk) == 1);
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &internal_xonly_pk, &pk_parity, &internal_pk) == 1);
+
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, NULL, &internal_xonly_pk, tweak));
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, NULL, tweak));
+ /* NULL internal_xonly_pk zeroes the output_pk */
+ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, NULL));
+ /* NULL tweak zeroes the output_pk */
+ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0);
+
+ /* Invalid tweak zeroes the output_pk */
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, overflows) == 0);
+ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0);
+
+ /* A zero tweak is fine */
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, zeros64) == 1);
+
+ /* Fails if the resulting key was infinity */
+ for (i = 0; i < COUNT; i++) {
+ secp256k1_scalar scalar_tweak;
+ /* Because sk may be negated before adding, we need to try with tweak =
+ * sk as well as tweak = -sk. */
+ secp256k1_scalar_set_b32(&scalar_tweak, sk, NULL);
+ secp256k1_scalar_negate(&scalar_tweak, &scalar_tweak);
+ secp256k1_scalar_get_b32(tweak, &scalar_tweak);
+ CHECK((secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, sk) == 0)
+ || (secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 0));
+ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0);
+ }
+
+ /* Invalid pk with a valid tweak */
+ memset(&internal_xonly_pk, 0, sizeof(internal_xonly_pk));
+ testrand256(tweak);
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak));
+ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0);
+}
+
+static void test_xonly_pubkey_tweak_check(void) {
+ unsigned char zeros64[64] = { 0 };
+ unsigned char overflows[32];
+ unsigned char sk[32];
+ secp256k1_pubkey internal_pk;
+ secp256k1_xonly_pubkey internal_xonly_pk;
+ secp256k1_pubkey output_pk;
+ secp256k1_xonly_pubkey output_xonly_pk;
+ unsigned char output_pk32[32];
+ unsigned char buf32[32];
+ int pk_parity;
+ unsigned char tweak[32];
+
+ memset(overflows, 0xff, sizeof(overflows));
+ testrand256(tweak);
+ testrand256(sk);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &internal_pk, sk) == 1);
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &internal_xonly_pk, &pk_parity, &internal_pk) == 1);
+
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1);
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &output_xonly_pk, &pk_parity, &output_pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &output_xonly_pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add_check(CTX, NULL, pk_parity, &internal_xonly_pk, tweak));
+ /* invalid pk_parity value */
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, 2, &internal_xonly_pk, tweak) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, NULL, tweak));
+ CHECK_ILLEGAL(CTX, secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, NULL));
+
+ memset(tweak, 1, sizeof(tweak));
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &internal_xonly_pk, NULL, &internal_pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, tweak) == 1);
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &output_xonly_pk, &pk_parity, &output_pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, output_pk32, &output_xonly_pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk32, pk_parity, &internal_xonly_pk, tweak) == 1);
+
+ /* Wrong pk_parity */
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk32, !pk_parity, &internal_xonly_pk, tweak) == 0);
+ /* Wrong public key */
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, buf32, &internal_xonly_pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, buf32, pk_parity, &internal_xonly_pk, tweak) == 0);
+
+ /* Overflowing tweak not allowed */
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk32, pk_parity, &internal_xonly_pk, overflows) == 0);
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk, &internal_xonly_pk, overflows) == 0);
+ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0);
+}
+
+/* Starts with an initial pubkey and recursively creates N_PUBKEYS - 1
+ * additional pubkeys by calling tweak_add. Then verifies every tweak starting
+ * from the last pubkey. */
+#define N_PUBKEYS 32
+static void test_xonly_pubkey_tweak_recursive(void) {
+ unsigned char sk[32];
+ secp256k1_pubkey pk[N_PUBKEYS];
+ unsigned char pk_serialized[32];
+ unsigned char tweak[N_PUBKEYS - 1][32];
+ int i;
+
+ testrand256(sk);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pk[0], sk) == 1);
+ /* Add tweaks */
+ for (i = 0; i < N_PUBKEYS - 1; i++) {
+ secp256k1_xonly_pubkey xonly_pk;
+ memset(tweak[i], i + 1, sizeof(tweak[i]));
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk[i]) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &pk[i + 1], &xonly_pk, tweak[i]) == 1);
+ }
+
+ /* Verify tweaks */
+ for (i = N_PUBKEYS - 1; i > 0; i--) {
+ secp256k1_xonly_pubkey xonly_pk;
+ int pk_parity;
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk[i]) == 1);
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, pk_serialized, &xonly_pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, NULL, &pk[i - 1]) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, pk_serialized, pk_parity, &xonly_pk, tweak[i - 1]) == 1);
+ }
+}
+#undef N_PUBKEYS
+
+static void test_keypair(void) {
+ unsigned char sk[32];
+ unsigned char sk_tmp[32];
+ unsigned char zeros96[96] = { 0 };
+ unsigned char overflows[32];
+ secp256k1_keypair keypair;
+ secp256k1_pubkey pk, pk_tmp;
+ secp256k1_xonly_pubkey xonly_pk, xonly_pk_tmp;
+ int pk_parity, pk_parity_tmp;
+
+ CHECK(sizeof(zeros96) == sizeof(keypair));
+ memset(overflows, 0xFF, sizeof(overflows));
+
+ /* Test keypair_create */
+ testrand256(sk);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0);
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_create(CTX, NULL, sk));
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_create(CTX, &keypair, NULL));
+ CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_keypair_create(STATIC_CTX, &keypair, sk));
+ CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0);
+
+ /* Invalid secret key */
+ CHECK(secp256k1_keypair_create(CTX, &keypair, zeros96) == 0);
+ CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, overflows) == 0);
+ CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0);
+
+ /* Test keypair_pub */
+ testrand256(sk);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_pub(CTX, &pk, &keypair) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_pub(CTX, NULL, &keypair));
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_pub(CTX, &pk, NULL));
+ CHECK(secp256k1_memcmp_var(zeros96, &pk, sizeof(pk)) == 0);
+
+ /* Using an invalid keypair is fine for keypair_pub */
+ memset(&keypair, 0, sizeof(keypair));
+ CHECK(secp256k1_keypair_pub(CTX, &pk, &keypair) == 1);
+ CHECK(secp256k1_memcmp_var(zeros96, &pk, sizeof(pk)) == 0);
+
+ /* keypair holds the same pubkey as pubkey_create */
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_pub(CTX, &pk_tmp, &keypair) == 1);
+ CHECK(secp256k1_memcmp_var(&pk, &pk_tmp, sizeof(pk)) == 0);
+
+ /** Test keypair_xonly_pub **/
+ testrand256(sk);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_pub(CTX, NULL, &pk_parity, &keypair));
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, NULL, &keypair) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, NULL));
+ CHECK(secp256k1_memcmp_var(zeros96, &xonly_pk, sizeof(xonly_pk)) == 0);
+ /* Using an invalid keypair will set the xonly_pk to 0 (first reset
+ * xonly_pk). */
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair) == 1);
+ memset(&keypair, 0, sizeof(keypair));
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_pub(CTX, &xonly_pk, &pk_parity, &keypair));
+ CHECK(secp256k1_memcmp_var(zeros96, &xonly_pk, sizeof(xonly_pk)) == 0);
+
+ /** keypair holds the same xonly pubkey as pubkey_create **/
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pk, sk) == 1);
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &xonly_pk, &pk_parity, &pk) == 1);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &xonly_pk_tmp, &pk_parity_tmp, &keypair) == 1);
+ CHECK(secp256k1_memcmp_var(&xonly_pk, &xonly_pk_tmp, sizeof(pk)) == 0);
+ CHECK(pk_parity == pk_parity_tmp);
+
+ /* Test keypair_seckey */
+ testrand256(sk);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_sec(CTX, sk_tmp, &keypair) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_sec(CTX, NULL, &keypair));
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_sec(CTX, sk_tmp, NULL));
+ CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0);
+
+ /* keypair returns the same seckey it got */
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_sec(CTX, sk_tmp, &keypair) == 1);
+ CHECK(secp256k1_memcmp_var(sk, sk_tmp, sizeof(sk_tmp)) == 0);
+
+
+ /* Using an invalid keypair is fine for keypair_seckey */
+ memset(&keypair, 0, sizeof(keypair));
+ CHECK(secp256k1_keypair_sec(CTX, sk_tmp, &keypair) == 1);
+ CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0);
+}
+
+static void test_keypair_add(void) {
+ unsigned char sk[32];
+ secp256k1_keypair keypair;
+ unsigned char overflows[32];
+ unsigned char zeros96[96] = { 0 };
+ unsigned char tweak[32];
+ int i;
+
+ CHECK(sizeof(zeros96) == sizeof(keypair));
+ testrand256(sk);
+ testrand256(tweak);
+ memset(overflows, 0xFF, 32);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+
+ CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1);
+ CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1);
+ CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, NULL, tweak));
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, NULL));
+ /* This does not set the keypair to zeroes */
+ CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) != 0);
+
+ /* Invalid tweak zeroes the keypair */
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, overflows) == 0);
+ CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) == 0);
+
+ /* A zero tweak is fine */
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, zeros96) == 1);
+
+ /* Fails if the resulting keypair was (sk=0, pk=infinity) */
+ for (i = 0; i < COUNT; i++) {
+ secp256k1_scalar scalar_tweak;
+ secp256k1_keypair keypair_tmp;
+ testrand256(sk);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ memcpy(&keypair_tmp, &keypair, sizeof(keypair));
+ /* Because sk may be negated before adding, we need to try with tweak =
+ * sk as well as tweak = -sk. */
+ secp256k1_scalar_set_b32(&scalar_tweak, sk, NULL);
+ secp256k1_scalar_negate(&scalar_tweak, &scalar_tweak);
+ secp256k1_scalar_get_b32(tweak, &scalar_tweak);
+ CHECK((secp256k1_keypair_xonly_tweak_add(CTX, &keypair, sk) == 0)
+ || (secp256k1_keypair_xonly_tweak_add(CTX, &keypair_tmp, tweak) == 0));
+ CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) == 0
+ || secp256k1_memcmp_var(&keypair_tmp, zeros96, sizeof(keypair_tmp)) == 0);
+ }
+
+ /* Invalid keypair with a valid tweak */
+ memset(&keypair, 0, sizeof(keypair));
+ testrand256(tweak);
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak));
+ CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) == 0);
+ /* Only seckey part of keypair invalid */
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ memset(&keypair, 0, 32);
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak));
+ /* Only pubkey part of keypair invalid */
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ memset(&keypair.data[32], 0, 64);
+ CHECK_ILLEGAL(CTX, secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak));
+
+ /* Check that the keypair_tweak_add implementation is correct */
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ for (i = 0; i < COUNT; i++) {
+ secp256k1_xonly_pubkey internal_pk;
+ secp256k1_xonly_pubkey output_pk;
+ secp256k1_pubkey output_pk_xy;
+ secp256k1_pubkey output_pk_expected;
+ unsigned char pk32[32];
+ unsigned char sk32[32];
+ int pk_parity;
+
+ testrand256(tweak);
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &internal_pk, NULL, &keypair) == 1);
+ CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1);
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &output_pk, &pk_parity, &keypair) == 1);
+
+ /* Check that it passes xonly_pubkey_tweak_add_check */
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, pk32, &output_pk) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, pk32, pk_parity, &internal_pk, tweak) == 1);
+
+ /* Check that the resulting pubkey matches xonly_pubkey_tweak_add */
+ CHECK(secp256k1_keypair_pub(CTX, &output_pk_xy, &keypair) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add(CTX, &output_pk_expected, &internal_pk, tweak) == 1);
+ CHECK(secp256k1_memcmp_var(&output_pk_xy, &output_pk_expected, sizeof(output_pk_xy)) == 0);
+
+ /* Check that the secret key in the keypair is tweaked correctly */
+ CHECK(secp256k1_keypair_sec(CTX, sk32, &keypair) == 1);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &output_pk_expected, sk32) == 1);
+ CHECK(secp256k1_memcmp_var(&output_pk_xy, &output_pk_expected, sizeof(output_pk_xy)) == 0);
+ }
+}
+
+static void run_extrakeys_tests(void) {
+ /* xonly key test cases */
+ test_xonly_pubkey();
+ test_xonly_pubkey_tweak();
+ test_xonly_pubkey_tweak_check();
+ test_xonly_pubkey_tweak_recursive();
+ test_xonly_pubkey_comparison();
+
+ /* keypair tests */
+ test_keypair();
+ test_keypair_add();
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/Makefile.am.include b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/Makefile.am.include
new file mode 100644
index 00000000..796443c9
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/Makefile.am.include
@@ -0,0 +1,8 @@
+include_HEADERS += include/secp256k1_musig.h
+noinst_HEADERS += src/modules/musig/main_impl.h
+noinst_HEADERS += src/modules/musig/keyagg.h
+noinst_HEADERS += src/modules/musig/keyagg_impl.h
+noinst_HEADERS += src/modules/musig/session.h
+noinst_HEADERS += src/modules/musig/session_impl.h
+noinst_HEADERS += src/modules/musig/tests_impl.h
+noinst_HEADERS += src/modules/musig/vectors.h
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/keyagg.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/keyagg.h
new file mode 100644
index 00000000..a0b37252
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/keyagg.h
@@ -0,0 +1,32 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_MUSIG_KEYAGG_H
+#define SECP256K1_MODULE_MUSIG_KEYAGG_H
+
+#include "../../../include/secp256k1.h"
+#include "../../../include/secp256k1_musig.h"
+
+#include "../../group.h"
+#include "../../scalar.h"
+
+typedef struct {
+ secp256k1_ge pk;
+ /* If there is no "second" public key, second_pk is set to the point at
+ * infinity */
+ secp256k1_ge second_pk;
+ unsigned char pks_hash[32];
+ /* tweak is identical to value tacc[v] in the specification. */
+ secp256k1_scalar tweak;
+ /* parity_acc corresponds to (1 - gacc[v])/2 in the spec. So if gacc[v] is
+ * -1, parity_acc is 1. Otherwise, parity_acc is 0. */
+ int parity_acc;
+} secp256k1_keyagg_cache_internal;
+
+static int secp256k1_keyagg_cache_load(const secp256k1_context* ctx, secp256k1_keyagg_cache_internal *cache_i, const secp256k1_musig_keyagg_cache *cache);
+
+static void secp256k1_musig_keyaggcoef(secp256k1_scalar *r, const secp256k1_keyagg_cache_internal *cache_i, secp256k1_ge *pk);
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/keyagg_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/keyagg_impl.h
new file mode 100644
index 00000000..0db4fce8
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/keyagg_impl.h
@@ -0,0 +1,291 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_MUSIG_KEYAGG_IMPL_H
+#define SECP256K1_MODULE_MUSIG_KEYAGG_IMPL_H
+
+#include
+
+#include "keyagg.h"
+#include "../../eckey.h"
+#include "../../ecmult.h"
+#include "../../field.h"
+#include "../../group.h"
+#include "../../hash.h"
+#include "../../util.h"
+
+static const unsigned char secp256k1_musig_keyagg_cache_magic[4] = { 0xf4, 0xad, 0xbb, 0xdf };
+
+/* A keyagg cache consists of
+ * - 4 byte magic set during initialization to allow detecting an uninitialized
+ * object.
+ * - 64 byte aggregate (and potentially tweaked) public key
+ * - 64 byte "second" public key (set to the point at infinity if not present)
+ * - 32 byte hash of all public keys
+ * - 1 byte the parity of the internal key (if tweaked, otherwise 0)
+ * - 32 byte tweak
+ */
+/* Requires that cache_i->pk is not infinity. */
+static void secp256k1_keyagg_cache_save(secp256k1_musig_keyagg_cache *cache, const secp256k1_keyagg_cache_internal *cache_i) {
+ unsigned char *ptr = cache->data;
+ memcpy(ptr, secp256k1_musig_keyagg_cache_magic, 4);
+ ptr += 4;
+ secp256k1_ge_to_bytes(ptr, &cache_i->pk);
+ ptr += 64;
+ secp256k1_ge_to_bytes_ext(ptr, &cache_i->second_pk);
+ ptr += 64;
+ memcpy(ptr, cache_i->pks_hash, 32);
+ ptr += 32;
+ *ptr = cache_i->parity_acc;
+ ptr += 1;
+ secp256k1_scalar_get_b32(ptr, &cache_i->tweak);
+}
+
+static int secp256k1_keyagg_cache_load(const secp256k1_context* ctx, secp256k1_keyagg_cache_internal *cache_i, const secp256k1_musig_keyagg_cache *cache) {
+ const unsigned char *ptr = cache->data;
+ ARG_CHECK(secp256k1_memcmp_var(ptr, secp256k1_musig_keyagg_cache_magic, 4) == 0);
+ ptr += 4;
+ secp256k1_ge_from_bytes(&cache_i->pk, ptr);
+ ptr += 64;
+ secp256k1_ge_from_bytes_ext(&cache_i->second_pk, ptr);
+ ptr += 64;
+ memcpy(cache_i->pks_hash, ptr, 32);
+ ptr += 32;
+ cache_i->parity_acc = *ptr & 1;
+ ptr += 1;
+ secp256k1_scalar_set_b32(&cache_i->tweak, ptr, NULL);
+ return 1;
+}
+
+/* Initializes SHA256 with fixed midstate. This midstate was computed by applying
+ * SHA256 to SHA256("KeyAgg list")||SHA256("KeyAgg list"). */
+static void secp256k1_musig_keyagglist_sha256(secp256k1_sha256 *sha) {
+ secp256k1_sha256_initialize(sha);
+
+ sha->s[0] = 0xb399d5e0ul;
+ sha->s[1] = 0xc8fff302ul;
+ sha->s[2] = 0x6badac71ul;
+ sha->s[3] = 0x07c5b7f1ul;
+ sha->s[4] = 0x9701e2eful;
+ sha->s[5] = 0x2a72ecf8ul;
+ sha->s[6] = 0x201a4c7bul;
+ sha->s[7] = 0xab148a38ul;
+ sha->bytes = 64;
+}
+
+/* Computes pks_hash = tagged_hash(pk[0], ..., pk[np-1]) */
+static int secp256k1_musig_compute_pks_hash(const secp256k1_context *ctx, unsigned char *pks_hash, const secp256k1_pubkey * const* pks, size_t np) {
+ secp256k1_sha256 sha;
+ size_t i;
+
+ secp256k1_musig_keyagglist_sha256(&sha);
+ for (i = 0; i < np; i++) {
+ unsigned char ser[33];
+ size_t ser_len = sizeof(ser);
+ if (!secp256k1_ec_pubkey_serialize(ctx, ser, &ser_len, pks[i], SECP256K1_EC_COMPRESSED)) {
+ return 0;
+ }
+ VERIFY_CHECK(ser_len == sizeof(ser));
+ secp256k1_sha256_write(&sha, ser, sizeof(ser));
+ }
+ secp256k1_sha256_finalize(&sha, pks_hash);
+ return 1;
+}
+
+/* Initializes SHA256 with fixed midstate. This midstate was computed by applying
+ * SHA256 to SHA256("KeyAgg coefficient")||SHA256("KeyAgg coefficient"). */
+static void secp256k1_musig_keyaggcoef_sha256(secp256k1_sha256 *sha) {
+ secp256k1_sha256_initialize(sha);
+
+ sha->s[0] = 0x6ef02c5aul;
+ sha->s[1] = 0x06a480deul;
+ sha->s[2] = 0x1f298665ul;
+ sha->s[3] = 0x1d1134f2ul;
+ sha->s[4] = 0x56a0b063ul;
+ sha->s[5] = 0x52da4147ul;
+ sha->s[6] = 0xf280d9d4ul;
+ sha->s[7] = 0x4484be15ul;
+ sha->bytes = 64;
+}
+
+/* Compute KeyAgg coefficient which is constant 1 for the second pubkey and
+ * otherwise tagged_hash(pks_hash, pk) where pks_hash is the hash of public keys.
+ * second_pk is the point at infinity in case there is no second_pk. Assumes
+ * that pk is not the point at infinity and that the Y-coordinates of pk and
+ * second_pk are normalized. */
+static void secp256k1_musig_keyaggcoef_internal(secp256k1_scalar *r, const unsigned char *pks_hash, secp256k1_ge *pk, const secp256k1_ge *second_pk) {
+ VERIFY_CHECK(!secp256k1_ge_is_infinity(pk));
+
+ if (!secp256k1_ge_is_infinity(second_pk)
+ && secp256k1_ge_eq_var(pk, second_pk)) {
+ secp256k1_scalar_set_int(r, 1);
+ } else {
+ secp256k1_sha256 sha;
+ unsigned char buf[33];
+ size_t buflen = sizeof(buf);
+ int ret;
+ secp256k1_musig_keyaggcoef_sha256(&sha);
+ secp256k1_sha256_write(&sha, pks_hash, 32);
+ ret = secp256k1_eckey_pubkey_serialize(pk, buf, &buflen, 1);
+#ifdef VERIFY
+ /* Serialization does not fail since the pk is not the point at infinity
+ * (according to this function's precondition). */
+ VERIFY_CHECK(ret && buflen == sizeof(buf));
+#else
+ (void) ret;
+#endif
+ secp256k1_sha256_write(&sha, buf, sizeof(buf));
+ secp256k1_sha256_finalize(&sha, buf);
+ secp256k1_scalar_set_b32(r, buf, NULL);
+ }
+}
+
+/* Assumes that pk is not the point at infinity and that the Y-coordinates of pk
+ * and cache_i->second_pk are normalized. */
+static void secp256k1_musig_keyaggcoef(secp256k1_scalar *r, const secp256k1_keyagg_cache_internal *cache_i, secp256k1_ge *pk) {
+ secp256k1_musig_keyaggcoef_internal(r, cache_i->pks_hash, pk, &cache_i->second_pk);
+}
+
+typedef struct {
+ const secp256k1_context *ctx;
+ /* pks_hash is the hash of the public keys */
+ unsigned char pks_hash[32];
+ const secp256k1_pubkey * const* pks;
+ secp256k1_ge second_pk;
+} secp256k1_musig_pubkey_agg_ecmult_data;
+
+/* Callback for batch EC multiplication to compute keyaggcoef_0*P0 + keyaggcoef_1*P1 + ... */
+static int secp256k1_musig_pubkey_agg_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *data) {
+ secp256k1_musig_pubkey_agg_ecmult_data *ctx = (secp256k1_musig_pubkey_agg_ecmult_data *) data;
+ int ret;
+ ret = secp256k1_pubkey_load(ctx->ctx, pt, ctx->pks[idx]);
+#ifdef VERIFY
+ /* pubkey_load can't fail because the same pks have already been loaded in
+ * `musig_compute_pks_hash` (and we test this). */
+ VERIFY_CHECK(ret);
+#else
+ (void) ret;
+#endif
+ secp256k1_musig_keyaggcoef_internal(sc, ctx->pks_hash, pt, &ctx->second_pk);
+ return 1;
+}
+
+int secp256k1_musig_pubkey_agg(const secp256k1_context* ctx, secp256k1_xonly_pubkey *agg_pk, secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_pubkey * const* pubkeys, size_t n_pubkeys) {
+ secp256k1_musig_pubkey_agg_ecmult_data ecmult_data;
+ secp256k1_gej pkj;
+ secp256k1_ge pkp;
+ size_t i;
+
+ VERIFY_CHECK(ctx != NULL);
+ if (agg_pk != NULL) {
+ memset(agg_pk, 0, sizeof(*agg_pk));
+ }
+ ARG_CHECK(pubkeys != NULL);
+ ARG_CHECK(n_pubkeys > 0);
+
+ ecmult_data.ctx = ctx;
+ ecmult_data.pks = pubkeys;
+
+ secp256k1_ge_set_infinity(&ecmult_data.second_pk);
+ for (i = 1; i < n_pubkeys; i++) {
+ if (secp256k1_memcmp_var(pubkeys[0], pubkeys[i], sizeof(*pubkeys[0])) != 0) {
+ secp256k1_ge pk;
+ if (!secp256k1_pubkey_load(ctx, &pk, pubkeys[i])) {
+ return 0;
+ }
+ ecmult_data.second_pk = pk;
+ break;
+ }
+ }
+
+ if (!secp256k1_musig_compute_pks_hash(ctx, ecmult_data.pks_hash, pubkeys, n_pubkeys)) {
+ return 0;
+ }
+ /* TODO: actually use optimized ecmult_multi algorithms by providing a
+ * scratch space */
+ if (!secp256k1_ecmult_multi_var(&ctx->error_callback, NULL, &pkj, NULL, secp256k1_musig_pubkey_agg_callback, (void *) &ecmult_data, n_pubkeys)) {
+ /* In order to reach this line with the current implementation of
+ * ecmult_multi_var one would need to provide a callback that can
+ * fail. */
+ return 0;
+ }
+ secp256k1_ge_set_gej(&pkp, &pkj);
+ secp256k1_fe_normalize_var(&pkp.y);
+ /* The resulting public key is infinity with negligible probability */
+ VERIFY_CHECK(!secp256k1_ge_is_infinity(&pkp));
+ if (keyagg_cache != NULL) {
+ secp256k1_keyagg_cache_internal cache_i = { 0 };
+ cache_i.pk = pkp;
+ cache_i.second_pk = ecmult_data.second_pk;
+ memcpy(cache_i.pks_hash, ecmult_data.pks_hash, sizeof(cache_i.pks_hash));
+ secp256k1_keyagg_cache_save(keyagg_cache, &cache_i);
+ }
+
+ if (agg_pk != NULL) {
+ secp256k1_extrakeys_ge_even_y(&pkp);
+ secp256k1_xonly_pubkey_save(agg_pk, &pkp);
+ }
+ return 1;
+}
+
+int secp256k1_musig_pubkey_get(const secp256k1_context* ctx, secp256k1_pubkey *agg_pk, const secp256k1_musig_keyagg_cache *keyagg_cache) {
+ secp256k1_keyagg_cache_internal cache_i;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(agg_pk != NULL);
+ memset(agg_pk, 0, sizeof(*agg_pk));
+ ARG_CHECK(keyagg_cache != NULL);
+
+ if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
+ return 0;
+ }
+ secp256k1_pubkey_save(agg_pk, &cache_i.pk);
+ return 1;
+}
+
+static int secp256k1_musig_pubkey_tweak_add_internal(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32, int xonly) {
+ secp256k1_keyagg_cache_internal cache_i;
+ int overflow = 0;
+ secp256k1_scalar tweak;
+
+ VERIFY_CHECK(ctx != NULL);
+ if (output_pubkey != NULL) {
+ memset(output_pubkey, 0, sizeof(*output_pubkey));
+ }
+ ARG_CHECK(keyagg_cache != NULL);
+ ARG_CHECK(tweak32 != NULL);
+
+ if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
+ return 0;
+ }
+ secp256k1_scalar_set_b32(&tweak, tweak32, &overflow);
+ if (overflow) {
+ return 0;
+ }
+ if (xonly && secp256k1_extrakeys_ge_even_y(&cache_i.pk)) {
+ cache_i.parity_acc ^= 1;
+ secp256k1_scalar_negate(&cache_i.tweak, &cache_i.tweak);
+ }
+ secp256k1_scalar_add(&cache_i.tweak, &cache_i.tweak, &tweak);
+ if (!secp256k1_eckey_pubkey_tweak_add(&cache_i.pk, &tweak)) {
+ return 0;
+ }
+ /* eckey_pubkey_tweak_add fails if cache_i.pk is infinity */
+ VERIFY_CHECK(!secp256k1_ge_is_infinity(&cache_i.pk));
+ secp256k1_keyagg_cache_save(keyagg_cache, &cache_i);
+ if (output_pubkey != NULL) {
+ secp256k1_pubkey_save(output_pubkey, &cache_i.pk);
+ }
+ return 1;
+}
+
+int secp256k1_musig_pubkey_ec_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32) {
+ return secp256k1_musig_pubkey_tweak_add_internal(ctx, output_pubkey, keyagg_cache, tweak32, 0);
+}
+
+int secp256k1_musig_pubkey_xonly_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32) {
+ return secp256k1_musig_pubkey_tweak_add_internal(ctx, output_pubkey, keyagg_cache, tweak32, 1);
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/main_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/main_impl.h
new file mode 100644
index 00000000..a1311e41
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/main_impl.h
@@ -0,0 +1,12 @@
+/**********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODULE_MUSIG_MAIN_H
+#define SECP256K1_MODULE_MUSIG_MAIN_H
+
+#include "keyagg_impl.h"
+#include "session_impl.h"
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/session.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/session.h
new file mode 100644
index 00000000..d6d76bc6
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/session.h
@@ -0,0 +1,24 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_MUSIG_SESSION_H
+#define SECP256K1_MODULE_MUSIG_SESSION_H
+
+#include "../../../include/secp256k1.h"
+#include "../../../include/secp256k1_musig.h"
+
+#include "../../scalar.h"
+
+typedef struct {
+ int fin_nonce_parity;
+ unsigned char fin_nonce[32];
+ secp256k1_scalar noncecoef;
+ secp256k1_scalar challenge;
+ secp256k1_scalar s_part;
+} secp256k1_musig_session_internal;
+
+static int secp256k1_musig_session_load(const secp256k1_context* ctx, secp256k1_musig_session_internal *session_i, const secp256k1_musig_session *session);
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/session_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/session_impl.h
new file mode 100644
index 00000000..dde38085
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/session_impl.h
@@ -0,0 +1,816 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_MUSIG_SESSION_IMPL_H
+#define SECP256K1_MODULE_MUSIG_SESSION_IMPL_H
+
+#include
+
+#include "../../../include/secp256k1.h"
+#include "../../../include/secp256k1_extrakeys.h"
+#include "../../../include/secp256k1_musig.h"
+
+#include "keyagg.h"
+#include "session.h"
+#include "../../eckey.h"
+#include "../../hash.h"
+#include "../../scalar.h"
+#include "../../util.h"
+
+/* Outputs 33 zero bytes if the given group element is the point at infinity and
+ * otherwise outputs the compressed serialization */
+static void secp256k1_musig_ge_serialize_ext(unsigned char *out33, secp256k1_ge* ge) {
+ if (secp256k1_ge_is_infinity(ge)) {
+ memset(out33, 0, 33);
+ } else {
+ int ret;
+ size_t size = 33;
+ ret = secp256k1_eckey_pubkey_serialize(ge, out33, &size, 1);
+#ifdef VERIFY
+ /* Serialize must succeed because the point is not at infinity */
+ VERIFY_CHECK(ret && size == 33);
+#else
+ (void) ret;
+#endif
+ }
+}
+
+/* Outputs the point at infinity if the given byte array is all zero, otherwise
+ * attempts to parse compressed point serialization. */
+static int secp256k1_musig_ge_parse_ext(secp256k1_ge* ge, const unsigned char *in33) {
+ unsigned char zeros[33] = { 0 };
+
+ if (secp256k1_memcmp_var(in33, zeros, sizeof(zeros)) == 0) {
+ secp256k1_ge_set_infinity(ge);
+ return 1;
+ }
+ if (!secp256k1_eckey_pubkey_parse(ge, in33, 33)) {
+ return 0;
+ }
+ return secp256k1_ge_is_in_correct_subgroup(ge);
+}
+
+static const unsigned char secp256k1_musig_secnonce_magic[4] = { 0x22, 0x0e, 0xdc, 0xf1 };
+
+static void secp256k1_musig_secnonce_save(secp256k1_musig_secnonce *secnonce, const secp256k1_scalar *k, const secp256k1_ge *pk) {
+ memcpy(&secnonce->data[0], secp256k1_musig_secnonce_magic, 4);
+ secp256k1_scalar_get_b32(&secnonce->data[4], &k[0]);
+ secp256k1_scalar_get_b32(&secnonce->data[36], &k[1]);
+ secp256k1_ge_to_bytes(&secnonce->data[68], pk);
+}
+
+static int secp256k1_musig_secnonce_load(const secp256k1_context* ctx, secp256k1_scalar *k, secp256k1_ge *pk, const secp256k1_musig_secnonce *secnonce) {
+ int is_zero;
+ ARG_CHECK(secp256k1_memcmp_var(&secnonce->data[0], secp256k1_musig_secnonce_magic, 4) == 0);
+ /* We make very sure that the nonce isn't invalidated by checking the values
+ * in addition to the magic. */
+ is_zero = secp256k1_is_zero_array(&secnonce->data[4], 2 * 32);
+ secp256k1_declassify(ctx, &is_zero, sizeof(is_zero));
+ ARG_CHECK(!is_zero);
+
+ secp256k1_scalar_set_b32(&k[0], &secnonce->data[4], NULL);
+ secp256k1_scalar_set_b32(&k[1], &secnonce->data[36], NULL);
+ secp256k1_ge_from_bytes(pk, &secnonce->data[68]);
+ return 1;
+}
+
+/* If flag is true, invalidate the secnonce; otherwise leave it. Constant-time. */
+static void secp256k1_musig_secnonce_invalidate(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, int flag) {
+ secp256k1_memczero(secnonce->data, sizeof(secnonce->data), flag);
+ /* The flag argument is usually classified. So, the line above makes the
+ * magic and public key classified. However, we need both to be
+ * declassified. Note that we don't declassify the entire object, because if
+ * flag is 0, then k[0] and k[1] have not been zeroed. */
+ secp256k1_declassify(ctx, secnonce->data, sizeof(secp256k1_musig_secnonce_magic));
+ secp256k1_declassify(ctx, &secnonce->data[68], 64);
+}
+
+static const unsigned char secp256k1_musig_pubnonce_magic[4] = { 0xf5, 0x7a, 0x3d, 0xa0 };
+
+/* Saves two group elements into a pubnonce. Requires that none of the provided
+ * group elements is infinity. */
+static void secp256k1_musig_pubnonce_save(secp256k1_musig_pubnonce* nonce, const secp256k1_ge* ges) {
+ int i;
+ memcpy(&nonce->data[0], secp256k1_musig_pubnonce_magic, 4);
+ for (i = 0; i < 2; i++) {
+ secp256k1_ge_to_bytes(nonce->data + 4+64*i, &ges[i]);
+ }
+}
+
+/* Loads two group elements from a pubnonce. Returns 1 unless the nonce wasn't
+ * properly initialized */
+static int secp256k1_musig_pubnonce_load(const secp256k1_context* ctx, secp256k1_ge* ges, const secp256k1_musig_pubnonce* nonce) {
+ int i;
+
+ ARG_CHECK(secp256k1_memcmp_var(&nonce->data[0], secp256k1_musig_pubnonce_magic, 4) == 0);
+ for (i = 0; i < 2; i++) {
+ secp256k1_ge_from_bytes(&ges[i], nonce->data + 4 + 64*i);
+ }
+ return 1;
+}
+
+static const unsigned char secp256k1_musig_aggnonce_magic[4] = { 0xa8, 0xb7, 0xe4, 0x67 };
+
+static void secp256k1_musig_aggnonce_save(secp256k1_musig_aggnonce* nonce, const secp256k1_ge* ges) {
+ int i;
+ memcpy(&nonce->data[0], secp256k1_musig_aggnonce_magic, 4);
+ for (i = 0; i < 2; i++) {
+ secp256k1_ge_to_bytes_ext(&nonce->data[4 + 64*i], &ges[i]);
+ }
+}
+
+static int secp256k1_musig_aggnonce_load(const secp256k1_context* ctx, secp256k1_ge* ges, const secp256k1_musig_aggnonce* nonce) {
+ int i;
+
+ ARG_CHECK(secp256k1_memcmp_var(&nonce->data[0], secp256k1_musig_aggnonce_magic, 4) == 0);
+ for (i = 0; i < 2; i++) {
+ secp256k1_ge_from_bytes_ext(&ges[i], &nonce->data[4 + 64*i]);
+ }
+ return 1;
+}
+
+static const unsigned char secp256k1_musig_session_cache_magic[4] = { 0x9d, 0xed, 0xe9, 0x17 };
+
+/* A session consists of
+ * - 4 byte session cache magic
+ * - 1 byte the parity of the final nonce
+ * - 32 byte serialized x-only final nonce
+ * - 32 byte nonce coefficient b
+ * - 32 byte signature challenge hash e
+ * - 32 byte scalar s that is added to the partial signatures of the signers
+ */
+static void secp256k1_musig_session_save(secp256k1_musig_session *session, const secp256k1_musig_session_internal *session_i) {
+ unsigned char *ptr = session->data;
+
+ memcpy(ptr, secp256k1_musig_session_cache_magic, 4);
+ ptr += 4;
+ *ptr = session_i->fin_nonce_parity;
+ ptr += 1;
+ memcpy(ptr, session_i->fin_nonce, 32);
+ ptr += 32;
+ secp256k1_scalar_get_b32(ptr, &session_i->noncecoef);
+ ptr += 32;
+ secp256k1_scalar_get_b32(ptr, &session_i->challenge);
+ ptr += 32;
+ secp256k1_scalar_get_b32(ptr, &session_i->s_part);
+}
+
+static int secp256k1_musig_session_load(const secp256k1_context* ctx, secp256k1_musig_session_internal *session_i, const secp256k1_musig_session *session) {
+ const unsigned char *ptr = session->data;
+
+ ARG_CHECK(secp256k1_memcmp_var(ptr, secp256k1_musig_session_cache_magic, 4) == 0);
+ ptr += 4;
+ session_i->fin_nonce_parity = *ptr;
+ ptr += 1;
+ memcpy(session_i->fin_nonce, ptr, 32);
+ ptr += 32;
+ secp256k1_scalar_set_b32(&session_i->noncecoef, ptr, NULL);
+ ptr += 32;
+ secp256k1_scalar_set_b32(&session_i->challenge, ptr, NULL);
+ ptr += 32;
+ secp256k1_scalar_set_b32(&session_i->s_part, ptr, NULL);
+ return 1;
+}
+
+static const unsigned char secp256k1_musig_partial_sig_magic[4] = { 0xeb, 0xfb, 0x1a, 0x32 };
+
+static void secp256k1_musig_partial_sig_save(secp256k1_musig_partial_sig* sig, secp256k1_scalar *s) {
+ memcpy(&sig->data[0], secp256k1_musig_partial_sig_magic, 4);
+ secp256k1_scalar_get_b32(&sig->data[4], s);
+}
+
+static int secp256k1_musig_partial_sig_load(const secp256k1_context* ctx, secp256k1_scalar *s, const secp256k1_musig_partial_sig* sig) {
+ int overflow;
+
+ ARG_CHECK(secp256k1_memcmp_var(&sig->data[0], secp256k1_musig_partial_sig_magic, 4) == 0);
+ secp256k1_scalar_set_b32(s, &sig->data[4], &overflow);
+ /* Parsed signatures can not overflow */
+ VERIFY_CHECK(!overflow);
+ return 1;
+}
+
+int secp256k1_musig_pubnonce_parse(const secp256k1_context* ctx, secp256k1_musig_pubnonce* nonce, const unsigned char *in66) {
+ secp256k1_ge ges[2];
+ int i;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(nonce != NULL);
+ ARG_CHECK(in66 != NULL);
+
+ for (i = 0; i < 2; i++) {
+ if (!secp256k1_eckey_pubkey_parse(&ges[i], &in66[33*i], 33)) {
+ return 0;
+ }
+ if (!secp256k1_ge_is_in_correct_subgroup(&ges[i])) {
+ return 0;
+ }
+ }
+ secp256k1_musig_pubnonce_save(nonce, ges);
+ return 1;
+}
+
+int secp256k1_musig_pubnonce_serialize(const secp256k1_context* ctx, unsigned char *out66, const secp256k1_musig_pubnonce* nonce) {
+ secp256k1_ge ges[2];
+ int i;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(out66 != NULL);
+ memset(out66, 0, 66);
+ ARG_CHECK(nonce != NULL);
+
+ if (!secp256k1_musig_pubnonce_load(ctx, ges, nonce)) {
+ return 0;
+ }
+ for (i = 0; i < 2; i++) {
+ int ret;
+ size_t size = 33;
+ ret = secp256k1_eckey_pubkey_serialize(&ges[i], &out66[33*i], &size, 1);
+#ifdef VERIFY
+ /* serialize must succeed because the point was just loaded */
+ VERIFY_CHECK(ret && size == 33);
+#else
+ (void) ret;
+#endif
+ }
+ return 1;
+}
+
+int secp256k1_musig_aggnonce_parse(const secp256k1_context* ctx, secp256k1_musig_aggnonce* nonce, const unsigned char *in66) {
+ secp256k1_ge ges[2];
+ int i;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(nonce != NULL);
+ ARG_CHECK(in66 != NULL);
+
+ for (i = 0; i < 2; i++) {
+ if (!secp256k1_musig_ge_parse_ext(&ges[i], &in66[33*i])) {
+ return 0;
+ }
+ }
+ secp256k1_musig_aggnonce_save(nonce, ges);
+ return 1;
+}
+
+int secp256k1_musig_aggnonce_serialize(const secp256k1_context* ctx, unsigned char *out66, const secp256k1_musig_aggnonce* nonce) {
+ secp256k1_ge ges[2];
+ int i;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(out66 != NULL);
+ memset(out66, 0, 66);
+ ARG_CHECK(nonce != NULL);
+
+ if (!secp256k1_musig_aggnonce_load(ctx, ges, nonce)) {
+ return 0;
+ }
+ for (i = 0; i < 2; i++) {
+ secp256k1_musig_ge_serialize_ext(&out66[33*i], &ges[i]);
+ }
+ return 1;
+}
+
+int secp256k1_musig_partial_sig_parse(const secp256k1_context* ctx, secp256k1_musig_partial_sig* sig, const unsigned char *in32) {
+ secp256k1_scalar tmp;
+ int overflow;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(sig != NULL);
+ ARG_CHECK(in32 != NULL);
+
+ /* Ensure that using the signature will fail if parsing fails (and the user
+ * doesn't check the return value). */
+ memset(sig, 0, sizeof(*sig));
+
+ secp256k1_scalar_set_b32(&tmp, in32, &overflow);
+ if (overflow) {
+ return 0;
+ }
+ secp256k1_musig_partial_sig_save(sig, &tmp);
+ return 1;
+}
+
+int secp256k1_musig_partial_sig_serialize(const secp256k1_context* ctx, unsigned char *out32, const secp256k1_musig_partial_sig* sig) {
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(out32 != NULL);
+ ARG_CHECK(sig != NULL);
+ ARG_CHECK(secp256k1_memcmp_var(&sig->data[0], secp256k1_musig_partial_sig_magic, 4) == 0);
+
+ memcpy(out32, &sig->data[4], 32);
+ return 1;
+}
+
+/* Write optional inputs into the hash */
+static void secp256k1_nonce_function_musig_helper(secp256k1_sha256 *sha, unsigned int prefix_size, const unsigned char *data, unsigned char len) {
+ unsigned char zero[7] = { 0 };
+ /* The spec requires length prefixes to be between 1 and 8 bytes
+ * (inclusive) */
+ VERIFY_CHECK(prefix_size >= 1 && prefix_size <= 8);
+ /* Since the length of all input data fits in a byte, we can always pad the
+ * length prefix with prefix_size - 1 zero bytes. */
+ secp256k1_sha256_write(sha, zero, prefix_size - 1);
+ if (data != NULL) {
+ secp256k1_sha256_write(sha, &len, 1);
+ secp256k1_sha256_write(sha, data, len);
+ } else {
+ len = 0;
+ secp256k1_sha256_write(sha, &len, 1);
+ }
+}
+
+/* Initializes SHA256 with fixed midstate. This midstate was computed by applying
+ * SHA256 to SHA256("MuSig/aux")||SHA256("MuSig/aux"). */
+static void secp256k1_nonce_function_musig_sha256_tagged_aux(secp256k1_sha256 *sha) {
+ secp256k1_sha256_initialize(sha);
+ sha->s[0] = 0xa19e884bul;
+ sha->s[1] = 0xf463fe7eul;
+ sha->s[2] = 0x2f18f9a2ul;
+ sha->s[3] = 0xbeb0f9fful;
+ sha->s[4] = 0x0f37e8b0ul;
+ sha->s[5] = 0x06ebd26ful;
+ sha->s[6] = 0xe3b243d2ul;
+ sha->s[7] = 0x522fb150ul;
+ sha->bytes = 64;
+}
+
+/* Initializes SHA256 with fixed midstate. This midstate was computed by applying
+ * SHA256 to SHA256("MuSig/nonce")||SHA256("MuSig/nonce"). */
+static void secp256k1_nonce_function_musig_sha256_tagged(secp256k1_sha256 *sha) {
+ secp256k1_sha256_initialize(sha);
+ sha->s[0] = 0x07101b64ul;
+ sha->s[1] = 0x18003414ul;
+ sha->s[2] = 0x0391bc43ul;
+ sha->s[3] = 0x0e6258eeul;
+ sha->s[4] = 0x29d26b72ul;
+ sha->s[5] = 0x8343937eul;
+ sha->s[6] = 0xb7a0a4fbul;
+ sha->s[7] = 0xff568a30ul;
+ sha->bytes = 64;
+}
+
+static void secp256k1_nonce_function_musig(secp256k1_scalar *k, const unsigned char *session_secrand, const unsigned char *msg32, const unsigned char *seckey32, const unsigned char *pk33, const unsigned char *agg_pk32, const unsigned char *extra_input32) {
+ secp256k1_sha256 sha;
+ unsigned char rand[32];
+ unsigned char i;
+ unsigned char msg_present;
+
+ if (seckey32 != NULL) {
+ secp256k1_nonce_function_musig_sha256_tagged_aux(&sha);
+ secp256k1_sha256_write(&sha, session_secrand, 32);
+ secp256k1_sha256_finalize(&sha, rand);
+ for (i = 0; i < 32; i++) {
+ rand[i] ^= seckey32[i];
+ }
+ } else {
+ memcpy(rand, session_secrand, sizeof(rand));
+ }
+
+ secp256k1_nonce_function_musig_sha256_tagged(&sha);
+ secp256k1_sha256_write(&sha, rand, sizeof(rand));
+ secp256k1_nonce_function_musig_helper(&sha, 1, pk33, 33);
+ secp256k1_nonce_function_musig_helper(&sha, 1, agg_pk32, 32);
+ msg_present = msg32 != NULL;
+ secp256k1_sha256_write(&sha, &msg_present, 1);
+ if (msg_present) {
+ secp256k1_nonce_function_musig_helper(&sha, 8, msg32, 32);
+ }
+ secp256k1_nonce_function_musig_helper(&sha, 4, extra_input32, 32);
+
+ for (i = 0; i < 2; i++) {
+ unsigned char buf[32];
+ secp256k1_sha256 sha_tmp = sha;
+ secp256k1_sha256_write(&sha_tmp, &i, 1);
+ secp256k1_sha256_finalize(&sha_tmp, buf);
+ secp256k1_scalar_set_b32(&k[i], buf, NULL);
+
+ /* Attempt to erase secret data */
+ secp256k1_memclear(buf, sizeof(buf));
+ secp256k1_sha256_clear(&sha_tmp);
+ }
+ secp256k1_memclear(rand, sizeof(rand));
+ secp256k1_sha256_clear(&sha);
+}
+
+static int secp256k1_musig_nonce_gen_internal(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, const unsigned char *input_nonce, const unsigned char *seckey, const secp256k1_pubkey *pubkey, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) {
+ secp256k1_scalar k[2];
+ secp256k1_ge nonce_pts[2];
+ int i;
+ unsigned char pk_ser[33];
+ size_t pk_ser_len = sizeof(pk_ser);
+ unsigned char aggpk_ser[32];
+ unsigned char *aggpk_ser_ptr = NULL;
+ secp256k1_ge pk;
+ int pk_serialize_success;
+ int ret = 1;
+
+ ARG_CHECK(pubnonce != NULL);
+ memset(pubnonce, 0, sizeof(*pubnonce));
+ ARG_CHECK(pubkey != NULL);
+ ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+
+ /* Check that the seckey is valid to be able to sign for it later. */
+ if (seckey != NULL) {
+ secp256k1_scalar sk;
+ ret &= secp256k1_scalar_set_b32_seckey(&sk, seckey);
+ secp256k1_scalar_clear(&sk);
+ }
+
+ if (keyagg_cache != NULL) {
+ secp256k1_keyagg_cache_internal cache_i;
+ if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
+ return 0;
+ }
+ /* The loaded point cache_i.pk can not be the point at infinity. */
+ secp256k1_fe_get_b32(aggpk_ser, &cache_i.pk.x);
+ aggpk_ser_ptr = aggpk_ser;
+ }
+ if (!secp256k1_pubkey_load(ctx, &pk, pubkey)) {
+ return 0;
+ }
+ pk_serialize_success = secp256k1_eckey_pubkey_serialize(&pk, pk_ser, &pk_ser_len, 1);
+
+#ifdef VERIFY
+ /* A pubkey cannot be the point at infinity */
+ VERIFY_CHECK(pk_serialize_success);
+ VERIFY_CHECK(pk_ser_len == sizeof(pk_ser));
+#else
+ (void) pk_serialize_success;
+#endif
+
+ secp256k1_nonce_function_musig(k, input_nonce, msg32, seckey, pk_ser, aggpk_ser_ptr, extra_input32);
+ VERIFY_CHECK(!secp256k1_scalar_is_zero(&k[0]));
+ VERIFY_CHECK(!secp256k1_scalar_is_zero(&k[1]));
+ secp256k1_musig_secnonce_save(secnonce, k, &pk);
+ secp256k1_musig_secnonce_invalidate(ctx, secnonce, !ret);
+
+ for (i = 0; i < 2; i++) {
+ secp256k1_gej nonce_ptj;
+ secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &nonce_ptj, &k[i]);
+ secp256k1_ge_set_gej(&nonce_pts[i], &nonce_ptj);
+ secp256k1_declassify(ctx, &nonce_pts[i], sizeof(nonce_pts[i]));
+ secp256k1_scalar_clear(&k[i]);
+ secp256k1_gej_clear(&nonce_ptj);
+ }
+ /* None of the nonce_pts will be infinity because k != 0 with overwhelming
+ * probability */
+ secp256k1_musig_pubnonce_save(pubnonce, nonce_pts);
+ return ret;
+}
+
+int secp256k1_musig_nonce_gen(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, unsigned char *session_secrand32, const unsigned char *seckey, const secp256k1_pubkey *pubkey, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) {
+ int ret = 1;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(secnonce != NULL);
+ memset(secnonce, 0, sizeof(*secnonce));
+ ARG_CHECK(session_secrand32 != NULL);
+
+ /* Check in constant time that the session_secrand32 is not 0 as a
+ * defense-in-depth measure that may protect against a faulty RNG. */
+ ret &= !secp256k1_is_zero_array(session_secrand32, 32);
+
+ /* We can declassify because branching on ret is only relevant when this
+ * function called with an invalid session_secrand32 argument */
+ secp256k1_declassify(ctx, &ret, sizeof(ret));
+ if (ret == 0) {
+ secp256k1_musig_secnonce_invalidate(ctx, secnonce, 1);
+ return 0;
+ }
+
+ ret &= secp256k1_musig_nonce_gen_internal(ctx, secnonce, pubnonce, session_secrand32, seckey, pubkey, msg32, keyagg_cache, extra_input32);
+
+ /* Set the session_secrand32 buffer to zero to prevent the caller from using
+ * nonce_gen multiple times with the same buffer. */
+ secp256k1_memczero(session_secrand32, 32, ret);
+ return ret;
+}
+
+int secp256k1_musig_nonce_gen_counter(const secp256k1_context* ctx, secp256k1_musig_secnonce *secnonce, secp256k1_musig_pubnonce *pubnonce, uint64_t nonrepeating_cnt, const secp256k1_keypair *keypair, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *extra_input32) {
+ unsigned char buf[32] = { 0 };
+ unsigned char seckey[32];
+ secp256k1_pubkey pubkey;
+ int ret;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(secnonce != NULL);
+ memset(secnonce, 0, sizeof(*secnonce));
+ ARG_CHECK(keypair != NULL);
+
+ secp256k1_write_be64(buf, nonrepeating_cnt);
+ /* keypair_sec and keypair_pub do not fail if the arguments are not NULL */
+ ret = secp256k1_keypair_sec(ctx, seckey, keypair);
+ VERIFY_CHECK(ret);
+ ret = secp256k1_keypair_pub(ctx, &pubkey, keypair);
+ VERIFY_CHECK(ret);
+#ifndef VERIFY
+ (void) ret;
+#endif
+
+ if (!secp256k1_musig_nonce_gen_internal(ctx, secnonce, pubnonce, buf, seckey, &pubkey, msg32, keyagg_cache, extra_input32)) {
+ return 0;
+ }
+ secp256k1_memclear(seckey, sizeof(seckey));
+ return 1;
+}
+
+static int secp256k1_musig_sum_pubnonces(const secp256k1_context* ctx, secp256k1_gej *summed_pubnonces, const secp256k1_musig_pubnonce * const* pubnonces, size_t n_pubnonces) {
+ size_t i;
+ int j;
+
+ secp256k1_gej_set_infinity(&summed_pubnonces[0]);
+ secp256k1_gej_set_infinity(&summed_pubnonces[1]);
+
+ for (i = 0; i < n_pubnonces; i++) {
+ secp256k1_ge nonce_pts[2];
+ if (!secp256k1_musig_pubnonce_load(ctx, nonce_pts, pubnonces[i])) {
+ return 0;
+ }
+ for (j = 0; j < 2; j++) {
+ secp256k1_gej_add_ge_var(&summed_pubnonces[j], &summed_pubnonces[j], &nonce_pts[j], NULL);
+ }
+ }
+ return 1;
+}
+
+int secp256k1_musig_nonce_agg(const secp256k1_context* ctx, secp256k1_musig_aggnonce *aggnonce, const secp256k1_musig_pubnonce * const* pubnonces, size_t n_pubnonces) {
+ secp256k1_gej aggnonce_ptsj[2];
+ secp256k1_ge aggnonce_pts[2];
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(aggnonce != NULL);
+ ARG_CHECK(pubnonces != NULL);
+ ARG_CHECK(n_pubnonces > 0);
+
+ if (!secp256k1_musig_sum_pubnonces(ctx, aggnonce_ptsj, pubnonces, n_pubnonces)) {
+ return 0;
+ }
+ secp256k1_ge_set_all_gej_var(aggnonce_pts, aggnonce_ptsj, 2);
+ secp256k1_musig_aggnonce_save(aggnonce, aggnonce_pts);
+ return 1;
+}
+
+/* Initializes SHA256 with fixed midstate. This midstate was computed by applying
+ * SHA256 to SHA256("MuSig/noncecoef")||SHA256("MuSig/noncecoef"). */
+static void secp256k1_musig_compute_noncehash_sha256_tagged(secp256k1_sha256 *sha) {
+ secp256k1_sha256_initialize(sha);
+ sha->s[0] = 0x2c7d5a45ul;
+ sha->s[1] = 0x06bf7e53ul;
+ sha->s[2] = 0x89be68a6ul;
+ sha->s[3] = 0x971254c0ul;
+ sha->s[4] = 0x60ac12d2ul;
+ sha->s[5] = 0x72846dcdul;
+ sha->s[6] = 0x6c81212ful;
+ sha->s[7] = 0xde7a2500ul;
+ sha->bytes = 64;
+}
+
+/* tagged_hash(aggnonce[0], aggnonce[1], agg_pk, msg) */
+static void secp256k1_musig_compute_noncehash(unsigned char *noncehash, secp256k1_ge *aggnonce, const unsigned char *agg_pk32, const unsigned char *msg) {
+ unsigned char buf[33];
+ secp256k1_sha256 sha;
+ int i;
+
+ secp256k1_musig_compute_noncehash_sha256_tagged(&sha);
+ for (i = 0; i < 2; i++) {
+ secp256k1_musig_ge_serialize_ext(buf, &aggnonce[i]);
+ secp256k1_sha256_write(&sha, buf, sizeof(buf));
+ }
+ secp256k1_sha256_write(&sha, agg_pk32, 32);
+ secp256k1_sha256_write(&sha, msg, 32);
+ secp256k1_sha256_finalize(&sha, noncehash);
+}
+
+/* out_nonce = nonce_pts[0] + b*nonce_pts[1] */
+static void secp256k1_effective_nonce(secp256k1_gej *out_nonce, const secp256k1_ge *nonce_pts, const secp256k1_scalar *b) {
+ secp256k1_gej tmp;
+
+ secp256k1_gej_set_ge(&tmp, &nonce_pts[1]);
+ secp256k1_ecmult(out_nonce, &tmp, b, NULL);
+ secp256k1_gej_add_ge_var(out_nonce, out_nonce, &nonce_pts[0], NULL);
+}
+
+static void secp256k1_musig_nonce_process_internal(int *fin_nonce_parity, unsigned char *fin_nonce, secp256k1_scalar *b, secp256k1_ge *aggnonce_pts, const unsigned char *agg_pk32, const unsigned char *msg) {
+ unsigned char noncehash[32];
+ secp256k1_ge fin_nonce_pt;
+ secp256k1_gej fin_nonce_ptj;
+
+ secp256k1_musig_compute_noncehash(noncehash, aggnonce_pts, agg_pk32, msg);
+ secp256k1_scalar_set_b32(b, noncehash, NULL);
+ /* fin_nonce = aggnonce_pts[0] + b*aggnonce_pts[1] */
+ secp256k1_effective_nonce(&fin_nonce_ptj, aggnonce_pts, b);
+ secp256k1_ge_set_gej(&fin_nonce_pt, &fin_nonce_ptj);
+ if (secp256k1_ge_is_infinity(&fin_nonce_pt)) {
+ fin_nonce_pt = secp256k1_ge_const_g;
+ }
+ /* fin_nonce_pt is not the point at infinity */
+ secp256k1_fe_normalize_var(&fin_nonce_pt.x);
+ secp256k1_fe_get_b32(fin_nonce, &fin_nonce_pt.x);
+ secp256k1_fe_normalize_var(&fin_nonce_pt.y);
+ *fin_nonce_parity = secp256k1_fe_is_odd(&fin_nonce_pt.y);
+}
+
+int secp256k1_musig_nonce_process(const secp256k1_context* ctx, secp256k1_musig_session *session, const secp256k1_musig_aggnonce *aggnonce, const unsigned char *msg32, const secp256k1_musig_keyagg_cache *keyagg_cache) {
+ secp256k1_keyagg_cache_internal cache_i;
+ secp256k1_ge aggnonce_pts[2];
+ unsigned char fin_nonce[32];
+ secp256k1_musig_session_internal session_i;
+ unsigned char agg_pk32[32];
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(session != NULL);
+ ARG_CHECK(aggnonce != NULL);
+ ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(keyagg_cache != NULL);
+
+ if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
+ return 0;
+ }
+ secp256k1_fe_get_b32(agg_pk32, &cache_i.pk.x);
+
+ if (!secp256k1_musig_aggnonce_load(ctx, aggnonce_pts, aggnonce)) {
+ return 0;
+ }
+
+ secp256k1_musig_nonce_process_internal(&session_i.fin_nonce_parity, fin_nonce, &session_i.noncecoef, aggnonce_pts, agg_pk32, msg32);
+ secp256k1_schnorrsig_challenge(&session_i.challenge, fin_nonce, msg32, 32, agg_pk32);
+
+ /* If there is a tweak then set `challenge` times `tweak` to the `s`-part.*/
+ secp256k1_scalar_set_int(&session_i.s_part, 0);
+ if (!secp256k1_scalar_is_zero(&cache_i.tweak)) {
+ secp256k1_scalar e_tmp;
+ secp256k1_scalar_mul(&e_tmp, &session_i.challenge, &cache_i.tweak);
+ if (secp256k1_fe_is_odd(&cache_i.pk.y)) {
+ secp256k1_scalar_negate(&e_tmp, &e_tmp);
+ }
+ session_i.s_part = e_tmp;
+ }
+ memcpy(session_i.fin_nonce, fin_nonce, sizeof(session_i.fin_nonce));
+ secp256k1_musig_session_save(session, &session_i);
+ return 1;
+}
+
+static void secp256k1_musig_partial_sign_clear(secp256k1_scalar *sk, secp256k1_scalar *k) {
+ secp256k1_scalar_clear(sk);
+ secp256k1_scalar_clear(&k[0]);
+ secp256k1_scalar_clear(&k[1]);
+}
+
+int secp256k1_musig_partial_sign(const secp256k1_context* ctx, secp256k1_musig_partial_sig *partial_sig, secp256k1_musig_secnonce *secnonce, const secp256k1_keypair *keypair, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) {
+ secp256k1_scalar sk;
+ secp256k1_ge pk, keypair_pk;
+ secp256k1_scalar k[2];
+ secp256k1_scalar mu, s;
+ secp256k1_keyagg_cache_internal cache_i;
+ secp256k1_musig_session_internal session_i;
+ int ret;
+
+ VERIFY_CHECK(ctx != NULL);
+
+ ARG_CHECK(secnonce != NULL);
+ /* Fails if the magic doesn't match */
+ ret = secp256k1_musig_secnonce_load(ctx, k, &pk, secnonce);
+ /* Set nonce to zero to avoid nonce reuse. This will cause subsequent calls
+ * of this function to fail */
+ memset(secnonce, 0, sizeof(*secnonce));
+ if (!ret) {
+ secp256k1_musig_partial_sign_clear(&sk, k);
+ return 0;
+ }
+
+ ARG_CHECK(partial_sig != NULL);
+ ARG_CHECK(keypair != NULL);
+ ARG_CHECK(keyagg_cache != NULL);
+ ARG_CHECK(session != NULL);
+
+ if (!secp256k1_keypair_load(ctx, &sk, &keypair_pk, keypair)) {
+ secp256k1_musig_partial_sign_clear(&sk, k);
+ return 0;
+ }
+ ARG_CHECK(secp256k1_fe_equal(&pk.x, &keypair_pk.x)
+ && secp256k1_fe_equal(&pk.y, &keypair_pk.y));
+ if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
+ secp256k1_musig_partial_sign_clear(&sk, k);
+ return 0;
+ }
+
+ /* Negate sk if secp256k1_fe_is_odd(&cache_i.pk.y)) XOR cache_i.parity_acc.
+ * This corresponds to the line "Let d = g⋅gacc⋅d' mod n" in the
+ * specification. */
+ if ((secp256k1_fe_is_odd(&cache_i.pk.y)
+ != cache_i.parity_acc)) {
+ secp256k1_scalar_negate(&sk, &sk);
+ }
+
+ /* Multiply KeyAgg coefficient */
+ secp256k1_musig_keyaggcoef(&mu, &cache_i, &pk);
+ secp256k1_scalar_mul(&sk, &sk, &mu);
+
+ if (!secp256k1_musig_session_load(ctx, &session_i, session)) {
+ secp256k1_musig_partial_sign_clear(&sk, k);
+ return 0;
+ }
+
+ if (session_i.fin_nonce_parity) {
+ secp256k1_scalar_negate(&k[0], &k[0]);
+ secp256k1_scalar_negate(&k[1], &k[1]);
+ }
+
+ /* Sign */
+ secp256k1_scalar_mul(&s, &session_i.challenge, &sk);
+ secp256k1_scalar_mul(&k[1], &session_i.noncecoef, &k[1]);
+ secp256k1_scalar_add(&k[0], &k[0], &k[1]);
+ secp256k1_scalar_add(&s, &s, &k[0]);
+ secp256k1_musig_partial_sig_save(partial_sig, &s);
+ secp256k1_musig_partial_sign_clear(&sk, k);
+ return 1;
+}
+
+int secp256k1_musig_partial_sig_verify(const secp256k1_context* ctx, const secp256k1_musig_partial_sig *partial_sig, const secp256k1_musig_pubnonce *pubnonce, const secp256k1_pubkey *pubkey, const secp256k1_musig_keyagg_cache *keyagg_cache, const secp256k1_musig_session *session) {
+ secp256k1_keyagg_cache_internal cache_i;
+ secp256k1_musig_session_internal session_i;
+ secp256k1_scalar mu, e, s;
+ secp256k1_gej pkj;
+ secp256k1_ge nonce_pts[2];
+ secp256k1_gej rj;
+ secp256k1_gej tmp;
+ secp256k1_ge pkp;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(partial_sig != NULL);
+ ARG_CHECK(pubnonce != NULL);
+ ARG_CHECK(pubkey != NULL);
+ ARG_CHECK(keyagg_cache != NULL);
+ ARG_CHECK(session != NULL);
+
+ if (!secp256k1_musig_session_load(ctx, &session_i, session)) {
+ return 0;
+ }
+
+ if (!secp256k1_musig_pubnonce_load(ctx, nonce_pts, pubnonce)) {
+ return 0;
+ }
+ /* Compute "effective" nonce rj = nonce_pts[0] + b*nonce_pts[1] */
+ /* TODO: use multiexp to compute -s*G + e*mu*pubkey + nonce_pts[0] + b*nonce_pts[1] */
+ secp256k1_effective_nonce(&rj, nonce_pts, &session_i.noncecoef);
+
+ if (!secp256k1_pubkey_load(ctx, &pkp, pubkey)) {
+ return 0;
+ }
+ if (!secp256k1_keyagg_cache_load(ctx, &cache_i, keyagg_cache)) {
+ return 0;
+ }
+ /* Multiplying the challenge by the KeyAgg coefficient is equivalent
+ * to multiplying the signer's public key by the coefficient, except
+ * much easier to do. */
+ secp256k1_musig_keyaggcoef(&mu, &cache_i, &pkp);
+ secp256k1_scalar_mul(&e, &session_i.challenge, &mu);
+
+ /* Negate e if secp256k1_fe_is_odd(&cache_i.pk.y)) XOR cache_i.parity_acc.
+ * This corresponds to the line "Let g' = g⋅gacc mod n" and the multiplication "g'⋅e"
+ * in the specification. */
+ if (secp256k1_fe_is_odd(&cache_i.pk.y)
+ != cache_i.parity_acc) {
+ secp256k1_scalar_negate(&e, &e);
+ }
+
+ if (!secp256k1_musig_partial_sig_load(ctx, &s, partial_sig)) {
+ return 0;
+ }
+ /* Compute -s*G + e*pkj + rj (e already includes the keyagg coefficient mu) */
+ secp256k1_scalar_negate(&s, &s);
+ secp256k1_gej_set_ge(&pkj, &pkp);
+ secp256k1_ecmult(&tmp, &pkj, &e, &s);
+ if (session_i.fin_nonce_parity) {
+ secp256k1_gej_neg(&rj, &rj);
+ }
+ secp256k1_gej_add_var(&tmp, &tmp, &rj, NULL);
+
+ return secp256k1_gej_is_infinity(&tmp);
+}
+
+int secp256k1_musig_partial_sig_agg(const secp256k1_context* ctx, unsigned char *sig64, const secp256k1_musig_session *session, const secp256k1_musig_partial_sig * const* partial_sigs, size_t n_sigs) {
+ size_t i;
+ secp256k1_musig_session_internal session_i;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(sig64 != NULL);
+ ARG_CHECK(session != NULL);
+ ARG_CHECK(partial_sigs != NULL);
+ ARG_CHECK(n_sigs > 0);
+
+ if (!secp256k1_musig_session_load(ctx, &session_i, session)) {
+ return 0;
+ }
+ for (i = 0; i < n_sigs; i++) {
+ secp256k1_scalar term;
+ if (!secp256k1_musig_partial_sig_load(ctx, &term, partial_sigs[i])) {
+ return 0;
+ }
+ secp256k1_scalar_add(&session_i.s_part, &session_i.s_part, &term);
+ }
+ secp256k1_scalar_get_b32(&sig64[32], &session_i.s_part);
+ memcpy(&sig64[0], session_i.fin_nonce, 32);
+ return 1;
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/tests_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/tests_impl.h
new file mode 100644
index 00000000..ce6ae178
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/tests_impl.h
@@ -0,0 +1,1143 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_MUSIG_TESTS_IMPL_H
+#define SECP256K1_MODULE_MUSIG_TESTS_IMPL_H
+
+#include
+#include
+
+#include "../../../include/secp256k1.h"
+#include "../../../include/secp256k1_extrakeys.h"
+#include "../../../include/secp256k1_musig.h"
+
+#include "session.h"
+#include "keyagg.h"
+#include "../../scalar.h"
+#include "../../field.h"
+#include "../../group.h"
+#include "../../hash.h"
+#include "../../util.h"
+
+#include "vectors.h"
+
+static int create_keypair_and_pk(secp256k1_keypair *keypair, secp256k1_pubkey *pk, const unsigned char *sk) {
+ int ret;
+ secp256k1_keypair keypair_tmp;
+ ret = secp256k1_keypair_create(CTX, &keypair_tmp, sk);
+ ret &= secp256k1_keypair_pub(CTX, pk, &keypair_tmp);
+ if (keypair != NULL) {
+ *keypair = keypair_tmp;
+ }
+ return ret;
+}
+
+/* Just a simple (non-tweaked) 2-of-2 MuSig aggregate, sign, verify
+ * test. */
+static void musig_simple_test(void) {
+ unsigned char sk[2][32];
+ secp256k1_keypair keypair[2];
+ secp256k1_musig_pubnonce pubnonce[2];
+ const secp256k1_musig_pubnonce *pubnonce_ptr[2];
+ secp256k1_musig_aggnonce aggnonce;
+ unsigned char msg[32];
+ secp256k1_xonly_pubkey agg_pk;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ unsigned char session_secrand[2][32];
+ secp256k1_musig_secnonce secnonce[2];
+ secp256k1_pubkey pk[2];
+ const secp256k1_pubkey *pk_ptr[2];
+ secp256k1_musig_partial_sig partial_sig[2];
+ const secp256k1_musig_partial_sig *partial_sig_ptr[2];
+ unsigned char final_sig[64];
+ secp256k1_musig_session session;
+ int i;
+
+ testrand256(msg);
+ for (i = 0; i < 2; i++) {
+ testrand256(sk[i]);
+ pk_ptr[i] = &pk[i];
+ pubnonce_ptr[i] = &pubnonce[i];
+ partial_sig_ptr[i] = &partial_sig[i];
+
+ CHECK(create_keypair_and_pk(&keypair[i], &pk[i], sk[i]));
+ if (i == 0) {
+ testrand256(session_secrand[i]);
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[i], &pubnonce[i], session_secrand[i], sk[i], &pk[i], NULL, NULL, NULL) == 1);
+ } else {
+ uint64_t nonrepeating_cnt = 0;
+ CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[i], &pubnonce[i], nonrepeating_cnt, &keypair[i], NULL, NULL, NULL) == 1);
+ }
+ }
+
+ CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 2) == 1);
+ CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1);
+ CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &keyagg_cache) == 1);
+
+ for (i = 0; i < 2; i++) {
+ CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[i], &secnonce[i], &keypair[i], &keyagg_cache, &session) == 1);
+ CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[i], &pubnonce[i], &pk[i], &keyagg_cache, &session) == 1);
+ }
+
+ CHECK(secp256k1_musig_partial_sig_agg(CTX, final_sig, &session, partial_sig_ptr, 2) == 1);
+ CHECK(secp256k1_schnorrsig_verify(CTX, final_sig, msg, sizeof(msg), &agg_pk) == 1);
+}
+
+/* Generate two pubnonces such that both group elements of their sum (calculated
+ * with secp256k1_musig_sum_pubnonces) are infinity. */
+static void pubnonce_summing_to_inf(secp256k1_musig_pubnonce *pubnonce) {
+ secp256k1_ge ge[2];
+ int i;
+ secp256k1_gej summed_pubnonces[2];
+ const secp256k1_musig_pubnonce *pubnonce_ptr[2];
+
+ testutil_random_ge_test(&ge[0]);
+ testutil_random_ge_test(&ge[1]);
+
+ for (i = 0; i < 2; i++) {
+ secp256k1_musig_pubnonce_save(&pubnonce[i], ge);
+ pubnonce_ptr[i] = &pubnonce[i];
+ secp256k1_ge_neg(&ge[0], &ge[0]);
+ secp256k1_ge_neg(&ge[1], &ge[1]);
+ }
+
+ secp256k1_musig_sum_pubnonces(CTX, summed_pubnonces, pubnonce_ptr, 2);
+ CHECK(secp256k1_gej_is_infinity(&summed_pubnonces[0]));
+ CHECK(secp256k1_gej_is_infinity(&summed_pubnonces[1]));
+}
+
+int memcmp_and_randomize(unsigned char *value, const unsigned char *expected, size_t len) {
+ int ret;
+ size_t i;
+ ret = secp256k1_memcmp_var(value, expected, len);
+ for (i = 0; i < len; i++) {
+ value[i] = testrand_bits(8);
+ }
+ return ret;
+}
+
+static void musig_api_tests(void) {
+ secp256k1_musig_partial_sig partial_sig[2];
+ const secp256k1_musig_partial_sig *partial_sig_ptr[2];
+ secp256k1_musig_partial_sig invalid_partial_sig;
+ const secp256k1_musig_partial_sig *invalid_partial_sig_ptr[2];
+ unsigned char pre_sig[64];
+ unsigned char buf[32];
+ unsigned char sk[2][32];
+ secp256k1_keypair keypair[2];
+ secp256k1_keypair invalid_keypair;
+ unsigned char max64[64];
+ unsigned char zeros132[132] = { 0 };
+ unsigned char session_secrand[2][32];
+ unsigned char nonrepeating_cnt = 0;
+ secp256k1_musig_secnonce secnonce[2];
+ secp256k1_musig_secnonce secnonce_tmp;
+ secp256k1_musig_secnonce invalid_secnonce;
+ secp256k1_musig_pubnonce pubnonce[2];
+ const secp256k1_musig_pubnonce *pubnonce_ptr[2];
+ unsigned char pubnonce_ser[66];
+ secp256k1_musig_pubnonce inf_pubnonce[2];
+ const secp256k1_musig_pubnonce *inf_pubnonce_ptr[2];
+ secp256k1_musig_pubnonce invalid_pubnonce;
+ const secp256k1_musig_pubnonce *invalid_pubnonce_ptr[1];
+ secp256k1_musig_aggnonce aggnonce;
+ unsigned char aggnonce_ser[66];
+ unsigned char msg[32];
+ secp256k1_xonly_pubkey agg_pk;
+ secp256k1_pubkey full_agg_pk;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ secp256k1_musig_keyagg_cache invalid_keyagg_cache;
+ secp256k1_musig_session session;
+ secp256k1_musig_session invalid_session;
+ secp256k1_pubkey pk[2];
+ const secp256k1_pubkey *pk_ptr[2];
+ secp256k1_pubkey invalid_pk;
+ const secp256k1_pubkey *invalid_pk_ptr2[2];
+ const secp256k1_pubkey *invalid_pk_ptr3[3];
+ unsigned char tweak[32];
+ int i;
+
+ /** setup **/
+ memset(max64, 0xff, sizeof(max64));
+ memset(&invalid_keypair, 0, sizeof(invalid_keypair));
+ memset(&invalid_pk, 0, sizeof(invalid_pk));
+ memset(&invalid_secnonce, 0, sizeof(invalid_secnonce));
+ memset(&invalid_partial_sig, 0, sizeof(invalid_partial_sig));
+ pubnonce_summing_to_inf(inf_pubnonce);
+ /* Simulate structs being uninitialized by setting it to 0s. We don't want
+ * to produce undefined behavior by actually providing uninitialized
+ * structs. */
+ memset(&invalid_keyagg_cache, 0, sizeof(invalid_keyagg_cache));
+ memset(&invalid_pk, 0, sizeof(invalid_pk));
+ memset(&invalid_pubnonce, 0, sizeof(invalid_pubnonce));
+ memset(&invalid_session, 0, sizeof(invalid_session));
+
+ testrand256(msg);
+ testrand256(tweak);
+ for (i = 0; i < 2; i++) {
+ pk_ptr[i] = &pk[i];
+ invalid_pk_ptr2[i] = &invalid_pk;
+ invalid_pk_ptr3[i] = &pk[i];
+ pubnonce_ptr[i] = &pubnonce[i];
+ inf_pubnonce_ptr[i] = &inf_pubnonce[i];
+ partial_sig_ptr[i] = &partial_sig[i];
+ invalid_partial_sig_ptr[i] = &partial_sig[i];
+ testrand256(session_secrand[i]);
+ testrand256(sk[i]);
+ CHECK(create_keypair_and_pk(&keypair[i], &pk[i], sk[i]));
+ }
+ invalid_pubnonce_ptr[0] = &invalid_pubnonce;
+ invalid_partial_sig_ptr[0] = &invalid_partial_sig;
+ /* invalid_pk_ptr3 has two valid, one invalid pk, which is important to test
+ * musig_pubkey_agg */
+ invalid_pk_ptr3[2] = &invalid_pk;
+
+ /** main test body **/
+
+ /** Key aggregation **/
+ CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 2) == 1);
+ CHECK(secp256k1_musig_pubkey_agg(CTX, NULL, &keyagg_cache, pk_ptr, 2) == 1);
+ CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, NULL, pk_ptr, 2) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, NULL, 2));
+ CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, invalid_pk_ptr2, 2));
+ CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, invalid_pk_ptr3, 3));
+ CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 0));
+ CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, NULL, 0));
+ CHECK(memcmp_and_randomize(agg_pk.data, zeros132, sizeof(agg_pk.data)) == 0);
+
+ CHECK(secp256k1_musig_pubkey_agg(CTX, &agg_pk, &keyagg_cache, pk_ptr, 2) == 1);
+
+ /* pubkey_get */
+ CHECK(secp256k1_musig_pubkey_get(CTX, &full_agg_pk, &keyagg_cache) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_get(CTX, NULL, &keyagg_cache));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubkey_get(CTX, &full_agg_pk, NULL));
+ CHECK(secp256k1_memcmp_var(&full_agg_pk, zeros132, sizeof(full_agg_pk)) == 0);
+
+ /** Tweaking **/
+ {
+ int (*tweak_func[2]) (const secp256k1_context* ctx, secp256k1_pubkey *output_pubkey, secp256k1_musig_keyagg_cache *keyagg_cache, const unsigned char *tweak32);
+ tweak_func[0] = secp256k1_musig_pubkey_ec_tweak_add;
+ tweak_func[1] = secp256k1_musig_pubkey_xonly_tweak_add;
+ for (i = 0; i < 2; i++) {
+ secp256k1_pubkey tmp_output_pk;
+ secp256k1_musig_keyagg_cache tmp_keyagg_cache = keyagg_cache;
+ CHECK((*tweak_func[i])(CTX, &tmp_output_pk, &tmp_keyagg_cache, tweak) == 1);
+ /* Reset keyagg_cache */
+ tmp_keyagg_cache = keyagg_cache;
+ CHECK((*tweak_func[i])(CTX, NULL, &tmp_keyagg_cache, tweak) == 1);
+ tmp_keyagg_cache = keyagg_cache;
+ CHECK_ILLEGAL(CTX, (*tweak_func[i])(CTX, &tmp_output_pk, NULL, tweak));
+ CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0);
+ tmp_keyagg_cache = keyagg_cache;
+ CHECK_ILLEGAL(CTX, (*tweak_func[i])(CTX, &tmp_output_pk, &tmp_keyagg_cache, NULL));
+ CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0);
+ tmp_keyagg_cache = keyagg_cache;
+ CHECK((*tweak_func[i])(CTX, &tmp_output_pk, &tmp_keyagg_cache, max64) == 0);
+ CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0);
+ tmp_keyagg_cache = keyagg_cache;
+ /* Uninitialized keyagg_cache */
+ CHECK_ILLEGAL(CTX, (*tweak_func[i])(CTX, &tmp_output_pk, &invalid_keyagg_cache, tweak));
+ CHECK(memcmp_and_randomize(tmp_output_pk.data, zeros132, sizeof(tmp_output_pk.data)) == 0);
+ }
+ }
+
+ /** Session creation with nonce_gen **/
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64) == 1);
+ /* nonce_gen, if successful, sets session_secrand to the zero array, which
+ * makes subsequent nonce_gen calls with the same session_secrand fail. So
+ * check that session_secrand is indeed the zero array and fill it with
+ * random values again. */
+ CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0);
+
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_musig_nonce_gen(STATIC_CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, NULL, &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64));
+
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], NULL, session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], NULL, sk[0], &pk[0], msg, &keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+
+ /* session_secrand = 0 is disallowed because it indicates a faulty RNG */
+ memcpy(&session_secrand[0], zeros132, sizeof(session_secrand[0]));
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], zeros132, sk[0], &pk[0], msg, &keyagg_cache, max64) == 0);
+ CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0);
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], NULL, &pk[0], msg, &keyagg_cache, max64) == 1);
+ CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0);
+
+ /* invalid seckey */
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], max64, &pk[0], msg, &keyagg_cache, max64) == 0);
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], NULL, msg, &keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &invalid_pk, msg, &keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], NULL, &keyagg_cache, max64) == 1);
+ CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0);
+
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, NULL, max64) == 1);
+ CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0);
+
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &invalid_keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk[0], &pk[0], msg, &keyagg_cache, NULL) == 1);
+ CHECK(memcmp_and_randomize(session_secrand[0], zeros132, sizeof(session_secrand[0])) == 0);
+
+ /* Every in-argument except session_secrand and pubkey can be NULL */
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], NULL, &pk[0], NULL, NULL, NULL) == 1);
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[1], &pubnonce[1], session_secrand[1], sk[1], &pk[1], NULL, NULL, NULL) == 1);
+
+ /** Session creation with nonce_gen_counter **/
+ CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64) == 1);
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_musig_nonce_gen_counter(STATIC_CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, NULL, &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], NULL, nonrepeating_cnt, &keypair[0], msg, &keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+ /* using nonce_gen_counter requires keypair */
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, NULL, msg, &keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+ /* invalid keypair */
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &invalid_keypair, msg, &keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+ CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], NULL, &keyagg_cache, max64) == 1);
+ CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, NULL, max64) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], msg, &invalid_keyagg_cache, max64));
+ CHECK(memcmp_and_randomize(secnonce[0].data, zeros132, sizeof(secnonce[0].data)) == 0);
+ CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt,&keypair[0], msg, &keyagg_cache, NULL) == 1);
+
+ /* Every in-argument except nonrepeating_cnt and keypair can be NULL */
+ CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[0], &pubnonce[0], nonrepeating_cnt, &keypair[0], NULL, NULL, NULL) == 1);
+ CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce[1], &pubnonce[1], nonrepeating_cnt, &keypair[1], NULL, NULL, NULL) == 1);
+
+
+ /** Serialize and parse public nonces **/
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_serialize(CTX, NULL, &pubnonce[0]));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, NULL));
+ CHECK(memcmp_and_randomize(pubnonce_ser, zeros132, sizeof(pubnonce_ser)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, &invalid_pubnonce));
+ CHECK(memcmp_and_randomize(pubnonce_ser, zeros132, sizeof(pubnonce_ser)) == 0);
+ CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, &pubnonce[0]) == 1);
+
+ CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], pubnonce_ser) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_parse(CTX, NULL, pubnonce_ser));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], NULL));
+ CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], zeros132) == 0);
+ CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[0], pubnonce_ser) == 1);
+
+ {
+ /* Check that serialize and parse results in the same value */
+ secp256k1_musig_pubnonce tmp;
+ CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce_ser, &pubnonce[0]) == 1);
+ CHECK(secp256k1_musig_pubnonce_parse(CTX, &tmp, pubnonce_ser) == 1);
+ CHECK(secp256k1_memcmp_var(&tmp, &pubnonce[0], sizeof(tmp)) == 0);
+ }
+
+ /** Receive nonces and aggregate **/
+ CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, NULL, pubnonce_ptr, 2));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, NULL, 2));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 0));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_agg(CTX, &aggnonce, invalid_pubnonce_ptr, 1));
+ CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, inf_pubnonce_ptr, 2) == 1);
+ {
+ /* Check that the aggnonce encodes two points at infinity */
+ secp256k1_ge aggnonce_pt[2];
+ secp256k1_musig_aggnonce_load(CTX, aggnonce_pt, &aggnonce);
+ for (i = 0; i < 2; i++) {
+ secp256k1_ge_is_infinity(&aggnonce_pt[i]);
+ }
+ }
+ CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1);
+
+ /** Serialize and parse aggregate nonces **/
+ CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, &aggnonce) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_serialize(CTX, NULL, &aggnonce));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, NULL));
+ CHECK(memcmp_and_randomize(aggnonce_ser, zeros132, sizeof(aggnonce_ser)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, (secp256k1_musig_aggnonce*) &invalid_pubnonce));
+ CHECK(memcmp_and_randomize(aggnonce_ser, zeros132, sizeof(aggnonce_ser)) == 0);
+ CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, &aggnonce) == 1);
+
+ CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, aggnonce_ser) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_parse(CTX, NULL, aggnonce_ser));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_aggnonce_parse(CTX, &aggnonce, NULL));
+ CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, zeros132) == 1);
+ CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, aggnonce_ser) == 1);
+
+ {
+ /* Check that serialize and parse results in the same value */
+ secp256k1_musig_aggnonce tmp;
+ CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce_ser, &aggnonce) == 1);
+ CHECK(secp256k1_musig_aggnonce_parse(CTX, &tmp, aggnonce_ser) == 1);
+ CHECK(secp256k1_memcmp_var(&tmp, &aggnonce, sizeof(tmp)) == 0);
+ }
+
+ /** Process nonces **/
+ CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &keyagg_cache) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, NULL, &aggnonce, msg, &keyagg_cache));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, NULL, msg, &keyagg_cache));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, (secp256k1_musig_aggnonce*) &invalid_pubnonce, msg, &keyagg_cache));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, &aggnonce, NULL, &keyagg_cache));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &invalid_keyagg_cache));
+
+ CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, &keyagg_cache) == 1);
+
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+ CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, &session) == 1);
+ /* The secnonce is set to 0 and subsequent signing attempts fail */
+ CHECK(secp256k1_memcmp_var(&secnonce_tmp, zeros132, sizeof(secnonce_tmp)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, &session));
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, NULL, &secnonce_tmp, &keypair[0], &keyagg_cache, &session));
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], NULL, &keypair[0], &keyagg_cache, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &invalid_secnonce, &keypair[0], &keyagg_cache, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, NULL, &keyagg_cache, &session));
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &invalid_keypair, &keyagg_cache, &session));
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+ {
+ unsigned char sk_tmp[32];
+ secp256k1_keypair keypair_tmp;
+ testrand256(sk_tmp);
+ CHECK(secp256k1_keypair_create(CTX, &keypair_tmp, sk_tmp));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair_tmp, &keyagg_cache, &session));
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+ }
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], NULL, &session));
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &invalid_keyagg_cache, &session));
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, NULL));
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce_tmp, &keypair[0], &keyagg_cache, &invalid_session));
+ memcpy(&secnonce_tmp, &secnonce[0], sizeof(secnonce_tmp));
+
+ CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce[0], &keypair[0], &keyagg_cache, &session) == 1);
+ CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[1], &secnonce[1], &keypair[1], &keyagg_cache, &session) == 1);
+
+ CHECK(secp256k1_musig_partial_sig_serialize(CTX, buf, &partial_sig[0]) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_serialize(CTX, NULL, &partial_sig[0]));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_serialize(CTX, buf, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_serialize(CTX, buf, &invalid_partial_sig));
+ CHECK(secp256k1_musig_partial_sig_parse(CTX, &partial_sig[0], buf) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_parse(CTX, NULL, buf));
+ {
+ /* Check that parsing failure results in an invalid sig */
+ secp256k1_musig_partial_sig tmp;
+ CHECK(secp256k1_musig_partial_sig_parse(CTX, &tmp, max64) == 0);
+ CHECK(secp256k1_memcmp_var(&tmp, zeros132, sizeof(partial_sig[0])) == 0);
+ }
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_parse(CTX, &partial_sig[0], NULL));
+
+ {
+ /* Check that serialize and parse results in the same value */
+ secp256k1_musig_partial_sig tmp;
+ CHECK(secp256k1_musig_partial_sig_serialize(CTX, buf, &partial_sig[0]) == 1);
+ CHECK(secp256k1_musig_partial_sig_parse(CTX, &tmp, buf) == 1);
+ CHECK(secp256k1_memcmp_var(&tmp, &partial_sig[0], sizeof(tmp)) == 0);
+ }
+
+ /** Partial signature verification */
+ CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, &session) == 1);
+ CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[1], &pubnonce[0], &pk[0], &keyagg_cache, &session) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, NULL, &pubnonce[0], &pk[0], &keyagg_cache, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &invalid_partial_sig, &pubnonce[0], &pk[0], &keyagg_cache, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], NULL, &pk[0], &keyagg_cache, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &invalid_pubnonce, &pk[0], &keyagg_cache, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], NULL, &keyagg_cache, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &invalid_pk, &keyagg_cache, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], NULL, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &invalid_keyagg_cache, &session));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, &invalid_session));
+
+ CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], &keyagg_cache, &session) == 1);
+ CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[1], &pubnonce[1], &pk[1], &keyagg_cache, &session) == 1);
+
+ /** Signature aggregation and verification */
+ CHECK(secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 2) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, NULL, &session, partial_sig_ptr, 2));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, NULL, partial_sig_ptr, 2));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &invalid_session, partial_sig_ptr, 2));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, NULL, 2));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, invalid_partial_sig_ptr, 2));
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 0));
+ CHECK(secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 1) == 1);
+ CHECK(secp256k1_musig_partial_sig_agg(CTX, pre_sig, &session, partial_sig_ptr, 2) == 1);
+}
+
+static void musig_nonce_bitflip(unsigned char **args, size_t n_flip, size_t n_bytes) {
+ secp256k1_scalar k1[2], k2[2];
+
+ secp256k1_nonce_function_musig(k1, args[0], args[1], args[2], args[3], args[4], args[5]);
+ testrand_flip(args[n_flip], n_bytes);
+ secp256k1_nonce_function_musig(k2, args[0], args[1], args[2], args[3], args[4], args[5]);
+ CHECK(secp256k1_scalar_eq(&k1[0], &k2[0]) == 0);
+ CHECK(secp256k1_scalar_eq(&k1[1], &k2[1]) == 0);
+}
+
+static void musig_nonce_test(void) {
+ unsigned char *args[6];
+ unsigned char session_secrand[32];
+ unsigned char sk[32];
+ unsigned char pk[33];
+ unsigned char msg[32];
+ unsigned char agg_pk[32];
+ unsigned char extra_input[32];
+ int i, j;
+ secp256k1_scalar k[6][2];
+
+ testrand_bytes_test(session_secrand, sizeof(session_secrand));
+ testrand_bytes_test(sk, sizeof(sk));
+ testrand_bytes_test(pk, sizeof(pk));
+ testrand_bytes_test(msg, sizeof(msg));
+ testrand_bytes_test(agg_pk, sizeof(agg_pk));
+ testrand_bytes_test(extra_input, sizeof(extra_input));
+
+ /* Check that a bitflip in an argument results in different nonces. */
+ args[0] = session_secrand;
+ args[1] = msg;
+ args[2] = sk;
+ args[3] = pk;
+ args[4] = agg_pk;
+ args[5] = extra_input;
+ for (i = 0; i < COUNT; i++) {
+ musig_nonce_bitflip(args, 0, sizeof(session_secrand));
+ musig_nonce_bitflip(args, 1, sizeof(msg));
+ musig_nonce_bitflip(args, 2, sizeof(sk));
+ musig_nonce_bitflip(args, 3, sizeof(pk));
+ musig_nonce_bitflip(args, 4, sizeof(agg_pk));
+ musig_nonce_bitflip(args, 5, sizeof(extra_input));
+ }
+ /* Check that if any argument is NULL, a different nonce is produced than if
+ * any other argument is NULL. */
+ memcpy(msg, session_secrand, sizeof(msg));
+ memcpy(sk, session_secrand, sizeof(sk));
+ memcpy(pk, session_secrand, sizeof(session_secrand));
+ memcpy(agg_pk, session_secrand, sizeof(agg_pk));
+ memcpy(extra_input, session_secrand, sizeof(extra_input));
+ secp256k1_nonce_function_musig(k[0], args[0], args[1], args[2], args[3], args[4], args[5]);
+ secp256k1_nonce_function_musig(k[1], args[0], NULL, args[2], args[3], args[4], args[5]);
+ secp256k1_nonce_function_musig(k[2], args[0], args[1], NULL, args[3], args[4], args[5]);
+ secp256k1_nonce_function_musig(k[3], args[0], args[1], args[2], NULL, args[4], args[5]);
+ secp256k1_nonce_function_musig(k[4], args[0], args[1], args[2], args[3], NULL, args[5]);
+ secp256k1_nonce_function_musig(k[5], args[0], args[1], args[2], args[3], args[4], NULL);
+ for (i = 0; i < 6; i++) {
+ CHECK(!secp256k1_scalar_eq(&k[i][0], &k[i][1]));
+ for (j = i+1; j < 6; j++) {
+ CHECK(!secp256k1_scalar_eq(&k[i][0], &k[j][0]));
+ CHECK(!secp256k1_scalar_eq(&k[i][1], &k[j][1]));
+ }
+ }
+}
+
+static void sha256_tag_test_internal(secp256k1_sha256 *sha_tagged, unsigned char *tag, size_t taglen) {
+ secp256k1_sha256 sha;
+ secp256k1_sha256_initialize_tagged(&sha, tag, taglen);
+ test_sha256_eq(&sha, sha_tagged);
+}
+
+/* Checks that the initialized tagged hashes have the expected
+ * state. */
+static void sha256_tag_test(void) {
+ secp256k1_sha256 sha;
+ {
+ char tag[] = "KeyAgg list";
+ secp256k1_musig_keyagglist_sha256(&sha);
+ sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1);
+ }
+ {
+ char tag[] = "KeyAgg coefficient";
+ secp256k1_musig_keyaggcoef_sha256(&sha);
+ sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1);
+ }
+ {
+ unsigned char tag[] = "MuSig/aux";
+ secp256k1_nonce_function_musig_sha256_tagged_aux(&sha);
+ sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1);
+ }
+ {
+ unsigned char tag[] = "MuSig/nonce";
+ secp256k1_nonce_function_musig_sha256_tagged(&sha);
+ sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1);
+ }
+ {
+ unsigned char tag[] = "MuSig/noncecoef";
+ secp256k1_musig_compute_noncehash_sha256_tagged(&sha);
+ sha256_tag_test_internal(&sha, (unsigned char*)tag, sizeof(tag) - 1);
+ }
+}
+
+/* Attempts to create a signature for the aggregate public key using given secret
+ * keys and keyagg_cache. */
+static void musig_tweak_test_helper(const secp256k1_xonly_pubkey* agg_pk, const unsigned char *sk0, const unsigned char *sk1, secp256k1_musig_keyagg_cache *keyagg_cache) {
+ secp256k1_pubkey pk[2];
+ unsigned char session_secrand[2][32];
+ unsigned char msg[32];
+ secp256k1_musig_secnonce secnonce[2];
+ secp256k1_musig_pubnonce pubnonce[2];
+ const secp256k1_musig_pubnonce *pubnonce_ptr[2];
+ secp256k1_musig_aggnonce aggnonce;
+ secp256k1_keypair keypair[2];
+ secp256k1_musig_session session;
+ secp256k1_musig_partial_sig partial_sig[2];
+ const secp256k1_musig_partial_sig *partial_sig_ptr[2];
+ unsigned char final_sig[64];
+ int i;
+
+ for (i = 0; i < 2; i++) {
+ pubnonce_ptr[i] = &pubnonce[i];
+ partial_sig_ptr[i] = &partial_sig[i];
+
+ testrand256(session_secrand[i]);
+ }
+ CHECK(create_keypair_and_pk(&keypair[0], &pk[0], sk0) == 1);
+ CHECK(create_keypair_and_pk(&keypair[1], &pk[1], sk1) == 1);
+ testrand256(msg);
+
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[0], &pubnonce[0], session_secrand[0], sk0, &pk[0], NULL, NULL, NULL) == 1);
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce[1], &pubnonce[1], session_secrand[1], sk1, &pk[1], NULL, NULL, NULL) == 1);
+
+ CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2) == 1);
+ CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, msg, keyagg_cache) == 1);
+
+ CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[0], &secnonce[0], &keypair[0], keyagg_cache, &session) == 1);
+ CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig[1], &secnonce[1], &keypair[1], keyagg_cache, &session) == 1);
+
+ CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[0], &pubnonce[0], &pk[0], keyagg_cache, &session) == 1);
+ CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig[1], &pubnonce[1], &pk[1], keyagg_cache, &session) == 1);
+
+ CHECK(secp256k1_musig_partial_sig_agg(CTX, final_sig, &session, partial_sig_ptr, 2) == 1);
+ CHECK(secp256k1_schnorrsig_verify(CTX, final_sig, msg, sizeof(msg), agg_pk) == 1);
+}
+
+/* Create aggregate public key P[0], tweak multiple times (using xonly and
+ * plain tweaking) and test signing. */
+static void musig_tweak_test(void) {
+ unsigned char sk[2][32];
+ secp256k1_pubkey pk[2];
+ const secp256k1_pubkey *pk_ptr[2];
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ enum { N_TWEAKS = 8 };
+ secp256k1_pubkey P[N_TWEAKS + 1];
+ secp256k1_xonly_pubkey P_xonly[N_TWEAKS + 1];
+ int i;
+
+ /* Key Setup */
+ for (i = 0; i < 2; i++) {
+ pk_ptr[i] = &pk[i];
+ testrand256(sk[i]);
+ CHECK(create_keypair_and_pk(NULL, &pk[i], sk[i]) == 1);
+ }
+ /* Compute P0 = keyagg(pk0, pk1) and test signing for it */
+ CHECK(secp256k1_musig_pubkey_agg(CTX, &P_xonly[0], &keyagg_cache, pk_ptr, 2) == 1);
+ musig_tweak_test_helper(&P_xonly[0], sk[0], sk[1], &keyagg_cache);
+ CHECK(secp256k1_musig_pubkey_get(CTX, &P[0], &keyagg_cache));
+
+ /* Compute Pi = f(Pj) + tweaki*G where where j = i-1 and try signing for
+ * that key. If xonly is set to true, the function f normalizes the input
+ * point to have an even X-coordinate ("xonly-tweaking").
+ * Otherwise, the function f is the identity function. */
+ for (i = 1; i <= N_TWEAKS; i++) {
+ unsigned char tweak[32];
+ int P_parity;
+ int xonly = testrand_bits(1);
+
+ testrand256(tweak);
+ if (xonly) {
+ CHECK(secp256k1_musig_pubkey_xonly_tweak_add(CTX, &P[i], &keyagg_cache, tweak) == 1);
+ } else {
+ CHECK(secp256k1_musig_pubkey_ec_tweak_add(CTX, &P[i], &keyagg_cache, tweak) == 1);
+ }
+ CHECK(secp256k1_xonly_pubkey_from_pubkey(CTX, &P_xonly[i], &P_parity, &P[i]));
+ /* Check that musig_pubkey_tweak_add produces same result as
+ * xonly_pubkey_tweak_add or ec_pubkey_tweak_add. */
+ if (xonly) {
+ unsigned char P_serialized[32];
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, P_serialized, &P_xonly[i]));
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, P_serialized, P_parity, &P_xonly[i-1], tweak) == 1);
+ } else {
+ secp256k1_pubkey tmp_key = P[i-1];
+ CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &tmp_key, tweak));
+ CHECK(secp256k1_memcmp_var(&tmp_key, &P[i], sizeof(tmp_key)) == 0);
+ }
+ /* Test signing for P[i] */
+ musig_tweak_test_helper(&P_xonly[i], sk[0], sk[1], &keyagg_cache);
+ }
+}
+
+int musig_vectors_keyagg_and_tweak(enum MUSIG_ERROR *error,
+ secp256k1_musig_keyagg_cache *keyagg_cache,
+ unsigned char *agg_pk_ser,
+ const unsigned char pubkeys33[][33],
+ const unsigned char tweaks32[][32],
+ size_t key_indices_len,
+ const size_t *key_indices,
+ size_t tweak_indices_len,
+ const size_t *tweak_indices,
+ const int *is_xonly) {
+ secp256k1_pubkey pubkeys[MUSIG_VECTORS_MAX_PUBKEYS];
+ const secp256k1_pubkey *pk_ptr[MUSIG_VECTORS_MAX_PUBKEYS];
+ int i;
+ secp256k1_pubkey agg_pk;
+ secp256k1_xonly_pubkey agg_pk_xonly;
+
+ for (i = 0; i < (int)key_indices_len; i++) {
+ if (!secp256k1_ec_pubkey_parse(CTX, &pubkeys[i], pubkeys33[key_indices[i]], 33)) {
+ *error = MUSIG_PUBKEY;
+ return 0;
+ }
+ pk_ptr[i] = &pubkeys[i];
+ }
+ if (!secp256k1_musig_pubkey_agg(CTX, NULL, keyagg_cache, pk_ptr, key_indices_len)) {
+ *error = MUSIG_OTHER;
+ return 0;
+ }
+
+ for (i = 0; i < (int)tweak_indices_len; i++) {
+ if (is_xonly[i]) {
+ if (!secp256k1_musig_pubkey_xonly_tweak_add(CTX, NULL, keyagg_cache, tweaks32[tweak_indices[i]])) {
+ *error = MUSIG_TWEAK;
+ return 0;
+ }
+ } else {
+ if (!secp256k1_musig_pubkey_ec_tweak_add(CTX, NULL, keyagg_cache, tweaks32[tweak_indices[i]])) {
+ *error = MUSIG_TWEAK;
+ return 0;
+ }
+ }
+ }
+ if (!secp256k1_musig_pubkey_get(CTX, &agg_pk, keyagg_cache)) {
+ *error = MUSIG_OTHER;
+ return 0;
+ }
+
+ if (!secp256k1_xonly_pubkey_from_pubkey(CTX, &agg_pk_xonly, NULL, &agg_pk)) {
+ *error = MUSIG_OTHER;
+ return 0;
+ }
+
+ if (agg_pk_ser != NULL) {
+ if (!secp256k1_xonly_pubkey_serialize(CTX, agg_pk_ser, &agg_pk_xonly)) {
+ *error = MUSIG_OTHER;
+ return 0;
+ }
+ }
+
+ return 1;
+}
+
+static void musig_test_vectors_keyagg(void) {
+ size_t i;
+ const struct musig_key_agg_vector *vector = &musig_key_agg_vector;
+
+ for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) {
+ const struct musig_key_agg_valid_test_case *c = &vector->valid_case[i];
+ enum MUSIG_ERROR error;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ unsigned char agg_pk[32];
+
+ CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, agg_pk, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, 0, NULL, NULL));
+ CHECK(secp256k1_memcmp_var(agg_pk, c->expected, sizeof(agg_pk)) == 0);
+ }
+
+ for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) {
+ const struct musig_key_agg_error_test_case *c = &vector->error_case[i];
+ enum MUSIG_ERROR error;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+
+ CHECK(!musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly));
+ CHECK(c->error == error);
+ }
+}
+
+static void musig_test_vectors_noncegen(void) {
+ size_t i;
+ const struct musig_nonce_gen_vector *vector = &musig_nonce_gen_vector;
+
+ for (i = 0; i < sizeof(vector->test_case)/sizeof(vector->test_case[0]); i++) {
+ const struct musig_nonce_gen_test_case *c = &vector->test_case[i];
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ secp256k1_musig_keyagg_cache *keyagg_cache_ptr = NULL;
+ unsigned char session_secrand32[32];
+ secp256k1_musig_secnonce secnonce;
+ secp256k1_musig_pubnonce pubnonce;
+ const unsigned char *sk = NULL;
+ const unsigned char *msg = NULL;
+ const unsigned char *extra_in = NULL;
+ secp256k1_pubkey pk;
+ unsigned char pubnonce66[66];
+
+ memcpy(session_secrand32, c->rand_, 32);
+ if (c->has_sk) {
+ sk = c->sk;
+ }
+ if (c->has_aggpk) {
+ /* Create keyagg_cache from aggpk */
+ secp256k1_keyagg_cache_internal cache_i;
+ secp256k1_xonly_pubkey aggpk;
+ memset(&cache_i, 0, sizeof(cache_i));
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &aggpk, c->aggpk));
+ CHECK(secp256k1_xonly_pubkey_load(CTX, &cache_i.pk, &aggpk));
+ secp256k1_keyagg_cache_save(&keyagg_cache, &cache_i);
+ keyagg_cache_ptr = &keyagg_cache;
+ }
+ if (c->has_msg) {
+ msg = c->msg;
+ }
+ if (c->has_extra_in) {
+ extra_in = c->extra_in;
+ }
+
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pk, c->pk, sizeof(c->pk)));
+ CHECK(secp256k1_musig_nonce_gen(CTX, &secnonce, &pubnonce, session_secrand32, sk, &pk, msg, keyagg_cache_ptr, extra_in) == 1);
+ CHECK(secp256k1_memcmp_var(&secnonce.data[4], c->expected_secnonce, 2*32) == 0);
+ /* The last element of the secnonce is the public key (uncompressed in
+ * secp256k1_musig_secnonce, compressed in the test vector secnonce). */
+ CHECK(secp256k1_memcmp_var(&secnonce.data[4+2*32], &pk, sizeof(pk)) == 0);
+ CHECK(secp256k1_memcmp_var(&c->expected_secnonce[2*32], c->pk, sizeof(c->pk)) == 0);
+
+ CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce66, &pubnonce) == 1);
+ CHECK(sizeof(c->expected_pubnonce) == sizeof(pubnonce66));
+ CHECK(secp256k1_memcmp_var(pubnonce66, c->expected_pubnonce, sizeof(pubnonce66)) == 0);
+ }
+}
+
+
+static void musig_test_vectors_nonceagg(void) {
+ size_t i;
+ int j;
+ const struct musig_nonce_agg_vector *vector = &musig_nonce_agg_vector;
+
+ for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) {
+ const struct musig_nonce_agg_test_case *c = &vector->valid_case[i];
+ secp256k1_musig_pubnonce pubnonce[2];
+ const secp256k1_musig_pubnonce *pubnonce_ptr[2];
+ secp256k1_musig_aggnonce aggnonce;
+ unsigned char aggnonce66[66];
+
+ for (j = 0; j < 2; j++) {
+ CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[j], vector->pnonces[c->pnonce_indices[j]]) == 1);
+ pubnonce_ptr[j] = &pubnonce[j];
+ }
+ CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, 2));
+ CHECK(secp256k1_musig_aggnonce_serialize(CTX, aggnonce66, &aggnonce));
+ CHECK(secp256k1_memcmp_var(aggnonce66, c->expected, 33) == 0);
+ }
+ for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) {
+ const struct musig_nonce_agg_test_case *c = &vector->error_case[i];
+ secp256k1_musig_pubnonce pubnonce[2];
+ for (j = 0; j < 2; j++) {
+ int expected = c->invalid_nonce_idx != j;
+ CHECK(expected == secp256k1_musig_pubnonce_parse(CTX, &pubnonce[j], vector->pnonces[c->pnonce_indices[j]]));
+ }
+ }
+}
+
+static void musig_test_set_secnonce(secp256k1_musig_secnonce *secnonce, const unsigned char *secnonce64, const secp256k1_pubkey *pubkey) {
+ secp256k1_ge pk;
+ secp256k1_scalar k[2];
+
+ secp256k1_scalar_set_b32(&k[0], &secnonce64[0], NULL);
+ secp256k1_scalar_set_b32(&k[1], &secnonce64[32], NULL);
+ CHECK(secp256k1_pubkey_load(CTX, &pk, pubkey));
+ secp256k1_musig_secnonce_save(secnonce, k, &pk);
+}
+
+static void musig_test_vectors_signverify(void) {
+ size_t i;
+ const struct musig_sign_verify_vector *vector = &musig_sign_verify_vector;
+
+ for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) {
+ const struct musig_valid_case *c = &vector->valid_case[i];
+ enum MUSIG_ERROR error;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ secp256k1_pubkey pubkey;
+ secp256k1_musig_pubnonce pubnonce;
+ secp256k1_musig_aggnonce aggnonce;
+ secp256k1_musig_session session;
+ secp256k1_musig_partial_sig partial_sig;
+ secp256k1_musig_secnonce secnonce;
+ secp256k1_keypair keypair;
+ unsigned char partial_sig32[32];
+
+ CHECK(secp256k1_keypair_create(CTX, &keypair, vector->sk));
+ CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL));
+
+ CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, vector->aggnonces[c->aggnonce_index]));
+ CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msgs[c->msg_index], &keyagg_cache));
+
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[0], sizeof(vector->pubkeys[0])));
+ musig_test_set_secnonce(&secnonce, vector->secnonces[0], &pubkey);
+ CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session));
+ CHECK(secp256k1_musig_partial_sig_serialize(CTX, partial_sig32, &partial_sig));
+ CHECK(secp256k1_memcmp_var(partial_sig32, c->expected, sizeof(partial_sig32)) == 0);
+
+ CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce, vector->pubnonces[0]));
+ CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig, &pubnonce, &pubkey, &keyagg_cache, &session));
+ }
+ for (i = 0; i < sizeof(vector->sign_error_case)/sizeof(vector->sign_error_case[0]); i++) {
+ const struct musig_sign_error_case *c = &vector->sign_error_case[i];
+ enum MUSIG_ERROR error;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ secp256k1_pubkey pubkey;
+ secp256k1_musig_aggnonce aggnonce;
+ secp256k1_musig_session session;
+ secp256k1_musig_partial_sig partial_sig;
+ secp256k1_musig_secnonce secnonce;
+ secp256k1_keypair keypair;
+ int expected;
+
+ if (i == 0) {
+ /* Skip this vector since the implementation does not error out when
+ * the signing key does not belong to any pubkey. */
+ continue;
+ }
+ expected = c->error != MUSIG_PUBKEY;
+ CHECK(expected == musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL));
+ CHECK(expected || c->error == error);
+ if (!expected) {
+ continue;
+ }
+
+ expected = c->error != MUSIG_AGGNONCE;
+ CHECK(expected == secp256k1_musig_aggnonce_parse(CTX, &aggnonce, vector->aggnonces[c->aggnonce_index]));
+ if (!expected) {
+ continue;
+ }
+ CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msgs[c->msg_index], &keyagg_cache));
+
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[0], sizeof(vector->pubkeys[0])));
+ musig_test_set_secnonce(&secnonce, vector->secnonces[c->secnonce_index], &pubkey);
+ expected = c->error != MUSIG_SECNONCE;
+ if (expected) {
+ CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session));
+ } else {
+ CHECK_ILLEGAL(CTX, secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session));
+ }
+ }
+ for (i = 0; i < sizeof(vector->verify_fail_case)/sizeof(vector->verify_fail_case[0]); i++) {
+ const struct musig_verify_fail_error_case *c = &vector->verify_fail_case[i];
+ enum MUSIG_ERROR error;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ secp256k1_musig_aggnonce aggnonce;
+ secp256k1_musig_session session;
+ secp256k1_musig_partial_sig partial_sig;
+ enum { NUM_PUBNONCES = 3 };
+ secp256k1_musig_pubnonce pubnonce[NUM_PUBNONCES];
+ const secp256k1_musig_pubnonce *pubnonce_ptr[NUM_PUBNONCES];
+ secp256k1_pubkey pubkey;
+ int expected;
+ size_t j;
+
+ CHECK(NUM_PUBNONCES <= c->nonce_indices_len);
+ for (j = 0; j < c->nonce_indices_len; j++) {
+ CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce[j], vector->pubnonces[c->nonce_indices[j]]));
+ pubnonce_ptr[j] = &pubnonce[j];
+ }
+
+ CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL));
+ CHECK(secp256k1_musig_nonce_agg(CTX, &aggnonce, pubnonce_ptr, c->nonce_indices_len) == 1);
+ CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msgs[c->msg_index], &keyagg_cache));
+
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[c->signer_index], sizeof(vector->pubkeys[0])));
+
+ expected = c->error != MUSIG_SIG;
+ CHECK(expected == secp256k1_musig_partial_sig_parse(CTX, &partial_sig, c->sig));
+ if (!expected) {
+ continue;
+ }
+ expected = c->error != MUSIG_SIG_VERIFY;
+ CHECK(expected == secp256k1_musig_partial_sig_verify(CTX, &partial_sig, pubnonce, &pubkey, &keyagg_cache, &session));
+ }
+ for (i = 0; i < sizeof(vector->verify_error_case)/sizeof(vector->verify_error_case[0]); i++) {
+ const struct musig_verify_fail_error_case *c = &vector->verify_error_case[i];
+ enum MUSIG_ERROR error;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ secp256k1_musig_pubnonce pubnonce;
+ int expected;
+
+ expected = c->error != MUSIG_PUBKEY;
+ CHECK(expected == musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, NULL, c->key_indices_len, c->key_indices, 0, NULL, NULL));
+ CHECK(expected || c->error == error);
+ if (!expected) {
+ continue;
+ }
+ expected = c->error != MUSIG_PUBNONCE;
+ CHECK(expected == secp256k1_musig_pubnonce_parse(CTX, &pubnonce, vector->pubnonces[c->nonce_indices[c->signer_index]]));
+ }
+}
+
+static void musig_test_vectors_tweak(void) {
+ size_t i;
+ const struct musig_tweak_vector *vector = &musig_tweak_vector;
+ secp256k1_pubkey pubkey;
+ secp256k1_musig_aggnonce aggnonce;
+ secp256k1_musig_secnonce secnonce;
+
+ CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, vector->aggnonce));
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, vector->pubkeys[0], sizeof(vector->pubkeys[0])));
+
+ for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) {
+ const struct musig_tweak_case *c = &vector->valid_case[i];
+ enum MUSIG_ERROR error;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ secp256k1_musig_pubnonce pubnonce;
+ secp256k1_musig_session session;
+ secp256k1_musig_partial_sig partial_sig;
+ secp256k1_keypair keypair;
+ unsigned char partial_sig32[32];
+
+ musig_test_set_secnonce(&secnonce, vector->secnonce, &pubkey);
+
+ CHECK(secp256k1_keypair_create(CTX, &keypair, vector->sk));
+ CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly));
+
+ CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msg, &keyagg_cache));
+
+ CHECK(secp256k1_musig_partial_sign(CTX, &partial_sig, &secnonce, &keypair, &keyagg_cache, &session));
+ CHECK(secp256k1_musig_partial_sig_serialize(CTX, partial_sig32, &partial_sig));
+ CHECK(secp256k1_memcmp_var(partial_sig32, c->expected, sizeof(partial_sig32)) == 0);
+
+ CHECK(secp256k1_musig_pubnonce_parse(CTX, &pubnonce, vector->pubnonces[c->nonce_indices[c->signer_index]]));
+ CHECK(secp256k1_musig_partial_sig_verify(CTX, &partial_sig, &pubnonce, &pubkey, &keyagg_cache, &session));
+ }
+ for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) {
+ const struct musig_tweak_case *c = &vector->error_case[i];
+ enum MUSIG_ERROR error;
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ CHECK(!musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, NULL, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly));
+ CHECK(error == MUSIG_TWEAK);
+ }
+}
+
+static void musig_test_vectors_sigagg(void) {
+ size_t i, j;
+ const struct musig_sig_agg_vector *vector = &musig_sig_agg_vector;
+
+ for (i = 0; i < sizeof(vector->valid_case)/sizeof(vector->valid_case[0]); i++) {
+ const struct musig_sig_agg_case *c = &vector->valid_case[i];
+ enum MUSIG_ERROR error;
+ unsigned char final_sig[64];
+ secp256k1_musig_keyagg_cache keyagg_cache;
+ unsigned char agg_pk32[32];
+ secp256k1_xonly_pubkey agg_pk;
+ secp256k1_musig_aggnonce aggnonce;
+ secp256k1_musig_session session;
+ secp256k1_musig_partial_sig partial_sig[(sizeof(vector->psigs)/sizeof(vector->psigs[0]))];
+ const secp256k1_musig_partial_sig *partial_sig_ptr[(sizeof(vector->psigs)/sizeof(vector->psigs[0]))];
+
+ CHECK(musig_vectors_keyagg_and_tweak(&error, &keyagg_cache, agg_pk32, vector->pubkeys, vector->tweaks, c->key_indices_len, c->key_indices, c->tweak_indices_len, c->tweak_indices, c->is_xonly));
+ CHECK(secp256k1_musig_aggnonce_parse(CTX, &aggnonce, c->aggnonce));
+ CHECK(secp256k1_musig_nonce_process(CTX, &session, &aggnonce, vector->msg, &keyagg_cache));
+ for (j = 0; j < c->psig_indices_len; j++) {
+ CHECK(secp256k1_musig_partial_sig_parse(CTX, &partial_sig[j], vector->psigs[c->psig_indices[j]]));
+ partial_sig_ptr[j] = &partial_sig[j];
+ }
+
+ CHECK(secp256k1_musig_partial_sig_agg(CTX, final_sig, &session, partial_sig_ptr, c->psig_indices_len) == 1);
+ CHECK(secp256k1_memcmp_var(final_sig, c->expected, sizeof(final_sig)) == 0);
+
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &agg_pk, agg_pk32));
+ CHECK(secp256k1_schnorrsig_verify(CTX, final_sig, vector->msg, sizeof(vector->msg), &agg_pk) == 1);
+ }
+ for (i = 0; i < sizeof(vector->error_case)/sizeof(vector->error_case[0]); i++) {
+ const struct musig_sig_agg_case *c = &vector->error_case[i];
+ secp256k1_musig_partial_sig partial_sig[(sizeof(vector->psigs)/sizeof(vector->psigs[0]))];
+ for (j = 0; j < c->psig_indices_len; j++) {
+ int expected = c->invalid_sig_idx != (int)j;
+ CHECK(expected == secp256k1_musig_partial_sig_parse(CTX, &partial_sig[j], vector->psigs[c->psig_indices[j]]));
+ }
+ }
+}
+
+/* Since the BIP doesn't provide static test vectors for nonce_gen_counter, we
+ * define a static test here */
+static void musig_test_static_nonce_gen_counter(void) {
+ secp256k1_musig_secnonce secnonce;
+ secp256k1_musig_pubnonce pubnonce;
+ unsigned char pubnonce66[66];
+ secp256k1_pubkey pk;
+ secp256k1_keypair keypair;
+ uint64_t nonrepeating_cnt = 0;
+ unsigned char sk[32] = {
+ 0xEE, 0xC1, 0xCB, 0x7D, 0x1B, 0x72, 0x54, 0xC5,
+ 0xCA, 0xB0, 0xD9, 0xC6, 0x1A, 0xB0, 0x2E, 0x64,
+ 0x3D, 0x46, 0x4A, 0x59, 0xFE, 0x6C, 0x96, 0xA7,
+ 0xEF, 0xE8, 0x71, 0xF0, 0x7C, 0x5A, 0xEF, 0x54,
+ };
+ unsigned char expected_secnonce[64] = {
+ 0x84, 0x2F, 0x13, 0x80, 0xCD, 0x17, 0xA1, 0x98,
+ 0xFC, 0x3D, 0xAD, 0x3B, 0x7D, 0xA7, 0x49, 0x29,
+ 0x41, 0xF4, 0x69, 0x76, 0xF2, 0x70, 0x2F, 0xF7,
+ 0xC6, 0x6F, 0x24, 0xF4, 0x72, 0x03, 0x6A, 0xF1,
+ 0xDA, 0x3F, 0x95, 0x2D, 0xDE, 0x4A, 0x2D, 0xA6,
+ 0xB6, 0x32, 0x57, 0x07, 0xCE, 0x87, 0xA4, 0xE3,
+ 0x61, 0x6D, 0x06, 0xFC, 0x5F, 0x81, 0xA9, 0xC9,
+ 0x93, 0x86, 0xD2, 0x0A, 0x99, 0xCE, 0xCF, 0x99,
+ };
+ unsigned char expected_pubnonce[66] = {
+ 0x03, 0xA5, 0xB9, 0xB6, 0x90, 0x79, 0x42, 0xEA,
+ 0xCD, 0xDA, 0x49, 0xA3, 0x66, 0x01, 0x6E, 0xC2,
+ 0xE6, 0x24, 0x04, 0xA1, 0xBF, 0x4A, 0xB6, 0xD4,
+ 0xDB, 0x82, 0x06, 0x7B, 0xC3, 0xAD, 0xF0, 0x86,
+ 0xD7, 0x03, 0x32, 0x05, 0xDB, 0x9E, 0xB3, 0x4D,
+ 0x5C, 0x7C, 0xE0, 0x28, 0x48, 0xCA, 0xC6, 0x8A,
+ 0x83, 0xED, 0x73, 0xE3, 0x88, 0x34, 0x77, 0xF5,
+ 0x63, 0xF2, 0x3C, 0xE9, 0xA1, 0x1A, 0x77, 0x21,
+ 0xEC, 0x64,
+ };
+
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk));
+ CHECK(secp256k1_keypair_pub(CTX, &pk, &keypair));
+ CHECK(secp256k1_musig_nonce_gen_counter(CTX, &secnonce, &pubnonce, nonrepeating_cnt, &keypair, NULL, NULL, NULL) == 1);
+
+ CHECK(secp256k1_memcmp_var(&secnonce.data[4], expected_secnonce, 2*32) == 0);
+ CHECK(secp256k1_memcmp_var(&secnonce.data[4+2*32], &pk, sizeof(pk)) == 0);
+
+ CHECK(secp256k1_musig_pubnonce_serialize(CTX, pubnonce66, &pubnonce) == 1);
+ CHECK(secp256k1_memcmp_var(pubnonce66, expected_pubnonce, sizeof(pubnonce66)) == 0);
+}
+
+static void run_musig_tests(void) {
+ int i;
+
+ for (i = 0; i < COUNT; i++) {
+ musig_simple_test();
+ }
+ musig_api_tests();
+ musig_nonce_test();
+ for (i = 0; i < COUNT; i++) {
+ /* Run multiple times to ensure that pk and nonce have different y
+ * parities */
+ musig_tweak_test();
+ }
+ sha256_tag_test();
+ musig_test_vectors_keyagg();
+ musig_test_vectors_noncegen();
+ musig_test_vectors_nonceagg();
+ musig_test_vectors_signverify();
+ musig_test_vectors_tweak();
+ musig_test_vectors_sigagg();
+
+ musig_test_static_nonce_gen_counter();
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/vectors.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/vectors.h
new file mode 100644
index 00000000..8407c2a6
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/musig/vectors.h
@@ -0,0 +1,346 @@
+/**
+ * Automatically generated by ./tools/test_vectors_musig2_generate.py.
+ *
+ * The test vectors for the KeySort function are included in this file. They can
+ * be found in src/modules/extrakeys/tests_impl.h. */
+
+enum MUSIG_ERROR {
+ MUSIG_PUBKEY,
+ MUSIG_TWEAK,
+ MUSIG_PUBNONCE,
+ MUSIG_AGGNONCE,
+ MUSIG_SECNONCE,
+ MUSIG_SIG,
+ MUSIG_SIG_VERIFY,
+ MUSIG_OTHER
+};
+
+struct musig_key_agg_valid_test_case {
+ size_t key_indices_len;
+ size_t key_indices[4];
+ unsigned char expected[32];
+};
+
+struct musig_key_agg_error_test_case {
+ size_t key_indices_len;
+ size_t key_indices[4];
+ size_t tweak_indices_len;
+ size_t tweak_indices[1];
+ int is_xonly[1];
+ enum MUSIG_ERROR error;
+};
+
+struct musig_key_agg_vector {
+ unsigned char pubkeys[7][33];
+ unsigned char tweaks[2][32];
+ struct musig_key_agg_valid_test_case valid_case[4];
+ struct musig_key_agg_error_test_case error_case[5];
+};
+
+static const struct musig_key_agg_vector musig_key_agg_vector = {
+ {
+ { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 },
+ { 0x03, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 },
+ { 0x02, 0x35, 0x90, 0xA9, 0x4E, 0x76, 0x8F, 0x8E, 0x18, 0x15, 0xC2, 0xF2, 0x4B, 0x4D, 0x80, 0xA8, 0xE3, 0x14, 0x93, 0x16, 0xC3, 0x51, 0x8C, 0xE7, 0xB7, 0xAD, 0x33, 0x83, 0x68, 0xD0, 0x38, 0xCA, 0x66 },
+ { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05 },
+ { 0x02, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 },
+ { 0x04, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 },
+ { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }
+ },
+ {
+ { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 },
+ { 0x25, 0x2E, 0x4B, 0xD6, 0x74, 0x10, 0xA7, 0x6C, 0xDF, 0x93, 0x3D, 0x30, 0xEA, 0xA1, 0x60, 0x82, 0x14, 0x03, 0x7F, 0x1B, 0x10, 0x5A, 0x01, 0x3E, 0xCC, 0xD3, 0xC5, 0xC1, 0x84, 0xA6, 0x11, 0x0B }
+ },
+ {
+ { 3, { 0, 1, 2 }, { 0x90, 0x53, 0x9E, 0xED, 0xE5, 0x65, 0xF5, 0xD0, 0x54, 0xF3, 0x2C, 0xC0, 0xC2, 0x20, 0x12, 0x68, 0x89, 0xED, 0x1E, 0x5D, 0x19, 0x3B, 0xAF, 0x15, 0xAE, 0xF3, 0x44, 0xFE, 0x59, 0xD4, 0x61, 0x0C }},
+ { 3, { 2, 1, 0 }, { 0x62, 0x04, 0xDE, 0x8B, 0x08, 0x34, 0x26, 0xDC, 0x6E, 0xAF, 0x95, 0x02, 0xD2, 0x70, 0x24, 0xD5, 0x3F, 0xC8, 0x26, 0xBF, 0x7D, 0x20, 0x12, 0x14, 0x8A, 0x05, 0x75, 0x43, 0x5D, 0xF5, 0x4B, 0x2B }},
+ { 3, { 0, 0, 0 }, { 0xB4, 0x36, 0xE3, 0xBA, 0xD6, 0x2B, 0x8C, 0xD4, 0x09, 0x96, 0x9A, 0x22, 0x47, 0x31, 0xC1, 0x93, 0xD0, 0x51, 0x16, 0x2D, 0x8C, 0x5A, 0xE8, 0xB1, 0x09, 0x30, 0x61, 0x27, 0xDA, 0x3A, 0xA9, 0x35 }},
+ { 4, { 0, 0, 1, 1 }, { 0x69, 0xBC, 0x22, 0xBF, 0xA5, 0xD1, 0x06, 0x30, 0x6E, 0x48, 0xA2, 0x06, 0x79, 0xDE, 0x1D, 0x73, 0x89, 0x38, 0x61, 0x24, 0xD0, 0x75, 0x71, 0xD0, 0xD8, 0x72, 0x68, 0x60, 0x28, 0xC2, 0x6A, 0x3E }},
+ },
+ {
+ { 2, { 0, 3 }, 0, { 0 }, { 0 }, MUSIG_PUBKEY },
+ { 2, { 0, 4 }, 0, { 0 }, { 0 }, MUSIG_PUBKEY },
+ { 2, { 5, 0 }, 0, { 0 }, { 0 }, MUSIG_PUBKEY },
+ { 2, { 0, 1 }, 1, { 0 }, { 1 }, MUSIG_TWEAK },
+ { 1, { 6 }, 1, { 1 }, { 0 }, MUSIG_TWEAK },
+ },
+};
+
+struct musig_nonce_gen_test_case {
+ unsigned char rand_[32];
+ int has_sk;
+ unsigned char sk[32];
+ unsigned char pk[33];
+ int has_aggpk;
+ unsigned char aggpk[32];
+ int has_msg;
+ unsigned char msg[32];
+ int has_extra_in;
+ unsigned char extra_in[32];
+ unsigned char expected_secnonce[97];
+ unsigned char expected_pubnonce[66];
+};
+
+struct musig_nonce_gen_vector {
+ struct musig_nonce_gen_test_case test_case[2];
+};
+
+static const struct musig_nonce_gen_vector musig_nonce_gen_vector = {
+ {
+ { { 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F }, 1 , { 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02 }, { 0x02, 0x4D, 0x4B, 0x6C, 0xD1, 0x36, 0x10, 0x32, 0xCA, 0x9B, 0xD2, 0xAE, 0xB9, 0xD9, 0x00, 0xAA, 0x4D, 0x45, 0xD9, 0xEA, 0xD8, 0x0A, 0xC9, 0x42, 0x33, 0x74, 0xC4, 0x51, 0xA7, 0x25, 0x4D, 0x07, 0x66 }, 1 , { 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07 }, 1 , { 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01 }, 1 , { 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08 }, { 0xB1, 0x14, 0xE5, 0x02, 0xBE, 0xAA, 0x4E, 0x30, 0x1D, 0xD0, 0x8A, 0x50, 0x26, 0x41, 0x72, 0xC8, 0x4E, 0x41, 0x65, 0x0E, 0x6C, 0xB7, 0x26, 0xB4, 0x10, 0xC0, 0x69, 0x4D, 0x59, 0xEF, 0xFB, 0x64, 0x95, 0xB5, 0xCA, 0xF2, 0x8D, 0x04, 0x5B, 0x97, 0x3D, 0x63, 0xE3, 0xC9, 0x9A, 0x44, 0xB8, 0x07, 0xBD, 0xE3, 0x75, 0xFD, 0x6C, 0xB3, 0x9E, 0x46, 0xDC, 0x4A, 0x51, 0x17, 0x08, 0xD0, 0xE9, 0xD2, 0x02, 0x4D, 0x4B, 0x6C, 0xD1, 0x36, 0x10, 0x32, 0xCA, 0x9B, 0xD2, 0xAE, 0xB9, 0xD9, 0x00, 0xAA, 0x4D, 0x45, 0xD9, 0xEA, 0xD8, 0x0A, 0xC9, 0x42, 0x33, 0x74, 0xC4, 0x51, 0xA7, 0x25, 0x4D, 0x07, 0x66 }, { 0x02, 0xF7, 0xBE, 0x70, 0x89, 0xE8, 0x37, 0x6E, 0xB3, 0x55, 0x27, 0x23, 0x68, 0x76, 0x6B, 0x17, 0xE8, 0x8E, 0x7D, 0xB7, 0x20, 0x47, 0xD0, 0x5E, 0x56, 0xAA, 0x88, 0x1E, 0xA5, 0x2B, 0x3B, 0x35, 0xDF, 0x02, 0xC2, 0x9C, 0x80, 0x46, 0xFD, 0xD0, 0xDE, 0xD4, 0xC7, 0xE5, 0x58, 0x69, 0x13, 0x72, 0x00, 0xFB, 0xDB, 0xFE, 0x2E, 0xB6, 0x54, 0x26, 0x7B, 0x6D, 0x70, 0x13, 0x60, 0x2C, 0xAE, 0xD3, 0x11, 0x5A } },
+ { { 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F, 0x0F }, 0 , { 0 }, { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, 0 , { 0 }, 0 , { 0 }, 0 , { 0 }, { 0x89, 0xBD, 0xD7, 0x87, 0xD0, 0x28, 0x4E, 0x5E, 0x4D, 0x5F, 0xC5, 0x72, 0xE4, 0x9E, 0x31, 0x6B, 0xAB, 0x7E, 0x21, 0xE3, 0xB1, 0x83, 0x0D, 0xE3, 0x7D, 0xFE, 0x80, 0x15, 0x6F, 0xA4, 0x1A, 0x6D, 0x0B, 0x17, 0xAE, 0x8D, 0x02, 0x4C, 0x53, 0x67, 0x96, 0x99, 0xA6, 0xFD, 0x79, 0x44, 0xD9, 0xC4, 0xA3, 0x66, 0xB5, 0x14, 0xBA, 0xF4, 0x30, 0x88, 0xE0, 0x70, 0x8B, 0x10, 0x23, 0xDD, 0x28, 0x97, 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 }, { 0x02, 0xC9, 0x6E, 0x7C, 0xB1, 0xE8, 0xAA, 0x5D, 0xAC, 0x64, 0xD8, 0x72, 0x94, 0x79, 0x14, 0x19, 0x8F, 0x60, 0x7D, 0x90, 0xEC, 0xDE, 0x52, 0x00, 0xDE, 0x52, 0x97, 0x8A, 0xD5, 0xDE, 0xD6, 0x3C, 0x00, 0x02, 0x99, 0xEC, 0x51, 0x17, 0xC2, 0xD2, 0x9E, 0xDE, 0xE8, 0xA2, 0x09, 0x25, 0x87, 0xC3, 0x90, 0x9B, 0xE6, 0x94, 0xD5, 0xCF, 0xF0, 0x66, 0x7D, 0x6C, 0x02, 0xEA, 0x40, 0x59, 0xF7, 0xCD, 0x97, 0x86 } },
+ },
+};
+
+struct musig_nonce_agg_test_case {
+ size_t pnonce_indices[2];
+ /* if valid case */
+ unsigned char expected[66];
+ /* if error case */
+ int invalid_nonce_idx;
+};
+
+struct musig_nonce_agg_vector {
+ unsigned char pnonces[7][66];
+ struct musig_nonce_agg_test_case valid_case[2];
+ struct musig_nonce_agg_test_case error_case[3];
+};
+
+static const struct musig_nonce_agg_vector musig_nonce_agg_vector = {
+ {
+ { 0x02, 0x01, 0x51, 0xC8, 0x0F, 0x43, 0x56, 0x48, 0xDF, 0x67, 0xA2, 0x2B, 0x74, 0x9C, 0xD7, 0x98, 0xCE, 0x54, 0xE0, 0x32, 0x1D, 0x03, 0x4B, 0x92, 0xB7, 0x09, 0xB5, 0x67, 0xD6, 0x0A, 0x42, 0xE6, 0x66, 0x03, 0xBA, 0x47, 0xFB, 0xC1, 0x83, 0x44, 0x37, 0xB3, 0x21, 0x2E, 0x89, 0xA8, 0x4D, 0x84, 0x25, 0xE7, 0xBF, 0x12, 0xE0, 0x24, 0x5D, 0x98, 0x26, 0x22, 0x68, 0xEB, 0xDC, 0xB3, 0x85, 0xD5, 0x06, 0x41 },
+ { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0x48, 0xC2, 0x64, 0xCD, 0xD5, 0x7D, 0x3C, 0x24, 0xD7, 0x99, 0x90, 0xB0, 0xF8, 0x65, 0x67, 0x4E, 0xB6, 0x2A, 0x0F, 0x90, 0x18, 0x27, 0x7A, 0x95, 0x01, 0x1B, 0x41, 0xBF, 0xC1, 0x93, 0xB8, 0x33 },
+ { 0x02, 0x01, 0x51, 0xC8, 0x0F, 0x43, 0x56, 0x48, 0xDF, 0x67, 0xA2, 0x2B, 0x74, 0x9C, 0xD7, 0x98, 0xCE, 0x54, 0xE0, 0x32, 0x1D, 0x03, 0x4B, 0x92, 0xB7, 0x09, 0xB5, 0x67, 0xD6, 0x0A, 0x42, 0xE6, 0x66, 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 },
+ { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x03, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 },
+ { 0x04, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0x48, 0xC2, 0x64, 0xCD, 0xD5, 0x7D, 0x3C, 0x24, 0xD7, 0x99, 0x90, 0xB0, 0xF8, 0x65, 0x67, 0x4E, 0xB6, 0x2A, 0x0F, 0x90, 0x18, 0x27, 0x7A, 0x95, 0x01, 0x1B, 0x41, 0xBF, 0xC1, 0x93, 0xB8, 0x33 },
+ { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0x48, 0xC2, 0x64, 0xCD, 0xD5, 0x7D, 0x3C, 0x24, 0xD7, 0x99, 0x90, 0xB0, 0xF8, 0x65, 0x67, 0x4E, 0xB6, 0x2A, 0x0F, 0x90, 0x18, 0x27, 0x7A, 0x95, 0x01, 0x1B, 0x41, 0xBF, 0xC1, 0x93, 0xB8, 0x31 },
+ { 0x03, 0xFF, 0x40, 0x6F, 0xFD, 0x8A, 0xDB, 0x9C, 0xD2, 0x98, 0x77, 0xE4, 0x98, 0x50, 0x14, 0xF6, 0x6A, 0x59, 0xF6, 0xCD, 0x01, 0xC0, 0xE8, 0x8C, 0xAA, 0x8E, 0x5F, 0x31, 0x66, 0xB1, 0xF6, 0x76, 0xA6, 0x02, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 }
+ },
+ {
+ { { 0, 1 }, { 0x03, 0x5F, 0xE1, 0x87, 0x3B, 0x4F, 0x29, 0x67, 0xF5, 0x2F, 0xEA, 0x4A, 0x06, 0xAD, 0x5A, 0x8E, 0xCC, 0xBE, 0x9D, 0x0F, 0xD7, 0x30, 0x68, 0x01, 0x2C, 0x89, 0x4E, 0x2E, 0x87, 0xCC, 0xB5, 0x80, 0x4B, 0x02, 0x47, 0x25, 0x37, 0x73, 0x45, 0xBD, 0xE0, 0xE9, 0xC3, 0x3A, 0xF3, 0xC4, 0x3C, 0x0A, 0x29, 0xA9, 0x24, 0x9F, 0x2F, 0x29, 0x56, 0xFA, 0x8C, 0xFE, 0xB5, 0x5C, 0x85, 0x73, 0xD0, 0x26, 0x2D, 0xC8 }, 0 },
+ { { 2, 3 }, { 0x03, 0x5F, 0xE1, 0x87, 0x3B, 0x4F, 0x29, 0x67, 0xF5, 0x2F, 0xEA, 0x4A, 0x06, 0xAD, 0x5A, 0x8E, 0xCC, 0xBE, 0x9D, 0x0F, 0xD7, 0x30, 0x68, 0x01, 0x2C, 0x89, 0x4E, 0x2E, 0x87, 0xCC, 0xB5, 0x80, 0x4B, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, 0 },
+ },
+ {
+ { { 0, 4 }, { 0 }, 1 },
+ { { 5, 1 }, { 0 }, 0 },
+ { { 6, 1 }, { 0 }, 0 },
+ },
+};
+
+/* Omit pubnonces in the test vectors because our partial signature verification
+ * implementation is able to accept the aggnonce directly. */
+struct musig_valid_case {
+ size_t key_indices_len;
+ size_t key_indices[3];
+ size_t aggnonce_index;
+ size_t msg_index;
+ size_t signer_index;
+ unsigned char expected[32];
+};
+
+struct musig_sign_error_case {
+ size_t key_indices_len;
+ size_t key_indices[3];
+ size_t aggnonce_index;
+ size_t msg_index;
+ size_t secnonce_index;
+ enum MUSIG_ERROR error;
+};
+
+struct musig_verify_fail_error_case {
+ unsigned char sig[32];
+ size_t key_indices_len;
+ size_t key_indices[3];
+ size_t nonce_indices_len;
+ size_t nonce_indices[3];
+ size_t msg_index;
+ size_t signer_index;
+ enum MUSIG_ERROR error;
+};
+
+struct musig_sign_verify_vector {
+ unsigned char sk[32];
+ unsigned char pubkeys[4][33];
+ unsigned char secnonces[2][194];
+ unsigned char pubnonces[5][194];
+ unsigned char aggnonces[5][66];
+ unsigned char msgs[1][32];
+ struct musig_valid_case valid_case[4];
+ struct musig_sign_error_case sign_error_case[6];
+ struct musig_verify_fail_error_case verify_fail_case[3];
+ struct musig_verify_fail_error_case verify_error_case[2];
+};
+
+static const struct musig_sign_verify_vector musig_sign_verify_vector = {
+ { 0x7F, 0xB9, 0xE0, 0xE6, 0x87, 0xAD, 0xA1, 0xEE, 0xBF, 0x7E, 0xCF, 0xE2, 0xF2, 0x1E, 0x73, 0xEB, 0xDB, 0x51, 0xA7, 0xD4, 0x50, 0x94, 0x8D, 0xFE, 0x8D, 0x76, 0xD7, 0xF2, 0xD1, 0x00, 0x76, 0x71 },
+ {
+ { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 },
+ { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 },
+ { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x61 },
+ { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07 }
+ },
+ {
+ { 0x50, 0x8B, 0x81, 0xA6, 0x11, 0xF1, 0x00, 0xA6, 0xB2, 0xB6, 0xB2, 0x96, 0x56, 0x59, 0x08, 0x98, 0xAF, 0x48, 0x8B, 0xCF, 0x2E, 0x1F, 0x55, 0xCF, 0x22, 0xE5, 0xCF, 0xB8, 0x44, 0x21, 0xFE, 0x61, 0xFA, 0x27, 0xFD, 0x49, 0xB1, 0xD5, 0x00, 0x85, 0xB4, 0x81, 0x28, 0x5E, 0x1C, 0xA2, 0x05, 0xD5, 0x5C, 0x82, 0xCC, 0x1B, 0x31, 0xFF, 0x5C, 0xD5, 0x4A, 0x48, 0x98, 0x29, 0x35, 0x59, 0x01, 0xF7, 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 },
+ { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 }
+ },
+ {
+ { 0x03, 0x37, 0xC8, 0x78, 0x21, 0xAF, 0xD5, 0x0A, 0x86, 0x44, 0xD8, 0x20, 0xA8, 0xF3, 0xE0, 0x2E, 0x49, 0x9C, 0x93, 0x18, 0x65, 0xC2, 0x36, 0x0F, 0xB4, 0x3D, 0x0A, 0x0D, 0x20, 0xDA, 0xFE, 0x07, 0xEA, 0x02, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 },
+ { 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 },
+ { 0x03, 0x2D, 0xE2, 0x66, 0x26, 0x28, 0xC9, 0x0B, 0x03, 0xF5, 0xE7, 0x20, 0x28, 0x4E, 0xB5, 0x2F, 0xF7, 0xD7, 0x1F, 0x42, 0x84, 0xF6, 0x27, 0xB6, 0x8A, 0x85, 0x3D, 0x78, 0xC7, 0x8E, 0x1F, 0xFE, 0x93, 0x03, 0xE4, 0xC5, 0x52, 0x4E, 0x83, 0xFF, 0xE1, 0x49, 0x3B, 0x90, 0x77, 0xCF, 0x1C, 0xA6, 0xBE, 0xB2, 0x09, 0x0C, 0x93, 0xD9, 0x30, 0x32, 0x10, 0x71, 0xAD, 0x40, 0xB2, 0xF4, 0x4E, 0x59, 0x90, 0x46 },
+ { 0x02, 0x37, 0xC8, 0x78, 0x21, 0xAF, 0xD5, 0x0A, 0x86, 0x44, 0xD8, 0x20, 0xA8, 0xF3, 0xE0, 0x2E, 0x49, 0x9C, 0x93, 0x18, 0x65, 0xC2, 0x36, 0x0F, 0xB4, 0x3D, 0x0A, 0x0D, 0x20, 0xDA, 0xFE, 0x07, 0xEA, 0x03, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 },
+ { 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09, 0x02, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 }
+ },
+ {
+ { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x03, 0x74, 0x96, 0xA3, 0xCC, 0x86, 0x92, 0x6D, 0x45, 0x2C, 0xAF, 0xCF, 0xD5, 0x5D, 0x25, 0x97, 0x2C, 0xA1, 0x67, 0x5D, 0x54, 0x93, 0x10, 0xDE, 0x29, 0x6B, 0xFF, 0x42, 0xF7, 0x2E, 0xEE, 0xA8, 0xC9 },
+ { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
+ { 0x04, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x03, 0x74, 0x96, 0xA3, 0xCC, 0x86, 0x92, 0x6D, 0x45, 0x2C, 0xAF, 0xCF, 0xD5, 0x5D, 0x25, 0x97, 0x2C, 0xA1, 0x67, 0x5D, 0x54, 0x93, 0x10, 0xDE, 0x29, 0x6B, 0xFF, 0x42, 0xF7, 0x2E, 0xEE, 0xA8, 0xC9 },
+ { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09 },
+ { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x02, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30 }
+ },
+ {
+ { 0xF9, 0x54, 0x66, 0xD0, 0x86, 0x77, 0x0E, 0x68, 0x99, 0x64, 0x66, 0x42, 0x19, 0x26, 0x6F, 0xE5, 0xED, 0x21, 0x5C, 0x92, 0xAE, 0x20, 0xBA, 0xB5, 0xC9, 0xD7, 0x9A, 0xDD, 0xDD, 0xF3, 0xC0, 0xCF }
+ },
+ {
+ { 3, { 0, 1, 2 }, 0, 0, 0, { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }},
+ { 3, { 1, 0, 2 }, 0, 0, 1, { 0x9F, 0xF2, 0xF7, 0xAA, 0xA8, 0x56, 0x15, 0x0C, 0xC8, 0x81, 0x92, 0x54, 0x21, 0x8D, 0x3A, 0xDE, 0xEB, 0x05, 0x35, 0x26, 0x90, 0x51, 0x89, 0x77, 0x24, 0xF9, 0xDB, 0x37, 0x89, 0x51, 0x3A, 0x52 }},
+ { 3, { 1, 2, 0 }, 0, 0, 2, { 0xFA, 0x23, 0xC3, 0x59, 0xF6, 0xFA, 0xC4, 0xE7, 0x79, 0x6B, 0xB9, 0x3B, 0xC9, 0xF0, 0x53, 0x2A, 0x95, 0x46, 0x8C, 0x53, 0x9B, 0xA2, 0x0F, 0xF8, 0x6D, 0x7C, 0x76, 0xED, 0x92, 0x22, 0x79, 0x00 }},
+ { 2, { 0, 1 }, 1, 0, 0, { 0xAE, 0x38, 0x60, 0x64, 0xB2, 0x61, 0x05, 0x40, 0x47, 0x98, 0xF7, 0x5D, 0xE2, 0xEB, 0x9A, 0xF5, 0xED, 0xA5, 0x38, 0x7B, 0x06, 0x4B, 0x83, 0xD0, 0x49, 0xCB, 0x7C, 0x5E, 0x08, 0x87, 0x95, 0x31 }},
+ },
+ {
+ { 2, { 1, 2 }, 0, 0, 0, MUSIG_PUBKEY },
+ { 3, { 1, 0, 3 }, 0, 0, 0, MUSIG_PUBKEY },
+ { 3, { 1, 2, 0 }, 2, 0, 0, MUSIG_AGGNONCE },
+ { 3, { 1, 2, 0 }, 3, 0, 0, MUSIG_AGGNONCE },
+ { 3, { 1, 2, 0 }, 4, 0, 0, MUSIG_AGGNONCE },
+ { 3, { 0, 1, 2 }, 0, 0, 1, MUSIG_SECNONCE },
+ },
+ {
+ { { 0xFE, 0xD5, 0x44, 0x34, 0xAD, 0x4C, 0xFE, 0x95, 0x3F, 0xC5, 0x27, 0xDC, 0x6A, 0x5E, 0x5B, 0xE8, 0xF6, 0x23, 0x49, 0x07, 0xB7, 0xC1, 0x87, 0x55, 0x95, 0x57, 0xCE, 0x87, 0xA0, 0x54, 0x1C, 0x46 }, 3, { 0, 1, 2 }, 3, { 0, 1, 2 }, 0, 0, MUSIG_SIG_VERIFY },
+ { { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }, 3, { 0, 1, 2 }, 3, { 0, 1, 2 }, 0, 1, MUSIG_SIG_VERIFY },
+ { { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 }, 3, { 0, 1, 2 }, 3, { 0, 1, 2 }, 0, 0, MUSIG_SIG },
+ },
+ {
+ { { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }, 3, { 0, 1, 2 }, 3, { 4, 1, 2 }, 0, 0, MUSIG_PUBNONCE },
+ { { 0x01, 0x2A, 0xBB, 0xCB, 0x52, 0xB3, 0x01, 0x6A, 0xC0, 0x3A, 0xD8, 0x23, 0x95, 0xA1, 0xA4, 0x15, 0xC4, 0x8B, 0x93, 0xDE, 0xF7, 0x87, 0x18, 0xE6, 0x2A, 0x7A, 0x90, 0x05, 0x2F, 0xE2, 0x24, 0xFB }, 3, { 3, 1, 2 }, 3, { 0, 1, 2 }, 0, 0, MUSIG_PUBKEY },
+ },
+};
+
+struct musig_tweak_case {
+ size_t key_indices_len;
+ size_t key_indices[3];
+ size_t nonce_indices_len;
+ size_t nonce_indices[3];
+ size_t tweak_indices_len;
+ size_t tweak_indices[4];
+ int is_xonly[4];
+ size_t signer_index;
+ unsigned char expected[32];
+};
+
+struct musig_tweak_vector {
+ unsigned char sk[32];
+ unsigned char secnonce[97];
+ unsigned char aggnonce[66];
+ unsigned char msg[32];
+ unsigned char pubkeys[3][33];
+ unsigned char pubnonces[3][194];
+ unsigned char tweaks[5][32];
+ struct musig_tweak_case valid_case[5];
+ struct musig_tweak_case error_case[1];
+};
+
+static const struct musig_tweak_vector musig_tweak_vector = {
+ { 0x7F, 0xB9, 0xE0, 0xE6, 0x87, 0xAD, 0xA1, 0xEE, 0xBF, 0x7E, 0xCF, 0xE2, 0xF2, 0x1E, 0x73, 0xEB, 0xDB, 0x51, 0xA7, 0xD4, 0x50, 0x94, 0x8D, 0xFE, 0x8D, 0x76, 0xD7, 0xF2, 0xD1, 0x00, 0x76, 0x71 },
+ { 0x50, 0x8B, 0x81, 0xA6, 0x11, 0xF1, 0x00, 0xA6, 0xB2, 0xB6, 0xB2, 0x96, 0x56, 0x59, 0x08, 0x98, 0xAF, 0x48, 0x8B, 0xCF, 0x2E, 0x1F, 0x55, 0xCF, 0x22, 0xE5, 0xCF, 0xB8, 0x44, 0x21, 0xFE, 0x61, 0xFA, 0x27, 0xFD, 0x49, 0xB1, 0xD5, 0x00, 0x85, 0xB4, 0x81, 0x28, 0x5E, 0x1C, 0xA2, 0x05, 0xD5, 0x5C, 0x82, 0xCC, 0x1B, 0x31, 0xFF, 0x5C, 0xD5, 0x4A, 0x48, 0x98, 0x29, 0x35, 0x59, 0x01, 0xF7, 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 },
+ { 0x02, 0x84, 0x65, 0xFC, 0xF0, 0xBB, 0xDB, 0xCF, 0x44, 0x3A, 0xAB, 0xCC, 0xE5, 0x33, 0xD4, 0x2B, 0x4B, 0x5A, 0x10, 0x96, 0x6A, 0xC0, 0x9A, 0x49, 0x65, 0x5E, 0x8C, 0x42, 0xDA, 0xAB, 0x8F, 0xCD, 0x61, 0x03, 0x74, 0x96, 0xA3, 0xCC, 0x86, 0x92, 0x6D, 0x45, 0x2C, 0xAF, 0xCF, 0xD5, 0x5D, 0x25, 0x97, 0x2C, 0xA1, 0x67, 0x5D, 0x54, 0x93, 0x10, 0xDE, 0x29, 0x6B, 0xFF, 0x42, 0xF7, 0x2E, 0xEE, 0xA8, 0xC9 },
+ { 0xF9, 0x54, 0x66, 0xD0, 0x86, 0x77, 0x0E, 0x68, 0x99, 0x64, 0x66, 0x42, 0x19, 0x26, 0x6F, 0xE5, 0xED, 0x21, 0x5C, 0x92, 0xAE, 0x20, 0xBA, 0xB5, 0xC9, 0xD7, 0x9A, 0xDD, 0xDD, 0xF3, 0xC0, 0xCF },
+ {
+ { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 },
+ { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 },
+ { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 }
+ },
+ {
+ { 0x03, 0x37, 0xC8, 0x78, 0x21, 0xAF, 0xD5, 0x0A, 0x86, 0x44, 0xD8, 0x20, 0xA8, 0xF3, 0xE0, 0x2E, 0x49, 0x9C, 0x93, 0x18, 0x65, 0xC2, 0x36, 0x0F, 0xB4, 0x3D, 0x0A, 0x0D, 0x20, 0xDA, 0xFE, 0x07, 0xEA, 0x02, 0x87, 0xBF, 0x89, 0x1D, 0x2A, 0x6D, 0xEA, 0xEB, 0xAD, 0xC9, 0x09, 0x35, 0x2A, 0xA9, 0x40, 0x5D, 0x14, 0x28, 0xC1, 0x5F, 0x4B, 0x75, 0xF0, 0x4D, 0xAE, 0x64, 0x2A, 0x95, 0xC2, 0x54, 0x84, 0x80 },
+ { 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98 },
+ { 0x03, 0x2D, 0xE2, 0x66, 0x26, 0x28, 0xC9, 0x0B, 0x03, 0xF5, 0xE7, 0x20, 0x28, 0x4E, 0xB5, 0x2F, 0xF7, 0xD7, 0x1F, 0x42, 0x84, 0xF6, 0x27, 0xB6, 0x8A, 0x85, 0x3D, 0x78, 0xC7, 0x8E, 0x1F, 0xFE, 0x93, 0x03, 0xE4, 0xC5, 0x52, 0x4E, 0x83, 0xFF, 0xE1, 0x49, 0x3B, 0x90, 0x77, 0xCF, 0x1C, 0xA6, 0xBE, 0xB2, 0x09, 0x0C, 0x93, 0xD9, 0x30, 0x32, 0x10, 0x71, 0xAD, 0x40, 0xB2, 0xF4, 0x4E, 0x59, 0x90, 0x46 }
+ },
+ {
+ { 0xE8, 0xF7, 0x91, 0xFF, 0x92, 0x25, 0xA2, 0xAF, 0x01, 0x02, 0xAF, 0xFF, 0x4A, 0x9A, 0x72, 0x3D, 0x96, 0x12, 0xA6, 0x82, 0xA2, 0x5E, 0xBE, 0x79, 0x80, 0x2B, 0x26, 0x3C, 0xDF, 0xCD, 0x83, 0xBB },
+ { 0xAE, 0x2E, 0xA7, 0x97, 0xCC, 0x0F, 0xE7, 0x2A, 0xC5, 0xB9, 0x7B, 0x97, 0xF3, 0xC6, 0x95, 0x7D, 0x7E, 0x41, 0x99, 0xA1, 0x67, 0xA5, 0x8E, 0xB0, 0x8B, 0xCA, 0xFF, 0xDA, 0x70, 0xAC, 0x04, 0x55 },
+ { 0xF5, 0x2E, 0xCB, 0xC5, 0x65, 0xB3, 0xD8, 0xBE, 0xA2, 0xDF, 0xD5, 0xB7, 0x5A, 0x4F, 0x45, 0x7E, 0x54, 0x36, 0x98, 0x09, 0x32, 0x2E, 0x41, 0x20, 0x83, 0x16, 0x26, 0xF2, 0x90, 0xFA, 0x87, 0xE0 },
+ { 0x19, 0x69, 0xAD, 0x73, 0xCC, 0x17, 0x7F, 0xA0, 0xB4, 0xFC, 0xED, 0x6D, 0xF1, 0xF7, 0xBF, 0x99, 0x07, 0xE6, 0x65, 0xFD, 0xE9, 0xBA, 0x19, 0x6A, 0x74, 0xFE, 0xD0, 0xA3, 0xCF, 0x5A, 0xEF, 0x9D },
+ { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 }
+ },
+ {
+ { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 1, { 0 }, { 1 }, 2, { 0xE2, 0x8A, 0x5C, 0x66, 0xE6, 0x1E, 0x17, 0x8C, 0x2B, 0xA1, 0x9D, 0xB7, 0x7B, 0x6C, 0xF9, 0xF7, 0xE2, 0xF0, 0xF5, 0x6C, 0x17, 0x91, 0x8C, 0xD1, 0x31, 0x35, 0xE6, 0x0C, 0xC8, 0x48, 0xFE, 0x91 }},
+ { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 1, { 0 }, { 0 }, 2, { 0x38, 0xB0, 0x76, 0x77, 0x98, 0x25, 0x2F, 0x21, 0xBF, 0x57, 0x02, 0xC4, 0x80, 0x28, 0xB0, 0x95, 0x42, 0x83, 0x20, 0xF7, 0x3A, 0x4B, 0x14, 0xDB, 0x1E, 0x25, 0xDE, 0x58, 0x54, 0x3D, 0x2D, 0x2D }},
+ { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 2, { 0, 1 }, { 0, 1 }, 2, { 0x40, 0x8A, 0x0A, 0x21, 0xC4, 0xA0, 0xF5, 0xDA, 0xCA, 0xF9, 0x64, 0x6A, 0xD6, 0xEB, 0x6F, 0xEC, 0xD7, 0xF7, 0xA1, 0x1F, 0x03, 0xED, 0x1F, 0x48, 0xDF, 0xFF, 0x21, 0x85, 0xBC, 0x2C, 0x24, 0x08 }},
+ { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 4, { 0, 1, 2, 3 }, { 0, 0, 1, 1 }, 2, { 0x45, 0xAB, 0xD2, 0x06, 0xE6, 0x1E, 0x3D, 0xF2, 0xEC, 0x9E, 0x26, 0x4A, 0x6F, 0xEC, 0x82, 0x92, 0x14, 0x1A, 0x63, 0x3C, 0x28, 0x58, 0x63, 0x88, 0x23, 0x55, 0x41, 0xF9, 0xAD, 0xE7, 0x54, 0x35 }},
+ { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 4, { 0, 1, 2, 3 }, { 1, 0, 1, 0 }, 2, { 0xB2, 0x55, 0xFD, 0xCA, 0xC2, 0x7B, 0x40, 0xC7, 0xCE, 0x78, 0x48, 0xE2, 0xD3, 0xB7, 0xBF, 0x5E, 0xA0, 0xED, 0x75, 0x6D, 0xA8, 0x15, 0x65, 0xAC, 0x80, 0x4C, 0xCC, 0xA3, 0xE1, 0xD5, 0xD2, 0x39 }},
+ },
+ {
+ { 3, { 1, 2, 0 }, 3, { 1, 2, 0 }, 1, { 4 }, { 0 }, 2, { 0 }},
+ },
+};
+
+/* Omit pubnonces in the test vectors because they're only needed for
+ * implementations that do not directly accept an aggnonce. */
+struct musig_sig_agg_case {
+ size_t key_indices_len;
+ size_t key_indices[2];
+ size_t tweak_indices_len;
+ size_t tweak_indices[3];
+ int is_xonly[3];
+ unsigned char aggnonce[66];
+ size_t psig_indices_len;
+ size_t psig_indices[2];
+ /* if valid case */
+ unsigned char expected[64];
+ /* if error case */
+ int invalid_sig_idx;
+};
+
+struct musig_sig_agg_vector {
+ unsigned char pubkeys[4][33];
+ unsigned char tweaks[3][32];
+ unsigned char psigs[9][32];
+ unsigned char msg[32];
+ struct musig_sig_agg_case valid_case[4];
+ struct musig_sig_agg_case error_case[1];
+};
+
+static const struct musig_sig_agg_vector musig_sig_agg_vector = {
+ {
+ { 0x03, 0x93, 0x5F, 0x97, 0x2D, 0xA0, 0x13, 0xF8, 0x0A, 0xE0, 0x11, 0x89, 0x0F, 0xA8, 0x9B, 0x67, 0xA2, 0x7B, 0x7B, 0xE6, 0xCC, 0xB2, 0x4D, 0x32, 0x74, 0xD1, 0x8B, 0x2D, 0x40, 0x67, 0xF2, 0x61, 0xA9 },
+ { 0x02, 0xD2, 0xDC, 0x6F, 0x5D, 0xF7, 0xC5, 0x6A, 0xCF, 0x38, 0xC7, 0xFA, 0x0A, 0xE7, 0xA7, 0x59, 0xAE, 0x30, 0xE1, 0x9B, 0x37, 0x35, 0x9D, 0xFD, 0xE0, 0x15, 0x87, 0x23, 0x24, 0xC7, 0xEF, 0x6E, 0x05 },
+ { 0x03, 0xC7, 0xFB, 0x10, 0x1D, 0x97, 0xFF, 0x93, 0x0A, 0xCD, 0x0C, 0x67, 0x60, 0x85, 0x2E, 0xF6, 0x4E, 0x69, 0x08, 0x3D, 0xE0, 0xB0, 0x6A, 0xC6, 0x33, 0x57, 0x24, 0x75, 0x4B, 0xB4, 0xB0, 0x52, 0x2C },
+ { 0x02, 0x35, 0x24, 0x33, 0xB2, 0x1E, 0x7E, 0x05, 0xD3, 0xB4, 0x52, 0xB8, 0x1C, 0xAE, 0x56, 0x6E, 0x06, 0xD2, 0xE0, 0x03, 0xEC, 0xE1, 0x6D, 0x10, 0x74, 0xAA, 0xBA, 0x42, 0x89, 0xE0, 0xE3, 0xD5, 0x81 }
+ },
+ {
+ { 0xB5, 0x11, 0xDA, 0x49, 0x21, 0x82, 0xA9, 0x1B, 0x0F, 0xFB, 0x9A, 0x98, 0x02, 0x0D, 0x55, 0xF2, 0x60, 0xAE, 0x86, 0xD7, 0xEC, 0xBD, 0x03, 0x99, 0xC7, 0x38, 0x3D, 0x59, 0xA5, 0xF2, 0xAF, 0x7C },
+ { 0xA8, 0x15, 0xFE, 0x04, 0x9E, 0xE3, 0xC5, 0xAA, 0xB6, 0x63, 0x10, 0x47, 0x7F, 0xBC, 0x8B, 0xCC, 0xCA, 0xC2, 0xF3, 0x39, 0x5F, 0x59, 0xF9, 0x21, 0xC3, 0x64, 0xAC, 0xD7, 0x8A, 0x2F, 0x48, 0xDC },
+ { 0x75, 0x44, 0x8A, 0x87, 0x27, 0x4B, 0x05, 0x64, 0x68, 0xB9, 0x77, 0xBE, 0x06, 0xEB, 0x1E, 0x9F, 0x65, 0x75, 0x77, 0xB7, 0x32, 0x0B, 0x0A, 0x33, 0x76, 0xEA, 0x51, 0xFD, 0x42, 0x0D, 0x18, 0xA8 }
+ },
+ {
+ { 0xB1, 0x5D, 0x2C, 0xD3, 0xC3, 0xD2, 0x2B, 0x04, 0xDA, 0xE4, 0x38, 0xCE, 0x65, 0x3F, 0x6B, 0x4E, 0xCF, 0x04, 0x2F, 0x42, 0xCF, 0xDE, 0xD7, 0xC4, 0x1B, 0x64, 0xAA, 0xF9, 0xB4, 0xAF, 0x53, 0xFB },
+ { 0x61, 0x93, 0xD6, 0xAC, 0x61, 0xB3, 0x54, 0xE9, 0x10, 0x5B, 0xBD, 0xC8, 0x93, 0x7A, 0x34, 0x54, 0xA6, 0xD7, 0x05, 0xB6, 0xD5, 0x73, 0x22, 0xA5, 0xA4, 0x72, 0xA0, 0x2C, 0xE9, 0x9F, 0xCB, 0x64 },
+ { 0x9A, 0x87, 0xD3, 0xB7, 0x9E, 0xC6, 0x72, 0x28, 0xCB, 0x97, 0x87, 0x8B, 0x76, 0x04, 0x9B, 0x15, 0xDB, 0xD0, 0x5B, 0x81, 0x58, 0xD1, 0x7B, 0x5B, 0x91, 0x14, 0xD3, 0xC2, 0x26, 0x88, 0x75, 0x05 },
+ { 0x66, 0xF8, 0x2E, 0xA9, 0x09, 0x23, 0x68, 0x9B, 0x85, 0x5D, 0x36, 0xC6, 0xB7, 0xE0, 0x32, 0xFB, 0x99, 0x70, 0x30, 0x14, 0x81, 0xB9, 0x9E, 0x01, 0xCD, 0xB4, 0xD6, 0xAC, 0x7C, 0x34, 0x7A, 0x15 },
+ { 0x4F, 0x5A, 0xEE, 0x41, 0x51, 0x08, 0x48, 0xA6, 0x44, 0x7D, 0xCD, 0x1B, 0xBC, 0x78, 0x45, 0x7E, 0xF6, 0x90, 0x24, 0x94, 0x4C, 0x87, 0xF4, 0x02, 0x50, 0xD3, 0xEF, 0x2C, 0x25, 0xD3, 0x3E, 0xFE },
+ { 0xDD, 0xEF, 0x42, 0x7B, 0xBB, 0x84, 0x7C, 0xC0, 0x27, 0xBE, 0xFF, 0x4E, 0xDB, 0x01, 0x03, 0x81, 0x48, 0x91, 0x78, 0x32, 0x25, 0x3E, 0xBC, 0x35, 0x5F, 0xC3, 0x3F, 0x4A, 0x8E, 0x2F, 0xCC, 0xE4 },
+ { 0x97, 0xB8, 0x90, 0xA2, 0x6C, 0x98, 0x1D, 0xA8, 0x10, 0x2D, 0x3B, 0xC2, 0x94, 0x15, 0x9D, 0x17, 0x1D, 0x72, 0x81, 0x0F, 0xDF, 0x7C, 0x6A, 0x69, 0x1D, 0xEF, 0x02, 0xF0, 0xF7, 0xAF, 0x3F, 0xDC },
+ { 0x53, 0xFA, 0x9E, 0x08, 0xBA, 0x52, 0x43, 0xCB, 0xCB, 0x0D, 0x79, 0x7C, 0x5E, 0xE8, 0x3B, 0xC6, 0x72, 0x8E, 0x53, 0x9E, 0xB7, 0x6C, 0x2D, 0x0B, 0xF0, 0xF9, 0x71, 0xEE, 0x4E, 0x90, 0x99, 0x71 },
+ { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 }
+ },
+ { 0x59, 0x9C, 0x67, 0xEA, 0x41, 0x0D, 0x00, 0x5B, 0x9D, 0xA9, 0x08, 0x17, 0xCF, 0x03, 0xED, 0x3B, 0x1C, 0x86, 0x8E, 0x4D, 0xA4, 0xED, 0xF0, 0x0A, 0x58, 0x80, 0xB0, 0x08, 0x2C, 0x23, 0x78, 0x69 },
+ {
+ { 2, { 0, 1 }, 0, { 0 }, { 0 }, { 0x03, 0x41, 0x43, 0x27, 0x22, 0xC5, 0xCD, 0x02, 0x68, 0xD8, 0x29, 0xC7, 0x02, 0xCF, 0x0D, 0x1C, 0xBC, 0xE5, 0x70, 0x33, 0xEE, 0xD2, 0x01, 0xFD, 0x33, 0x51, 0x91, 0x38, 0x52, 0x27, 0xC3, 0x21, 0x0C, 0x03, 0xD3, 0x77, 0xF2, 0xD2, 0x58, 0xB6, 0x4A, 0xAD, 0xC0, 0xE1, 0x6F, 0x26, 0x46, 0x23, 0x23, 0xD7, 0x01, 0xD2, 0x86, 0x04, 0x6A, 0x2E, 0xA9, 0x33, 0x65, 0x65, 0x6A, 0xFD, 0x98, 0x75, 0x98, 0x2B }, 2, { 0, 1 }, { 0x04, 0x1D, 0xA2, 0x22, 0x23, 0xCE, 0x65, 0xC9, 0x2C, 0x9A, 0x0D, 0x6C, 0x2C, 0xAC, 0x82, 0x8A, 0xAF, 0x1E, 0xEE, 0x56, 0x30, 0x4F, 0xEC, 0x37, 0x1D, 0xDF, 0x91, 0xEB, 0xB2, 0xB9, 0xEF, 0x09, 0x12, 0xF1, 0x03, 0x80, 0x25, 0x85, 0x7F, 0xED, 0xEB, 0x3F, 0xF6, 0x96, 0xF8, 0xB9, 0x9F, 0xA4, 0xBB, 0x2C, 0x58, 0x12, 0xF6, 0x09, 0x5A, 0x2E, 0x00, 0x04, 0xEC, 0x99, 0xCE, 0x18, 0xDE, 0x1E }, 0 },
+ { 2, { 0, 2 }, 0, { 0 }, { 0 }, { 0x02, 0x24, 0xAF, 0xD3, 0x6C, 0x90, 0x20, 0x84, 0x05, 0x8B, 0x51, 0xB5, 0xD3, 0x66, 0x76, 0xBB, 0xA4, 0xDC, 0x97, 0xC7, 0x75, 0x87, 0x37, 0x68, 0xE5, 0x88, 0x22, 0xF8, 0x7F, 0xE4, 0x37, 0xD7, 0x92, 0x02, 0x8C, 0xB1, 0x59, 0x29, 0x09, 0x9E, 0xEE, 0x2F, 0x5D, 0xAE, 0x40, 0x4C, 0xD3, 0x93, 0x57, 0x59, 0x1B, 0xA3, 0x2E, 0x9A, 0xF4, 0xE1, 0x62, 0xB8, 0xD3, 0xE7, 0xCB, 0x5E, 0xFE, 0x31, 0xCB, 0x20 }, 2, { 2, 3 }, { 0x10, 0x69, 0xB6, 0x7E, 0xC3, 0xD2, 0xF3, 0xC7, 0xC0, 0x82, 0x91, 0xAC, 0xCB, 0x17, 0xA9, 0xC9, 0xB8, 0xF2, 0x81, 0x9A, 0x52, 0xEB, 0x5D, 0xF8, 0x72, 0x6E, 0x17, 0xE7, 0xD6, 0xB5, 0x2E, 0x9F, 0x01, 0x80, 0x02, 0x60, 0xA7, 0xE9, 0xDA, 0xC4, 0x50, 0xF4, 0xBE, 0x52, 0x2D, 0xE4, 0xCE, 0x12, 0xBA, 0x91, 0xAE, 0xAF, 0x2B, 0x42, 0x79, 0x21, 0x9E, 0xF7, 0x4B, 0xE1, 0xD2, 0x86, 0xAD, 0xD9 }, 0 },
+ { 2, { 0, 2 }, 1, { 0 }, { 0 }, { 0x02, 0x08, 0xC5, 0xC4, 0x38, 0xC7, 0x10, 0xF4, 0xF9, 0x6A, 0x61, 0xE9, 0xFF, 0x3C, 0x37, 0x75, 0x88, 0x14, 0xB8, 0xC3, 0xAE, 0x12, 0xBF, 0xEA, 0x0E, 0xD2, 0xC8, 0x7F, 0xF6, 0x95, 0x4F, 0xF1, 0x86, 0x02, 0x0B, 0x18, 0x16, 0xEA, 0x10, 0x4B, 0x4F, 0xCA, 0x2D, 0x30, 0x4D, 0x73, 0x3E, 0x0E, 0x19, 0xCE, 0xAD, 0x51, 0x30, 0x3F, 0xF6, 0x42, 0x0B, 0xFD, 0x22, 0x23, 0x35, 0xCA, 0xA4, 0x02, 0x91, 0x6D }, 2, { 4, 5 }, { 0x5C, 0x55, 0x8E, 0x1D, 0xCA, 0xDE, 0x86, 0xDA, 0x0B, 0x2F, 0x02, 0x62, 0x6A, 0x51, 0x2E, 0x30, 0xA2, 0x2C, 0xF5, 0x25, 0x5C, 0xAE, 0xA7, 0xEE, 0x32, 0xC3, 0x8E, 0x9A, 0x71, 0xA0, 0xE9, 0x14, 0x8B, 0xA6, 0xC0, 0xE6, 0xEC, 0x76, 0x83, 0xB6, 0x42, 0x20, 0xF0, 0x29, 0x86, 0x96, 0xF1, 0xB8, 0x78, 0xCD, 0x47, 0xB1, 0x07, 0xB8, 0x1F, 0x71, 0x88, 0x81, 0x2D, 0x59, 0x39, 0x71, 0xE0, 0xCC }, 0 },
+ { 2, { 0, 3 }, 3, { 0, 1, 2 }, { 1, 0, 1 }, { 0x02, 0xB5, 0xAD, 0x07, 0xAF, 0xCD, 0x99, 0xB6, 0xD9, 0x2C, 0xB4, 0x33, 0xFB, 0xD2, 0xA2, 0x8F, 0xDE, 0xB9, 0x8E, 0xAE, 0x2E, 0xB0, 0x9B, 0x60, 0x14, 0xEF, 0x0F, 0x81, 0x97, 0xCD, 0x58, 0x40, 0x33, 0x02, 0xE8, 0x61, 0x69, 0x10, 0xF9, 0x29, 0x3C, 0xF6, 0x92, 0xC4, 0x9F, 0x35, 0x1D, 0xB8, 0x6B, 0x25, 0xE3, 0x52, 0x90, 0x1F, 0x0E, 0x23, 0x7B, 0xAF, 0xDA, 0x11, 0xF1, 0xC1, 0xCE, 0xF2, 0x9F, 0xFD }, 2, { 6, 7 }, { 0x83, 0x9B, 0x08, 0x82, 0x0B, 0x68, 0x1D, 0xBA, 0x8D, 0xAF, 0x4C, 0xC7, 0xB1, 0x04, 0xE8, 0xF2, 0x63, 0x8F, 0x93, 0x88, 0xF8, 0xD7, 0xA5, 0x55, 0xDC, 0x17, 0xB6, 0xE6, 0x97, 0x1D, 0x74, 0x26, 0xCE, 0x07, 0xBF, 0x6A, 0xB0, 0x1F, 0x1D, 0xB5, 0x0E, 0x4E, 0x33, 0x71, 0x92, 0x95, 0xF4, 0x09, 0x45, 0x72, 0xB7, 0x98, 0x68, 0xE4, 0x40, 0xFB, 0x3D, 0xEF, 0xD3, 0xFA, 0xC1, 0xDB, 0x58, 0x9E }, 0 },
+ },
+ {
+ { 2, { 0, 3 }, 3, { 0, 1, 2 }, { 1, 0, 1 }, { 0x02, 0xB5, 0xAD, 0x07, 0xAF, 0xCD, 0x99, 0xB6, 0xD9, 0x2C, 0xB4, 0x33, 0xFB, 0xD2, 0xA2, 0x8F, 0xDE, 0xB9, 0x8E, 0xAE, 0x2E, 0xB0, 0x9B, 0x60, 0x14, 0xEF, 0x0F, 0x81, 0x97, 0xCD, 0x58, 0x40, 0x33, 0x02, 0xE8, 0x61, 0x69, 0x10, 0xF9, 0x29, 0x3C, 0xF6, 0x92, 0xC4, 0x9F, 0x35, 0x1D, 0xB8, 0x6B, 0x25, 0xE3, 0x52, 0x90, 0x1F, 0x0E, 0x23, 0x7B, 0xAF, 0xDA, 0x11, 0xF1, 0xC1, 0xCE, 0xF2, 0x9F, 0xFD }, 2, { 7, 8 }, { 0 }, 1 },
+ },
+};
+enum { MUSIG_VECTORS_MAX_PUBKEYS = 7 };
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/Makefile.am.include b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/Makefile.am.include
index bf23c26e..156ea690 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/Makefile.am.include
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/Makefile.am.include
@@ -1,8 +1,5 @@
include_HEADERS += include/secp256k1_recovery.h
noinst_HEADERS += src/modules/recovery/main_impl.h
noinst_HEADERS += src/modules/recovery/tests_impl.h
-if USE_BENCHMARK
-noinst_PROGRAMS += bench_recover
-bench_recover_SOURCES = src/bench_recover.c
-bench_recover_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB)
-endif
+noinst_HEADERS += src/modules/recovery/tests_exhaustive_impl.h
+noinst_HEADERS += src/modules/recovery/bench_impl.h
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/bench_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/bench_impl.h
new file mode 100644
index 00000000..57108d45
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/bench_impl.h
@@ -0,0 +1,62 @@
+/***********************************************************************
+ * Copyright (c) 2014-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_RECOVERY_BENCH_H
+#define SECP256K1_MODULE_RECOVERY_BENCH_H
+
+#include "../../../include/secp256k1_recovery.h"
+
+typedef struct {
+ secp256k1_context *ctx;
+ unsigned char msg[32];
+ unsigned char sig[64];
+} bench_recover_data;
+
+static void bench_recover(void* arg, int iters) {
+ int i;
+ bench_recover_data *data = (bench_recover_data*)arg;
+ secp256k1_pubkey pubkey;
+ unsigned char pubkeyc[33];
+
+ for (i = 0; i < iters; i++) {
+ int j;
+ size_t pubkeylen = 33;
+ secp256k1_ecdsa_recoverable_signature sig;
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(data->ctx, &sig, data->sig, i % 2));
+ CHECK(secp256k1_ecdsa_recover(data->ctx, &pubkey, &sig, data->msg));
+ CHECK(secp256k1_ec_pubkey_serialize(data->ctx, pubkeyc, &pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED));
+ for (j = 0; j < 32; j++) {
+ data->sig[j + 32] = data->msg[j]; /* Move former message to S. */
+ data->msg[j] = data->sig[j]; /* Move former R to message. */
+ data->sig[j] = pubkeyc[j + 1]; /* Move recovered pubkey X coordinate to R (which must be a valid X coordinate). */
+ }
+ }
+}
+
+static void bench_recover_setup(void* arg) {
+ int i;
+ bench_recover_data *data = (bench_recover_data*)arg;
+
+ for (i = 0; i < 32; i++) {
+ data->msg[i] = 1 + i;
+ }
+ for (i = 0; i < 64; i++) {
+ data->sig[i] = 65 + i;
+ }
+}
+
+static void run_recovery_bench(int iters, int argc, char** argv) {
+ bench_recover_data data;
+ int d = argc == 1;
+
+ data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+
+ if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) run_benchmark("ecdsa_recover", bench_recover, bench_recover_setup, NULL, &data, 10, iters);
+
+ secp256k1_context_destroy(data.ctx);
+}
+
+#endif /* SECP256K1_MODULE_RECOVERY_BENCH_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/main_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/main_impl.h
old mode 100755
new mode 100644
index 55562972..76a005e0
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/main_impl.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/main_impl.h
@@ -1,13 +1,13 @@
-/**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_MODULE_RECOVERY_MAIN_
-#define _SECP256K1_MODULE_RECOVERY_MAIN_
+#ifndef SECP256K1_MODULE_RECOVERY_MAIN_H
+#define SECP256K1_MODULE_RECOVERY_MAIN_H
-#include "include/secp256k1_recovery.h"
+#include "../../../include/secp256k1_recovery.h"
static void secp256k1_ecdsa_recoverable_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, int* recid, const secp256k1_ecdsa_recoverable_signature* sig) {
(void)ctx;
@@ -35,12 +35,12 @@ static void secp256k1_ecdsa_recoverable_signature_save(secp256k1_ecdsa_recoverab
sig->data[64] = recid;
}
-int ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature* sig, const unsigned char *input64, int recid) {
+int secp256k1_ecdsa_recoverable_signature_parse_compact(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature* sig, const unsigned char *input64, int recid) {
secp256k1_scalar r, s;
int ret = 1;
int overflow = 0;
- (void)ctx;
+ VERIFY_CHECK(ctx != NULL);
ARG_CHECK(sig != NULL);
ARG_CHECK(input64 != NULL);
ARG_CHECK(recid >= 0 && recid <= 3);
@@ -57,10 +57,10 @@ int ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(const secp256k1_c
return ret;
}
-int ethkit_secp256k1_ecdsa_recoverable_signature_serialize_compact(const secp256k1_context* ctx, unsigned char *output64, int *recid, const secp256k1_ecdsa_recoverable_signature* sig) {
+int secp256k1_ecdsa_recoverable_signature_serialize_compact(const secp256k1_context* ctx, unsigned char *output64, int *recid, const secp256k1_ecdsa_recoverable_signature* sig) {
secp256k1_scalar r, s;
- (void)ctx;
+ VERIFY_CHECK(ctx != NULL);
ARG_CHECK(output64 != NULL);
ARG_CHECK(sig != NULL);
ARG_CHECK(recid != NULL);
@@ -71,11 +71,11 @@ int ethkit_secp256k1_ecdsa_recoverable_signature_serialize_compact(const secp256
return 1;
}
-int ethkit_secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const secp256k1_ecdsa_recoverable_signature* sigin) {
+int secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const secp256k1_ecdsa_recoverable_signature* sigin) {
secp256k1_scalar r, s;
int recid;
- (void)ctx;
+ VERIFY_CHECK(ctx != NULL);
ARG_CHECK(sig != NULL);
ARG_CHECK(sigin != NULL);
@@ -84,7 +84,7 @@ int ethkit_secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context
return 1;
}
-static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) {
+static int secp256k1_ecdsa_sig_recover(const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) {
unsigned char brx[32];
secp256k1_fe fx;
secp256k1_ge x;
@@ -98,7 +98,7 @@ static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, cons
}
secp256k1_scalar_get_b32(brx, sigr);
- r = secp256k1_fe_set_b32(&fx, brx);
+ r = secp256k1_fe_set_b32_limit(&fx, brx);
(void)r;
VERIFY_CHECK(r); /* brx comes from a scalar, so is less than the order; certainly less than p */
if (recid & 2) {
@@ -115,73 +115,39 @@ static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, cons
secp256k1_scalar_mul(&u1, &rn, message);
secp256k1_scalar_negate(&u1, &u1);
secp256k1_scalar_mul(&u2, &rn, sigs);
- secp256k1_ecmult(ctx, &qj, &xj, &u2, &u1);
+ secp256k1_ecmult(&qj, &xj, &u2, &u1);
secp256k1_ge_set_gej_var(pubkey, &qj);
return !secp256k1_gej_is_infinity(&qj);
}
-int ethkit_secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) {
+int secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msghash32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) {
secp256k1_scalar r, s;
- secp256k1_scalar sec, non, msg;
- int recid;
- int ret = 0;
- int overflow = 0;
+ int ret, recid;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
- ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(msghash32 != NULL);
ARG_CHECK(signature != NULL);
ARG_CHECK(seckey != NULL);
- if (noncefp == NULL) {
- noncefp = ethkit_secp256k1_nonce_function_default;
- }
- secp256k1_scalar_set_b32(&sec, seckey, &overflow);
- /* Fail if the secret key is invalid. */
- if (!overflow && !secp256k1_scalar_is_zero(&sec)) {
- unsigned char nonce32[32];
- unsigned int count = 0;
- secp256k1_scalar_set_b32(&msg, msg32, NULL);
- while (1) {
- ret = noncefp(nonce32, msg32, seckey, NULL, (void*)noncedata, count);
- if (!ret) {
- break;
- }
- secp256k1_scalar_set_b32(&non, nonce32, &overflow);
- if (!secp256k1_scalar_is_zero(&non) && !overflow) {
- if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &r, &s, &sec, &msg, &non, &recid)) {
- break;
- }
- }
- count++;
- }
- memset(nonce32, 0, 32);
- secp256k1_scalar_clear(&msg);
- secp256k1_scalar_clear(&non);
- secp256k1_scalar_clear(&sec);
- }
- if (ret) {
- secp256k1_ecdsa_recoverable_signature_save(signature, &r, &s, recid);
- } else {
- memset(signature, 0, sizeof(*signature));
- }
+ ret = secp256k1_ecdsa_sign_inner(ctx, &r, &s, &recid, msghash32, seckey, noncefp, noncedata);
+ secp256k1_ecdsa_recoverable_signature_save(signature, &r, &s, recid);
return ret;
}
-int ethkit_secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msg32) {
+int secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msghash32) {
secp256k1_ge q;
secp256k1_scalar r, s;
secp256k1_scalar m;
int recid;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
- ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(msghash32 != NULL);
ARG_CHECK(signature != NULL);
ARG_CHECK(pubkey != NULL);
secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, signature);
VERIFY_CHECK(recid >= 0 && recid < 4); /* should have been caught in parse_compact */
- secp256k1_scalar_set_b32(&m, msg32, NULL);
- if (secp256k1_ecdsa_sig_recover(&ctx->ecmult_ctx, &r, &s, &q, &m, recid)) {
+ secp256k1_scalar_set_b32(&m, msghash32, NULL);
+ if (secp256k1_ecdsa_sig_recover(&r, &s, &q, &m, recid)) {
secp256k1_pubkey_save(pubkey, &q);
return 1;
} else {
@@ -190,4 +156,4 @@ int ethkit_secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubke
}
}
-#endif
+#endif /* SECP256K1_MODULE_RECOVERY_MAIN_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_exhaustive_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_exhaustive_impl.h
new file mode 100644
index 00000000..6bbc02b9
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_exhaustive_impl.h
@@ -0,0 +1,148 @@
+/***********************************************************************
+ * Copyright (c) 2016 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H
+#define SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H
+
+#include "main_impl.h"
+#include "../../../include/secp256k1_recovery.h"
+
+static void test_exhaustive_recovery_sign(const secp256k1_context *ctx, const secp256k1_ge *group) {
+ int i, j, k;
+ uint64_t iter = 0;
+
+ /* Loop */
+ for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { /* message */
+ for (j = 1; j < EXHAUSTIVE_TEST_ORDER; j++) { /* key */
+ if (skip_section(&iter)) continue;
+ for (k = 1; k < EXHAUSTIVE_TEST_ORDER; k++) { /* nonce */
+ const int starting_k = k;
+ secp256k1_fe r_dot_y_normalized;
+ secp256k1_ecdsa_recoverable_signature rsig;
+ secp256k1_ecdsa_signature sig;
+ secp256k1_scalar sk, msg, r, s, expected_r;
+ unsigned char sk32[32], msg32[32];
+ int expected_recid;
+ int recid;
+ int overflow;
+ secp256k1_scalar_set_int(&msg, i);
+ secp256k1_scalar_set_int(&sk, j);
+ secp256k1_scalar_get_b32(sk32, &sk);
+ secp256k1_scalar_get_b32(msg32, &msg);
+
+ secp256k1_ecdsa_sign_recoverable(ctx, &rsig, msg32, sk32, secp256k1_nonce_function_smallint, &k);
+
+ /* Check directly */
+ secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, &rsig);
+ r_from_k(&expected_r, group, k, &overflow);
+ CHECK(r == expected_r);
+ CHECK((k * s) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER ||
+ (k * (EXHAUSTIVE_TEST_ORDER - s)) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER);
+ /* The recid's second bit is for conveying overflow (R.x value >= group order).
+ * In the actual secp256k1 this is an astronomically unlikely event, but in the
+ * small group used here, it will almost certainly be the case for all points.
+ * Note that this isn't actually useful; full recovery would need to convey
+ * floor(R.x / group_order), but only one bit is used as that is sufficient
+ * in the real group. */
+ expected_recid = overflow ? 2 : 0;
+ r_dot_y_normalized = group[k].y;
+ secp256k1_fe_normalize(&r_dot_y_normalized);
+ /* Also the recovery id is flipped depending if we hit the low-s branch */
+ if ((k * s) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER) {
+ expected_recid |= secp256k1_fe_is_odd(&r_dot_y_normalized);
+ } else {
+ expected_recid |= !secp256k1_fe_is_odd(&r_dot_y_normalized);
+ }
+ CHECK(recid == expected_recid);
+
+ /* Convert to a standard sig then check */
+ secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig);
+ secp256k1_ecdsa_signature_load(ctx, &r, &s, &sig);
+ /* Note that we compute expected_r *after* signing -- this is important
+ * because our nonce-computing function function might change k during
+ * signing. */
+ r_from_k(&expected_r, group, k, NULL);
+ CHECK(r == expected_r);
+ CHECK((k * s) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER ||
+ (k * (EXHAUSTIVE_TEST_ORDER - s)) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER);
+
+ /* Overflow means we've tried every possible nonce */
+ if (k < starting_k) {
+ break;
+ }
+ }
+ }
+ }
+}
+
+static void test_exhaustive_recovery_verify(const secp256k1_context *ctx, const secp256k1_ge *group) {
+ /* This is essentially a copy of test_exhaustive_verify, with recovery added */
+ int s, r, msg, key;
+ uint64_t iter = 0;
+ for (s = 1; s < EXHAUSTIVE_TEST_ORDER; s++) {
+ for (r = 1; r < EXHAUSTIVE_TEST_ORDER; r++) {
+ for (msg = 1; msg < EXHAUSTIVE_TEST_ORDER; msg++) {
+ for (key = 1; key < EXHAUSTIVE_TEST_ORDER; key++) {
+ secp256k1_ge nonconst_ge;
+ secp256k1_ecdsa_recoverable_signature rsig;
+ secp256k1_ecdsa_signature sig;
+ secp256k1_pubkey pk;
+ secp256k1_scalar sk_s, msg_s, r_s, s_s;
+ secp256k1_scalar s_times_k_s, msg_plus_r_times_sk_s;
+ int recid = 0;
+ int k, should_verify;
+ unsigned char msg32[32];
+
+ if (skip_section(&iter)) continue;
+
+ secp256k1_scalar_set_int(&s_s, s);
+ secp256k1_scalar_set_int(&r_s, r);
+ secp256k1_scalar_set_int(&msg_s, msg);
+ secp256k1_scalar_set_int(&sk_s, key);
+ secp256k1_scalar_get_b32(msg32, &msg_s);
+
+ /* Verify by hand */
+ /* Run through every k value that gives us this r and check that *one* works.
+ * Note there could be none, there could be multiple, ECDSA is weird. */
+ should_verify = 0;
+ for (k = 0; k < EXHAUSTIVE_TEST_ORDER; k++) {
+ secp256k1_scalar check_x_s;
+ r_from_k(&check_x_s, group, k, NULL);
+ if (r_s == check_x_s) {
+ secp256k1_scalar_set_int(&s_times_k_s, k);
+ secp256k1_scalar_mul(&s_times_k_s, &s_times_k_s, &s_s);
+ secp256k1_scalar_mul(&msg_plus_r_times_sk_s, &r_s, &sk_s);
+ secp256k1_scalar_add(&msg_plus_r_times_sk_s, &msg_plus_r_times_sk_s, &msg_s);
+ should_verify |= secp256k1_scalar_eq(&s_times_k_s, &msg_plus_r_times_sk_s);
+ }
+ }
+ /* nb we have a "high s" rule */
+ should_verify &= !secp256k1_scalar_is_high(&s_s);
+
+ /* We would like to try recovering the pubkey and checking that it matches,
+ * but pubkey recovery is impossible in the exhaustive tests (the reason
+ * being that there are 12 nonzero r values, 12 nonzero points, and no
+ * overlap between the sets, so there are no valid signatures). */
+
+ /* Verify by converting to a standard signature and calling verify */
+ secp256k1_ecdsa_recoverable_signature_save(&rsig, &r_s, &s_s, recid);
+ secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig);
+ memcpy(&nonconst_ge, &group[sk_s], sizeof(nonconst_ge));
+ secp256k1_pubkey_save(&pk, &nonconst_ge);
+ CHECK(should_verify ==
+ secp256k1_ecdsa_verify(ctx, &sig, msg32, &pk));
+ }
+ }
+ }
+ }
+}
+
+static void test_exhaustive_recovery(const secp256k1_context *ctx, const secp256k1_ge *group) {
+ test_exhaustive_recovery_sign(ctx, group);
+ test_exhaustive_recovery_verify(ctx, group);
+}
+
+#endif /* SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_impl.h
index c1d511d4..7a28a3ce 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_impl.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_impl.h
@@ -1,11 +1,11 @@
-/**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_MODULE_RECOVERY_TESTS_
-#define _SECP256K1_MODULE_RECOVERY_TESTS_
+#ifndef SECP256K1_MODULE_RECOVERY_TESTS_H
+#define SECP256K1_MODULE_RECOVERY_TESTS_H
static int recovery_test_nonce_function(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int counter) {
(void) msg32;
@@ -25,22 +25,17 @@ static int recovery_test_nonce_function(unsigned char *nonce32, const unsigned c
}
/* On the next run, return a valid nonce, but flip a coin as to whether or not to fail signing. */
memset(nonce32, 1, 32);
- return secp256k1_rand_bits(1);
+ return testrand_bits(1);
}
-void test_ecdsa_recovery_api(void) {
+static void test_ecdsa_recovery_api(void) {
/* Setup contexts that just count errors */
- secp256k1_context *none = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_NONE);
- secp256k1_context *sign = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
- secp256k1_context *vrfy = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
- secp256k1_context *both = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
secp256k1_pubkey pubkey;
secp256k1_pubkey recpubkey;
secp256k1_ecdsa_signature normal_sig;
secp256k1_ecdsa_recoverable_signature recsig;
unsigned char privkey[32] = { 1 };
unsigned char message[32] = { 2 };
- int32_t ecount = 0;
int recid = 0;
unsigned char sig[74];
unsigned char zero_privkey[32] = { 0 };
@@ -49,105 +44,55 @@ void test_ecdsa_recovery_api(void) {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff };
- ethkit_secp256k1_context_set_error_callback(none, counting_illegal_callback_fn, &ecount);
- ethkit_secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, &ecount);
- ethkit_secp256k1_context_set_error_callback(vrfy, counting_illegal_callback_fn, &ecount);
- ethkit_secp256k1_context_set_error_callback(both, counting_illegal_callback_fn, &ecount);
- ethkit_secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount);
- ethkit_secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount);
- ethkit_secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount);
- ethkit_secp256k1_context_set_illegal_callback(both, counting_illegal_callback_fn, &ecount);
-
/* Construct and verify corresponding public key. */
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, privkey) == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1);
+ CHECK(secp256k1_ec_seckey_verify(CTX, privkey) == 1);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, privkey) == 1);
/* Check bad contexts and NULLs for signing */
- ecount = 0;
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(none, &recsig, message, privkey, NULL, NULL) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(sign, &recsig, message, privkey, NULL, NULL) == 1);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(vrfy, &recsig, message, privkey, NULL, NULL) == 0);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(both, NULL, message, privkey, NULL, NULL) == 0);
- CHECK(ecount == 3);
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(both, &recsig, NULL, privkey, NULL, NULL) == 0);
- CHECK(ecount == 4);
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(both, &recsig, message, NULL, NULL, NULL) == 0);
- CHECK(ecount == 5);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, NULL, NULL) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign_recoverable(CTX, NULL, message, privkey, NULL, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign_recoverable(CTX, &recsig, NULL, privkey, NULL, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, NULL, NULL, NULL));
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_ecdsa_sign_recoverable(STATIC_CTX, &recsig, message, privkey, NULL, NULL));
/* This will fail or succeed randomly, and in either case will not ARG_CHECK failure */
- ethkit_secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, recovery_test_nonce_function, NULL);
- CHECK(ecount == 5);
+ secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, recovery_test_nonce_function, NULL);
/* These will all fail, but not in ARG_CHECK way */
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(both, &recsig, message, zero_privkey, NULL, NULL) == 0);
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(both, &recsig, message, over_privkey, NULL, NULL) == 0);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, zero_privkey, NULL, NULL) == 0);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, over_privkey, NULL, NULL) == 0);
/* This one will succeed. */
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1);
- CHECK(ecount == 5);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, NULL, NULL) == 1);
/* Check signing with a goofy nonce function */
/* Check bad contexts and NULLs for recovery */
- ecount = 0;
- CHECK(ethkit_secp256k1_ecdsa_recover(none, &recpubkey, &recsig, message) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ecdsa_recover(sign, &recpubkey, &recsig, message) == 0);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ecdsa_recover(vrfy, &recpubkey, &recsig, message) == 1);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ecdsa_recover(both, &recpubkey, &recsig, message) == 1);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ecdsa_recover(both, NULL, &recsig, message) == 0);
- CHECK(ecount == 3);
- CHECK(ethkit_secp256k1_ecdsa_recover(both, &recpubkey, NULL, message) == 0);
- CHECK(ecount == 4);
- CHECK(ethkit_secp256k1_ecdsa_recover(both, &recpubkey, &recsig, NULL) == 0);
- CHECK(ecount == 5);
+ CHECK(secp256k1_ecdsa_recover(CTX, &recpubkey, &recsig, message) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recover(CTX, NULL, &recsig, message));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recover(CTX, &recpubkey, NULL, message));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recover(CTX, &recpubkey, &recsig, NULL));
/* Check NULLs for conversion */
- CHECK(ethkit_secp256k1_ecdsa_sign(both, &normal_sig, message, privkey, NULL, NULL) == 1);
- ecount = 0;
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_convert(both, NULL, &recsig) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_convert(both, &normal_sig, NULL) == 0);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_convert(both, &normal_sig, &recsig) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &normal_sig, message, privkey, NULL, NULL) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_convert(CTX, NULL, &recsig));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_convert(CTX, &normal_sig, NULL));
+ CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &normal_sig, &recsig) == 1);
/* Check NULLs for de/serialization */
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1);
- ecount = 0;
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_serialize_compact(both, NULL, &recid, &recsig) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, NULL, &recsig) == 0);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, &recid, NULL) == 0);
- CHECK(ecount == 3);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, &recid, &recsig) == 1);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &recsig, message, privkey, NULL, NULL) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, NULL, &recid, &recsig));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, NULL, &recsig));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, NULL));
+ CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, &recsig) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(both, NULL, sig, recid) == 0);
- CHECK(ecount == 4);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, NULL, recid) == 0);
- CHECK(ecount == 5);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, -1) == 0);
- CHECK(ecount == 6);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, 5) == 0);
- CHECK(ecount == 7);
- /* overflow in signature will fail but not affect ecount */
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, NULL, sig, recid));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, NULL, recid));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, -1));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, 5));
+ /* overflow in signature will not result in calling illegal_callback */
memcpy(sig, over_privkey, 32);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, recid) == 0);
- CHECK(ecount == 7);
-
- /* cleanup */
- ethkit_secp256k1_context_destroy(none);
- ethkit_secp256k1_context_destroy(sign);
- ethkit_secp256k1_context_destroy(vrfy);
- ethkit_secp256k1_context_destroy(both);
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &recsig, sig, recid) == 0);
}
-void test_ecdsa_recovery_end_to_end(void) {
+static void test_ecdsa_recovery_end_to_end(void) {
unsigned char extra[32] = {0x00};
unsigned char privkey[32];
unsigned char message[32];
@@ -161,52 +106,52 @@ void test_ecdsa_recovery_end_to_end(void) {
/* Generate a random key and message. */
{
secp256k1_scalar msg, key;
- random_scalar_order_test(&msg);
- random_scalar_order_test(&key);
+ testutil_random_scalar_order_test(&msg);
+ testutil_random_scalar_order_test(&key);
secp256k1_scalar_get_b32(privkey, &key);
secp256k1_scalar_get_b32(message, &msg);
}
/* Construct and verify corresponding public key. */
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, privkey) == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1);
+ CHECK(secp256k1_ec_seckey_verify(CTX, privkey) == 1);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, privkey) == 1);
/* Serialize/parse compact and verify/recover. */
extra[0] = 0;
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[0], message, privkey, NULL, NULL) == 1);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &signature[0], message, privkey, NULL, NULL) == 1);
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[4], message, privkey, NULL, NULL) == 1);
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[1], message, privkey, NULL, extra) == 1);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[0], message, privkey, NULL, NULL) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &signature[0], message, privkey, NULL, NULL) == 1);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[4], message, privkey, NULL, NULL) == 1);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[1], message, privkey, NULL, extra) == 1);
extra[31] = 1;
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[2], message, privkey, NULL, extra) == 1);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[2], message, privkey, NULL, extra) == 1);
extra[31] = 0;
extra[0] = 1;
- CHECK(ethkit_secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[3], message, privkey, NULL, extra) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &rsignature[4]) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1);
- CHECK(memcmp(&signature[4], &signature[0], 64) == 0);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_sign_recoverable(CTX, &rsignature[3], message, privkey, NULL, extra) == 1);
+ CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, &rsignature[4]) == 1);
+ CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &signature[4], &rsignature[4]) == 1);
+ CHECK(secp256k1_memcmp_var(&signature[4], &signature[0], 64) == 0);
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[4], message, &pubkey) == 1);
memset(&rsignature[4], 0, sizeof(rsignature[4]));
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsignature[4], sig, recid) == 1);
+ CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &signature[4], &rsignature[4]) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[4], message, &pubkey) == 1);
/* Parse compact (with recovery id) and recover. */
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recover(ctx, &recpubkey, &rsignature[4], message) == 1);
- CHECK(memcmp(&pubkey, &recpubkey, sizeof(pubkey)) == 0);
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsignature[4], sig, recid) == 1);
+ CHECK(secp256k1_ecdsa_recover(CTX, &recpubkey, &rsignature[4], message) == 1);
+ CHECK(secp256k1_memcmp_var(&pubkey, &recpubkey, sizeof(pubkey)) == 0);
/* Serialize/destroy/parse signature and verify again. */
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &rsignature[4]) == 1);
- sig[secp256k1_rand_bits(6)] += 1 + secp256k1_rand_int(255);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 0);
+ CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(CTX, sig, &recid, &rsignature[4]) == 1);
+ sig[testrand_bits(6)] += 1 + testrand_int(255);
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsignature[4], sig, recid) == 1);
+ CHECK(secp256k1_ecdsa_recoverable_signature_convert(CTX, &signature[4], &rsignature[4]) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[4], message, &pubkey) == 0);
/* Recover again */
- CHECK(ethkit_secp256k1_ecdsa_recover(ctx, &recpubkey, &rsignature[4], message) == 0 ||
- memcmp(&pubkey, &recpubkey, sizeof(pubkey)) != 0);
+ CHECK(secp256k1_ecdsa_recover(CTX, &recpubkey, &rsignature[4], message) == 0 ||
+ secp256k1_memcmp_var(&pubkey, &recpubkey, sizeof(pubkey)) != 0);
}
/* Tests several edge cases. */
-void test_ecdsa_recovery_edge_cases(void) {
+static void test_ecdsa_recovery_edge_cases(void) {
const unsigned char msg32[32] = {
'T', 'h', 'i', 's', ' ', 'i', 's', ' ',
'a', ' ', 'v', 'e', 'r', 'y', ' ', 's',
@@ -215,7 +160,7 @@ void test_ecdsa_recovery_edge_cases(void) {
};
const unsigned char sig64[64] = {
/* Generated by signing the above message with nonce 'This is the nonce we will use...'
- * and secret key 0 (which is not valid), resulting in recid 0. */
+ * and secret key 0 (which is not valid), resulting in recid 1. */
0x67, 0xCB, 0x28, 0x5F, 0x9C, 0xD1, 0x94, 0xE8,
0x40, 0xD6, 0x29, 0x39, 0x7A, 0xF5, 0x56, 0x96,
0x62, 0xFD, 0xE4, 0x46, 0x49, 0x99, 0x59, 0x63,
@@ -242,14 +187,14 @@ void test_ecdsa_recovery_edge_cases(void) {
secp256k1_ecdsa_signature sig;
int recid;
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 0));
- CHECK(!ethkit_secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32));
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 1));
- CHECK(ethkit_secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32));
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 2));
- CHECK(!ethkit_secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32));
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sig64, 3));
- CHECK(!ethkit_secp256k1_ecdsa_recover(ctx, &pubkey, &rsig, msg32));
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sig64, 0));
+ CHECK(!secp256k1_ecdsa_recover(CTX, &pubkey, &rsig, msg32));
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sig64, 1));
+ CHECK(secp256k1_ecdsa_recover(CTX, &pubkey, &rsig, msg32));
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sig64, 2));
+ CHECK(!secp256k1_ecdsa_recover(CTX, &pubkey, &rsig, msg32));
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sig64, 3));
+ CHECK(!secp256k1_ecdsa_recover(CTX, &pubkey, &rsig, msg32));
for (recid = 0; recid < 4; recid++) {
int i;
@@ -294,40 +239,40 @@ void test_ecdsa_recovery_edge_cases(void) {
0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E,
0x8C, 0xD0, 0x36, 0x41, 0x45, 0x02, 0x01, 0x04
};
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigb64, recid) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recover(ctx, &pubkeyb, &rsig, msg32) == 1);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 1);
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigb64, recid) == 1);
+ CHECK(secp256k1_ecdsa_recover(CTX, &pubkeyb, &rsig, msg32) == 1);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, sizeof(sigbder)) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 1);
for (recid2 = 0; recid2 < 4; recid2++) {
secp256k1_pubkey pubkey2b;
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigb64, recid2) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recover(ctx, &pubkey2b, &rsig, msg32) == 1);
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigb64, recid2) == 1);
+ CHECK(secp256k1_ecdsa_recover(CTX, &pubkey2b, &rsig, msg32) == 1);
/* Verifying with (order + r,4) should always fail. */
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderlong, sizeof(sigbderlong)) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderlong, sizeof(sigbderlong)) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0);
}
/* DER parsing tests. */
/* Zero length r/s. */
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder_zr, sizeof(sigcder_zr)) == 0);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder_zs, sizeof(sigcder_zs)) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder_zr, sizeof(sigcder_zr)) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder_zs, sizeof(sigcder_zs)) == 0);
/* Leading zeros. */
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt1, sizeof(sigbderalt1)) == 0);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt2, sizeof(sigbderalt2)) == 0);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt3, sizeof(sigbderalt3)) == 0);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt4, sizeof(sigbderalt4)) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt1, sizeof(sigbderalt1)) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt2, sizeof(sigbderalt2)) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt3, sizeof(sigbderalt3)) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt4, sizeof(sigbderalt4)) == 0);
sigbderalt3[4] = 1;
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt3, sizeof(sigbderalt3)) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt3, sizeof(sigbderalt3)) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0);
sigbderalt4[7] = 1;
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt4, sizeof(sigbderalt4)) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbderalt4, sizeof(sigbderalt4)) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0);
/* Damage signature. */
sigbder[7]++;
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, sizeof(sigbder)) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0);
sigbder[7]--;
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, 6) == 0);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder) - 1) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, 6) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, sizeof(sigbder) - 1) == 0);
for(i = 0; i < 8; i++) {
int c;
unsigned char orig = sigbder[i];
@@ -337,7 +282,7 @@ void test_ecdsa_recovery_edge_cases(void) {
continue;
}
sigbder[i] = c;
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 0 || ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigbder, sizeof(sigbder)) == 0 || secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyb) == 0);
}
sigbder[i] = orig;
}
@@ -358,36 +303,36 @@ void test_ecdsa_recovery_edge_cases(void) {
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
};
secp256k1_pubkey pubkeyc;
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigc64, 0) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recover(ctx, &pubkeyc, &rsig, msg32) == 1);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder, sizeof(sigcder)) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyc) == 1);
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigc64, 0) == 1);
+ CHECK(secp256k1_ecdsa_recover(CTX, &pubkeyc, &rsig, msg32) == 1);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder, sizeof(sigcder)) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyc) == 1);
sigcder[4] = 0;
sigc64[31] = 0;
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigc64, 0) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recover(ctx, &pubkeyb, &rsig, msg32) == 0);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder, sizeof(sigcder)) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyc) == 0);
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigc64, 0) == 1);
+ CHECK(secp256k1_ecdsa_recover(CTX, &pubkeyb, &rsig, msg32) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder, sizeof(sigcder)) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyc) == 0);
sigcder[4] = 1;
sigcder[7] = 0;
sigc64[31] = 1;
sigc64[63] = 0;
- CHECK(ethkit_secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigc64, 0) == 1);
- CHECK(ethkit_secp256k1_ecdsa_recover(ctx, &pubkeyb, &rsig, msg32) == 0);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder, sizeof(sigcder)) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyc) == 0);
+ CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(CTX, &rsig, sigc64, 0) == 1);
+ CHECK(secp256k1_ecdsa_recover(CTX, &pubkeyb, &rsig, msg32) == 0);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, sigcder, sizeof(sigcder)) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg32, &pubkeyc) == 0);
}
}
-void run_recovery_tests(void) {
+static void run_recovery_tests(void) {
int i;
- for (i = 0; i < count; i++) {
+ for (i = 0; i < COUNT; i++) {
test_ecdsa_recovery_api();
}
- for (i = 0; i < 64*count; i++) {
+ for (i = 0; i < 64*COUNT; i++) {
test_ecdsa_recovery_end_to_end();
}
test_ecdsa_recovery_edge_cases();
}
-#endif
+#endif /* SECP256K1_MODULE_RECOVERY_TESTS_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/Makefile.am.include b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/Makefile.am.include
new file mode 100644
index 00000000..654fa2e5
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/Makefile.am.include
@@ -0,0 +1,5 @@
+include_HEADERS += include/secp256k1_schnorrsig.h
+noinst_HEADERS += src/modules/schnorrsig/main_impl.h
+noinst_HEADERS += src/modules/schnorrsig/tests_impl.h
+noinst_HEADERS += src/modules/schnorrsig/tests_exhaustive_impl.h
+noinst_HEADERS += src/modules/schnorrsig/bench_impl.h
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/bench_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/bench_impl.h
new file mode 100644
index 00000000..93a878ed
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/bench_impl.h
@@ -0,0 +1,104 @@
+/***********************************************************************
+ * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_SCHNORRSIG_BENCH_H
+#define SECP256K1_MODULE_SCHNORRSIG_BENCH_H
+
+#include "../../../include/secp256k1_schnorrsig.h"
+
+#define MSGLEN 32
+
+typedef struct {
+ secp256k1_context *ctx;
+ int n;
+
+ const secp256k1_keypair **keypairs;
+ const unsigned char **pk;
+ const unsigned char **sigs;
+ const unsigned char **msgs;
+} bench_schnorrsig_data;
+
+static void bench_schnorrsig_sign(void* arg, int iters) {
+ bench_schnorrsig_data *data = (bench_schnorrsig_data *)arg;
+ int i;
+ unsigned char msg[MSGLEN] = {0};
+ unsigned char sig[64];
+
+ for (i = 0; i < iters; i++) {
+ msg[0] = i;
+ msg[1] = i >> 8;
+ CHECK(secp256k1_schnorrsig_sign_custom(data->ctx, sig, msg, MSGLEN, data->keypairs[i], NULL));
+ }
+}
+
+static void bench_schnorrsig_verify(void* arg, int iters) {
+ bench_schnorrsig_data *data = (bench_schnorrsig_data *)arg;
+ int i;
+
+ for (i = 0; i < iters; i++) {
+ secp256k1_xonly_pubkey pk;
+ CHECK(secp256k1_xonly_pubkey_parse(data->ctx, &pk, data->pk[i]) == 1);
+ CHECK(secp256k1_schnorrsig_verify(data->ctx, data->sigs[i], data->msgs[i], MSGLEN, &pk));
+ }
+}
+
+static void run_schnorrsig_bench(int iters, int argc, char** argv) {
+ int i;
+ bench_schnorrsig_data data;
+ int d = argc == 1;
+
+ data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+ data.keypairs = (const secp256k1_keypair **)malloc(iters * sizeof(secp256k1_keypair *));
+ data.pk = (const unsigned char **)malloc(iters * sizeof(unsigned char *));
+ data.msgs = (const unsigned char **)malloc(iters * sizeof(unsigned char *));
+ data.sigs = (const unsigned char **)malloc(iters * sizeof(unsigned char *));
+
+ CHECK(MSGLEN >= 4);
+ for (i = 0; i < iters; i++) {
+ unsigned char sk[32];
+ unsigned char *msg = (unsigned char *)malloc(MSGLEN);
+ unsigned char *sig = (unsigned char *)malloc(64);
+ secp256k1_keypair *keypair = (secp256k1_keypair *)malloc(sizeof(*keypair));
+ unsigned char *pk_char = (unsigned char *)malloc(32);
+ secp256k1_xonly_pubkey pk;
+ msg[0] = sk[0] = i;
+ msg[1] = sk[1] = i >> 8;
+ msg[2] = sk[2] = i >> 16;
+ msg[3] = sk[3] = i >> 24;
+ memset(&msg[4], 'm', MSGLEN - 4);
+ memset(&sk[4], 's', 28);
+
+ data.keypairs[i] = keypair;
+ data.pk[i] = pk_char;
+ data.msgs[i] = msg;
+ data.sigs[i] = sig;
+
+ CHECK(secp256k1_keypair_create(data.ctx, keypair, sk));
+ CHECK(secp256k1_schnorrsig_sign_custom(data.ctx, sig, msg, MSGLEN, keypair, NULL));
+ CHECK(secp256k1_keypair_xonly_pub(data.ctx, &pk, NULL, keypair));
+ CHECK(secp256k1_xonly_pubkey_serialize(data.ctx, pk_char, &pk) == 1);
+ }
+
+ if (d || have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "sign") || have_flag(argc, argv, "schnorrsig_sign")) run_benchmark("schnorrsig_sign", bench_schnorrsig_sign, NULL, NULL, (void *) &data, 10, iters);
+ if (d || have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "verify") || have_flag(argc, argv, "schnorrsig_verify")) run_benchmark("schnorrsig_verify", bench_schnorrsig_verify, NULL, NULL, (void *) &data, 10, iters);
+
+ for (i = 0; i < iters; i++) {
+ free((void *)data.keypairs[i]);
+ free((void *)data.pk[i]);
+ free((void *)data.msgs[i]);
+ free((void *)data.sigs[i]);
+ }
+
+ /* Casting to (void *) avoids a stupid warning in MSVC. */
+ free((void *)data.keypairs);
+ free((void *)data.pk);
+ free((void *)data.msgs);
+ free((void *)data.sigs);
+
+ secp256k1_context_destroy(data.ctx);
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/main_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/main_impl.h
new file mode 100644
index 00000000..2ed7be67
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/main_impl.h
@@ -0,0 +1,271 @@
+/***********************************************************************
+ * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_SCHNORRSIG_MAIN_H
+#define SECP256K1_MODULE_SCHNORRSIG_MAIN_H
+
+#include "../../../include/secp256k1.h"
+#include "../../../include/secp256k1_schnorrsig.h"
+#include "../../hash.h"
+
+/* Initializes SHA256 with fixed midstate. This midstate was computed by applying
+ * SHA256 to SHA256("BIP0340/nonce")||SHA256("BIP0340/nonce"). */
+static void secp256k1_nonce_function_bip340_sha256_tagged(secp256k1_sha256 *sha) {
+ secp256k1_sha256_initialize(sha);
+ sha->s[0] = 0x46615b35ul;
+ sha->s[1] = 0xf4bfbff7ul;
+ sha->s[2] = 0x9f8dc671ul;
+ sha->s[3] = 0x83627ab3ul;
+ sha->s[4] = 0x60217180ul;
+ sha->s[5] = 0x57358661ul;
+ sha->s[6] = 0x21a29e54ul;
+ sha->s[7] = 0x68b07b4cul;
+
+ sha->bytes = 64;
+}
+
+/* Initializes SHA256 with fixed midstate. This midstate was computed by applying
+ * SHA256 to SHA256("BIP0340/aux")||SHA256("BIP0340/aux"). */
+static void secp256k1_nonce_function_bip340_sha256_tagged_aux(secp256k1_sha256 *sha) {
+ secp256k1_sha256_initialize(sha);
+ sha->s[0] = 0x24dd3219ul;
+ sha->s[1] = 0x4eba7e70ul;
+ sha->s[2] = 0xca0fabb9ul;
+ sha->s[3] = 0x0fa3166dul;
+ sha->s[4] = 0x3afbe4b1ul;
+ sha->s[5] = 0x4c44df97ul;
+ sha->s[6] = 0x4aac2739ul;
+ sha->s[7] = 0x249e850aul;
+
+ sha->bytes = 64;
+}
+
+/* algo argument for nonce_function_bip340 to derive the nonce exactly as stated in BIP-340
+ * by using the correct tagged hash function. */
+static const unsigned char bip340_algo[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'n', 'o', 'n', 'c', 'e'};
+
+static const unsigned char schnorrsig_extraparams_magic[4] = SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC;
+
+static int nonce_function_bip340(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) {
+ secp256k1_sha256 sha;
+ unsigned char masked_key[32];
+ int i;
+
+ if (algo == NULL) {
+ return 0;
+ }
+
+ if (data != NULL) {
+ secp256k1_nonce_function_bip340_sha256_tagged_aux(&sha);
+ secp256k1_sha256_write(&sha, data, 32);
+ secp256k1_sha256_finalize(&sha, masked_key);
+ for (i = 0; i < 32; i++) {
+ masked_key[i] ^= key32[i];
+ }
+ } else {
+ /* Precomputed TaggedHash("BIP0340/aux", 0x0000...00); */
+ static const unsigned char ZERO_MASK[32] = {
+ 84, 241, 105, 207, 201, 226, 229, 114,
+ 116, 128, 68, 31, 144, 186, 37, 196,
+ 136, 244, 97, 199, 11, 94, 165, 220,
+ 170, 247, 175, 105, 39, 10, 165, 20
+ };
+ for (i = 0; i < 32; i++) {
+ masked_key[i] = key32[i] ^ ZERO_MASK[i];
+ }
+ }
+
+ /* Tag the hash with algo which is important to avoid nonce reuse across
+ * algorithms. If this nonce function is used in BIP-340 signing as defined
+ * in the spec, an optimized tagging implementation is used. */
+ if (algolen == sizeof(bip340_algo)
+ && secp256k1_memcmp_var(algo, bip340_algo, algolen) == 0) {
+ secp256k1_nonce_function_bip340_sha256_tagged(&sha);
+ } else {
+ secp256k1_sha256_initialize_tagged(&sha, algo, algolen);
+ }
+
+ /* Hash masked-key||pk||msg using the tagged hash as per the spec */
+ secp256k1_sha256_write(&sha, masked_key, 32);
+ secp256k1_sha256_write(&sha, xonly_pk32, 32);
+ secp256k1_sha256_write(&sha, msg, msglen);
+ secp256k1_sha256_finalize(&sha, nonce32);
+ secp256k1_sha256_clear(&sha);
+ secp256k1_memclear(masked_key, sizeof(masked_key));
+
+ return 1;
+}
+
+const secp256k1_nonce_function_hardened secp256k1_nonce_function_bip340 = nonce_function_bip340;
+
+/* Initializes SHA256 with fixed midstate. This midstate was computed by applying
+ * SHA256 to SHA256("BIP0340/challenge")||SHA256("BIP0340/challenge"). */
+static void secp256k1_schnorrsig_sha256_tagged(secp256k1_sha256 *sha) {
+ secp256k1_sha256_initialize(sha);
+ sha->s[0] = 0x9cecba11ul;
+ sha->s[1] = 0x23925381ul;
+ sha->s[2] = 0x11679112ul;
+ sha->s[3] = 0xd1627e0ful;
+ sha->s[4] = 0x97c87550ul;
+ sha->s[5] = 0x003cc765ul;
+ sha->s[6] = 0x90f61164ul;
+ sha->s[7] = 0x33e9b66aul;
+ sha->bytes = 64;
+}
+
+static void secp256k1_schnorrsig_challenge(secp256k1_scalar* e, const unsigned char *r32, const unsigned char *msg, size_t msglen, const unsigned char *pubkey32)
+{
+ unsigned char buf[32];
+ secp256k1_sha256 sha;
+
+ /* tagged hash(r.x, pk.x, msg) */
+ secp256k1_schnorrsig_sha256_tagged(&sha);
+ secp256k1_sha256_write(&sha, r32, 32);
+ secp256k1_sha256_write(&sha, pubkey32, 32);
+ secp256k1_sha256_write(&sha, msg, msglen);
+ secp256k1_sha256_finalize(&sha, buf);
+ /* Set scalar e to the challenge hash modulo the curve order as per
+ * BIP340. */
+ secp256k1_scalar_set_b32(e, buf, NULL);
+}
+
+static int secp256k1_schnorrsig_sign_internal(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_keypair *keypair, secp256k1_nonce_function_hardened noncefp, void *ndata) {
+ secp256k1_scalar sk;
+ secp256k1_scalar e;
+ secp256k1_scalar k;
+ secp256k1_gej rj;
+ secp256k1_ge pk;
+ secp256k1_ge r;
+ unsigned char buf[32] = { 0 };
+ unsigned char pk_buf[32];
+ unsigned char seckey[32];
+ int ret = 1;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+ ARG_CHECK(sig64 != NULL);
+ ARG_CHECK(msg != NULL || msglen == 0);
+ ARG_CHECK(keypair != NULL);
+
+ if (noncefp == NULL) {
+ noncefp = secp256k1_nonce_function_bip340;
+ }
+
+ ret &= secp256k1_keypair_load(ctx, &sk, &pk, keypair);
+ /* Because we are signing for a x-only pubkey, the secret key is negated
+ * before signing if the point corresponding to the secret key does not
+ * have an even Y. */
+ if (secp256k1_fe_is_odd(&pk.y)) {
+ secp256k1_scalar_negate(&sk, &sk);
+ }
+
+ secp256k1_scalar_get_b32(seckey, &sk);
+ secp256k1_fe_get_b32(pk_buf, &pk.x);
+ ret &= !!noncefp(buf, msg, msglen, seckey, pk_buf, bip340_algo, sizeof(bip340_algo), ndata);
+ secp256k1_scalar_set_b32(&k, buf, NULL);
+ ret &= !secp256k1_scalar_is_zero(&k);
+ secp256k1_scalar_cmov(&k, &secp256k1_scalar_one, !ret);
+
+ secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &rj, &k);
+ secp256k1_ge_set_gej(&r, &rj);
+
+ /* We declassify r to allow using it as a branch point. This is fine
+ * because r is not a secret. */
+ secp256k1_declassify(ctx, &r, sizeof(r));
+ secp256k1_fe_normalize_var(&r.y);
+ if (secp256k1_fe_is_odd(&r.y)) {
+ secp256k1_scalar_negate(&k, &k);
+ }
+ secp256k1_fe_normalize_var(&r.x);
+ secp256k1_fe_get_b32(&sig64[0], &r.x);
+
+ secp256k1_schnorrsig_challenge(&e, &sig64[0], msg, msglen, pk_buf);
+ secp256k1_scalar_mul(&e, &e, &sk);
+ secp256k1_scalar_add(&e, &e, &k);
+ secp256k1_scalar_get_b32(&sig64[32], &e);
+
+ secp256k1_memczero(sig64, 64, !ret);
+ secp256k1_scalar_clear(&k);
+ secp256k1_scalar_clear(&sk);
+ secp256k1_memclear(seckey, sizeof(seckey));
+ secp256k1_gej_clear(&rj);
+
+ return ret;
+}
+
+int secp256k1_schnorrsig_sign32(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const secp256k1_keypair *keypair, const unsigned char *aux_rand32) {
+ /* We cast away const from the passed aux_rand32 argument since we know the default nonce function does not modify it. */
+ return secp256k1_schnorrsig_sign_internal(ctx, sig64, msg32, 32, keypair, secp256k1_nonce_function_bip340, (unsigned char*)aux_rand32);
+}
+
+int secp256k1_schnorrsig_sign(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const secp256k1_keypair *keypair, const unsigned char *aux_rand32) {
+ return secp256k1_schnorrsig_sign32(ctx, sig64, msg32, keypair, aux_rand32);
+}
+
+int secp256k1_schnorrsig_sign_custom(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_keypair *keypair, secp256k1_schnorrsig_extraparams *extraparams) {
+ secp256k1_nonce_function_hardened noncefp = NULL;
+ void *ndata = NULL;
+ VERIFY_CHECK(ctx != NULL);
+
+ if (extraparams != NULL) {
+ ARG_CHECK(secp256k1_memcmp_var(extraparams->magic,
+ schnorrsig_extraparams_magic,
+ sizeof(extraparams->magic)) == 0);
+ noncefp = extraparams->noncefp;
+ ndata = extraparams->ndata;
+ }
+ return secp256k1_schnorrsig_sign_internal(ctx, sig64, msg, msglen, keypair, noncefp, ndata);
+}
+
+int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_xonly_pubkey *pubkey) {
+ secp256k1_scalar s;
+ secp256k1_scalar e;
+ secp256k1_gej rj;
+ secp256k1_ge pk;
+ secp256k1_gej pkj;
+ secp256k1_fe rx;
+ secp256k1_ge r;
+ unsigned char buf[32];
+ int overflow;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(sig64 != NULL);
+ ARG_CHECK(msg != NULL || msglen == 0);
+ ARG_CHECK(pubkey != NULL);
+
+ if (!secp256k1_fe_set_b32_limit(&rx, &sig64[0])) {
+ return 0;
+ }
+
+ secp256k1_scalar_set_b32(&s, &sig64[32], &overflow);
+ if (overflow) {
+ return 0;
+ }
+
+ if (!secp256k1_xonly_pubkey_load(ctx, &pk, pubkey)) {
+ return 0;
+ }
+
+ /* Compute e. */
+ secp256k1_fe_get_b32(buf, &pk.x);
+ secp256k1_schnorrsig_challenge(&e, &sig64[0], msg, msglen, buf);
+
+ /* Compute rj = s*G + (-e)*pkj */
+ secp256k1_scalar_negate(&e, &e);
+ secp256k1_gej_set_ge(&pkj, &pk);
+ secp256k1_ecmult(&rj, &pkj, &e, &s);
+
+ secp256k1_ge_set_gej_var(&r, &rj);
+ if (secp256k1_ge_is_infinity(&r)) {
+ return 0;
+ }
+
+ secp256k1_fe_normalize_var(&r.y);
+ return !secp256k1_fe_is_odd(&r.y) &&
+ secp256k1_fe_equal(&rx, &r.x);
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h
new file mode 100644
index 00000000..601b5497
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h
@@ -0,0 +1,214 @@
+/***********************************************************************
+ * Copyright (c) 2020 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_SCHNORRSIG_TESTS_EXHAUSTIVE_H
+#define SECP256K1_MODULE_SCHNORRSIG_TESTS_EXHAUSTIVE_H
+
+#include "../../../include/secp256k1_schnorrsig.h"
+#include "main_impl.h"
+
+static const unsigned char invalid_pubkey_bytes[][32] = {
+ /* 0 */
+ {
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
+ },
+ /* 2 */
+ {
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2
+ },
+ /* order */
+ {
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ ((EXHAUSTIVE_TEST_ORDER + 0UL) >> 24) & 0xFF,
+ ((EXHAUSTIVE_TEST_ORDER + 0UL) >> 16) & 0xFF,
+ ((EXHAUSTIVE_TEST_ORDER + 0UL) >> 8) & 0xFF,
+ (EXHAUSTIVE_TEST_ORDER + 0UL) & 0xFF
+ },
+ /* order + 1 */
+ {
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ ((EXHAUSTIVE_TEST_ORDER + 1UL) >> 24) & 0xFF,
+ ((EXHAUSTIVE_TEST_ORDER + 1UL) >> 16) & 0xFF,
+ ((EXHAUSTIVE_TEST_ORDER + 1UL) >> 8) & 0xFF,
+ (EXHAUSTIVE_TEST_ORDER + 1UL) & 0xFF
+ },
+ /* field size */
+ {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F
+ },
+ /* field size + 1 (note that 1 is legal) */
+ {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30
+ },
+ /* 2^256 - 1 */
+ {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+ }
+};
+
+#define NUM_INVALID_KEYS (sizeof(invalid_pubkey_bytes) / sizeof(invalid_pubkey_bytes[0]))
+
+static int secp256k1_hardened_nonce_function_smallint(unsigned char *nonce32, const unsigned char *msg,
+ size_t msglen,
+ const unsigned char *key32, const unsigned char *xonly_pk32,
+ const unsigned char *algo, size_t algolen,
+ void* data) {
+ secp256k1_scalar s;
+ int *idata = data;
+ (void)msg;
+ (void)msglen;
+ (void)key32;
+ (void)xonly_pk32;
+ (void)algo;
+ (void)algolen;
+ secp256k1_scalar_set_int(&s, *idata);
+ secp256k1_scalar_get_b32(nonce32, &s);
+ return 1;
+}
+
+static void test_exhaustive_schnorrsig_verify(const secp256k1_context *ctx, const secp256k1_xonly_pubkey* pubkeys, unsigned char (*xonly_pubkey_bytes)[32], const int* parities) {
+ int d;
+ uint64_t iter = 0;
+ /* Iterate over the possible public keys to verify against (through their corresponding DL d). */
+ for (d = 1; d <= EXHAUSTIVE_TEST_ORDER / 2; ++d) {
+ int actual_d;
+ unsigned k;
+ unsigned char pk32[32];
+ memcpy(pk32, xonly_pubkey_bytes[d - 1], 32);
+ actual_d = parities[d - 1] ? EXHAUSTIVE_TEST_ORDER - d : d;
+ /* Iterate over the possible valid first 32 bytes in the signature, through their corresponding DL k.
+ Values above EXHAUSTIVE_TEST_ORDER/2 refer to the entries in invalid_pubkey_bytes. */
+ for (k = 1; k <= EXHAUSTIVE_TEST_ORDER / 2 + NUM_INVALID_KEYS; ++k) {
+ unsigned char sig64[64];
+ int actual_k = -1;
+ int e_done[EXHAUSTIVE_TEST_ORDER] = {0};
+ int e_count_done = 0;
+ if (skip_section(&iter)) continue;
+ if (k <= EXHAUSTIVE_TEST_ORDER / 2) {
+ memcpy(sig64, xonly_pubkey_bytes[k - 1], 32);
+ actual_k = parities[k - 1] ? EXHAUSTIVE_TEST_ORDER - k : k;
+ } else {
+ memcpy(sig64, invalid_pubkey_bytes[k - 1 - EXHAUSTIVE_TEST_ORDER / 2], 32);
+ }
+ /* Randomly generate messages until all challenges have been hit. */
+ while (e_count_done < EXHAUSTIVE_TEST_ORDER) {
+ secp256k1_scalar e;
+ unsigned char msg32[32];
+ testrand256(msg32);
+ secp256k1_schnorrsig_challenge(&e, sig64, msg32, sizeof(msg32), pk32);
+ /* Only do work if we hit a challenge we haven't tried before. */
+ if (!e_done[e]) {
+ /* Iterate over the possible valid last 32 bytes in the signature.
+ 0..order=that s value; order+1=random bytes */
+ int count_valid = 0;
+ unsigned int s;
+ for (s = 0; s <= EXHAUSTIVE_TEST_ORDER + 1; ++s) {
+ int expect_valid, valid;
+ if (s <= EXHAUSTIVE_TEST_ORDER) {
+ memset(sig64 + 32, 0, 32);
+ secp256k1_write_be32(sig64 + 60, s);
+ expect_valid = actual_k != -1 && s != EXHAUSTIVE_TEST_ORDER &&
+ (s == (actual_k + actual_d * e) % EXHAUSTIVE_TEST_ORDER);
+ } else {
+ testrand256(sig64 + 32);
+ expect_valid = 0;
+ }
+ valid = secp256k1_schnorrsig_verify(ctx, sig64, msg32, sizeof(msg32), &pubkeys[d - 1]);
+ CHECK(valid == expect_valid);
+ count_valid += valid;
+ }
+ /* Exactly one s value must verify, unless R is illegal. */
+ CHECK(count_valid == (actual_k != -1));
+ /* Don't retry other messages that result in the same challenge. */
+ e_done[e] = 1;
+ ++e_count_done;
+ }
+ }
+ }
+ }
+}
+
+static void test_exhaustive_schnorrsig_sign(const secp256k1_context *ctx, unsigned char (*xonly_pubkey_bytes)[32], const secp256k1_keypair* keypairs, const int* parities) {
+ int d, k;
+ uint64_t iter = 0;
+ secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT;
+
+ /* Loop over keys. */
+ for (d = 1; d < EXHAUSTIVE_TEST_ORDER; ++d) {
+ int actual_d = d;
+ if (parities[d - 1]) actual_d = EXHAUSTIVE_TEST_ORDER - d;
+ /* Loop over nonces. */
+ for (k = 1; k < EXHAUSTIVE_TEST_ORDER; ++k) {
+ int e_done[EXHAUSTIVE_TEST_ORDER] = {0};
+ int e_count_done = 0;
+ unsigned char msg32[32];
+ unsigned char sig64[64];
+ int actual_k = k;
+ if (skip_section(&iter)) continue;
+ extraparams.noncefp = secp256k1_hardened_nonce_function_smallint;
+ extraparams.ndata = &k;
+ if (parities[k - 1]) actual_k = EXHAUSTIVE_TEST_ORDER - k;
+ /* Generate random messages until all challenges have been tried. */
+ while (e_count_done < EXHAUSTIVE_TEST_ORDER) {
+ secp256k1_scalar e;
+ testrand256(msg32);
+ secp256k1_schnorrsig_challenge(&e, xonly_pubkey_bytes[k - 1], msg32, sizeof(msg32), xonly_pubkey_bytes[d - 1]);
+ /* Only do work if we hit a challenge we haven't tried before. */
+ if (!e_done[e]) {
+ secp256k1_scalar expected_s = (actual_k + e * actual_d) % EXHAUSTIVE_TEST_ORDER;
+ unsigned char expected_s_bytes[32];
+ secp256k1_scalar_get_b32(expected_s_bytes, &expected_s);
+ /* Invoke the real function to construct a signature. */
+ CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig64, msg32, sizeof(msg32), &keypairs[d - 1], &extraparams));
+ /* The first 32 bytes must match the xonly pubkey for the specified k. */
+ CHECK(secp256k1_memcmp_var(sig64, xonly_pubkey_bytes[k - 1], 32) == 0);
+ /* The last 32 bytes must match the expected s value. */
+ CHECK(secp256k1_memcmp_var(sig64 + 32, expected_s_bytes, 32) == 0);
+ /* Don't retry other messages that result in the same challenge. */
+ e_done[e] = 1;
+ ++e_count_done;
+ }
+ }
+ }
+ }
+}
+
+static void test_exhaustive_schnorrsig(const secp256k1_context *ctx) {
+ secp256k1_keypair keypair[EXHAUSTIVE_TEST_ORDER - 1];
+ secp256k1_xonly_pubkey xonly_pubkey[EXHAUSTIVE_TEST_ORDER - 1];
+ int parity[EXHAUSTIVE_TEST_ORDER - 1];
+ unsigned char xonly_pubkey_bytes[EXHAUSTIVE_TEST_ORDER - 1][32];
+ unsigned i;
+
+ /* Verify that all invalid_pubkey_bytes are actually invalid. */
+ for (i = 0; i < NUM_INVALID_KEYS; ++i) {
+ secp256k1_xonly_pubkey pk;
+ CHECK(!secp256k1_xonly_pubkey_parse(ctx, &pk, invalid_pubkey_bytes[i]));
+ }
+
+ /* Construct keypairs and xonly-pubkeys for the entire group. */
+ for (i = 1; i < EXHAUSTIVE_TEST_ORDER; ++i) {
+ secp256k1_scalar scalar_i;
+ unsigned char buf[32];
+ secp256k1_scalar_set_int(&scalar_i, i);
+ secp256k1_scalar_get_b32(buf, &scalar_i);
+ CHECK(secp256k1_keypair_create(ctx, &keypair[i - 1], buf));
+ CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pubkey[i - 1], &parity[i - 1], &keypair[i - 1]));
+ CHECK(secp256k1_xonly_pubkey_serialize(ctx, xonly_pubkey_bytes[i - 1], &xonly_pubkey[i - 1]));
+ }
+
+ test_exhaustive_schnorrsig_sign(ctx, xonly_pubkey_bytes, keypair, parity);
+ test_exhaustive_schnorrsig_verify(ctx, xonly_pubkey, xonly_pubkey_bytes, parity);
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/tests_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/tests_impl.h
new file mode 100644
index 00000000..2d716a01
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/modules/schnorrsig/tests_impl.h
@@ -0,0 +1,982 @@
+/***********************************************************************
+ * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_MODULE_SCHNORRSIG_TESTS_H
+#define SECP256K1_MODULE_SCHNORRSIG_TESTS_H
+
+#include "../../../include/secp256k1_schnorrsig.h"
+
+/* Checks that a bit flip in the n_flip-th argument (that has n_bytes many
+ * bytes) changes the hash function
+ */
+static void nonce_function_bip340_bitflip(unsigned char **args, size_t n_flip, size_t n_bytes, size_t msglen, size_t algolen) {
+ unsigned char nonces[2][32];
+ CHECK(nonce_function_bip340(nonces[0], args[0], msglen, args[1], args[2], args[3], algolen, args[4]) == 1);
+ testrand_flip(args[n_flip], n_bytes);
+ CHECK(nonce_function_bip340(nonces[1], args[0], msglen, args[1], args[2], args[3], algolen, args[4]) == 1);
+ CHECK(secp256k1_memcmp_var(nonces[0], nonces[1], 32) != 0);
+}
+
+static void run_nonce_function_bip340_tests(void) {
+ unsigned char tag[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'n', 'o', 'n', 'c', 'e'};
+ unsigned char aux_tag[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'a', 'u', 'x'};
+ unsigned char algo[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'n', 'o', 'n', 'c', 'e'};
+ size_t algolen = sizeof(algo);
+ secp256k1_sha256 sha;
+ secp256k1_sha256 sha_optimized;
+ unsigned char nonce[32], nonce_z[32];
+ unsigned char msg[32];
+ size_t msglen = sizeof(msg);
+ unsigned char key[32];
+ unsigned char pk[32];
+ unsigned char aux_rand[32];
+ unsigned char *args[5];
+ int i;
+
+ /* Check that hash initialized by
+ * secp256k1_nonce_function_bip340_sha256_tagged has the expected
+ * state. */
+ secp256k1_sha256_initialize_tagged(&sha, tag, sizeof(tag));
+ secp256k1_nonce_function_bip340_sha256_tagged(&sha_optimized);
+ test_sha256_eq(&sha, &sha_optimized);
+
+ /* Check that hash initialized by
+ * secp256k1_nonce_function_bip340_sha256_tagged_aux has the expected
+ * state. */
+ secp256k1_sha256_initialize_tagged(&sha, aux_tag, sizeof(aux_tag));
+ secp256k1_nonce_function_bip340_sha256_tagged_aux(&sha_optimized);
+ test_sha256_eq(&sha, &sha_optimized);
+
+ testrand256(msg);
+ testrand256(key);
+ testrand256(pk);
+ testrand256(aux_rand);
+
+ /* Check that a bitflip in an argument results in different nonces. */
+ args[0] = msg;
+ args[1] = key;
+ args[2] = pk;
+ args[3] = algo;
+ args[4] = aux_rand;
+ for (i = 0; i < COUNT; i++) {
+ nonce_function_bip340_bitflip(args, 0, 32, msglen, algolen);
+ nonce_function_bip340_bitflip(args, 1, 32, msglen, algolen);
+ nonce_function_bip340_bitflip(args, 2, 32, msglen, algolen);
+ /* Flip algo special case "BIP0340/nonce" */
+ nonce_function_bip340_bitflip(args, 3, algolen, msglen, algolen);
+ /* Flip algo again */
+ nonce_function_bip340_bitflip(args, 3, algolen, msglen, algolen);
+ nonce_function_bip340_bitflip(args, 4, 32, msglen, algolen);
+ }
+
+ /* NULL algo is disallowed */
+ CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, NULL, 0, NULL) == 0);
+ CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1);
+ /* Other algo is fine */
+ testrand_bytes_test(algo, algolen);
+ CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1);
+
+ for (i = 0; i < COUNT; i++) {
+ unsigned char nonce2[32];
+ uint32_t offset = testrand_int(msglen - 1);
+ size_t msglen_tmp = (msglen + offset) % msglen;
+ size_t algolen_tmp;
+
+ /* Different msglen gives different nonce */
+ CHECK(nonce_function_bip340(nonce2, msg, msglen_tmp, key, pk, algo, algolen, NULL) == 1);
+ CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0);
+
+ /* Different algolen gives different nonce */
+ offset = testrand_int(algolen - 1);
+ algolen_tmp = (algolen + offset) % algolen;
+ CHECK(nonce_function_bip340(nonce2, msg, msglen, key, pk, algo, algolen_tmp, NULL) == 1);
+ CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0);
+ }
+
+ /* NULL aux_rand argument is allowed, and identical to passing all zero aux_rand. */
+ memset(aux_rand, 0, 32);
+ CHECK(nonce_function_bip340(nonce_z, msg, msglen, key, pk, algo, algolen, &aux_rand) == 1);
+ CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1);
+ CHECK(secp256k1_memcmp_var(nonce_z, nonce, 32) == 0);
+}
+
+static void test_schnorrsig_api(void) {
+ unsigned char sk1[32];
+ unsigned char sk2[32];
+ unsigned char sk3[32];
+ unsigned char msg[32];
+ secp256k1_keypair keypairs[3];
+ secp256k1_keypair invalid_keypair = {{ 0 }};
+ secp256k1_xonly_pubkey pk[3];
+ secp256k1_xonly_pubkey zero_pk;
+ unsigned char sig[64];
+ secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT;
+ secp256k1_schnorrsig_extraparams invalid_extraparams = {{ 0 }, NULL, NULL};
+
+ testrand256(sk1);
+ testrand256(sk2);
+ testrand256(sk3);
+ testrand256(msg);
+ CHECK(secp256k1_keypair_create(CTX, &keypairs[0], sk1) == 1);
+ CHECK(secp256k1_keypair_create(CTX, &keypairs[1], sk2) == 1);
+ CHECK(secp256k1_keypair_create(CTX, &keypairs[2], sk3) == 1);
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &pk[0], NULL, &keypairs[0]) == 1);
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &pk[1], NULL, &keypairs[1]) == 1);
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &pk[2], NULL, &keypairs[2]) == 1);
+ memset(&zero_pk, 0, sizeof(zero_pk));
+
+ /** main test body **/
+ CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypairs[0], NULL) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, NULL, msg, &keypairs[0], NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, sig, NULL, &keypairs[0], NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, sig, msg, NULL, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign32(CTX, sig, msg, &invalid_keypair, NULL));
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_schnorrsig_sign32(STATIC_CTX, sig, msg, &keypairs[0], NULL));
+
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, NULL, msg, sizeof(msg), &keypairs[0], &extraparams));
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, NULL, sizeof(msg), &keypairs[0], &extraparams));
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, NULL, 0, &keypairs[0], &extraparams) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), NULL, &extraparams));
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &invalid_keypair, &extraparams));
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], NULL) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypairs[0], &invalid_extraparams));
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_schnorrsig_sign_custom(STATIC_CTX, sig, msg, sizeof(msg), &keypairs[0], &extraparams));
+
+ CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypairs[0], NULL) == 1);
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &pk[0]) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, NULL, msg, sizeof(msg), &pk[0]));
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, sig, NULL, sizeof(msg), &pk[0]));
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig, NULL, 0, &pk[0]) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &zero_pk));
+}
+
+/* Checks that hash initialized by secp256k1_schnorrsig_sha256_tagged has the
+ * expected state. */
+static void test_schnorrsig_sha256_tagged(void) {
+ unsigned char tag[] = {'B', 'I', 'P', '0', '3', '4', '0', '/', 'c', 'h', 'a', 'l', 'l', 'e', 'n', 'g', 'e'};
+ secp256k1_sha256 sha;
+ secp256k1_sha256 sha_optimized;
+
+ secp256k1_sha256_initialize_tagged(&sha, (unsigned char *) tag, sizeof(tag));
+ secp256k1_schnorrsig_sha256_tagged(&sha_optimized);
+ test_sha256_eq(&sha, &sha_optimized);
+}
+
+/* Helper function for schnorrsig_bip_vectors
+ * Signs the message and checks that it's the same as expected_sig. */
+static void test_schnorrsig_bip_vectors_check_signing(const unsigned char *sk, const unsigned char *pk_serialized, const unsigned char *aux_rand, const unsigned char *msg, size_t msglen, const unsigned char *expected_sig) {
+ unsigned char sig[64];
+ secp256k1_keypair keypair;
+ secp256k1_xonly_pubkey pk, pk_expected;
+
+ secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT;
+ extraparams.ndata = (unsigned char*)aux_rand;
+
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk));
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, msglen, &keypair, &extraparams));
+ CHECK(secp256k1_memcmp_var(sig, expected_sig, 64) == 0);
+ if (msglen == 32) {
+ memset(sig, 0, 64);
+ CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypair, aux_rand));
+ CHECK(secp256k1_memcmp_var(sig, expected_sig, 64) == 0);
+ }
+
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk_expected, pk_serialized));
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &pk, NULL, &keypair));
+ CHECK(secp256k1_memcmp_var(&pk, &pk_expected, sizeof(pk)) == 0);
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, msglen, &pk));
+}
+
+/* Helper function for schnorrsig_bip_vectors
+ * Checks that both verify and verify_batch (TODO) return the same value as expected. */
+static void test_schnorrsig_bip_vectors_check_verify(const unsigned char *pk_serialized, const unsigned char *msg, size_t msglen, const unsigned char *sig, int expected) {
+ secp256k1_xonly_pubkey pk;
+
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &pk, pk_serialized));
+ CHECK(expected == secp256k1_schnorrsig_verify(CTX, sig, msg, msglen, &pk));
+}
+
+/* Test vectors according to BIP-340 ("Schnorr Signatures for secp256k1"). See
+ * https://github.com/bitcoin/bips/blob/master/bip-0340/test-vectors.csv. */
+static void test_schnorrsig_bip_vectors(void) {
+ {
+ /* Test vector 0 */
+ const unsigned char sk[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03
+ };
+ const unsigned char pk[32] = {
+ 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10,
+ 0x49, 0x34, 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29,
+ 0xB5, 0x31, 0xC8, 0x45, 0x83, 0x6F, 0x99, 0xB0,
+ 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9
+ };
+ const unsigned char aux_rand[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+ };
+ const unsigned char msg[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
+ };
+ const unsigned char sig[64] = {
+ 0xE9, 0x07, 0x83, 0x1F, 0x80, 0x84, 0x8D, 0x10,
+ 0x69, 0xA5, 0x37, 0x1B, 0x40, 0x24, 0x10, 0x36,
+ 0x4B, 0xDF, 0x1C, 0x5F, 0x83, 0x07, 0xB0, 0x08,
+ 0x4C, 0x55, 0xF1, 0xCE, 0x2D, 0xCA, 0x82, 0x15,
+ 0x25, 0xF6, 0x6A, 0x4A, 0x85, 0xEA, 0x8B, 0x71,
+ 0xE4, 0x82, 0xA7, 0x4F, 0x38, 0x2D, 0x2C, 0xE5,
+ 0xEB, 0xEE, 0xE8, 0xFD, 0xB2, 0x17, 0x2F, 0x47,
+ 0x7D, 0xF4, 0x90, 0x0D, 0x31, 0x05, 0x36, 0xC0
+ };
+ test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig);
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1);
+ }
+ {
+ /* Test vector 1 */
+ const unsigned char sk[32] = {
+ 0xB7, 0xE1, 0x51, 0x62, 0x8A, 0xED, 0x2A, 0x6A,
+ 0xBF, 0x71, 0x58, 0x80, 0x9C, 0xF4, 0xF3, 0xC7,
+ 0x62, 0xE7, 0x16, 0x0F, 0x38, 0xB4, 0xDA, 0x56,
+ 0xA7, 0x84, 0xD9, 0x04, 0x51, 0x90, 0xCF, 0xEF
+ };
+ const unsigned char pk[32] = {
+ 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F,
+ 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE,
+ 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8,
+ 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59
+ };
+ const unsigned char aux_rand[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01
+ };
+ const unsigned char msg[32] = {
+ 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3,
+ 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44,
+ 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0,
+ 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89
+ };
+ const unsigned char sig[64] = {
+ 0x68, 0x96, 0xBD, 0x60, 0xEE, 0xAE, 0x29, 0x6D,
+ 0xB4, 0x8A, 0x22, 0x9F, 0xF7, 0x1D, 0xFE, 0x07,
+ 0x1B, 0xDE, 0x41, 0x3E, 0x6D, 0x43, 0xF9, 0x17,
+ 0xDC, 0x8D, 0xCF, 0x8C, 0x78, 0xDE, 0x33, 0x41,
+ 0x89, 0x06, 0xD1, 0x1A, 0xC9, 0x76, 0xAB, 0xCC,
+ 0xB2, 0x0B, 0x09, 0x12, 0x92, 0xBF, 0xF4, 0xEA,
+ 0x89, 0x7E, 0xFC, 0xB6, 0x39, 0xEA, 0x87, 0x1C,
+ 0xFA, 0x95, 0xF6, 0xDE, 0x33, 0x9E, 0x4B, 0x0A
+ };
+ test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig);
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1);
+ }
+ {
+ /* Test vector 2 */
+ const unsigned char sk[32] = {
+ 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
+ 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
+ 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x14, 0xE5, 0xC9
+ };
+ const unsigned char pk[32] = {
+ 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13,
+ 0x12, 0x1F, 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC,
+ 0x01, 0x39, 0x71, 0x53, 0x09, 0xB0, 0x86, 0xC9,
+ 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xB8
+ };
+ const unsigned char aux_rand[32] = {
+ 0xC8, 0x7A, 0xA5, 0x38, 0x24, 0xB4, 0xD7, 0xAE,
+ 0x2E, 0xB0, 0x35, 0xA2, 0xB5, 0xBB, 0xBC, 0xCC,
+ 0x08, 0x0E, 0x76, 0xCD, 0xC6, 0xD1, 0x69, 0x2C,
+ 0x4B, 0x0B, 0x62, 0xD7, 0x98, 0xE6, 0xD9, 0x06
+ };
+ const unsigned char msg[32] = {
+ 0x7E, 0x2D, 0x58, 0xD8, 0xB3, 0xBC, 0xDF, 0x1A,
+ 0xBA, 0xDE, 0xC7, 0x82, 0x90, 0x54, 0xF9, 0x0D,
+ 0xDA, 0x98, 0x05, 0xAA, 0xB5, 0x6C, 0x77, 0x33,
+ 0x30, 0x24, 0xB9, 0xD0, 0xA5, 0x08, 0xB7, 0x5C
+ };
+ const unsigned char sig[64] = {
+ 0x58, 0x31, 0xAA, 0xEE, 0xD7, 0xB4, 0x4B, 0xB7,
+ 0x4E, 0x5E, 0xAB, 0x94, 0xBA, 0x9D, 0x42, 0x94,
+ 0xC4, 0x9B, 0xCF, 0x2A, 0x60, 0x72, 0x8D, 0x8B,
+ 0x4C, 0x20, 0x0F, 0x50, 0xDD, 0x31, 0x3C, 0x1B,
+ 0xAB, 0x74, 0x58, 0x79, 0xA5, 0xAD, 0x95, 0x4A,
+ 0x72, 0xC4, 0x5A, 0x91, 0xC3, 0xA5, 0x1D, 0x3C,
+ 0x7A, 0xDE, 0xA9, 0x8D, 0x82, 0xF8, 0x48, 0x1E,
+ 0x0E, 0x1E, 0x03, 0x67, 0x4A, 0x6F, 0x3F, 0xB7
+ };
+ test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig);
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1);
+ }
+ {
+ /* Test vector 3 */
+ const unsigned char sk[32] = {
+ 0x0B, 0x43, 0x2B, 0x26, 0x77, 0x93, 0x73, 0x81,
+ 0xAE, 0xF0, 0x5B, 0xB0, 0x2A, 0x66, 0xEC, 0xD0,
+ 0x12, 0x77, 0x30, 0x62, 0xCF, 0x3F, 0xA2, 0x54,
+ 0x9E, 0x44, 0xF5, 0x8E, 0xD2, 0x40, 0x17, 0x10
+ };
+ const unsigned char pk[32] = {
+ 0x25, 0xD1, 0xDF, 0xF9, 0x51, 0x05, 0xF5, 0x25,
+ 0x3C, 0x40, 0x22, 0xF6, 0x28, 0xA9, 0x96, 0xAD,
+ 0x3A, 0x0D, 0x95, 0xFB, 0xF2, 0x1D, 0x46, 0x8A,
+ 0x1B, 0x33, 0xF8, 0xC1, 0x60, 0xD8, 0xF5, 0x17
+ };
+ const unsigned char aux_rand[32] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+ };
+ const unsigned char msg[32] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+ };
+ const unsigned char sig[64] = {
+ 0x7E, 0xB0, 0x50, 0x97, 0x57, 0xE2, 0x46, 0xF1,
+ 0x94, 0x49, 0x88, 0x56, 0x51, 0x61, 0x1C, 0xB9,
+ 0x65, 0xEC, 0xC1, 0xA1, 0x87, 0xDD, 0x51, 0xB6,
+ 0x4F, 0xDA, 0x1E, 0xDC, 0x96, 0x37, 0xD5, 0xEC,
+ 0x97, 0x58, 0x2B, 0x9C, 0xB1, 0x3D, 0xB3, 0x93,
+ 0x37, 0x05, 0xB3, 0x2B, 0xA9, 0x82, 0xAF, 0x5A,
+ 0xF2, 0x5F, 0xD7, 0x88, 0x81, 0xEB, 0xB3, 0x27,
+ 0x71, 0xFC, 0x59, 0x22, 0xEF, 0xC6, 0x6E, 0xA3
+ };
+ test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig);
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1);
+ }
+ {
+ /* Test vector 4 */
+ const unsigned char pk[32] = {
+ 0xD6, 0x9C, 0x35, 0x09, 0xBB, 0x99, 0xE4, 0x12,
+ 0xE6, 0x8B, 0x0F, 0xE8, 0x54, 0x4E, 0x72, 0x83,
+ 0x7D, 0xFA, 0x30, 0x74, 0x6D, 0x8B, 0xE2, 0xAA,
+ 0x65, 0x97, 0x5F, 0x29, 0xD2, 0x2D, 0xC7, 0xB9
+ };
+ const unsigned char msg[32] = {
+ 0x4D, 0xF3, 0xC3, 0xF6, 0x8F, 0xCC, 0x83, 0xB2,
+ 0x7E, 0x9D, 0x42, 0xC9, 0x04, 0x31, 0xA7, 0x24,
+ 0x99, 0xF1, 0x78, 0x75, 0xC8, 0x1A, 0x59, 0x9B,
+ 0x56, 0x6C, 0x98, 0x89, 0xB9, 0x69, 0x67, 0x03
+ };
+ const unsigned char sig[64] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x3B, 0x78, 0xCE, 0x56, 0x3F,
+ 0x89, 0xA0, 0xED, 0x94, 0x14, 0xF5, 0xAA, 0x28,
+ 0xAD, 0x0D, 0x96, 0xD6, 0x79, 0x5F, 0x9C, 0x63,
+ 0x76, 0xAF, 0xB1, 0x54, 0x8A, 0xF6, 0x03, 0xB3,
+ 0xEB, 0x45, 0xC9, 0xF8, 0x20, 0x7D, 0xEE, 0x10,
+ 0x60, 0xCB, 0x71, 0xC0, 0x4E, 0x80, 0xF5, 0x93,
+ 0x06, 0x0B, 0x07, 0xD2, 0x83, 0x08, 0xD7, 0xF4
+ };
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1);
+ }
+ {
+ /* Test vector 5 */
+ const unsigned char pk[32] = {
+ 0xEE, 0xFD, 0xEA, 0x4C, 0xDB, 0x67, 0x77, 0x50,
+ 0xA4, 0x20, 0xFE, 0xE8, 0x07, 0xEA, 0xCF, 0x21,
+ 0xEB, 0x98, 0x98, 0xAE, 0x79, 0xB9, 0x76, 0x87,
+ 0x66, 0xE4, 0xFA, 0xA0, 0x4A, 0x2D, 0x4A, 0x34
+ };
+ secp256k1_xonly_pubkey pk_parsed;
+ /* No need to check the signature of the test vector as parsing the pubkey already fails */
+ CHECK(!secp256k1_xonly_pubkey_parse(CTX, &pk_parsed, pk));
+ }
+ {
+ /* Test vector 6 */
+ const unsigned char pk[32] = {
+ 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F,
+ 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE,
+ 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8,
+ 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59
+ };
+ const unsigned char msg[32] = {
+ 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3,
+ 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44,
+ 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0,
+ 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89
+ };
+ const unsigned char sig[64] = {
+ 0xFF, 0xF9, 0x7B, 0xD5, 0x75, 0x5E, 0xEE, 0xA4,
+ 0x20, 0x45, 0x3A, 0x14, 0x35, 0x52, 0x35, 0xD3,
+ 0x82, 0xF6, 0x47, 0x2F, 0x85, 0x68, 0xA1, 0x8B,
+ 0x2F, 0x05, 0x7A, 0x14, 0x60, 0x29, 0x75, 0x56,
+ 0x3C, 0xC2, 0x79, 0x44, 0x64, 0x0A, 0xC6, 0x07,
+ 0xCD, 0x10, 0x7A, 0xE1, 0x09, 0x23, 0xD9, 0xEF,
+ 0x7A, 0x73, 0xC6, 0x43, 0xE1, 0x66, 0xBE, 0x5E,
+ 0xBE, 0xAF, 0xA3, 0x4B, 0x1A, 0xC5, 0x53, 0xE2
+ };
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0);
+ }
+ {
+ /* Test vector 7 */
+ const unsigned char pk[32] = {
+ 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F,
+ 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE,
+ 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8,
+ 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59
+ };
+ const unsigned char msg[32] = {
+ 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3,
+ 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44,
+ 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0,
+ 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89
+ };
+ const unsigned char sig[64] = {
+ 0x1F, 0xA6, 0x2E, 0x33, 0x1E, 0xDB, 0xC2, 0x1C,
+ 0x39, 0x47, 0x92, 0xD2, 0xAB, 0x11, 0x00, 0xA7,
+ 0xB4, 0x32, 0xB0, 0x13, 0xDF, 0x3F, 0x6F, 0xF4,
+ 0xF9, 0x9F, 0xCB, 0x33, 0xE0, 0xE1, 0x51, 0x5F,
+ 0x28, 0x89, 0x0B, 0x3E, 0xDB, 0x6E, 0x71, 0x89,
+ 0xB6, 0x30, 0x44, 0x8B, 0x51, 0x5C, 0xE4, 0xF8,
+ 0x62, 0x2A, 0x95, 0x4C, 0xFE, 0x54, 0x57, 0x35,
+ 0xAA, 0xEA, 0x51, 0x34, 0xFC, 0xCD, 0xB2, 0xBD
+ };
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0);
+ }
+ {
+ /* Test vector 8 */
+ const unsigned char pk[32] = {
+ 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F,
+ 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE,
+ 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8,
+ 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59
+ };
+ const unsigned char msg[32] = {
+ 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3,
+ 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44,
+ 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0,
+ 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89
+ };
+ const unsigned char sig[64] = {
+ 0x6C, 0xFF, 0x5C, 0x3B, 0xA8, 0x6C, 0x69, 0xEA,
+ 0x4B, 0x73, 0x76, 0xF3, 0x1A, 0x9B, 0xCB, 0x4F,
+ 0x74, 0xC1, 0x97, 0x60, 0x89, 0xB2, 0xD9, 0x96,
+ 0x3D, 0xA2, 0xE5, 0x54, 0x3E, 0x17, 0x77, 0x69,
+ 0x96, 0x17, 0x64, 0xB3, 0xAA, 0x9B, 0x2F, 0xFC,
+ 0xB6, 0xEF, 0x94, 0x7B, 0x68, 0x87, 0xA2, 0x26,
+ 0xE8, 0xD7, 0xC9, 0x3E, 0x00, 0xC5, 0xED, 0x0C,
+ 0x18, 0x34, 0xFF, 0x0D, 0x0C, 0x2E, 0x6D, 0xA6
+ };
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0);
+ }
+ {
+ /* Test vector 9 */
+ const unsigned char pk[32] = {
+ 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F,
+ 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE,
+ 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8,
+ 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59
+ };
+ const unsigned char msg[32] = {
+ 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3,
+ 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44,
+ 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0,
+ 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89
+ };
+ const unsigned char sig[64] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x12, 0x3D, 0xDA, 0x83, 0x28, 0xAF, 0x9C, 0x23,
+ 0xA9, 0x4C, 0x1F, 0xEE, 0xCF, 0xD1, 0x23, 0xBA,
+ 0x4F, 0xB7, 0x34, 0x76, 0xF0, 0xD5, 0x94, 0xDC,
+ 0xB6, 0x5C, 0x64, 0x25, 0xBD, 0x18, 0x60, 0x51
+ };
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0);
+ }
+ {
+ /* Test vector 10 */
+ const unsigned char pk[32] = {
+ 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F,
+ 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE,
+ 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8,
+ 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59
+ };
+ const unsigned char msg[32] = {
+ 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3,
+ 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44,
+ 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0,
+ 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89
+ };
+ const unsigned char sig[64] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
+ 0x76, 0x15, 0xFB, 0xAF, 0x5A, 0xE2, 0x88, 0x64,
+ 0x01, 0x3C, 0x09, 0x97, 0x42, 0xDE, 0xAD, 0xB4,
+ 0xDB, 0xA8, 0x7F, 0x11, 0xAC, 0x67, 0x54, 0xF9,
+ 0x37, 0x80, 0xD5, 0xA1, 0x83, 0x7C, 0xF1, 0x97
+ };
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0);
+ }
+ {
+ /* Test vector 11 */
+ const unsigned char pk[32] = {
+ 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F,
+ 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE,
+ 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8,
+ 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59
+ };
+ const unsigned char msg[32] = {
+ 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3,
+ 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44,
+ 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0,
+ 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89
+ };
+ const unsigned char sig[64] = {
+ 0x4A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A,
+ 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB,
+ 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7,
+ 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D,
+ 0x69, 0xE8, 0x9B, 0x4C, 0x55, 0x64, 0xD0, 0x03,
+ 0x49, 0x10, 0x6B, 0x84, 0x97, 0x78, 0x5D, 0xD7,
+ 0xD1, 0xD7, 0x13, 0xA8, 0xAE, 0x82, 0xB3, 0x2F,
+ 0xA7, 0x9D, 0x5F, 0x7F, 0xC4, 0x07, 0xD3, 0x9B
+ };
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0);
+ }
+ {
+ /* Test vector 12 */
+ const unsigned char pk[32] = {
+ 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F,
+ 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE,
+ 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8,
+ 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59
+ };
+ const unsigned char msg[32] = {
+ 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3,
+ 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44,
+ 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0,
+ 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89
+ };
+ const unsigned char sig[64] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F,
+ 0x69, 0xE8, 0x9B, 0x4C, 0x55, 0x64, 0xD0, 0x03,
+ 0x49, 0x10, 0x6B, 0x84, 0x97, 0x78, 0x5D, 0xD7,
+ 0xD1, 0xD7, 0x13, 0xA8, 0xAE, 0x82, 0xB3, 0x2F,
+ 0xA7, 0x9D, 0x5F, 0x7F, 0xC4, 0x07, 0xD3, 0x9B
+ };
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0);
+ }
+ {
+ /* Test vector 13 */
+ const unsigned char pk[32] = {
+ 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F,
+ 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE,
+ 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8,
+ 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59
+ };
+ const unsigned char msg[32] = {
+ 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3,
+ 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44,
+ 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0,
+ 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89
+ };
+ const unsigned char sig[64] = {
+ 0x6C, 0xFF, 0x5C, 0x3B, 0xA8, 0x6C, 0x69, 0xEA,
+ 0x4B, 0x73, 0x76, 0xF3, 0x1A, 0x9B, 0xCB, 0x4F,
+ 0x74, 0xC1, 0x97, 0x60, 0x89, 0xB2, 0xD9, 0x96,
+ 0x3D, 0xA2, 0xE5, 0x54, 0x3E, 0x17, 0x77, 0x69,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE,
+ 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B,
+ 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41
+ };
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 0);
+ }
+ {
+ /* Test vector 14 */
+ const unsigned char pk[32] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30
+ };
+ secp256k1_xonly_pubkey pk_parsed;
+ /* No need to check the signature of the test vector as parsing the pubkey already fails */
+ CHECK(!secp256k1_xonly_pubkey_parse(CTX, &pk_parsed, pk));
+ }
+ {
+ /* Test vector 15 */
+ const unsigned char sk[32] = {
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ };
+ const unsigned char pk[32] = {
+ 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4,
+ 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22,
+ 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23,
+ 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17,
+ };
+ const unsigned char aux_rand[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ };
+ /* const unsigned char msg[0] = {}; */
+ const unsigned char sig[64] = {
+ 0x71, 0x53, 0x5D, 0xB1, 0x65, 0xEC, 0xD9, 0xFB,
+ 0xBC, 0x04, 0x6E, 0x5F, 0xFA, 0xEA, 0x61, 0x18,
+ 0x6B, 0xB6, 0xAD, 0x43, 0x67, 0x32, 0xFC, 0xCC,
+ 0x25, 0x29, 0x1A, 0x55, 0x89, 0x54, 0x64, 0xCF,
+ 0x60, 0x69, 0xCE, 0x26, 0xBF, 0x03, 0x46, 0x62,
+ 0x28, 0xF1, 0x9A, 0x3A, 0x62, 0xDB, 0x8A, 0x64,
+ 0x9F, 0x2D, 0x56, 0x0F, 0xAC, 0x65, 0x28, 0x27,
+ 0xD1, 0xAF, 0x05, 0x74, 0xE4, 0x27, 0xAB, 0x63,
+ };
+ test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, NULL, 0, sig);
+ test_schnorrsig_bip_vectors_check_verify(pk, NULL, 0, sig, 1);
+ }
+ {
+ /* Test vector 16 */
+ const unsigned char sk[32] = {
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ };
+ const unsigned char pk[32] = {
+ 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4,
+ 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22,
+ 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23,
+ 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17,
+ };
+ const unsigned char aux_rand[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ };
+ const unsigned char msg[] = { 0x11 };
+ const unsigned char sig[64] = {
+ 0x08, 0xA2, 0x0A, 0x0A, 0xFE, 0xF6, 0x41, 0x24,
+ 0x64, 0x92, 0x32, 0xE0, 0x69, 0x3C, 0x58, 0x3A,
+ 0xB1, 0xB9, 0x93, 0x4A, 0xE6, 0x3B, 0x4C, 0x35,
+ 0x11, 0xF3, 0xAE, 0x11, 0x34, 0xC6, 0xA3, 0x03,
+ 0xEA, 0x31, 0x73, 0xBF, 0xEA, 0x66, 0x83, 0xBD,
+ 0x10, 0x1F, 0xA5, 0xAA, 0x5D, 0xBC, 0x19, 0x96,
+ 0xFE, 0x7C, 0xAC, 0xFC, 0x5A, 0x57, 0x7D, 0x33,
+ 0xEC, 0x14, 0x56, 0x4C, 0xEC, 0x2B, 0xAC, 0xBF,
+ };
+ test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig);
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1);
+ }
+ {
+ /* Test vector 17 */
+ const unsigned char sk[32] = {
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ };
+ const unsigned char pk[32] = {
+ 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4,
+ 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22,
+ 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23,
+ 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17,
+ };
+ const unsigned char aux_rand[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ };
+ const unsigned char msg[] = {
+ 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08,
+ 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10,
+ 0x11,
+ };
+ const unsigned char sig[64] = {
+ 0x51, 0x30, 0xF3, 0x9A, 0x40, 0x59, 0xB4, 0x3B,
+ 0xC7, 0xCA, 0xC0, 0x9A, 0x19, 0xEC, 0xE5, 0x2B,
+ 0x5D, 0x86, 0x99, 0xD1, 0xA7, 0x1E, 0x3C, 0x52,
+ 0xDA, 0x9A, 0xFD, 0xB6, 0xB5, 0x0A, 0xC3, 0x70,
+ 0xC4, 0xA4, 0x82, 0xB7, 0x7B, 0xF9, 0x60, 0xF8,
+ 0x68, 0x15, 0x40, 0xE2, 0x5B, 0x67, 0x71, 0xEC,
+ 0xE1, 0xE5, 0xA3, 0x7F, 0xD8, 0x0E, 0x5A, 0x51,
+ 0x89, 0x7C, 0x55, 0x66, 0xA9, 0x7E, 0xA5, 0xA5,
+ };
+ test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig);
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1);
+ }
+ {
+ /* Test vector 18 */
+ const unsigned char sk[32] = {
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ 0x03, 0x40, 0x03, 0x40, 0x03, 0x40, 0x03, 0x40,
+ };
+ const unsigned char pk[32] = {
+ 0x77, 0x8C, 0xAA, 0x53, 0xB4, 0x39, 0x3A, 0xC4,
+ 0x67, 0x77, 0x4D, 0x09, 0x49, 0x7A, 0x87, 0x22,
+ 0x4B, 0xF9, 0xFA, 0xB6, 0xF6, 0xE6, 0x8B, 0x23,
+ 0x08, 0x64, 0x97, 0x32, 0x4D, 0x6F, 0xD1, 0x17,
+ };
+ const unsigned char aux_rand[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ };
+ const unsigned char sig[64] = {
+ 0x40, 0x3B, 0x12, 0xB0, 0xD8, 0x55, 0x5A, 0x34,
+ 0x41, 0x75, 0xEA, 0x7E, 0xC7, 0x46, 0x56, 0x63,
+ 0x03, 0x32, 0x1E, 0x5D, 0xBF, 0xA8, 0xBE, 0x6F,
+ 0x09, 0x16, 0x35, 0x16, 0x3E, 0xCA, 0x79, 0xA8,
+ 0x58, 0x5E, 0xD3, 0xE3, 0x17, 0x08, 0x07, 0xE7,
+ 0xC0, 0x3B, 0x72, 0x0F, 0xC5, 0x4C, 0x7B, 0x23,
+ 0x89, 0x7F, 0xCB, 0xA0, 0xE9, 0xD0, 0xB4, 0xA0,
+ 0x68, 0x94, 0xCF, 0xD2, 0x49, 0xF2, 0x23, 0x67,
+ };
+ unsigned char msg[100];
+ memset(msg, 0x99, sizeof(msg));
+ test_schnorrsig_bip_vectors_check_signing(sk, pk, aux_rand, msg, sizeof(msg), sig);
+ test_schnorrsig_bip_vectors_check_verify(pk, msg, sizeof(msg), sig, 1);
+ }
+}
+
+/* Nonce function that returns constant 0 */
+static int nonce_function_failing(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) {
+ (void) msg;
+ (void) msglen;
+ (void) key32;
+ (void) xonly_pk32;
+ (void) algo;
+ (void) algolen;
+ (void) data;
+ (void) nonce32;
+ return 0;
+}
+
+/* Nonce function that sets nonce to 0 */
+static int nonce_function_0(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) {
+ (void) msg;
+ (void) msglen;
+ (void) key32;
+ (void) xonly_pk32;
+ (void) algo;
+ (void) algolen;
+ (void) data;
+
+ memset(nonce32, 0, 32);
+ return 1;
+}
+
+/* Nonce function that sets nonce to 0xFF...0xFF */
+static int nonce_function_overflowing(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) {
+ (void) msg;
+ (void) msglen;
+ (void) key32;
+ (void) xonly_pk32;
+ (void) algo;
+ (void) algolen;
+ (void) data;
+
+ memset(nonce32, 0xFF, 32);
+ return 1;
+}
+
+static void test_schnorrsig_sign(void) {
+ unsigned char sk[32];
+ secp256k1_xonly_pubkey pk;
+ secp256k1_keypair keypair;
+ const unsigned char msg[] = {'t', 'h', 'i', 's', ' ', 'i', 's', ' ', 'a', ' ', 'm', 's', 'g', ' ', 'f', 'o', 'r', ' ', 'a', ' ', 's', 'c', 'h', 'n', 'o', 'r', 'r', 's', 'i', 'g', '.', '.'};
+ unsigned char sig[64];
+ unsigned char sig2[64];
+ unsigned char zeros64[64] = { 0 };
+ secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT;
+ unsigned char aux_rand[32];
+
+ testrand256(sk);
+ testrand256(aux_rand);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk));
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &pk, NULL, &keypair));
+ CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypair, NULL) == 1);
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &pk));
+ /* Check that deprecated alias gives the same result */
+ CHECK(secp256k1_schnorrsig_sign(CTX, sig2, msg, &keypair, NULL) == 1);
+ CHECK(secp256k1_memcmp_var(sig, sig2, sizeof(sig)) == 0);
+
+ /* Test different nonce functions */
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 1);
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &pk));
+ memset(sig, 1, sizeof(sig));
+ extraparams.noncefp = nonce_function_failing;
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 0);
+ CHECK(secp256k1_memcmp_var(sig, zeros64, sizeof(sig)) == 0);
+ memset(&sig, 1, sizeof(sig));
+ extraparams.noncefp = nonce_function_0;
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 0);
+ CHECK(secp256k1_memcmp_var(sig, zeros64, sizeof(sig)) == 0);
+ memset(&sig, 1, sizeof(sig));
+ extraparams.noncefp = nonce_function_overflowing;
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 1);
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &pk));
+
+ /* When using the default nonce function, schnorrsig_sign_custom produces
+ * the same result as schnorrsig_sign with aux_rand = extraparams.ndata */
+ extraparams.noncefp = NULL;
+ extraparams.ndata = aux_rand;
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig, msg, sizeof(msg), &keypair, &extraparams) == 1);
+ CHECK(secp256k1_schnorrsig_sign32(CTX, sig2, msg, &keypair, extraparams.ndata) == 1);
+ CHECK(secp256k1_memcmp_var(sig, sig2, sizeof(sig)) == 0);
+}
+
+#define N_SIGS 3
+/* Creates N_SIGS valid signatures and verifies them with verify and
+ * verify_batch (TODO). Then flips some bits and checks that verification now
+ * fails. */
+static void test_schnorrsig_sign_verify(void) {
+ unsigned char sk[32];
+ unsigned char msg[N_SIGS][32];
+ unsigned char sig[N_SIGS][64];
+ size_t i;
+ secp256k1_keypair keypair;
+ secp256k1_xonly_pubkey pk;
+ secp256k1_scalar s;
+
+ testrand256(sk);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk));
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &pk, NULL, &keypair));
+
+ for (i = 0; i < N_SIGS; i++) {
+ testrand256(msg[i]);
+ CHECK(secp256k1_schnorrsig_sign32(CTX, sig[i], msg[i], &keypair, NULL));
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig[i], msg[i], sizeof(msg[i]), &pk));
+ }
+
+ {
+ /* Flip a few bits in the signature and in the message and check that
+ * verify and verify_batch (TODO) fail */
+ size_t sig_idx = testrand_int(N_SIGS);
+ size_t byte_idx = testrand_bits(5);
+ unsigned char xorbyte = testrand_int(254)+1;
+ sig[sig_idx][byte_idx] ^= xorbyte;
+ CHECK(!secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk));
+ sig[sig_idx][byte_idx] ^= xorbyte;
+
+ byte_idx = testrand_bits(5);
+ sig[sig_idx][32+byte_idx] ^= xorbyte;
+ CHECK(!secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk));
+ sig[sig_idx][32+byte_idx] ^= xorbyte;
+
+ byte_idx = testrand_bits(5);
+ msg[sig_idx][byte_idx] ^= xorbyte;
+ CHECK(!secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk));
+ msg[sig_idx][byte_idx] ^= xorbyte;
+
+ /* Check that above bitflips have been reversed correctly */
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk));
+ }
+
+ /* Test overflowing s */
+ CHECK(secp256k1_schnorrsig_sign32(CTX, sig[0], msg[0], &keypair, NULL));
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], msg[0], sizeof(msg[0]), &pk));
+ memset(&sig[0][32], 0xFF, 32);
+ CHECK(!secp256k1_schnorrsig_verify(CTX, sig[0], msg[0], sizeof(msg[0]), &pk));
+
+ /* Test negative s */
+ CHECK(secp256k1_schnorrsig_sign32(CTX, sig[0], msg[0], &keypair, NULL));
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], msg[0], sizeof(msg[0]), &pk));
+ secp256k1_scalar_set_b32(&s, &sig[0][32], NULL);
+ secp256k1_scalar_negate(&s, &s);
+ secp256k1_scalar_get_b32(&sig[0][32], &s);
+ CHECK(!secp256k1_schnorrsig_verify(CTX, sig[0], msg[0], sizeof(msg[0]), &pk));
+
+ /* The empty message can be signed & verified */
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig[0], NULL, 0, &keypair, NULL) == 1);
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], NULL, 0, &pk) == 1);
+
+ {
+ /* Test varying message lengths */
+ unsigned char msg_large[32 * 8];
+ uint32_t msglen = testrand_int(sizeof(msg_large));
+ for (i = 0; i < sizeof(msg_large); i += 32) {
+ testrand256(&msg_large[i]);
+ }
+ CHECK(secp256k1_schnorrsig_sign_custom(CTX, sig[0], msg_large, msglen, &keypair, NULL) == 1);
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], msg_large, msglen, &pk) == 1);
+ /* Verification for a random wrong message length fails */
+ msglen = (msglen + (sizeof(msg_large) - 1)) % sizeof(msg_large);
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig[0], msg_large, msglen, &pk) == 0);
+ }
+}
+#undef N_SIGS
+
+static void test_schnorrsig_taproot(void) {
+ unsigned char sk[32];
+ secp256k1_keypair keypair;
+ secp256k1_xonly_pubkey internal_pk;
+ unsigned char internal_pk_bytes[32];
+ secp256k1_xonly_pubkey output_pk;
+ unsigned char output_pk_bytes[32];
+ unsigned char tweak[32];
+ int pk_parity;
+ unsigned char msg[32];
+ unsigned char sig[64];
+
+ /* Create output key */
+ testrand256(sk);
+ CHECK(secp256k1_keypair_create(CTX, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &internal_pk, NULL, &keypair) == 1);
+ /* In actual taproot the tweak would be hash of internal_pk */
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, tweak, &internal_pk) == 1);
+ CHECK(secp256k1_keypair_xonly_tweak_add(CTX, &keypair, tweak) == 1);
+ CHECK(secp256k1_keypair_xonly_pub(CTX, &output_pk, &pk_parity, &keypair) == 1);
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, output_pk_bytes, &output_pk) == 1);
+
+ /* Key spend */
+ testrand256(msg);
+ CHECK(secp256k1_schnorrsig_sign32(CTX, sig, msg, &keypair, NULL) == 1);
+ /* Verify key spend */
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &output_pk, output_pk_bytes) == 1);
+ CHECK(secp256k1_schnorrsig_verify(CTX, sig, msg, sizeof(msg), &output_pk) == 1);
+
+ /* Script spend */
+ CHECK(secp256k1_xonly_pubkey_serialize(CTX, internal_pk_bytes, &internal_pk) == 1);
+ /* Verify script spend */
+ CHECK(secp256k1_xonly_pubkey_parse(CTX, &internal_pk, internal_pk_bytes) == 1);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(CTX, output_pk_bytes, pk_parity, &internal_pk, tweak) == 1);
+}
+
+static void run_schnorrsig_tests(void) {
+ int i;
+ run_nonce_function_bip340_tests();
+
+ test_schnorrsig_api();
+ test_schnorrsig_sha256_tagged();
+ test_schnorrsig_bip_vectors();
+ for (i = 0; i < COUNT; i++) {
+ test_schnorrsig_sign();
+ test_schnorrsig_sign_verify();
+ }
+ test_schnorrsig_taproot();
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/num.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/num.h
deleted file mode 100644
index eff84220..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/num.h
+++ /dev/null
@@ -1,74 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef _SECP256K1_NUM_
-#define _SECP256K1_NUM_
-
-#ifndef USE_NUM_NONE
-
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
-#endif
-
-#if defined(USE_NUM_GMP)
-#include "num_gmp.h"
-#else
-#error "Please select num implementation"
-#endif
-
-/** Copy a number. */
-static void secp256k1_num_copy(secp256k1_num *r, const secp256k1_num *a);
-
-/** Convert a number's absolute value to a binary big-endian string.
- * There must be enough place. */
-static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num *a);
-
-/** Set a number to the value of a binary big-endian string. */
-static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsigned int alen);
-
-/** Compute a modular inverse. The input must be less than the modulus. */
-static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m);
-
-/** Compute the jacobi symbol (a|b). b must be positive and odd. */
-static int secp256k1_num_jacobi(const secp256k1_num *a, const secp256k1_num *b);
-
-/** Compare the absolute value of two numbers. */
-static int secp256k1_num_cmp(const secp256k1_num *a, const secp256k1_num *b);
-
-/** Test whether two number are equal (including sign). */
-static int secp256k1_num_eq(const secp256k1_num *a, const secp256k1_num *b);
-
-/** Add two (signed) numbers. */
-static void secp256k1_num_add(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b);
-
-/** Subtract two (signed) numbers. */
-static void secp256k1_num_sub(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b);
-
-/** Multiply two (signed) numbers. */
-static void secp256k1_num_mul(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b);
-
-/** Replace a number by its remainder modulo m. M's sign is ignored. The result is a number between 0 and m-1,
- even if r was negative. */
-static void secp256k1_num_mod(secp256k1_num *r, const secp256k1_num *m);
-
-/** Right-shift the passed number by bits. */
-static void secp256k1_num_shift(secp256k1_num *r, int bits);
-
-/** Check whether a number is zero. */
-static int secp256k1_num_is_zero(const secp256k1_num *a);
-
-/** Check whether a number is one. */
-static int secp256k1_num_is_one(const secp256k1_num *a);
-
-/** Check whether a number is strictly negative. */
-static int secp256k1_num_is_neg(const secp256k1_num *a);
-
-/** Change a number's sign. */
-static void secp256k1_num_negate(secp256k1_num *r);
-
-#endif
-
-#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/num_gmp.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/num_gmp.h
deleted file mode 100644
index 7dd81308..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/num_gmp.h
+++ /dev/null
@@ -1,20 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef _SECP256K1_NUM_REPR_
-#define _SECP256K1_NUM_REPR_
-
-#include
-
-#define NUM_LIMBS ((256+GMP_NUMB_BITS-1)/GMP_NUMB_BITS)
-
-typedef struct {
- mp_limb_t data[2*NUM_LIMBS];
- int neg;
- int limbs;
-} secp256k1_num;
-
-#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/num_gmp_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/num_gmp_impl.h
deleted file mode 100644
index 3a46495e..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/num_gmp_impl.h
+++ /dev/null
@@ -1,288 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef _SECP256K1_NUM_REPR_IMPL_H_
-#define _SECP256K1_NUM_REPR_IMPL_H_
-
-#include
-#include
-#include
-
-#include "util.h"
-#include "num.h"
-
-#ifdef VERIFY
-static void secp256k1_num_sanity(const secp256k1_num *a) {
- VERIFY_CHECK(a->limbs == 1 || (a->limbs > 1 && a->data[a->limbs-1] != 0));
-}
-#else
-#define secp256k1_num_sanity(a) do { } while(0)
-#endif
-
-static void secp256k1_num_copy(secp256k1_num *r, const secp256k1_num *a) {
- *r = *a;
-}
-
-static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num *a) {
- unsigned char tmp[65];
- int len = 0;
- int shift = 0;
- if (a->limbs>1 || a->data[0] != 0) {
- len = mpn_get_str(tmp, 256, (mp_limb_t*)a->data, a->limbs);
- }
- while (shift < len && tmp[shift] == 0) shift++;
- VERIFY_CHECK(len-shift <= (int)rlen);
- memset(r, 0, rlen - len + shift);
- if (len > shift) {
- memcpy(r + rlen - len + shift, tmp + shift, len - shift);
- }
- memset(tmp, 0, sizeof(tmp));
-}
-
-static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsigned int alen) {
- int len;
- VERIFY_CHECK(alen > 0);
- VERIFY_CHECK(alen <= 64);
- len = mpn_set_str(r->data, a, alen, 256);
- if (len == 0) {
- r->data[0] = 0;
- len = 1;
- }
- VERIFY_CHECK(len <= NUM_LIMBS*2);
- r->limbs = len;
- r->neg = 0;
- while (r->limbs > 1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
-}
-
-static void secp256k1_num_add_abs(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- mp_limb_t c = mpn_add(r->data, a->data, a->limbs, b->data, b->limbs);
- r->limbs = a->limbs;
- if (c != 0) {
- VERIFY_CHECK(r->limbs < 2*NUM_LIMBS);
- r->data[r->limbs++] = c;
- }
-}
-
-static void secp256k1_num_sub_abs(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- mp_limb_t c = mpn_sub(r->data, a->data, a->limbs, b->data, b->limbs);
- (void)c;
- VERIFY_CHECK(c == 0);
- r->limbs = a->limbs;
- while (r->limbs > 1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
-}
-
-static void secp256k1_num_mod(secp256k1_num *r, const secp256k1_num *m) {
- secp256k1_num_sanity(r);
- secp256k1_num_sanity(m);
-
- if (r->limbs >= m->limbs) {
- mp_limb_t t[2*NUM_LIMBS];
- mpn_tdiv_qr(t, r->data, 0, r->data, r->limbs, m->data, m->limbs);
- memset(t, 0, sizeof(t));
- r->limbs = m->limbs;
- while (r->limbs > 1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
- }
-
- if (r->neg && (r->limbs > 1 || r->data[0] != 0)) {
- secp256k1_num_sub_abs(r, m, r);
- r->neg = 0;
- }
-}
-
-static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m) {
- int i;
- mp_limb_t g[NUM_LIMBS+1];
- mp_limb_t u[NUM_LIMBS+1];
- mp_limb_t v[NUM_LIMBS+1];
- mp_size_t sn;
- mp_size_t gn;
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(m);
-
- /** mpn_gcdext computes: (G,S) = gcdext(U,V), where
- * * G = gcd(U,V)
- * * G = U*S + V*T
- * * U has equal or more limbs than V, and V has no padding
- * If we set U to be (a padded version of) a, and V = m:
- * G = a*S + m*T
- * G = a*S mod m
- * Assuming G=1:
- * S = 1/a mod m
- */
- VERIFY_CHECK(m->limbs <= NUM_LIMBS);
- VERIFY_CHECK(m->data[m->limbs-1] != 0);
- for (i = 0; i < m->limbs; i++) {
- u[i] = (i < a->limbs) ? a->data[i] : 0;
- v[i] = m->data[i];
- }
- sn = NUM_LIMBS+1;
- gn = mpn_gcdext(g, r->data, &sn, u, m->limbs, v, m->limbs);
- (void)gn;
- VERIFY_CHECK(gn == 1);
- VERIFY_CHECK(g[0] == 1);
- r->neg = a->neg ^ m->neg;
- if (sn < 0) {
- mpn_sub(r->data, m->data, m->limbs, r->data, -sn);
- r->limbs = m->limbs;
- while (r->limbs > 1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
- } else {
- r->limbs = sn;
- }
- memset(g, 0, sizeof(g));
- memset(u, 0, sizeof(u));
- memset(v, 0, sizeof(v));
-}
-
-static int secp256k1_num_jacobi(const secp256k1_num *a, const secp256k1_num *b) {
- int ret;
- mpz_t ga, gb;
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(b);
- VERIFY_CHECK(!b->neg && (b->limbs > 0) && (b->data[0] & 1));
-
- mpz_inits(ga, gb, NULL);
-
- mpz_import(gb, b->limbs, -1, sizeof(mp_limb_t), 0, 0, b->data);
- mpz_import(ga, a->limbs, -1, sizeof(mp_limb_t), 0, 0, a->data);
- if (a->neg) {
- mpz_neg(ga, ga);
- }
-
- ret = mpz_jacobi(ga, gb);
-
- mpz_clears(ga, gb, NULL);
-
- return ret;
-}
-
-static int secp256k1_num_is_one(const secp256k1_num *a) {
- return (a->limbs == 1 && a->data[0] == 1);
-}
-
-static int secp256k1_num_is_zero(const secp256k1_num *a) {
- return (a->limbs == 1 && a->data[0] == 0);
-}
-
-static int secp256k1_num_is_neg(const secp256k1_num *a) {
- return (a->limbs > 1 || a->data[0] != 0) && a->neg;
-}
-
-static int secp256k1_num_cmp(const secp256k1_num *a, const secp256k1_num *b) {
- if (a->limbs > b->limbs) {
- return 1;
- }
- if (a->limbs < b->limbs) {
- return -1;
- }
- return mpn_cmp(a->data, b->data, a->limbs);
-}
-
-static int secp256k1_num_eq(const secp256k1_num *a, const secp256k1_num *b) {
- if (a->limbs > b->limbs) {
- return 0;
- }
- if (a->limbs < b->limbs) {
- return 0;
- }
- if ((a->neg && !secp256k1_num_is_zero(a)) != (b->neg && !secp256k1_num_is_zero(b))) {
- return 0;
- }
- return mpn_cmp(a->data, b->data, a->limbs) == 0;
-}
-
-static void secp256k1_num_subadd(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b, int bneg) {
- if (!(b->neg ^ bneg ^ a->neg)) { /* a and b have the same sign */
- r->neg = a->neg;
- if (a->limbs >= b->limbs) {
- secp256k1_num_add_abs(r, a, b);
- } else {
- secp256k1_num_add_abs(r, b, a);
- }
- } else {
- if (secp256k1_num_cmp(a, b) > 0) {
- r->neg = a->neg;
- secp256k1_num_sub_abs(r, a, b);
- } else {
- r->neg = b->neg ^ bneg;
- secp256k1_num_sub_abs(r, b, a);
- }
- }
-}
-
-static void secp256k1_num_add(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(b);
- secp256k1_num_subadd(r, a, b, 0);
-}
-
-static void secp256k1_num_sub(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(b);
- secp256k1_num_subadd(r, a, b, 1);
-}
-
-static void secp256k1_num_mul(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- mp_limb_t tmp[2*NUM_LIMBS+1];
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(b);
-
- VERIFY_CHECK(a->limbs + b->limbs <= 2*NUM_LIMBS+1);
- if ((a->limbs==1 && a->data[0]==0) || (b->limbs==1 && b->data[0]==0)) {
- r->limbs = 1;
- r->neg = 0;
- r->data[0] = 0;
- return;
- }
- if (a->limbs >= b->limbs) {
- mpn_mul(tmp, a->data, a->limbs, b->data, b->limbs);
- } else {
- mpn_mul(tmp, b->data, b->limbs, a->data, a->limbs);
- }
- r->limbs = a->limbs + b->limbs;
- if (r->limbs > 1 && tmp[r->limbs - 1]==0) {
- r->limbs--;
- }
- VERIFY_CHECK(r->limbs <= 2*NUM_LIMBS);
- mpn_copyi(r->data, tmp, r->limbs);
- r->neg = a->neg ^ b->neg;
- memset(tmp, 0, sizeof(tmp));
-}
-
-static void secp256k1_num_shift(secp256k1_num *r, int bits) {
- if (bits % GMP_NUMB_BITS) {
- /* Shift within limbs. */
- mpn_rshift(r->data, r->data, r->limbs, bits % GMP_NUMB_BITS);
- }
- if (bits >= GMP_NUMB_BITS) {
- int i;
- /* Shift full limbs. */
- for (i = 0; i < r->limbs; i++) {
- int index = i + (bits / GMP_NUMB_BITS);
- if (index < r->limbs && index < 2*NUM_LIMBS) {
- r->data[i] = r->data[index];
- } else {
- r->data[i] = 0;
- }
- }
- }
- while (r->limbs>1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
-}
-
-static void secp256k1_num_negate(secp256k1_num *r) {
- r->neg ^= 1;
-}
-
-#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/num_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/num_impl.h
deleted file mode 100644
index 0b0e3a07..00000000
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/num_impl.h
+++ /dev/null
@@ -1,24 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef _SECP256K1_NUM_IMPL_H_
-#define _SECP256K1_NUM_IMPL_H_
-
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
-#endif
-
-#include "num.h"
-
-#if defined(USE_NUM_GMP)
-#include "num_gmp_impl.h"
-#elif defined(USE_NUM_NONE)
-/* Nothing. */
-#else
-#error "Please select num implementation"
-#endif
-
-#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/precompute_ecmult.c b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precompute_ecmult.c
new file mode 100644
index 00000000..021fe394
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precompute_ecmult.c
@@ -0,0 +1,91 @@
+/*****************************************************************************************************
+ * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php. *
+ *****************************************************************************************************/
+
+#include
+#include
+#include
+
+#include "../include/secp256k1.h"
+
+#include "assumptions.h"
+#include "util.h"
+
+#include "field_impl.h"
+#include "group_impl.h"
+#include "int128_impl.h"
+#include "ecmult.h"
+#include "ecmult_compute_table_impl.h"
+
+static void print_table(FILE *fp, const char *name, int window_g, const secp256k1_ge_storage* table) {
+ int j;
+ int i;
+
+ fprintf(fp, "const secp256k1_ge_storage %s[ECMULT_TABLE_SIZE(WINDOW_G)] = {\n", name);
+ fprintf(fp, " S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32
+ ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")\n",
+ SECP256K1_GE_STORAGE_CONST_GET(table[0]));
+
+ j = 1;
+ for(i = 3; i <= window_g; ++i) {
+ fprintf(fp, "#if WINDOW_G > %d\n", i-1);
+ for(;j < ECMULT_TABLE_SIZE(i); ++j) {
+ fprintf(fp, ",S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32
+ ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")\n",
+ SECP256K1_GE_STORAGE_CONST_GET(table[j]));
+ }
+ fprintf(fp, "#endif\n");
+ }
+ fprintf(fp, "};\n");
+}
+
+static void print_two_tables(FILE *fp, int window_g) {
+ secp256k1_ge_storage* table = malloc(ECMULT_TABLE_SIZE(window_g) * sizeof(secp256k1_ge_storage));
+ secp256k1_ge_storage* table_128 = malloc(ECMULT_TABLE_SIZE(window_g) * sizeof(secp256k1_ge_storage));
+
+ secp256k1_ecmult_compute_two_tables(table, table_128, window_g, &secp256k1_ge_const_g);
+
+ print_table(fp, "secp256k1_pre_g", window_g, table);
+ print_table(fp, "secp256k1_pre_g_128", window_g, table_128);
+
+ free(table);
+ free(table_128);
+}
+
+int main(void) {
+ /* Always compute all tables for window sizes up to 15. */
+ int window_g = (ECMULT_WINDOW_SIZE < 15) ? 15 : ECMULT_WINDOW_SIZE;
+ const char outfile[] = "src/precomputed_ecmult.c";
+ FILE* fp;
+
+ fp = fopen(outfile, "w");
+ if (fp == NULL) {
+ fprintf(stderr, "Could not open %s for writing!\n", outfile);
+ return EXIT_FAILURE;
+ }
+
+ fprintf(fp, "/* This file was automatically generated by precompute_ecmult. */\n");
+ fprintf(fp, "/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and\n");
+ fprintf(fp, " * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G.\n");
+ fprintf(fp, " */\n");
+ fprintf(fp, "#include \"group.h\"\n");
+ fprintf(fp, "#include \"ecmult.h\"\n");
+ fprintf(fp, "#include \"precomputed_ecmult.h\"\n");
+ fprintf(fp, "#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)\n");
+ fprintf(fp, "#if ECMULT_WINDOW_SIZE > %d\n", window_g);
+ fprintf(fp, " #error configuration mismatch, invalid ECMULT_WINDOW_SIZE. Try deleting precomputed_ecmult.c before the build.\n");
+ fprintf(fp, "#endif\n");
+ fprintf(fp, "#ifdef EXHAUSTIVE_TEST_ORDER\n");
+ fprintf(fp, "# error Cannot compile precomputed_ecmult.c in exhaustive test mode\n");
+ fprintf(fp, "#endif /* EXHAUSTIVE_TEST_ORDER */\n");
+ fprintf(fp, "#define WINDOW_G ECMULT_WINDOW_SIZE\n");
+
+ print_two_tables(fp, window_g);
+
+ fprintf(fp, "#undef S\n");
+ fclose(fp);
+
+ return EXIT_SUCCESS;
+}
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/precompute_ecmult_gen.c b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precompute_ecmult_gen.c
new file mode 100644
index 00000000..cd0fe70f
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precompute_ecmult_gen.c
@@ -0,0 +1,101 @@
+/*********************************************************************************
+ * Copyright (c) 2013, 2014, 2015, 2021 Thomas Daede, Cory Fields, Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php. *
+ *********************************************************************************/
+
+#include
+#include
+#include
+
+#include "../include/secp256k1.h"
+
+#include "assumptions.h"
+#include "util.h"
+
+#include "group.h"
+#include "int128_impl.h"
+#include "ecmult_gen.h"
+#include "ecmult_gen_compute_table_impl.h"
+
+static const int CONFIGS[][2] = {
+ {2, 5},
+ {11, 6},
+ {43, 6}
+};
+
+static void print_table(FILE* fp, int blocks, int teeth) {
+ int spacing = CEIL_DIV(256, blocks * teeth);
+ size_t points = ((size_t)1) << (teeth - 1);
+ int outer;
+ size_t inner;
+
+ secp256k1_ge_storage* table = checked_malloc(&default_error_callback, blocks * points * sizeof(secp256k1_ge_storage));
+ secp256k1_ecmult_gen_compute_table(table, &secp256k1_ge_const_g, blocks, teeth, spacing);
+
+ fprintf(fp, "#elif (COMB_BLOCKS == %d) && (COMB_TEETH == %d) && (COMB_SPACING == %d)\n", blocks, teeth, spacing);
+ for (outer = 0; outer != blocks; outer++) {
+ fprintf(fp,"{");
+ for (inner = 0; inner != points; inner++) {
+ fprintf(fp, "S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32
+ ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")",
+ SECP256K1_GE_STORAGE_CONST_GET(table[outer * points + inner]));
+ if (inner != points - 1) {
+ fprintf(fp,",\n");
+ }
+ }
+ if (outer != blocks - 1) {
+ fprintf(fp,"},\n");
+ } else {
+ fprintf(fp,"}\n");
+ }
+ }
+ free(table);
+}
+
+int main(int argc, char **argv) {
+ const char outfile[] = "src/precomputed_ecmult_gen.c";
+ FILE* fp;
+ size_t config;
+ int did_current_config = 0;
+
+ (void)argc;
+ (void)argv;
+
+ fp = fopen(outfile, "w");
+ if (fp == NULL) {
+ fprintf(stderr, "Could not open %s for writing!\n", outfile);
+ return EXIT_FAILURE;
+ }
+
+ fprintf(fp, "/* This file was automatically generated by precompute_ecmult_gen. */\n");
+ fprintf(fp, "/* See ecmult_gen_impl.h for details about the contents of this file. */\n");
+ fprintf(fp, "#include \"group.h\"\n");
+ fprintf(fp, "#include \"ecmult_gen.h\"\n");
+ fprintf(fp, "#include \"precomputed_ecmult_gen.h\"\n");
+ fprintf(fp, "#ifdef EXHAUSTIVE_TEST_ORDER\n");
+ fprintf(fp, "# error Cannot compile precomputed_ecmult_gen.c in exhaustive test mode\n");
+ fprintf(fp, "#endif /* EXHAUSTIVE_TEST_ORDER */\n");
+ fprintf(fp, "#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)\n");
+
+ fprintf(fp, "const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS] = {\n");
+ fprintf(fp, "#if 0\n");
+ for (config = 0; config < sizeof(CONFIGS) / sizeof(*CONFIGS); ++config) {
+ print_table(fp, CONFIGS[config][0], CONFIGS[config][1]);
+ if (CONFIGS[config][0] == COMB_BLOCKS && CONFIGS[config][1] == COMB_TEETH) {
+ did_current_config = 1;
+ }
+ }
+ if (!did_current_config) {
+ print_table(fp, COMB_BLOCKS, COMB_TEETH);
+ }
+ fprintf(fp, "#else\n");
+ fprintf(fp, "# error Configuration mismatch, invalid COMB_* parameters. Try deleting precomputed_ecmult_gen.c before the build.\n");
+ fprintf(fp, "#endif\n");
+
+ fprintf(fp, "};\n");
+ fprintf(fp, "#undef S\n");
+ fclose(fp);
+
+ return EXIT_SUCCESS;
+}
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult.c b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult.c
new file mode 100644
index 00000000..cbd030ce
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult.c
@@ -0,0 +1,16456 @@
+/* This file was automatically generated by precompute_ecmult. */
+/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and
+ * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G.
+ */
+#include "group.h"
+#include "ecmult.h"
+#include "precomputed_ecmult.h"
+#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)
+#if ECMULT_WINDOW_SIZE > 15
+ #error configuration mismatch, invalid ECMULT_WINDOW_SIZE. Try deleting precomputed_ecmult.c before the build.
+#endif
+#ifdef EXHAUSTIVE_TEST_ORDER
+# error Cannot compile precomputed_ecmult.c in exhaustive test mode
+#endif /* EXHAUSTIVE_TEST_ORDER */
+#define WINDOW_G ECMULT_WINDOW_SIZE
+const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = {
+ S(79be667e,f9dcbbac,55a06295,ce870b07,29bfcdb,2dce28d9,59f2815b,16f81798,483ada77,26a3c465,5da4fbfc,e1108a8,fd17b448,a6855419,9c47d08f,fb10d4b8)
+#if WINDOW_G > 2
+,S(f9308a01,9258c310,49344f85,f89d5229,b531c845,836f99b0,8601f113,bce036f9,388f7b0f,632de814,fe337e6,2a37f356,6500a999,34c2231b,6cb9fd75,84b8e672)
+#endif
+#if WINDOW_G > 3
+,S(2f8bde4d,1a072093,55b4a725,a5c5128,e88b84bd,dc619ab7,cba8d569,b240efe4,d8ac2226,36e5e3d6,d4dba9dd,a6c9c426,f788271b,ab0d6840,dca87d3a,a6ac62d6)
+,S(5cbdf064,6e5db4ea,a398f365,f2ea7a0e,3d419b7e,330e39c,e92bdded,cac4f9bc,6aebca40,ba255960,a3178d6d,861a54db,a813d0b8,13fde7b5,a5082628,87264da)
+#endif
+#if WINDOW_G > 4
+,S(acd484e2,f0c7f653,9ad178a,9f559abd,e0979697,4c57e714,c35f110d,fc27ccbe,cc338921,b0a7d9fd,64380971,763b61e9,add888a4,375f8e0f,5cc262a,c64f9c37)
+,S(774ae7f8,58a9411e,5ef4246b,70c65aac,5649980b,e5c17891,bbec1789,5da008cb,d984a032,eb6b5e19,243dd56,d7b7b365,372db1e2,dff9d6a8,301d74c9,c953c61b)
+,S(f28773c2,d975288b,c7d1d205,c3748651,b075fbc6,610e58cd,deeddf8f,19405aa8,ab0902e,8d880a89,758212eb,65cdaf47,3a1a06da,521fa91f,29b5cb52,db03ed81)
+,S(d7924d4f,7d43ea96,5a465ae3,95ff411,31e5946f,3c85f79e,44adbcf8,e27e080e,581e2872,a86c72a6,83842ec2,28cc6def,ea40af2b,d896d3a5,c504dc9f,f6a26b58)
+#endif
+#if WINDOW_G > 5
+,S(defdea4c,db677750,a420fee8,7eacf21,eb9898ae,79b97687,66e4faa0,4a2d4a34,4211ab06,94635168,e997b0ea,d2a93dae,ced1f4a0,4a95c0f6,cfb199f6,9e56eb77)
+,S(2b4ea0a7,97a443d2,93ef5cff,444f4979,f06acfeb,d7e86d27,74756561,38385b6c,85e89bc0,37945d93,b343083b,5a1c8613,1a01f60c,50269763,b570c854,e5c09b7a)
+,S(352bbf4a,4cdd1256,4f93fa33,2ce33330,1d9ad402,71f81071,81340aef,25be59d5,321eb407,5348f534,d59c1825,9dda3e1f,4a1b3b2e,71b1039c,67bd3d8b,cf81998c)
+,S(2fa2104d,6b38d11b,2300105,59879124,e42ab8df,eff5ff29,dc9cdadd,4ecacc3f,2de1068,295dd865,b6456933,5bd5dd80,181d70ec,fc882648,423ba76b,532b7d67)
+,S(9248279b,9b4d68d,ab21a9b0,66edda83,263c3d84,e09572e2,69ca0cd7,f5453714,73016f7b,f234aade,5d1aa71b,dea2b1ff,3fc0de2a,887912ff,e54a32ce,97cb3402)
+,S(daed4f2b,e3a8bf27,8e70132f,b0beb752,2f570e14,4bf615c0,7e996d44,3dee8729,a69dce4a,7d6c98e8,d4a1aca8,7ef8d700,3f83c230,f3afa726,ab40e522,90be1c55)
+,S(c44d12c7,65d812e,8acf28d7,cbb19f90,11ecd9e9,fdf281b0,e6a3b5e8,7d22e7db,2119a460,ce326cdc,76c45926,c982fdac,e106e86,1edf61c5,a039063f,e0e6482)
+,S(6a245bf6,dc698504,c89a20cf,ded60853,152b6953,36c28063,b61c65cb,d269e6b4,e022cf42,c2bd4a70,8b3f5126,f16a24ad,8b33ba48,d0423b6e,fd5e6348,100d8a82)
+#endif
+#if WINDOW_G > 6
+,S(1697ffa6,fd9de627,c077e3d2,fe541084,ce13300b,bec1146,f95ae57f,d0bd6a5,b9c398f1,86806f5d,27561506,e4557433,a2cf1500,9e498ae7,adee9d63,d01b2396)
+,S(605bdb01,9981718b,986d0f07,e834cb0d,9deb8360,ffb7f61d,f982345e,f27a7479,2972d2d,e4f8d206,81a78d93,ec96fe23,c26bfae8,4fb14db4,3b01e1e9,56b8c49)
+,S(62d14dab,4150bf49,7402fdc4,5a215e10,dcb01c35,4959b10c,fe31c7e9,d87ff33d,80fc06bd,8cc5b010,98088a19,50eed0db,1aa1329,67ab4722,35f56424,83b25eaf)
+,S(80c60ad0,40f27da,de5b4b06,c408e56b,2c50e9f5,6b9b8b42,5e555c2f,86308b6f,1c38303f,1cc5c30f,26e66bad,7fe72f70,a65eed4c,be7024eb,1aa01f56,430bd57a)
+,S(7a9375ad,6167ad54,aa74c634,8cc54d34,4cc5dc94,87d84704,9d5eabb0,fa03c8fb,d0e3fa9,eca87269,9559e0d,79269046,bdc59ea1,c70ce2b,2d499ec,224dc7f7)
+,S(d528ecd9,b696b54c,907a9ed0,45447a79,bb408ec3,9b68df50,4bb51f45,9bc3ffc9,eecf4125,3136e5f9,9966f218,81fd656e,bc434540,5c520dbc,63465b5,21409933)
+,S(49370a4,b5f43412,ea25f514,e8ecdad0,5266115e,4a7ecb13,87231808,f8b45963,758f3f41,afd6ed42,8b3081b0,512fd62a,54c3f3af,bb5b6764,b653052a,12949c9a)
+,S(77f23093,6ee88cbb,d73df930,d64702ef,881d811e,e1498e2,f1c13eb1,fc345d74,958ef42a,7886b640,a08266e,9ba1b378,96c95330,d97077cb,be8eb3c7,671c60d6)
+,S(f2dac991,cc4ce4b9,ea44887e,5c7c0bce,58c80074,ab9d4dba,eb28531b,7739f530,e0dedc9b,3b2f8dad,4da1f32d,ec2531df,9eb5fbeb,598e4fd,1a117dba,703a3c37)
+,S(463b3d9f,662621fb,1b4be8fb,be252012,5a216cdf,c9dae3de,bcba4850,c690d45b,5ed430d7,8c296c35,43114306,dd8622d7,c622e27c,970a1de3,1cb377b0,1af7307e)
+,S(f16f8042,44e46e2a,9232d4a,ff3b5997,6b98fac1,4328a2d1,a32496b4,9998f247,cedabd9b,82203f7e,13d206fc,df4e33d9,2a6c53c2,6e5cce26,d6579962,c4e31df6)
+,S(caf75427,2dc84563,b0352b7a,14311af5,5d245315,ace27c65,369e15f7,151d41d1,cb474660,ef35f5f2,a41b643f,a5e46057,5f4fa9b7,962232a5,c32f9083,18a04476)
+,S(2600ca4b,282cb986,f85d0f17,9979d8b,44a09c07,cb86d7c1,24497bc8,6f082120,4119b887,53c15bd6,a693b03f,cddbb45d,5ac6be74,ab5f0ef4,4b0be947,5a7e4b40)
+,S(7635ca72,d7e8432c,338ec53c,d12220bc,1c48685,e24f7dc8,c602a774,6998e435,91b6496,9489d61,3d1d5e59,f78e6d7,4ecfc061,d57048ba,d9e76f30,2c5b9c61)
+,S(754e3239,f325570c,dbbf4a87,deee8a66,b7f2b334,79d468fb,c1a50743,bf56cc18,673fb86,e5bda30f,b3cd0ed3,4ea49a0,23ee33d0,197a695d,c5d9809,3c536683)
+,S(e3e6bd10,71a1e96a,ff57859c,82d570f0,33080066,1d1c952f,9fe26946,91d9b9e8,59c9e0bb,a394e76f,40c0aa58,379a3cb6,a5a22839,93e90c41,67002af4,920e37f5)
+#endif
+#if WINDOW_G > 7
+,S(186b483d,56a0338,26ae73d8,8f732985,c4ccb1f3,2ba35f4b,4cc47fdc,f04aa6eb,3b952d32,c67cf77e,2e17446e,204180ab,21fb8090,895138b4,a4a797f8,6e80888b)
+,S(df9d70a6,b9876ce5,44c98561,f4be4f72,5442e6d2,b737d9c9,1a832172,4ce0963f,55eb2daf,d84d6ccd,5f862b78,5dc39d4a,b1572227,20ef9da2,17b8c45c,f2ba2417)
+,S(5edd5cc2,3c51e87a,497ca815,d5dce0f8,ab52554f,849ed899,5de64c5f,34ce7143,efae9c8d,bc141306,61e8cec0,30c89ad0,c13c66c0,d17a2905,cdc706ab,7399a868)
+,S(290798c2,b6476830,da12fe02,287e9e77,7aa3fba1,c355b17a,722d362f,84614fba,e38da76d,cd440621,988d00bc,f79af25d,5b29c094,db2a2314,6d003afd,41943e7a)
+,S(af3c423a,95d9f5b3,54754ef,a150ac39,cd29552f,e3602573,62dfdece,f4053b45,f98a3fd8,31eb2b74,9a93b0e6,f35cfb40,c8cd5aa6,67a15581,bc2feded,498fd9c6)
+,S(766dbb24,d134e745,cccaa28c,99bf2749,6bb66b2,6dcf98df,8d2fed50,d884249a,744b1152,eacbe5e3,8dcc8879,80da38b8,97584a65,fa06cedd,2c924f97,cbac5996)
+,S(59dbf46f,8c94759b,a21277c3,3784f416,45f7b44f,6c596a58,ce92e666,191abe3e,c534ad44,175fbc30,f4ea6ce,648309a0,42ce739a,7919798c,d85e216c,4a307f6e)
+,S(f13ada95,103c4537,305e691e,74e9a4a8,dd647e71,1a95e73c,b62dc601,8cfd87b8,e13817b4,4ee14de6,63bf4bc8,8341f32,6949e21a,6a75c257,778419b,daf5733d)
+,S(7754b4fa,e8aced0,6d4167a2,c59cca4c,da1869c0,6ebadfb6,48855001,5a88522c,30e93e86,4e669d82,224b967c,3020b8fa,8d1e4e35,b6cbcc5,37a48b57,841163a2)
+,S(948dcadf,5990e048,aa3874d4,6abef9d7,1858f95,de8041d2,a6828c99,e2262519,e491a425,37f6e597,d5d28a32,24b1bc25,df9154ef,bd2ef1d2,cbba2cae,5347d57e)
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+#endif
+#if WINDOW_G > 8
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+#endif
+#if WINDOW_G > 10
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+#endif
+#if WINDOW_G > 11
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+#endif
+#if WINDOW_G > 12
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+#endif
+#if WINDOW_G > 13
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+#endif
+#if WINDOW_G > 14
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+,S(53f86d45,61deef96,ca88a685,38fd35ec,a95740a4,3a52c601,faaad0c2,aa3ab72f,667a6ece,bfb97682,c5e9e5df,b6d29156,9604f63,d9ab00ab,8cb10000,e6b01514)
+,S(20990660,f1055420,b885fb0a,38824740,3b141c37,5aa20dce,8a29191a,e77bbb16,7d434476,9e302e38,9e14c02e,f5fd8a5c,64cfcf3d,e9813f1c,f53bc6d3,4da93559)
+,S(1e70619c,381a6adc,e5d925e0,c9c74f97,3c02ff64,ff2662d7,34efc485,d2bce895,c923f771,f543ffed,42935c28,8474aaaf,80a46ad4,3c579ce0,bb5e663d,668b24b3)
+#endif
+};
+const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = {
+ S(8f68b9d2,f63b5f33,9239c1ad,981f162e,e88c5678,723ea335,1b7b444c,9ec4c0da,662a9f2d,ba063986,de1d90c2,b6be215d,bbea2cfe,95510bfd,f23cbf79,501fff82)
+#if WINDOW_G > 2
+,S(38381dbe,2e509f22,8ba93363,f2451f08,fd845cb3,51d954be,18e2b8ed,d23809fa,e4a32d0a,fb917dc,b09405a5,520eb1cc,3681fccb,32d8f24d,bd707518,331fed52)
+#endif
+#if WINDOW_G > 3
+,S(49262724,e4372ae6,f6921b82,aa4699a1,f186aea5,40122630,3ea42648,97c2a310,1337e773,bca7abf9,5a2cfa56,9714303b,6d163612,a75ff8ce,c41b681,5e27ded0)
+,S(e306568c,1a240c90,d5e253b3,e477e2f8,4dcc1a56,ff06db8d,1384b079,cebd2d31,eac6fe3,78934260,888f2b10,7f7d0db6,ffbc8042,be373826,692b4083,92546e44)
+#endif
+#if WINDOW_G > 4
+,S(3b9e100e,2428cefc,271b0e76,23fbd633,74ebf8d9,aab41dd9,c530c39e,363136b0,fafb9815,2d16bb71,df1533eb,8f475b26,a2ae28a3,3ad31f81,953ec16f,6cdbbc8a)
+,S(bb0aad49,712ac9a9,2b76ca80,f5dedef7,17ca0768,8107beee,9608f047,2f485d3f,ea699c53,c5835479,8ecd201f,7297da34,895a5afa,31670bff,e7939250,3ca2f975)
+,S(79090ac8,e4eefcc0,d4e8eb19,7afe0113,e1e58b4d,b01123de,4aeed33a,36718dc9,eaab722b,91905b8f,13d816cb,cd9aaa56,dd36afb7,ba9008b,963322b1,1cfae7c5)
+,S(e77c81ad,e9f97b55,1c03dbbc,e549ba66,8dd71de7,cd775ad2,a269694c,7f60c7d1,3acf1478,eef81321,c5fc3b32,3ea81543,631470f7,1c2986d3,4ec581f2,82d72449)
+#endif
+#if WINDOW_G > 5
+,S(de2b5ce9,dbce511c,f2d8878e,3ded87cc,3d633dae,a2d45341,501fb3a4,55ccf6b0,f10576f3,d3c3e0e1,bbf717e9,8b1a3744,65b8c45a,c66318bb,34829eb7,11100666)
+,S(d07bddff,d491a2fe,1ea59fbd,7c121217,29659ca5,de46658b,26b1460b,13c03c56,b2ad4708,cd3c97dd,f9c40e2,a1de04d5,61d963ff,8cc2eea7,6be3f60c,2b405ce7)
+,S(82403e7c,5d3016af,3765ec4c,396ce8e1,f8da45c,434b8257,10edab41,bb6a4d51,d09661b,e27cb767,4456badd,b3e84051,99ab6ccc,4ec67c1b,11e92ead,7b463b19)
+,S(eadc3131,fbd626f5,263faa58,c4caf4d9,930f933d,9541c23f,438cb486,750680cf,d3c977b1,c9b4a897,5c64b36c,972d5d01,a388fb9d,c3791a74,36094ff1,2c87a914)
+,S(3903ee5f,6758ff24,c518a4b3,86748f4f,36bdd65c,b77e78ac,609f2909,fc7987d9,e92194e,a15241d6,40915934,bd234749,8d222a18,4927a8da,b0cfe2ae,182be83b)
+,S(d0803b78,39ab48a3,8475bdcc,f9a9f219,5759c343,dbbf8e93,23e1f882,5be6a5d9,2cc3b180,ff29c97e,a12ec15f,b38bafa4,4ecf06c,e51d1d24,2894a926,64582f0b)
+,S(1f56f096,b18a7499,a153a5ae,acf8be05,8496dd23,da8e6c19,215628fb,c0567ed0,fef22b8a,3b52f490,83004436,b65cd69,c94189f4,1a93c0d5,1fc13cb4,379dff58)
+,S(1d9f69b1,a4a47432,e386f525,234aa30,79e947cf,cf203297,4e0fc05b,638e213b,d898ec17,949c0761,b38500c3,a2b1da24,5438d5b3,d3f6f720,41f15d6e,e4d4ccbb)
+#endif
+#if WINDOW_G > 6
+,S(128c913,4d9dcb78,12fc4361,5c67ad0,55213354,dc8008b1,aeb5a9dc,fb629efd,fee3e54a,dd152610,d9725936,99d662,c160c8e4,ec6f76e4,5ff41818,be67c96)
+,S(21ec012f,5a95b94d,244b8d51,9756075c,301f2854,8e2c51fc,49c0e3d9,d1a9685,2def2105,77af497f,4c7fef71,6949f28e,7418eda6,fd5fc162,d128de19,3cde08ae)
+,S(688f5202,fb9d8bc0,9e480e89,4c7cfc74,761c3be7,7dafb11c,58422836,3e331cc5,96ba7d59,63b541a7,2ec7cabd,92403434,1a393eaf,89eebd94,62d9c218,c7302cd3)
+,S(fb5c9eea,1cb9a8f5,b3314c30,a50d35,744d0ef,e8bbf68,2e4d3ab4,f7f02baf,29fb8844,e18fc551,fb28bd26,95c5e95c,6868e0cc,7e526af0,91157e9d,fb630418)
+,S(f1479fe2,2eedae3f,2f5f6a5d,84a9de1d,593168ec,7b52380d,e0b3625c,cac03421,1a642d5d,2fd88b82,13b50d1a,3fbd3419,c0b4630c,48352131,cb856b2e,22764606)
+,S(2273edc5,e8199774,93c5b0e0,9fe0effa,f60f7b,2898565a,69f5c7b2,bf1a7950,b3aea238,8fd978d9,29f1a1df,98495358,b64691fc,4f50b530,906ae39e,fe7bda12)
+,S(99f8480c,30504378,b47d10b3,2b39da2f,496d59f4,b1462856,56f05ad7,9bef5214,e001d55d,8e224286,8d8bd397,cb5aa99e,d930e437,e4e62151,71da7ae6,6264b2cd)
+,S(382257f,e4751280,d74fdfc6,993c8642,9c000d5,87f57635,bc9656ba,996a6f1f,c2dc733d,fe52cb06,265a4f1d,a6b5f1f9,30dbfa39,e3659973,1c672aad,8b51d474)
+,S(23a13632,9125386b,e45f4e1b,2acc847a,62e5eaf9,f6d5f452,6e145e7f,ecefb24b,9129777e,643ba22,2bf817a1,af7155f1,413cc370,3734ba6f,49f15f55,996854c0)
+,S(6659ea60,58a664de,a35791a1,8c5cded4,8cf5593d,c440b9d4,8a30ac35,79149f0b,2adcc705,a85d836f,b347b69e,742fc6c3,5300d1d8,e534f1ff,c820c6d6,b2f2199d)
+,S(52dc3bc6,e1acd3b4,7ece6f6c,89fd2a3e,2899b487,41421033,37a67dd,1ba939fc,5daeb346,32ad107f,bd83d9da,15a3c4ff,1e8f6ba3,ee5193e2,709e89c3,43d05746)
+,S(524b2a97,93cd5745,bd9189ba,9c947bc1,693fbceb,75f074f6,17376b10,d5573551,9e8099d6,cb23fb1a,9deb92cc,3e8a2fb5,a6865ac6,3dececa0,2d146e1b,bcc80b71)
+,S(732181a8,e2bc5953,923e6c3d,d960e9b7,525b7b95,e5906997,6fe79156,1782756e,2516c6b3,5592eb0a,42ba193c,bae98ab,e3c42d96,148f1d84,edac621a,722e4823)
+,S(b8e8942d,926e38fd,f338496a,c2ef6fca,49a7ae3d,f76eb15d,8d570111,e502664b,7990d56e,7dea588e,4d670ba2,2031e6c7,97248641,69e51d77,f792f5ed,befaf8eb)
+,S(144e88f6,3e73abff,72cac11e,7ddccf79,19e744e6,278941ae,18d1b797,e098e4e5,63cdbf3,5df3c655,c58197f,ea54633d,158705cf,7dc2eb3b,4e09f83c,3021837c)
+,S(9436e3dc,489ecd8e,2d16a739,c9c73e3d,60e5bc93,68157039,75b8efbd,5c3a9081,1460531f,50cb6ebf,d1aa7806,ea84e7f7,8e8d76b2,b3a66d5e,3a0bf60,39a7e59c)
+#endif
+#if WINDOW_G > 7
+,S(9d3c2561,7a56d10b,46d9b01a,1710d193,e840e005,df669e76,1936c275,20890db9,6bbdc0bc,4c4ae9bc,c2dfee9b,82da9b94,1f89ffcd,e8af2aca,4467ce3,78521ea3)
+,S(29f98e50,f51b7f8b,e18c6ae0,b453c4f2,d0aca5a8,b0e61d2d,dda8506,3fdb76c8,daf3bcdc,ae8e031c,73eb8b21,14058063,58a6ec30,ad379186,df80e3c7,f0e5d28f)
+,S(d67d30c2,c71daa36,1805e31,1dd6046e,17a89752,94d76e1a,538af074,4dc22c94,48b9b0e7,12c807b0,b92e690a,a2e068cc,e87ebbbe,aaf4bd96,9c1114bb,a54f670c)
+,S(f22c2ba8,8ce9c2e4,b772c9b7,6d03a017,59aa7b9,97a78334,83566027,2fc81649,6aa9e710,f190be16,243a4e0f,1570270a,2d92dca9,8cf99a3,cbc06fdd,f9b7028f)
+,S(c5e718d,6b94c83,e52533c9,ef3234f,36b722ed,cfc074a5,eff30969,9ac5f894,24961051,ccfc6619,dd64e810,fa9c504b,f7f8ce9e,cc445d7e,642b3166,eeef436)
+,S(26a8bcaa,c836eb7d,57618999,ef87ee4e,c291dc8b,333554a2,c1f66f73,7944d611,c20051ba,7236663,ace2da29,c1e0763c,e57192d0,e199e7a6,c69cc65d,bbbcecc9)
+,S(388e3570,fb7b1545,9bf01ba1,7a6496d5,6bcf65e1,764e7aa,2c083346,2dfa098c,2d4e0d22,a2eb0ff0,545561e5,ae344be6,99120d12,45db6bde,a9500f5f,a07be798)
+,S(68189bab,b5a0783e,23227efa,4eab2c6e,da2d1c,2ea57fca,7a7f8f72,15250709,bd30bd83,3694d3fa,a14954f6,251445f8,3e42d517,30d30855,a0eb834d,3c7ae856)
+,S(642e0823,bb347795,967b7aa9,418a25,ea6ff683,fd7b3d42,b88d90d1,292190ab,db73dea7,86ec052f,e3674892,639daf39,286b4690,63b68903,210639c7,f3b4000f)
+,S(9ab6ea81,e5bf5505,751addea,5896afab,7f4eff2f,d3986027,f916835c,64924afa,38c06aa7,4870a5e7,2ff29efc,bce4b3e7,dd951c9b,29966f2b,47d007ac,7629bb6c)
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+#endif
+#if WINDOW_G > 8
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+#endif
+#if WINDOW_G > 10
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+#endif
+#if WINDOW_G > 11
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+#endif
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+,S(a7c9398c,5938a3ca,e32d2947,d8e3a58,e42a669f,5cd9b219,d8acf6f5,2cef9bf5,43e2a5a3,dae4bd5e,64a30861,7056fce6,cf86d0b7,41c3b46e,3a3ed90e,98d2d51c)
+,S(faa9724a,357b6806,7be30aa6,4fb85879,1969191e,346d5d73,8a85b27c,c6608d72,ea1f8a66,8f4881fc,4ecfc556,f0ca4e12,b93ee6ca,54a0fce,b2fe51ca,174d9713)
+,S(28301cf8,328171c0,74cd585f,6e5870ac,815de8d0,9c9f15c5,5540de9a,b29a86df,31910e6f,15585710,74e87f41,e5cc9c73,4ddd15bd,4436ec8f,59806afe,7901c2e4)
+,S(fbde2380,ae0cccc4,e044ca59,92be8e11,5fc782eb,c1d49bc2,cbdfd1f5,d7908a09,c1a1d67c,74777fbb,68919bf4,11de555a,6485436f,7e34062b,480b7516,8a03dba3)
+,S(59d8ba7b,6c71ba1d,191d4cce,662483cb,9784ede7,d1908e81,815d0a48,4b84bf7d,8a32e968,1ecf963b,3c23a9d2,f382490b,1f229b27,a663f4a6,9819c33b,f9f6149f)
+,S(6c3a61d7,1c999ae0,604511ad,23f620ad,dfc7891b,925eeed1,6a5ca37f,b41b47e4,f7115905,c696c2b3,e2b82a30,9728923e,b8eba53c,363f1456,73676b59,9b50b9c0)
+,S(8e53027f,8e137bfa,73eb5167,35382ba,ab3468f4,d4227b19,a45c51c2,ef3d8339,2b5ea7b9,542a83ab,a1c402ba,be13437b,c621067,96e83b7a,2cdedc52,2bcff513)
+,S(113aa35e,6a5f794b,a56b04a3,d639b1e1,64a790b5,8ff310c,fbeab588,f93be16a,227c17e7,d95583e7,fdcc3ab7,b24182b5,1bb11e91,9f28fd7b,3a2e4a40,4f333962)
+,S(16c4c83f,5a06b2de,9d3f39e7,1f0a9de7,af6e8fc7,b0fecaf3,2c82f1aa,fe9a5343,b4cbf71e,c3ad4635,87f8e355,cffe1ea,a19f1dc6,d233d617,776a69a9,ab8dec03)
+,S(4d97594c,613de84a,e685199a,ac639a56,e5c15a0e,c00282bd,197cc2ea,90f8fbb0,b9f39a44,24cbb1e2,f77afa90,ec7266ee,64ea987e,80a32b34,483c1f2e,b0c5844a)
+,S(b679693a,b3fecff0,819e0598,65406521,1f9aee9c,1ea44417,eba86ebe,32414ac3,7bfe1ba0,ae17291d,71aac3f3,66e5a927,56b53312,a6818d1a,78b7d9ef,a5d01b2f)
+,S(a97c2730,a78cf5b7,538b518a,87d8fc55,f95a367d,4e021d23,79f163eb,98b6eb9a,aed1e51c,3ce7e35e,ff69e7d9,3fd3a968,59f0f23a,7bbab9d8,3b60cabd,cebd34f)
+,S(7dd4e84f,6547d66b,5e0b204c,ed1d0258,4fe92ed8,6b504ae4,eb1b3d66,d43b8ca4,7956148f,de975510,5e3b5126,f82e77b,89a77b68,ffc9364c,bfb596e8,187ea99b)
+,S(5e856d1d,25acc306,e8c1a2b7,a9ccea1,beb3008d,c224b38f,e2f31376,65d07c3f,7dccf6b1,55c12be2,f3da02c9,12fdb666,816558b1,11a2a545,9d88aa28,9d855e6c)
+,S(c85ee868,7f507429,e5c26af6,7ef1fe45,e782661c,1fa03aa3,ee9dd9c9,302e5dd6,732de6ad,d071a0b0,b77e47bc,14e176d4,c85b39d0,ac5b4ea,55f0d367,dba5ab5d)
+,S(a97ba3a5,cc2d5148,3f65c65b,483b3e4f,3c68e46b,87bcfea1,42aeed8,4c42e42b,f4eb1271,3024d1,b7612c3b,7dc3dff8,ca336f23,5db7daf9,3ca6f7d8,1bdb4a21)
+,S(3c0396cf,6ff0150c,5b6bd528,4a05d0a5,3b735c85,125bd49c,f62db5b6,4eaf54a7,6ec02c02,f8d9a61e,6bb38d64,daaf3c7d,5324462e,37e2df8d,4ad12bfa,37fd2cb2)
+,S(e36fcebc,e406d2a4,ad42f7dd,cc00e9f3,cf385eeb,58cee004,5aab8174,82d84f94,7c98182f,6edd358e,76d66de0,b45ae9f6,5eb75092,1a25194c,1911bd9f,7e6a1a6b)
+,S(171ea2ec,b9641746,7d7edcf,ecd6d85,8577322e,6ebac130,5ab57f33,62eb4e37,9f219970,753a7b9c,e4f0c6ce,5745596a,aca8df7b,a73660c9,10add5a9,d4c533d6)
+,S(a81d720a,bf8047e8,ef67bf2,71a13f47,636a5f9e,ec425649,1cbdad65,39652f9e,92b37c88,275c022b,635df6b,9246edf5,5dbd8284,eaa4cd7e,3d3ce6d1,c0ca3794)
+,S(fa3b6973,4bd9939c,4b6ecd3b,f0a06327,2dc11345,1bddd717,f17b745f,bc3f99b3,f38a4e1a,bcb35097,7acc8f2e,d7f73f75,d406e7f2,22fdeea,2c12d8b9,e5d2dfa3)
+,S(c117681e,b55bff67,feda80a1,ae88b4be,c806860d,91916619,288a7ce0,b31aef86,d94ae124,dca678bc,b69c9421,f295405f,d6dc1fac,de96a2b4,58ba5fd2,72faa032)
+,S(5ccc0619,92744a57,683de5e3,7b956fa1,fd7287d,b4516fc9,f8635be3,a0db42a9,af1f73ea,4d2168e1,7550ffc,dcbba288,8397931b,e457ce6f,3f8082f8,cfc5f03)
+,S(858b019c,8a93524f,6c86738d,cb10b534,d8caaf86,5c0ce75c,fc9b83b0,7c661a0a,7c59d30,1ffc8ce1,b0767ed7,91f84bc5,60bb8ca,ed3464ba,698a53c,160ec570)
+,S(e1e217b8,69da0c77,599dcc38,40fa1d8c,a8d08b1a,4ac9a882,da1476cc,cc76fa56,83f0ef77,905f0801,4bd86e17,63b8c2cf,ab2018a8,9586620a,b49a15,9fc314ca)
+,S(15a1ae40,b4fc51dc,554b75d4,db0c2bfd,62dfbbfc,dede18e1,4edbb689,91525cff,4f0453b7,e4e0e99d,9663e5c6,bb018007,b52c8e14,d78a28d,c4a888e4,8c4326c2)
+,S(1b9a142f,fc4d03ea,4b079f2d,b05fad98,8ddb2d32,b359967f,c173801f,63320825,59bda7ed,5b691c20,4fc8f8ac,f53be298,ae628954,a8134d0f,dd097e67,be9ff9b6)
+#endif
+};
+#undef S
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult.h
new file mode 100644
index 00000000..17df1029
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult.h
@@ -0,0 +1,38 @@
+/*****************************************************************************************************
+ * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php. *
+ *****************************************************************************************************/
+
+#ifndef SECP256K1_PRECOMPUTED_ECMULT_H
+#define SECP256K1_PRECOMPUTED_ECMULT_H
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include "ecmult.h"
+#include "group.h"
+#if defined(EXHAUSTIVE_TEST_ORDER)
+# if EXHAUSTIVE_TEST_ORDER == 7
+# define WINDOW_G 3
+# elif EXHAUSTIVE_TEST_ORDER == 13
+# define WINDOW_G 4
+# elif EXHAUSTIVE_TEST_ORDER == 199
+# define WINDOW_G 8
+# else
+# error No known generator for the specified exhaustive test group order.
+# endif
+static secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)];
+static secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)];
+#else /* !defined(EXHAUSTIVE_TEST_ORDER) */
+# define WINDOW_G ECMULT_WINDOW_SIZE
+extern const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)];
+extern const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)];
+#endif /* defined(EXHAUSTIVE_TEST_ORDER) */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* SECP256K1_PRECOMPUTED_ECMULT_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult_gen.c b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult_gen.c
new file mode 100644
index 00000000..248fb077
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult_gen.c
@@ -0,0 +1,1779 @@
+/* This file was automatically generated by precompute_ecmult_gen. */
+/* See ecmult_gen_impl.h for details about the contents of this file. */
+#include "group.h"
+#include "ecmult_gen.h"
+#include "precomputed_ecmult_gen.h"
+#ifdef EXHAUSTIVE_TEST_ORDER
+# error Cannot compile precomputed_ecmult_gen.c in exhaustive test mode
+#endif /* EXHAUSTIVE_TEST_ORDER */
+#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)
+const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS] = {
+#if 0
+#elif (COMB_BLOCKS == 2) && (COMB_TEETH == 5) && (COMB_SPACING == 26)
+{S(7081b567,8cb87d01,99c9c76e,d1e0a5e0,1d784be9,27f6b135,161e0fd0,3f39b473,ad5222ac,f062cb39,21b234a7,15b626ae,f780b307,9b5122d1,53210f42,d9369242),
+S(228af17e,df90d1cc,a40173e9,478fa445,9780dacd,c3f15b90,fda5d00e,1faa1b51,8ff47c4d,a4ba636a,f656da9,12a81f79,6252496d,1e519886,b2c2b073,25be2b4a),
+S(b515ebe0,f48fb34e,9e01824c,d90553af,db116579,96667847,5ebaa700,242fd722,4cf08191,510fbf0,51f9e19a,198f11f6,ea31268c,2a6d384c,60557250,f0553c50),
+S(c37581f1,35446ff3,e80cde04,ec987f08,5af3af9f,71d87494,99b03ba,dcb8f78c,9e46324a,8d8754fe,fbda7c34,2446cf72,b7472708,25cfb92f,a22a4e73,4f1e9bc7),
+S(768392e3,b2ccbbc,21792f2d,6f43c63d,efcc249,bcd549cb,96abd8ef,4ae59e90,5d061a40,ac3f93d1,82f0f7a9,914fff5d,90bbacb9,1965882c,591e89bf,c49da994),
+S(a9db5de9,2d96c715,8ce5ee00,3d186cf1,976f6a76,f1be0714,726594fb,6c1ba564,743df2a8,ee73fb4a,47b3d0f,2f2b8cab,5af5227,f232946a,82676e4e,8bb70c8b),
+S(58921d8d,3712f640,657e762a,737ccd0a,cece1459,a2ba8323,20b43903,d4953f93,78c26959,7e422c02,c01fcbef,484a9d44,9f635c82,849bc2a3,2a9bf6ef,3e6f1e7e),
+S(bae41760,ade541bb,60028015,f6906b78,aa41515a,d995dc40,afa091da,77ae8b9a,716ff74d,ad6dc24c,77ebe31f,abe19792,41d18b0f,43ff7598,c6ea04c6,6899219f),
+S(e836ff6c,6f9e02e2,4e6f6bcc,2f2460b4,9de88730,6d69241f,b22fa574,7e100f80,77c41df1,4d87b6d3,de74deca,ad426635,f85daca0,ab966a4,5a26a972,32105c5),
+S(c7f17d19,fbbf28e2,543fceb2,4268ff6f,1b85e189,79b09991,7457fca0,9ba1b5a4,23a6d4aa,83ee15bf,f1655575,3e4162c5,8acedadb,4c4abfc2,54b7018,f477514b),
+S(79c337ad,8835046e,572eea35,df76276b,84e99172,7bbc68a6,8c0b743,28619a,af6cf2b3,9c6b51c9,f1f92e42,6598dcbe,39da6196,2abae0da,d5fc8d0a,aa16a875),
+S(1e77739b,12d20887,2bfe200b,d202972a,544804f5,2b0969c5,c22fbe1c,b8b23837,880c7490,c0455322,a0f1e67d,34b3fd1e,33c1e7da,83b9b047,5aef7bc1,332ccee5),
+S(b1d314c1,74d493f6,c36a893a,830d90b,f1e86d0c,6deceee0,edb77ff4,31e9607f,8a4ba010,ec3e47cb,29d8f056,e056eb73,3b6b35f6,4c742d06,9ab832f4,68bcd3be),
+S(2498aea6,471f748a,f14e50e6,bc17e0a3,ee09514d,fccbd174,f8a21d02,dd0fae48,55a3949f,2e4188e2,b3d344ce,6f0276b5,99b121bc,358e8fe6,bc4f03f5,a8219d08),
+S(42d0778e,27e87710,dd19285e,d531af1e,7064386d,11b1b3c9,fb788bf2,b0c112dc,37888909,d943825a,9610e37a,362549f,547b7c7d,ae64a27e,c34290f0,b4fc5fcc),
+S(af09a9f8,3a21b2fd,69ce14c5,495c680e,df18e426,c1ca5a1c,af56246f,d6ea5bbd,8eae43ca,8e591017,62c4cb02,9e5cacd2,58f0fdb1,ddbef7e2,c5765208,107c96af)},
+{S(4a7f72ed,ebd8df1f,13db15be,3ab296a8,d67edee4,37965f03,eb501205,3518ddea,1f8c4dc1,2d0e59e7,7d30a326,fd4ecbf8,aacd5fb6,7dc7169,898a9708,ac46b972),
+S(c4d4f8d4,949d1ff6,559925db,f4d34972,af16062b,d59493b8,b1e0d546,c2870874,cd7f93e6,c0ee3fdc,4267625a,a6620540,4f6d80c3,d0f7210a,ce6b52e,c350706e),
+S(773627f7,dcc56184,7eabafa3,42fffade,325b8ee2,a96f2f77,cbe675a6,2942277d,fb0ad731,9bff4c9c,270d93d1,89a4c380,218ec9df,1f564228,641ab35c,46526bd6),
+S(ff443101,befd0bd9,e1914864,3eceea06,b9cf711b,1405e3d5,3883a29f,906063ed,aa1b7d9f,59cbddf7,bc1ad03c,44c4295e,efb406ca,7960c683,eca508d1,b2a9a2dd),
+S(cbfb6813,a6874b65,9234e866,c2875f70,e45f9f76,3d634752,3f86040c,880a2e56,ed85d1a,6620c1a4,85ba3038,d2ee6590,4e27206b,eaa531ec,1eb5b886,8232cbca),
+S(4e85c77b,27788563,aaeba139,975f7125,f3c933b4,8d67ba6a,2e964243,bdd7bb51,200a9d9b,3400c87b,1fb98422,3200aeb8,e6a5af1d,58c061f0,d059c0b8,d431c08a),
+S(d58178ed,f0ce32e3,39a524f7,ad389f7d,8817f41f,ed782612,45218816,2a67d4f0,4840df81,5dab9596,93f9284c,54bdee72,f4861d39,3944c648,ecd76ec5,6dd3225e),
+S(670f8f7,9b66496d,13692558,d56d4cd7,a1eeb0d6,9e5133ab,4f0a064b,7152fce4,1a72206,6f530586,927c2e39,370d11f3,e251bd9e,eee10303,406b7592,716333d6),
+S(10b41abd,ed4de2fe,b7a40050,e61e5982,89a8cf3,6eaa608c,f2a82c63,5788f1d0,532d168d,680e9c74,4d5111da,6aab902a,9a0f5283,7836b9d9,585dbc8b,1a407de4),
+S(76abd21b,103aea9a,f04b4040,297894ce,a501474d,9d38d30,8ed02cc7,137bc7c9,b5a432ad,9e92935f,7040897e,3b04152f,693c5f2,cc1e1d53,2c33f70d,185318e1),
+S(4335e10d,5e4f02e6,f1b58a0d,ffb473ec,15f735a3,bf96c140,50bae78c,37061db2,1301143b,1f29f122,afcd0230,d46b6b38,b154e589,92b7eeb4,16088968,a7d57485),
+S(2b3966f0,7e37e771,ac4c68ad,b8eef3c0,977cb895,2f47676b,e658aa86,76057f67,5382a6c5,bcdd1a01,6d79d817,80faf650,c0a486bc,ea8fb592,1cd3492c,42c91c3e),
+S(f7738800,b7fdf237,dc7f03fc,43724011,8b53aea4,4d7953d4,276f3b4d,bf5c0ff8,c1de7924,ef8dfeed,c4fb409,f1a15d4c,5e8ab42c,90ea9c92,867b5b5c,f2921605),
+S(5cb07874,ac4ffb86,2da619be,4c8fa38b,e8b261ec,3ec73a12,cd4cf8fc,4f8d5dae,549d1896,4931dabf,ba4553a2,461f2660,87733454,ea8eec6b,f671e3de,60c70340),
+S(5cc85d41,7b2ae9ac,dedb1b44,ce78d8a7,8f56b878,1a4b3af6,635a55c1,fead3be7,66a48c79,301e57d4,54cc8644,d2e778a8,45d85762,2c10eb98,d77eb873,e58bbeca),
+S(f27211c9,a067b01c,7fe7fbf7,7b5d9b0,eb0f2475,9d541457,6eb24ba4,19fd3db8,e26d28eb,89f7b518,e9ae0b88,fadbfb9b,641d3a44,c59c6f93,ec28a541,486e041e)}
+#elif (COMB_BLOCKS == 11) && (COMB_TEETH == 6) && (COMB_SPACING == 4)
+{S(629bee58,a391595f,eb20c534,4933937a,cdb2eba1,86d49f8b,845c1b5f,4ca87182,8dae4162,73c6c068,2e2aede4,76efa86b,7612c07e,f72070d0,dc4486f1,47e95085),
+S(6fd5e13c,a94b874b,28cd574b,726efdbf,143ab108,1089b846,7b5b2ebe,6c6a3c8f,4a4db306,52c9772a,868b2859,57c5a005,d83f6afa,6e65d87c,700da998,ce651396),
+S(609b6576,191514f4,83f5b428,500cfbaf,96871b8b,3348fe5c,1a131768,bb266b6f,90abb9c1,1bf184d2,8dbc424a,bbf74eb8,de4e0582,2ea5dd93,7d1e8b30,e5f695e7),
+S(b5ec0263,27cfd922,23a46abf,a755e6fc,547806ea,333666cf,a43865a3,f4ae647,143353c,cc733d02,617f7764,7dc29c65,67a2e245,aed27120,e5fc11b3,95ffb9c9),
+S(ac1fff6,cd869ed5,ca920544,1ceb990c,ce304998,10e27587,6536dcd8,1d4cd15,67a7a012,3e5ea292,85dedf0a,9f138b80,58a1d23c,2a233c5d,783bec39,b6482126),
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+S(420f1078,27c75c95,d5bc657b,a46cbe2b,415a7d42,ad62cdf1,6c84ee89,22215379,8b257a28,e0b15fcc,ae0b555a,cdadf4a,be93bbb3,a208ee45,77710a9e,d58da7fa),
+S(28859abc,b60a95e6,b26c0996,566bf798,60c1a194,2d3342f7,9655f286,32f9d5df,2a770426,5eeca5d8,87840cab,3923d868,aa7b7b18,f9d19941,738ca006,54ccba6b),
+S(c33c317b,490e2266,2649a021,e87f6596,3897633c,90be208a,193f1d52,28614059,af850be0,d18708bf,d0e1f523,c1a4fda8,9a6c156a,55f82518,2bd99bb9,b999a358),
+S(2333793d,b961d3d6,740fc725,6cf9d833,81b5dc92,85b6d83c,5c343aa8,5baea83b,accc199a,ced3012f,b6db99c4,7a36c30a,f88e7eee,b62c2ed4,1352b488,ba0167bd),
+S(4834aa89,caa9c25,a99ee4da,e4a64c15,25a5d74f,9ce573ab,ff44b63f,c3a578aa,fb189539,448a265b,eb87a268,b71a18db,f12fe8ac,e502720,c83ca156,c1cc7a39),
+S(432cc05f,c78b0d56,e605391f,e4708bda,a1ff3edc,96a729ca,aad3cb0,300c4d4d,6675d8ee,ece8c078,e1bad373,247ce383,d4c65519,4a6aed20,a7ca5eca,34a89c30),
+S(874fda6c,b284ca2d,a216bbda,28249388,88da3968,7f615ab,52c8e61f,b72a1fd,2d7199e2,b0b88f45,18e6eeb1,240b2ffd,a9bfcee4,6f754a4a,3db7959,dfe857e6),
+S(7fe21a0f,3ef67d60,1de05f67,2b163285,a5577948,ee78274b,19fc35cf,2d2f6801,62fb2ade,5e2fffe1,28542038,91a6ea73,aabfa35b,1f7fb000,95190adc,de6663f6),
+S(cd0540e9,efe497b6,2beb2227,a2da819,a1ac3bed,8eae24c2,6e2991c0,a707dd69,446c3218,7d0c9229,d65dad2,1392e4a1,66445386,4a5c1620,bf768fad,20a45c06),
+S(a533c295,74e78024,52218573,66c30001,6159d772,f5bedcff,28d7f7cc,3051457,b61a106e,e0166d54,5e1b945a,f3e4e285,31a34cb8,56a34dd0,cd21184a,9555eeee),
+S(5e144f44,ed88845a,c089331c,eb58811e,4c164e02,5d1758ee,51a7a522,c66deb30,ff95cab7,597cf62f,e1aa8df8,a2cd3844,d71ab4dd,4eb02a9e,6175077d,261e2540),
+S(97487a40,9562ee2,7620fc2b,c5bd55ac,6509d487,8ab41257,53884b97,7c5a84be,e52a282,1430c540,5f1143d0,62b69faa,16592f02,cb9b8602,d52c9fc3,70769091),
+S(906f9ac1,d3db4690,d74771b7,f1940679,b0de7731,a68d7d35,89caae34,c3760eea,6f2be7,2275dd5,1e77a066,b8d3c303,f565cb97,b8fb0dd3,14445d18,876665a6),
+S(4c355a31,d17617f3,5d4066c7,a125b2bf,1d6f77e6,27b585ba,2d271a29,a88c81b1,6a686e69,237b75a1,a1ecb86f,b715e858,35aa0686,e2ef10bb,38b762ca,5646e9db),
+S(15aac1a8,9b6b7629,57375d4e,aad87c9d,e1fc2617,89e57d29,731fe96c,1380140c,2968c0b2,2c3dd83f,3286d37a,639bcc14,3d89e75f,cac1da56,7e07799a,62af1008),
+S(4642f29b,37b87118,65767998,d00b41b9,fca6718d,bfc55785,1c459efc,2ea15037,a1ded31c,be33cc1,425df851,998ddd11,1518ed13,f84756c1,c7cc46cf,3f5e9a72),
+S(9554abe,9e092bd2,c4ff46a0,abd0b7c7,fb73d85f,1c01fd96,83146559,306ea727,89e2c07d,db1fe6b0,9872ce91,66ce9ca8,1124986c,c7e48e09,f80aa3cd,70987711),
+S(1c0977a,a773c56,2e36dd15,58b95fff,d35b4dea,ac464011,ad7b79cd,26227238,e04ce4c5,b0b165e9,87dfef97,d32094ea,3e86e6dc,33a4c96f,c9470336,34b0db68),
+S(71d44171,60361c39,6295e5cf,b1540ef2,1ca046b5,98645a23,e8c9772,ac21be4f,7122d5b,32a654a0,1476a47f,d3317a25,ed51536,4a21253,f4068dc8,14660c55),
+S(d906f59b,4d56bc12,f26d60e6,6fc31733,e5450707,89025ea3,8a6193c8,520ddbc7,cd7f414b,c6cc79aa,4c65b943,ff914234,a9d85cf1,9853be59,2a71fe1d,dbb20163),
+S(11b7dfb3,17dd5c23,6b8084d4,f3cc157f,c25c0e70,8248b472,240963dd,9a3fbca7,dd2c8caa,2a2d14d7,fbec267c,9fe87ab2,8b1ddd92,dd100449,f75ef1da,97d4e5e),
+S(3ef8274a,fca8fbb3,1894d7a2,d1ad59a9,4951b21,328b1e84,ecaa6df9,cc1ef473,2e4f0c04,f5da671d,4a2b641,46ae749,27bc35b5,98a54190,3883469b,3e7874de),
+S(a861fc27,f5e6300d,ec0fbf6c,3315d053,98f90b84,2422992,bdfba11b,1c1c7e34,75a7458,5d98bca4,e3517897,afef848,8e524168,a586d8da,18834171,4b51846b),
+S(9537019f,57d7869,2a358758,47e885bd,1594a426,4412c595,62eea9ba,4ab34de8,21bfd84e,a66650dd,79cc8c13,7217a351,57b9c046,938f20b7,246362c8,6637d5f4),
+S(71c80c38,b1889d4f,507132a1,87af0c91,79994b84,1b816c8a,6d130a,df1b500f,8de1f76c,100e75b5,1572da6,d08c76b2,10cdc447,cf903e0e,2b00e002,5dee0ce2),
+S(2fa9ce2f,59865d10,17880d74,d31cd446,5c28ff56,50f29e6b,d74a810,977ef9ec,6c5a2073,55c0dd3a,b994778a,6bd02b87,80ba8e1a,899330ee,cd8781b7,6e15cddc),
+S(96ca6bb4,bf74c748,75703386,ae02dc29,13329d9e,a5395892,df1c6f57,4a84fa4a,fcb510b6,dcfe8da5,690f8fc9,4dea8ac0,e42af209,35c33347,b088cc79,52e98b1d),
+S(36a066ae,694f2645,25cba884,956ebd46,ae568acf,11664965,63cee00d,a32f2199,5d1e975a,856ebd1a,cb1fe254,101e89ab,ea089e8a,b38bbd0f,1100e914,709fd965),
+S(4922879f,800234c9,63f4b572,d236843,4c4da5c8,ff741982,c3d1e341,841d1309,9b259470,24b5f4cb,97c68d18,f7f8dfca,1e57f7de,63208765,2ce15770,98f35494),
+S(ee27e2b,acf95f6d,dbb5ebae,bbf181bb,43322a3d,6db87e78,14e57a3d,41b581e0,3d6a18a,daf69ae4,88ecc9d8,7d6b1bf2,c8d65544,3f4b45b4,c5a0ac51,7b1dc3ca)}
+#elif (COMB_BLOCKS == 43) && (COMB_TEETH == 6) && (COMB_SPACING == 1)
+{S(e3adcb1a,fe947e6e,7cc4f5a2,df78310a,b235e2c3,bcd75eba,1904de80,c8814c50,e0b27ead,c4bbb9d2,37dad580,6e366674,4a9f9c3d,e024f2bd,1edb11d2,fafc0a22),
+S(612c2ec6,f0e9c4ec,c2200d23,ddca77eb,d003be35,61e52b1,890bf846,3bb53ea5,9e944d7b,dfc7a952,c1c5ee15,485d7199,dda19551,2d729628,c215a9e0,285f656a),
+S(42053dc0,9f90a7f7,86feca60,d68a5c3c,789e44d2,3479aa13,2d1a427c,621373a3,b338f891,f3930ec7,738669bb,3a29ae2d,637be08a,954f2a8c,acb661af,a660bd22),
+S(4d227ea1,5194ed57,10f8ea4d,a639be04,fa68ecb4,f3d2d9c9,43ec32f2,80f74051,28a94075,bda4c195,40c20493,b5391df7,166b1264,b957fef9,683cfbec,4c6e6875),
+S(8ec4abf4,d4db3b0,2b0712dc,ef54a405,54b6cac9,3f88fa9d,d8cad4c0,9b94eb1e,4e37e159,517346ee,17e948c4,a17912b0,b29c303e,497cfb38,16796752,99aaf9e8),
+S(ab186398,117fb83d,db8b9392,cc888fe2,50d2f604,5a0c3f89,92d8a82c,382175c0,79437224,b3b1604c,fae64902,e3030448,51ef17b8,9af02d7c,54a92c34,7fa2abda),
+S(2bd09ae7,1e8d85a2,ba550bf2,9c1787a2,3d2c8985,e2ed07bd,1d39e7b9,8ef8135,ddaebb19,195bfd6c,a44ce82f,b7f3c65a,8af935ae,52e2d2fb,33cc231d,c4b16082),
+S(e6da6560,c8265e7c,8f62edca,78dc739b,74bd6543,44a939cd,bac0f489,12b920af,147f5ce4,a98377cb,981dfaf0,1a1e4740,238f1c5d,ee69cfff,a54f3aeb,e53980eb),
+S(7df5abfa,d6b46a37,30bd5892,69edb6fa,b70a0d31,936c0787,407d5d6,96506263,bc5cbafd,1f5fee67,1aa449ff,bacefc67,cf7c529f,86100d7c,a8160e4c,376c76d4),
+S(ad672823,cfe3ac01,50038d30,81a1a109,d8629b4a,a4e26779,373ee0db,44a466d9,c288397c,f91157e6,770c401e,dc84b328,87b22534,d11e11c,c8415a4b,743fef9b),
+S(72032cac,3177c280,ceb3076d,7f510405,2413706c,956ecf38,acf410ad,a12473a6,8bbaf50b,95797824,2994e6d0,a4bf6d07,149792bf,f2a74847,1095f845,bb332036),
+S(36a1f78c,3bebf8c7,1fae5e29,cf08485d,d9debdae,348a20,ad84ba5d,4308fec9,842f57e2,e900d07b,eefda7e5,9dc40139,c5deefcf,11c07c42,4629c59d,593e01af),
+S(5f418454,72e80d51,1c1b8bc2,b6b89224,9119ed43,5b915809,f7b26d01,8427f579,dfc29fdc,f3c65221,a6615262,cebd9a14,acba91ba,cca22ec5,d84303cc,1fe0085e),
+S(5577ced2,f6bf41f9,503aa4a7,c0060fae,6d33cda6,e3c8ec55,1eaec315,bb91fedb,858ded64,6c3d6231,87c0967a,84ee5253,2b21c4e5,b329bdbb,76f6a6d4,93cdcb4b),
+S(bc74b56a,c94ef36f,2b356bc5,dfd11d2e,7a371087,653ad607,dbfcfeb8,27abc502,d57d74e7,39e758ee,96a422e2,f1fa61f7,4f6308f5,71e6dca6,3b0b0103,e83cf1f3),
+S(727ed91f,be4c5086,50a0d365,b28ae4aa,c9434c0,735fce3c,7b3ebb42,f4be911a,8c595547,5e627c22,6bfa855a,22ebbc56,d3d0b331,9120d8e9,13bed868,7d3bf331),
+S(6286bb90,71f8887b,c4fbb3f0,a9ecb19e,fcdd2cf1,5e286da7,1bb60c9b,5ff5e644,73731ec5,ea3e537c,c6060ac5,dde716b7,2aef4117,ba747b12,1c26fc9,eddbda74),
+S(3905682b,72282a78,2b8d8dba,72cf147a,de0025dc,a21521e1,ea989040,c248852b,5da3bf52,dceaa14a,a3534068,c05bb015,2cf9c722,cc80c56,cf828ace,d96fc390),
+S(561a2ccd,ca12b67f,dad28ee2,c3cee78a,cf811766,9e4a2543,c81b1ca6,eb4bd16e,3b386a9d,553c2746,893477f5,17a05e99,bbc8ddf0,896249e3,85e406d6,a57b9ed9),
+S(75bdfa06,6a1a42a7,50f283e8,3ec91cc0,a5b68829,6e6aa24a,28a61e33,65f378e5,c73224ec,797d6736,c1a541ab,34523d91,e1ec3754,fe7fed44,474f9cba,29f305e5),
+S(e881a840,847aa2e2,2417cd3d,3e798c56,1e630290,5dff6bf7,754d9419,98d401e3,8816d775,f1555452,f624e45,710a240e,90fc5e23,7536d217,cf555349,b5e31bac),
+S(1fb527e9,4e9c70e8,657de745,8b81ef9e,e3c2b4e0,128a675b,f7e28980,e18b201e,bab00a09,1145407e,693d5353,7818bd30,49e1f364,757d228,58b8aac5,416e3e78),
+S(1c2bd878,b94169da,722a9de0,c4e317ce,a8802aa9,60458301,11a89d1d,9de4270c,95b7d99,bc3df31e,f0dbf17a,a09ef148,71ae6c5d,870ebe75,1f52aaad,a48dfcc5),
+S(41f7fa0a,9a59513a,e221e3b8,4b91995f,c9d40eb5,d120a6d8,e663452a,d92099c8,813dbbe,92ec4b62,25d1cc5e,5820ebb7,dbdc2964,d5dd1ab3,deabceb9,5e793d32),
+S(e5cbd627,89c6a843,25a24407,89b88dbb,1dc55afb,9e8296e6,bb8af7de,57a50e60,2cf01cea,ae4f4fed,46c4efd7,86ca5e4d,ef5af524,e9393d74,e9dd224c,604b9408),
+S(eb3bc68c,623b1f46,ab905412,c7f2d588,fa25abb7,7a7bd782,ba9bb3aa,c05a70ae,df9f46e0,5dc1d126,2f72ef3e,8db01fbc,11915af6,4aee0c51,da1cfa,b4d15ef0),
+S(5702fb8a,2602f41f,52699f68,8d4b005a,128762e1,1dfd13fd,22ea751c,cbedb2ef,a77105b3,7af534e6,46f58c3,b02543fd,9e0666c1,58051952,a61f8389,73f5847),
+S(66954eca,5434263,4036fc7,fc0fe33,81f5195e,88433bc3,2c5a8a60,341e2859,d8b1b14,40e9f123,f39c8658,f9d64e7d,fe4071f0,ada879ea,42eebad6,4d37f4fc),
+S(592152c3,98d6c719,636a03a6,dad64246,a5a6814a,a62c156b,ce5332f,6759b031,8d22d1e2,d93dcccc,889f3b6e,dd5e2098,2f5586d4,bac06842,d689a37b,4b845c12),
+S(5699b93f,c6e1bd29,e09a328d,657a607b,4155b61a,6b5fcbed,d7c12df7,c67df8f5,c147ee87,14325497,6b2e534c,e6902748,2a5c33dc,867732a5,8338f05,73368388),
+S(c62c910e,502cb615,a27c5851,2b6cc2c9,4f5742f7,6cb3d12e,c993400a,3695d413,e80c2522,898d8a22,2c4dc0b9,8dc9ce88,740fe252,5144656a,c30f978d,dba83c1f),
+S(0,0,3b,78ce563f,89a0ed94,14f5aa28,ad0d96d6,795f9c63,3f3979bf,72ae8202,983dc989,aec7f2ff,2ed91bdd,69ce02fc,700ca10,e59ddf3)},
+{S(efbbec14,ff6d7e18,a8015d68,ba3ceb19,d4cbfbb8,a1bbc09c,ce755a23,e9d4b3f4,a76faa08,2b02b8a4,405573c9,5ac067f3,ab936127,24bfc14e,a27f923d,3adf0133),
+S(f02f6744,a0ee7b0c,7bf0abb3,c7ec0a5a,3275d109,92be2893,7e9ef649,23fa932d,955f3630,c5621787,13e6d8f,39efee26,d91a0947,8da36db9,4ab4a89f,aaf9019a),
+S(1c6f9f0f,d6ecbca1,fbcfbe9d,1f3d2476,dbd3b6ca,ac8e18a5,949b993d,8c0063e5,e3e3770e,33081dc9,5125d69d,c631450e,5494d21b,2ddf48f1,fbc3169f,3cc1eb91),
+S(2062725b,739b793d,c9798397,dfc7b1a7,24ebe8f7,5e5654df,536adff1,25970841,22f3e3e5,c0201265,5e6d8e58,b8ba633d,9a9216b5,445a7f78,a2605688,4a5b6092),
+S(57ffda66,e0c29448,7a1570f7,e2f5dc58,ecf9b906,5f374046,5bd1734,841785df,22ae8728,a8800436,1264c380,3beddb65,a9dee575,6f0cfa97,c01dc047,3c806def),
+S(4b49fa7d,463cbb43,b14928c6,7b3a85a6,8132ad9c,427d3cc3,bba76d1a,7c9a69dc,7e7e3133,3782b30,5c7c3bd6,94e3c306,b3f9829f,86f76f08,d44b1a76,a207f2c5),
+S(411a3b18,c9b638fa,38a0e811,ee370f34,5c9476db,61df1843,863d6d7f,4e803ccf,bb306f97,e97e492d,e74afcd0,a771570a,8210b51,9e61df78,4e6e97e0,ac23e109),
+S(c8227510,49de1572,37afdf55,d175196d,5d315001,3670b478,a0255a4c,ebe95075,16be5950,a3f12be9,5905fb52,8d5bd93,23eb5908,211d2e8c,26204b32,556c5c45),
+S(e46bdb74,8692d0fa,e6fc9f50,6685487,31d61f8a,5717fb88,4e1f7a41,70e4997e,35398e06,48bea42,cc48fa4f,2805efbe,6bead663,c054eb08,2c15ad46,c0611052),
+S(d18293cb,d0902dab,e4c014e1,22969601,84aedbbf,a01526a8,6978e144,88ca794f,3a5b423e,32c1d2f4,bf754f42,9da3c9b6,84bb798c,ea73f637,1777ba77,1aae6086),
+S(7b9cbbfa,a53923fd,e9f50845,3130101,3b17548a,8097433,79d3a526,d1c90c31,3fd7b71,5b6801cf,30fe22a9,8b7895d8,1b483f6e,9fdefe7e,6c59fec8,fb9786b4),
+S(ab6e185c,be9ee393,5ad6278c,167396fa,aa4d936,80524d16,27ca8e93,48fce67c,7154007d,3f96ce60,d09499a5,1262c7bc,3ab5e9aa,929e0594,994a9671,8f912987),
+S(56ffb418,8b9c9c13,4a110c03,8df8636a,71141ff9,8448cb79,eb6dece8,a28b65b4,1d728ed5,23ab821,ac0c40e2,b9348e27,191536c6,79a73835,8bd9b3c,b43dcafe),
+S(bdba1eff,bf6af786,dca1da26,cc226102,1f95d56f,245298c0,b87a40e1,fa9a0cbc,fa18673b,41f765b8,25d13f2d,7963f1c6,b3308a14,b033fecd,e1d0d597,583440b2),
+S(d9a4a7f5,5b3af93b,1c49ffa7,4f8154e8,23aa1477,16b16441,39fbc86b,2d9346ef,19ca90e7,538ac3d8,a28e1aad,5d8b1dcc,756f8a84,240e5769,a0f561d,f53289b),
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+S(1c5d4ac6,91d37d0c,9db5e071,c809a59e,99056263,fbd83028,ee9530e9,c2b3f3c9,b98c7be9,7a2fb196,3d3d4a75,4f7fecce,2fbeb8fd,cf23c229,73b6875,86bd276a),
+S(3dfe48e5,2f055be1,1db79fa4,501b44d8,f5ae8447,c5a1293a,a79f683f,1e1e9bf,2d7e8303,b988fc17,18c9b64c,1c03373d,27fd0c32,13c26e6c,b684ca94,49f79d5e),
+S(adc4251b,c3ef6d5a,a4d6eb22,46ab2787,bc835b65,1d17ceae,489f181d,57d37248,4f0c489d,1c3a1814,a2f9c1c9,d6fe908f,4623aa44,ebaf4143,79fb8352,15234014),
+S(edfe16b2,db401803,11f98920,7a2fef7,d05b2a3b,b676899f,9c6e2192,d38f93e0,1196fd0e,35a24c9,6b28b055,b4fa2f2d,a4c2aeff,3b91dd81,c2fe86c1,1d6bf682)},
+{S(b4b57b34,6e1b41b,7394e655,e059cc93,44c5d83e,f0ef17db,2789db5d,13777b78,6fa187a7,4d983b7e,cea6a268,61039430,63e599e7,cba73144,fe3eb23,677c6265),
+S(9937238,7300054a,1a8713b7,6942f003,99818b28,6c6fba5d,ca60b9da,1aa7767,6c003e1,848ce30a,65601eb,e7b76acf,b2e122b6,882d7439,f463c042,ef1b31a),
+S(ebd177f8,b5757665,58851c7f,a7ada38b,e3596080,f2679181,f994efd3,82714784,d0fe8eb0,97c852f7,b284d5f,bd81f77f,79c35af7,cc30338f,4e63211e,9e20a244),
+S(367ef258,b279f923,a18215b7,67d396e4,c6bc874d,2be6b369,b01afffa,2e041741,bd961242,2452eddb,33831dcf,fb3a0273,30ef141f,6db77d91,5bec2ecb,553b6e6c),
+S(d89f40c4,f752cff4,5bae5762,37f5096e,f27d46d0,d934d4de,c3011a28,59464e8e,9d32661e,e2319d6,f6427ea,a3014b5,cf98306c,666c4a9e,970dba2e,65e04886),
+S(ef6ff862,1d84c5d5,22e490f4,db21181f,a17bafea,3e097868,4f1f0215,759772b9,ae006f11,aa85db2d,3624cf51,ae319ad2,8b4970e7,eac03301,1eb15db8,dc59d62b),
+S(8b0a1b1b,d476bbfb,6da1d071,68d3a988,3b49802f,8ffa04a3,bbba1313,17c67a00,d8c74ae5,65c38597,8d9fda2e,dff6b932,1512e40b,ec5b62e2,59d4d81c,9b657b55),
+S(9aa9250f,12ffde38,21384434,849d7eb7,bcafbae5,9a3b861f,68a3addb,d75d3715,19b4b1a8,8d8bfeee,38b54564,30d5f73e,ed0365fe,49092d4a,2f52fa12,b65e3ac7),
+S(aaccc00f,55e96f0c,e66d9b43,12f9abd2,6772d8b4,30a6c62,edd2aab4,97acbc22,5af203cf,97d11147,82374056,f012f5f9,2825476a,820dce2e,6e1c4b33,cef5337c),
+S(43c34546,2836b544,ddd6e432,6aa19b4a,9de7fdfb,86f43cae,ce98ce7c,32b1ccaf,dd518249,f1fbc1c7,1f905860,17a6f60b,15be97d4,18c66d42,f4f9adcd,d722c096),
+S(9a38eb25,935441ab,8983097a,d58c821f,d784f091,5f85dc26,3f0c020b,b80c39a0,d8e6dc57,41e4ba5c,576179e8,9a6dcb4a,bd7178c6,13a1100b,e2bd731b,f3e819e2),
+S(6b10527,204a4f7c,e8afcacc,fe771634,376f18da,f12774e,50f23a90,9efe0223,b443a451,529b4208,c8c98904,f5eb2ee,2e2ede2d,80ca50c5,aa29b95a,714181a),
+S(1a88fecc,71d7550a,abf7faf0,8e884e95,835f6dc8,1815d2d7,7dab66ea,b238d6b2,82cf6711,1dd38ff,d0daebbc,ea2c064b,17b6b21d,34804f93,4a037936,9edec692),
+S(a6b1751,f30507fe,5927b6d4,a92ebbbd,77358c02,9b750d05,a56e4d41,efb99144,ccf7c048,a2a0983d,fdcccfd,a071b80,e8035866,c479ea3a,3bbe7c80,12dfd618),
+S(e186601e,8b545292,f23ae7fa,4cadc80f,1fcaa1a3,430ddec6,cfd2af47,c835cdf9,fd471f16,7c3683c9,2e5fc0c2,89b646a5,c8ebda6d,5b6da213,d862c3f6,2c292e9c),
+S(91b3935,d8ce2b80,c179ee0b,87850140,4c418c7f,7cf94e4a,64b9fc9c,e396a093,45a5043b,8184546c,9083982f,550807d7,d61fe677,ce73ef21,9b3aa573,97c4eca1),
+S(3fbe61fd,2a387654,dfc428e7,dac09e91,5e1ae7d6,d3794288,743f2535,20858ef5,206fd9a0,e3265118,e0a6475c,4df87e43,cc7c8898,59d8aa08,23b6dfff,b68b34d7),
+S(31a35020,697d9d52,55476289,ce4fcbdc,4e1e0690,c2c36d1b,a4f4640f,e4c5ba18,91f660f9,159d463a,857f08ad,fc3c5ddd,804507c5,92f73de4,2ee44555,da538553),
+S(7dc6b83a,10f26e71,e12c0bd,7ebcccc6,61b4394a,68f576fe,bfca1c23,256e8aa2,b4796977,bd386b98,f3e2fa8e,798b6548,fae52a80,40bb12ea,7e6ad675,64fc8736),
+S(67a9c3ff,9c7b99b2,5318ff9e,2b85ee23,ec244655,8042ea8b,d880e23e,7d3ce221,a7bcbbbb,895ca7b1,847a43fa,98809ce4,98016123,bbb3c099,7d34debd,cb023f8d),
+S(36602997,eba2c6c5,aab4cb65,8d4efd46,65ab3965,f643ff66,831646dc,f6443bf3,c82d0e80,ef775f9c,7ec7862a,e3158556,a57038d,e6850dd1,e349629c,2546239),
+S(9eb9244b,299bfd76,f63bb140,ae2f42a1,4af1e072,83f8259f,6478ac03,d411df24,e43f91da,13c2ba21,a9d17d2f,7a8a629d,9051346,93a6552a,538d590,9d2bdd38),
+S(ba4450fa,27d57993,3d949a1a,66013906,7d1a9716,6794993d,e45d9426,b4bfc5ed,8e3f3b9b,d8cb8210,7a5ae2af,92b96259,b73633f,6528ac04,20c3e101,6bb6d8a8),
+S(e6d5335f,b67abd36,2712c7fe,575ee769,53d488b,236e8589,5664fb04,7f385248,9e255154,e070a5bb,e98e97f6,281fb999,a75e68ea,7681fdf6,fea093bd,919aa5a4),
+S(63c099a9,300a331a,3bc4348a,a373e514,c84a810e,1ea8a8d1,4ac8d7cb,818eb534,ed7d4029,3cc4a086,b1d40c24,6086109,a02dbcb5,a864777,27939024,6fd6bf91),
+S(7088617f,66cd93f,8130eaeb,874c3f77,3bcb0daa,78923b70,a65512a2,992554dc,5a3ff995,3c712066,291ac4a2,dfc2573e,1d0aed56,75ef526b,b15f61b0,d20f8156),
+S(cc354aaf,746d756b,9387730f,2f12b999,4fcd815c,6d25cdab,2e1185aa,4aa639b3,fb1dead9,4fd76859,1aac8d79,5c337924,dc155fbe,5cd5c953,4d55ee31,f6d284a6),
+S(e7e47c3a,e2bf4307,7f33ec3d,ac1ae2a7,5c669e61,e248f588,590cfe07,3e2186e0,46e9c4d5,4429fdcf,5efb375e,18f46cc8,3fa7a403,6013777f,e450e228,aebd4cd0),
+S(c6ed5e63,28ec31b1,37041108,42d4ac23,fbb883bb,349d88db,1d747cf7,325fe9cc,21b8bfa4,b62807cf,d6cd11ed,a38084d5,7bb068d4,9f0dd30e,f3f431e2,b57022e4),
+S(331924c7,50b3417e,48e279ff,6ed7f3dc,ba2e121e,9f69f8fb,e64093b6,c38a8cc6,357086be,e4cc0fe7,d45a49fe,41d004ce,80466165,316164ab,3b171f03,b9a7841f),
+S(b4319cc9,f3e0d3b,313626ae,5385796b,c49b300c,88ba4553,dec0aa4a,77829372,b8f82bb6,6590afd4,48501f,63de3a5d,8f84edea,35c1ee44,88d6333e,f522a808),
+S(da433d5e,11ceccc0,abc5c762,6ce7bab4,2e89b221,f785c409,282de545,f3fceb19,1b67242c,de57efcf,e214423b,506a1ade,718803d2,6dd84d88,97b18ede,590a2fcb)},
+{S(ebae7464,ece277b8,309d056c,cf3775e2,11a77aa,81c316a4,b6b7b953,6f90f539,62a4d6a2,95fdd811,f2051715,322f17e5,1753c9d0,835ef9a0,3e8dc9f5,c69bda31),
+S(5b20700c,1af63394,a3e4cadb,b0ea682e,19cf495a,b908418a,d41f4c6c,ea4477f0,8435d15e,34b03a22,ca89c73d,326c2f88,142d2e23,8964ef6d,99287125,79738f78),
+S(b2f25f91,138b974b,561328c0,92f50fdf,8a694004,fd4879d0,12a4a6cc,c8059d1d,d9ec0b2d,b8e81b2,f6feaf55,9776ff78,cda3401b,47826de0,ca06e579,9d866c09),
+S(64e79790,7783d6fb,321eb785,acdeb2ff,4628270,fec3342c,527c8db0,a34c516e,c0c4da5d,abf3da9c,a8613f82,ca28e84,a1a18376,c9967c08,aaf70bea,7a2f34c2),
+S(a50cae84,a08f4f32,4984853a,d4c6bdaf,77eaa788,9cb8fe95,72fd56e,9078ee73,120ecbf,76e47b38,503067c8,36853003,60ed261a,40fdf440,161ef2cd,19786b93),
+S(76ff3ac8,80a451a9,6741fc70,82bc4c82,7bd51c08,95eea8c8,b422b8a9,96ba4794,25555d71,d4313a60,b189a154,58e0a40,c643c204,277334e,966e2abd,3a23f6c3),
+S(307e5caa,8b708760,3d9f845b,b78f4f10,72c49c10,9747f91d,192f8d6e,70c0f4be,f5992f76,37167e1d,55cd31a6,1cdb4756,85eb1503,34fb6009,e0240a18,fa8302b8),
+S(d8e62e47,b28fd165,4d420137,884dcf21,c10cb159,d9885843,da34b0d9,d09b2758,675c75b4,b903ad28,2055a71b,2c470e2b,1dce69bf,ecf160cf,3a027de2,55b723a9),
+S(ec5639c7,73dac23d,3008dabf,732dc005,3154703d,26ee3bbc,7689286e,4a73e39f,aaa5ea4a,2cf5c23d,57cdd0d8,8accbbf9,9fd2c213,97bb45f8,83547876,3aab1248),
+S(3d928ee3,2065557a,27722f08,5202f48f,40917ed6,c7ac1963,2a122226,8b0cb9df,ece112a4,e7a05ad6,17c2fd83,76f89102,9eb94eb0,930fb23c,a342d7f1,f021a0c7),
+S(616228a5,cc6c3a92,cd694cec,4b2b8574,5dfffa90,b2a36d8f,32eaa6cc,2530de51,50d8d140,4d506a78,700f8e82,967b36a5,1b4de644,a8e22271,d509c8d2,4adf3148),
+S(6f85f308,e847b145,c13a07be,bebdd4ba,6c138939,6afd8670,733f44a8,969406d0,864bcde1,be36c9c7,b7e04ef8,cd2366e2,b3c22902,5ee7efce,d005ef5b,ff7dae2b),
+S(f3d1ecc3,53a82621,1bd78f0f,aa029076,c6ca779,9bdc54b2,128fa3d2,aec00c6d,75aa0cf9,fd0b7bed,19183e34,58142f66,c94a5aa9,3915435e,ae51c1fe,96625ccd),
+S(a5918de3,f18cd8d1,2a234f9f,3a19fcaa,2d83671d,ad566f16,8aea2b1f,b9de41b0,c515dda6,43c0f6c8,d8fea16,5d595917,16b7f521,43d3b941,f28585ed,8a49c06c),
+S(3c49e2ef,1d2d3464,81e05fa0,33366609,1615ebcf,535f68,be257f35,7bd91592,57901e0a,c8af3a31,aa404987,72c903fd,175c9b00,5c7458ee,ed667f11,57754132),
+S(6c45ff2,c0c30320,83c343e6,dc80b4f7,bb64502a,52f412ff,ada521d4,a544a9f0,e9936037,f1e641eb,1cd6f801,a25271d3,cffe67d,c9bd7162,babf9855,9628a9a8),
+S(66df5d95,acdf4260,ee0e465c,e3916d79,395df522,aa086aeb,6c283bb7,18296d46,cb1f3deb,8aea0337,625f46dd,903416d1,5647be91,1633c4c0,cf0e629a,413476fc),
+S(428bbba5,ef351762,9eee4059,a3339213,40c7fee2,5ccb051c,88d75e53,ba618858,ef18809c,28227ccc,115876df,b3f378cd,374c0670,2c658501,7990e767,922c3999),
+S(e8993820,d782657,ed8badc2,d515e360,df336730,860ef49e,65ca58dd,1a385815,feb41189,16c7e8f6,53c7f5a6,5fd7b6be,7a029814,149c4645,847073be,770959de),
+S(2b77e42a,63502244,d6c7d1be,54b7857,9e2742d2,7143d689,fa3f70a3,5986ccf1,721e9da8,bee88ad4,2155dc9a,28be505,86648378,1d6af5b1,382cd47d,771e6428),
+S(acffce3a,ed6beea3,2ad71633,21e1ca53,6f69ce76,fb5cd394,9d9dcc14,bbcee96,5384c97d,eac946c0,afc85b54,f3a56b79,fe263bff,63e1894c,6d52ef1b,9b456602),
+S(e13d8d4b,25bece8d,90a008e4,c004824e,223b06b,7cf65ebd,1215e910,2e67b639,3e92b1f,14cbee57,9640b377,6ed5938f,9aee0e11,b139a678,3f207cf4,6dd7e20b),
+S(d8f356d9,d2498eaa,b3fa12a,cb64562b,dff3e270,c7809a31,25a9ae65,9cb1f3c5,a5403cda,2d499a7c,7402b57c,c9f99e3,64f5085a,91fd8cfd,8a67c7a8,dbce04fb),
+S(350062b5,22fb5d0a,8c79a5db,29e92216,79b9fbc6,3e1f95ca,e7d087f3,fedffc49,74cacf57,5e79c85b,d7e77a40,796e8750,a3ca57f2,a47cce8f,3d2de02d,b014df0b),
+S(c159e630,9ab23135,58ebfb6b,22edaf93,eac8e16,77cd9f3b,1cd9492,20bf8e54,99244263,53f32608,831c6d74,da51d61,c344defe,f4c1e401,6a3db44b,4c57f4ae),
+S(9e568b70,36a2daa2,fe7a3a52,49c56eb8,3fe4afa2,decebd60,c6c3245f,17bc6a13,b6643644,274eab9f,5e83c598,14978681,17c5a078,765156ae,3cb65fd3,830e06ae),
+S(9bee7471,6b6c1ff5,62c1bc36,57a65de3,99a91d72,115703f4,4c3819a1,87828478,bb23a3da,ed34028a,7d39a7ed,fe2e23b,73e085a2,d6c2e51a,ef2a2076,a7c902ad),
+S(c430c044,91228a7a,ea835698,ecf0f552,9aeef469,a36305cb,52902ccd,1c897473,40d0ee56,61cca82,80d11da,bffe97c4,f10c93aa,5e07224c,154b666e,bcd58c74),
+S(2be073f6,b294a01b,eda0b0db,6832e4bc,23ef3889,7a859853,5ee726ef,ae0f15b1,6153f846,349c2a98,26008065,8be2a7d8,311a5e70,cc310ff8,7935a901,8d575813),
+S(2934de46,a6d921f8,720567e6,b46e6362,36a7ed53,483b13ed,20958452,3225accd,5979698,26927cd7,abfe4c57,c53fc72a,48b71679,174c749d,aecdb057,e6a2d961),
+S(4e9991b,92fa8c4e,4e8efe45,66966073,319e80d3,a54d4b7a,b61cfcc4,7ddaa5d5,9d03ea22,21d4d80e,261952e2,73f6a8cf,c31f6091,e5aa0a8f,2281ffbf,1345df9e),
+S(ff3d6136,ffac5b0c,bfc6c5c0,c30dc01a,7ea3d56c,20bd3103,b178e3d3,ae180068,eccdc641,7b1bfff1,bf2fc8d3,2269523e,ab89890d,bffe0a19,8f594490,e7739bb8)}
+#else
+# error Configuration mismatch, invalid COMB_* parameters. Try deleting precomputed_ecmult_gen.c before the build.
+#endif
+};
+#undef S
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult_gen.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult_gen.h
new file mode 100644
index 00000000..283738a5
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/precomputed_ecmult_gen.h
@@ -0,0 +1,26 @@
+/*********************************************************************************
+ * Copyright (c) 2013, 2014, 2015, 2021 Thomas Daede, Cory Fields, Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php. *
+ *********************************************************************************/
+
+#ifndef SECP256K1_PRECOMPUTED_ECMULT_GEN_H
+#define SECP256K1_PRECOMPUTED_ECMULT_GEN_H
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include "group.h"
+#include "ecmult_gen.h"
+#ifdef EXHAUSTIVE_TEST_ORDER
+static secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS];
+#else
+extern const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[COMB_BLOCKS][COMB_POINTS];
+#endif /* defined(EXHAUSTIVE_TEST_ORDER) */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* SECP256K1_PRECOMPUTED_ECMULT_GEN_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar.h
index 27e9d837..70f49b1c 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar.h
@@ -1,40 +1,44 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_SCALAR_
-#define _SECP256K1_SCALAR_
+#ifndef SECP256K1_SCALAR_H
+#define SECP256K1_SCALAR_H
-#include "num.h"
-
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
-#endif
+#include "util.h"
#if defined(EXHAUSTIVE_TEST_ORDER)
#include "scalar_low.h"
-#elif defined(USE_SCALAR_4X64)
+#elif defined(SECP256K1_WIDEMUL_INT128)
#include "scalar_4x64.h"
-#elif defined(USE_SCALAR_8X32)
+#elif defined(SECP256K1_WIDEMUL_INT64)
#include "scalar_8x32.h"
#else
-#error "Please select scalar implementation"
+#error "Please select wide multiplication implementation"
#endif
/** Clear a scalar to prevent the leak of sensitive data. */
static void secp256k1_scalar_clear(secp256k1_scalar *r);
-/** Access bits from a scalar. All requested bits must belong to the same 32-bit limb. */
-static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count);
+/** Access bits (1 < count <= 32) from a scalar. All requested bits must belong to the same 32-bit limb. */
+static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count);
-/** Access bits from a scalar. Not constant time. */
-static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count);
+/** Access bits (1 < count <= 32) from a scalar. offset + count must be < 256. Not constant time in offset and count. */
+static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count);
-/** Set a scalar from a big endian byte array. */
+/** Set a scalar from a big endian byte array. The scalar will be reduced modulo group order `n`.
+ * In: bin: pointer to a 32-byte array.
+ * Out: r: scalar to be set.
+ * overflow: non-zero if the scalar was bigger or equal to `n` before reduction, zero otherwise (can be NULL).
+ */
static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *bin, int *overflow);
+/** Set a scalar from a big endian byte array and returns 1 if it is a valid
+ * seckey and 0 otherwise. */
+static int secp256k1_scalar_set_b32_seckey(secp256k1_scalar *r, const unsigned char *bin);
+
/** Set a scalar to an unsigned integer. */
static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v);
@@ -50,13 +54,6 @@ static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int
/** Multiply two scalars (modulo the group order). */
static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b);
-/** Shift a scalar right by some amount strictly between 0 and 16, returning
- * the low bits that were shifted off */
-static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n);
-
-/** Compute the square of a scalar (modulo the group order). */
-static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a);
-
/** Compute the inverse of a scalar (modulo the group order). */
static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *a);
@@ -66,6 +63,9 @@ static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_sc
/** Compute the complement of a scalar (modulo the group order). */
static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a);
+/** Multiply a scalar with the multiplicative inverse of 2. */
+static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a);
+
/** Check whether a scalar equals zero. */
static int secp256k1_scalar_is_zero(const secp256k1_scalar *a);
@@ -82,25 +82,24 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar *a);
* Returns -1 if the number was negated, 1 otherwise */
static int secp256k1_scalar_cond_negate(secp256k1_scalar *a, int flag);
-#ifndef USE_NUM_NONE
-/** Convert a scalar to a number. */
-static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a);
-
-/** Get the order of the group as a number. */
-static void secp256k1_scalar_order_get_num(secp256k1_num *r);
-#endif
-
/** Compare two scalars. */
static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b);
-#ifdef USE_ENDOMORPHISM
-/** Find r1 and r2 such that r1+r2*2^128 = a. */
-static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a);
-/** Find r1 and r2 such that r1+r2*lambda = a, and r1 and r2 are maximum 128 bits long (see secp256k1_gej_mul_lambda). */
-static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a);
-#endif
+/** Find r1 and r2 such that r1+r2*2^128 = k. */
+static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k);
+/** Find r1 and r2 such that r1+r2*lambda = k, where r1 and r2 or their
+ * negations are maximum 128 bits long (see secp256k1_ge_mul_lambda). It is
+ * required that r1, r2, and k all point to different objects. */
+static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT r1, secp256k1_scalar * SECP256K1_RESTRICT r2, const secp256k1_scalar * SECP256K1_RESTRICT k);
/** Multiply a and b (without taking the modulus!), divide by 2**shift, and round to the nearest integer. Shift must be at least 256. */
static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b, unsigned int shift);
-#endif
+/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/
+static void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag);
+
+/** Check invariants on a scalar (no-op unless VERIFY is enabled). */
+static void secp256k1_scalar_verify(const secp256k1_scalar *r);
+#define SECP256K1_SCALAR_VERIFY(r) secp256k1_scalar_verify(r)
+
+#endif /* SECP256K1_SCALAR_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_4x64.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_4x64.h
index cff40603..70096429 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_4x64.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_4x64.h
@@ -1,11 +1,11 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_SCALAR_REPR_
-#define _SECP256K1_SCALAR_REPR_
+#ifndef SECP256K1_SCALAR_REPR_H
+#define SECP256K1_SCALAR_REPR_H
#include
@@ -16,4 +16,4 @@ typedef struct {
#define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{((uint64_t)(d1)) << 32 | (d0), ((uint64_t)(d3)) << 32 | (d2), ((uint64_t)(d5)) << 32 | (d4), ((uint64_t)(d7)) << 32 | (d6)}}
-#endif
+#endif /* SECP256K1_SCALAR_REPR_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_4x64_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_4x64_impl.h
index 56e7bd82..807b9b70 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_4x64_impl.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_4x64_impl.h
@@ -1,11 +1,16 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_SCALAR_REPR_IMPL_H_
-#define _SECP256K1_SCALAR_REPR_IMPL_H_
+#ifndef SECP256K1_SCALAR_REPR_IMPL_H
+#define SECP256K1_SCALAR_REPR_IMPL_H
+
+#include "checkmem.h"
+#include "int128.h"
+#include "modinv64_impl.h"
+#include "util.h"
/* Limbs of the secp256k1 order. */
#define SECP256K1_N_0 ((uint64_t)0xBFD25E8CD0364141ULL)
@@ -24,33 +29,33 @@
#define SECP256K1_N_H_2 ((uint64_t)0xFFFFFFFFFFFFFFFFULL)
#define SECP256K1_N_H_3 ((uint64_t)0x7FFFFFFFFFFFFFFFULL)
-SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) {
- r->d[0] = 0;
- r->d[1] = 0;
- r->d[2] = 0;
- r->d[3] = 0;
-}
-
SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) {
r->d[0] = v;
r->d[1] = 0;
r->d[2] = 0;
r->d[3] = 0;
+
+ SECP256K1_SCALAR_VERIFY(r);
}
-SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
+SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
+ SECP256K1_SCALAR_VERIFY(a);
+ VERIFY_CHECK(count > 0 && count <= 32);
VERIFY_CHECK((offset + count - 1) >> 6 == offset >> 6);
- return (a->d[offset >> 6] >> (offset & 0x3F)) & ((((uint64_t)1) << count) - 1);
+
+ return (a->d[offset >> 6] >> (offset & 0x3F)) & (0xFFFFFFFF >> (32 - count));
}
-SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
- VERIFY_CHECK(count < 32);
+SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
+ SECP256K1_SCALAR_VERIFY(a);
+ VERIFY_CHECK(count > 0 && count <= 32);
VERIFY_CHECK(offset + count <= 256);
+
if ((offset + count - 1) >> 6 == offset >> 6) {
- return secp256k1_scalar_get_bits(a, offset, count);
+ return secp256k1_scalar_get_bits_limb32(a, offset, count);
} else {
VERIFY_CHECK((offset >> 6) + 1 < 4);
- return ((a->d[offset >> 6] >> (offset & 0x3F)) | (a->d[(offset >> 6) + 1] << (64 - (offset & 0x3F)))) & ((((uint64_t)1) << count) - 1);
+ return ((a->d[offset >> 6] >> (offset & 0x3F)) | (a->d[(offset >> 6) + 1] << (64 - (offset & 0x3F)))) & (0xFFFFFFFF >> (32 - count));
}
}
@@ -67,95 +72,177 @@ SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scal
}
SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, unsigned int overflow) {
- uint128_t t;
+ secp256k1_uint128 t;
VERIFY_CHECK(overflow <= 1);
- t = (uint128_t)r->d[0] + overflow * SECP256K1_N_C_0;
- r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- t += (uint128_t)r->d[1] + overflow * SECP256K1_N_C_1;
- r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- t += (uint128_t)r->d[2] + overflow * SECP256K1_N_C_2;
- r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- t += (uint64_t)r->d[3];
- r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL;
+
+ secp256k1_u128_from_u64(&t, r->d[0]);
+ secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_0);
+ r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, r->d[1]);
+ secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_1);
+ r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, r->d[2]);
+ secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_2);
+ r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, r->d[3]);
+ r->d[3] = secp256k1_u128_to_u64(&t);
+
+ SECP256K1_SCALAR_VERIFY(r);
return overflow;
}
static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) {
int overflow;
- uint128_t t = (uint128_t)a->d[0] + b->d[0];
- r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- t += (uint128_t)a->d[1] + b->d[1];
- r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- t += (uint128_t)a->d[2] + b->d[2];
- r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- t += (uint128_t)a->d[3] + b->d[3];
- r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- overflow = t + secp256k1_scalar_check_overflow(r);
+ secp256k1_uint128 t;
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
+
+ secp256k1_u128_from_u64(&t, a->d[0]);
+ secp256k1_u128_accum_u64(&t, b->d[0]);
+ r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, a->d[1]);
+ secp256k1_u128_accum_u64(&t, b->d[1]);
+ r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, a->d[2]);
+ secp256k1_u128_accum_u64(&t, b->d[2]);
+ r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, a->d[3]);
+ secp256k1_u128_accum_u64(&t, b->d[3]);
+ r->d[3] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ overflow = secp256k1_u128_to_u64(&t) + secp256k1_scalar_check_overflow(r);
VERIFY_CHECK(overflow == 0 || overflow == 1);
secp256k1_scalar_reduce(r, overflow);
+
+ SECP256K1_SCALAR_VERIFY(r);
return overflow;
}
static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) {
- uint128_t t;
+ secp256k1_uint128 t;
+ volatile int vflag = flag;
+ SECP256K1_SCALAR_VERIFY(r);
VERIFY_CHECK(bit < 256);
- bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 6) > 3 makes this a noop */
- t = (uint128_t)r->d[0] + (((uint64_t)((bit >> 6) == 0)) << (bit & 0x3F));
- r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- t += (uint128_t)r->d[1] + (((uint64_t)((bit >> 6) == 1)) << (bit & 0x3F));
- r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- t += (uint128_t)r->d[2] + (((uint64_t)((bit >> 6) == 2)) << (bit & 0x3F));
- r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64;
- t += (uint128_t)r->d[3] + (((uint64_t)((bit >> 6) == 3)) << (bit & 0x3F));
- r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL;
-#ifdef VERIFY
- VERIFY_CHECK((t >> 64) == 0);
- VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0);
-#endif
+
+ bit += ((uint32_t) vflag - 1) & 0x100; /* forcing (bit >> 6) > 3 makes this a noop */
+ secp256k1_u128_from_u64(&t, r->d[0]);
+ secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 0)) << (bit & 0x3F));
+ r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, r->d[1]);
+ secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 1)) << (bit & 0x3F));
+ r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, r->d[2]);
+ secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 2)) << (bit & 0x3F));
+ r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, r->d[3]);
+ secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 3)) << (bit & 0x3F));
+ r->d[3] = secp256k1_u128_to_u64(&t);
+
+ SECP256K1_SCALAR_VERIFY(r);
+ VERIFY_CHECK(secp256k1_u128_hi_u64(&t) == 0);
}
static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) {
int over;
- r->d[0] = (uint64_t)b32[31] | (uint64_t)b32[30] << 8 | (uint64_t)b32[29] << 16 | (uint64_t)b32[28] << 24 | (uint64_t)b32[27] << 32 | (uint64_t)b32[26] << 40 | (uint64_t)b32[25] << 48 | (uint64_t)b32[24] << 56;
- r->d[1] = (uint64_t)b32[23] | (uint64_t)b32[22] << 8 | (uint64_t)b32[21] << 16 | (uint64_t)b32[20] << 24 | (uint64_t)b32[19] << 32 | (uint64_t)b32[18] << 40 | (uint64_t)b32[17] << 48 | (uint64_t)b32[16] << 56;
- r->d[2] = (uint64_t)b32[15] | (uint64_t)b32[14] << 8 | (uint64_t)b32[13] << 16 | (uint64_t)b32[12] << 24 | (uint64_t)b32[11] << 32 | (uint64_t)b32[10] << 40 | (uint64_t)b32[9] << 48 | (uint64_t)b32[8] << 56;
- r->d[3] = (uint64_t)b32[7] | (uint64_t)b32[6] << 8 | (uint64_t)b32[5] << 16 | (uint64_t)b32[4] << 24 | (uint64_t)b32[3] << 32 | (uint64_t)b32[2] << 40 | (uint64_t)b32[1] << 48 | (uint64_t)b32[0] << 56;
+ r->d[0] = secp256k1_read_be64(&b32[24]);
+ r->d[1] = secp256k1_read_be64(&b32[16]);
+ r->d[2] = secp256k1_read_be64(&b32[8]);
+ r->d[3] = secp256k1_read_be64(&b32[0]);
over = secp256k1_scalar_reduce(r, secp256k1_scalar_check_overflow(r));
if (overflow) {
*overflow = over;
}
+
+ SECP256K1_SCALAR_VERIFY(r);
}
static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) {
- bin[0] = a->d[3] >> 56; bin[1] = a->d[3] >> 48; bin[2] = a->d[3] >> 40; bin[3] = a->d[3] >> 32; bin[4] = a->d[3] >> 24; bin[5] = a->d[3] >> 16; bin[6] = a->d[3] >> 8; bin[7] = a->d[3];
- bin[8] = a->d[2] >> 56; bin[9] = a->d[2] >> 48; bin[10] = a->d[2] >> 40; bin[11] = a->d[2] >> 32; bin[12] = a->d[2] >> 24; bin[13] = a->d[2] >> 16; bin[14] = a->d[2] >> 8; bin[15] = a->d[2];
- bin[16] = a->d[1] >> 56; bin[17] = a->d[1] >> 48; bin[18] = a->d[1] >> 40; bin[19] = a->d[1] >> 32; bin[20] = a->d[1] >> 24; bin[21] = a->d[1] >> 16; bin[22] = a->d[1] >> 8; bin[23] = a->d[1];
- bin[24] = a->d[0] >> 56; bin[25] = a->d[0] >> 48; bin[26] = a->d[0] >> 40; bin[27] = a->d[0] >> 32; bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0];
+ SECP256K1_SCALAR_VERIFY(a);
+
+ secp256k1_write_be64(&bin[0], a->d[3]);
+ secp256k1_write_be64(&bin[8], a->d[2]);
+ secp256k1_write_be64(&bin[16], a->d[1]);
+ secp256k1_write_be64(&bin[24], a->d[0]);
}
SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
return (a->d[0] | a->d[1] | a->d[2] | a->d[3]) == 0;
}
static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) {
uint64_t nonzero = 0xFFFFFFFFFFFFFFFFULL * (secp256k1_scalar_is_zero(a) == 0);
- uint128_t t = (uint128_t)(~a->d[0]) + SECP256K1_N_0 + 1;
- r->d[0] = t & nonzero; t >>= 64;
- t += (uint128_t)(~a->d[1]) + SECP256K1_N_1;
- r->d[1] = t & nonzero; t >>= 64;
- t += (uint128_t)(~a->d[2]) + SECP256K1_N_2;
- r->d[2] = t & nonzero; t >>= 64;
- t += (uint128_t)(~a->d[3]) + SECP256K1_N_3;
- r->d[3] = t & nonzero;
+ secp256k1_uint128 t;
+ SECP256K1_SCALAR_VERIFY(a);
+
+ secp256k1_u128_from_u64(&t, ~a->d[0]);
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_0 + 1);
+ r->d[0] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, ~a->d[1]);
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_1);
+ r->d[1] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, ~a->d[2]);
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_2);
+ r->d[2] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, ~a->d[3]);
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_3);
+ r->d[3] = secp256k1_u128_to_u64(&t) & nonzero;
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a) {
+ /* Writing `/` for field division and `//` for integer division, we compute
+ *
+ * a/2 = (a - (a&1))/2 + (a&1)/2
+ * = (a >> 1) + (a&1 ? 1/2 : 0)
+ * = (a >> 1) + (a&1 ? n//2+1 : 0),
+ *
+ * where n is the group order and in the last equality we have used 1/2 = n//2+1 (mod n).
+ * For n//2, we have the constants SECP256K1_N_H_0, ...
+ *
+ * This sum does not overflow. The most extreme case is a = -2, the largest odd scalar. Here:
+ * - the left summand is: a >> 1 = (a - a&1)/2 = (n-2-1)//2 = (n-3)//2
+ * - the right summand is: a&1 ? n//2+1 : 0 = n//2+1 = (n-1)//2 + 2//2 = (n+1)//2
+ * Together they sum to (n-3)//2 + (n+1)//2 = (2n-2)//2 = n - 1, which is less than n.
+ */
+ uint64_t mask = -(uint64_t)(a->d[0] & 1U);
+ secp256k1_uint128 t;
+ SECP256K1_SCALAR_VERIFY(a);
+
+ secp256k1_u128_from_u64(&t, (a->d[0] >> 1) | (a->d[1] << 63));
+ secp256k1_u128_accum_u64(&t, (SECP256K1_N_H_0 + 1U) & mask);
+ r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, (a->d[1] >> 1) | (a->d[2] << 63));
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_H_1 & mask);
+ r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, (a->d[2] >> 1) | (a->d[3] << 63));
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_H_2 & mask);
+ r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64);
+ r->d[3] = secp256k1_u128_to_u64(&t) + (a->d[3] >> 1) + (SECP256K1_N_H_3 & mask);
+#ifdef VERIFY
+ /* The line above only computed the bottom 64 bits of r->d[3]; redo the computation
+ * in full 128 bits to make sure the top 64 bits are indeed zero. */
+ secp256k1_u128_accum_u64(&t, a->d[3] >> 1);
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_H_3 & mask);
+ secp256k1_u128_rshift(&t, 64);
+ VERIFY_CHECK(secp256k1_u128_to_u64(&t) == 0);
+
+ SECP256K1_SCALAR_VERIFY(r);
+#endif
}
SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3]) == 0;
}
static int secp256k1_scalar_is_high(const secp256k1_scalar *a) {
int yes = 0;
int no = 0;
+ SECP256K1_SCALAR_VERIFY(a);
+
no |= (a->d[3] < SECP256K1_N_H_3);
yes |= (a->d[3] > SECP256K1_N_H_3) & ~no;
no |= (a->d[2] < SECP256K1_N_H_2) & ~yes; /* No need for a > check. */
@@ -168,16 +255,26 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar *a) {
static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
/* If we are flag = 0, mask = 00...00 and this is a no-op;
* if we are flag = 1, mask = 11...11 and this is identical to secp256k1_scalar_negate */
- uint64_t mask = !flag - 1;
+ volatile int vflag = flag;
+ uint64_t mask = -vflag;
uint64_t nonzero = (secp256k1_scalar_is_zero(r) != 0) - 1;
- uint128_t t = (uint128_t)(r->d[0] ^ mask) + ((SECP256K1_N_0 + 1) & mask);
- r->d[0] = t & nonzero; t >>= 64;
- t += (uint128_t)(r->d[1] ^ mask) + (SECP256K1_N_1 & mask);
- r->d[1] = t & nonzero; t >>= 64;
- t += (uint128_t)(r->d[2] ^ mask) + (SECP256K1_N_2 & mask);
- r->d[2] = t & nonzero; t >>= 64;
- t += (uint128_t)(r->d[3] ^ mask) + (SECP256K1_N_3 & mask);
- r->d[3] = t & nonzero;
+ secp256k1_uint128 t;
+ SECP256K1_SCALAR_VERIFY(r);
+
+ secp256k1_u128_from_u64(&t, r->d[0] ^ mask);
+ secp256k1_u128_accum_u64(&t, (SECP256K1_N_0 + 1) & mask);
+ r->d[0] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, r->d[1] ^ mask);
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_1 & mask);
+ r->d[1] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, r->d[2] ^ mask);
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_2 & mask);
+ r->d[2] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64);
+ secp256k1_u128_accum_u64(&t, r->d[3] ^ mask);
+ secp256k1_u128_accum_u64(&t, SECP256K1_N_3 & mask);
+ r->d[3] = secp256k1_u128_to_u64(&t) & nonzero;
+
+ SECP256K1_SCALAR_VERIFY(r);
return 2 * (mask == 0) - 1;
}
@@ -187,14 +284,15 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
#define muladd(a,b) { \
uint64_t tl, th; \
{ \
- uint128_t t = (uint128_t)a * b; \
- th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \
- tl = t; \
+ secp256k1_uint128 t; \
+ secp256k1_u128_mul(&t, a, b); \
+ th = secp256k1_u128_hi_u64(&t); /* at most 0xFFFFFFFFFFFFFFFE */ \
+ tl = secp256k1_u128_to_u64(&t); \
} \
c0 += tl; /* overflow is handled on the next line */ \
- th += (c0 < tl) ? 1 : 0; /* at most 0xFFFFFFFFFFFFFFFF */ \
+ th += (c0 < tl); /* at most 0xFFFFFFFFFFFFFFFF */ \
c1 += th; /* overflow is handled on the next line */ \
- c2 += (c1 < th) ? 1 : 0; /* never overflows by contract (verified in the next line) */ \
+ c2 += (c1 < th); /* never overflows by contract (verified in the next line) */ \
VERIFY_CHECK((c1 >= th) || (c2 != 0)); \
}
@@ -202,51 +300,30 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
#define muladd_fast(a,b) { \
uint64_t tl, th; \
{ \
- uint128_t t = (uint128_t)a * b; \
- th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \
- tl = t; \
+ secp256k1_uint128 t; \
+ secp256k1_u128_mul(&t, a, b); \
+ th = secp256k1_u128_hi_u64(&t); /* at most 0xFFFFFFFFFFFFFFFE */ \
+ tl = secp256k1_u128_to_u64(&t); \
} \
c0 += tl; /* overflow is handled on the next line */ \
- th += (c0 < tl) ? 1 : 0; /* at most 0xFFFFFFFFFFFFFFFF */ \
+ th += (c0 < tl); /* at most 0xFFFFFFFFFFFFFFFF */ \
c1 += th; /* never overflows by contract (verified in the next line) */ \
VERIFY_CHECK(c1 >= th); \
}
-/** Add 2*a*b to the number defined by (c0,c1,c2). c2 must never overflow. */
-#define muladd2(a,b) { \
- uint64_t tl, th, th2, tl2; \
- { \
- uint128_t t = (uint128_t)a * b; \
- th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \
- tl = t; \
- } \
- th2 = th + th; /* at most 0xFFFFFFFFFFFFFFFE (in case th was 0x7FFFFFFFFFFFFFFF) */ \
- c2 += (th2 < th) ? 1 : 0; /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((th2 >= th) || (c2 != 0)); \
- tl2 = tl + tl; /* at most 0xFFFFFFFFFFFFFFFE (in case the lowest 63 bits of tl were 0x7FFFFFFFFFFFFFFF) */ \
- th2 += (tl2 < tl) ? 1 : 0; /* at most 0xFFFFFFFFFFFFFFFF */ \
- c0 += tl2; /* overflow is handled on the next line */ \
- th2 += (c0 < tl2) ? 1 : 0; /* second overflow is handled on the next line */ \
- c2 += (c0 < tl2) & (th2 == 0); /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((c0 >= tl2) || (th2 != 0) || (c2 != 0)); \
- c1 += th2; /* overflow is handled on the next line */ \
- c2 += (c1 < th2) ? 1 : 0; /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((c1 >= th2) || (c2 != 0)); \
-}
-
/** Add a to the number defined by (c0,c1,c2). c2 must never overflow. */
#define sumadd(a) { \
unsigned int over; \
c0 += (a); /* overflow is handled on the next line */ \
- over = (c0 < (a)) ? 1 : 0; \
+ over = (c0 < (a)); \
c1 += over; /* overflow is handled on the next line */ \
- c2 += (c1 < over) ? 1 : 0; /* never overflows by contract */ \
+ c2 += (c1 < over); /* never overflows by contract */ \
}
/** Add a to the number defined by (c0,c1). c1 must never overflow, c2 must be zero. */
#define sumadd_fast(a) { \
c0 += (a); /* overflow is handled on the next line */ \
- c1 += (c0 < (a)) ? 1 : 0; /* never overflows by contract (verified the next line) */ \
+ c1 += (c0 < (a)); /* never overflows by contract (verified the next line) */ \
VERIFY_CHECK((c1 != 0) | (c0 >= (a))); \
VERIFY_CHECK(c2 == 0); \
}
@@ -375,10 +452,18 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l)
"movq %%r10, %q5\n"
/* extract m6 */
"movq %%r8, %q6\n"
- : "=g"(m0), "=g"(m1), "=g"(m2), "=g"(m3), "=g"(m4), "=g"(m5), "=g"(m6)
- : "S"(l), "n"(SECP256K1_N_C_0), "n"(SECP256K1_N_C_1)
+ : "=&g"(m0), "=&g"(m1), "=&g"(m2), "=g"(m3), "=g"(m4), "=g"(m5), "=g"(m6)
+ : "S"(l), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1)
: "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "cc");
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&m0, sizeof(m0));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&m1, sizeof(m1));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&m2, sizeof(m2));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&m3, sizeof(m3));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&m4, sizeof(m4));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&m5, sizeof(m5));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&m6, sizeof(m6));
+
/* Reduce 385 bits into 258. */
__asm__ __volatile__(
/* Preload */
@@ -455,9 +540,15 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l)
/* extract p4 */
"movq %%r9, %q4\n"
: "=&g"(p0), "=&g"(p1), "=&g"(p2), "=g"(p3), "=g"(p4)
- : "g"(m0), "g"(m1), "g"(m2), "g"(m3), "g"(m4), "g"(m5), "g"(m6), "n"(SECP256K1_N_C_0), "n"(SECP256K1_N_C_1)
+ : "g"(m0), "g"(m1), "g"(m2), "g"(m3), "g"(m4), "g"(m5), "g"(m6), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1)
: "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "cc");
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&p0, sizeof(p0));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&p1, sizeof(p1));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&p2, sizeof(p2));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&p3, sizeof(p3));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&p4, sizeof(p4));
+
/* Reduce 258 bits into 256. */
__asm__ __volatile__(
/* Preload */
@@ -501,11 +592,15 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l)
/* Extract c */
"movq %%r9, %q0\n"
: "=g"(c)
- : "g"(p0), "g"(p1), "g"(p2), "g"(p3), "g"(p4), "D"(r), "n"(SECP256K1_N_C_0), "n"(SECP256K1_N_C_1)
+ : "g"(p0), "g"(p1), "g"(p2), "g"(p3), "g"(p4), "D"(r), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1)
: "rax", "rdx", "r8", "r9", "r10", "cc", "memory");
+
+ SECP256K1_CHECKMEM_MSAN_DEFINE(r, sizeof(*r));
+ SECP256K1_CHECKMEM_MSAN_DEFINE(&c, sizeof(c));
+
#else
- uint128_t c;
- uint64_t c0, c1, c2;
+ secp256k1_uint128 c128;
+ uint64_t c, c0, c1, c2;
uint64_t n0 = l[4], n1 = l[5], n2 = l[6], n3 = l[7];
uint64_t m0, m1, m2, m3, m4, m5;
uint32_t m6;
@@ -562,21 +657,25 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l)
/* Reduce 258 bits into 256. */
/* r[0..3] = p[0..3] + p[4] * SECP256K1_N_C. */
- c = p0 + (uint128_t)SECP256K1_N_C_0 * p4;
- r->d[0] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64;
- c += p1 + (uint128_t)SECP256K1_N_C_1 * p4;
- r->d[1] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64;
- c += p2 + (uint128_t)p4;
- r->d[2] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64;
- c += p3;
- r->d[3] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64;
+ secp256k1_u128_from_u64(&c128, p0);
+ secp256k1_u128_accum_mul(&c128, SECP256K1_N_C_0, p4);
+ r->d[0] = secp256k1_u128_to_u64(&c128); secp256k1_u128_rshift(&c128, 64);
+ secp256k1_u128_accum_u64(&c128, p1);
+ secp256k1_u128_accum_mul(&c128, SECP256K1_N_C_1, p4);
+ r->d[1] = secp256k1_u128_to_u64(&c128); secp256k1_u128_rshift(&c128, 64);
+ secp256k1_u128_accum_u64(&c128, p2);
+ secp256k1_u128_accum_u64(&c128, p4);
+ r->d[2] = secp256k1_u128_to_u64(&c128); secp256k1_u128_rshift(&c128, 64);
+ secp256k1_u128_accum_u64(&c128, p3);
+ r->d[3] = secp256k1_u128_to_u64(&c128);
+ c = secp256k1_u128_hi_u64(&c128);
#endif
/* Final reduction of r. */
secp256k1_scalar_reduce(r, c + secp256k1_scalar_check_overflow(r));
}
-static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, const secp256k1_scalar *b) {
+static void secp256k1_scalar_mul_512(uint64_t *l8, const secp256k1_scalar *a, const secp256k1_scalar *b) {
#ifdef USE_ASM_X86_64
const uint64_t *pb = b->d;
__asm__ __volatile__(
@@ -591,7 +690,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c
/* (rax,rdx) = a0 * b0 */
"movq %%r15, %%rax\n"
"mulq %%r11\n"
- /* Extract l0 */
+ /* Extract l8[0] */
"movq %%rax, 0(%%rsi)\n"
/* (r8,r9,r10) = (rdx) */
"movq %%rdx, %%r8\n"
@@ -609,7 +708,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
- /* Extract l1 */
+ /* Extract l8[1] */
"movq %%r8, 8(%%rsi)\n"
"xorq %%r8, %%r8\n"
/* (r9,r10,r8) += a0 * b2 */
@@ -630,7 +729,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
- /* Extract l2 */
+ /* Extract l8[2] */
"movq %%r9, 16(%%rsi)\n"
"xorq %%r9, %%r9\n"
/* (r10,r8,r9) += a0 * b3 */
@@ -659,7 +758,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
"adcq $0, %%r9\n"
- /* Extract l3 */
+ /* Extract l8[3] */
"movq %%r10, 24(%%rsi)\n"
"xorq %%r10, %%r10\n"
/* (r8,r9,r10) += a1 * b3 */
@@ -680,7 +779,7 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c
"addq %%rax, %%r8\n"
"adcq %%rdx, %%r9\n"
"adcq $0, %%r10\n"
- /* Extract l4 */
+ /* Extract l8[4] */
"movq %%r8, 32(%%rsi)\n"
"xorq %%r8, %%r8\n"
/* (r9,r10,r8) += a2 * b3 */
@@ -695,188 +794,54 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c
"addq %%rax, %%r9\n"
"adcq %%rdx, %%r10\n"
"adcq $0, %%r8\n"
- /* Extract l5 */
+ /* Extract l8[5] */
"movq %%r9, 40(%%rsi)\n"
/* (r10,r8) += a3 * b3 */
"movq %%r15, %%rax\n"
"mulq %%r14\n"
"addq %%rax, %%r10\n"
"adcq %%rdx, %%r8\n"
- /* Extract l6 */
+ /* Extract l8[6] */
"movq %%r10, 48(%%rsi)\n"
- /* Extract l7 */
+ /* Extract l8[7] */
"movq %%r8, 56(%%rsi)\n"
: "+d"(pb)
- : "S"(l), "D"(a->d)
+ : "S"(l8), "D"(a->d)
: "rax", "rbx", "rcx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "r15", "cc", "memory");
+
+ SECP256K1_CHECKMEM_MSAN_DEFINE(l8, sizeof(*l8) * 8);
+
#else
/* 160 bit accumulator. */
uint64_t c0 = 0, c1 = 0;
uint32_t c2 = 0;
- /* l[0..7] = a[0..3] * b[0..3]. */
+ /* l8[0..7] = a[0..3] * b[0..3]. */
muladd_fast(a->d[0], b->d[0]);
- extract_fast(l[0]);
+ extract_fast(l8[0]);
muladd(a->d[0], b->d[1]);
muladd(a->d[1], b->d[0]);
- extract(l[1]);
+ extract(l8[1]);
muladd(a->d[0], b->d[2]);
muladd(a->d[1], b->d[1]);
muladd(a->d[2], b->d[0]);
- extract(l[2]);
+ extract(l8[2]);
muladd(a->d[0], b->d[3]);
muladd(a->d[1], b->d[2]);
muladd(a->d[2], b->d[1]);
muladd(a->d[3], b->d[0]);
- extract(l[3]);
+ extract(l8[3]);
muladd(a->d[1], b->d[3]);
muladd(a->d[2], b->d[2]);
muladd(a->d[3], b->d[1]);
- extract(l[4]);
+ extract(l8[4]);
muladd(a->d[2], b->d[3]);
muladd(a->d[3], b->d[2]);
- extract(l[5]);
+ extract(l8[5]);
muladd_fast(a->d[3], b->d[3]);
- extract_fast(l[6]);
+ extract_fast(l8[6]);
VERIFY_CHECK(c1 == 0);
- l[7] = c0;
-#endif
-}
-
-static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar *a) {
-#ifdef USE_ASM_X86_64
- __asm__ __volatile__(
- /* Preload */
- "movq 0(%%rdi), %%r11\n"
- "movq 8(%%rdi), %%r12\n"
- "movq 16(%%rdi), %%r13\n"
- "movq 24(%%rdi), %%r14\n"
- /* (rax,rdx) = a0 * a0 */
- "movq %%r11, %%rax\n"
- "mulq %%r11\n"
- /* Extract l0 */
- "movq %%rax, 0(%%rsi)\n"
- /* (r8,r9,r10) = (rdx,0) */
- "movq %%rdx, %%r8\n"
- "xorq %%r9, %%r9\n"
- "xorq %%r10, %%r10\n"
- /* (r8,r9,r10) += 2 * a0 * a1 */
- "movq %%r11, %%rax\n"
- "mulq %%r12\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- /* Extract l1 */
- "movq %%r8, 8(%%rsi)\n"
- "xorq %%r8, %%r8\n"
- /* (r9,r10,r8) += 2 * a0 * a2 */
- "movq %%r11, %%rax\n"
- "mulq %%r13\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- /* (r9,r10,r8) += a1 * a1 */
- "movq %%r12, %%rax\n"
- "mulq %%r12\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- /* Extract l2 */
- "movq %%r9, 16(%%rsi)\n"
- "xorq %%r9, %%r9\n"
- /* (r10,r8,r9) += 2 * a0 * a3 */
- "movq %%r11, %%rax\n"
- "mulq %%r14\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- "adcq $0, %%r9\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- "adcq $0, %%r9\n"
- /* (r10,r8,r9) += 2 * a1 * a2 */
- "movq %%r12, %%rax\n"
- "mulq %%r13\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- "adcq $0, %%r9\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- "adcq $0, %%r9\n"
- /* Extract l3 */
- "movq %%r10, 24(%%rsi)\n"
- "xorq %%r10, %%r10\n"
- /* (r8,r9,r10) += 2 * a1 * a3 */
- "movq %%r12, %%rax\n"
- "mulq %%r14\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- /* (r8,r9,r10) += a2 * a2 */
- "movq %%r13, %%rax\n"
- "mulq %%r13\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- /* Extract l4 */
- "movq %%r8, 32(%%rsi)\n"
- "xorq %%r8, %%r8\n"
- /* (r9,r10,r8) += 2 * a2 * a3 */
- "movq %%r13, %%rax\n"
- "mulq %%r14\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- /* Extract l5 */
- "movq %%r9, 40(%%rsi)\n"
- /* (r10,r8) += a3 * a3 */
- "movq %%r14, %%rax\n"
- "mulq %%r14\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- /* Extract l6 */
- "movq %%r10, 48(%%rsi)\n"
- /* Extract l7 */
- "movq %%r8, 56(%%rsi)\n"
- :
- : "S"(l), "D"(a->d)
- : "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "cc", "memory");
-#else
- /* 160 bit accumulator. */
- uint64_t c0 = 0, c1 = 0;
- uint32_t c2 = 0;
-
- /* l[0..7] = a[0..3] * b[0..3]. */
- muladd_fast(a->d[0], a->d[0]);
- extract_fast(l[0]);
- muladd2(a->d[0], a->d[1]);
- extract(l[1]);
- muladd2(a->d[0], a->d[2]);
- muladd(a->d[1], a->d[1]);
- extract(l[2]);
- muladd2(a->d[0], a->d[3]);
- muladd2(a->d[1], a->d[2]);
- extract(l[3]);
- muladd2(a->d[1], a->d[3]);
- muladd(a->d[2], a->d[2]);
- extract(l[4]);
- muladd2(a->d[2], a->d[3]);
- extract(l[5]);
- muladd_fast(a->d[3], a->d[3]);
- extract_fast(l[6]);
- VERIFY_CHECK(c1 == 0);
- l[7] = c0;
+ l8[7] = c0;
#endif
}
@@ -884,48 +849,40 @@ static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar *a) {
#undef sumadd_fast
#undef muladd
#undef muladd_fast
-#undef muladd2
#undef extract
#undef extract_fast
static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) {
uint64_t l[8];
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
+
secp256k1_scalar_mul_512(l, a, b);
secp256k1_scalar_reduce_512(r, l);
-}
-static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) {
- int ret;
- VERIFY_CHECK(n > 0);
- VERIFY_CHECK(n < 16);
- ret = r->d[0] & ((1 << n) - 1);
- r->d[0] = (r->d[0] >> n) + (r->d[1] << (64 - n));
- r->d[1] = (r->d[1] >> n) + (r->d[2] << (64 - n));
- r->d[2] = (r->d[2] >> n) + (r->d[3] << (64 - n));
- r->d[3] = (r->d[3] >> n);
- return ret;
+ SECP256K1_SCALAR_VERIFY(r);
}
-static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) {
- uint64_t l[8];
- secp256k1_scalar_sqr_512(l, a);
- secp256k1_scalar_reduce_512(r, l);
-}
+static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) {
+ SECP256K1_SCALAR_VERIFY(k);
-#ifdef USE_ENDOMORPHISM
-static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) {
- r1->d[0] = a->d[0];
- r1->d[1] = a->d[1];
+ r1->d[0] = k->d[0];
+ r1->d[1] = k->d[1];
r1->d[2] = 0;
r1->d[3] = 0;
- r2->d[0] = a->d[2];
- r2->d[1] = a->d[3];
+ r2->d[0] = k->d[2];
+ r2->d[1] = k->d[3];
r2->d[2] = 0;
r2->d[3] = 0;
+
+ SECP256K1_SCALAR_VERIFY(r1);
+ SECP256K1_SCALAR_VERIFY(r2);
}
-#endif
SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) {
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
+
return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3])) == 0;
}
@@ -934,7 +891,10 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r,
unsigned int shiftlimbs;
unsigned int shiftlow;
unsigned int shifthigh;
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
VERIFY_CHECK(shift >= 256);
+
secp256k1_scalar_mul_512(l, a, b);
shiftlimbs = shift >> 6;
shiftlow = shift & 0x3F;
@@ -944,6 +904,97 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r,
r->d[2] = shift < 384 ? (l[2 + shiftlimbs] >> shiftlow | (shift < 320 && shiftlow ? (l[3 + shiftlimbs] << shifthigh) : 0)) : 0;
r->d[3] = shift < 320 ? (l[3 + shiftlimbs] >> shiftlow) : 0;
secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 6] >> ((shift - 1) & 0x3f)) & 1);
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) {
+ uint64_t mask0, mask1;
+ volatile int vflag = flag;
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_CHECKMEM_CHECK_VERIFY(r->d, sizeof(r->d));
+
+ mask0 = vflag + ~((uint64_t)0);
+ mask1 = ~mask0;
+ r->d[0] = (r->d[0] & mask0) | (a->d[0] & mask1);
+ r->d[1] = (r->d[1] & mask0) | (a->d[1] & mask1);
+ r->d[2] = (r->d[2] & mask0) | (a->d[2] & mask1);
+ r->d[3] = (r->d[3] & mask0) | (a->d[3] & mask1);
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static void secp256k1_scalar_from_signed62(secp256k1_scalar *r, const secp256k1_modinv64_signed62 *a) {
+ const uint64_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4];
+
+ /* The output from secp256k1_modinv64{_var} should be normalized to range [0,modulus), and
+ * have limbs in [0,2^62). The modulus is < 2^256, so the top limb must be below 2^(256-62*4).
+ */
+ VERIFY_CHECK(a0 >> 62 == 0);
+ VERIFY_CHECK(a1 >> 62 == 0);
+ VERIFY_CHECK(a2 >> 62 == 0);
+ VERIFY_CHECK(a3 >> 62 == 0);
+ VERIFY_CHECK(a4 >> 8 == 0);
+
+ r->d[0] = a0 | a1 << 62;
+ r->d[1] = a1 >> 2 | a2 << 60;
+ r->d[2] = a2 >> 4 | a3 << 58;
+ r->d[3] = a3 >> 6 | a4 << 56;
+
+ SECP256K1_SCALAR_VERIFY(r);
}
+static void secp256k1_scalar_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_scalar *a) {
+ const uint64_t M62 = UINT64_MAX >> 2;
+ const uint64_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3];
+ SECP256K1_SCALAR_VERIFY(a);
+
+ r->v[0] = a0 & M62;
+ r->v[1] = (a0 >> 62 | a1 << 2) & M62;
+ r->v[2] = (a1 >> 60 | a2 << 4) & M62;
+ r->v[3] = (a2 >> 58 | a3 << 6) & M62;
+ r->v[4] = a3 >> 56;
+}
+
+static const secp256k1_modinv64_modinfo secp256k1_const_modinfo_scalar = {
+ {{0x3FD25E8CD0364141LL, 0x2ABB739ABD2280EELL, -0x15LL, 0, 256}},
+ 0x34F20099AA774EC1LL
+};
+
+static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ secp256k1_modinv64_signed62 s;
+#ifdef VERIFY
+ int zero_in = secp256k1_scalar_is_zero(x);
+#endif
+ SECP256K1_SCALAR_VERIFY(x);
+
+ secp256k1_scalar_to_signed62(&s, x);
+ secp256k1_modinv64(&s, &secp256k1_const_modinfo_scalar);
+ secp256k1_scalar_from_signed62(r, &s);
+
+ SECP256K1_SCALAR_VERIFY(r);
+ VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in);
+}
+
+static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ secp256k1_modinv64_signed62 s;
+#ifdef VERIFY
+ int zero_in = secp256k1_scalar_is_zero(x);
#endif
+ SECP256K1_SCALAR_VERIFY(x);
+
+ secp256k1_scalar_to_signed62(&s, x);
+ secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_scalar);
+ secp256k1_scalar_from_signed62(r, &s);
+
+ SECP256K1_SCALAR_VERIFY(r);
+ VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in);
+}
+
+SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
+ return !(a->d[0] & 1);
+}
+
+#endif /* SECP256K1_SCALAR_REPR_IMPL_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_8x32.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_8x32.h
index 1319664f..17863ef9 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_8x32.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_8x32.h
@@ -1,11 +1,11 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_SCALAR_REPR_
-#define _SECP256K1_SCALAR_REPR_
+#ifndef SECP256K1_SCALAR_REPR_H
+#define SECP256K1_SCALAR_REPR_H
#include
@@ -16,4 +16,4 @@ typedef struct {
#define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{(d0), (d1), (d2), (d3), (d4), (d5), (d6), (d7)}}
-#endif
+#endif /* SECP256K1_SCALAR_REPR_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_8x32_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_8x32_impl.h
index aae4f35c..26104960 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_8x32_impl.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_8x32_impl.h
@@ -1,11 +1,15 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_SCALAR_REPR_IMPL_H_
-#define _SECP256K1_SCALAR_REPR_IMPL_H_
+#ifndef SECP256K1_SCALAR_REPR_IMPL_H
+#define SECP256K1_SCALAR_REPR_IMPL_H
+
+#include "checkmem.h"
+#include "modinv32_impl.h"
+#include "util.h"
/* Limbs of the secp256k1 order. */
#define SECP256K1_N_0 ((uint32_t)0xD0364141UL)
@@ -34,17 +38,6 @@
#define SECP256K1_N_H_6 ((uint32_t)0xFFFFFFFFUL)
#define SECP256K1_N_H_7 ((uint32_t)0x7FFFFFFFUL)
-SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) {
- r->d[0] = 0;
- r->d[1] = 0;
- r->d[2] = 0;
- r->d[3] = 0;
- r->d[4] = 0;
- r->d[5] = 0;
- r->d[6] = 0;
- r->d[7] = 0;
-}
-
SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) {
r->d[0] = v;
r->d[1] = 0;
@@ -54,21 +47,28 @@ SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsig
r->d[5] = 0;
r->d[6] = 0;
r->d[7] = 0;
+
+ SECP256K1_SCALAR_VERIFY(r);
}
-SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
+SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
+ SECP256K1_SCALAR_VERIFY(a);
+ VERIFY_CHECK(count > 0 && count <= 32);
VERIFY_CHECK((offset + count - 1) >> 5 == offset >> 5);
- return (a->d[offset >> 5] >> (offset & 0x1F)) & ((1 << count) - 1);
+
+ return (a->d[offset >> 5] >> (offset & 0x1F)) & (0xFFFFFFFF >> (32 - count));
}
-SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
- VERIFY_CHECK(count < 32);
+SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
+ SECP256K1_SCALAR_VERIFY(a);
+ VERIFY_CHECK(count > 0 && count <= 32);
VERIFY_CHECK(offset + count <= 256);
+
if ((offset + count - 1) >> 5 == offset >> 5) {
- return secp256k1_scalar_get_bits(a, offset, count);
+ return secp256k1_scalar_get_bits_limb32(a, offset, count);
} else {
VERIFY_CHECK((offset >> 5) + 1 < 8);
- return ((a->d[offset >> 5] >> (offset & 0x1F)) | (a->d[(offset >> 5) + 1] << (32 - (offset & 0x1F)))) & ((((uint32_t)1) << count) - 1);
+ return ((a->d[offset >> 5] >> (offset & 0x1F)) | (a->d[(offset >> 5) + 1] << (32 - (offset & 0x1F)))) & (0xFFFFFFFF >> (32 - count));
}
}
@@ -93,6 +93,7 @@ SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scal
SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, uint32_t overflow) {
uint64_t t;
VERIFY_CHECK(overflow <= 1);
+
t = (uint64_t)r->d[0] + overflow * SECP256K1_N_C_0;
r->d[0] = t & 0xFFFFFFFFUL; t >>= 32;
t += (uint64_t)r->d[1] + overflow * SECP256K1_N_C_1;
@@ -109,12 +110,17 @@ SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, uint32_
r->d[6] = t & 0xFFFFFFFFUL; t >>= 32;
t += (uint64_t)r->d[7];
r->d[7] = t & 0xFFFFFFFFUL;
+
+ SECP256K1_SCALAR_VERIFY(r);
return overflow;
}
static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) {
int overflow;
uint64_t t = (uint64_t)a->d[0] + b->d[0];
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
+
r->d[0] = t & 0xFFFFFFFFULL; t >>= 32;
t += (uint64_t)a->d[1] + b->d[1];
r->d[1] = t & 0xFFFFFFFFULL; t >>= 32;
@@ -133,13 +139,18 @@ static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a,
overflow = t + secp256k1_scalar_check_overflow(r);
VERIFY_CHECK(overflow == 0 || overflow == 1);
secp256k1_scalar_reduce(r, overflow);
+
+ SECP256K1_SCALAR_VERIFY(r);
return overflow;
}
static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) {
uint64_t t;
+ volatile int vflag = flag;
+ SECP256K1_SCALAR_VERIFY(r);
VERIFY_CHECK(bit < 256);
- bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 5) > 7 makes this a noop */
+
+ bit += ((uint32_t) vflag - 1) & 0x100; /* forcing (bit >> 5) > 7 makes this a noop */
t = (uint64_t)r->d[0] + (((uint32_t)((bit >> 5) == 0)) << (bit & 0x1F));
r->d[0] = t & 0xFFFFFFFFULL; t >>= 32;
t += (uint64_t)r->d[1] + (((uint32_t)((bit >> 5) == 1)) << (bit & 0x1F));
@@ -156,46 +167,53 @@ static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int
r->d[6] = t & 0xFFFFFFFFULL; t >>= 32;
t += (uint64_t)r->d[7] + (((uint32_t)((bit >> 5) == 7)) << (bit & 0x1F));
r->d[7] = t & 0xFFFFFFFFULL;
-#ifdef VERIFY
+
+ SECP256K1_SCALAR_VERIFY(r);
VERIFY_CHECK((t >> 32) == 0);
- VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0);
-#endif
}
static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) {
int over;
- r->d[0] = (uint32_t)b32[31] | (uint32_t)b32[30] << 8 | (uint32_t)b32[29] << 16 | (uint32_t)b32[28] << 24;
- r->d[1] = (uint32_t)b32[27] | (uint32_t)b32[26] << 8 | (uint32_t)b32[25] << 16 | (uint32_t)b32[24] << 24;
- r->d[2] = (uint32_t)b32[23] | (uint32_t)b32[22] << 8 | (uint32_t)b32[21] << 16 | (uint32_t)b32[20] << 24;
- r->d[3] = (uint32_t)b32[19] | (uint32_t)b32[18] << 8 | (uint32_t)b32[17] << 16 | (uint32_t)b32[16] << 24;
- r->d[4] = (uint32_t)b32[15] | (uint32_t)b32[14] << 8 | (uint32_t)b32[13] << 16 | (uint32_t)b32[12] << 24;
- r->d[5] = (uint32_t)b32[11] | (uint32_t)b32[10] << 8 | (uint32_t)b32[9] << 16 | (uint32_t)b32[8] << 24;
- r->d[6] = (uint32_t)b32[7] | (uint32_t)b32[6] << 8 | (uint32_t)b32[5] << 16 | (uint32_t)b32[4] << 24;
- r->d[7] = (uint32_t)b32[3] | (uint32_t)b32[2] << 8 | (uint32_t)b32[1] << 16 | (uint32_t)b32[0] << 24;
+ r->d[0] = secp256k1_read_be32(&b32[28]);
+ r->d[1] = secp256k1_read_be32(&b32[24]);
+ r->d[2] = secp256k1_read_be32(&b32[20]);
+ r->d[3] = secp256k1_read_be32(&b32[16]);
+ r->d[4] = secp256k1_read_be32(&b32[12]);
+ r->d[5] = secp256k1_read_be32(&b32[8]);
+ r->d[6] = secp256k1_read_be32(&b32[4]);
+ r->d[7] = secp256k1_read_be32(&b32[0]);
over = secp256k1_scalar_reduce(r, secp256k1_scalar_check_overflow(r));
if (overflow) {
*overflow = over;
}
+
+ SECP256K1_SCALAR_VERIFY(r);
}
static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) {
- bin[0] = a->d[7] >> 24; bin[1] = a->d[7] >> 16; bin[2] = a->d[7] >> 8; bin[3] = a->d[7];
- bin[4] = a->d[6] >> 24; bin[5] = a->d[6] >> 16; bin[6] = a->d[6] >> 8; bin[7] = a->d[6];
- bin[8] = a->d[5] >> 24; bin[9] = a->d[5] >> 16; bin[10] = a->d[5] >> 8; bin[11] = a->d[5];
- bin[12] = a->d[4] >> 24; bin[13] = a->d[4] >> 16; bin[14] = a->d[4] >> 8; bin[15] = a->d[4];
- bin[16] = a->d[3] >> 24; bin[17] = a->d[3] >> 16; bin[18] = a->d[3] >> 8; bin[19] = a->d[3];
- bin[20] = a->d[2] >> 24; bin[21] = a->d[2] >> 16; bin[22] = a->d[2] >> 8; bin[23] = a->d[2];
- bin[24] = a->d[1] >> 24; bin[25] = a->d[1] >> 16; bin[26] = a->d[1] >> 8; bin[27] = a->d[1];
- bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0];
+ SECP256K1_SCALAR_VERIFY(a);
+
+ secp256k1_write_be32(&bin[0], a->d[7]);
+ secp256k1_write_be32(&bin[4], a->d[6]);
+ secp256k1_write_be32(&bin[8], a->d[5]);
+ secp256k1_write_be32(&bin[12], a->d[4]);
+ secp256k1_write_be32(&bin[16], a->d[3]);
+ secp256k1_write_be32(&bin[20], a->d[2]);
+ secp256k1_write_be32(&bin[24], a->d[1]);
+ secp256k1_write_be32(&bin[28], a->d[0]);
}
SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
return (a->d[0] | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0;
}
static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) {
uint32_t nonzero = 0xFFFFFFFFUL * (secp256k1_scalar_is_zero(a) == 0);
uint64_t t = (uint64_t)(~a->d[0]) + SECP256K1_N_0 + 1;
+ SECP256K1_SCALAR_VERIFY(a);
+
r->d[0] = t & nonzero; t >>= 32;
t += (uint64_t)(~a->d[1]) + SECP256K1_N_1;
r->d[1] = t & nonzero; t >>= 32;
@@ -211,15 +229,69 @@ static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar
r->d[6] = t & nonzero; t >>= 32;
t += (uint64_t)(~a->d[7]) + SECP256K1_N_7;
r->d[7] = t & nonzero;
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a) {
+ /* Writing `/` for field division and `//` for integer division, we compute
+ *
+ * a/2 = (a - (a&1))/2 + (a&1)/2
+ * = (a >> 1) + (a&1 ? 1/2 : 0)
+ * = (a >> 1) + (a&1 ? n//2+1 : 0),
+ *
+ * where n is the group order and in the last equality we have used 1/2 = n//2+1 (mod n).
+ * For n//2, we have the constants SECP256K1_N_H_0, ...
+ *
+ * This sum does not overflow. The most extreme case is a = -2, the largest odd scalar. Here:
+ * - the left summand is: a >> 1 = (a - a&1)/2 = (n-2-1)//2 = (n-3)//2
+ * - the right summand is: a&1 ? n//2+1 : 0 = n//2+1 = (n-1)//2 + 2//2 = (n+1)//2
+ * Together they sum to (n-3)//2 + (n+1)//2 = (2n-2)//2 = n - 1, which is less than n.
+ */
+ uint32_t mask = -(uint32_t)(a->d[0] & 1U);
+ uint64_t t = (uint32_t)((a->d[0] >> 1) | (a->d[1] << 31));
+ SECP256K1_SCALAR_VERIFY(a);
+
+ t += (SECP256K1_N_H_0 + 1U) & mask;
+ r->d[0] = t; t >>= 32;
+ t += (uint32_t)((a->d[1] >> 1) | (a->d[2] << 31));
+ t += SECP256K1_N_H_1 & mask;
+ r->d[1] = t; t >>= 32;
+ t += (uint32_t)((a->d[2] >> 1) | (a->d[3] << 31));
+ t += SECP256K1_N_H_2 & mask;
+ r->d[2] = t; t >>= 32;
+ t += (uint32_t)((a->d[3] >> 1) | (a->d[4] << 31));
+ t += SECP256K1_N_H_3 & mask;
+ r->d[3] = t; t >>= 32;
+ t += (uint32_t)((a->d[4] >> 1) | (a->d[5] << 31));
+ t += SECP256K1_N_H_4 & mask;
+ r->d[4] = t; t >>= 32;
+ t += (uint32_t)((a->d[5] >> 1) | (a->d[6] << 31));
+ t += SECP256K1_N_H_5 & mask;
+ r->d[5] = t; t >>= 32;
+ t += (uint32_t)((a->d[6] >> 1) | (a->d[7] << 31));
+ t += SECP256K1_N_H_6 & mask;
+ r->d[6] = t; t >>= 32;
+ r->d[7] = (uint32_t)t + (uint32_t)(a->d[7] >> 1) + (SECP256K1_N_H_7 & mask);
+
+ /* The line above only computed the bottom 32 bits of r->d[7]. Redo the computation
+ * in full 64 bits to make sure the top 32 bits are indeed zero. */
+ VERIFY_CHECK((t + (a->d[7] >> 1) + (SECP256K1_N_H_7 & mask)) >> 32 == 0);
+
+ SECP256K1_SCALAR_VERIFY(r);
}
SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0;
}
static int secp256k1_scalar_is_high(const secp256k1_scalar *a) {
int yes = 0;
int no = 0;
+ SECP256K1_SCALAR_VERIFY(a);
+
no |= (a->d[7] < SECP256K1_N_H_7);
yes |= (a->d[7] > SECP256K1_N_H_7) & ~no;
no |= (a->d[6] < SECP256K1_N_H_6) & ~yes; /* No need for a > check. */
@@ -238,9 +310,12 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar *a) {
static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
/* If we are flag = 0, mask = 00...00 and this is a no-op;
* if we are flag = 1, mask = 11...11 and this is identical to secp256k1_scalar_negate */
- uint32_t mask = !flag - 1;
+ volatile int vflag = flag;
+ uint32_t mask = -vflag;
uint32_t nonzero = 0xFFFFFFFFUL * (secp256k1_scalar_is_zero(r) == 0);
uint64_t t = (uint64_t)(r->d[0] ^ mask) + ((SECP256K1_N_0 + 1) & mask);
+ SECP256K1_SCALAR_VERIFY(r);
+
r->d[0] = t & nonzero; t >>= 32;
t += (uint64_t)(r->d[1] ^ mask) + (SECP256K1_N_1 & mask);
r->d[1] = t & nonzero; t >>= 32;
@@ -256,6 +331,8 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
r->d[6] = t & nonzero; t >>= 32;
t += (uint64_t)(r->d[7] ^ mask) + (SECP256K1_N_7 & mask);
r->d[7] = t & nonzero;
+
+ SECP256K1_SCALAR_VERIFY(r);
return 2 * (mask == 0) - 1;
}
@@ -271,9 +348,9 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
tl = t; \
} \
c0 += tl; /* overflow is handled on the next line */ \
- th += (c0 < tl) ? 1 : 0; /* at most 0xFFFFFFFF */ \
+ th += (c0 < tl); /* at most 0xFFFFFFFF */ \
c1 += th; /* overflow is handled on the next line */ \
- c2 += (c1 < th) ? 1 : 0; /* never overflows by contract (verified in the next line) */ \
+ c2 += (c1 < th); /* never overflows by contract (verified in the next line) */ \
VERIFY_CHECK((c1 >= th) || (c2 != 0)); \
}
@@ -286,46 +363,24 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
tl = t; \
} \
c0 += tl; /* overflow is handled on the next line */ \
- th += (c0 < tl) ? 1 : 0; /* at most 0xFFFFFFFF */ \
+ th += (c0 < tl); /* at most 0xFFFFFFFF */ \
c1 += th; /* never overflows by contract (verified in the next line) */ \
VERIFY_CHECK(c1 >= th); \
}
-/** Add 2*a*b to the number defined by (c0,c1,c2). c2 must never overflow. */
-#define muladd2(a,b) { \
- uint32_t tl, th, th2, tl2; \
- { \
- uint64_t t = (uint64_t)a * b; \
- th = t >> 32; /* at most 0xFFFFFFFE */ \
- tl = t; \
- } \
- th2 = th + th; /* at most 0xFFFFFFFE (in case th was 0x7FFFFFFF) */ \
- c2 += (th2 < th) ? 1 : 0; /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((th2 >= th) || (c2 != 0)); \
- tl2 = tl + tl; /* at most 0xFFFFFFFE (in case the lowest 63 bits of tl were 0x7FFFFFFF) */ \
- th2 += (tl2 < tl) ? 1 : 0; /* at most 0xFFFFFFFF */ \
- c0 += tl2; /* overflow is handled on the next line */ \
- th2 += (c0 < tl2) ? 1 : 0; /* second overflow is handled on the next line */ \
- c2 += (c0 < tl2) & (th2 == 0); /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((c0 >= tl2) || (th2 != 0) || (c2 != 0)); \
- c1 += th2; /* overflow is handled on the next line */ \
- c2 += (c1 < th2) ? 1 : 0; /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((c1 >= th2) || (c2 != 0)); \
-}
-
/** Add a to the number defined by (c0,c1,c2). c2 must never overflow. */
#define sumadd(a) { \
unsigned int over; \
c0 += (a); /* overflow is handled on the next line */ \
- over = (c0 < (a)) ? 1 : 0; \
+ over = (c0 < (a)); \
c1 += over; /* overflow is handled on the next line */ \
- c2 += (c1 < over) ? 1 : 0; /* never overflows by contract */ \
+ c2 += (c1 < over); /* never overflows by contract */ \
}
/** Add a to the number defined by (c0,c1). c1 must never overflow, c2 must be zero. */
#define sumadd_fast(a) { \
c0 += (a); /* overflow is handled on the next line */ \
- c1 += (c0 < (a)) ? 1 : 0; /* never overflows by contract (verified the next line) */ \
+ c1 += (c0 < (a)); /* never overflows by contract (verified the next line) */ \
VERIFY_CHECK((c1 != 0) | (c0 >= (a))); \
VERIFY_CHECK(c2 == 0); \
}
@@ -576,124 +631,52 @@ static void secp256k1_scalar_mul_512(uint32_t *l, const secp256k1_scalar *a, con
l[15] = c0;
}
-static void secp256k1_scalar_sqr_512(uint32_t *l, const secp256k1_scalar *a) {
- /* 96 bit accumulator. */
- uint32_t c0 = 0, c1 = 0, c2 = 0;
-
- /* l[0..15] = a[0..7]^2. */
- muladd_fast(a->d[0], a->d[0]);
- extract_fast(l[0]);
- muladd2(a->d[0], a->d[1]);
- extract(l[1]);
- muladd2(a->d[0], a->d[2]);
- muladd(a->d[1], a->d[1]);
- extract(l[2]);
- muladd2(a->d[0], a->d[3]);
- muladd2(a->d[1], a->d[2]);
- extract(l[3]);
- muladd2(a->d[0], a->d[4]);
- muladd2(a->d[1], a->d[3]);
- muladd(a->d[2], a->d[2]);
- extract(l[4]);
- muladd2(a->d[0], a->d[5]);
- muladd2(a->d[1], a->d[4]);
- muladd2(a->d[2], a->d[3]);
- extract(l[5]);
- muladd2(a->d[0], a->d[6]);
- muladd2(a->d[1], a->d[5]);
- muladd2(a->d[2], a->d[4]);
- muladd(a->d[3], a->d[3]);
- extract(l[6]);
- muladd2(a->d[0], a->d[7]);
- muladd2(a->d[1], a->d[6]);
- muladd2(a->d[2], a->d[5]);
- muladd2(a->d[3], a->d[4]);
- extract(l[7]);
- muladd2(a->d[1], a->d[7]);
- muladd2(a->d[2], a->d[6]);
- muladd2(a->d[3], a->d[5]);
- muladd(a->d[4], a->d[4]);
- extract(l[8]);
- muladd2(a->d[2], a->d[7]);
- muladd2(a->d[3], a->d[6]);
- muladd2(a->d[4], a->d[5]);
- extract(l[9]);
- muladd2(a->d[3], a->d[7]);
- muladd2(a->d[4], a->d[6]);
- muladd(a->d[5], a->d[5]);
- extract(l[10]);
- muladd2(a->d[4], a->d[7]);
- muladd2(a->d[5], a->d[6]);
- extract(l[11]);
- muladd2(a->d[5], a->d[7]);
- muladd(a->d[6], a->d[6]);
- extract(l[12]);
- muladd2(a->d[6], a->d[7]);
- extract(l[13]);
- muladd_fast(a->d[7], a->d[7]);
- extract_fast(l[14]);
- VERIFY_CHECK(c1 == 0);
- l[15] = c0;
-}
-
#undef sumadd
#undef sumadd_fast
#undef muladd
#undef muladd_fast
-#undef muladd2
#undef extract
#undef extract_fast
static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) {
uint32_t l[16];
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
+
secp256k1_scalar_mul_512(l, a, b);
secp256k1_scalar_reduce_512(r, l);
-}
-static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) {
- int ret;
- VERIFY_CHECK(n > 0);
- VERIFY_CHECK(n < 16);
- ret = r->d[0] & ((1 << n) - 1);
- r->d[0] = (r->d[0] >> n) + (r->d[1] << (32 - n));
- r->d[1] = (r->d[1] >> n) + (r->d[2] << (32 - n));
- r->d[2] = (r->d[2] >> n) + (r->d[3] << (32 - n));
- r->d[3] = (r->d[3] >> n) + (r->d[4] << (32 - n));
- r->d[4] = (r->d[4] >> n) + (r->d[5] << (32 - n));
- r->d[5] = (r->d[5] >> n) + (r->d[6] << (32 - n));
- r->d[6] = (r->d[6] >> n) + (r->d[7] << (32 - n));
- r->d[7] = (r->d[7] >> n);
- return ret;
+ SECP256K1_SCALAR_VERIFY(r);
}
-static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) {
- uint32_t l[16];
- secp256k1_scalar_sqr_512(l, a);
- secp256k1_scalar_reduce_512(r, l);
-}
+static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) {
+ SECP256K1_SCALAR_VERIFY(k);
-#ifdef USE_ENDOMORPHISM
-static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) {
- r1->d[0] = a->d[0];
- r1->d[1] = a->d[1];
- r1->d[2] = a->d[2];
- r1->d[3] = a->d[3];
+ r1->d[0] = k->d[0];
+ r1->d[1] = k->d[1];
+ r1->d[2] = k->d[2];
+ r1->d[3] = k->d[3];
r1->d[4] = 0;
r1->d[5] = 0;
r1->d[6] = 0;
r1->d[7] = 0;
- r2->d[0] = a->d[4];
- r2->d[1] = a->d[5];
- r2->d[2] = a->d[6];
- r2->d[3] = a->d[7];
+ r2->d[0] = k->d[4];
+ r2->d[1] = k->d[5];
+ r2->d[2] = k->d[6];
+ r2->d[3] = k->d[7];
r2->d[4] = 0;
r2->d[5] = 0;
r2->d[6] = 0;
r2->d[7] = 0;
+
+ SECP256K1_SCALAR_VERIFY(r1);
+ SECP256K1_SCALAR_VERIFY(r2);
}
-#endif
SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) {
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
+
return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3]) | (a->d[4] ^ b->d[4]) | (a->d[5] ^ b->d[5]) | (a->d[6] ^ b->d[6]) | (a->d[7] ^ b->d[7])) == 0;
}
@@ -702,7 +685,10 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r,
unsigned int shiftlimbs;
unsigned int shiftlow;
unsigned int shifthigh;
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
VERIFY_CHECK(shift >= 256);
+
secp256k1_scalar_mul_512(l, a, b);
shiftlimbs = shift >> 5;
shiftlow = shift & 0x1F;
@@ -716,6 +702,115 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r,
r->d[6] = shift < 320 ? (l[6 + shiftlimbs] >> shiftlow | (shift < 288 && shiftlow ? (l[7 + shiftlimbs] << shifthigh) : 0)) : 0;
r->d[7] = shift < 288 ? (l[7 + shiftlimbs] >> shiftlow) : 0;
secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 5] >> ((shift - 1) & 0x1f)) & 1);
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) {
+ uint32_t mask0, mask1;
+ volatile int vflag = flag;
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_CHECKMEM_CHECK_VERIFY(r->d, sizeof(r->d));
+
+ mask0 = vflag + ~((uint32_t)0);
+ mask1 = ~mask0;
+ r->d[0] = (r->d[0] & mask0) | (a->d[0] & mask1);
+ r->d[1] = (r->d[1] & mask0) | (a->d[1] & mask1);
+ r->d[2] = (r->d[2] & mask0) | (a->d[2] & mask1);
+ r->d[3] = (r->d[3] & mask0) | (a->d[3] & mask1);
+ r->d[4] = (r->d[4] & mask0) | (a->d[4] & mask1);
+ r->d[5] = (r->d[5] & mask0) | (a->d[5] & mask1);
+ r->d[6] = (r->d[6] & mask0) | (a->d[6] & mask1);
+ r->d[7] = (r->d[7] & mask0) | (a->d[7] & mask1);
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static void secp256k1_scalar_from_signed30(secp256k1_scalar *r, const secp256k1_modinv32_signed30 *a) {
+ const uint32_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4],
+ a5 = a->v[5], a6 = a->v[6], a7 = a->v[7], a8 = a->v[8];
+
+ /* The output from secp256k1_modinv32{_var} should be normalized to range [0,modulus), and
+ * have limbs in [0,2^30). The modulus is < 2^256, so the top limb must be below 2^(256-30*8).
+ */
+ VERIFY_CHECK(a0 >> 30 == 0);
+ VERIFY_CHECK(a1 >> 30 == 0);
+ VERIFY_CHECK(a2 >> 30 == 0);
+ VERIFY_CHECK(a3 >> 30 == 0);
+ VERIFY_CHECK(a4 >> 30 == 0);
+ VERIFY_CHECK(a5 >> 30 == 0);
+ VERIFY_CHECK(a6 >> 30 == 0);
+ VERIFY_CHECK(a7 >> 30 == 0);
+ VERIFY_CHECK(a8 >> 16 == 0);
+
+ r->d[0] = a0 | a1 << 30;
+ r->d[1] = a1 >> 2 | a2 << 28;
+ r->d[2] = a2 >> 4 | a3 << 26;
+ r->d[3] = a3 >> 6 | a4 << 24;
+ r->d[4] = a4 >> 8 | a5 << 22;
+ r->d[5] = a5 >> 10 | a6 << 20;
+ r->d[6] = a6 >> 12 | a7 << 18;
+ r->d[7] = a7 >> 14 | a8 << 16;
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static void secp256k1_scalar_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_scalar *a) {
+ const uint32_t M30 = UINT32_MAX >> 2;
+ const uint32_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3],
+ a4 = a->d[4], a5 = a->d[5], a6 = a->d[6], a7 = a->d[7];
+ SECP256K1_SCALAR_VERIFY(a);
+
+ r->v[0] = a0 & M30;
+ r->v[1] = (a0 >> 30 | a1 << 2) & M30;
+ r->v[2] = (a1 >> 28 | a2 << 4) & M30;
+ r->v[3] = (a2 >> 26 | a3 << 6) & M30;
+ r->v[4] = (a3 >> 24 | a4 << 8) & M30;
+ r->v[5] = (a4 >> 22 | a5 << 10) & M30;
+ r->v[6] = (a5 >> 20 | a6 << 12) & M30;
+ r->v[7] = (a6 >> 18 | a7 << 14) & M30;
+ r->v[8] = a7 >> 16;
+}
+
+static const secp256k1_modinv32_modinfo secp256k1_const_modinfo_scalar = {
+ {{0x10364141L, 0x3F497A33L, 0x348A03BBL, 0x2BB739ABL, -0x146L, 0, 0, 0, 65536}},
+ 0x2A774EC1L
+};
+
+static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ secp256k1_modinv32_signed30 s;
+#ifdef VERIFY
+ int zero_in = secp256k1_scalar_is_zero(x);
+#endif
+ SECP256K1_SCALAR_VERIFY(x);
+
+ secp256k1_scalar_to_signed30(&s, x);
+ secp256k1_modinv32(&s, &secp256k1_const_modinfo_scalar);
+ secp256k1_scalar_from_signed30(r, &s);
+
+ SECP256K1_SCALAR_VERIFY(r);
+ VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in);
}
+static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ secp256k1_modinv32_signed30 s;
+#ifdef VERIFY
+ int zero_in = secp256k1_scalar_is_zero(x);
#endif
+ SECP256K1_SCALAR_VERIFY(x);
+
+ secp256k1_scalar_to_signed30(&s, x);
+ secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_scalar);
+ secp256k1_scalar_from_signed30(r, &s);
+
+ SECP256K1_SCALAR_VERIFY(r);
+ VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in);
+}
+
+SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
+ return !(a->d[0] & 1);
+}
+
+#endif /* SECP256K1_SCALAR_REPR_IMPL_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_impl.h
index f5b23764..0232a8c2 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_impl.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_impl.h
@@ -1,316 +1,120 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_SCALAR_IMPL_H_
-#define _SECP256K1_SCALAR_IMPL_H_
+#ifndef SECP256K1_SCALAR_IMPL_H
+#define SECP256K1_SCALAR_IMPL_H
-#include "group.h"
-#include "scalar.h"
-
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
+#ifdef VERIFY
+#include
#endif
+#include "scalar.h"
+#include "util.h"
+
#if defined(EXHAUSTIVE_TEST_ORDER)
#include "scalar_low_impl.h"
-#elif defined(USE_SCALAR_4X64)
+#elif defined(SECP256K1_WIDEMUL_INT128)
#include "scalar_4x64_impl.h"
-#elif defined(USE_SCALAR_8X32)
+#elif defined(SECP256K1_WIDEMUL_INT64)
#include "scalar_8x32_impl.h"
#else
-#error "Please select scalar implementation"
+#error "Please select wide multiplication implementation"
#endif
-#ifndef USE_NUM_NONE
-static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a) {
- unsigned char c[32];
- secp256k1_scalar_get_b32(c, a);
- secp256k1_num_set_bin(r, c, 32);
-}
-
-/** secp256k1 curve order, see secp256k1_ecdsa_const_order_as_fe in ecdsa_impl.h */
-static void secp256k1_scalar_order_get_num(secp256k1_num *r) {
-#if defined(EXHAUSTIVE_TEST_ORDER)
- static const unsigned char order[32] = {
- 0,0,0,0,0,0,0,0,
- 0,0,0,0,0,0,0,0,
- 0,0,0,0,0,0,0,0,
- 0,0,0,0,0,0,0,EXHAUSTIVE_TEST_ORDER
- };
-#else
- static const unsigned char order[32] = {
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,
- 0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,
- 0xBF,0xD2,0x5E,0x8C,0xD0,0x36,0x41,0x41
- };
-#endif
- secp256k1_num_set_bin(r, order, 32);
-}
-#endif
+static const secp256k1_scalar secp256k1_scalar_one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1);
+static const secp256k1_scalar secp256k1_scalar_zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
-static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) {
-#if defined(EXHAUSTIVE_TEST_ORDER)
- int i;
- *r = 0;
- for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++)
- if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1)
- *r = i;
- /* If this VERIFY_CHECK triggers we were given a noninvertible scalar (and thus
- * have a composite group order; fix it in exhaustive_tests.c). */
- VERIFY_CHECK(*r != 0);
+SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) {
+ secp256k1_memclear(r, sizeof(secp256k1_scalar));
}
-#else
- secp256k1_scalar *t;
- int i;
- /* First compute x ^ (2^N - 1) for some values of N. */
- secp256k1_scalar x2, x3, x4, x6, x7, x8, x15, x30, x60, x120, x127;
-
- secp256k1_scalar_sqr(&x2, x);
- secp256k1_scalar_mul(&x2, &x2, x);
-
- secp256k1_scalar_sqr(&x3, &x2);
- secp256k1_scalar_mul(&x3, &x3, x);
-
- secp256k1_scalar_sqr(&x4, &x3);
- secp256k1_scalar_mul(&x4, &x4, x);
-
- secp256k1_scalar_sqr(&x6, &x4);
- secp256k1_scalar_sqr(&x6, &x6);
- secp256k1_scalar_mul(&x6, &x6, &x2);
-
- secp256k1_scalar_sqr(&x7, &x6);
- secp256k1_scalar_mul(&x7, &x7, x);
- secp256k1_scalar_sqr(&x8, &x7);
- secp256k1_scalar_mul(&x8, &x8, x);
+static int secp256k1_scalar_set_b32_seckey(secp256k1_scalar *r, const unsigned char *bin) {
+ int overflow;
+ secp256k1_scalar_set_b32(r, bin, &overflow);
- secp256k1_scalar_sqr(&x15, &x8);
- for (i = 0; i < 6; i++) {
- secp256k1_scalar_sqr(&x15, &x15);
- }
- secp256k1_scalar_mul(&x15, &x15, &x7);
-
- secp256k1_scalar_sqr(&x30, &x15);
- for (i = 0; i < 14; i++) {
- secp256k1_scalar_sqr(&x30, &x30);
- }
- secp256k1_scalar_mul(&x30, &x30, &x15);
-
- secp256k1_scalar_sqr(&x60, &x30);
- for (i = 0; i < 29; i++) {
- secp256k1_scalar_sqr(&x60, &x60);
- }
- secp256k1_scalar_mul(&x60, &x60, &x30);
-
- secp256k1_scalar_sqr(&x120, &x60);
- for (i = 0; i < 59; i++) {
- secp256k1_scalar_sqr(&x120, &x120);
- }
- secp256k1_scalar_mul(&x120, &x120, &x60);
-
- secp256k1_scalar_sqr(&x127, &x120);
- for (i = 0; i < 6; i++) {
- secp256k1_scalar_sqr(&x127, &x127);
- }
- secp256k1_scalar_mul(&x127, &x127, &x7);
-
- /* Then accumulate the final result (t starts at x127). */
- t = &x127;
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 4; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 4; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 3; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x2); /* 11 */
- for (i = 0; i < 4; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 5; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 4; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x2); /* 11 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 5; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x4); /* 1111 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 3; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 4; i++) { /* 000 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 10; i++) { /* 0000000 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 4; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 9; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x8); /* 11111111 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 3; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 3; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 5; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x4); /* 1111 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 5; i++) { /* 000 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x2); /* 11 */
- for (i = 0; i < 4; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x2); /* 11 */
- for (i = 0; i < 2; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 8; i++) { /* 000000 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x2); /* 11 */
- for (i = 0; i < 3; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x2); /* 11 */
- for (i = 0; i < 3; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 6; i++) { /* 00000 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 8; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(r, t, &x6); /* 111111 */
+ SECP256K1_SCALAR_VERIFY(r);
+ return (!overflow) & (!secp256k1_scalar_is_zero(r));
}
-SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) {
- return !(a->d[0] & 1);
-}
-#endif
+static void secp256k1_scalar_verify(const secp256k1_scalar *r) {
+ VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0);
-static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) {
-#if defined(USE_SCALAR_INV_BUILTIN)
- secp256k1_scalar_inverse(r, x);
-#elif defined(USE_SCALAR_INV_NUM)
- unsigned char b[32];
- secp256k1_num n, m;
- secp256k1_scalar t = *x;
- secp256k1_scalar_get_b32(b, &t);
- secp256k1_num_set_bin(&n, b, 32);
- secp256k1_scalar_order_get_num(&m);
- secp256k1_num_mod_inverse(&n, &n, &m);
- secp256k1_num_get_bin(b, 32, &n);
- secp256k1_scalar_set_b32(r, b, NULL);
- /* Verify that the inverse was computed correctly, without GMP code. */
- secp256k1_scalar_mul(&t, &t, r);
- CHECK(secp256k1_scalar_is_one(&t));
-#else
-#error "Please select scalar inverse implementation"
-#endif
+ (void)r;
}
-#ifdef USE_ENDOMORPHISM
#if defined(EXHAUSTIVE_TEST_ORDER)
+/* Begin of section generated by sage/gen_exhaustive_groups.sage. */
+# if EXHAUSTIVE_TEST_ORDER == 7
+# define EXHAUSTIVE_TEST_LAMBDA 2
+# elif EXHAUSTIVE_TEST_ORDER == 13
+# define EXHAUSTIVE_TEST_LAMBDA 9
+# elif EXHAUSTIVE_TEST_ORDER == 199
+# define EXHAUSTIVE_TEST_LAMBDA 92
+# else
+# error No known lambda for the specified exhaustive test group order.
+# endif
+/* End of section generated by sage/gen_exhaustive_groups.sage. */
+
/**
- * Find k1 and k2 given k, such that k1 + k2 * lambda == k mod n; unlike in the
- * full case we don't bother making k1 and k2 be small, we just want them to be
+ * Find r1 and r2 given k, such that r1 + r2 * lambda == k mod n; unlike in the
+ * full case we don't bother making r1 and r2 be small, we just want them to be
* nontrivial to get full test coverage for the exhaustive tests. We therefore
- * (arbitrarily) set k2 = k + 5 and k1 = k - k2 * lambda.
+ * (arbitrarily) set r2 = k + 5 (mod n) and r1 = k - r2 * lambda (mod n).
*/
-static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) {
- *r2 = (*a + 5) % EXHAUSTIVE_TEST_ORDER;
- *r1 = (*a + (EXHAUSTIVE_TEST_ORDER - *r2) * EXHAUSTIVE_TEST_LAMBDA) % EXHAUSTIVE_TEST_ORDER;
+static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT r1, secp256k1_scalar * SECP256K1_RESTRICT r2, const secp256k1_scalar * SECP256K1_RESTRICT k) {
+ SECP256K1_SCALAR_VERIFY(k);
+ VERIFY_CHECK(r1 != k);
+ VERIFY_CHECK(r2 != k);
+ VERIFY_CHECK(r1 != r2);
+
+ *r2 = (*k + 5) % EXHAUSTIVE_TEST_ORDER;
+ *r1 = (*k + (EXHAUSTIVE_TEST_ORDER - *r2) * EXHAUSTIVE_TEST_LAMBDA) % EXHAUSTIVE_TEST_ORDER;
+
+ SECP256K1_SCALAR_VERIFY(r1);
+ SECP256K1_SCALAR_VERIFY(r2);
}
#else
/**
* The Secp256k1 curve has an endomorphism, where lambda * (x, y) = (beta * x, y), where
- * lambda is {0x53,0x63,0xad,0x4c,0xc0,0x5c,0x30,0xe0,0xa5,0x26,0x1c,0x02,0x88,0x12,0x64,0x5a,
- * 0x12,0x2e,0x22,0xea,0x20,0x81,0x66,0x78,0xdf,0x02,0x96,0x7c,0x1b,0x23,0xbd,0x72}
+ * lambda is: */
+static const secp256k1_scalar secp256k1_const_lambda = SECP256K1_SCALAR_CONST(
+ 0x5363AD4CUL, 0xC05C30E0UL, 0xA5261C02UL, 0x8812645AUL,
+ 0x122E22EAUL, 0x20816678UL, 0xDF02967CUL, 0x1B23BD72UL
+);
+
+#ifdef VERIFY
+static void secp256k1_scalar_split_lambda_verify(const secp256k1_scalar *r1, const secp256k1_scalar *r2, const secp256k1_scalar *k);
+#endif
+
+/*
+ * Both lambda and beta are primitive cube roots of unity. That is lambda^3 == 1 mod n and
+ * beta^3 == 1 mod p, where n is the curve order and p is the field order.
*
- * "Guide to Elliptic Curve Cryptography" (Hankerson, Menezes, Vanstone) gives an algorithm
- * (algorithm 3.74) to find k1 and k2 given k, such that k1 + k2 * lambda == k mod n, and k1
- * and k2 have a small size.
- * It relies on constants a1, b1, a2, b2. These constants for the value of lambda above are:
+ * Furthermore, because (X^3 - 1) = (X - 1)(X^2 + X + 1), the primitive cube roots of unity are
+ * roots of X^2 + X + 1. Therefore lambda^2 + lambda == -1 mod n and beta^2 + beta == -1 mod p.
+ * (The other primitive cube roots of unity are lambda^2 and beta^2 respectively.)
+ *
+ * Let l = -1/2 + i*sqrt(3)/2, the complex root of X^2 + X + 1. We can define a ring
+ * homomorphism phi : Z[l] -> Z_n where phi(a + b*l) == a + b*lambda mod n. The kernel of phi
+ * is a lattice over Z[l] (considering Z[l] as a Z-module). This lattice is generated by a
+ * reduced basis {a1 + b1*l, a2 + b2*l} where
*
* - a1 = {0x30,0x86,0xd2,0x21,0xa7,0xd4,0x6b,0xcd,0xe8,0x6c,0x90,0xe4,0x92,0x84,0xeb,0x15}
* - b1 = -{0xe4,0x43,0x7e,0xd6,0x01,0x0e,0x88,0x28,0x6f,0x54,0x7f,0xa9,0x0a,0xbf,0xe4,0xc3}
* - a2 = {0x01,0x14,0xca,0x50,0xf7,0xa8,0xe2,0xf3,0xf6,0x57,0xc1,0x10,0x8d,0x9d,0x44,0xcf,0xd8}
* - b2 = {0x30,0x86,0xd2,0x21,0xa7,0xd4,0x6b,0xcd,0xe8,0x6c,0x90,0xe4,0x92,0x84,0xeb,0x15}
*
- * The algorithm then computes c1 = round(b1 * k / n) and c2 = round(b2 * k / n), and gives
+ * "Guide to Elliptic Curve Cryptography" (Hankerson, Menezes, Vanstone) gives an algorithm
+ * (algorithm 3.74) to find k1 and k2 given k, such that k1 + k2 * lambda == k mod n, and k1
+ * and k2 are small in absolute value.
+ *
+ * The algorithm computes c1 = round(b2 * k / n) and c2 = round((-b1) * k / n), and gives
* k1 = k - (c1*a1 + c2*a2) and k2 = -(c1*b1 + c2*b2). Instead, we use modular arithmetic, and
- * compute k1 as k - k2 * lambda, avoiding the need for constants a1 and a2.
+ * compute r2 = k2 mod n, and r1 = k1 mod n = (k - r2 * lambda) mod n, avoiding the need for
+ * the constants a1 and a2.
*
* g1, g2 are precomputed constants used to replace division with a rounded multiplication
* when decomposing the scalar for an endomorphism-based point multiplication.
@@ -322,21 +126,21 @@ static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar
* Cryptography on Sensor Networks Using the MSP430X Microcontroller" (Gouvea, Oliveira, Lopez),
* Section 4.3 (here we use a somewhat higher-precision estimate):
* d = a1*b2 - b1*a2
- * g1 = round((2^272)*b2/d)
- * g2 = round((2^272)*b1/d)
+ * g1 = round(2^384 * b2/d)
+ * g2 = round(2^384 * (-b1)/d)
+ *
+ * (Note that d is also equal to the curve order, n, here because [a1,b1] and [a2,b2]
+ * can be found as outputs of the Extended Euclidean Algorithm on inputs n and lambda).
*
- * (Note that 'd' is also equal to the curve order here because [a1,b1] and [a2,b2] are found
- * as outputs of the Extended Euclidean Algorithm on inputs 'order' and 'lambda').
+ * The function below splits k into r1 and r2, such that
+ * - r1 + lambda * r2 == k (mod n)
+ * - either r1 < 2^128 or -r1 mod n < 2^128
+ * - either r2 < 2^128 or -r2 mod n < 2^128
*
- * The function below splits a in r1 and r2, such that r1 + lambda * r2 == a (mod order).
+ * See proof below.
*/
-
-static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) {
+static void secp256k1_scalar_split_lambda(secp256k1_scalar * SECP256K1_RESTRICT r1, secp256k1_scalar * SECP256K1_RESTRICT r2, const secp256k1_scalar * SECP256K1_RESTRICT k) {
secp256k1_scalar c1, c2;
- static const secp256k1_scalar minus_lambda = SECP256K1_SCALAR_CONST(
- 0xAC9C52B3UL, 0x3FA3CF1FUL, 0x5AD9E3FDUL, 0x77ED9BA4UL,
- 0xA880B9FCUL, 0x8EC739C2UL, 0xE0CFC810UL, 0xB51283CFUL
- );
static const secp256k1_scalar minus_b1 = SECP256K1_SCALAR_CONST(
0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
0xE4437ED6UL, 0x010E8828UL, 0x6F547FA9UL, 0x0ABFE4C3UL
@@ -346,25 +150,172 @@ static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar
0x8A280AC5UL, 0x0774346DUL, 0xD765CDA8UL, 0x3DB1562CUL
);
static const secp256k1_scalar g1 = SECP256K1_SCALAR_CONST(
- 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00003086UL,
- 0xD221A7D4UL, 0x6BCDE86CUL, 0x90E49284UL, 0xEB153DABUL
+ 0x3086D221UL, 0xA7D46BCDUL, 0xE86C90E4UL, 0x9284EB15UL,
+ 0x3DAA8A14UL, 0x71E8CA7FUL, 0xE893209AUL, 0x45DBB031UL
);
static const secp256k1_scalar g2 = SECP256K1_SCALAR_CONST(
- 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x0000E443UL,
- 0x7ED6010EUL, 0x88286F54UL, 0x7FA90ABFUL, 0xE4C42212UL
+ 0xE4437ED6UL, 0x010E8828UL, 0x6F547FA9UL, 0x0ABFE4C4UL,
+ 0x221208ACUL, 0x9DF506C6UL, 0x1571B4AEUL, 0x8AC47F71UL
);
- VERIFY_CHECK(r1 != a);
- VERIFY_CHECK(r2 != a);
+ SECP256K1_SCALAR_VERIFY(k);
+ VERIFY_CHECK(r1 != k);
+ VERIFY_CHECK(r2 != k);
+ VERIFY_CHECK(r1 != r2);
+
/* these _var calls are constant time since the shift amount is constant */
- secp256k1_scalar_mul_shift_var(&c1, a, &g1, 272);
- secp256k1_scalar_mul_shift_var(&c2, a, &g2, 272);
+ secp256k1_scalar_mul_shift_var(&c1, k, &g1, 384);
+ secp256k1_scalar_mul_shift_var(&c2, k, &g2, 384);
secp256k1_scalar_mul(&c1, &c1, &minus_b1);
secp256k1_scalar_mul(&c2, &c2, &minus_b2);
secp256k1_scalar_add(r2, &c1, &c2);
- secp256k1_scalar_mul(r1, r2, &minus_lambda);
- secp256k1_scalar_add(r1, r1, a);
-}
-#endif
-#endif
+ secp256k1_scalar_mul(r1, r2, &secp256k1_const_lambda);
+ secp256k1_scalar_negate(r1, r1);
+ secp256k1_scalar_add(r1, r1, k);
+ SECP256K1_SCALAR_VERIFY(r1);
+ SECP256K1_SCALAR_VERIFY(r2);
+#ifdef VERIFY
+ secp256k1_scalar_split_lambda_verify(r1, r2, k);
#endif
+}
+
+#ifdef VERIFY
+/*
+ * Proof for secp256k1_scalar_split_lambda's bounds.
+ *
+ * Let
+ * - epsilon1 = 2^256 * |g1/2^384 - b2/d|
+ * - epsilon2 = 2^256 * |g2/2^384 - (-b1)/d|
+ * - c1 = round(k*g1/2^384)
+ * - c2 = round(k*g2/2^384)
+ *
+ * Lemma 1: |c1 - k*b2/d| < 2^-1 + epsilon1
+ *
+ * |c1 - k*b2/d|
+ * =
+ * |c1 - k*g1/2^384 + k*g1/2^384 - k*b2/d|
+ * <= {triangle inequality}
+ * |c1 - k*g1/2^384| + |k*g1/2^384 - k*b2/d|
+ * =
+ * |c1 - k*g1/2^384| + k*|g1/2^384 - b2/d|
+ * < {rounding in c1 and 0 <= k < 2^256}
+ * 2^-1 + 2^256 * |g1/2^384 - b2/d|
+ * = {definition of epsilon1}
+ * 2^-1 + epsilon1
+ *
+ * Lemma 2: |c2 - k*(-b1)/d| < 2^-1 + epsilon2
+ *
+ * |c2 - k*(-b1)/d|
+ * =
+ * |c2 - k*g2/2^384 + k*g2/2^384 - k*(-b1)/d|
+ * <= {triangle inequality}
+ * |c2 - k*g2/2^384| + |k*g2/2^384 - k*(-b1)/d|
+ * =
+ * |c2 - k*g2/2^384| + k*|g2/2^384 - (-b1)/d|
+ * < {rounding in c2 and 0 <= k < 2^256}
+ * 2^-1 + 2^256 * |g2/2^384 - (-b1)/d|
+ * = {definition of epsilon2}
+ * 2^-1 + epsilon2
+ *
+ * Let
+ * - k1 = k - c1*a1 - c2*a2
+ * - k2 = - c1*b1 - c2*b2
+ *
+ * Lemma 3: |k1| < (a1 + a2 + 1)/2 < 2^128
+ *
+ * |k1|
+ * = {definition of k1}
+ * |k - c1*a1 - c2*a2|
+ * = {(a1*b2 - b1*a2)/n = 1}
+ * |k*(a1*b2 - b1*a2)/n - c1*a1 - c2*a2|
+ * =
+ * |a1*(k*b2/n - c1) + a2*(k*(-b1)/n - c2)|
+ * <= {triangle inequality}
+ * a1*|k*b2/n - c1| + a2*|k*(-b1)/n - c2|
+ * < {Lemma 1 and Lemma 2}
+ * a1*(2^-1 + epsilon1) + a2*(2^-1 + epsilon2)
+ * < {rounding up to an integer}
+ * (a1 + a2 + 1)/2
+ * < {rounding up to a power of 2}
+ * 2^128
+ *
+ * Lemma 4: |k2| < (-b1 + b2)/2 + 1 < 2^128
+ *
+ * |k2|
+ * = {definition of k2}
+ * |- c1*a1 - c2*a2|
+ * = {(b1*b2 - b1*b2)/n = 0}
+ * |k*(b1*b2 - b1*b2)/n - c1*b1 - c2*b2|
+ * =
+ * |b1*(k*b2/n - c1) + b2*(k*(-b1)/n - c2)|
+ * <= {triangle inequality}
+ * (-b1)*|k*b2/n - c1| + b2*|k*(-b1)/n - c2|
+ * < {Lemma 1 and Lemma 2}
+ * (-b1)*(2^-1 + epsilon1) + b2*(2^-1 + epsilon2)
+ * < {rounding up to an integer}
+ * (-b1 + b2)/2 + 1
+ * < {rounding up to a power of 2}
+ * 2^128
+ *
+ * Let
+ * - r2 = k2 mod n
+ * - r1 = k - r2*lambda mod n.
+ *
+ * Notice that r1 is defined such that r1 + r2 * lambda == k (mod n).
+ *
+ * Lemma 5: r1 == k1 mod n.
+ *
+ * r1
+ * == {definition of r1 and r2}
+ * k - k2*lambda
+ * == {definition of k2}
+ * k - (- c1*b1 - c2*b2)*lambda
+ * ==
+ * k + c1*b1*lambda + c2*b2*lambda
+ * == {a1 + b1*lambda == 0 mod n and a2 + b2*lambda == 0 mod n}
+ * k - c1*a1 - c2*a2
+ * == {definition of k1}
+ * k1
+ *
+ * From Lemma 3, Lemma 4, Lemma 5 and the definition of r2, we can conclude that
+ *
+ * - either r1 < 2^128 or -r1 mod n < 2^128
+ * - either r2 < 2^128 or -r2 mod n < 2^128.
+ *
+ * Q.E.D.
+ */
+static void secp256k1_scalar_split_lambda_verify(const secp256k1_scalar *r1, const secp256k1_scalar *r2, const secp256k1_scalar *k) {
+ secp256k1_scalar s;
+ unsigned char buf1[32];
+ unsigned char buf2[32];
+
+ /* (a1 + a2 + 1)/2 is 0xa2a8918ca85bafe22016d0b917e4dd77 */
+ static const unsigned char k1_bound[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0xa2, 0xa8, 0x91, 0x8c, 0xa8, 0x5b, 0xaf, 0xe2, 0x20, 0x16, 0xd0, 0xb9, 0x17, 0xe4, 0xdd, 0x77
+ };
+
+ /* (-b1 + b2)/2 + 1 is 0x8a65287bd47179fb2be08846cea267ed */
+ static const unsigned char k2_bound[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x8a, 0x65, 0x28, 0x7b, 0xd4, 0x71, 0x79, 0xfb, 0x2b, 0xe0, 0x88, 0x46, 0xce, 0xa2, 0x67, 0xed
+ };
+
+ secp256k1_scalar_mul(&s, &secp256k1_const_lambda, r2);
+ secp256k1_scalar_add(&s, &s, r1);
+ VERIFY_CHECK(secp256k1_scalar_eq(&s, k));
+
+ secp256k1_scalar_negate(&s, r1);
+ secp256k1_scalar_get_b32(buf1, r1);
+ secp256k1_scalar_get_b32(buf2, &s);
+ VERIFY_CHECK(secp256k1_memcmp_var(buf1, k1_bound, 32) < 0 || secp256k1_memcmp_var(buf2, k1_bound, 32) < 0);
+
+ secp256k1_scalar_negate(&s, r2);
+ secp256k1_scalar_get_b32(buf1, r2);
+ secp256k1_scalar_get_b32(buf2, &s);
+ VERIFY_CHECK(secp256k1_memcmp_var(buf1, k2_bound, 32) < 0 || secp256k1_memcmp_var(buf2, k2_bound, 32) < 0);
+}
+#endif /* VERIFY */
+#endif /* !defined(EXHAUSTIVE_TEST_ORDER) */
+
+#endif /* SECP256K1_SCALAR_IMPL_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_low.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_low.h
index 5574c44c..2711eb93 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_low.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_low.h
@@ -1,15 +1,24 @@
-/**********************************************************************
- * Copyright (c) 2015 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015, 2022 Andrew Poelstra, Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_SCALAR_REPR_
-#define _SECP256K1_SCALAR_REPR_
+#ifndef SECP256K1_SCALAR_REPR_H
+#define SECP256K1_SCALAR_REPR_H
#include
/** A scalar modulo the group order of the secp256k1 curve. */
typedef uint32_t secp256k1_scalar;
-#endif
+/* A compile-time constant equal to 2^32 (modulo order). */
+#define SCALAR_2P32 ((0xffffffffUL % EXHAUSTIVE_TEST_ORDER) + 1U)
+
+/* Compute a*2^32 + b (modulo order). */
+#define SCALAR_HORNER(a, b) (((uint64_t)(a) * SCALAR_2P32 + (b)) % EXHAUSTIVE_TEST_ORDER)
+
+/* Evaluates to the provided 256-bit constant reduced modulo order. */
+#define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER(SCALAR_HORNER((d7), (d6)), (d5)), (d4)), (d3)), (d2)), (d1)), (d0))
+
+#endif /* SECP256K1_SCALAR_REPR_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_low_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_low_impl.h
index 4f94441f..84e1a380 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_low_impl.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scalar_low_impl.h
@@ -1,114 +1,206 @@
-/**********************************************************************
- * Copyright (c) 2015 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_SCALAR_REPR_IMPL_H_
-#define _SECP256K1_SCALAR_REPR_IMPL_H_
+#ifndef SECP256K1_SCALAR_REPR_IMPL_H
+#define SECP256K1_SCALAR_REPR_IMPL_H
+#include "checkmem.h"
#include "scalar.h"
+#include "util.h"
#include
SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
return !(*a & 1);
}
-SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { *r = 0; }
-SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { *r = v; }
+SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) {
+ *r = v % EXHAUSTIVE_TEST_ORDER;
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_limb32(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
+ SECP256K1_SCALAR_VERIFY(a);
-SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
- if (offset < 32)
- return ((*a >> offset) & ((((uint32_t)1) << count) - 1));
- else
+ VERIFY_CHECK(count > 0 && count <= 32);
+ if (offset < 32) {
+ return (*a >> offset) & (0xFFFFFFFF >> (32 - count));
+ } else {
return 0;
+ }
}
-SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
- return secp256k1_scalar_get_bits(a, offset, count);
+SECP256K1_INLINE static uint32_t secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
+ SECP256K1_SCALAR_VERIFY(a);
+
+ return secp256k1_scalar_get_bits_limb32(a, offset, count);
}
SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar *a) { return *a >= EXHAUSTIVE_TEST_ORDER; }
static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) {
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
+
*r = (*a + *b) % EXHAUSTIVE_TEST_ORDER;
+
+ SECP256K1_SCALAR_VERIFY(r);
return *r < *b;
}
static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) {
+ SECP256K1_SCALAR_VERIFY(r);
+
if (flag && bit < 32)
- *r += (1 << bit);
-#ifdef VERIFY
- VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0);
-#endif
+ *r += ((uint32_t)1 << bit);
+
+ SECP256K1_SCALAR_VERIFY(r);
+ VERIFY_CHECK(bit < 32);
+ /* Verify that adding (1 << bit) will not overflow any in-range scalar *r by overflowing the underlying uint32_t. */
+ VERIFY_CHECK(((uint32_t)1 << bit) - 1 <= UINT32_MAX - EXHAUSTIVE_TEST_ORDER);
}
static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) {
- const int base = 0x100 % EXHAUSTIVE_TEST_ORDER;
int i;
+ int over = 0;
*r = 0;
for (i = 0; i < 32; i++) {
- *r = ((*r * base) + b32[i]) % EXHAUSTIVE_TEST_ORDER;
+ *r = (*r * 0x100) + b32[i];
+ if (*r >= EXHAUSTIVE_TEST_ORDER) {
+ over = 1;
+ *r %= EXHAUSTIVE_TEST_ORDER;
+ }
}
- /* just deny overflow, it basically always happens */
- if (overflow) *overflow = 0;
+ if (overflow) *overflow = over;
+
+ SECP256K1_SCALAR_VERIFY(r);
}
static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
memset(bin, 0, 32);
bin[28] = *a >> 24; bin[29] = *a >> 16; bin[30] = *a >> 8; bin[31] = *a;
}
SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
return *a == 0;
}
static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
if (*a == 0) {
*r = 0;
} else {
*r = EXHAUSTIVE_TEST_ORDER - *a;
}
+
+ SECP256K1_SCALAR_VERIFY(r);
}
SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
return *a == 1;
}
static int secp256k1_scalar_is_high(const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
return *a > EXHAUSTIVE_TEST_ORDER / 2;
}
static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
+ SECP256K1_SCALAR_VERIFY(r);
+
if (flag) secp256k1_scalar_negate(r, r);
+
+ SECP256K1_SCALAR_VERIFY(r);
return flag ? -1 : 1;
}
static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) {
- *r = (*a * *b) % EXHAUSTIVE_TEST_ORDER;
-}
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
-static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) {
- int ret;
- VERIFY_CHECK(n > 0);
- VERIFY_CHECK(n < 16);
- ret = *r & ((1 << n) - 1);
- *r >>= n;
- return ret;
-}
+ *r = (*a * *b) % EXHAUSTIVE_TEST_ORDER;
-static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) {
- *r = (*a * *a) % EXHAUSTIVE_TEST_ORDER;
+ SECP256K1_SCALAR_VERIFY(r);
}
static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
*r1 = *a;
*r2 = 0;
+
+ SECP256K1_SCALAR_VERIFY(r1);
+ SECP256K1_SCALAR_VERIFY(r2);
}
SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) {
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_SCALAR_VERIFY(b);
+
return *a == *b;
}
-#endif
+static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) {
+ uint32_t mask0, mask1;
+ volatile int vflag = flag;
+ SECP256K1_SCALAR_VERIFY(a);
+ SECP256K1_CHECKMEM_CHECK_VERIFY(r, sizeof(*r));
+
+ mask0 = vflag + ~((uint32_t)0);
+ mask1 = ~mask0;
+ *r = (*r & mask0) | (*a & mask1);
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ int i;
+ uint32_t res = 0;
+ SECP256K1_SCALAR_VERIFY(x);
+
+ for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) {
+ if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1) {
+ res = i;
+ break;
+ }
+ }
+
+ /* If this VERIFY_CHECK triggers we were given a noninvertible scalar (and thus
+ * have a composite group order; fix it in exhaustive_tests.c). */
+ VERIFY_CHECK(res != 0);
+ *r = res;
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ SECP256K1_SCALAR_VERIFY(x);
+
+ secp256k1_scalar_inverse(r, x);
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+static void secp256k1_scalar_half(secp256k1_scalar *r, const secp256k1_scalar *a) {
+ SECP256K1_SCALAR_VERIFY(a);
+
+ *r = (*a + ((-(uint32_t)(*a & 1)) & EXHAUSTIVE_TEST_ORDER)) >> 1;
+
+ SECP256K1_SCALAR_VERIFY(r);
+}
+
+#endif /* SECP256K1_SCALAR_REPR_IMPL_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scratch.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scratch.h
new file mode 100644
index 00000000..6164330b
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scratch.h
@@ -0,0 +1,44 @@
+/***********************************************************************
+ * Copyright (c) 2017 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_SCRATCH_H
+#define SECP256K1_SCRATCH_H
+
+/* The typedef is used internally; the struct name is used in the public API
+ * (where it is exposed as a different typedef) */
+typedef struct secp256k1_scratch_space_struct {
+ /** guard against interpreting this object as other types */
+ unsigned char magic[8];
+ /** actual allocated data */
+ void *data;
+ /** amount that has been allocated (i.e. `data + offset` is the next
+ * available pointer) */
+ size_t alloc_size;
+ /** maximum size available to allocate */
+ size_t max_size;
+} secp256k1_scratch;
+
+typedef struct secp256k1_scratch_space_struct secp256k1_scratch_space;
+
+static secp256k1_scratch* secp256k1_scratch_create(const secp256k1_callback* error_callback, size_t max_size);
+
+static void secp256k1_scratch_destroy(const secp256k1_callback* error_callback, secp256k1_scratch* scratch);
+
+/** Returns an opaque object used to "checkpoint" a scratch space. Used
+ * with `secp256k1_scratch_apply_checkpoint` to undo allocations. */
+static size_t secp256k1_scratch_checkpoint(const secp256k1_callback* error_callback, const secp256k1_scratch* scratch);
+
+/** Applies a check point received from `secp256k1_scratch_checkpoint`,
+ * undoing all allocations since that point. */
+static void secp256k1_scratch_apply_checkpoint(const secp256k1_callback* error_callback, secp256k1_scratch* scratch, size_t checkpoint);
+
+/** Returns the maximum allocation the scratch space will allow */
+static size_t secp256k1_scratch_max_allocation(const secp256k1_callback* error_callback, const secp256k1_scratch* scratch, size_t n_objects);
+
+/** Returns a pointer into the most recently allocated frame, or NULL if there is insufficient available space */
+static void *secp256k1_scratch_alloc(const secp256k1_callback* error_callback, secp256k1_scratch* scratch, size_t n);
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/scratch_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scratch_impl.h
new file mode 100644
index 00000000..f71a20b9
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/scratch_impl.h
@@ -0,0 +1,99 @@
+/***********************************************************************
+ * Copyright (c) 2017 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_SCRATCH_IMPL_H
+#define SECP256K1_SCRATCH_IMPL_H
+
+#include "util.h"
+#include "scratch.h"
+
+static secp256k1_scratch* secp256k1_scratch_create(const secp256k1_callback* error_callback, size_t size) {
+ const size_t base_alloc = ROUND_TO_ALIGN(sizeof(secp256k1_scratch));
+ void *alloc = checked_malloc(error_callback, base_alloc + size);
+ secp256k1_scratch* ret = (secp256k1_scratch *)alloc;
+ if (ret != NULL) {
+ memset(ret, 0, sizeof(*ret));
+ memcpy(ret->magic, "scratch", 8);
+ ret->data = (void *) ((char *) alloc + base_alloc);
+ ret->max_size = size;
+ }
+ return ret;
+}
+
+static void secp256k1_scratch_destroy(const secp256k1_callback* error_callback, secp256k1_scratch* scratch) {
+ if (scratch != NULL) {
+ if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) {
+ secp256k1_callback_call(error_callback, "invalid scratch space");
+ return;
+ }
+ VERIFY_CHECK(scratch->alloc_size == 0); /* all checkpoints should be applied */
+ memset(scratch->magic, 0, sizeof(scratch->magic));
+ free(scratch);
+ }
+}
+
+static size_t secp256k1_scratch_checkpoint(const secp256k1_callback* error_callback, const secp256k1_scratch* scratch) {
+ if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) {
+ secp256k1_callback_call(error_callback, "invalid scratch space");
+ return 0;
+ }
+ return scratch->alloc_size;
+}
+
+static void secp256k1_scratch_apply_checkpoint(const secp256k1_callback* error_callback, secp256k1_scratch* scratch, size_t checkpoint) {
+ if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) {
+ secp256k1_callback_call(error_callback, "invalid scratch space");
+ return;
+ }
+ if (checkpoint > scratch->alloc_size) {
+ secp256k1_callback_call(error_callback, "invalid checkpoint");
+ return;
+ }
+ scratch->alloc_size = checkpoint;
+}
+
+static size_t secp256k1_scratch_max_allocation(const secp256k1_callback* error_callback, const secp256k1_scratch* scratch, size_t objects) {
+ if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) {
+ secp256k1_callback_call(error_callback, "invalid scratch space");
+ return 0;
+ }
+ /* Ensure that multiplication will not wrap around */
+ if (ALIGNMENT > 1 && objects > SIZE_MAX/(ALIGNMENT - 1)) {
+ return 0;
+ }
+ if (scratch->max_size - scratch->alloc_size <= objects * (ALIGNMENT - 1)) {
+ return 0;
+ }
+ return scratch->max_size - scratch->alloc_size - objects * (ALIGNMENT - 1);
+}
+
+static void *secp256k1_scratch_alloc(const secp256k1_callback* error_callback, secp256k1_scratch* scratch, size_t size) {
+ void *ret;
+ size_t rounded_size;
+
+ rounded_size = ROUND_TO_ALIGN(size);
+ /* Check that rounding did not wrap around */
+ if (rounded_size < size) {
+ return NULL;
+ }
+ size = rounded_size;
+
+ if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) {
+ secp256k1_callback_call(error_callback, "invalid scratch space");
+ return NULL;
+ }
+
+ if (size > scratch->max_size - scratch->alloc_size) {
+ return NULL;
+ }
+ ret = (void *) ((char *) scratch->data + scratch->alloc_size);
+ memset(ret, 0, size);
+ scratch->alloc_size += size;
+
+ return ret;
+}
+
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/secp256k1.c b/go-ethereum/crypto/secp256k1/libsecp256k1/src/secp256k1.c
old mode 100755
new mode 100644
index ff3ab6fb..a248519d
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/secp256k1.c
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/secp256k1.c
@@ -1,13 +1,29 @@
-/**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+/* This is a C project. It should not be compiled with a C++ compiler,
+ * and we error out if we detect one.
+ *
+ * We still want to be able to test the project with a C++ compiler
+ * because it is still good to know if this will lead to real trouble, so
+ * there is a possibility to override the check. But be warned that
+ * compiling with a C++ compiler is not supported. */
+#if defined(__cplusplus) && !defined(SECP256K1_CPLUSPLUS_TEST_OVERRIDE)
+#error Trying to compile a C project with a C++ compiler.
+#endif
+
+#define SECP256K1_BUILD
-#include "include/secp256k1.h"
+#include "../include/secp256k1.h"
+#include "../include/secp256k1_preallocated.h"
+#include "assumptions.h"
+#include "checkmem.h"
#include "util.h"
-#include "num_impl.h"
+
#include "field_impl.h"
#include "scalar_impl.h"
#include "group_impl.h"
@@ -17,6 +33,14 @@
#include "ecdsa_impl.h"
#include "eckey_impl.h"
#include "hash_impl.h"
+#include "int128_impl.h"
+#include "scratch_impl.h"
+#include "selftest.h"
+#include "hsort_impl.h"
+
+#ifdef SECP256K1_NO_BUILD
+# error "secp256k1.h processed without SECP256K1_BUILD defined while building secp256k1.c"
+#endif
#define ARG_CHECK(cond) do { \
if (EXPECT(!(cond), 0)) { \
@@ -25,127 +49,205 @@
} \
} while(0)
-static void default_illegal_callback_fn(const char* str, void* data) {
- fprintf(stderr, "[libsecp256k1] illegal argument: %s\n", str);
- abort();
-}
-
-static const secp256k1_callback default_illegal_callback = {
- default_illegal_callback_fn,
- NULL
-};
-
-static void default_error_callback_fn(const char* str, void* data) {
- fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str);
- abort();
-}
-
-static const secp256k1_callback default_error_callback = {
- default_error_callback_fn,
- NULL
-};
-
+#define ARG_CHECK_VOID(cond) do { \
+ if (EXPECT(!(cond), 0)) { \
+ secp256k1_callback_call(&ctx->illegal_callback, #cond); \
+ return; \
+ } \
+} while(0)
+/* Note that whenever you change the context struct, you must also change the
+ * context_eq function. */
struct secp256k1_context_struct {
- secp256k1_ecmult_context ecmult_ctx;
secp256k1_ecmult_gen_context ecmult_gen_ctx;
secp256k1_callback illegal_callback;
secp256k1_callback error_callback;
+ int declassify;
};
-secp256k1_context* ethkit_secp256k1_context_create(unsigned int flags) {
- secp256k1_context* ret = (secp256k1_context*)checked_malloc(&default_error_callback, sizeof(secp256k1_context));
- ret->illegal_callback = default_illegal_callback;
- ret->error_callback = default_error_callback;
+static const secp256k1_context secp256k1_context_static_ = {
+ { 0 },
+ { secp256k1_default_illegal_callback_fn, 0 },
+ { secp256k1_default_error_callback_fn, 0 },
+ 0
+};
+const secp256k1_context *secp256k1_context_static = &secp256k1_context_static_;
+const secp256k1_context *secp256k1_context_no_precomp = &secp256k1_context_static_;
+
+/* Helper function that determines if a context is proper, i.e., is not the static context or a copy thereof.
+ *
+ * This is intended for "context" functions such as secp256k1_context_clone. Functions that need specific
+ * features of a context should still check for these features directly. For example, a function that needs
+ * ecmult_gen should directly check for the existence of the ecmult_gen context. */
+static int secp256k1_context_is_proper(const secp256k1_context* ctx) {
+ return secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx);
+}
+
+void secp256k1_selftest(void) {
+ if (!secp256k1_selftest_passes()) {
+ secp256k1_callback_call(&default_error_callback, "self test failed");
+ }
+}
+
+size_t secp256k1_context_preallocated_size(unsigned int flags) {
+ size_t ret = sizeof(secp256k1_context);
+ /* A return value of 0 is reserved as an indicator for errors when we call this function internally. */
+ VERIFY_CHECK(ret != 0);
if (EXPECT((flags & SECP256K1_FLAGS_TYPE_MASK) != SECP256K1_FLAGS_TYPE_CONTEXT, 0)) {
- secp256k1_callback_call(&ret->illegal_callback,
+ secp256k1_callback_call(&default_illegal_callback,
"Invalid flags");
- free(ret);
- return NULL;
+ return 0;
+ }
+
+ if (EXPECT(!SECP256K1_CHECKMEM_RUNNING() && (flags & SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY), 0)) {
+ secp256k1_callback_call(&default_illegal_callback,
+ "Declassify flag requires running with memory checking");
+ return 0;
}
- secp256k1_ecmult_context_init(&ret->ecmult_ctx);
- secp256k1_ecmult_gen_context_init(&ret->ecmult_gen_ctx);
+ return ret;
+}
+
+size_t secp256k1_context_preallocated_clone_size(const secp256k1_context* ctx) {
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(secp256k1_context_is_proper(ctx));
+ return sizeof(secp256k1_context);
+}
+
+secp256k1_context* secp256k1_context_preallocated_create(void* prealloc, unsigned int flags) {
+ size_t prealloc_size;
+ secp256k1_context* ret;
- if (flags & SECP256K1_FLAGS_BIT_CONTEXT_SIGN) {
- secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx, &ret->error_callback);
+ secp256k1_selftest();
+
+ prealloc_size = secp256k1_context_preallocated_size(flags);
+ if (prealloc_size == 0) {
+ return NULL;
}
- if (flags & SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) {
- secp256k1_ecmult_context_build(&ret->ecmult_ctx, &ret->error_callback);
+ VERIFY_CHECK(prealloc != NULL);
+ ret = (secp256k1_context*)prealloc;
+ ret->illegal_callback = default_illegal_callback;
+ ret->error_callback = default_error_callback;
+
+ /* Flags have been checked by secp256k1_context_preallocated_size. */
+ VERIFY_CHECK((flags & SECP256K1_FLAGS_TYPE_MASK) == SECP256K1_FLAGS_TYPE_CONTEXT);
+ secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx);
+ ret->declassify = !!(flags & SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY);
+
+ return ret;
+}
+
+secp256k1_context* secp256k1_context_create(unsigned int flags) {
+ size_t const prealloc_size = secp256k1_context_preallocated_size(flags);
+ secp256k1_context* ctx = (secp256k1_context*)checked_malloc(&default_error_callback, prealloc_size);
+ if (EXPECT(secp256k1_context_preallocated_create(ctx, flags) == NULL, 0)) {
+ free(ctx);
+ return NULL;
}
+ return ctx;
+}
+
+secp256k1_context* secp256k1_context_preallocated_clone(const secp256k1_context* ctx, void* prealloc) {
+ secp256k1_context* ret;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(prealloc != NULL);
+ ARG_CHECK(secp256k1_context_is_proper(ctx));
+
+ ret = (secp256k1_context*)prealloc;
+ *ret = *ctx;
return ret;
}
-secp256k1_context* ethkit_secp256k1_context_clone(const secp256k1_context* ctx) {
- secp256k1_context* ret = (secp256k1_context*)checked_malloc(&ctx->error_callback, sizeof(secp256k1_context));
- ret->illegal_callback = ctx->illegal_callback;
- ret->error_callback = ctx->error_callback;
- secp256k1_ecmult_context_clone(&ret->ecmult_ctx, &ctx->ecmult_ctx, &ctx->error_callback);
- secp256k1_ecmult_gen_context_clone(&ret->ecmult_gen_ctx, &ctx->ecmult_gen_ctx, &ctx->error_callback);
+secp256k1_context* secp256k1_context_clone(const secp256k1_context* ctx) {
+ secp256k1_context* ret;
+ size_t prealloc_size;
+
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(secp256k1_context_is_proper(ctx));
+
+ prealloc_size = secp256k1_context_preallocated_clone_size(ctx);
+ ret = (secp256k1_context*)checked_malloc(&ctx->error_callback, prealloc_size);
+ ret = secp256k1_context_preallocated_clone(ctx, ret);
return ret;
}
-void ethkit_secp256k1_context_destroy(secp256k1_context* ctx) {
- if (ctx != NULL) {
- secp256k1_ecmult_context_clear(&ctx->ecmult_ctx);
- secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx);
+void secp256k1_context_preallocated_destroy(secp256k1_context* ctx) {
+ ARG_CHECK_VOID(ctx == NULL || secp256k1_context_is_proper(ctx));
- free(ctx);
+ /* Defined as noop */
+ if (ctx == NULL) {
+ return;
+ }
+
+ secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx);
+}
+
+void secp256k1_context_destroy(secp256k1_context* ctx) {
+ ARG_CHECK_VOID(ctx == NULL || secp256k1_context_is_proper(ctx));
+
+ /* Defined as noop */
+ if (ctx == NULL) {
+ return;
}
+
+ secp256k1_context_preallocated_destroy(ctx);
+ free(ctx);
}
-void ethkit_secp256k1_context_set_illegal_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) {
+void secp256k1_context_set_illegal_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) {
+ /* We compare pointers instead of checking secp256k1_context_is_proper() here
+ because setting callbacks is allowed on *copies* of the static context:
+ it's harmless and makes testing easier. */
+ ARG_CHECK_VOID(ctx != secp256k1_context_static);
if (fun == NULL) {
- fun = default_illegal_callback_fn;
+ fun = secp256k1_default_illegal_callback_fn;
}
ctx->illegal_callback.fn = fun;
ctx->illegal_callback.data = data;
}
-void ethkit_secp256k1_context_set_error_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) {
+void secp256k1_context_set_error_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) {
+ /* We compare pointers instead of checking secp256k1_context_is_proper() here
+ because setting callbacks is allowed on *copies* of the static context:
+ it's harmless and makes testing easier. */
+ ARG_CHECK_VOID(ctx != secp256k1_context_static);
if (fun == NULL) {
- fun = default_error_callback_fn;
+ fun = secp256k1_default_error_callback_fn;
}
ctx->error_callback.fn = fun;
ctx->error_callback.data = data;
}
+static secp256k1_scratch_space* secp256k1_scratch_space_create(const secp256k1_context* ctx, size_t max_size) {
+ VERIFY_CHECK(ctx != NULL);
+ return secp256k1_scratch_create(&ctx->error_callback, max_size);
+}
+
+static void secp256k1_scratch_space_destroy(const secp256k1_context *ctx, secp256k1_scratch_space* scratch) {
+ VERIFY_CHECK(ctx != NULL);
+ secp256k1_scratch_destroy(&ctx->error_callback, scratch);
+}
+
+/* Mark memory as no-longer-secret for the purpose of analysing constant-time behaviour
+ * of the software.
+ */
+static SECP256K1_INLINE void secp256k1_declassify(const secp256k1_context* ctx, const void *p, size_t len) {
+ if (EXPECT(ctx->declassify, 0)) SECP256K1_CHECKMEM_DEFINE(p, len);
+}
+
static int secp256k1_pubkey_load(const secp256k1_context* ctx, secp256k1_ge* ge, const secp256k1_pubkey* pubkey) {
- if (sizeof(secp256k1_ge_storage) == 64) {
- /* When the secp256k1_ge_storage type is exactly 64 byte, use its
- * representation inside secp256k1_pubkey, as conversion is very fast.
- * Note that secp256k1_pubkey_save must use the same representation. */
- secp256k1_ge_storage s;
- memcpy(&s, &pubkey->data[0], 64);
- secp256k1_ge_from_storage(ge, &s);
- } else {
- /* Otherwise, fall back to 32-byte big endian for X and Y. */
- secp256k1_fe x, y;
- secp256k1_fe_set_b32(&x, pubkey->data);
- secp256k1_fe_set_b32(&y, pubkey->data + 32);
- secp256k1_ge_set_xy(ge, &x, &y);
- }
+ secp256k1_ge_from_bytes(ge, pubkey->data);
ARG_CHECK(!secp256k1_fe_is_zero(&ge->x));
return 1;
}
static void secp256k1_pubkey_save(secp256k1_pubkey* pubkey, secp256k1_ge* ge) {
- if (sizeof(secp256k1_ge_storage) == 64) {
- secp256k1_ge_storage s;
- secp256k1_ge_to_storage(&s, ge);
- memcpy(&pubkey->data[0], &s, 64);
- } else {
- VERIFY_CHECK(!secp256k1_ge_is_infinity(ge));
- secp256k1_fe_normalize_var(&ge->x);
- secp256k1_fe_normalize_var(&ge->y);
- secp256k1_fe_get_b32(pubkey->data, &ge->x);
- secp256k1_fe_get_b32(pubkey->data + 32, &ge->y);
- }
+ secp256k1_ge_to_bytes(pubkey->data, ge);
}
-int ethkit_secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pubkey* pubkey, const unsigned char *input, size_t inputlen) {
+int secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pubkey* pubkey, const unsigned char *input, size_t inputlen) {
secp256k1_ge Q;
VERIFY_CHECK(ctx != NULL);
@@ -155,19 +257,22 @@ int ethkit_secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pub
if (!secp256k1_eckey_pubkey_parse(&Q, input, inputlen)) {
return 0;
}
+ if (!secp256k1_ge_is_in_correct_subgroup(&Q)) {
+ return 0;
+ }
secp256k1_pubkey_save(pubkey, &Q);
secp256k1_ge_clear(&Q);
return 1;
}
-int ethkit_secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_pubkey* pubkey, unsigned int flags) {
+int secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_pubkey* pubkey, unsigned int flags) {
secp256k1_ge Q;
size_t len;
int ret = 0;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(outputlen != NULL);
- ARG_CHECK(*outputlen >= ((flags & SECP256K1_FLAGS_BIT_COMPRESSION) ? 33 : 65));
+ ARG_CHECK(*outputlen >= ((flags & SECP256K1_FLAGS_BIT_COMPRESSION) ? 33u : 65u));
len = *outputlen;
*outputlen = 0;
ARG_CHECK(output != NULL);
@@ -183,6 +288,60 @@ int ethkit_secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned
return ret;
}
+int secp256k1_ec_pubkey_cmp(const secp256k1_context* ctx, const secp256k1_pubkey* pubkey0, const secp256k1_pubkey* pubkey1) {
+ unsigned char out[2][33];
+ const secp256k1_pubkey* pk[2];
+ int i;
+
+ VERIFY_CHECK(ctx != NULL);
+ pk[0] = pubkey0; pk[1] = pubkey1;
+ for (i = 0; i < 2; i++) {
+ size_t out_size = sizeof(out[i]);
+ /* If the public key is NULL or invalid, ec_pubkey_serialize will call
+ * the illegal_callback and return 0. In that case we will serialize the
+ * key as all zeros which is less than any valid public key. This
+ * results in consistent comparisons even if NULL or invalid pubkeys are
+ * involved and prevents edge cases such as sorting algorithms that use
+ * this function and do not terminate as a result. */
+ if (!secp256k1_ec_pubkey_serialize(ctx, out[i], &out_size, pk[i], SECP256K1_EC_COMPRESSED)) {
+ /* Note that ec_pubkey_serialize should already set the output to
+ * zero in that case, but it's not guaranteed by the API, we can't
+ * test it and writing a VERIFY_CHECK is more complex than
+ * explicitly memsetting (again). */
+ memset(out[i], 0, sizeof(out[i]));
+ }
+ }
+ return secp256k1_memcmp_var(out[0], out[1], sizeof(out[0]));
+}
+
+static int secp256k1_ec_pubkey_sort_cmp(const void* pk1, const void* pk2, void *ctx) {
+ return secp256k1_ec_pubkey_cmp((secp256k1_context *)ctx,
+ *(secp256k1_pubkey **)pk1,
+ *(secp256k1_pubkey **)pk2);
+}
+
+int secp256k1_ec_pubkey_sort(const secp256k1_context* ctx, const secp256k1_pubkey **pubkeys, size_t n_pubkeys) {
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(pubkeys != NULL);
+
+ /* Suppress wrong warning (fixed in MSVC 19.33) */
+ #if defined(_MSC_VER) && (_MSC_VER < 1933)
+ #pragma warning(push)
+ #pragma warning(disable: 4090)
+ #endif
+
+ /* Casting away const is fine because neither secp256k1_hsort nor
+ * secp256k1_ec_pubkey_sort_cmp modify the data pointed to by the cmp_data
+ * argument. */
+ secp256k1_hsort(pubkeys, n_pubkeys, sizeof(*pubkeys), secp256k1_ec_pubkey_sort_cmp, (void *)ctx);
+
+ #if defined(_MSC_VER) && (_MSC_VER < 1933)
+ #pragma warning(pop)
+ #endif
+
+ return 1;
+}
+
static void secp256k1_ecdsa_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_ecdsa_signature* sig) {
(void)ctx;
if (sizeof(secp256k1_scalar) == 32) {
@@ -207,7 +366,7 @@ static void secp256k1_ecdsa_signature_save(secp256k1_ecdsa_signature* sig, const
}
}
-int ethkit_secp256k1_ecdsa_signature_parse_der(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input, size_t inputlen) {
+int secp256k1_ecdsa_signature_parse_der(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input, size_t inputlen) {
secp256k1_scalar r, s;
VERIFY_CHECK(ctx != NULL);
@@ -223,7 +382,7 @@ int ethkit_secp256k1_ecdsa_signature_parse_der(const secp256k1_context* ctx, sec
}
}
-int ethkit_secp256k1_ecdsa_signature_parse_compact(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input64) {
+int secp256k1_ecdsa_signature_parse_compact(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input64) {
secp256k1_scalar r, s;
int ret = 1;
int overflow = 0;
@@ -244,7 +403,7 @@ int ethkit_secp256k1_ecdsa_signature_parse_compact(const secp256k1_context* ctx,
return ret;
}
-int ethkit_secp256k1_ecdsa_signature_serialize_der(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_ecdsa_signature* sig) {
+int secp256k1_ecdsa_signature_serialize_der(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_ecdsa_signature* sig) {
secp256k1_scalar r, s;
VERIFY_CHECK(ctx != NULL);
@@ -256,7 +415,7 @@ int ethkit_secp256k1_ecdsa_signature_serialize_der(const secp256k1_context* ctx,
return secp256k1_ecdsa_sig_serialize(output, outputlen, &r, &s);
}
-int ethkit_secp256k1_ecdsa_signature_serialize_compact(const secp256k1_context* ctx, unsigned char *output64, const secp256k1_ecdsa_signature* sig) {
+int secp256k1_ecdsa_signature_serialize_compact(const secp256k1_context* ctx, unsigned char *output64, const secp256k1_ecdsa_signature* sig) {
secp256k1_scalar r, s;
VERIFY_CHECK(ctx != NULL);
@@ -269,7 +428,7 @@ int ethkit_secp256k1_ecdsa_signature_serialize_compact(const secp256k1_context*
return 1;
}
-int ethkit_secp256k1_ecdsa_signature_normalize(const secp256k1_context* ctx, secp256k1_ecdsa_signature *sigout, const secp256k1_ecdsa_signature *sigin) {
+int secp256k1_ecdsa_signature_normalize(const secp256k1_context* ctx, secp256k1_ecdsa_signature *sigout, const secp256k1_ecdsa_signature *sigin) {
secp256k1_scalar r, s;
int ret = 0;
@@ -288,122 +447,163 @@ int ethkit_secp256k1_ecdsa_signature_normalize(const secp256k1_context* ctx, sec
return ret;
}
-int ethkit_secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_signature *sig, const unsigned char *msg32, const secp256k1_pubkey *pubkey) {
+int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_signature *sig, const unsigned char *msghash32, const secp256k1_pubkey *pubkey) {
secp256k1_ge q;
secp256k1_scalar r, s;
secp256k1_scalar m;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
- ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(msghash32 != NULL);
ARG_CHECK(sig != NULL);
ARG_CHECK(pubkey != NULL);
- secp256k1_scalar_set_b32(&m, msg32, NULL);
+ secp256k1_scalar_set_b32(&m, msghash32, NULL);
secp256k1_ecdsa_signature_load(ctx, &r, &s, sig);
return (!secp256k1_scalar_is_high(&s) &&
secp256k1_pubkey_load(ctx, &q, pubkey) &&
- secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &r, &s, &q, &m));
+ secp256k1_ecdsa_sig_verify(&r, &s, &q, &m));
+}
+
+static SECP256K1_INLINE void buffer_append(unsigned char *buf, unsigned int *offset, const void *data, unsigned int len) {
+ memcpy(buf + *offset, data, len);
+ *offset += len;
}
static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int counter) {
unsigned char keydata[112];
- int keylen = 64;
- secp256k1_rfc6979_hmac_sha256_t rng;
+ unsigned int offset = 0;
+ secp256k1_rfc6979_hmac_sha256 rng;
unsigned int i;
+ secp256k1_scalar msg;
+ unsigned char msgmod32[32];
+ secp256k1_scalar_set_b32(&msg, msg32, NULL);
+ secp256k1_scalar_get_b32(msgmod32, &msg);
/* We feed a byte array to the PRNG as input, consisting of:
- * - the private key (32 bytes) and message (32 bytes), see RFC 6979 3.2d.
+ * - the private key (32 bytes) and reduced message (32 bytes), see RFC 6979 3.2d.
* - optionally 32 extra bytes of data, see RFC 6979 3.6 Additional Data.
* - optionally 16 extra bytes with the algorithm name.
* Because the arguments have distinct fixed lengths it is not possible for
* different argument mixtures to emulate each other and result in the same
* nonces.
*/
- memcpy(keydata, key32, 32);
- memcpy(keydata + 32, msg32, 32);
+ buffer_append(keydata, &offset, key32, 32);
+ buffer_append(keydata, &offset, msgmod32, 32);
if (data != NULL) {
- memcpy(keydata + 64, data, 32);
- keylen = 96;
+ buffer_append(keydata, &offset, data, 32);
}
if (algo16 != NULL) {
- memcpy(keydata + keylen, algo16, 16);
- keylen += 16;
+ buffer_append(keydata, &offset, algo16, 16);
}
- secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, keylen);
- memset(keydata, 0, sizeof(keydata));
+ secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, offset);
for (i = 0; i <= counter; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
+
+ secp256k1_memclear(keydata, sizeof(keydata));
+ secp256k1_rfc6979_hmac_sha256_clear(&rng);
return 1;
}
-const secp256k1_nonce_function ethkit_secp256k1_nonce_function_rfc6979 = nonce_function_rfc6979;
-const secp256k1_nonce_function ethkit_secp256k1_nonce_function_default = nonce_function_rfc6979;
+const secp256k1_nonce_function secp256k1_nonce_function_rfc6979 = nonce_function_rfc6979;
+const secp256k1_nonce_function secp256k1_nonce_function_default = nonce_function_rfc6979;
-int ethkit_secp256k1_ecdsa_sign(const secp256k1_context* ctx, secp256k1_ecdsa_signature *signature, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) {
- secp256k1_scalar r, s;
+static int secp256k1_ecdsa_sign_inner(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, int* recid, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) {
secp256k1_scalar sec, non, msg;
int ret = 0;
- int overflow = 0;
- VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
- ARG_CHECK(msg32 != NULL);
- ARG_CHECK(signature != NULL);
- ARG_CHECK(seckey != NULL);
+ int is_sec_valid;
+ unsigned char nonce32[32];
+ unsigned int count = 0;
+ /* Default initialization here is important so we won't pass uninit values to the cmov in the end */
+ *r = secp256k1_scalar_zero;
+ *s = secp256k1_scalar_zero;
+ if (recid) {
+ *recid = 0;
+ }
if (noncefp == NULL) {
- noncefp = ethkit_secp256k1_nonce_function_default;
+ noncefp = secp256k1_nonce_function_default;
}
- secp256k1_scalar_set_b32(&sec, seckey, &overflow);
/* Fail if the secret key is invalid. */
- if (!overflow && !secp256k1_scalar_is_zero(&sec)) {
- unsigned char nonce32[32];
- unsigned int count = 0;
- secp256k1_scalar_set_b32(&msg, msg32, NULL);
- while (1) {
- ret = noncefp(nonce32, msg32, seckey, NULL, (void*)noncedata, count);
- if (!ret) {
+ is_sec_valid = secp256k1_scalar_set_b32_seckey(&sec, seckey);
+ secp256k1_scalar_cmov(&sec, &secp256k1_scalar_one, !is_sec_valid);
+ secp256k1_scalar_set_b32(&msg, msg32, NULL);
+ while (1) {
+ int is_nonce_valid;
+ ret = !!noncefp(nonce32, msg32, seckey, NULL, (void*)noncedata, count);
+ if (!ret) {
+ break;
+ }
+ is_nonce_valid = secp256k1_scalar_set_b32_seckey(&non, nonce32);
+ /* The nonce is still secret here, but it being invalid is less likely than 1:2^255. */
+ secp256k1_declassify(ctx, &is_nonce_valid, sizeof(is_nonce_valid));
+ if (is_nonce_valid) {
+ ret = secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, r, s, &sec, &msg, &non, recid);
+ /* The final signature is no longer a secret, nor is the fact that we were successful or not. */
+ secp256k1_declassify(ctx, &ret, sizeof(ret));
+ if (ret) {
break;
}
- secp256k1_scalar_set_b32(&non, nonce32, &overflow);
- if (!overflow && !secp256k1_scalar_is_zero(&non)) {
- if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &r, &s, &sec, &msg, &non, NULL)) {
- break;
- }
- }
- count++;
}
- memset(nonce32, 0, 32);
- secp256k1_scalar_clear(&msg);
- secp256k1_scalar_clear(&non);
- secp256k1_scalar_clear(&sec);
+ count++;
}
- if (ret) {
- secp256k1_ecdsa_signature_save(signature, &r, &s);
- } else {
- memset(signature, 0, sizeof(*signature));
+ /* We don't want to declassify is_sec_valid and therefore the range of
+ * seckey. As a result is_sec_valid is included in ret only after ret was
+ * used as a branching variable. */
+ ret &= is_sec_valid;
+ secp256k1_memclear(nonce32, sizeof(nonce32));
+ secp256k1_scalar_clear(&msg);
+ secp256k1_scalar_clear(&non);
+ secp256k1_scalar_clear(&sec);
+ secp256k1_scalar_cmov(r, &secp256k1_scalar_zero, !ret);
+ secp256k1_scalar_cmov(s, &secp256k1_scalar_zero, !ret);
+ if (recid) {
+ const int zero = 0;
+ secp256k1_int_cmov(recid, &zero, !ret);
}
return ret;
}
-int ethkit_secp256k1_ec_seckey_verify(const secp256k1_context* ctx, const unsigned char *seckey) {
+int secp256k1_ecdsa_sign(const secp256k1_context* ctx, secp256k1_ecdsa_signature *signature, const unsigned char *msghash32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) {
+ secp256k1_scalar r, s;
+ int ret;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+ ARG_CHECK(msghash32 != NULL);
+ ARG_CHECK(signature != NULL);
+ ARG_CHECK(seckey != NULL);
+
+ ret = secp256k1_ecdsa_sign_inner(ctx, &r, &s, NULL, msghash32, seckey, noncefp, noncedata);
+ secp256k1_ecdsa_signature_save(signature, &r, &s);
+ return ret;
+}
+
+int secp256k1_ec_seckey_verify(const secp256k1_context* ctx, const unsigned char *seckey) {
secp256k1_scalar sec;
int ret;
- int overflow;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(seckey != NULL);
- secp256k1_scalar_set_b32(&sec, seckey, &overflow);
- ret = !overflow && !secp256k1_scalar_is_zero(&sec);
+ ret = secp256k1_scalar_set_b32_seckey(&sec, seckey);
secp256k1_scalar_clear(&sec);
return ret;
}
-int ethkit_secp256k1_ec_pubkey_create(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *seckey) {
+static int secp256k1_ec_pubkey_create_helper(const secp256k1_ecmult_gen_context *ecmult_gen_ctx, secp256k1_scalar *seckey_scalar, secp256k1_ge *p, const unsigned char *seckey) {
secp256k1_gej pj;
+ int ret;
+
+ ret = secp256k1_scalar_set_b32_seckey(seckey_scalar, seckey);
+ secp256k1_scalar_cmov(seckey_scalar, &secp256k1_scalar_one, !ret);
+
+ secp256k1_ecmult_gen(ecmult_gen_ctx, &pj, seckey_scalar);
+ secp256k1_ge_set_gej(p, &pj);
+ secp256k1_gej_clear(&pj);
+ return ret;
+}
+
+int secp256k1_ec_pubkey_create(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *seckey) {
secp256k1_ge p;
- secp256k1_scalar sec;
- int overflow;
+ secp256k1_scalar seckey_scalar;
int ret = 0;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(pubkey != NULL);
@@ -411,101 +611,142 @@ int ethkit_secp256k1_ec_pubkey_create(const secp256k1_context* ctx, secp256k1_pu
ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
ARG_CHECK(seckey != NULL);
- secp256k1_scalar_set_b32(&sec, seckey, &overflow);
- ret = (!overflow) & (!secp256k1_scalar_is_zero(&sec));
+ ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &seckey_scalar, &p, seckey);
+ secp256k1_pubkey_save(pubkey, &p);
+ secp256k1_memczero(pubkey, sizeof(*pubkey), !ret);
+
+ secp256k1_scalar_clear(&seckey_scalar);
+ return ret;
+}
+
+int secp256k1_ec_seckey_negate(const secp256k1_context* ctx, unsigned char *seckey) {
+ secp256k1_scalar sec;
+ int ret = 0;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(seckey != NULL);
+
+ ret = secp256k1_scalar_set_b32_seckey(&sec, seckey);
+ secp256k1_scalar_cmov(&sec, &secp256k1_scalar_zero, !ret);
+ secp256k1_scalar_negate(&sec, &sec);
+ secp256k1_scalar_get_b32(seckey, &sec);
+
+ secp256k1_scalar_clear(&sec);
+ return ret;
+}
+
+int secp256k1_ec_privkey_negate(const secp256k1_context* ctx, unsigned char *seckey) {
+ return secp256k1_ec_seckey_negate(ctx, seckey);
+}
+
+int secp256k1_ec_pubkey_negate(const secp256k1_context* ctx, secp256k1_pubkey *pubkey) {
+ int ret = 0;
+ secp256k1_ge p;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(pubkey != NULL);
+
+ ret = secp256k1_pubkey_load(ctx, &p, pubkey);
+ memset(pubkey, 0, sizeof(*pubkey));
if (ret) {
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pj, &sec);
- secp256k1_ge_set_gej(&p, &pj);
+ secp256k1_ge_neg(&p, &p);
secp256k1_pubkey_save(pubkey, &p);
}
- secp256k1_scalar_clear(&sec);
return ret;
}
-int ethkit_secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) {
+
+static int secp256k1_ec_seckey_tweak_add_helper(secp256k1_scalar *sec, const unsigned char *tweak32) {
secp256k1_scalar term;
+ int overflow = 0;
+ int ret = 0;
+
+ secp256k1_scalar_set_b32(&term, tweak32, &overflow);
+ ret = (!overflow) & secp256k1_eckey_privkey_tweak_add(sec, &term);
+ secp256k1_scalar_clear(&term);
+ return ret;
+}
+
+int secp256k1_ec_seckey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) {
secp256k1_scalar sec;
int ret = 0;
- int overflow = 0;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(seckey != NULL);
- ARG_CHECK(tweak != NULL);
-
- secp256k1_scalar_set_b32(&term, tweak, &overflow);
- secp256k1_scalar_set_b32(&sec, seckey, NULL);
+ ARG_CHECK(tweak32 != NULL);
- ret = !overflow && secp256k1_eckey_privkey_tweak_add(&sec, &term);
- memset(seckey, 0, 32);
- if (ret) {
- secp256k1_scalar_get_b32(seckey, &sec);
- }
+ ret = secp256k1_scalar_set_b32_seckey(&sec, seckey);
+ ret &= secp256k1_ec_seckey_tweak_add_helper(&sec, tweak32);
+ secp256k1_scalar_cmov(&sec, &secp256k1_scalar_zero, !ret);
+ secp256k1_scalar_get_b32(seckey, &sec);
secp256k1_scalar_clear(&sec);
- secp256k1_scalar_clear(&term);
return ret;
}
-int ethkit_secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak) {
- secp256k1_ge p;
+int secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) {
+ return secp256k1_ec_seckey_tweak_add(ctx, seckey, tweak32);
+}
+
+static int secp256k1_ec_pubkey_tweak_add_helper(secp256k1_ge *p, const unsigned char *tweak32) {
secp256k1_scalar term;
- int ret = 0;
int overflow = 0;
+ secp256k1_scalar_set_b32(&term, tweak32, &overflow);
+ return !overflow && secp256k1_eckey_pubkey_tweak_add(p, &term);
+}
+
+int secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32) {
+ secp256k1_ge p;
+ int ret = 0;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(pubkey != NULL);
- ARG_CHECK(tweak != NULL);
+ ARG_CHECK(tweak32 != NULL);
- secp256k1_scalar_set_b32(&term, tweak, &overflow);
- ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey);
+ ret = secp256k1_pubkey_load(ctx, &p, pubkey);
memset(pubkey, 0, sizeof(*pubkey));
+ ret = ret && secp256k1_ec_pubkey_tweak_add_helper(&p, tweak32);
if (ret) {
- if (secp256k1_eckey_pubkey_tweak_add(&ctx->ecmult_ctx, &p, &term)) {
- secp256k1_pubkey_save(pubkey, &p);
- } else {
- ret = 0;
- }
+ secp256k1_pubkey_save(pubkey, &p);
}
return ret;
}
-int ethkit_secp256k1_ec_privkey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) {
+int secp256k1_ec_seckey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) {
secp256k1_scalar factor;
secp256k1_scalar sec;
int ret = 0;
int overflow = 0;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(seckey != NULL);
- ARG_CHECK(tweak != NULL);
+ ARG_CHECK(tweak32 != NULL);
- secp256k1_scalar_set_b32(&factor, tweak, &overflow);
- secp256k1_scalar_set_b32(&sec, seckey, NULL);
- ret = !overflow && secp256k1_eckey_privkey_tweak_mul(&sec, &factor);
- memset(seckey, 0, 32);
- if (ret) {
- secp256k1_scalar_get_b32(seckey, &sec);
- }
+ secp256k1_scalar_set_b32(&factor, tweak32, &overflow);
+ ret = secp256k1_scalar_set_b32_seckey(&sec, seckey);
+ ret &= (!overflow) & secp256k1_eckey_privkey_tweak_mul(&sec, &factor);
+ secp256k1_scalar_cmov(&sec, &secp256k1_scalar_zero, !ret);
+ secp256k1_scalar_get_b32(seckey, &sec);
secp256k1_scalar_clear(&sec);
secp256k1_scalar_clear(&factor);
return ret;
}
-int ethkit_secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak) {
+int secp256k1_ec_privkey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) {
+ return secp256k1_ec_seckey_tweak_mul(ctx, seckey, tweak32);
+}
+
+int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32) {
secp256k1_ge p;
secp256k1_scalar factor;
int ret = 0;
int overflow = 0;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(pubkey != NULL);
- ARG_CHECK(tweak != NULL);
+ ARG_CHECK(tweak32 != NULL);
- secp256k1_scalar_set_b32(&factor, tweak, &overflow);
+ secp256k1_scalar_set_b32(&factor, tweak32, &overflow);
ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey);
memset(pubkey, 0, sizeof(*pubkey));
if (ret) {
- if (secp256k1_eckey_pubkey_tweak_mul(&ctx->ecmult_ctx, &p, &factor)) {
+ if (secp256k1_eckey_pubkey_tweak_mul(&p, &factor)) {
secp256k1_pubkey_save(pubkey, &p);
} else {
ret = 0;
@@ -515,18 +756,22 @@ int ethkit_secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1
return ret;
}
-int ethkit_secp256k1_context_randomize(secp256k1_context* ctx, const unsigned char *seed32) {
+int secp256k1_context_randomize(secp256k1_context* ctx, const unsigned char *seed32) {
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
- secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, seed32);
+ ARG_CHECK(secp256k1_context_is_proper(ctx));
+
+ if (secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)) {
+ secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, seed32);
+ }
return 1;
}
-int ethkit_secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey *pubnonce, const secp256k1_pubkey * const *pubnonces, size_t n) {
+int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey *pubnonce, const secp256k1_pubkey * const *pubnonces, size_t n) {
size_t i;
secp256k1_gej Qj;
secp256k1_ge Q;
+ VERIFY_CHECK(ctx != NULL);
ARG_CHECK(pubnonce != NULL);
memset(pubnonce, 0, sizeof(*pubnonce));
ARG_CHECK(n >= 1);
@@ -535,6 +780,7 @@ int ethkit_secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_p
secp256k1_gej_set_infinity(&Qj);
for (i = 0; i < n; i++) {
+ ARG_CHECK(pubnonces[i] != NULL);
secp256k1_pubkey_load(ctx, &Q, pubnonces[i]);
secp256k1_gej_add_ge(&Qj, &Qj, &Q);
}
@@ -546,14 +792,40 @@ int ethkit_secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_p
return 1;
}
+int secp256k1_tagged_sha256(const secp256k1_context* ctx, unsigned char *hash32, const unsigned char *tag, size_t taglen, const unsigned char *msg, size_t msglen) {
+ secp256k1_sha256 sha;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(hash32 != NULL);
+ ARG_CHECK(tag != NULL);
+ ARG_CHECK(msg != NULL);
+
+ secp256k1_sha256_initialize_tagged(&sha, tag, taglen);
+ secp256k1_sha256_write(&sha, msg, msglen);
+ secp256k1_sha256_finalize(&sha, hash32);
+ secp256k1_sha256_clear(&sha);
+ return 1;
+}
+
#ifdef ENABLE_MODULE_ECDH
# include "modules/ecdh/main_impl.h"
#endif
-#ifdef ENABLE_MODULE_SCHNORR
-# include "modules/schnorr/main_impl.h"
-#endif
-
#ifdef ENABLE_MODULE_RECOVERY
# include "modules/recovery/main_impl.h"
#endif
+
+#ifdef ENABLE_MODULE_EXTRAKEYS
+# include "modules/extrakeys/main_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_SCHNORRSIG
+# include "modules/schnorrsig/main_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_MUSIG
+# include "modules/musig/main_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_ELLSWIFT
+# include "modules/ellswift/main_impl.h"
+#endif
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/selftest.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/selftest.h
new file mode 100644
index 00000000..d083ac95
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/selftest.h
@@ -0,0 +1,32 @@
+/***********************************************************************
+ * Copyright (c) 2020 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_SELFTEST_H
+#define SECP256K1_SELFTEST_H
+
+#include "hash.h"
+
+#include
+
+static int secp256k1_selftest_sha256(void) {
+ static const char *input63 = "For this sample, this 63-byte string will be used as input data";
+ static const unsigned char output32[32] = {
+ 0xf0, 0x8a, 0x78, 0xcb, 0xba, 0xee, 0x08, 0x2b, 0x05, 0x2a, 0xe0, 0x70, 0x8f, 0x32, 0xfa, 0x1e,
+ 0x50, 0xc5, 0xc4, 0x21, 0xaa, 0x77, 0x2b, 0xa5, 0xdb, 0xb4, 0x06, 0xa2, 0xea, 0x6b, 0xe3, 0x42,
+ };
+ unsigned char out[32];
+ secp256k1_sha256 hasher;
+ secp256k1_sha256_initialize(&hasher);
+ secp256k1_sha256_write(&hasher, (const unsigned char*)input63, 63);
+ secp256k1_sha256_finalize(&hasher, out);
+ return secp256k1_memcmp_var(out, output32, 32) == 0;
+}
+
+static int secp256k1_selftest_passes(void) {
+ return secp256k1_selftest_sha256();
+}
+
+#endif /* SECP256K1_SELFTEST_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/testrand.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/testrand.h
index f8efa93c..3c1ed3d4 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/testrand.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/testrand.h
@@ -1,38 +1,48 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_TESTRAND_H_
-#define _SECP256K1_TESTRAND_H_
+#ifndef SECP256K1_TESTRAND_H
+#define SECP256K1_TESTRAND_H
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
-#endif
+#include "util.h"
/* A non-cryptographic RNG used only for test infrastructure. */
/** Seed the pseudorandom number generator for testing. */
-SECP256K1_INLINE static void secp256k1_rand_seed(const unsigned char *seed16);
+SECP256K1_INLINE static void testrand_seed(const unsigned char *seed16);
/** Generate a pseudorandom number in the range [0..2**32-1]. */
-static uint32_t secp256k1_rand32(void);
+SECP256K1_INLINE static uint32_t testrand32(void);
+
+/** Generate a pseudorandom number in the range [0..2**64-1]. */
+SECP256K1_INLINE static uint64_t testrand64(void);
/** Generate a pseudorandom number in the range [0..2**bits-1]. Bits must be 1 or
* more. */
-static uint32_t secp256k1_rand_bits(int bits);
+SECP256K1_INLINE static uint64_t testrand_bits(int bits);
/** Generate a pseudorandom number in the range [0..range-1]. */
-static uint32_t secp256k1_rand_int(uint32_t range);
+static uint32_t testrand_int(uint32_t range);
/** Generate a pseudorandom 32-byte array. */
-static void secp256k1_rand256(unsigned char *b32);
+static void testrand256(unsigned char *b32);
/** Generate a pseudorandom 32-byte array with long sequences of zero and one bits. */
-static void secp256k1_rand256_test(unsigned char *b32);
+static void testrand256_test(unsigned char *b32);
/** Generate pseudorandom bytes with long sequences of zero and one bits. */
-static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len);
+static void testrand_bytes_test(unsigned char *bytes, size_t len);
+
+/** Flip a single random bit in a byte array */
+static void testrand_flip(unsigned char *b, size_t len);
+
+/** Initialize the test RNG using (hex encoded) array up to 16 bytes, or randomly if hexseed is NULL. */
+static void testrand_init(const char* hexseed);
+
+/** Print final test information. */
+static void testrand_finish(void);
-#endif
+#endif /* SECP256K1_TESTRAND_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/testrand_impl.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/testrand_impl.h
index 15c7b9f1..b84f5730 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/testrand_impl.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/testrand_impl.h
@@ -1,100 +1,110 @@
-/**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_TESTRAND_IMPL_H_
-#define _SECP256K1_TESTRAND_IMPL_H_
+#ifndef SECP256K1_TESTRAND_IMPL_H
+#define SECP256K1_TESTRAND_IMPL_H
#include
+#include
#include
#include "testrand.h"
#include "hash.h"
+#include "util.h"
-static secp256k1_rfc6979_hmac_sha256_t secp256k1_test_rng;
-static uint32_t secp256k1_test_rng_precomputed[8];
-static int secp256k1_test_rng_precomputed_used = 8;
-static uint64_t secp256k1_test_rng_integer;
-static int secp256k1_test_rng_integer_bits_left = 0;
+static uint64_t secp256k1_test_state[4];
-SECP256K1_INLINE static void secp256k1_rand_seed(const unsigned char *seed16) {
- secp256k1_rfc6979_hmac_sha256_initialize(&secp256k1_test_rng, seed16, 16);
-}
+SECP256K1_INLINE static void testrand_seed(const unsigned char *seed16) {
+ static const unsigned char PREFIX[] = {'s', 'e', 'c', 'p', '2', '5', '6', 'k', '1', ' ', 't', 'e', 's', 't', ' ', 'i', 'n', 'i', 't'};
+ unsigned char out32[32];
+ secp256k1_sha256 hash;
+ int i;
-SECP256K1_INLINE static uint32_t secp256k1_rand32(void) {
- if (secp256k1_test_rng_precomputed_used == 8) {
- secp256k1_rfc6979_hmac_sha256_generate(&secp256k1_test_rng, (unsigned char*)(&secp256k1_test_rng_precomputed[0]), sizeof(secp256k1_test_rng_precomputed));
- secp256k1_test_rng_precomputed_used = 0;
+ /* Use SHA256(PREFIX || seed16) as initial state. */
+ secp256k1_sha256_initialize(&hash);
+ secp256k1_sha256_write(&hash, PREFIX, sizeof(PREFIX));
+ secp256k1_sha256_write(&hash, seed16, 16);
+ secp256k1_sha256_finalize(&hash, out32);
+ for (i = 0; i < 4; ++i) {
+ uint64_t s = 0;
+ int j;
+ for (j = 0; j < 8; ++j) s = (s << 8) | out32[8*i + j];
+ secp256k1_test_state[i] = s;
}
- return secp256k1_test_rng_precomputed[secp256k1_test_rng_precomputed_used++];
}
-static uint32_t secp256k1_rand_bits(int bits) {
- uint32_t ret;
- if (secp256k1_test_rng_integer_bits_left < bits) {
- secp256k1_test_rng_integer |= (((uint64_t)secp256k1_rand32()) << secp256k1_test_rng_integer_bits_left);
- secp256k1_test_rng_integer_bits_left += 32;
- }
- ret = secp256k1_test_rng_integer;
- secp256k1_test_rng_integer >>= bits;
- secp256k1_test_rng_integer_bits_left -= bits;
- ret &= ((~((uint32_t)0)) >> (32 - bits));
- return ret;
+SECP256K1_INLINE static uint64_t rotl(const uint64_t x, int k) {
+ return (x << k) | (x >> (64 - k));
}
-static uint32_t secp256k1_rand_int(uint32_t range) {
- /* We want a uniform integer between 0 and range-1, inclusive.
- * B is the smallest number such that range <= 2**B.
- * two mechanisms implemented here:
- * - generate B bits numbers until one below range is found, and return it
- * - find the largest multiple M of range that is <= 2**(B+A), generate B+A
- * bits numbers until one below M is found, and return it modulo range
- * The second mechanism consumes A more bits of entropy in every iteration,
- * but may need fewer iterations due to M being closer to 2**(B+A) then
- * range is to 2**B. The array below (indexed by B) contains a 0 when the
- * first mechanism is to be used, and the number A otherwise.
- */
- static const int addbits[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0};
- uint32_t trange, mult;
- int bits = 0;
- if (range <= 1) {
- return 0;
- }
- trange = range - 1;
- while (trange > 0) {
- trange >>= 1;
- bits++;
- }
- if (addbits[bits]) {
- bits = bits + addbits[bits];
- mult = ((~((uint32_t)0)) >> (32 - bits)) / range;
- trange = range * mult;
- } else {
- trange = range;
- mult = 1;
+SECP256K1_INLINE static uint64_t testrand64(void) {
+ /* Test-only Xoshiro256++ RNG. See https://prng.di.unimi.it/ */
+ const uint64_t result = rotl(secp256k1_test_state[0] + secp256k1_test_state[3], 23) + secp256k1_test_state[0];
+ const uint64_t t = secp256k1_test_state[1] << 17;
+ secp256k1_test_state[2] ^= secp256k1_test_state[0];
+ secp256k1_test_state[3] ^= secp256k1_test_state[1];
+ secp256k1_test_state[1] ^= secp256k1_test_state[2];
+ secp256k1_test_state[0] ^= secp256k1_test_state[3];
+ secp256k1_test_state[2] ^= t;
+ secp256k1_test_state[3] = rotl(secp256k1_test_state[3], 45);
+ return result;
+}
+
+SECP256K1_INLINE static uint64_t testrand_bits(int bits) {
+ if (bits == 0) return 0;
+ return testrand64() >> (64 - bits);
+}
+
+SECP256K1_INLINE static uint32_t testrand32(void) {
+ return testrand64() >> 32;
+}
+
+static uint32_t testrand_int(uint32_t range) {
+ uint32_t mask = 0;
+ uint32_t range_copy;
+ /* Reduce range by 1, changing its meaning to "maximum value". */
+ VERIFY_CHECK(range != 0);
+ range -= 1;
+ /* Count the number of bits in range. */
+ range_copy = range;
+ while (range_copy) {
+ mask = (mask << 1) | 1U;
+ range_copy >>= 1;
}
- while(1) {
- uint32_t x = secp256k1_rand_bits(bits);
- if (x < trange) {
- return (mult == 1) ? x : (x % range);
- }
+ /* Generation loop. */
+ while (1) {
+ uint32_t val = testrand64() & mask;
+ if (val <= range) return val;
}
}
-static void secp256k1_rand256(unsigned char *b32) {
- secp256k1_rfc6979_hmac_sha256_generate(&secp256k1_test_rng, b32, 32);
+static void testrand256(unsigned char *b32) {
+ int i;
+ for (i = 0; i < 4; ++i) {
+ uint64_t val = testrand64();
+ b32[0] = val;
+ b32[1] = val >> 8;
+ b32[2] = val >> 16;
+ b32[3] = val >> 24;
+ b32[4] = val >> 32;
+ b32[5] = val >> 40;
+ b32[6] = val >> 48;
+ b32[7] = val >> 56;
+ b32 += 8;
+ }
}
-static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len) {
+static void testrand_bytes_test(unsigned char *bytes, size_t len) {
size_t bits = 0;
memset(bytes, 0, len);
while (bits < len * 8) {
int now;
uint32_t val;
- now = 1 + (secp256k1_rand_bits(6) * secp256k1_rand_bits(5) + 16) / 31;
- val = secp256k1_rand_bits(1);
+ now = 1 + (testrand_bits(6) * testrand_bits(5) + 16) / 31;
+ val = testrand_bits(1);
while (now > 0 && bits < len * 8) {
bytes[bits / 8] |= val << (bits % 8);
now--;
@@ -103,8 +113,55 @@ static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len) {
}
}
-static void secp256k1_rand256_test(unsigned char *b32) {
- secp256k1_rand_bytes_test(b32, 32);
+static void testrand256_test(unsigned char *b32) {
+ testrand_bytes_test(b32, 32);
+}
+
+static void testrand_flip(unsigned char *b, size_t len) {
+ b[testrand_int(len)] ^= (1 << testrand_bits(3));
+}
+
+static void testrand_init(const char* hexseed) {
+ unsigned char seed16[16] = {0};
+ if (hexseed && strlen(hexseed) != 0) {
+ int pos = 0;
+ while (pos < 16 && hexseed[0] != 0 && hexseed[1] != 0) {
+ unsigned short sh;
+ if ((sscanf(hexseed, "%2hx", &sh)) == 1) {
+ seed16[pos] = sh;
+ } else {
+ break;
+ }
+ hexseed += 2;
+ pos++;
+ }
+ } else {
+ FILE *frand = fopen("/dev/urandom", "rb");
+ if ((frand == NULL) || fread(&seed16, 1, sizeof(seed16), frand) != sizeof(seed16)) {
+ uint64_t t = time(NULL) * (uint64_t)1337;
+ fprintf(stderr, "WARNING: could not read 16 bytes from /dev/urandom; falling back to insecure PRNG\n");
+ seed16[0] ^= t;
+ seed16[1] ^= t >> 8;
+ seed16[2] ^= t >> 16;
+ seed16[3] ^= t >> 24;
+ seed16[4] ^= t >> 32;
+ seed16[5] ^= t >> 40;
+ seed16[6] ^= t >> 48;
+ seed16[7] ^= t >> 56;
+ }
+ if (frand) {
+ fclose(frand);
+ }
+ }
+
+ printf("random seed = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", seed16[0], seed16[1], seed16[2], seed16[3], seed16[4], seed16[5], seed16[6], seed16[7], seed16[8], seed16[9], seed16[10], seed16[11], seed16[12], seed16[13], seed16[14], seed16[15]);
+ testrand_seed(seed16);
+}
+
+static void testrand_finish(void) {
+ unsigned char run32[32];
+ testrand256(run32);
+ printf("random run = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", run32[0], run32[1], run32[2], run32[3], run32[4], run32[5], run32[6], run32[7], run32[8], run32[9], run32[10], run32[11], run32[12], run32[13], run32[14], run32[15]);
}
-#endif
+#endif /* SECP256K1_TESTRAND_IMPL_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/tests.c b/go-ethereum/crypto/secp256k1/libsecp256k1/src/tests.c
index a031307f..88628a14 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/tests.c
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/tests.c
@@ -1,51 +1,89 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
-#endif
+/***********************************************************************
+ * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#include
#include
+#include
#include
+#ifdef USE_EXTERNAL_DEFAULT_CALLBACKS
+ #pragma message("Ignoring USE_EXTERNAL_CALLBACKS in tests.")
+ #undef USE_EXTERNAL_DEFAULT_CALLBACKS
+#endif
+#if defined(VERIFY) && defined(COVERAGE)
+ #pragma message("Defining VERIFY for tests being built for coverage analysis support is meaningless.")
+#endif
#include "secp256k1.c"
-#include "include/secp256k1.h"
+
+#include "../include/secp256k1.h"
+#include "../include/secp256k1_preallocated.h"
#include "testrand_impl.h"
+#include "checkmem.h"
+#include "testutil.h"
+#include "util.h"
-#ifdef ENABLE_OPENSSL_TESTS
-#include "openssl/bn.h"
-#include "openssl/ec.h"
-#include "openssl/ecdsa.h"
-#include "openssl/obj_mac.h"
-#endif
+#include "../contrib/lax_der_parsing.c"
+#include "../contrib/lax_der_privatekey_parsing.c"
-#include "contrib/lax_der_parsing.c"
-#include "contrib/lax_der_privatekey_parsing.c"
-
-#if !defined(VG_CHECK)
-# if defined(VALGRIND)
-# include
-# define VG_UNDEF(x,y) VALGRIND_MAKE_MEM_UNDEFINED((x),(y))
-# define VG_CHECK(x,y) VALGRIND_CHECK_MEM_IS_DEFINED((x),(y))
-# else
-# define VG_UNDEF(x,y)
-# define VG_CHECK(x,y)
-# endif
+#include "modinv32_impl.h"
+#ifdef SECP256K1_WIDEMUL_INT128
+#include "modinv64_impl.h"
+#include "int128_impl.h"
#endif
-static int count = 64;
-static secp256k1_context *ctx = NULL;
+#define CONDITIONAL_TEST(cnt, nam) if (COUNT < (cnt)) { printf("Skipping %s (iteration count too low)\n", nam); } else
+
+static int COUNT = 16;
+static secp256k1_context *CTX = NULL;
+static secp256k1_context *STATIC_CTX = NULL;
-static void counting_illegal_callback_fn(const char* str, void* data) {
+static int all_bytes_equal(const void* s, unsigned char value, size_t n) {
+ const unsigned char *p = s;
+ size_t i;
+
+ for (i = 0; i < n; i++) {
+ if (p[i] != value) {
+ return 0;
+ }
+ }
+ return 1;
+}
+
+#define CHECK_COUNTING_CALLBACK_VOID(ctx, expr_or_stmt, callback, callback_setter) do { \
+ int32_t _calls_to_callback = 0; \
+ secp256k1_callback _saved_callback = ctx->callback; \
+ callback_setter(ctx, counting_callback_fn, &_calls_to_callback); \
+ { expr_or_stmt; } \
+ ctx->callback = _saved_callback; \
+ CHECK(_calls_to_callback == 1); \
+} while(0);
+
+/* CHECK that expr_or_stmt calls the error or illegal callback of ctx exactly once
+ *
+ * Useful for checking functions that return void (e.g., API functions that use ARG_CHECK_VOID) */
+#define CHECK_ERROR_VOID(ctx, expr_or_stmt) \
+ CHECK_COUNTING_CALLBACK_VOID(ctx, expr_or_stmt, error_callback, secp256k1_context_set_error_callback)
+#define CHECK_ILLEGAL_VOID(ctx, expr_or_stmt) \
+ CHECK_COUNTING_CALLBACK_VOID(ctx, expr_or_stmt, illegal_callback, secp256k1_context_set_illegal_callback)
+
+/* CHECK that
+ * - expr calls the illegal callback of ctx exactly once and,
+ * - expr == 0 (or equivalently, expr == NULL)
+ *
+ * Useful for checking functions that return an integer or a pointer. */
+#define CHECK_ILLEGAL(ctx, expr) CHECK_ILLEGAL_VOID(ctx, CHECK((expr) == 0))
+#define CHECK_ERROR(ctx, expr) CHECK_ERROR_VOID(ctx, CHECK((expr) == 0))
+
+static void counting_callback_fn(const char* str, void* data) {
/* Dummy callback function that just counts. */
int32_t *p;
(void)str;
p = data;
+ CHECK(*p != INT32_MAX);
(*p)++;
}
@@ -54,198 +92,375 @@ static void uncounting_illegal_callback_fn(const char* str, void* data) {
int32_t *p;
(void)str;
p = data;
+ CHECK(*p != INT32_MIN);
(*p)--;
}
-void random_field_element_test(secp256k1_fe *fe) {
- do {
- unsigned char b32[32];
- secp256k1_rand256_test(b32);
- if (secp256k1_fe_set_b32(fe, b32)) {
- break;
+static void run_xoshiro256pp_tests(void) {
+ {
+ size_t i;
+ /* Sanity check that we run before the actual seeding. */
+ for (i = 0; i < sizeof(secp256k1_test_state)/sizeof(secp256k1_test_state[0]); i++) {
+ CHECK(secp256k1_test_state[i] == 0);
}
- } while(1);
-}
-
-void random_field_element_magnitude(secp256k1_fe *fe) {
- secp256k1_fe zero;
- int n = secp256k1_rand_int(9);
- secp256k1_fe_normalize(fe);
- if (n == 0) {
- return;
}
- secp256k1_fe_clear(&zero);
- secp256k1_fe_negate(&zero, &zero, 0);
- secp256k1_fe_mul_int(&zero, n - 1);
- secp256k1_fe_add(fe, &zero);
- VERIFY_CHECK(fe->magnitude == n);
+ {
+ int i;
+ unsigned char buf32[32];
+ unsigned char seed16[16] = {
+ 'C', 'H', 'I', 'C', 'K', 'E', 'N', '!',
+ 'C', 'H', 'I', 'C', 'K', 'E', 'N', '!',
+ };
+ unsigned char buf32_expected[32] = {
+ 0xAF, 0xCC, 0xA9, 0x16, 0xB5, 0x6C, 0xE3, 0xF0,
+ 0x44, 0x3F, 0x45, 0xE0, 0x47, 0xA5, 0x08, 0x36,
+ 0x4C, 0xCC, 0xC1, 0x18, 0xB2, 0xD8, 0x8F, 0xEF,
+ 0x43, 0x26, 0x15, 0x57, 0x37, 0x00, 0xEF, 0x30,
+ };
+ testrand_seed(seed16);
+ for (i = 0; i < 17; i++) {
+ testrand256(buf32);
+ }
+ CHECK(secp256k1_memcmp_var(buf32, buf32_expected, sizeof(buf32)) == 0);
+ }
}
-void random_group_element_test(secp256k1_ge *ge) {
- secp256k1_fe fe;
- do {
- random_field_element_test(&fe);
- if (secp256k1_ge_set_xo_var(ge, &fe, secp256k1_rand_bits(1))) {
- secp256k1_fe_normalize(&ge->y);
- break;
- }
- } while(1);
+static void run_selftest_tests(void) {
+ /* Test public API */
+ secp256k1_selftest();
}
-void random_group_element_jacobian_test(secp256k1_gej *gej, const secp256k1_ge *ge) {
- secp256k1_fe z2, z3;
- do {
- random_field_element_test(&gej->z);
- if (!secp256k1_fe_is_zero(&gej->z)) {
- break;
- }
- } while(1);
- secp256k1_fe_sqr(&z2, &gej->z);
- secp256k1_fe_mul(&z3, &z2, &gej->z);
- secp256k1_fe_mul(&gej->x, &ge->x, &z2);
- secp256k1_fe_mul(&gej->y, &ge->y, &z3);
- gej->infinity = ge->infinity;
+static int ecmult_gen_context_eq(const secp256k1_ecmult_gen_context *a, const secp256k1_ecmult_gen_context *b) {
+ return a->built == b->built
+ && secp256k1_scalar_eq(&a->scalar_offset, &b->scalar_offset)
+ && secp256k1_ge_eq_var(&a->ge_offset, &b->ge_offset)
+ && secp256k1_fe_equal(&a->proj_blind, &b->proj_blind);
}
-void random_scalar_order_test(secp256k1_scalar *num) {
- do {
- unsigned char b32[32];
- int overflow = 0;
- secp256k1_rand256_test(b32);
- secp256k1_scalar_set_b32(num, b32, &overflow);
- if (overflow || secp256k1_scalar_is_zero(num)) {
- continue;
- }
- break;
- } while(1);
+static int context_eq(const secp256k1_context *a, const secp256k1_context *b) {
+ return a->declassify == b->declassify
+ && ecmult_gen_context_eq(&a->ecmult_gen_ctx, &b->ecmult_gen_ctx)
+ && a->illegal_callback.fn == b->illegal_callback.fn
+ && a->illegal_callback.data == b->illegal_callback.data
+ && a->error_callback.fn == b->error_callback.fn
+ && a->error_callback.data == b->error_callback.data;
}
-void random_scalar_order(secp256k1_scalar *num) {
- do {
- unsigned char b32[32];
- int overflow = 0;
- secp256k1_rand256(b32);
- secp256k1_scalar_set_b32(num, b32, &overflow);
- if (overflow || secp256k1_scalar_is_zero(num)) {
- continue;
- }
- break;
- } while(1);
+static void run_deprecated_context_flags_test(void) {
+ /* Check that a context created with any of the flags in the flags array is
+ * identical to the NONE context. */
+ unsigned int flags[] = { SECP256K1_CONTEXT_SIGN,
+ SECP256K1_CONTEXT_VERIFY,
+ SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY };
+ secp256k1_context *none_ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+ int i;
+ for (i = 0; i < (int)(sizeof(flags)/sizeof(flags[0])); i++) {
+ secp256k1_context *tmp_ctx;
+ CHECK(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE) == secp256k1_context_preallocated_size(flags[i]));
+ tmp_ctx = secp256k1_context_create(flags[i]);
+ CHECK(context_eq(none_ctx, tmp_ctx));
+ secp256k1_context_destroy(tmp_ctx);
+ }
+ secp256k1_context_destroy(none_ctx);
}
-void run_context_tests(void) {
+static void run_ec_illegal_argument_tests(void) {
secp256k1_pubkey pubkey;
+ secp256k1_pubkey zero_pubkey;
secp256k1_ecdsa_signature sig;
unsigned char ctmp[32];
- int32_t ecount;
- int32_t ecount2;
- secp256k1_context *none = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_NONE);
- secp256k1_context *sign = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
- secp256k1_context *vrfy = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
- secp256k1_context *both = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+
+ /* Setup */
+ memset(ctmp, 1, 32);
+ memset(&zero_pubkey, 0, sizeof(zero_pubkey));
+
+ /* Verify context-type checking illegal-argument errors. */
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_ec_pubkey_create(STATIC_CTX, &pubkey, ctmp));
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 1);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_ecdsa_sign(STATIC_CTX, &sig, ctmp, ctmp, NULL, NULL));
+ SECP256K1_CHECKMEM_UNDEFINE(&sig, sizeof(sig));
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig, ctmp, ctmp, NULL, NULL) == 1);
+ SECP256K1_CHECKMEM_CHECK(&sig, sizeof(sig));
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, ctmp, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_verify(STATIC_CTX, &sig, ctmp, &pubkey) == 1);
+ CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp) == 1);
+ CHECK(secp256k1_ec_pubkey_tweak_add(STATIC_CTX, &pubkey, ctmp) == 1);
+ CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, ctmp) == 1);
+ CHECK(secp256k1_ec_pubkey_negate(STATIC_CTX, &pubkey) == 1);
+ CHECK(secp256k1_ec_pubkey_negate(CTX, &pubkey) == 1);
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_ec_pubkey_negate(STATIC_CTX, &zero_pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_negate(CTX, NULL));
+ CHECK(secp256k1_ec_pubkey_tweak_mul(STATIC_CTX, &pubkey, ctmp) == 1);
+}
+
+static void run_static_context_tests(int use_prealloc) {
+ /* Check that deprecated secp256k1_context_no_precomp is an alias to secp256k1_context_static. */
+ CHECK(secp256k1_context_no_precomp == secp256k1_context_static);
+
+ {
+ unsigned char seed[32] = {0x17};
+
+ /* Randomizing secp256k1_context_static is not supported. */
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_randomize(STATIC_CTX, seed));
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_randomize(STATIC_CTX, NULL));
+
+ /* Destroying or cloning secp256k1_context_static is not supported. */
+ if (use_prealloc) {
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_preallocated_clone_size(STATIC_CTX));
+ {
+ secp256k1_context *my_static_ctx = malloc(sizeof(*STATIC_CTX));
+ CHECK(my_static_ctx != NULL);
+ memset(my_static_ctx, 0x2a, sizeof(*my_static_ctx));
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_preallocated_clone(STATIC_CTX, my_static_ctx));
+ CHECK(all_bytes_equal(my_static_ctx, 0x2a, sizeof(*my_static_ctx)));
+ free(my_static_ctx);
+ }
+ CHECK_ILLEGAL_VOID(STATIC_CTX, secp256k1_context_preallocated_destroy(STATIC_CTX));
+ } else {
+ CHECK_ILLEGAL(STATIC_CTX, secp256k1_context_clone(STATIC_CTX));
+ CHECK_ILLEGAL_VOID(STATIC_CTX, secp256k1_context_destroy(STATIC_CTX));
+ }
+ }
+
+ {
+ /* Verify that setting and resetting illegal callback works */
+ int32_t dummy = 0;
+ secp256k1_context_set_illegal_callback(STATIC_CTX, counting_callback_fn, &dummy);
+ CHECK(STATIC_CTX->illegal_callback.fn == counting_callback_fn);
+ CHECK(STATIC_CTX->illegal_callback.data == &dummy);
+ secp256k1_context_set_illegal_callback(STATIC_CTX, NULL, NULL);
+ CHECK(STATIC_CTX->illegal_callback.fn == secp256k1_default_illegal_callback_fn);
+ CHECK(STATIC_CTX->illegal_callback.data == NULL);
+ }
+}
+
+static void run_proper_context_tests(int use_prealloc) {
+ int32_t dummy = 0;
+ secp256k1_context *my_ctx, *my_ctx_fresh;
+ void *my_ctx_prealloc = NULL;
+ unsigned char seed[32] = {0x17};
secp256k1_gej pubj;
secp256k1_ge pub;
secp256k1_scalar msg, key, nonce;
secp256k1_scalar sigr, sigs;
- ecount = 0;
- ecount2 = 10;
- ethkit_secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount);
- ethkit_secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount2);
- ethkit_secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, NULL);
- CHECK(vrfy->error_callback.fn != sign->error_callback.fn);
+ /* Fresh reference context for comparison */
+ my_ctx_fresh = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+
+ if (use_prealloc) {
+ my_ctx_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE));
+ CHECK(my_ctx_prealloc != NULL);
+ my_ctx = secp256k1_context_preallocated_create(my_ctx_prealloc, SECP256K1_CONTEXT_NONE);
+ } else {
+ my_ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+ }
+
+ /* Randomize and reset randomization */
+ CHECK(context_eq(my_ctx, my_ctx_fresh));
+ CHECK(secp256k1_context_randomize(my_ctx, seed) == 1);
+ CHECK(!context_eq(my_ctx, my_ctx_fresh));
+ CHECK(secp256k1_context_randomize(my_ctx, NULL) == 1);
+ CHECK(context_eq(my_ctx, my_ctx_fresh));
+
+ /* set error callback (to a function that still aborts in case malloc() fails in secp256k1_context_clone() below) */
+ secp256k1_context_set_error_callback(my_ctx, secp256k1_default_illegal_callback_fn, NULL);
+ CHECK(my_ctx->error_callback.fn != secp256k1_default_error_callback_fn);
+ CHECK(my_ctx->error_callback.fn == secp256k1_default_illegal_callback_fn);
+
+ /* check if sizes for cloning are consistent */
+ CHECK(secp256k1_context_preallocated_clone_size(my_ctx) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE));
/*** clone and destroy all of them to make sure cloning was complete ***/
{
secp256k1_context *ctx_tmp;
- ctx_tmp = none; none = ethkit_secp256k1_context_clone(none); ethkit_secp256k1_context_destroy(ctx_tmp);
- ctx_tmp = sign; sign = ethkit_secp256k1_context_clone(sign); ethkit_secp256k1_context_destroy(ctx_tmp);
- ctx_tmp = vrfy; vrfy = ethkit_secp256k1_context_clone(vrfy); ethkit_secp256k1_context_destroy(ctx_tmp);
- ctx_tmp = both; both = ethkit_secp256k1_context_clone(both); ethkit_secp256k1_context_destroy(ctx_tmp);
+ if (use_prealloc) {
+ /* clone into a non-preallocated context and then again into a new preallocated one. */
+ ctx_tmp = my_ctx;
+ my_ctx = secp256k1_context_clone(my_ctx);
+ CHECK(context_eq(ctx_tmp, my_ctx));
+ secp256k1_context_preallocated_destroy(ctx_tmp);
+
+ free(my_ctx_prealloc);
+ my_ctx_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE));
+ CHECK(my_ctx_prealloc != NULL);
+ ctx_tmp = my_ctx;
+ my_ctx = secp256k1_context_preallocated_clone(my_ctx, my_ctx_prealloc);
+ CHECK(context_eq(ctx_tmp, my_ctx));
+ secp256k1_context_destroy(ctx_tmp);
+ } else {
+ /* clone into a preallocated context and then again into a new non-preallocated one. */
+ void *prealloc_tmp;
+
+ prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE));
+ CHECK(prealloc_tmp != NULL);
+ ctx_tmp = my_ctx;
+ my_ctx = secp256k1_context_preallocated_clone(my_ctx, prealloc_tmp);
+ CHECK(context_eq(ctx_tmp, my_ctx));
+ secp256k1_context_destroy(ctx_tmp);
+
+ ctx_tmp = my_ctx;
+ my_ctx = secp256k1_context_clone(my_ctx);
+ CHECK(context_eq(ctx_tmp, my_ctx));
+ secp256k1_context_preallocated_destroy(ctx_tmp);
+ free(prealloc_tmp);
+ }
}
/* Verify that the error callback makes it across the clone. */
- CHECK(vrfy->error_callback.fn != sign->error_callback.fn);
+ CHECK(my_ctx->error_callback.fn != secp256k1_default_error_callback_fn);
+ CHECK(my_ctx->error_callback.fn == secp256k1_default_illegal_callback_fn);
/* And that it resets back to default. */
- ethkit_secp256k1_context_set_error_callback(sign, NULL, NULL);
- CHECK(vrfy->error_callback.fn == sign->error_callback.fn);
+ secp256k1_context_set_error_callback(my_ctx, NULL, NULL);
+ CHECK(my_ctx->error_callback.fn == secp256k1_default_error_callback_fn);
+ CHECK(context_eq(my_ctx, my_ctx_fresh));
+
+ /* Verify that setting and resetting illegal callback works */
+ secp256k1_context_set_illegal_callback(my_ctx, counting_callback_fn, &dummy);
+ CHECK(my_ctx->illegal_callback.fn == counting_callback_fn);
+ CHECK(my_ctx->illegal_callback.data == &dummy);
+ secp256k1_context_set_illegal_callback(my_ctx, NULL, NULL);
+ CHECK(my_ctx->illegal_callback.fn == secp256k1_default_illegal_callback_fn);
+ CHECK(my_ctx->illegal_callback.data == NULL);
+ CHECK(context_eq(my_ctx, my_ctx_fresh));
/*** attempt to use them ***/
- random_scalar_order_test(&msg);
- random_scalar_order_test(&key);
- secp256k1_ecmult_gen(&both->ecmult_gen_ctx, &pubj, &key);
+ testutil_random_scalar_order_test(&msg);
+ testutil_random_scalar_order_test(&key);
+ secp256k1_ecmult_gen(&my_ctx->ecmult_gen_ctx, &pubj, &key);
secp256k1_ge_set_gej(&pub, &pubj);
- /* Verify context-type checking illegal-argument errors. */
- memset(ctmp, 1, 32);
- CHECK(ethkit_secp256k1_ec_pubkey_create(vrfy, &pubkey, ctmp) == 0);
- CHECK(ecount == 1);
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_create(sign, &pubkey, ctmp) == 1);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ecdsa_sign(vrfy, &sig, ctmp, ctmp, NULL, NULL) == 0);
- CHECK(ecount == 2);
- VG_UNDEF(&sig, sizeof(sig));
- CHECK(ethkit_secp256k1_ecdsa_sign(sign, &sig, ctmp, ctmp, NULL, NULL) == 1);
- VG_CHECK(&sig, sizeof(sig));
- CHECK(ecount2 == 10);
- CHECK(ethkit_secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 0);
- CHECK(ecount2 == 11);
- CHECK(ethkit_secp256k1_ecdsa_verify(vrfy, &sig, ctmp, &pubkey) == 1);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 0);
- CHECK(ecount2 == 12);
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(vrfy, &pubkey, ctmp) == 1);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 0);
- CHECK(ecount2 == 13);
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_mul(vrfy, &pubkey, ctmp) == 1);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_context_randomize(vrfy, ctmp) == 0);
- CHECK(ecount == 3);
- CHECK(ethkit_secp256k1_context_randomize(sign, NULL) == 1);
- CHECK(ecount2 == 13);
- ethkit_secp256k1_context_set_illegal_callback(vrfy, NULL, NULL);
- ethkit_secp256k1_context_set_illegal_callback(sign, NULL, NULL);
-
- /* This shouldn't leak memory, due to already-set tests. */
- secp256k1_ecmult_gen_context_build(&sign->ecmult_gen_ctx, NULL);
- secp256k1_ecmult_context_build(&vrfy->ecmult_ctx, NULL);
-
/* obtain a working nonce */
do {
- random_scalar_order_test(&nonce);
- } while(!secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
+ testutil_random_scalar_order_test(&nonce);
+ } while(!secp256k1_ecdsa_sig_sign(&my_ctx->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
/* try signing */
- CHECK(secp256k1_ecdsa_sig_sign(&sign->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
- CHECK(secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
+ CHECK(secp256k1_ecdsa_sig_sign(&my_ctx->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
/* try verifying */
- CHECK(secp256k1_ecdsa_sig_verify(&vrfy->ecmult_ctx, &sigr, &sigs, &pub, &msg));
- CHECK(secp256k1_ecdsa_sig_verify(&both->ecmult_ctx, &sigr, &sigs, &pub, &msg));
+ CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg));
/* cleanup */
- ethkit_secp256k1_context_destroy(none);
- ethkit_secp256k1_context_destroy(sign);
- ethkit_secp256k1_context_destroy(vrfy);
- ethkit_secp256k1_context_destroy(both);
+ if (use_prealloc) {
+ secp256k1_context_preallocated_destroy(my_ctx);
+ free(my_ctx_prealloc);
+ } else {
+ secp256k1_context_destroy(my_ctx);
+ }
+ secp256k1_context_destroy(my_ctx_fresh);
+
/* Defined as no-op. */
- ethkit_secp256k1_context_destroy(NULL);
+ secp256k1_context_destroy(NULL);
+ secp256k1_context_preallocated_destroy(NULL);
+}
+
+static void run_scratch_tests(void) {
+ const size_t adj_alloc = ((500 + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT;
+
+ size_t checkpoint;
+ size_t checkpoint_2;
+ secp256k1_scratch_space *scratch;
+ secp256k1_scratch_space local_scratch;
+
+ /* Test public API */
+ scratch = secp256k1_scratch_space_create(CTX, 1000);
+ CHECK(scratch != NULL);
+
+ /* Test internal API */
+ CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0) == 1000);
+ CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 1) == 1000 - (ALIGNMENT - 1));
+ CHECK(scratch->alloc_size == 0);
+ CHECK(scratch->alloc_size % ALIGNMENT == 0);
+
+ /* Allocating 500 bytes succeeds */
+ checkpoint = secp256k1_scratch_checkpoint(&CTX->error_callback, scratch);
+ CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, 500) != NULL);
+ CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0) == 1000 - adj_alloc);
+ CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1));
+ CHECK(scratch->alloc_size != 0);
+ CHECK(scratch->alloc_size % ALIGNMENT == 0);
+
+ /* Allocating another 501 bytes fails */
+ CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, 501) == NULL);
+ CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0) == 1000 - adj_alloc);
+ CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1));
+ CHECK(scratch->alloc_size != 0);
+ CHECK(scratch->alloc_size % ALIGNMENT == 0);
+
+ /* ...but it succeeds once we apply the checkpoint to undo it */
+ secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint);
+ CHECK(scratch->alloc_size == 0);
+ CHECK(secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0) == 1000);
+ CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, 500) != NULL);
+ CHECK(scratch->alloc_size != 0);
+
+ /* try to apply a bad checkpoint */
+ checkpoint_2 = secp256k1_scratch_checkpoint(&CTX->error_callback, scratch);
+ secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint);
+ CHECK_ERROR_VOID(CTX, secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint_2)); /* checkpoint_2 is after checkpoint */
+ CHECK_ERROR_VOID(CTX, secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, (size_t) -1)); /* this is just wildly invalid */
+
+ /* try to use badly initialized scratch space */
+ secp256k1_scratch_space_destroy(CTX, scratch);
+ memset(&local_scratch, 0, sizeof(local_scratch));
+ scratch = &local_scratch;
+ CHECK_ERROR(CTX, secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, 0));
+ CHECK_ERROR(CTX, secp256k1_scratch_alloc(&CTX->error_callback, scratch, 500));
+ CHECK_ERROR_VOID(CTX, secp256k1_scratch_space_destroy(CTX, scratch));
+
+ /* Test that large integers do not wrap around in a bad way */
+ scratch = secp256k1_scratch_space_create(CTX, 1000);
+ /* Try max allocation with a large number of objects. Only makes sense if
+ * ALIGNMENT is greater than 1 because otherwise the objects take no extra
+ * space. */
+ CHECK(ALIGNMENT <= 1 || !secp256k1_scratch_max_allocation(&CTX->error_callback, scratch, (SIZE_MAX / (ALIGNMENT - 1)) + 1));
+ /* Try allocating SIZE_MAX to test wrap around which only happens if
+ * ALIGNMENT > 1, otherwise it returns NULL anyway because the scratch
+ * space is too small. */
+ CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, SIZE_MAX) == NULL);
+ secp256k1_scratch_space_destroy(CTX, scratch);
+
+ /* cleanup */
+ secp256k1_scratch_space_destroy(CTX, NULL); /* no-op */
+}
+
+static void run_ctz_tests(void) {
+ static const uint32_t b32[] = {1, 0xffffffff, 0x5e56968f, 0xe0d63129};
+ static const uint64_t b64[] = {1, 0xffffffffffffffff, 0xbcd02462139b3fc3, 0x98b5f80c769693ef};
+ int shift;
+ unsigned i;
+ for (i = 0; i < sizeof(b32) / sizeof(b32[0]); ++i) {
+ for (shift = 0; shift < 32; ++shift) {
+ CHECK(secp256k1_ctz32_var_debruijn(b32[i] << shift) == shift);
+ CHECK(secp256k1_ctz32_var(b32[i] << shift) == shift);
+ }
+ }
+ for (i = 0; i < sizeof(b64) / sizeof(b64[0]); ++i) {
+ for (shift = 0; shift < 64; ++shift) {
+ CHECK(secp256k1_ctz64_var_debruijn(b64[i] << shift) == shift);
+ CHECK(secp256k1_ctz64_var(b64[i] << shift) == shift);
+ }
+ }
}
/***** HASH TESTS *****/
-void run_sha256_tests(void) {
- static const char *inputs[8] = {
+static void run_sha256_known_output_tests(void) {
+ static const char *inputs[] = {
"", "abc", "message digest", "secure hash algorithm", "SHA256 is considered to be safe",
"abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq",
"For this sample, this 63-byte string will be used as input data",
- "This is exactly 64 bytes long, not counting the terminating byte"
+ "This is exactly 64 bytes long, not counting the terminating byte",
+ "aaaaa",
};
- static const unsigned char outputs[8][32] = {
+ static const unsigned int repeat[] = {
+ 1, 1, 1, 1, 1, 1, 1, 1, 1000000/5
+ };
+ static const unsigned char outputs[][32] = {
{0xe3, 0xb0, 0xc4, 0x42, 0x98, 0xfc, 0x1c, 0x14, 0x9a, 0xfb, 0xf4, 0xc8, 0x99, 0x6f, 0xb9, 0x24, 0x27, 0xae, 0x41, 0xe4, 0x64, 0x9b, 0x93, 0x4c, 0xa4, 0x95, 0x99, 0x1b, 0x78, 0x52, 0xb8, 0x55},
{0xba, 0x78, 0x16, 0xbf, 0x8f, 0x01, 0xcf, 0xea, 0x41, 0x41, 0x40, 0xde, 0x5d, 0xae, 0x22, 0x23, 0xb0, 0x03, 0x61, 0xa3, 0x96, 0x17, 0x7a, 0x9c, 0xb4, 0x10, 0xff, 0x61, 0xf2, 0x00, 0x15, 0xad},
{0xf7, 0x84, 0x6f, 0x55, 0xcf, 0x23, 0xe1, 0x4e, 0xeb, 0xea, 0xb5, 0xb4, 0xe1, 0x55, 0x0c, 0xad, 0x5b, 0x50, 0x9e, 0x33, 0x48, 0xfb, 0xc4, 0xef, 0xa3, 0xa1, 0x41, 0x3d, 0x39, 0x3c, 0xb6, 0x50},
@@ -253,28 +468,158 @@ void run_sha256_tests(void) {
{0x68, 0x19, 0xd9, 0x15, 0xc7, 0x3f, 0x4d, 0x1e, 0x77, 0xe4, 0xe1, 0xb5, 0x2d, 0x1f, 0xa0, 0xf9, 0xcf, 0x9b, 0xea, 0xea, 0xd3, 0x93, 0x9f, 0x15, 0x87, 0x4b, 0xd9, 0x88, 0xe2, 0xa2, 0x36, 0x30},
{0x24, 0x8d, 0x6a, 0x61, 0xd2, 0x06, 0x38, 0xb8, 0xe5, 0xc0, 0x26, 0x93, 0x0c, 0x3e, 0x60, 0x39, 0xa3, 0x3c, 0xe4, 0x59, 0x64, 0xff, 0x21, 0x67, 0xf6, 0xec, 0xed, 0xd4, 0x19, 0xdb, 0x06, 0xc1},
{0xf0, 0x8a, 0x78, 0xcb, 0xba, 0xee, 0x08, 0x2b, 0x05, 0x2a, 0xe0, 0x70, 0x8f, 0x32, 0xfa, 0x1e, 0x50, 0xc5, 0xc4, 0x21, 0xaa, 0x77, 0x2b, 0xa5, 0xdb, 0xb4, 0x06, 0xa2, 0xea, 0x6b, 0xe3, 0x42},
- {0xab, 0x64, 0xef, 0xf7, 0xe8, 0x8e, 0x2e, 0x46, 0x16, 0x5e, 0x29, 0xf2, 0xbc, 0xe4, 0x18, 0x26, 0xbd, 0x4c, 0x7b, 0x35, 0x52, 0xf6, 0xb3, 0x82, 0xa9, 0xe7, 0xd3, 0xaf, 0x47, 0xc2, 0x45, 0xf8}
+ {0xab, 0x64, 0xef, 0xf7, 0xe8, 0x8e, 0x2e, 0x46, 0x16, 0x5e, 0x29, 0xf2, 0xbc, 0xe4, 0x18, 0x26, 0xbd, 0x4c, 0x7b, 0x35, 0x52, 0xf6, 0xb3, 0x82, 0xa9, 0xe7, 0xd3, 0xaf, 0x47, 0xc2, 0x45, 0xf8},
+ {0xcd, 0xc7, 0x6e, 0x5c, 0x99, 0x14, 0xfb, 0x92, 0x81, 0xa1, 0xc7, 0xe2, 0x84, 0xd7, 0x3e, 0x67, 0xf1, 0x80, 0x9a, 0x48, 0xa4, 0x97, 0x20, 0x0e, 0x04, 0x6d, 0x39, 0xcc, 0xc7, 0x11, 0x2c, 0xd0},
};
- int i;
- for (i = 0; i < 8; i++) {
+ unsigned int i, ninputs;
+
+ /* Skip last input vector for low iteration counts */
+ ninputs = sizeof(inputs)/sizeof(inputs[0]) - 1;
+ CONDITIONAL_TEST(16, "run_sha256_known_output_tests 1000000") ninputs++;
+
+ for (i = 0; i < ninputs; i++) {
unsigned char out[32];
- secp256k1_sha256_t hasher;
+ secp256k1_sha256 hasher;
+ unsigned int j;
+ /* 1. Run: simply write the input bytestrings */
+ j = repeat[i];
secp256k1_sha256_initialize(&hasher);
- secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i]));
+ while (j > 0) {
+ secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i]));
+ j--;
+ }
secp256k1_sha256_finalize(&hasher, out);
- CHECK(memcmp(out, outputs[i], 32) == 0);
+ CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0);
+ /* 2. Run: split the input bytestrings randomly before writing */
if (strlen(inputs[i]) > 0) {
- int split = secp256k1_rand_int(strlen(inputs[i]));
+ int split = testrand_int(strlen(inputs[i]));
secp256k1_sha256_initialize(&hasher);
- secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split);
- secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split);
+ j = repeat[i];
+ while (j > 0) {
+ secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split);
+ secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split);
+ j--;
+ }
secp256k1_sha256_finalize(&hasher, out);
- CHECK(memcmp(out, outputs[i], 32) == 0);
+ CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0);
}
}
}
-void run_hmac_sha256_tests(void) {
+/** SHA256 counter tests
+
+The tests verify that the SHA256 counter doesn't wrap around at message length
+2^i bytes for i = 20, ..., 33. This wide range aims at being independent of the
+implementation of the counter and it catches multiple natural 32-bit overflows
+(e.g., counting bits, counting bytes, counting blocks, ...).
+
+The test vectors have been generated using following Python script which relies
+on https://github.com/cloudtools/sha256/ (v0.3 on Python v3.10.2).
+
+```
+from sha256 import sha256
+from copy import copy
+
+def midstate_c_definition(hasher):
+ ret = ' {{0x' + hasher.state[0].hex('_', 4).replace('_', ', 0x') + '},\n'
+ ret += ' {0x00}, ' + str(hex(hasher.state[1])) + '}'
+ return ret
+
+def output_c_literal(hasher):
+ return '{0x' + hasher.digest().hex('_').replace('_', ', 0x') + '}'
+
+MESSAGE = b'abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmno'
+assert(len(MESSAGE) == 64)
+BYTE_BOUNDARIES = [(2**b)//len(MESSAGE) - 1 for b in range(20, 34)]
+
+midstates = []
+digests = []
+hasher = sha256()
+for i in range(BYTE_BOUNDARIES[-1] + 1):
+ if i in BYTE_BOUNDARIES:
+ midstates.append(midstate_c_definition(hasher))
+ hasher_copy = copy(hasher)
+ hasher_copy.update(MESSAGE)
+ digests.append(output_c_literal(hasher_copy))
+ hasher.update(MESSAGE)
+
+for x in midstates:
+ print(x + ',')
+
+for x in digests:
+ print(x + ',')
+```
+*/
+static void run_sha256_counter_tests(void) {
+ static const char *input = "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmno";
+ static const secp256k1_sha256 midstates[] = {
+ {{0xa2b5c8bb, 0x26c88bb3, 0x2abdc3d2, 0x9def99a3, 0xdfd21a6e, 0x41fe585b, 0x7ef2c440, 0x2b79adda},
+ {0x00}, 0xfffc0},
+ {{0xa0d29445, 0x9287de66, 0x76aabd71, 0x41acd765, 0x0c7528b4, 0x84e14906, 0x942faec6, 0xcc5a7b26},
+ {0x00}, 0x1fffc0},
+ {{0x50449526, 0xb9f1d657, 0xa0fc13e9, 0x50860f10, 0xa550c431, 0x3fbc97c1, 0x7bbb2d89, 0xdb67bac1},
+ {0x00}, 0x3fffc0},
+ {{0x54a6efdc, 0x46762e7b, 0x88bfe73f, 0xbbd149c7, 0x41620c43, 0x1168da7b, 0x2c5960f9, 0xeccffda6},
+ {0x00}, 0x7fffc0},
+ {{0x2515a8f5, 0x5faa2977, 0x3a850486, 0xac858cad, 0x7b7276ee, 0x235c0385, 0xc53a157c, 0x7cb3e69c},
+ {0x00}, 0xffffc0},
+ {{0x34f39828, 0x409fedb7, 0x4bbdd0fb, 0x3b643634, 0x7806bf2e, 0xe0d1b713, 0xca3f2e1e, 0xe38722c2},
+ {0x00}, 0x1ffffc0},
+ {{0x389ef5c5, 0x38c54167, 0x8f5d56ab, 0x582a75cc, 0x8217caef, 0xf10947dd, 0x6a1998a8, 0x048f0b8c},
+ {0x00}, 0x3ffffc0},
+ {{0xd6c3f394, 0x0bee43b9, 0x6783f497, 0x29fa9e21, 0x6ce491c1, 0xa81fe45e, 0x2fc3859a, 0x269012d0},
+ {0x00}, 0x7ffffc0},
+ {{0x6dd3c526, 0x44d88aa0, 0x806a1bae, 0xfbcc0d32, 0x9d6144f3, 0x9d2bd757, 0x9851a957, 0xb50430ad},
+ {0x00}, 0xfffffc0},
+ {{0x2add4021, 0xdfe8a9e6, 0xa56317c6, 0x7a15f5bb, 0x4a48aacd, 0x5d368414, 0x4f00e6f0, 0xd9355023},
+ {0x00}, 0x1fffffc0},
+ {{0xb66666b4, 0xdbeac32b, 0x0ea351ae, 0xcba9da46, 0x6278b874, 0x8c508e23, 0xe16ca776, 0x8465bac1},
+ {0x00}, 0x3fffffc0},
+ {{0xb6744789, 0x9cce87aa, 0xc4c478b7, 0xf38404d8, 0x2e38ba62, 0xa3f7019b, 0x50458fe7, 0x3047dbec},
+ {0x00}, 0x7fffffc0},
+ {{0x8b1297ba, 0xba261a80, 0x2ba1b0dd, 0xfbc67d6d, 0x61072c4e, 0x4b5a2a0f, 0x52872760, 0x2dfeb162},
+ {0x00}, 0xffffffc0},
+ {{0x24f33cf7, 0x41ad6583, 0x41c8ff5d, 0xca7ef35f, 0x50395756, 0x021b743e, 0xd7126cd7, 0xd037473a},
+ {0x00}, 0x1ffffffc0},
+ };
+ static const unsigned char outputs[][32] = {
+ {0x0e, 0x83, 0xe2, 0xc9, 0x4f, 0xb2, 0xb8, 0x2b, 0x89, 0x06, 0x92, 0x78, 0x04, 0x03, 0x48, 0x5c, 0x48, 0x44, 0x67, 0x61, 0x77, 0xa4, 0xc7, 0x90, 0x9e, 0x92, 0x55, 0x10, 0x05, 0xfe, 0x39, 0x15},
+ {0x1d, 0x1e, 0xd7, 0xb8, 0xa3, 0xa7, 0x8a, 0x79, 0xfd, 0xa0, 0x05, 0x08, 0x9c, 0xeb, 0xf0, 0xec, 0x67, 0x07, 0x9f, 0x8e, 0x3c, 0x0d, 0x8e, 0xf9, 0x75, 0x55, 0x13, 0xc1, 0xe8, 0x77, 0xf8, 0xbb},
+ {0x66, 0x95, 0x6c, 0xc9, 0xe0, 0x39, 0x65, 0xb6, 0xb0, 0x05, 0xd1, 0xaf, 0xaf, 0xf3, 0x1d, 0xb9, 0xa4, 0xda, 0x6f, 0x20, 0xcd, 0x3a, 0xae, 0x64, 0xc2, 0xdb, 0xee, 0xf5, 0xb8, 0x8d, 0x57, 0x0e},
+ {0x3c, 0xbb, 0x1c, 0x12, 0x5e, 0x17, 0xfd, 0x54, 0x90, 0x45, 0xa7, 0x7b, 0x61, 0x6c, 0x1d, 0xfe, 0xe6, 0xcc, 0x7f, 0xee, 0xcf, 0xef, 0x33, 0x35, 0x50, 0x62, 0x16, 0x70, 0x2f, 0x87, 0xc3, 0xc9},
+ {0x53, 0x4d, 0xa8, 0xe7, 0x1e, 0x98, 0x73, 0x8d, 0xd9, 0xa3, 0x54, 0xa5, 0x0e, 0x59, 0x2c, 0x25, 0x43, 0x6f, 0xaa, 0xa2, 0xf5, 0x21, 0x06, 0x3e, 0xc9, 0x82, 0x06, 0x94, 0x98, 0x72, 0x9d, 0xa7},
+ {0xef, 0x7e, 0xe9, 0x6b, 0xd3, 0xe5, 0xb7, 0x41, 0x4c, 0xc8, 0xd3, 0x07, 0x52, 0x9a, 0x5a, 0x8b, 0x4e, 0x1e, 0x75, 0xa4, 0x17, 0x78, 0xc8, 0x36, 0xcd, 0xf8, 0x2e, 0xd9, 0x57, 0xe3, 0xd7, 0x07},
+ {0x87, 0x16, 0xfb, 0xf9, 0xa5, 0xf8, 0xc4, 0x56, 0x2b, 0x48, 0x52, 0x8e, 0x2d, 0x30, 0x85, 0xb6, 0x4c, 0x56, 0xb5, 0xd1, 0x16, 0x9c, 0xcf, 0x32, 0x95, 0xad, 0x03, 0xe8, 0x05, 0x58, 0x06, 0x76},
+ {0x75, 0x03, 0x80, 0x28, 0xf2, 0xa7, 0x63, 0x22, 0x1a, 0x26, 0x9c, 0x68, 0xe0, 0x58, 0xfc, 0x73, 0xeb, 0x42, 0xf6, 0x86, 0x16, 0x24, 0x4b, 0xbc, 0x24, 0xf7, 0x02, 0xc8, 0x3d, 0x90, 0xe2, 0xb0},
+ {0xdf, 0x49, 0x0f, 0x15, 0x7b, 0x7d, 0xbf, 0xe0, 0xd4, 0xcf, 0x47, 0xc0, 0x80, 0x93, 0x4a, 0x61, 0xaa, 0x03, 0x07, 0x66, 0xb3, 0x38, 0x5d, 0xc8, 0xc9, 0x07, 0x61, 0xfb, 0x97, 0x10, 0x2f, 0xd8},
+ {0x77, 0x19, 0x40, 0x56, 0x41, 0xad, 0xbc, 0x59, 0xda, 0x1e, 0xc5, 0x37, 0x14, 0x63, 0x7b, 0xfb, 0x79, 0xe2, 0x7a, 0xb1, 0x55, 0x42, 0x99, 0x42, 0x56, 0xfe, 0x26, 0x9d, 0x0f, 0x7e, 0x80, 0xc6},
+ {0x50, 0xe7, 0x2a, 0x0e, 0x26, 0x44, 0x2f, 0xe2, 0x55, 0x2d, 0xc3, 0x93, 0x8a, 0xc5, 0x86, 0x58, 0x22, 0x8c, 0x0c, 0xbf, 0xb1, 0xd2, 0xca, 0x87, 0x2a, 0xe4, 0x35, 0x26, 0x6f, 0xcd, 0x05, 0x5e},
+ {0xe4, 0x80, 0x6f, 0xdb, 0x3d, 0x7d, 0xba, 0xde, 0x50, 0x3f, 0xea, 0x00, 0x3d, 0x46, 0x59, 0x64, 0xfd, 0x58, 0x1c, 0xa1, 0xb8, 0x7d, 0x5f, 0xac, 0x94, 0x37, 0x9e, 0xa0, 0xc0, 0x9c, 0x93, 0x8b},
+ {0x2c, 0xf3, 0xa9, 0xf6, 0x15, 0x25, 0x80, 0x70, 0x76, 0x99, 0x7d, 0xf1, 0xc3, 0x2f, 0xa3, 0x31, 0xff, 0x92, 0x35, 0x2e, 0x8d, 0x04, 0x13, 0x33, 0xd8, 0x0d, 0xdb, 0x4a, 0xf6, 0x8c, 0x03, 0x34},
+ {0xec, 0x12, 0x24, 0x9f, 0x35, 0xa4, 0x29, 0x8b, 0x9e, 0x4a, 0x95, 0xf8, 0x61, 0xaf, 0x61, 0xc5, 0x66, 0x55, 0x3e, 0x3f, 0x2a, 0x98, 0xea, 0x71, 0x16, 0x6b, 0x1c, 0xd9, 0xe4, 0x09, 0xd2, 0x8e},
+ };
+ unsigned int i;
+ for (i = 0; i < sizeof(midstates)/sizeof(midstates[0]); i++) {
+ unsigned char out[32];
+ secp256k1_sha256 hasher = midstates[i];
+ secp256k1_sha256_write(&hasher, (const unsigned char*)input, strlen(input));
+ secp256k1_sha256_finalize(&hasher, out);
+ CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0);
+ }
+}
+
+/* Tests for the equality of two sha256 structs. This function only produces a
+ * correct result if an integer multiple of 64 many bytes have been written
+ * into the hash functions. This function is used by some module tests. */
+static void test_sha256_eq(const secp256k1_sha256 *sha1, const secp256k1_sha256 *sha2) {
+ /* Is buffer fully consumed? */
+ CHECK((sha1->bytes & 0x3F) == 0);
+
+ CHECK(sha1->bytes == sha2->bytes);
+ CHECK(secp256k1_memcmp_var(sha1->s, sha2->s, sizeof(sha1->s)) == 0);
+}
+
+static void run_hmac_sha256_tests(void) {
static const char *keys[6] = {
"\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b\x0b",
"\x4a\x65\x66\x65",
@@ -301,24 +646,24 @@ void run_hmac_sha256_tests(void) {
};
int i;
for (i = 0; i < 6; i++) {
- secp256k1_hmac_sha256_t hasher;
+ secp256k1_hmac_sha256 hasher;
unsigned char out[32];
secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i]));
secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i]));
secp256k1_hmac_sha256_finalize(&hasher, out);
- CHECK(memcmp(out, outputs[i], 32) == 0);
+ CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0);
if (strlen(inputs[i]) > 0) {
- int split = secp256k1_rand_int(strlen(inputs[i]));
+ int split = testrand_int(strlen(inputs[i]));
secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i]));
secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split);
secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split);
secp256k1_hmac_sha256_finalize(&hasher, out);
- CHECK(memcmp(out, outputs[i], 32) == 0);
+ CHECK(secp256k1_memcmp_var(out, outputs[i], 32) == 0);
}
}
}
-void run_rfc6979_hmac_sha256_tests(void) {
+static void run_rfc6979_hmac_sha256_tests(void) {
static const unsigned char key1[65] = {0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x00, 0x4b, 0xf5, 0x12, 0x2f, 0x34, 0x45, 0x54, 0xc5, 0x3b, 0xde, 0x2e, 0xbb, 0x8c, 0xd2, 0xb7, 0xe3, 0xd1, 0x60, 0x0a, 0xd6, 0x31, 0xc3, 0x85, 0xa5, 0xd7, 0xcc, 0xe2, 0x3c, 0x77, 0x85, 0x45, 0x9a, 0};
static const unsigned char out1[3][32] = {
{0x4f, 0xe2, 0x95, 0x25, 0xb2, 0x08, 0x68, 0x09, 0x15, 0x9a, 0xcd, 0xf0, 0x50, 0x6e, 0xfb, 0x86, 0xb0, 0xec, 0x93, 0x2c, 0x7b, 0xa4, 0x42, 0x56, 0xab, 0x32, 0x1e, 0x42, 0x1e, 0x67, 0xe9, 0xfb},
@@ -333,322 +678,1354 @@ void run_rfc6979_hmac_sha256_tests(void) {
{0x75, 0x97, 0x88, 0x7c, 0xbd, 0x76, 0x32, 0x1f, 0x32, 0xe3, 0x04, 0x40, 0x67, 0x9a, 0x22, 0xcf, 0x7f, 0x8d, 0x9d, 0x2e, 0xac, 0x39, 0x0e, 0x58, 0x1f, 0xea, 0x09, 0x1c, 0xe2, 0x02, 0xba, 0x94}
};
- secp256k1_rfc6979_hmac_sha256_t rng;
+ secp256k1_rfc6979_hmac_sha256 rng;
unsigned char out[32];
int i;
secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 64);
for (i = 0; i < 3; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32);
- CHECK(memcmp(out, out1[i], 32) == 0);
+ CHECK(secp256k1_memcmp_var(out, out1[i], 32) == 0);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
secp256k1_rfc6979_hmac_sha256_initialize(&rng, key1, 65);
for (i = 0; i < 3; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32);
- CHECK(memcmp(out, out1[i], 32) != 0);
+ CHECK(secp256k1_memcmp_var(out, out1[i], 32) != 0);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
secp256k1_rfc6979_hmac_sha256_initialize(&rng, key2, 64);
for (i = 0; i < 3; i++) {
secp256k1_rfc6979_hmac_sha256_generate(&rng, out, 32);
- CHECK(memcmp(out, out2[i], 32) == 0);
+ CHECK(secp256k1_memcmp_var(out, out2[i], 32) == 0);
}
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
}
-/***** RANDOM TESTS *****/
-
-void test_rand_bits(int rand32, int bits) {
- /* (1-1/2^B)^rounds[B] < 1/10^9, so rounds is the number of iterations to
- * get a false negative chance below once in a billion */
- static const unsigned int rounds[7] = {1, 30, 73, 156, 322, 653, 1316};
- /* We try multiplying the results with various odd numbers, which shouldn't
- * influence the uniform distribution modulo a power of 2. */
- static const uint32_t mults[6] = {1, 3, 21, 289, 0x9999, 0x80402011};
- /* We only select up to 6 bits from the output to analyse */
- unsigned int usebits = bits > 6 ? 6 : bits;
- unsigned int maxshift = bits - usebits;
- /* For each of the maxshift+1 usebits-bit sequences inside a bits-bit
- number, track all observed outcomes, one per bit in a uint64_t. */
- uint64_t x[6][27] = {{0}};
- unsigned int i, shift, m;
- /* Multiply the output of all rand calls with the odd number m, which
- should not change the uniformity of its distribution. */
- for (i = 0; i < rounds[usebits]; i++) {
- uint32_t r = (rand32 ? secp256k1_rand32() : secp256k1_rand_bits(bits));
- CHECK((((uint64_t)r) >> bits) == 0);
- for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) {
- uint32_t rm = r * mults[m];
- for (shift = 0; shift <= maxshift; shift++) {
- x[m][shift] |= (((uint64_t)1) << ((rm >> shift) & ((1 << usebits) - 1)));
+static void run_tagged_sha256_tests(void) {
+ unsigned char tag[32] = { 0 };
+ unsigned char msg[32] = { 0 };
+ unsigned char hash32[32];
+ unsigned char hash_expected[32] = {
+ 0x04, 0x7A, 0x5E, 0x17, 0xB5, 0x86, 0x47, 0xC1,
+ 0x3C, 0xC6, 0xEB, 0xC0, 0xAA, 0x58, 0x3B, 0x62,
+ 0xFB, 0x16, 0x43, 0x32, 0x68, 0x77, 0x40, 0x6C,
+ 0xE2, 0x76, 0x55, 0x9A, 0x3B, 0xDE, 0x55, 0xB3
+ };
+
+ /* API test */
+ CHECK(secp256k1_tagged_sha256(CTX, hash32, tag, sizeof(tag), msg, sizeof(msg)) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_tagged_sha256(CTX, NULL, tag, sizeof(tag), msg, sizeof(msg)));
+ CHECK_ILLEGAL(CTX, secp256k1_tagged_sha256(CTX, hash32, NULL, 0, msg, sizeof(msg)));
+ CHECK_ILLEGAL(CTX, secp256k1_tagged_sha256(CTX, hash32, tag, sizeof(tag), NULL, 0));
+
+ /* Static test vector */
+ memcpy(tag, "tag", 3);
+ memcpy(msg, "msg", 3);
+ CHECK(secp256k1_tagged_sha256(CTX, hash32, tag, 3, msg, 3) == 1);
+ CHECK(secp256k1_memcmp_var(hash32, hash_expected, sizeof(hash32)) == 0);
+}
+
+/***** MODINV TESTS *****/
+
+/* Compute the modular inverse of (odd) x mod 2^64. */
+static uint64_t modinv2p64(uint64_t x) {
+ /* If w = 1/x mod 2^(2^L), then w*(2 - w*x) = 1/x mod 2^(2^(L+1)). See
+ * Hacker's Delight second edition, Henry S. Warren, Jr., pages 245-247 for
+ * why. Start with L=0, for which it is true for every odd x that
+ * 1/x=1 mod 2. Iterating 6 times gives us 1/x mod 2^64. */
+ int l;
+ uint64_t w = 1;
+ CHECK(x & 1);
+ for (l = 0; l < 6; ++l) w *= (2 - w*x);
+ return w;
+}
+
+
+/* compute out = (a*b) mod m; if b=NULL, treat b=1; if m=NULL, treat m=infinity.
+ *
+ * Out is a 512-bit number (represented as 32 uint16_t's in LE order). The other
+ * arguments are 256-bit numbers (represented as 16 uint16_t's in LE order). */
+static void mulmod256(uint16_t* out, const uint16_t* a, const uint16_t* b, const uint16_t* m) {
+ uint16_t mul[32];
+ uint64_t c = 0;
+ int i, j;
+ int m_bitlen = 0;
+ int mul_bitlen = 0;
+
+ if (b != NULL) {
+ /* Compute the product of a and b, and put it in mul. */
+ for (i = 0; i < 32; ++i) {
+ for (j = i <= 15 ? 0 : i - 15; j <= i && j <= 15; j++) {
+ c += (uint64_t)a[j] * b[i - j];
+ }
+ mul[i] = c & 0xFFFF;
+ c >>= 16;
+ }
+ CHECK(c == 0);
+
+ /* compute the highest set bit in mul */
+ for (i = 511; i >= 0; --i) {
+ if ((mul[i >> 4] >> (i & 15)) & 1) {
+ mul_bitlen = i;
+ break;
+ }
+ }
+ } else {
+ /* if b==NULL, set mul=a. */
+ memcpy(mul, a, 32);
+ memset(mul + 16, 0, 32);
+ /* compute the highest set bit in mul */
+ for (i = 255; i >= 0; --i) {
+ if ((mul[i >> 4] >> (i & 15)) & 1) {
+ mul_bitlen = i;
+ break;
}
}
}
- for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) {
- for (shift = 0; shift <= maxshift; shift++) {
- /* Test that the lower usebits bits of x[shift] are 1 */
- CHECK(((~x[m][shift]) << (64 - (1 << usebits))) == 0);
+
+ if (m) {
+ /* Compute the highest set bit in m. */
+ for (i = 255; i >= 0; --i) {
+ if ((m[i >> 4] >> (i & 15)) & 1) {
+ m_bitlen = i;
+ break;
+ }
+ }
+
+ /* Try do mul -= m<= 0; --i) {
+ uint16_t mul2[32];
+ int64_t cs;
+
+ /* Compute mul2 = mul - m<= 0 && bitpos < 256) {
+ sub |= ((m[bitpos >> 4] >> (bitpos & 15)) & 1) << p;
+ }
+ }
+ /* Add mul[j]-sub to accumulator, and shift bottom 16 bits out to mul2[j]. */
+ cs += mul[j];
+ cs -= sub;
+ mul2[j] = (cs & 0xFFFF);
+ cs >>= 16;
+ }
+ /* If remainder of subtraction is 0, set mul = mul2. */
+ if (cs == 0) {
+ memcpy(mul, mul2, sizeof(mul));
+ }
+ }
+ /* Sanity check: test that all limbs higher than m's highest are zero */
+ for (i = (m_bitlen >> 4) + 1; i < 32; ++i) {
+ CHECK(mul[i] == 0);
}
}
+ memcpy(out, mul, 32);
}
-/* Subrange must be a whole divisor of range, and at most 64 */
-void test_rand_int(uint32_t range, uint32_t subrange) {
- /* (1-1/subrange)^rounds < 1/10^9 */
- int rounds = (subrange * 2073) / 100;
+/* Convert a 256-bit number represented as 16 uint16_t's to signed30 notation. */
+static void uint16_to_signed30(secp256k1_modinv32_signed30* out, const uint16_t* in) {
int i;
- uint64_t x = 0;
- CHECK((range % subrange) == 0);
- for (i = 0; i < rounds; i++) {
- uint32_t r = secp256k1_rand_int(range);
- CHECK(r < range);
- r = r % subrange;
- x |= (((uint64_t)1) << r);
+ memset(out->v, 0, sizeof(out->v));
+ for (i = 0; i < 256; ++i) {
+ out->v[i / 30] |= (int32_t)(((in[i >> 4]) >> (i & 15)) & 1) << (i % 30);
}
- /* Test that the lower subrange bits of x are 1. */
- CHECK(((~x) << (64 - subrange)) == 0);
}
-void run_rand_bits(void) {
- size_t b;
- test_rand_bits(1, 32);
- for (b = 1; b <= 32; b++) {
- test_rand_bits(0, b);
+/* Convert a 256-bit number in signed30 notation to a representation as 16 uint16_t's. */
+static void signed30_to_uint16(uint16_t* out, const secp256k1_modinv32_signed30* in) {
+ int i;
+ memset(out, 0, 32);
+ for (i = 0; i < 256; ++i) {
+ out[i >> 4] |= (((in->v[i / 30]) >> (i % 30)) & 1) << (i & 15);
}
}
-void run_rand_int(void) {
- static const uint32_t ms[] = {1, 3, 17, 1000, 13771, 999999, 33554432};
- static const uint32_t ss[] = {1, 3, 6, 9, 13, 31, 64};
- unsigned int m, s;
- for (m = 0; m < sizeof(ms) / sizeof(ms[0]); m++) {
- for (s = 0; s < sizeof(ss) / sizeof(ss[0]); s++) {
- test_rand_int(ms[m] * ss[s], ss[s]);
+/* Randomly mutate the sign of limbs in signed30 representation, without changing the value. */
+static void mutate_sign_signed30(secp256k1_modinv32_signed30* x) {
+ int i;
+ for (i = 0; i < 16; ++i) {
+ int pos = testrand_bits(3);
+ if (x->v[pos] > 0 && x->v[pos + 1] <= 0x3fffffff) {
+ x->v[pos] -= 0x40000000;
+ x->v[pos + 1] += 1;
+ } else if (x->v[pos] < 0 && x->v[pos + 1] >= 0x3fffffff) {
+ x->v[pos] += 0x40000000;
+ x->v[pos + 1] -= 1;
}
}
}
-/***** NUM TESTS *****/
-
-#ifndef USE_NUM_NONE
-void random_num_negate(secp256k1_num *num) {
- if (secp256k1_rand_bits(1)) {
- secp256k1_num_negate(num);
+/* Test secp256k1_modinv32{_var}, using inputs in 16-bit limb format, and returning inverse. */
+static void test_modinv32_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod) {
+ uint16_t tmp[16];
+ secp256k1_modinv32_signed30 x;
+ secp256k1_modinv32_modinfo m;
+ int i, vartime, nonzero;
+
+ uint16_to_signed30(&x, in);
+ nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4] | x.v[5] | x.v[6] | x.v[7] | x.v[8]) != 0;
+ uint16_to_signed30(&m.modulus, mod);
+
+ /* compute 1/modulus mod 2^30 */
+ m.modulus_inv30 = modinv2p64(m.modulus.v[0]) & 0x3fffffff;
+ CHECK(((m.modulus_inv30 * m.modulus.v[0]) & 0x3fffffff) == 1);
+
+ /* Test secp256k1_jacobi32_maybe_var. */
+ if (nonzero) {
+ int jac;
+ uint16_t sqr[16], negone[16];
+ mulmod256(sqr, in, in, mod);
+ uint16_to_signed30(&x, sqr);
+ /* Compute jacobi symbol of in^2, which must be 1 (or uncomputable). */
+ jac = secp256k1_jacobi32_maybe_var(&x, &m);
+ CHECK(jac == 0 || jac == 1);
+ /* Then compute the jacobi symbol of -(in^2). x and -x have opposite
+ * jacobi symbols if and only if (mod % 4) == 3. */
+ negone[0] = mod[0] - 1;
+ for (i = 1; i < 16; ++i) negone[i] = mod[i];
+ mulmod256(sqr, sqr, negone, mod);
+ uint16_to_signed30(&x, sqr);
+ jac = secp256k1_jacobi32_maybe_var(&x, &m);
+ CHECK(jac == 0 || jac == 1 - (mod[0] & 2));
+ }
+
+ uint16_to_signed30(&x, in);
+ mutate_sign_signed30(&m.modulus);
+ for (vartime = 0; vartime < 2; ++vartime) {
+ /* compute inverse */
+ (vartime ? secp256k1_modinv32_var : secp256k1_modinv32)(&x, &m);
+
+ /* produce output */
+ signed30_to_uint16(out, &x);
+
+ /* check if the inverse times the input is 1 (mod m), unless x is 0. */
+ mulmod256(tmp, out, in, mod);
+ CHECK(tmp[0] == nonzero);
+ for (i = 1; i < 16; ++i) CHECK(tmp[i] == 0);
+
+ /* invert again */
+ (vartime ? secp256k1_modinv32_var : secp256k1_modinv32)(&x, &m);
+
+ /* check if the result is equal to the input */
+ signed30_to_uint16(tmp, &x);
+ for (i = 0; i < 16; ++i) CHECK(tmp[i] == in[i]);
}
}
-void random_num_order_test(secp256k1_num *num) {
- secp256k1_scalar sc;
- random_scalar_order_test(&sc);
- secp256k1_scalar_get_num(num, &sc);
+#ifdef SECP256K1_WIDEMUL_INT128
+/* Convert a 256-bit number represented as 16 uint16_t's to signed62 notation. */
+static void uint16_to_signed62(secp256k1_modinv64_signed62* out, const uint16_t* in) {
+ int i;
+ memset(out->v, 0, sizeof(out->v));
+ for (i = 0; i < 256; ++i) {
+ out->v[i / 62] |= (int64_t)(((in[i >> 4]) >> (i & 15)) & 1) << (i % 62);
+ }
}
-void random_num_order(secp256k1_num *num) {
- secp256k1_scalar sc;
- random_scalar_order(&sc);
- secp256k1_scalar_get_num(num, &sc);
-}
-
-void test_num_negate(void) {
- secp256k1_num n1;
- secp256k1_num n2;
- random_num_order_test(&n1); /* n1 = R */
- random_num_negate(&n1);
- secp256k1_num_copy(&n2, &n1); /* n2 = R */
- secp256k1_num_sub(&n1, &n2, &n1); /* n1 = n2-n1 = 0 */
- CHECK(secp256k1_num_is_zero(&n1));
- secp256k1_num_copy(&n1, &n2); /* n1 = R */
- secp256k1_num_negate(&n1); /* n1 = -R */
- CHECK(!secp256k1_num_is_zero(&n1));
- secp256k1_num_add(&n1, &n2, &n1); /* n1 = n2+n1 = 0 */
- CHECK(secp256k1_num_is_zero(&n1));
- secp256k1_num_copy(&n1, &n2); /* n1 = R */
- secp256k1_num_negate(&n1); /* n1 = -R */
- CHECK(secp256k1_num_is_neg(&n1) != secp256k1_num_is_neg(&n2));
- secp256k1_num_negate(&n1); /* n1 = R */
- CHECK(secp256k1_num_eq(&n1, &n2));
-}
-
-void test_num_add_sub(void) {
+/* Convert a 256-bit number in signed62 notation to a representation as 16 uint16_t's. */
+static void signed62_to_uint16(uint16_t* out, const secp256k1_modinv64_signed62* in) {
int i;
- secp256k1_scalar s;
- secp256k1_num n1;
- secp256k1_num n2;
- secp256k1_num n1p2, n2p1, n1m2, n2m1;
- random_num_order_test(&n1); /* n1 = R1 */
- if (secp256k1_rand_bits(1)) {
- random_num_negate(&n1);
- }
- random_num_order_test(&n2); /* n2 = R2 */
- if (secp256k1_rand_bits(1)) {
- random_num_negate(&n2);
- }
- secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = R1 + R2 */
- secp256k1_num_add(&n2p1, &n2, &n1); /* n2p1 = R2 + R1 */
- secp256k1_num_sub(&n1m2, &n1, &n2); /* n1m2 = R1 - R2 */
- secp256k1_num_sub(&n2m1, &n2, &n1); /* n2m1 = R2 - R1 */
- CHECK(secp256k1_num_eq(&n1p2, &n2p1));
- CHECK(!secp256k1_num_eq(&n1p2, &n1m2));
- secp256k1_num_negate(&n2m1); /* n2m1 = -R2 + R1 */
- CHECK(secp256k1_num_eq(&n2m1, &n1m2));
- CHECK(!secp256k1_num_eq(&n2m1, &n1));
- secp256k1_num_add(&n2m1, &n2m1, &n2); /* n2m1 = -R2 + R1 + R2 = R1 */
- CHECK(secp256k1_num_eq(&n2m1, &n1));
- CHECK(!secp256k1_num_eq(&n2p1, &n1));
- secp256k1_num_sub(&n2p1, &n2p1, &n2); /* n2p1 = R2 + R1 - R2 = R1 */
- CHECK(secp256k1_num_eq(&n2p1, &n1));
-
- /* check is_one */
- secp256k1_scalar_set_int(&s, 1);
- secp256k1_scalar_get_num(&n1, &s);
- CHECK(secp256k1_num_is_one(&n1));
- /* check that 2^n + 1 is never 1 */
- secp256k1_scalar_get_num(&n2, &s);
- for (i = 0; i < 250; ++i) {
- secp256k1_num_add(&n1, &n1, &n1); /* n1 *= 2 */
- secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = n1 + 1 */
- CHECK(!secp256k1_num_is_one(&n1p2));
- }
-}
-
-void test_num_mod(void) {
+ memset(out, 0, 32);
+ for (i = 0; i < 256; ++i) {
+ out[i >> 4] |= (((in->v[i / 62]) >> (i % 62)) & 1) << (i & 15);
+ }
+}
+
+/* Randomly mutate the sign of limbs in signed62 representation, without changing the value. */
+static void mutate_sign_signed62(secp256k1_modinv64_signed62* x) {
+ static const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
int i;
- secp256k1_scalar s;
- secp256k1_num order, n;
-
- /* check that 0 mod anything is 0 */
- random_scalar_order_test(&s);
- secp256k1_scalar_get_num(&order, &s);
- secp256k1_scalar_set_int(&s, 0);
- secp256k1_scalar_get_num(&n, &s);
- secp256k1_num_mod(&n, &order);
- CHECK(secp256k1_num_is_zero(&n));
-
- /* check that anything mod 1 is 0 */
- secp256k1_scalar_set_int(&s, 1);
- secp256k1_scalar_get_num(&order, &s);
- secp256k1_scalar_get_num(&n, &s);
- secp256k1_num_mod(&n, &order);
- CHECK(secp256k1_num_is_zero(&n));
-
- /* check that increasing the number past 2^256 does not break this */
- random_scalar_order_test(&s);
- secp256k1_scalar_get_num(&n, &s);
- /* multiply by 2^8, which'll test this case with high probability */
for (i = 0; i < 8; ++i) {
- secp256k1_num_add(&n, &n, &n);
+ int pos = testrand_bits(2);
+ if (x->v[pos] > 0 && x->v[pos + 1] <= M62) {
+ x->v[pos] -= (M62 + 1);
+ x->v[pos + 1] += 1;
+ } else if (x->v[pos] < 0 && x->v[pos + 1] >= -M62) {
+ x->v[pos] += (M62 + 1);
+ x->v[pos + 1] -= 1;
+ }
}
- secp256k1_num_mod(&n, &order);
- CHECK(secp256k1_num_is_zero(&n));
}
-void test_num_jacobi(void) {
- secp256k1_scalar sqr;
- secp256k1_scalar small;
- secp256k1_scalar five; /* five is not a quadratic residue */
- secp256k1_num order, n;
+/* Test secp256k1_modinv64{_var}, using inputs in 16-bit limb format, and returning inverse. */
+static void test_modinv64_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod) {
+ static const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
+ uint16_t tmp[16];
+ secp256k1_modinv64_signed62 x;
+ secp256k1_modinv64_modinfo m;
+ int i, vartime, nonzero;
+
+ uint16_to_signed62(&x, in);
+ nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4]) != 0;
+ uint16_to_signed62(&m.modulus, mod);
+
+ /* compute 1/modulus mod 2^62 */
+ m.modulus_inv62 = modinv2p64(m.modulus.v[0]) & M62;
+ CHECK(((m.modulus_inv62 * m.modulus.v[0]) & M62) == 1);
+
+ /* Test secp256k1_jacobi64_maybe_var. */
+ if (nonzero) {
+ int jac;
+ uint16_t sqr[16], negone[16];
+ mulmod256(sqr, in, in, mod);
+ uint16_to_signed62(&x, sqr);
+ /* Compute jacobi symbol of in^2, which must be 1 (or uncomputable). */
+ jac = secp256k1_jacobi64_maybe_var(&x, &m);
+ CHECK(jac == 0 || jac == 1);
+ /* Then compute the jacobi symbol of -(in^2). x and -x have opposite
+ * jacobi symbols if and only if (mod % 4) == 3. */
+ negone[0] = mod[0] - 1;
+ for (i = 1; i < 16; ++i) negone[i] = mod[i];
+ mulmod256(sqr, sqr, negone, mod);
+ uint16_to_signed62(&x, sqr);
+ jac = secp256k1_jacobi64_maybe_var(&x, &m);
+ CHECK(jac == 0 || jac == 1 - (mod[0] & 2));
+ }
+
+ uint16_to_signed62(&x, in);
+ mutate_sign_signed62(&m.modulus);
+ for (vartime = 0; vartime < 2; ++vartime) {
+ /* compute inverse */
+ (vartime ? secp256k1_modinv64_var : secp256k1_modinv64)(&x, &m);
+
+ /* produce output */
+ signed62_to_uint16(out, &x);
+
+ /* check if the inverse times the input is 1 (mod m), unless x is 0. */
+ mulmod256(tmp, out, in, mod);
+ CHECK(tmp[0] == nonzero);
+ for (i = 1; i < 16; ++i) CHECK(tmp[i] == 0);
+
+ /* invert again */
+ (vartime ? secp256k1_modinv64_var : secp256k1_modinv64)(&x, &m);
+
+ /* check if the result is equal to the input */
+ signed62_to_uint16(tmp, &x);
+ for (i = 0; i < 16; ++i) CHECK(tmp[i] == in[i]);
+ }
+}
+#endif
+
+/* test if a and b are coprime */
+static int coprime(const uint16_t* a, const uint16_t* b) {
+ uint16_t x[16], y[16], t[16];
int i;
- /* squares mod 5 are 1, 4 */
- const int jacobi5[10] = { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1 };
+ int iszero;
+ memcpy(x, a, 32);
+ memcpy(y, b, 32);
+
+ /* simple gcd loop: while x!=0, (x,y)=(y%x,x) */
+ while (1) {
+ iszero = 1;
+ for (i = 0; i < 16; ++i) {
+ if (x[i] != 0) {
+ iszero = 0;
+ break;
+ }
+ }
+ if (iszero) break;
+ mulmod256(t, y, NULL, x);
+ memcpy(y, x, 32);
+ memcpy(x, t, 32);
+ }
- /* check some small values with 5 as the order */
- secp256k1_scalar_set_int(&five, 5);
- secp256k1_scalar_get_num(&order, &five);
- for (i = 0; i < 10; ++i) {
- secp256k1_scalar_set_int(&small, i);
- secp256k1_scalar_get_num(&n, &small);
- CHECK(secp256k1_num_jacobi(&n, &order) == jacobi5[i]);
+ /* return whether y=1 */
+ if (y[0] != 1) return 0;
+ for (i = 1; i < 16; ++i) {
+ if (y[i] != 0) return 0;
}
+ return 1;
+}
- /** test large values with 5 as group order */
- secp256k1_scalar_get_num(&order, &five);
- /* we first need a scalar which is not a multiple of 5 */
- do {
- secp256k1_num fiven;
- random_scalar_order_test(&sqr);
- secp256k1_scalar_get_num(&fiven, &five);
- secp256k1_scalar_get_num(&n, &sqr);
- secp256k1_num_mod(&n, &fiven);
- } while (secp256k1_num_is_zero(&n));
- /* next force it to be a residue. 2 is a nonresidue mod 5 so we can
- * just multiply by two, i.e. add the number to itself */
- if (secp256k1_num_jacobi(&n, &order) == -1) {
- secp256k1_num_add(&n, &n, &n);
- }
-
- /* test residue */
- CHECK(secp256k1_num_jacobi(&n, &order) == 1);
- /* test nonresidue */
- secp256k1_num_add(&n, &n, &n);
- CHECK(secp256k1_num_jacobi(&n, &order) == -1);
-
- /** test with secp group order as order */
- secp256k1_scalar_order_get_num(&order);
- random_scalar_order_test(&sqr);
- secp256k1_scalar_sqr(&sqr, &sqr);
- /* test residue */
- secp256k1_scalar_get_num(&n, &sqr);
- CHECK(secp256k1_num_jacobi(&n, &order) == 1);
- /* test nonresidue */
- secp256k1_scalar_mul(&sqr, &sqr, &five);
- secp256k1_scalar_get_num(&n, &sqr);
- CHECK(secp256k1_num_jacobi(&n, &order) == -1);
- /* test multiple of the order*/
- CHECK(secp256k1_num_jacobi(&order, &order) == 0);
-
- /* check one less than the order */
- secp256k1_scalar_set_int(&small, 1);
- secp256k1_scalar_get_num(&n, &small);
- secp256k1_num_sub(&n, &order, &n);
- CHECK(secp256k1_num_jacobi(&n, &order) == 1); /* sage confirms this is 1 */
-}
-
-void run_num_smalltests(void) {
+static void run_modinv_tests(void) {
+ /* Fixed test cases. Each tuple is (input, modulus, output), each as 16x16 bits in LE order. */
+ static const uint16_t CASES[][3][16] = {
+ /* Test cases triggering edge cases in divsteps */
+
+ /* Test case known to need 713 divsteps */
+ {{0x1513, 0x5389, 0x54e9, 0x2798, 0x1957, 0x66a0, 0x8057, 0x3477,
+ 0x7784, 0x1052, 0x326a, 0x9331, 0x6506, 0xa95c, 0x91f3, 0xfb5e},
+ {0x2bdd, 0x8df4, 0xcc61, 0x481f, 0xdae5, 0x5ca7, 0xf43b, 0x7d54,
+ 0x13d6, 0x469b, 0x2294, 0x20f4, 0xb2a4, 0xa2d1, 0x3ff1, 0xfd4b},
+ {0xffd8, 0xd9a0, 0x456e, 0x81bb, 0xbabd, 0x6cea, 0x6dbd, 0x73ab,
+ 0xbb94, 0x3d3c, 0xdf08, 0x31c4, 0x3e32, 0xc179, 0x2486, 0xb86b}},
+ /* Test case known to need 589 divsteps, reaching delta=-140 and
+ delta=141. */
+ {{0x3fb1, 0x903b, 0x4eb7, 0x4813, 0xd863, 0x26bf, 0xd89f, 0xa8a9,
+ 0x02fe, 0x57c6, 0x554a, 0x4eab, 0x165e, 0x3d61, 0xee1e, 0x456c},
+ {0x9295, 0x823b, 0x5c1f, 0x5386, 0x48e0, 0x02ff, 0x4c2a, 0xa2da,
+ 0xe58f, 0x967c, 0xc97e, 0x3f5a, 0x69fb, 0x52d9, 0x0a86, 0xb4a3},
+ {0x3d30, 0xb893, 0xa809, 0xa7a8, 0x26f5, 0x5b42, 0x55be, 0xf4d0,
+ 0x12c2, 0x7e6a, 0xe41a, 0x90c7, 0xebfa, 0xf920, 0x304e, 0x1419}},
+ /* Test case known to need 650 divsteps, and doing 65 consecutive (f,g/2) steps. */
+ {{0x8583, 0x5058, 0xbeae, 0xeb69, 0x48bc, 0x52bb, 0x6a9d, 0xcc94,
+ 0x2a21, 0x87d5, 0x5b0d, 0x42f6, 0x5b8a, 0x2214, 0xe9d6, 0xa040},
+ {0x7531, 0x27cb, 0x7e53, 0xb739, 0x6a5f, 0x83f5, 0xa45c, 0xcb1d,
+ 0x8a87, 0x1c9c, 0x51d7, 0x851c, 0xb9d8, 0x1fbe, 0xc241, 0xd4a3},
+ {0xcdb4, 0x275c, 0x7d22, 0xa906, 0x0173, 0xc054, 0x7fdf, 0x5005,
+ 0x7fb8, 0x9059, 0xdf51, 0x99df, 0x2654, 0x8f6e, 0x070f, 0xb347}},
+ /* example needing 713 divsteps; delta=-2..3 */
+ {{0xe2e9, 0xee91, 0x4345, 0xe5ad, 0xf3ec, 0x8f42, 0x0364, 0xd5c9,
+ 0xff49, 0xbef5, 0x4544, 0x4c7c, 0xae4b, 0xfd9d, 0xb35b, 0xda9d},
+ {0x36e7, 0x8cca, 0x2ed0, 0x47b3, 0xaca4, 0xb374, 0x7d2a, 0x0772,
+ 0x6bdb, 0xe0a7, 0x900b, 0xfe10, 0x788c, 0x6f22, 0xd909, 0xf298},
+ {0xd8c6, 0xba39, 0x13ed, 0x198c, 0x16c8, 0xb837, 0xa5f2, 0x9797,
+ 0x0113, 0x882a, 0x15b5, 0x324c, 0xabee, 0xe465, 0x8170, 0x85ac}},
+ /* example needing 713 divsteps; delta=-2..3 */
+ {{0xd5b7, 0x2966, 0x040e, 0xf59a, 0x0387, 0xd96d, 0xbfbc, 0xd850,
+ 0x2d96, 0x872a, 0xad81, 0xc03c, 0xbb39, 0xb7fa, 0xd904, 0xef78},
+ {0x6279, 0x4314, 0xfdd3, 0x1568, 0x0982, 0x4d13, 0x625f, 0x010c,
+ 0x22b1, 0x0cc3, 0xf22d, 0x5710, 0x1109, 0x5751, 0x7714, 0xfcf2},
+ {0xdb13, 0x5817, 0x232e, 0xe456, 0xbbbc, 0x6fbe, 0x4572, 0xa358,
+ 0xc76d, 0x928e, 0x0162, 0x5314, 0x8325, 0x5683, 0xe21b, 0xda88}},
+ /* example needing 713 divsteps; delta=-2..3 */
+ {{0xa06f, 0x71ee, 0x3bac, 0x9ebb, 0xdeaa, 0x09ed, 0x1cf7, 0x9ec9,
+ 0x7158, 0x8b72, 0x5d53, 0x5479, 0x5c75, 0xbb66, 0x9125, 0xeccc},
+ {0x2941, 0xd46c, 0x3cd4, 0x4a9d, 0x5c4a, 0x256b, 0xbd6c, 0x9b8e,
+ 0x8fe0, 0x8a14, 0xffe8, 0x2496, 0x618d, 0xa9d7, 0x5018, 0xfb29},
+ {0x437c, 0xbd60, 0x7590, 0x94bb, 0x0095, 0xd35e, 0xd4fe, 0xd6da,
+ 0x0d4e, 0x5342, 0x4cd2, 0x169b, 0x661c, 0x1380, 0xed2d, 0x85c1}},
+ /* example reaching delta=-64..65; 661 divsteps */
+ {{0xfde4, 0x68d6, 0x6c48, 0x7f77, 0x1c78, 0x96de, 0x2fd9, 0xa6c2,
+ 0xbbb5, 0xd319, 0x69cf, 0xd4b3, 0xa321, 0xcda0, 0x172e, 0xe530},
+ {0xd9e3, 0x0f60, 0x3d86, 0xeeab, 0x25ee, 0x9582, 0x2d50, 0xfe16,
+ 0xd4e2, 0xe3ba, 0x94e2, 0x9833, 0x6c5e, 0x8982, 0x13b6, 0xe598},
+ {0xe675, 0xf55a, 0x10f6, 0xabde, 0x5113, 0xecaa, 0x61ae, 0xad9f,
+ 0x0c27, 0xef33, 0x62e5, 0x211d, 0x08fa, 0xa78d, 0xc675, 0x8bae}},
+ /* example reaching delta=-64..65; 661 divsteps */
+ {{0x21bf, 0x52d5, 0x8fd4, 0xaa18, 0x156a, 0x7247, 0xebb8, 0x5717,
+ 0x4eb5, 0x1421, 0xb58f, 0x3b0b, 0x5dff, 0xe533, 0xb369, 0xd28a},
+ {0x9f6b, 0xe463, 0x2563, 0xc74d, 0x6d81, 0x636a, 0x8fc8, 0x7a94,
+ 0x9429, 0x1585, 0xf35e, 0x7ff5, 0xb64f, 0x9720, 0xba74, 0xe108},
+ {0xa5ab, 0xea7b, 0xfe5e, 0x8a85, 0x13be, 0x7934, 0xe8a0, 0xa187,
+ 0x86b5, 0xe477, 0xb9a4, 0x75d7, 0x538f, 0xdd70, 0xc781, 0xb67d}},
+ /* example reaching delta=-64..65; 661 divsteps */
+ {{0xa41a, 0x3e8d, 0xf1f5, 0x9493, 0x868c, 0x5103, 0x2725, 0x3ceb,
+ 0x6032, 0x3624, 0xdc6b, 0x9120, 0xbf4c, 0x8821, 0x91ad, 0xb31a},
+ {0x5c0b, 0xdda5, 0x20f8, 0x32a1, 0xaf73, 0x6ec5, 0x4779, 0x43d6,
+ 0xd454, 0x9573, 0xbf84, 0x5a58, 0xe04e, 0x307e, 0xd1d5, 0xe230},
+ {0xda15, 0xbcd6, 0x7180, 0xabd3, 0x04e6, 0x6986, 0xc0d7, 0x90bb,
+ 0x3a4d, 0x7c95, 0xaaab, 0x9ab3, 0xda34, 0xa7f6, 0x9636, 0x6273}},
+ /* example doing 123 consecutive (f,g/2) steps; 615 divsteps */
+ {{0xb4d6, 0xb38f, 0x00aa, 0xebda, 0xd4c2, 0x70b8, 0x9dad, 0x58ee,
+ 0x68f8, 0x48d3, 0xb5ff, 0xf422, 0x9e46, 0x2437, 0x18d0, 0xd9cc},
+ {0x5c83, 0xfed7, 0x97f5, 0x3f07, 0xcaad, 0x95b1, 0xb4a4, 0xb005,
+ 0x23af, 0xdd27, 0x6c0d, 0x932c, 0xe2b2, 0xe3ae, 0xfb96, 0xdf67},
+ {0x3105, 0x0127, 0xfd48, 0x039b, 0x35f1, 0xbc6f, 0x6c0a, 0xb572,
+ 0xe4df, 0xebad, 0x8edc, 0xb89d, 0x9555, 0x4c26, 0x1fef, 0x997c}},
+ /* example doing 123 consecutive (f,g/2) steps; 614 divsteps */
+ {{0x5138, 0xd474, 0x385f, 0xc964, 0x00f2, 0x6df7, 0x862d, 0xb185,
+ 0xb264, 0xe9e1, 0x466c, 0xf39e, 0xafaf, 0x5f41, 0x47e2, 0xc89d},
+ {0x8607, 0x9c81, 0x46a2, 0x7dcc, 0xcb0c, 0x9325, 0xe149, 0x2bde,
+ 0x6632, 0x2869, 0xa261, 0xb163, 0xccee, 0x22ae, 0x91e0, 0xcfd5},
+ {0x831c, 0xda22, 0xb080, 0xba7a, 0x26e2, 0x54b0, 0x073b, 0x5ea0,
+ 0xed4b, 0xcb3d, 0xbba1, 0xbec8, 0xf2ad, 0xae0d, 0x349b, 0x17d1}},
+ /* example doing 123 consecutive (f,g/2) steps; 614 divsteps */
+ {{0xe9a5, 0xb4ad, 0xd995, 0x9953, 0xcdff, 0x50d7, 0xf715, 0x9dc7,
+ 0x3e28, 0x15a9, 0x95a3, 0x8554, 0x5b5e, 0xad1d, 0x6d57, 0x3d50},
+ {0x3ad9, 0xbd60, 0x5cc7, 0x6b91, 0xadeb, 0x71f6, 0x7cc4, 0xa58a,
+ 0x2cce, 0xf17c, 0x38c9, 0x97ed, 0x65fb, 0x3fa6, 0xa6bc, 0xeb24},
+ {0xf96c, 0x1963, 0x8151, 0xa0cc, 0x299b, 0xf277, 0x001a, 0x16bb,
+ 0xfd2e, 0x532d, 0x0410, 0xe117, 0x6b00, 0x44ec, 0xca6a, 0x1745}},
+ /* example doing 446 (f,g/2) steps; 523 divsteps */
+ {{0x3758, 0xa56c, 0xe41e, 0x4e47, 0x0975, 0xa82b, 0x107c, 0x89cf,
+ 0x2093, 0x5a0c, 0xda37, 0xe007, 0x6074, 0x4f68, 0x2f5a, 0xbb8a},
+ {0x4beb, 0xa40f, 0x2c42, 0xd9d6, 0x97e8, 0xca7c, 0xd395, 0x894f,
+ 0x1f50, 0x8067, 0xa233, 0xb850, 0x1746, 0x1706, 0xbcda, 0xdf32},
+ {0x762a, 0xceda, 0x4c45, 0x1ca0, 0x8c37, 0xd8c5, 0xef57, 0x7a2c,
+ 0x6e98, 0xe38a, 0xc50e, 0x2ca9, 0xcb85, 0x24d5, 0xc29c, 0x61f6}},
+ /* example doing 446 (f,g/2) steps; 523 divsteps */
+ {{0x6f38, 0x74ad, 0x7332, 0x4073, 0x6521, 0xb876, 0xa370, 0xa6bd,
+ 0xcea5, 0xbd06, 0x969f, 0x77c6, 0x1e69, 0x7c49, 0x7d51, 0xb6e7},
+ {0x3f27, 0x4be4, 0xd81e, 0x1396, 0xb21f, 0x92aa, 0x6dc3, 0x6283,
+ 0x6ada, 0x3ca2, 0xc1e5, 0x8b9b, 0xd705, 0x5598, 0x8ba1, 0xe087},
+ {0x6a22, 0xe834, 0xbc8d, 0xcee9, 0x42fc, 0xfc77, 0x9c45, 0x1ca8,
+ 0xeb66, 0xed74, 0xaaf9, 0xe75f, 0xfe77, 0x46d2, 0x179b, 0xbf3e}},
+ /* example doing 336 (f,(f+g)/2) steps; 693 divsteps */
+ {{0x7ea7, 0x444e, 0x84ea, 0xc447, 0x7c1f, 0xab97, 0x3de6, 0x5878,
+ 0x4e8b, 0xc017, 0x03e0, 0xdc40, 0xbbd0, 0x74ce, 0x0169, 0x7ab5},
+ {0x4023, 0x154f, 0xfbe4, 0x8195, 0xfda0, 0xef54, 0x9e9a, 0xc703,
+ 0x2803, 0xf760, 0x6302, 0xed5b, 0x7157, 0x6456, 0xdd7d, 0xf14b},
+ {0xb6fb, 0xe3b3, 0x0733, 0xa77e, 0x44c5, 0x3003, 0xc937, 0xdd4d,
+ 0x5355, 0x14e9, 0x184e, 0xcefe, 0xe6b5, 0xf2e0, 0x0a28, 0x5b74}},
+ /* example doing 336 (f,(f+g)/2) steps; 687 divsteps */
+ {{0xa893, 0xb5f4, 0x1ede, 0xa316, 0x242c, 0xbdcc, 0xb017, 0x0836,
+ 0x3a37, 0x27fb, 0xfb85, 0x251e, 0xa189, 0xb15d, 0xa4b8, 0xc24c},
+ {0xb0b7, 0x57ba, 0xbb6d, 0x9177, 0xc896, 0xc7f2, 0x43b4, 0x85a6,
+ 0xe6c4, 0xe50e, 0x3109, 0x7ca5, 0xd73d, 0x13ff, 0x0c3d, 0xcd62},
+ {0x48ca, 0xdb34, 0xe347, 0x2cef, 0x4466, 0x10fb, 0x7ee1, 0x6344,
+ 0x4308, 0x966d, 0xd4d1, 0xb099, 0x994f, 0xd025, 0x2187, 0x5866}},
+ /* example doing 267 (g,(g-f)/2) steps; 678 divsteps */
+ {{0x0775, 0x1754, 0x01f6, 0xdf37, 0xc0be, 0x8197, 0x072f, 0x6cf5,
+ 0x8b36, 0x8069, 0x5590, 0xb92d, 0x6084, 0x47a4, 0x23fe, 0xddd5},
+ {0x8e1b, 0xda37, 0x27d9, 0x312e, 0x3a2f, 0xef6d, 0xd9eb, 0x8153,
+ 0xdcba, 0x9fa3, 0x9f80, 0xead5, 0x134d, 0x2ebb, 0x5ec0, 0xe032},
+ {0x1cb6, 0x5a61, 0x1bed, 0x77d6, 0xd5d1, 0x7498, 0xef33, 0x2dd2,
+ 0x1089, 0xedbd, 0x6958, 0x16ae, 0x336c, 0x45e6, 0x4361, 0xbadc}},
+ /* example doing 267 (g,(g-f)/2) steps; 676 divsteps */
+ {{0x0207, 0xf948, 0xc430, 0xf36b, 0xf0a7, 0x5d36, 0x751f, 0x132c,
+ 0x6f25, 0xa630, 0xca1f, 0xc967, 0xaf9c, 0x34e7, 0xa38f, 0xbe9f},
+ {0x5fb9, 0x7321, 0x6561, 0x5fed, 0x54ec, 0x9c3a, 0xee0e, 0x6717,
+ 0x49af, 0xb896, 0xf4f5, 0x451c, 0x722a, 0xf116, 0x64a9, 0xcf0b},
+ {0xf4d7, 0xdb47, 0xfef2, 0x4806, 0x4cb8, 0x18c7, 0xd9a7, 0x4951,
+ 0x14d8, 0x5c3a, 0xd22d, 0xd7b2, 0x750c, 0x3de7, 0x8b4a, 0x19aa}},
+
+ /* Test cases triggering edge cases in divsteps variant starting with delta=1/2 */
+
+ /* example needing 590 divsteps; delta=-5/2..7/2 */
+ {{0x9118, 0xb640, 0x53d7, 0x30ab, 0x2a23, 0xd907, 0x9323, 0x5b3a,
+ 0xb6d4, 0x538a, 0x7637, 0xfe97, 0xfd05, 0x3cc0, 0x453a, 0xfb7e},
+ {0x6983, 0x4f75, 0x4ad1, 0x48ad, 0xb2d9, 0x521d, 0x3dbc, 0x9cc0,
+ 0x4b60, 0x0ac6, 0xd3be, 0x0fb6, 0xd305, 0x3895, 0x2da5, 0xfdf8},
+ {0xcec1, 0x33ac, 0xa801, 0x8194, 0xe36c, 0x65ef, 0x103b, 0xca54,
+ 0xfa9b, 0xb41d, 0x9b52, 0xb6f7, 0xa611, 0x84aa, 0x3493, 0xbf54}},
+ /* example needing 590 divsteps; delta=-3/2..5/2 */
+ {{0xb5f2, 0x42d0, 0x35e8, 0x8ca0, 0x4b62, 0x6e1d, 0xbdf3, 0x890e,
+ 0x8c82, 0x23d8, 0xc79a, 0xc8e8, 0x789e, 0x353d, 0x9766, 0xea9d},
+ {0x6fa1, 0xacba, 0x4b7a, 0x5de1, 0x95d0, 0xc845, 0xebbf, 0x6f5a,
+ 0x30cf, 0x52db, 0x69b7, 0xe278, 0x4b15, 0x8411, 0x2ab2, 0xf3e7},
+ {0xf12c, 0x9d6d, 0x95fa, 0x1878, 0x9f13, 0x4fb5, 0x3c8b, 0xa451,
+ 0x7182, 0xc4b6, 0x7e2a, 0x7bb7, 0x6e0e, 0x5b68, 0xde55, 0x9927}},
+ /* example needing 590 divsteps; delta=-3/2..5/2 */
+ {{0x229c, 0x4ef8, 0x1e93, 0xe5dc, 0xcde5, 0x6d62, 0x263b, 0xad11,
+ 0xced0, 0x88ff, 0xae8e, 0x3183, 0x11d2, 0xa50b, 0x350d, 0xeb40},
+ {0x3157, 0xe2ea, 0x8a02, 0x0aa3, 0x5ae1, 0xb26c, 0xea27, 0x6805,
+ 0x87e2, 0x9461, 0x37c1, 0x2f8d, 0x85d2, 0x77a8, 0xf805, 0xeec9},
+ {0x6f4e, 0x2748, 0xf7e5, 0xd8d3, 0xabe2, 0x7270, 0xc4e0, 0xedc7,
+ 0xf196, 0x78ca, 0x9139, 0xd8af, 0x72c6, 0xaf2f, 0x85d2, 0x6cd3}},
+ /* example needing 590 divsteps; delta=-5/2..7/2 */
+ {{0xdce8, 0xf1fe, 0x6708, 0x021e, 0xf1ca, 0xd609, 0x5443, 0x85ce,
+ 0x7a05, 0x8f9c, 0x90c3, 0x52e7, 0x8e1d, 0x97b8, 0xc0bf, 0xf2a1},
+ {0xbd3d, 0xed11, 0x1625, 0xb4c5, 0x844c, 0xa413, 0x2569, 0xb9ba,
+ 0xcd35, 0xff84, 0xcd6e, 0x7f0b, 0x7d5d, 0x10df, 0x3efe, 0xfbe5},
+ {0xa9dd, 0xafef, 0xb1b7, 0x4c8d, 0x50e4, 0xafbf, 0x2d5a, 0xb27c,
+ 0x0653, 0x66b6, 0x5d36, 0x4694, 0x7e35, 0xc47c, 0x857f, 0x32c5}},
+ /* example needing 590 divsteps; delta=-3/2..5/2 */
+ {{0x7902, 0xc9f8, 0x926b, 0xaaeb, 0x90f8, 0x1c89, 0xcce3, 0x96b7,
+ 0x28b2, 0x87a2, 0x136d, 0x695a, 0xa8df, 0x9061, 0x9e31, 0xee82},
+ {0xd3a9, 0x3c02, 0x818c, 0x6b81, 0x34b3, 0xebbb, 0xe2c8, 0x7712,
+ 0xbfd6, 0x8248, 0xa6f4, 0xba6f, 0x03bb, 0xfb54, 0x7575, 0xfe89},
+ {0x8246, 0x0d63, 0x478e, 0xf946, 0xf393, 0x0451, 0x08c2, 0x5919,
+ 0x5fd6, 0x4c61, 0xbeb7, 0x9a15, 0x30e1, 0x55fc, 0x6a01, 0x3724}},
+ /* example reaching delta=-127/2..129/2; 571 divsteps */
+ {{0x3eff, 0x926a, 0x77f5, 0x1fff, 0x1a5b, 0xf3ef, 0xf64b, 0x8681,
+ 0xf800, 0xf9bc, 0x761d, 0xe268, 0x62b0, 0xa032, 0xba9c, 0xbe56},
+ {0xb8f9, 0x00e7, 0x47b7, 0xdffc, 0xfd9d, 0x5abb, 0xa19b, 0x1868,
+ 0x31fd, 0x3b29, 0x3674, 0x5449, 0xf54d, 0x1d19, 0x6ac7, 0xff6f},
+ {0xf1d7, 0x3551, 0x5682, 0x9adf, 0xe8aa, 0x19a5, 0x8340, 0x71db,
+ 0xb7ab, 0x4cfd, 0xf661, 0x632c, 0xc27e, 0xd3c6, 0xdf42, 0xd306}},
+ /* example reaching delta=-127/2..129/2; 571 divsteps */
+ {{0x0000, 0x0000, 0x0000, 0x0000, 0x3aff, 0x2ed7, 0xf2e0, 0xabc7,
+ 0x8aee, 0x166e, 0x7ed0, 0x9ac7, 0x714a, 0xb9c5, 0x4d58, 0xad6c},
+ {0x9cf9, 0x47e2, 0xa421, 0xb277, 0xffc2, 0x2747, 0x6486, 0x94c1,
+ 0x1d99, 0xd49b, 0x1096, 0x991a, 0xe986, 0xae02, 0xe89b, 0xea36},
+ {0x1fb4, 0x98d8, 0x19b7, 0x80e9, 0xcdac, 0xaa5a, 0xf1e6, 0x0074,
+ 0xe393, 0xed8b, 0x8d5c, 0xe17d, 0x81b3, 0xc16d, 0x54d3, 0x9be3}},
+ /* example reaching delta=-127/2..129/2; 571 divsteps */
+ {{0xd047, 0x7e36, 0x3157, 0x7ab6, 0xb4d9, 0x8dae, 0x7534, 0x4f5d,
+ 0x489e, 0xa8ab, 0x8a3d, 0xd52c, 0x62af, 0xa032, 0xba9c, 0xbe56},
+ {0xb1f1, 0x737f, 0x5964, 0x5afb, 0x3712, 0x8ef9, 0x19f7, 0x9669,
+ 0x664d, 0x03ad, 0xc352, 0xf7a5, 0xf545, 0x1d19, 0x6ac7, 0xff6f},
+ {0xa834, 0x5256, 0x27bc, 0x33bd, 0xba11, 0x5a7b, 0x791e, 0xe6c0,
+ 0x9ac4, 0x9370, 0x1130, 0x28b4, 0x2b2e, 0x231b, 0x082a, 0x796e}},
+ /* example doing 123 consecutive (f,g/2) steps; 554 divsteps */
+ {{0x6ab1, 0x6ea0, 0x1a99, 0xe0c2, 0xdd45, 0x645d, 0x8dbc, 0x466a,
+ 0xfa64, 0x4289, 0xd3f7, 0xfc8f, 0x2894, 0xe3c5, 0xa008, 0xcc14},
+ {0xc75f, 0xc083, 0x4cc2, 0x64f2, 0x2aff, 0x4c12, 0x8461, 0xc4ae,
+ 0xbbfa, 0xb336, 0xe4b2, 0x3ac5, 0x2c22, 0xf56c, 0x5381, 0xe943},
+ {0xcd80, 0x760d, 0x4395, 0xb3a6, 0xd497, 0xf583, 0x82bd, 0x1daa,
+ 0xbe92, 0x2613, 0xfdfb, 0x869b, 0x0425, 0xa333, 0x7056, 0xc9c5}},
+ /* example doing 123 consecutive (f,g/2) steps; 554 divsteps */
+ {{0x71d4, 0x64df, 0xec4f, 0x74d8, 0x7e0c, 0x40d3, 0x7073, 0x4cc8,
+ 0x2a2a, 0xb1ff, 0x8518, 0x6513, 0xb0ea, 0x640a, 0x62d9, 0xd5f4},
+ {0xdc75, 0xd937, 0x3b13, 0x1d36, 0xdf83, 0xd034, 0x1c1c, 0x4332,
+ 0x4cc3, 0xeeec, 0x7d94, 0x6771, 0x3384, 0x74b0, 0x947d, 0xf2c4},
+ {0x0a82, 0x37a4, 0x12d5, 0xec97, 0x972c, 0xe6bf, 0xc348, 0xa0a9,
+ 0xc50c, 0xdc7c, 0xae30, 0x19d1, 0x0fca, 0x35e1, 0xd6f6, 0x81ee}},
+ /* example doing 123 consecutive (f,g/2) steps; 554 divsteps */
+ {{0xa6b1, 0xabc5, 0x5bbc, 0x7f65, 0xdd32, 0xaa73, 0xf5a3, 0x1982,
+ 0xced4, 0xe949, 0x0fd6, 0x2bc4, 0x2bd7, 0xe3c5, 0xa008, 0xcc14},
+ {0x4b5f, 0x8f96, 0xa375, 0xfbcf, 0x1c7d, 0xf1ec, 0x03f5, 0xb35d,
+ 0xb999, 0xdb1f, 0xc9a1, 0xb4c7, 0x1dd5, 0xf56c, 0x5381, 0xe943},
+ {0xaa3d, 0x38b9, 0xf17d, 0xeed9, 0x9988, 0x69ee, 0xeb88, 0x1495,
+ 0x203f, 0x18c8, 0x82b7, 0xdcb2, 0x34a7, 0x6b00, 0x6998, 0x589a}},
+ /* example doing 453 (f,g/2) steps; 514 divsteps */
+ {{0xa478, 0xe60d, 0x3244, 0x60e6, 0xada3, 0xfe50, 0xb6b1, 0x2eae,
+ 0xd0ef, 0xa7b1, 0xef63, 0x05c0, 0xe213, 0x443e, 0x4427, 0x2448},
+ {0x258f, 0xf9ef, 0xe02b, 0x92dd, 0xd7f3, 0x252b, 0xa503, 0x9089,
+ 0xedff, 0x96c1, 0xfe3a, 0x3a39, 0x198a, 0x981d, 0x0627, 0xedb7},
+ {0x595a, 0x45be, 0x8fb0, 0x2265, 0xc210, 0x02b8, 0xdce9, 0xe241,
+ 0xcab6, 0xbf0d, 0x0049, 0x8d9a, 0x2f51, 0xae54, 0x5785, 0xb411}},
+ /* example doing 453 (f,g/2) steps; 514 divsteps */
+ {{0x48f0, 0x7db3, 0xdafe, 0x1c92, 0x5912, 0xe11a, 0xab52, 0xede1,
+ 0x3182, 0x8980, 0x5d2b, 0x9b5b, 0x8718, 0xda27, 0x1683, 0x1de2},
+ {0x168f, 0x6f36, 0xce7a, 0xf435, 0x19d4, 0xda5e, 0x2351, 0x9af5,
+ 0xb003, 0x0ef5, 0x3b4c, 0xecec, 0xa9f0, 0x78e1, 0xdfef, 0xe823},
+ {0x5f55, 0xfdcc, 0xb233, 0x2914, 0x84f0, 0x97d1, 0x9cf4, 0x2159,
+ 0xbf56, 0xb79c, 0x17a3, 0x7cef, 0xd5de, 0x34f0, 0x5311, 0x4c54}},
+ /* example doing 510 (f,(f+g)/2) steps; 512 divsteps */
+ {{0x2789, 0x2e04, 0x6e0e, 0xb6cd, 0xe4de, 0x4dbf, 0x228d, 0x7877,
+ 0xc335, 0x806b, 0x38cd, 0x8049, 0xa73b, 0xcfa2, 0x82f7, 0x9e19},
+ {0xc08d, 0xb99d, 0xb8f3, 0x663d, 0xbbb3, 0x1284, 0x1485, 0x1d49,
+ 0xc98f, 0x9e78, 0x1588, 0x11e3, 0xd91a, 0xa2c7, 0xfff1, 0xc7b9},
+ {0x1e1f, 0x411d, 0x7c49, 0x0d03, 0xe789, 0x2f8e, 0x5d55, 0xa95e,
+ 0x826e, 0x8de5, 0x52a0, 0x1abc, 0x4cd7, 0xd13a, 0x4395, 0x63e1}},
+ /* example doing 510 (f,(f+g)/2) steps; 512 divsteps */
+ {{0xd5a1, 0xf786, 0x555c, 0xb14b, 0x44ae, 0x535f, 0x4a49, 0xffc3,
+ 0xf497, 0x70d1, 0x57c8, 0xa933, 0xc85a, 0x1910, 0x75bf, 0x960b},
+ {0xfe53, 0x5058, 0x496d, 0xfdff, 0x6fb8, 0x4100, 0x92bd, 0xe0c4,
+ 0xda89, 0xe0a4, 0x841b, 0x43d4, 0xa388, 0x957f, 0x99ca, 0x9abf},
+ {0xe530, 0x05bc, 0xfeec, 0xfc7e, 0xbcd3, 0x1239, 0x54cb, 0x7042,
+ 0xbccb, 0x139e, 0x9076, 0x0203, 0x6068, 0x90c7, 0x1ddf, 0x488d}},
+ /* example doing 228 (g,(g-f)/2) steps; 538 divsteps */
+ {{0x9488, 0xe54b, 0x0e43, 0x81d2, 0x06e7, 0x4b66, 0x36d0, 0x53d6,
+ 0x2b68, 0x22ec, 0x3fa9, 0xc1a7, 0x9ad2, 0xa596, 0xb3ac, 0xdf42},
+ {0xe31f, 0x0b28, 0x5f3b, 0xc1ff, 0x344c, 0xbf5f, 0xd2ec, 0x2936,
+ 0x9995, 0xdeb2, 0xae6c, 0x2852, 0xa2c6, 0xb306, 0x8120, 0xe305},
+ {0xa56e, 0xfb98, 0x1537, 0x4d85, 0x619e, 0x866c, 0x3cd4, 0x779a,
+ 0xdd66, 0xa80d, 0xdc2f, 0xcae4, 0xc74c, 0x5175, 0xa65d, 0x605e}},
+ /* example doing 228 (g,(g-f)/2) steps; 537 divsteps */
+ {{0x8cd5, 0x376d, 0xd01b, 0x7176, 0x19ef, 0xcf09, 0x8403, 0x5e52,
+ 0x83c1, 0x44de, 0xb91e, 0xb33d, 0xe15c, 0x51e7, 0xbad8, 0x6359},
+ {0x3b75, 0xf812, 0x5f9e, 0xa04e, 0x92d3, 0x226e, 0x540e, 0x7c9a,
+ 0x31c6, 0x46d2, 0x0b7b, 0xdb4a, 0xe662, 0x4950, 0x0265, 0xf76f},
+ {0x09ed, 0x692f, 0xe8f1, 0x3482, 0xab54, 0x36b4, 0x8442, 0x6ae9,
+ 0x4329, 0x6505, 0x183b, 0x1c1d, 0x482d, 0x7d63, 0xb44f, 0xcc09}},
+
+ /* Test cases with the group order as modulus. */
+
+ /* Test case with the group order as modulus, needing 635 divsteps. */
+ {{0x95ed, 0x6c01, 0xd113, 0x5ff1, 0xd7d0, 0x29cc, 0x5817, 0x6120,
+ 0xca8e, 0xaad1, 0x25ae, 0x8e84, 0x9af6, 0x30bf, 0xf0ed, 0x1686},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x1631, 0xbf4a, 0x286a, 0x2716, 0x469f, 0x2ac8, 0x1312, 0xe9bc,
+ 0x04f4, 0x304b, 0x9931, 0x113b, 0xd932, 0xc8f4, 0x0d0d, 0x01a1}},
+ /* example with group size as modulus needing 631 divsteps */
+ {{0x85ed, 0xc284, 0x9608, 0x3c56, 0x19b6, 0xbb5b, 0x2850, 0xdab7,
+ 0xa7f5, 0xe9ab, 0x06a4, 0x5bbb, 0x1135, 0xa186, 0xc424, 0xc68b},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x8479, 0x450a, 0x8fa3, 0xde05, 0xb2f5, 0x7793, 0x7269, 0xbabb,
+ 0xc3b3, 0xd49b, 0x3377, 0x03c6, 0xe694, 0xc760, 0xd3cb, 0x2811}},
+ /* example with group size as modulus needing 565 divsteps starting at delta=1/2 */
+ {{0x8432, 0x5ceb, 0xa847, 0x6f1e, 0x51dd, 0x535a, 0x6ddc, 0x70ce,
+ 0x6e70, 0xc1f6, 0x18f2, 0x2a7e, 0xc8e7, 0x39f8, 0x7e96, 0xebbf},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x257e, 0x449f, 0x689f, 0x89aa, 0x3989, 0xb661, 0x376c, 0x1e32,
+ 0x654c, 0xee2e, 0xf4e2, 0x33c8, 0x3f2f, 0x9716, 0x6046, 0xcaa3}},
+ /* Test case with the group size as modulus, needing 981 divsteps with
+ broken eta handling. */
+ {{0xfeb9, 0xb877, 0xee41, 0x7fa3, 0x87da, 0x94c4, 0x9d04, 0xc5ae,
+ 0x5708, 0x0994, 0xfc79, 0x0916, 0xbf32, 0x3ad8, 0xe11c, 0x5ca2},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0f12, 0x075e, 0xce1c, 0x6f92, 0xc80f, 0xca92, 0x9a04, 0x6126,
+ 0x4b6c, 0x57d6, 0xca31, 0x97f3, 0x1f99, 0xf4fd, 0xda4d, 0x42ce}},
+ /* Test case with the group size as modulus, input = 0. */
+ {{0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}},
+ /* Test case with the group size as modulus, input = 1. */
+ {{0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}},
+ /* Test case with the group size as modulus, input = 2. */
+ {{0x0002, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x20a1, 0x681b, 0x2f46, 0xdfe9, 0x501d, 0x57a4, 0x6e73, 0x5d57,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0x7fff}},
+ /* Test case with the group size as modulus, input = group - 1. */
+ {{0x4140, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x4140, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}},
+
+ /* Test cases with the field size as modulus. */
+
+ /* Test case with the field size as modulus, needing 637 divsteps. */
+ {{0x9ec3, 0x1919, 0xca84, 0x7c11, 0xf996, 0x06f3, 0x5408, 0x6688,
+ 0x1320, 0xdb8a, 0x632a, 0x0dcb, 0x8a84, 0x6bee, 0x9c95, 0xe34e},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x18e5, 0x19b6, 0xdf92, 0x1aaa, 0x09fb, 0x8a3f, 0x52b0, 0x8701,
+ 0xac0c, 0x2582, 0xda44, 0x9bcc, 0x6828, 0x1c53, 0xbd8f, 0xbd2c}},
+ /* example with field size as modulus needing 637 divsteps */
+ {{0xaec3, 0xa7cf, 0x2f2d, 0x0693, 0x5ad5, 0xa8ff, 0x7ec7, 0x30ff,
+ 0x0c8b, 0xc242, 0xcab2, 0x063a, 0xf86e, 0x6057, 0x9cbd, 0xf6d8},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0310, 0x579d, 0xcb38, 0x9030, 0x3ded, 0x9bb9, 0x1234, 0x63ce,
+ 0x0c63, 0x8e3d, 0xacfe, 0x3c20, 0xdc85, 0xf859, 0x919e, 0x1d45}},
+ /* example with field size as modulus needing 564 divsteps starting at delta=1/2 */
+ {{0x63ae, 0x8d10, 0x0071, 0xdb5c, 0xb454, 0x78d1, 0x744a, 0x5f8e,
+ 0xe4d8, 0x87b1, 0x8e62, 0x9590, 0xcede, 0xa070, 0x36b4, 0x7f6f},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0xfdc8, 0xe8d5, 0xbe15, 0x9f86, 0xa5fe, 0xf18e, 0xa7ff, 0xd291,
+ 0xf4c2, 0x9c87, 0xf150, 0x073e, 0x69b8, 0xf7c4, 0xee4b, 0xc7e6}},
+ /* Test case with the field size as modulus, needing 935 divsteps with
+ broken eta handling. */
+ {{0x1b37, 0xbdc3, 0x8bcd, 0x25e3, 0x1eae, 0x567d, 0x30b6, 0xf0d8,
+ 0x9277, 0x0cf8, 0x9c2e, 0xecd7, 0x631d, 0xe38f, 0xd4f8, 0x5c93},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x1622, 0xe05b, 0xe880, 0x7de9, 0x3e45, 0xb682, 0xee6c, 0x67ed,
+ 0xa179, 0x15db, 0x6b0d, 0xa656, 0x7ccb, 0x8ef7, 0xa2ff, 0xe279}},
+ /* Test case with the field size as modulus, input = 0. */
+ {{0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}},
+ /* Test case with the field size as modulus, input = 1. */
+ {{0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}},
+ /* Test case with the field size as modulus, input = 2. */
+ {{0x0002, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0xfe18, 0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0x7fff}},
+ /* Test case with the field size as modulus, input = field - 1. */
+ {{0xfc2e, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0xfc2e, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}},
+
+ /* Selected from a large number of random inputs to reach small/large
+ * d/e values in various configurations. */
+ {{0x3a08, 0x23e1, 0x4d8c, 0xe606, 0x3263, 0x67af, 0x9bf1, 0x9d70,
+ 0xf5fd, 0x12e4, 0x03c8, 0xb9ca, 0xe847, 0x8c5d, 0x6322, 0xbd30},
+ {0x8359, 0x59dd, 0x1831, 0x7c1a, 0x1e83, 0xaee1, 0x770d, 0xcea8,
+ 0xfbb1, 0xeed6, 0x10b5, 0xe2c6, 0x36ea, 0xee17, 0xe32c, 0xffff},
+ {0x1727, 0x0f36, 0x6f85, 0x5d0c, 0xca6c, 0x3072, 0x9628, 0x5842,
+ 0xcb44, 0x7c2b, 0xca4f, 0x62e5, 0x29b1, 0x6ffd, 0x9055, 0xc196}},
+ {{0x905d, 0x41c8, 0xa2ff, 0x295b, 0x72bb, 0x4679, 0x6d01, 0x2c98,
+ 0xb3e0, 0xc537, 0xa310, 0xe07e, 0xe72f, 0x4999, 0x1148, 0xf65e},
+ {0x5b41, 0x4239, 0x3c37, 0x5130, 0x30e3, 0xff35, 0xc51f, 0x1a43,
+ 0xdb23, 0x13cf, 0x9f49, 0xf70c, 0x5e70, 0xd411, 0x3005, 0xf8c6},
+ {0xc30e, 0x68f0, 0x201a, 0xe10c, 0x864a, 0x6243, 0xe946, 0x43ae,
+ 0xf3f1, 0x52dc, 0x1f7f, 0x50d4, 0x2797, 0x064c, 0x5ca4, 0x90e3}},
+ {{0xf1b5, 0xc6e5, 0xd2c4, 0xff95, 0x27c5, 0x0c92, 0x5d19, 0x7ae5,
+ 0x4fbe, 0x5438, 0x99e1, 0x880d, 0xd892, 0xa05c, 0x6ffd, 0x7eac},
+ {0x2153, 0xcc9d, 0xfc6c, 0x8358, 0x49a1, 0x01e2, 0xcef0, 0x4969,
+ 0xd69a, 0x8cef, 0xf5b2, 0xfd95, 0xdcc2, 0x71f4, 0x6ae2, 0xceeb},
+ {0x9b2e, 0xcdc6, 0x0a5c, 0x7317, 0x9084, 0xe228, 0x56cf, 0xd512,
+ 0x628a, 0xce21, 0x3473, 0x4e13, 0x8823, 0x1ed0, 0x34d0, 0xbfa3}},
+ {{0x5bae, 0x53e5, 0x5f4d, 0x21ca, 0xb875, 0x8ecf, 0x9aa6, 0xbe3c,
+ 0x9f96, 0x7b82, 0x375d, 0x4d3e, 0x491c, 0xb1eb, 0x04c9, 0xb6c8},
+ {0xfcfd, 0x10b7, 0x73b2, 0xd23b, 0xa357, 0x67da, 0x0d9f, 0x8702,
+ 0xa037, 0xff8e, 0x0e8b, 0x1801, 0x2c5c, 0x4e6e, 0x4558, 0xfff2},
+ {0xc50f, 0x5654, 0x6713, 0x5ef5, 0xa7ce, 0xa647, 0xc832, 0x69ce,
+ 0x1d5c, 0x4310, 0x0746, 0x5a01, 0x96ea, 0xde4b, 0xa88b, 0x5543}},
+ {{0xdc7f, 0x5e8c, 0x89d1, 0xb077, 0xd521, 0xcf90, 0x32fa, 0x5737,
+ 0x839e, 0x1464, 0x007c, 0x09c6, 0x9371, 0xe8ea, 0xc1cb, 0x75c4},
+ {0xe3a3, 0x107f, 0xa82a, 0xa375, 0x4578, 0x60f4, 0x75c9, 0x5ee4,
+ 0x3fd7, 0x2736, 0x2871, 0xd3d2, 0x5f1d, 0x1abb, 0xa764, 0xffff},
+ {0x45c6, 0x1f2e, 0xb14c, 0x84d7, 0x7bb7, 0x5a04, 0x0504, 0x3f33,
+ 0x5cc1, 0xb07a, 0x6a6c, 0x786f, 0x647f, 0xe1d7, 0x78a2, 0x4cf4}},
+ {{0xc006, 0x356f, 0x8cd2, 0x967b, 0xb49e, 0x2d4e, 0x14bf, 0x4bcb,
+ 0xddab, 0xd3f9, 0xa068, 0x2c1c, 0xd242, 0xa56d, 0xf2c7, 0x5f97},
+ {0x465b, 0xb745, 0x0e0d, 0x69a9, 0x987d, 0xcb37, 0xf637, 0xb311,
+ 0xc4d6, 0x2ddb, 0xf68f, 0x2af9, 0x959d, 0x3f53, 0x98f2, 0xf640},
+ {0xc0f2, 0x6bfb, 0xf5c3, 0x91c1, 0x6b05, 0x0825, 0x5ca0, 0x7df7,
+ 0x9d55, 0x6d9e, 0xfe94, 0x2ad9, 0xd9f0, 0xe68b, 0xa72b, 0xd1b2}},
+ {{0x2279, 0x61ba, 0x5bc6, 0x136b, 0xf544, 0x717c, 0xafda, 0x02bd,
+ 0x79af, 0x1fad, 0xea09, 0x81bb, 0x932b, 0x32c9, 0xdf1d, 0xe576},
+ {0x8215, 0x7817, 0xca82, 0x43b0, 0x9b06, 0xea65, 0x1291, 0x0621,
+ 0x0089, 0x46fe, 0xc5a6, 0xddd7, 0x8065, 0xc6a0, 0x214b, 0xfc64},
+ {0x04bf, 0x6f2a, 0x86b2, 0x841a, 0x4a95, 0xc632, 0x97b7, 0x5821,
+ 0x2b18, 0x1bb0, 0x3e97, 0x935e, 0xcc7d, 0x066b, 0xd513, 0xc251}},
+ {{0x76e8, 0x5bc2, 0x3eaa, 0x04fc, 0x9974, 0x92c1, 0x7c15, 0xfa89,
+ 0x1151, 0x36ee, 0x48b2, 0x049c, 0x5f16, 0xcee4, 0x925b, 0xe98e},
+ {0x913f, 0x0a2d, 0xa185, 0x9fea, 0xda5a, 0x4025, 0x40d7, 0x7cfa,
+ 0x88ca, 0xbbe8, 0xb265, 0xb7e4, 0x6cb1, 0xed64, 0xc6f9, 0xffb5},
+ {0x6ab1, 0x1a86, 0x5009, 0x152b, 0x1cc4, 0xe2c8, 0x960b, 0x19d0,
+ 0x3554, 0xc562, 0xd013, 0xcf91, 0x10e1, 0x7933, 0xe195, 0xcf49}},
+ {{0x9cb5, 0xd2d7, 0xc6ed, 0xa818, 0xb495, 0x06ee, 0x0f4a, 0x06e3,
+ 0x4c5a, 0x80ce, 0xd49a, 0x4cd7, 0x7487, 0x92af, 0xe516, 0x676c},
+ {0xd6e9, 0x6b85, 0x619a, 0xb52c, 0x20a0, 0x2f79, 0x3545, 0x1edd,
+ 0x5a6f, 0x8082, 0x9b80, 0xf8f8, 0xc78a, 0xd0a3, 0xadf4, 0xffff},
+ {0x01c2, 0x2118, 0xef5e, 0xa877, 0x046a, 0xd2c2, 0x2ad5, 0x951c,
+ 0x8900, 0xa5c9, 0x8d0f, 0x6b61, 0x55d3, 0xd572, 0x48de, 0x9219}},
+ {{0x5114, 0x0644, 0x23dd, 0x01d3, 0xc101, 0xa659, 0xea17, 0x640f,
+ 0xf767, 0x2644, 0x9cec, 0xd8ba, 0xd6da, 0x9156, 0x8aeb, 0x875a},
+ {0xc1bf, 0xdae9, 0xe96b, 0xce77, 0xf7a1, 0x3e99, 0x5c2e, 0x973b,
+ 0xd048, 0x5bd0, 0x4e8a, 0xcb85, 0xce39, 0x37f5, 0x815d, 0xffff},
+ {0x48cc, 0x35b6, 0x26d4, 0x2ea6, 0x50d6, 0xa2f9, 0x64b6, 0x03bf,
+ 0xd00c, 0xe057, 0x3343, 0xfb79, 0x3ce5, 0xf717, 0xc5af, 0xe185}},
+ {{0x13ff, 0x6c76, 0x2077, 0x16e0, 0xd5ca, 0xf2ad, 0x8dba, 0x8f49,
+ 0x7887, 0x16f9, 0xb646, 0xfc87, 0xfa31, 0x5096, 0xf08c, 0x3fbe},
+ {0x8139, 0x6fd7, 0xf6df, 0xa7bf, 0x6699, 0x5361, 0x6f65, 0x13c8,
+ 0xf4d1, 0xe28f, 0xc545, 0x0a8c, 0x5274, 0xb0a6, 0xffff, 0xffff},
+ {0x22ca, 0x0cd6, 0xc1b5, 0xb064, 0x44a7, 0x297b, 0x495f, 0x34ac,
+ 0xfa95, 0xec62, 0xf08d, 0x621c, 0x66a6, 0xba94, 0x84c6, 0x8ee0}},
+ {{0xaa30, 0x312e, 0x439c, 0x4e88, 0x2e2f, 0x32dc, 0xb880, 0xa28e,
+ 0xf795, 0xc910, 0xb406, 0x8dd7, 0xb187, 0xa5a5, 0x38f1, 0xe49e},
+ {0xfb19, 0xf64a, 0xba6a, 0x8ec2, 0x7255, 0xce89, 0x2cf9, 0x9cba,
+ 0xe1fe, 0x50da, 0x1705, 0xac52, 0xe3d4, 0x4269, 0x0648, 0xfd77},
+ {0xb4c8, 0x6e8a, 0x2b5f, 0x4c2d, 0x5a67, 0xa7bb, 0x7d6d, 0x5569,
+ 0xa0ea, 0x244a, 0xc0f2, 0xf73d, 0x58cf, 0xac7f, 0xd32b, 0x3018}},
+ {{0xc953, 0x1ae1, 0xae46, 0x8709, 0x19c2, 0xa986, 0x9abe, 0x1611,
+ 0x0395, 0xd5ab, 0xf0f6, 0xb5b0, 0x5b2b, 0x0317, 0x80ba, 0x376d},
+ {0xfe77, 0xbc03, 0xac2f, 0x9d00, 0xa175, 0x293d, 0x3b56, 0x0e3a,
+ 0x0a9c, 0xf40c, 0x690e, 0x1508, 0x95d4, 0xddc4, 0xe805, 0xffff},
+ {0xb1ce, 0x0929, 0xa5fe, 0x4b50, 0x9d5d, 0x8187, 0x2557, 0x4376,
+ 0x11ba, 0xdcef, 0xc1f3, 0xd531, 0x1824, 0x93f6, 0xd81f, 0x8f83}},
+ {{0xb8d2, 0xb900, 0x4a0c, 0x7188, 0xa5bf, 0x1b0b, 0x2ae5, 0xa35b,
+ 0x98e0, 0x610c, 0x86db, 0x2487, 0xa267, 0x002c, 0xebb6, 0xc5f4},
+ {0x9cdd, 0x1c1b, 0x2f06, 0x43d1, 0xce47, 0xc334, 0x6e60, 0xc016,
+ 0x989e, 0x0ab2, 0x0cac, 0x1196, 0xe2d9, 0x2e04, 0xc62b, 0xffff},
+ {0xdc36, 0x1f05, 0x6aa9, 0x7a20, 0x944f, 0x2fd3, 0xa553, 0xdb4f,
+ 0xbd5c, 0x3a75, 0x25d4, 0xe20e, 0xa387, 0x1410, 0xdbb1, 0x1b60}},
+ {{0x76b3, 0x2207, 0x4930, 0x5dd7, 0x65a0, 0xd55c, 0xb443, 0x53b7,
+ 0x5c22, 0x818a, 0xb2e7, 0x9de8, 0x9985, 0xed45, 0x33b1, 0x53e8},
+ {0x7913, 0x44e1, 0xf15b, 0x5edd, 0x34f3, 0x4eba, 0x0758, 0x7104,
+ 0x32d9, 0x28f3, 0x4401, 0x85c5, 0xb695, 0xb899, 0xc0f2, 0xffff},
+ {0x7f43, 0xd202, 0x24c9, 0x69f3, 0x74dc, 0x1a69, 0xeaee, 0x5405,
+ 0x1755, 0x4bb8, 0x04e3, 0x2fd2, 0xada8, 0x39eb, 0x5b4d, 0x96ca}},
+ {{0x807b, 0x7112, 0xc088, 0xdafd, 0x02fa, 0x9d95, 0x5e42, 0xc033,
+ 0xde0a, 0xeecf, 0x8e90, 0x8da1, 0xb17e, 0x9a5b, 0x4c6d, 0x1914},
+ {0x4871, 0xd1cb, 0x47d7, 0x327f, 0x09ec, 0x97bb, 0x2fae, 0xd346,
+ 0x6b78, 0x3707, 0xfeb2, 0xa6ab, 0x13df, 0x76b0, 0x8fb9, 0xffb3},
+ {0x179e, 0xb63b, 0x4784, 0x231e, 0x9f42, 0x7f1a, 0xa3fb, 0xdd8c,
+ 0xd1eb, 0xb4c9, 0x8ca7, 0x018c, 0xf691, 0x576c, 0xa7d6, 0xce27}},
+ {{0x5f45, 0x7c64, 0x083d, 0xedd5, 0x08a0, 0x0c64, 0x6c6f, 0xec3c,
+ 0xe2fb, 0x352c, 0x9303, 0x75e4, 0xb4e0, 0x8b09, 0xaca4, 0x7025},
+ {0x1025, 0xb482, 0xfed5, 0xa678, 0x8966, 0x9359, 0x5329, 0x98bb,
+ 0x85b2, 0x73ba, 0x9982, 0x6fdc, 0xf190, 0xbe8c, 0xdc5c, 0xfd93},
+ {0x83a2, 0x87a4, 0xa680, 0x52a1, 0x1ba1, 0x8848, 0x5db7, 0x9744,
+ 0x409c, 0x0745, 0x0e1e, 0x1cfc, 0x00cd, 0xf573, 0x2071, 0xccaa}},
+ {{0xf61f, 0x63d4, 0x536c, 0x9eb9, 0x5ddd, 0xbb11, 0x9014, 0xe904,
+ 0xfe01, 0x6b45, 0x1858, 0xcb5b, 0x4c38, 0x43e1, 0x381d, 0x7f94},
+ {0xf61f, 0x63d4, 0xd810, 0x7ca3, 0x8a04, 0x4b83, 0x11fc, 0xdf94,
+ 0x4169, 0xbd05, 0x608e, 0x7151, 0x4fbf, 0xb31a, 0x38a7, 0xa29b},
+ {0xe621, 0xdfa5, 0x3d06, 0x1d03, 0x81e6, 0x00da, 0x53a6, 0x965e,
+ 0x93e5, 0x2164, 0x5b61, 0x59b8, 0xa629, 0x8d73, 0x699a, 0x6111}},
+ {{0x4cc3, 0xd29e, 0xf4a3, 0x3428, 0x2048, 0xeec9, 0x5f50, 0x99a4,
+ 0x6de9, 0x05f2, 0x5aa9, 0x5fd2, 0x98b4, 0x1adc, 0x225f, 0x777f},
+ {0xe649, 0x37da, 0x5ba6, 0x5765, 0x3f4a, 0x8a1c, 0x2e79, 0xf550,
+ 0x1a54, 0xcd1e, 0x7218, 0x3c3c, 0x6311, 0xfe28, 0x95fb, 0xed97},
+ {0xe9b6, 0x0c47, 0x3f0e, 0x849b, 0x11f8, 0xe599, 0x5e4d, 0xd618,
+ 0xa06d, 0x33a0, 0x9a3e, 0x44db, 0xded8, 0x10f0, 0x94d2, 0x81fb}},
+ {{0x2e59, 0x7025, 0xd413, 0x455a, 0x1ce3, 0xbd45, 0x7263, 0x27f7,
+ 0x23e3, 0x518e, 0xbe06, 0xc8c4, 0xe332, 0x4276, 0x68b4, 0xb166},
+ {0x596f, 0x0cf6, 0xc8ec, 0x787b, 0x04c1, 0x473c, 0xd2b8, 0x8d54,
+ 0x9cdf, 0x77f2, 0xd3f3, 0x6735, 0x0638, 0xf80e, 0x9467, 0xc6aa},
+ {0xc7e7, 0x1822, 0xb62a, 0xec0d, 0x89cd, 0x7846, 0xbfa2, 0x35d5,
+ 0xfa38, 0x870f, 0x494b, 0x1697, 0x8b17, 0xf904, 0x10b6, 0x9822}},
+ {{0x6d5b, 0x1d4f, 0x0aaf, 0x807b, 0x35fb, 0x7ee8, 0x00c6, 0x059a,
+ 0xddf0, 0x1fb1, 0xc38a, 0xd78e, 0x2aa4, 0x79e7, 0xad28, 0xc3f1},
+ {0xe3bb, 0x174e, 0xe0a8, 0x74b6, 0xbd5b, 0x35f6, 0x6d23, 0x6328,
+ 0xc11f, 0x83e1, 0xf928, 0xa918, 0x838e, 0xbf43, 0xe243, 0xfffb},
+ {0x9cf2, 0x6b8b, 0x3476, 0x9d06, 0xdcf2, 0xdb8a, 0x89cd, 0x4857,
+ 0x75c2, 0xabb8, 0x490b, 0xc9bd, 0x890e, 0xe36e, 0xd552, 0xfffa}},
+ {{0x2f09, 0x9d62, 0xa9fc, 0xf090, 0xd6d1, 0x9d1d, 0x1828, 0xe413,
+ 0xc92b, 0x3d5a, 0x1373, 0x368c, 0xbaf2, 0x2158, 0x71eb, 0x08a3},
+ {0x2f09, 0x1d62, 0x4630, 0x0de1, 0x06dc, 0xf7f1, 0xc161, 0x1e92,
+ 0x7495, 0x97e4, 0x94b6, 0xa39e, 0x4f1b, 0x18f8, 0x7bd4, 0x0c4c},
+ {0xeb3d, 0x723d, 0x0907, 0x525b, 0x463a, 0x49a8, 0xc6b8, 0xce7f,
+ 0x740c, 0x0d7d, 0xa83b, 0x457f, 0xae8e, 0xc6af, 0xd331, 0x0475}},
+ {{0x6abd, 0xc7af, 0x3e4e, 0x95fd, 0x8fc4, 0xee25, 0x1f9c, 0x0afe,
+ 0x291d, 0xcde0, 0x48f4, 0xb2e8, 0xf7af, 0x8f8d, 0x0bd6, 0x078d},
+ {0x4037, 0xbf0e, 0x2081, 0xf363, 0x13b2, 0x381e, 0xfb6e, 0x818e,
+ 0x27e4, 0x5662, 0x18b0, 0x0cd2, 0x81f5, 0x9415, 0x0d6c, 0xf9fb},
+ {0xd205, 0x0981, 0x0498, 0x1f08, 0xdb93, 0x1732, 0x0579, 0x1424,
+ 0xad95, 0x642f, 0x050c, 0x1d6d, 0xfc95, 0xfc4a, 0xd41b, 0x3521}},
+ {{0xf23a, 0x4633, 0xaef4, 0x1a92, 0x3c8b, 0x1f09, 0x30f3, 0x4c56,
+ 0x2a2f, 0x4f62, 0xf5e4, 0x8329, 0x63cc, 0xb593, 0xec6a, 0xc428},
+ {0x93a7, 0xfcf6, 0x606d, 0xd4b2, 0x2aad, 0x28b4, 0xc65b, 0x8998,
+ 0x4e08, 0xd178, 0x0900, 0xc82b, 0x7470, 0xa342, 0x7c0f, 0xffff},
+ {0x315f, 0xf304, 0xeb7b, 0xe5c3, 0x1451, 0x6311, 0x8f37, 0x93a8,
+ 0x4a38, 0xa6c6, 0xe393, 0x1087, 0x6301, 0xd673, 0x4ec4, 0xffff}},
+ {{0x892e, 0xeed0, 0x1165, 0xcbc1, 0x5545, 0xa280, 0x7243, 0x10c9,
+ 0x9536, 0x36af, 0xb3fc, 0x2d7c, 0xe8a5, 0x09d6, 0xe1d4, 0xe85d},
+ {0xae09, 0xc28a, 0xd777, 0xbd80, 0x23d6, 0xf980, 0xeb7c, 0x4e0e,
+ 0xf7dc, 0x6475, 0xf10a, 0x2d33, 0x5dfd, 0x797a, 0x7f1c, 0xf71a},
+ {0x4064, 0x8717, 0xd091, 0x80b0, 0x4527, 0x8442, 0xac8b, 0x9614,
+ 0xc633, 0x35f5, 0x7714, 0x2e83, 0x4aaa, 0xd2e4, 0x1acd, 0x0562}},
+ {{0xdb64, 0x0937, 0x308b, 0x53b0, 0x00e8, 0xc77f, 0x2f30, 0x37f7,
+ 0x79ce, 0xeb7f, 0xde81, 0x9286, 0xafda, 0x0e62, 0xae00, 0x0067},
+ {0x2cc7, 0xd362, 0xb161, 0x0557, 0x4ff2, 0xb9c8, 0x06fe, 0x5f2b,
+ 0xde33, 0x0190, 0x28c6, 0xb886, 0xee2b, 0x5a4e, 0x3289, 0x0185},
+ {0x4215, 0x923e, 0xf34f, 0xb362, 0x88f8, 0xceec, 0xafdd, 0x7f42,
+ 0x0c57, 0x56b2, 0xa366, 0x6a08, 0x0826, 0xfb8f, 0x1b03, 0x0163}},
+ {{0xa4ba, 0x8408, 0x810a, 0xdeba, 0x47a3, 0x853a, 0xeb64, 0x2f74,
+ 0x3039, 0x038c, 0x7fbb, 0x498e, 0xd1e9, 0x46fb, 0x5691, 0x32a4},
+ {0xd749, 0xb49d, 0x20b7, 0x2af6, 0xd34a, 0xd2da, 0x0a10, 0xf781,
+ 0x58c9, 0x171f, 0x3cb6, 0x6337, 0x88cd, 0xcf1e, 0xb246, 0x7351},
+ {0xf729, 0xcf0a, 0x96ea, 0x032c, 0x4a8f, 0x42fe, 0xbac8, 0xec65,
+ 0x1510, 0x0d75, 0x4c17, 0x8d29, 0xa03f, 0x8b7e, 0x2c49, 0x0000}},
+ {{0x0fa4, 0x8e1c, 0x3788, 0xba3c, 0x8d52, 0xd89d, 0x12c8, 0xeced,
+ 0x9fe6, 0x9b88, 0xecf3, 0xe3c8, 0xac48, 0x76ed, 0xf23e, 0xda79},
+ {0x1103, 0x227c, 0x5b00, 0x3fcf, 0xc5d0, 0x2d28, 0x8020, 0x4d1c,
+ 0xc6b9, 0x67f9, 0x6f39, 0x989a, 0xda53, 0x3847, 0xd416, 0xe0d0},
+ {0xdd8e, 0xcf31, 0x3710, 0x7e44, 0xa511, 0x933c, 0x0cc3, 0x5145,
+ 0xf632, 0x5e1d, 0x038f, 0x5ce7, 0x7265, 0xda9d, 0xded6, 0x08f8}},
+ {{0xe2c8, 0x91d5, 0xa5f5, 0x735f, 0x6b58, 0x56dc, 0xb39d, 0x5c4a,
+ 0x57d0, 0xa1c2, 0xd92f, 0x9ad4, 0xf7c4, 0x51dd, 0xaf5c, 0x0096},
+ {0x1739, 0x7207, 0x7505, 0xbf35, 0x42de, 0x0a29, 0xa962, 0xdedf,
+ 0x53e8, 0x12bf, 0xcde7, 0xd8e2, 0x8d4d, 0x2c4b, 0xb1b1, 0x0628},
+ {0x992d, 0xe3a7, 0xb422, 0xc198, 0x23ab, 0xa6ef, 0xb45d, 0x50da,
+ 0xa738, 0x014a, 0x2310, 0x85fb, 0x5fe8, 0x1b18, 0x1774, 0x03a7}},
+ {{0x1f16, 0x2b09, 0x0236, 0xee90, 0xccf9, 0x9775, 0x8130, 0x4c91,
+ 0x9091, 0x310b, 0x6dc4, 0x86f6, 0xc2e8, 0xef60, 0xfc0e, 0xf3a4},
+ {0x9f49, 0xac15, 0x02af, 0x110f, 0xc59d, 0x5677, 0xa1a9, 0x38d5,
+ 0x914f, 0xa909, 0x3a3a, 0x4a39, 0x3703, 0xea30, 0x73da, 0xffad},
+ {0x15ed, 0xdd16, 0x83c7, 0x270a, 0x862f, 0xd8ad, 0xcaa1, 0x5f41,
+ 0x99a9, 0x3fc8, 0x7bb2, 0x360a, 0xb06d, 0xfadc, 0x1b36, 0xffa8}},
+ {{0xc4e0, 0xb8fd, 0x5106, 0xe169, 0x754c, 0xa58c, 0xc413, 0x8224,
+ 0x5483, 0x63ec, 0xd477, 0x8473, 0x4778, 0x9281, 0x0000, 0x0000},
+ {0x85e1, 0xff54, 0xb200, 0xe413, 0xf4f4, 0x4c0f, 0xfcec, 0xc183,
+ 0x60d3, 0x1b0c, 0x3834, 0x601c, 0x943c, 0xbe6e, 0x0002, 0x0000},
+ {0xf4f8, 0xfd5e, 0x61ef, 0xece8, 0x9199, 0xe5c4, 0x05a6, 0xe6c3,
+ 0xc4ae, 0x8b28, 0x66b1, 0x8a95, 0x9ece, 0x8f4a, 0x0001, 0x0000}},
+ {{0xeae9, 0xa1b4, 0xc6d8, 0x2411, 0x2b5a, 0x1dd0, 0x2dc9, 0xb57b,
+ 0x5ccd, 0x4957, 0xaf59, 0xa04b, 0x5f42, 0xab7c, 0x2826, 0x526f},
+ {0xf407, 0x165a, 0xb724, 0x2f12, 0x2ea1, 0x470b, 0x4464, 0xbd35,
+ 0x606f, 0xd73e, 0x50d3, 0x8a7f, 0x8029, 0x7ffc, 0xbe31, 0x6cfb},
+ {0x8171, 0x1f4c, 0xced2, 0x9c99, 0x6d7e, 0x5a0f, 0xfefb, 0x59e3,
+ 0xa0c8, 0xabd9, 0xc4c5, 0x57d3, 0xbfa3, 0x4f11, 0x96a2, 0x5a7d}},
+ {{0xe068, 0x4cc0, 0x8bcd, 0xc903, 0x9e52, 0xb3e1, 0xd745, 0x0995,
+ 0xdd8f, 0xf14b, 0xd2ac, 0xd65a, 0xda1d, 0xa742, 0xbac5, 0x474c},
+ {0x7481, 0xf2ad, 0x9757, 0x2d82, 0xb683, 0xb16b, 0x0002, 0x7b60,
+ 0x8f0c, 0x2594, 0x8f64, 0x3b7a, 0x3552, 0x8d9d, 0xb9d7, 0x67eb},
+ {0xcaab, 0xb9a1, 0xf966, 0xe311, 0x5b34, 0x0fa0, 0x6abc, 0x8134,
+ 0xab3d, 0x90f6, 0x1984, 0x9232, 0xec17, 0x74e5, 0x2ceb, 0x434e}},
+ {{0x0fb1, 0x7a55, 0x1a5c, 0x53eb, 0xd7b3, 0x7a01, 0xca32, 0x31f6,
+ 0x3b74, 0x679e, 0x1501, 0x6c57, 0xdb20, 0x8b7c, 0xd7d0, 0x8097},
+ {0xb127, 0xb20c, 0xe3a2, 0x96f3, 0xe0d8, 0xd50c, 0x14b4, 0x0b40,
+ 0x6eeb, 0xa258, 0x99db, 0x3c8c, 0x0f51, 0x4198, 0x3887, 0xffd0},
+ {0x0273, 0x9f8c, 0x9669, 0xbbba, 0x1c49, 0x767c, 0xc2af, 0x59f0,
+ 0x1366, 0xd397, 0x63ac, 0x6fe8, 0x1a9a, 0x1259, 0x01d0, 0x0016}},
+ {{0x7876, 0x2a35, 0xa24a, 0x433e, 0x5501, 0x573c, 0xd76d, 0xcb82,
+ 0x1334, 0xb4a6, 0xf290, 0xc797, 0xeae9, 0x2b83, 0x1e2b, 0x8b14},
+ {0x3885, 0x8aef, 0x9dea, 0x2b8c, 0xdd7c, 0xd7cd, 0xb0cc, 0x05ee,
+ 0x361b, 0x3800, 0xb0d4, 0x4c23, 0xbd3f, 0x5180, 0x9783, 0xff80},
+ {0xab36, 0x3104, 0xdae8, 0x0704, 0x4a28, 0x6714, 0x824b, 0x0051,
+ 0x8134, 0x1f6a, 0x712d, 0x1f03, 0x03b2, 0xecac, 0x377d, 0xfef9}}
+ };
+
+ int i, j, ok;
+
+ /* Test known inputs/outputs */
+ for (i = 0; (size_t)i < sizeof(CASES) / sizeof(CASES[0]); ++i) {
+ uint16_t out[16];
+ test_modinv32_uint16(out, CASES[i][0], CASES[i][1]);
+ for (j = 0; j < 16; ++j) CHECK(out[j] == CASES[i][2][j]);
+#ifdef SECP256K1_WIDEMUL_INT128
+ test_modinv64_uint16(out, CASES[i][0], CASES[i][1]);
+ for (j = 0; j < 16; ++j) CHECK(out[j] == CASES[i][2][j]);
+#endif
+ }
+
+ for (i = 0; i < 100 * COUNT; ++i) {
+ /* 256-bit numbers in 16-uint16_t's notation */
+ static const uint16_t ZERO[16] = {0};
+ uint16_t xd[16]; /* the number (in range [0,2^256)) to be inverted */
+ uint16_t md[16]; /* the modulus (odd, in range [3,2^256)) */
+ uint16_t id[16]; /* the inverse of xd mod md */
+
+ /* generate random xd and md, so that md is odd, md>1, xd>= 16;
+ }
+}
+
+/* Negate a 256-bit number (represented as 16 uint16_t's in LE order) mod 2^256. */
+static void neg256(uint16_t* out, const uint16_t* a) {
+ int i;
+ uint32_t carry = 1;
+ for (i = 0; i < 16; ++i) {
+ carry += (uint16_t)~a[i];
+ out[i] = carry;
+ carry >>= 16;
+ }
+}
+
+/* Right-shift a 256-bit number (represented as 16 uint16_t's in LE order). */
+static void rshift256(uint16_t* out, const uint16_t* a, int n, int sign_extend) {
+ uint16_t sign = sign_extend && (a[15] >> 15);
+ int i, j;
+ for (i = 15; i >= 0; --i) {
+ uint16_t v = 0;
+ for (j = 0; j < 16; ++j) {
+ int frompos = i*16 + j + n;
+ if (frompos >= 256) {
+ v |= sign << j;
+ } else {
+ v |= ((uint16_t)((a[frompos >> 4] >> (frompos & 15)) & 1)) << j;
+ }
+ }
+ out[i] = v;
+ }
+}
+
+/* Load a 64-bit unsigned integer into an array of 16 uint16_t's in LE order representing a 256-bit value. */
+static void load256u64(uint16_t* out, uint64_t v, int is_signed) {
+ int i;
+ uint64_t sign = is_signed && (v >> 63) ? UINT64_MAX : 0;
+ for (i = 0; i < 4; ++i) {
+ out[i] = v >> (16 * i);
+ }
+ for (i = 4; i < 16; ++i) {
+ out[i] = sign;
+ }
+}
+
+/* Load a 128-bit unsigned integer into an array of 16 uint16_t's in LE order representing a 256-bit value. */
+static void load256two64(uint16_t* out, uint64_t hi, uint64_t lo, int is_signed) {
+ int i;
+ uint64_t sign = is_signed && (hi >> 63) ? UINT64_MAX : 0;
+ for (i = 0; i < 4; ++i) {
+ out[i] = lo >> (16 * i);
+ }
+ for (i = 4; i < 8; ++i) {
+ out[i] = hi >> (16 * (i - 4));
+ }
+ for (i = 8; i < 16; ++i) {
+ out[i] = sign;
+ }
+}
+
+/* Check whether the 256-bit value represented by array of 16-bit values is in range -2^127 < v < 2^127. */
+static int int256is127(const uint16_t* v) {
+ int all_0 = ((v[7] & 0x8000) == 0), all_1 = ((v[7] & 0x8000) == 0x8000);
int i;
- for (i = 0; i < 100*count; i++) {
- test_num_negate();
- test_num_add_sub();
- test_num_mod();
- test_num_jacobi();
+ for (i = 8; i < 16; ++i) {
+ if (v[i] != 0) all_0 = 0;
+ if (v[i] != 0xffff) all_1 = 0;
+ }
+ return all_0 || all_1;
+}
+
+static void load256u128(uint16_t* out, const secp256k1_uint128* v) {
+ uint64_t lo = secp256k1_u128_to_u64(v), hi = secp256k1_u128_hi_u64(v);
+ load256two64(out, hi, lo, 0);
+}
+
+static void load256i128(uint16_t* out, const secp256k1_int128* v) {
+ uint64_t lo;
+ int64_t hi;
+ secp256k1_int128 c = *v;
+ lo = secp256k1_i128_to_u64(&c);
+ secp256k1_i128_rshift(&c, 64);
+ hi = secp256k1_i128_to_i64(&c);
+ load256two64(out, hi, lo, 1);
+}
+
+static void run_int128_test_case(void) {
+ unsigned char buf[32];
+ uint64_t v[4];
+ secp256k1_int128 swa, swz;
+ secp256k1_uint128 uwa, uwz;
+ uint64_t ub, uc;
+ int64_t sb, sc;
+ uint16_t rswa[16], rswz[32], rswr[32], ruwa[16], ruwz[32], ruwr[32];
+ uint16_t rub[16], ruc[16], rsb[16], rsc[16];
+ int i;
+
+ /* Generate 32-byte random value. */
+ testrand256_test(buf);
+ /* Convert into 4 64-bit integers. */
+ for (i = 0; i < 4; ++i) {
+ uint64_t vi = 0;
+ int j;
+ for (j = 0; j < 8; ++j) vi = (vi << 8) + buf[8*i + j];
+ v[i] = vi;
+ }
+ /* Convert those into a 128-bit value and two 64-bit values (signed and unsigned). */
+ secp256k1_u128_load(&uwa, v[1], v[0]);
+ secp256k1_i128_load(&swa, v[1], v[0]);
+ ub = v[2];
+ sb = v[2];
+ uc = v[3];
+ sc = v[3];
+ /* Load those also into 16-bit array representations. */
+ load256u128(ruwa, &uwa);
+ load256i128(rswa, &swa);
+ load256u64(rub, ub, 0);
+ load256u64(rsb, sb, 1);
+ load256u64(ruc, uc, 0);
+ load256u64(rsc, sc, 1);
+ /* test secp256k1_u128_mul */
+ mulmod256(ruwr, rub, ruc, NULL);
+ secp256k1_u128_mul(&uwz, ub, uc);
+ load256u128(ruwz, &uwz);
+ CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0);
+ /* test secp256k1_u128_accum_mul */
+ mulmod256(ruwr, rub, ruc, NULL);
+ add256(ruwr, ruwr, ruwa);
+ uwz = uwa;
+ secp256k1_u128_accum_mul(&uwz, ub, uc);
+ load256u128(ruwz, &uwz);
+ CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0);
+ /* test secp256k1_u128_accum_u64 */
+ add256(ruwr, rub, ruwa);
+ uwz = uwa;
+ secp256k1_u128_accum_u64(&uwz, ub);
+ load256u128(ruwz, &uwz);
+ CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0);
+ /* test secp256k1_u128_rshift */
+ rshift256(ruwr, ruwa, uc % 128, 0);
+ uwz = uwa;
+ secp256k1_u128_rshift(&uwz, uc % 128);
+ load256u128(ruwz, &uwz);
+ CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0);
+ /* test secp256k1_u128_to_u64 */
+ CHECK(secp256k1_u128_to_u64(&uwa) == v[0]);
+ /* test secp256k1_u128_hi_u64 */
+ CHECK(secp256k1_u128_hi_u64(&uwa) == v[1]);
+ /* test secp256k1_u128_from_u64 */
+ secp256k1_u128_from_u64(&uwz, ub);
+ load256u128(ruwz, &uwz);
+ CHECK(secp256k1_memcmp_var(rub, ruwz, 16) == 0);
+ /* test secp256k1_u128_check_bits */
+ {
+ int uwa_bits = 0;
+ int j;
+ for (j = 0; j < 128; ++j) {
+ if (ruwa[j / 16] >> (j % 16)) uwa_bits = 1 + j;
+ }
+ for (j = 0; j < 128; ++j) {
+ CHECK(secp256k1_u128_check_bits(&uwa, j) == (uwa_bits <= j));
+ }
+ }
+ /* test secp256k1_i128_mul */
+ mulmod256(rswr, rsb, rsc, NULL);
+ secp256k1_i128_mul(&swz, sb, sc);
+ load256i128(rswz, &swz);
+ CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0);
+ /* test secp256k1_i128_accum_mul */
+ mulmod256(rswr, rsb, rsc, NULL);
+ add256(rswr, rswr, rswa);
+ if (int256is127(rswr)) {
+ swz = swa;
+ secp256k1_i128_accum_mul(&swz, sb, sc);
+ load256i128(rswz, &swz);
+ CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0);
+ }
+ /* test secp256k1_i128_det */
+ {
+ uint16_t rsd[16], rse[16], rst[32];
+ int64_t sd = v[0], se = v[1];
+ load256u64(rsd, sd, 1);
+ load256u64(rse, se, 1);
+ mulmod256(rst, rsc, rsd, NULL);
+ neg256(rst, rst);
+ mulmod256(rswr, rsb, rse, NULL);
+ add256(rswr, rswr, rst);
+ secp256k1_i128_det(&swz, sb, sc, sd, se);
+ load256i128(rswz, &swz);
+ CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0);
+ }
+ /* test secp256k1_i128_rshift */
+ rshift256(rswr, rswa, uc % 127, 1);
+ swz = swa;
+ secp256k1_i128_rshift(&swz, uc % 127);
+ load256i128(rswz, &swz);
+ CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0);
+ /* test secp256k1_i128_to_u64 */
+ CHECK(secp256k1_i128_to_u64(&swa) == v[0]);
+ /* test secp256k1_i128_from_i64 */
+ secp256k1_i128_from_i64(&swz, sb);
+ load256i128(rswz, &swz);
+ CHECK(secp256k1_memcmp_var(rsb, rswz, 16) == 0);
+ /* test secp256k1_i128_to_i64 */
+ CHECK(secp256k1_i128_to_i64(&swz) == sb);
+ /* test secp256k1_i128_eq_var */
+ {
+ int expect = (uc & 1);
+ swz = swa;
+ if (!expect) {
+ /* Make sure swz != swa */
+ uint64_t v0c = v[0], v1c = v[1];
+ if (ub & 64) {
+ v1c ^= (((uint64_t)1) << (ub & 63));
+ } else {
+ v0c ^= (((uint64_t)1) << (ub & 63));
+ }
+ secp256k1_i128_load(&swz, v1c, v0c);
+ }
+ CHECK(secp256k1_i128_eq_var(&swa, &swz) == expect);
+ }
+ /* test secp256k1_i128_check_pow2 (sign == 1) */
+ {
+ int expect = (uc & 1);
+ int pos = ub % 127;
+ if (expect) {
+ /* If expect==1, set swz to exactly 2^pos. */
+ uint64_t hi = 0;
+ uint64_t lo = 0;
+ if (pos >= 64) {
+ hi = (((uint64_t)1) << (pos & 63));
+ } else {
+ lo = (((uint64_t)1) << (pos & 63));
+ }
+ secp256k1_i128_load(&swz, hi, lo);
+ } else {
+ /* If expect==0, set swz = swa, but update expect=1 if swa happens to equal 2^pos. */
+ if (pos >= 64) {
+ if ((v[1] == (((uint64_t)1) << (pos & 63))) && v[0] == 0) expect = 1;
+ } else {
+ if ((v[0] == (((uint64_t)1) << (pos & 63))) && v[1] == 0) expect = 1;
+ }
+ swz = swa;
+ }
+ CHECK(secp256k1_i128_check_pow2(&swz, pos, 1) == expect);
+ }
+ /* test secp256k1_i128_check_pow2 (sign == -1) */
+ {
+ int expect = (uc & 1);
+ int pos = ub % 127;
+ if (expect) {
+ /* If expect==1, set swz to exactly -2^pos. */
+ uint64_t hi = ~(uint64_t)0;
+ uint64_t lo = ~(uint64_t)0;
+ if (pos >= 64) {
+ hi <<= (pos & 63);
+ lo = 0;
+ } else {
+ lo <<= (pos & 63);
+ }
+ secp256k1_i128_load(&swz, hi, lo);
+ } else {
+ /* If expect==0, set swz = swa, but update expect=1 if swa happens to equal -2^pos. */
+ if (pos >= 64) {
+ if ((v[1] == ((~(uint64_t)0) << (pos & 63))) && v[0] == 0) expect = 1;
+ } else {
+ if ((v[0] == ((~(uint64_t)0) << (pos & 63))) && v[1] == ~(uint64_t)0) expect = 1;
+ }
+ swz = swa;
+ }
+ CHECK(secp256k1_i128_check_pow2(&swz, pos, -1) == expect);
+ }
+}
+
+static void run_int128_tests(void) {
+ { /* secp256k1_u128_accum_mul */
+ secp256k1_uint128 res;
+
+ /* Check secp256k1_u128_accum_mul overflow */
+ secp256k1_u128_mul(&res, UINT64_MAX, UINT64_MAX);
+ secp256k1_u128_accum_mul(&res, UINT64_MAX, UINT64_MAX);
+ CHECK(secp256k1_u128_to_u64(&res) == 2);
+ CHECK(secp256k1_u128_hi_u64(&res) == 18446744073709551612U);
+ }
+ { /* secp256k1_u128_accum_mul */
+ secp256k1_int128 res;
+
+ /* Compute INT128_MAX = 2^127 - 1 with secp256k1_i128_accum_mul */
+ secp256k1_i128_mul(&res, INT64_MAX, INT64_MAX);
+ secp256k1_i128_accum_mul(&res, INT64_MAX, INT64_MAX);
+ CHECK(secp256k1_i128_to_u64(&res) == 2);
+ secp256k1_i128_accum_mul(&res, 4, 9223372036854775807);
+ secp256k1_i128_accum_mul(&res, 1, 1);
+ CHECK(secp256k1_i128_to_u64(&res) == UINT64_MAX);
+ secp256k1_i128_rshift(&res, 64);
+ CHECK(secp256k1_i128_to_i64(&res) == INT64_MAX);
+
+ /* Compute INT128_MIN = - 2^127 with secp256k1_i128_accum_mul */
+ secp256k1_i128_mul(&res, INT64_MAX, INT64_MIN);
+ CHECK(secp256k1_i128_to_u64(&res) == (uint64_t)INT64_MIN);
+ secp256k1_i128_accum_mul(&res, INT64_MAX, INT64_MIN);
+ CHECK(secp256k1_i128_to_u64(&res) == 0);
+ secp256k1_i128_accum_mul(&res, 2, INT64_MIN);
+ CHECK(secp256k1_i128_to_u64(&res) == 0);
+ secp256k1_i128_rshift(&res, 64);
+ CHECK(secp256k1_i128_to_i64(&res) == INT64_MIN);
+ }
+ {
+ /* Randomized tests. */
+ int i;
+ for (i = 0; i < 256 * COUNT; ++i) run_int128_test_case();
}
}
#endif
/***** SCALAR TESTS *****/
-void scalar_test(void) {
+static void scalar_test(void) {
secp256k1_scalar s;
secp256k1_scalar s1;
secp256k1_scalar s2;
-#ifndef USE_NUM_NONE
- secp256k1_num snum, s1num, s2num;
- secp256k1_num order, half_order;
-#endif
unsigned char c[32];
/* Set 's' to a random scalar, with value 'snum'. */
- random_scalar_order_test(&s);
+ testutil_random_scalar_order_test(&s);
/* Set 's1' to a random scalar, with value 's1num'. */
- random_scalar_order_test(&s1);
+ testutil_random_scalar_order_test(&s1);
/* Set 's2' to a random scalar, with value 'snum2', and byte array representation 'c'. */
- random_scalar_order_test(&s2);
+ testutil_random_scalar_order_test(&s2);
secp256k1_scalar_get_b32(c, &s2);
-#ifndef USE_NUM_NONE
- secp256k1_scalar_get_num(&snum, &s);
- secp256k1_scalar_get_num(&s1num, &s1);
- secp256k1_scalar_get_num(&s2num, &s2);
-
- secp256k1_scalar_order_get_num(&order);
- half_order = order;
- secp256k1_num_shift(&half_order, 1);
-#endif
-
{
int i;
/* Test that fetching groups of 4 bits from a scalar and recursing n(i)=16*n(i-1)+p(i) reconstructs it. */
@@ -657,7 +2034,7 @@ void scalar_test(void) {
for (i = 0; i < 256; i += 4) {
secp256k1_scalar t;
int j;
- secp256k1_scalar_set_int(&t, secp256k1_scalar_get_bits(&s, 256 - 4 - i, 4));
+ secp256k1_scalar_set_int(&t, secp256k1_scalar_get_bits_limb32(&s, 256 - 4 - i, 4));
for (j = 0; j < 4; j++) {
secp256k1_scalar_add(&n, &n, &n);
}
@@ -674,7 +2051,7 @@ void scalar_test(void) {
while (i < 256) {
secp256k1_scalar t;
int j;
- int now = secp256k1_rand_int(15) + 1;
+ int now = testrand_int(15) + 1;
if (now + i > 256) {
now = 256 - i;
}
@@ -688,122 +2065,6 @@ void scalar_test(void) {
CHECK(secp256k1_scalar_eq(&n, &s));
}
-#ifndef USE_NUM_NONE
- {
- /* Test that adding the scalars together is equal to adding their numbers together modulo the order. */
- secp256k1_num rnum;
- secp256k1_num r2num;
- secp256k1_scalar r;
- secp256k1_num_add(&rnum, &snum, &s2num);
- secp256k1_num_mod(&rnum, &order);
- secp256k1_scalar_add(&r, &s, &s2);
- secp256k1_scalar_get_num(&r2num, &r);
- CHECK(secp256k1_num_eq(&rnum, &r2num));
- }
-
- {
- /* Test that multiplying the scalars is equal to multiplying their numbers modulo the order. */
- secp256k1_scalar r;
- secp256k1_num r2num;
- secp256k1_num rnum;
- secp256k1_num_mul(&rnum, &snum, &s2num);
- secp256k1_num_mod(&rnum, &order);
- secp256k1_scalar_mul(&r, &s, &s2);
- secp256k1_scalar_get_num(&r2num, &r);
- CHECK(secp256k1_num_eq(&rnum, &r2num));
- /* The result can only be zero if at least one of the factors was zero. */
- CHECK(secp256k1_scalar_is_zero(&r) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_zero(&s2)));
- /* The results can only be equal to one of the factors if that factor was zero, or the other factor was one. */
- CHECK(secp256k1_num_eq(&rnum, &snum) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_one(&s2)));
- CHECK(secp256k1_num_eq(&rnum, &s2num) == (secp256k1_scalar_is_zero(&s2) || secp256k1_scalar_is_one(&s)));
- }
-
- {
- secp256k1_scalar neg;
- secp256k1_num negnum;
- secp256k1_num negnum2;
- /* Check that comparison with zero matches comparison with zero on the number. */
- CHECK(secp256k1_num_is_zero(&snum) == secp256k1_scalar_is_zero(&s));
- /* Check that comparison with the half order is equal to testing for high scalar. */
- CHECK(secp256k1_scalar_is_high(&s) == (secp256k1_num_cmp(&snum, &half_order) > 0));
- secp256k1_scalar_negate(&neg, &s);
- secp256k1_num_sub(&negnum, &order, &snum);
- secp256k1_num_mod(&negnum, &order);
- /* Check that comparison with the half order is equal to testing for high scalar after negation. */
- CHECK(secp256k1_scalar_is_high(&neg) == (secp256k1_num_cmp(&negnum, &half_order) > 0));
- /* Negating should change the high property, unless the value was already zero. */
- CHECK((secp256k1_scalar_is_high(&s) == secp256k1_scalar_is_high(&neg)) == secp256k1_scalar_is_zero(&s));
- secp256k1_scalar_get_num(&negnum2, &neg);
- /* Negating a scalar should be equal to (order - n) mod order on the number. */
- CHECK(secp256k1_num_eq(&negnum, &negnum2));
- secp256k1_scalar_add(&neg, &neg, &s);
- /* Adding a number to its negation should result in zero. */
- CHECK(secp256k1_scalar_is_zero(&neg));
- secp256k1_scalar_negate(&neg, &neg);
- /* Negating zero should still result in zero. */
- CHECK(secp256k1_scalar_is_zero(&neg));
- }
-
- {
- /* Test secp256k1_scalar_mul_shift_var. */
- secp256k1_scalar r;
- secp256k1_num one;
- secp256k1_num rnum;
- secp256k1_num rnum2;
- unsigned char cone[1] = {0x01};
- unsigned int shift = 256 + secp256k1_rand_int(257);
- secp256k1_scalar_mul_shift_var(&r, &s1, &s2, shift);
- secp256k1_num_mul(&rnum, &s1num, &s2num);
- secp256k1_num_shift(&rnum, shift - 1);
- secp256k1_num_set_bin(&one, cone, 1);
- secp256k1_num_add(&rnum, &rnum, &one);
- secp256k1_num_shift(&rnum, 1);
- secp256k1_scalar_get_num(&rnum2, &r);
- CHECK(secp256k1_num_eq(&rnum, &rnum2));
- }
-
- {
- /* test secp256k1_scalar_shr_int */
- secp256k1_scalar r;
- int i;
- random_scalar_order_test(&r);
- for (i = 0; i < 100; ++i) {
- int low;
- int shift = 1 + secp256k1_rand_int(15);
- int expected = r.d[0] % (1 << shift);
- low = secp256k1_scalar_shr_int(&r, shift);
- CHECK(expected == low);
- }
- }
-#endif
-
- {
- /* Test that scalar inverses are equal to the inverse of their number modulo the order. */
- if (!secp256k1_scalar_is_zero(&s)) {
- secp256k1_scalar inv;
-#ifndef USE_NUM_NONE
- secp256k1_num invnum;
- secp256k1_num invnum2;
-#endif
- secp256k1_scalar_inverse(&inv, &s);
-#ifndef USE_NUM_NONE
- secp256k1_num_mod_inverse(&invnum, &snum, &order);
- secp256k1_scalar_get_num(&invnum2, &inv);
- CHECK(secp256k1_num_eq(&invnum, &invnum2));
-#endif
- secp256k1_scalar_mul(&inv, &inv, &s);
- /* Multiplying a scalar with its inverse must result in one. */
- CHECK(secp256k1_scalar_is_one(&inv));
- secp256k1_scalar_inverse(&inv, &inv);
- /* Inverting one must result in one. */
- CHECK(secp256k1_scalar_is_one(&inv));
-#ifndef USE_NUM_NONE
- secp256k1_scalar_get_num(&invnum, &inv);
- CHECK(secp256k1_num_is_one(&invnum));
-#endif
- }
- }
-
{
/* Test commutativity of add. */
secp256k1_scalar r1, r2;
@@ -817,7 +2078,7 @@ void scalar_test(void) {
secp256k1_scalar b;
int i;
/* Test add_bit. */
- int bit = secp256k1_rand_bits(8);
+ int bit = testrand_bits(8);
secp256k1_scalar_set_int(&b, 1);
CHECK(secp256k1_scalar_is_one(&b));
for (i = 0; i < bit; i++) {
@@ -874,72 +2135,117 @@ void scalar_test(void) {
CHECK(secp256k1_scalar_eq(&r1, &r2));
}
- {
- /* Test square. */
- secp256k1_scalar r1, r2;
- secp256k1_scalar_sqr(&r1, &s1);
- secp256k1_scalar_mul(&r2, &s1, &s1);
- CHECK(secp256k1_scalar_eq(&r1, &r2));
- }
-
{
/* Test multiplicative identity. */
- secp256k1_scalar r1, v1;
- secp256k1_scalar_set_int(&v1,1);
- secp256k1_scalar_mul(&r1, &s1, &v1);
+ secp256k1_scalar r1;
+ secp256k1_scalar_mul(&r1, &s1, &secp256k1_scalar_one);
CHECK(secp256k1_scalar_eq(&r1, &s1));
}
{
/* Test additive identity. */
- secp256k1_scalar r1, v0;
- secp256k1_scalar_set_int(&v0,0);
- secp256k1_scalar_add(&r1, &s1, &v0);
+ secp256k1_scalar r1;
+ secp256k1_scalar_add(&r1, &s1, &secp256k1_scalar_zero);
CHECK(secp256k1_scalar_eq(&r1, &s1));
}
{
/* Test zero product property. */
- secp256k1_scalar r1, v0;
- secp256k1_scalar_set_int(&v0,0);
- secp256k1_scalar_mul(&r1, &s1, &v0);
- CHECK(secp256k1_scalar_eq(&r1, &v0));
+ secp256k1_scalar r1;
+ secp256k1_scalar_mul(&r1, &s1, &secp256k1_scalar_zero);
+ CHECK(secp256k1_scalar_eq(&r1, &secp256k1_scalar_zero));
+ }
+
+ {
+ /* Test halving. */
+ secp256k1_scalar r;
+ secp256k1_scalar_add(&r, &s, &s);
+ secp256k1_scalar_half(&r, &r);
+ CHECK(secp256k1_scalar_eq(&r, &s));
}
+}
+static void run_scalar_set_b32_seckey_tests(void) {
+ unsigned char b32[32];
+ secp256k1_scalar s1;
+ secp256k1_scalar s2;
+
+ /* Usually set_b32 and set_b32_seckey give the same result */
+ testutil_random_scalar_order_b32(b32);
+ secp256k1_scalar_set_b32(&s1, b32, NULL);
+ CHECK(secp256k1_scalar_set_b32_seckey(&s2, b32) == 1);
+ CHECK(secp256k1_scalar_eq(&s1, &s2) == 1);
+
+ memset(b32, 0, sizeof(b32));
+ CHECK(secp256k1_scalar_set_b32_seckey(&s2, b32) == 0);
+ memset(b32, 0xFF, sizeof(b32));
+ CHECK(secp256k1_scalar_set_b32_seckey(&s2, b32) == 0);
}
-void run_scalar_tests(void) {
+static void run_scalar_tests(void) {
int i;
- for (i = 0; i < 128 * count; i++) {
+ for (i = 0; i < 128 * COUNT; i++) {
scalar_test();
}
+ for (i = 0; i < COUNT; i++) {
+ run_scalar_set_b32_seckey_tests();
+ }
+
+ {
+ /* Check that the scalar constants secp256k1_scalar_zero and
+ secp256k1_scalar_one contain the expected values. */
+ secp256k1_scalar zero, one;
+
+ CHECK(secp256k1_scalar_is_zero(&secp256k1_scalar_zero));
+ secp256k1_scalar_set_int(&zero, 0);
+ CHECK(secp256k1_scalar_eq(&zero, &secp256k1_scalar_zero));
+
+ CHECK(secp256k1_scalar_is_one(&secp256k1_scalar_one));
+ secp256k1_scalar_set_int(&one, 1);
+ CHECK(secp256k1_scalar_eq(&one, &secp256k1_scalar_one));
+ }
{
/* (-1)+1 should be zero. */
- secp256k1_scalar s, o;
- secp256k1_scalar_set_int(&s, 1);
- CHECK(secp256k1_scalar_is_one(&s));
- secp256k1_scalar_negate(&o, &s);
- secp256k1_scalar_add(&o, &o, &s);
+ secp256k1_scalar o;
+ secp256k1_scalar_negate(&o, &secp256k1_scalar_one);
+ secp256k1_scalar_add(&o, &o, &secp256k1_scalar_one);
CHECK(secp256k1_scalar_is_zero(&o));
secp256k1_scalar_negate(&o, &o);
CHECK(secp256k1_scalar_is_zero(&o));
}
-#ifndef USE_NUM_NONE
{
- /* A scalar with value of the curve order should be 0. */
- secp256k1_num order;
- secp256k1_scalar zero;
- unsigned char bin[32];
- int overflow = 0;
- secp256k1_scalar_order_get_num(&order);
- secp256k1_num_get_bin(bin, 32, &order);
- secp256k1_scalar_set_b32(&zero, bin, &overflow);
- CHECK(overflow == 1);
- CHECK(secp256k1_scalar_is_zero(&zero));
+ /* Test that halving and doubling roundtrips on some fixed values. */
+ static const secp256k1_scalar HALF_TESTS[] = {
+ /* 0 */
+ SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0),
+ /* 1 */
+ SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1),
+ /* -1 */
+ SECP256K1_SCALAR_CONST(0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffeul, 0xbaaedce6ul, 0xaf48a03bul, 0xbfd25e8cul, 0xd0364140ul),
+ /* -2 (largest odd value) */
+ SECP256K1_SCALAR_CONST(0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffeul, 0xbaaedce6ul, 0xaf48a03bul, 0xbfd25e8cul, 0xd036413Ful),
+ /* Half the secp256k1 order */
+ SECP256K1_SCALAR_CONST(0x7ffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0x5d576e73ul, 0x57a4501dul, 0xdfe92f46ul, 0x681b20a0ul),
+ /* Half the secp256k1 order + 1 */
+ SECP256K1_SCALAR_CONST(0x7ffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0x5d576e73ul, 0x57a4501dul, 0xdfe92f46ul, 0x681b20a1ul),
+ /* 2^255 */
+ SECP256K1_SCALAR_CONST(0x80000000ul, 0, 0, 0, 0, 0, 0, 0),
+ /* 2^255 - 1 */
+ SECP256K1_SCALAR_CONST(0x7ffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful, 0xfffffffful),
+ };
+ unsigned n;
+ for (n = 0; n < sizeof(HALF_TESTS) / sizeof(HALF_TESTS[0]); ++n) {
+ secp256k1_scalar s;
+ secp256k1_scalar_half(&s, &HALF_TESTS[n]);
+ secp256k1_scalar_add(&s, &s, &s);
+ CHECK(secp256k1_scalar_eq(&s, &HALF_TESTS[n]));
+ secp256k1_scalar_add(&s, &s, &s);
+ secp256k1_scalar_half(&s, &s);
+ CHECK(secp256k1_scalar_eq(&s, &HALF_TESTS[n]));
+ }
}
-#endif
{
/* Does check_overflow check catch all ones? */
@@ -960,12 +2266,9 @@ void run_scalar_tests(void) {
secp256k1_scalar y;
secp256k1_scalar z;
secp256k1_scalar zz;
- secp256k1_scalar one;
secp256k1_scalar r1;
secp256k1_scalar r2;
-#if defined(USE_SCALAR_INV_NUM)
secp256k1_scalar zzv;
-#endif
int overflow;
unsigned char chal[33][2][32] = {
{{0xff, 0xff, 0x03, 0x07, 0x00, 0x00, 0x00, 0x00,
@@ -1499,7 +2802,6 @@ void run_scalar_tests(void) {
0x1e, 0x86, 0x5d, 0x89, 0x63, 0xe6, 0x0a, 0x46,
0x5c, 0x02, 0x97, 0x1b, 0x62, 0x43, 0x86, 0xf5}}
};
- secp256k1_scalar_set_int(&one, 1);
for (i = 0; i < 33; i++) {
secp256k1_scalar_set_b32(&x, chal[i][0], &overflow);
CHECK(!overflow);
@@ -1510,91 +2812,40 @@ void run_scalar_tests(void) {
secp256k1_scalar_set_b32(&r2, res[i][1], &overflow);
CHECK(!overflow);
secp256k1_scalar_mul(&z, &x, &y);
- CHECK(!secp256k1_scalar_check_overflow(&z));
CHECK(secp256k1_scalar_eq(&r1, &z));
if (!secp256k1_scalar_is_zero(&y)) {
secp256k1_scalar_inverse(&zz, &y);
- CHECK(!secp256k1_scalar_check_overflow(&zz));
-#if defined(USE_SCALAR_INV_NUM)
secp256k1_scalar_inverse_var(&zzv, &y);
CHECK(secp256k1_scalar_eq(&zzv, &zz));
-#endif
secp256k1_scalar_mul(&z, &z, &zz);
- CHECK(!secp256k1_scalar_check_overflow(&z));
CHECK(secp256k1_scalar_eq(&x, &z));
secp256k1_scalar_mul(&zz, &zz, &y);
- CHECK(!secp256k1_scalar_check_overflow(&zz));
- CHECK(secp256k1_scalar_eq(&one, &zz));
+ CHECK(secp256k1_scalar_eq(&secp256k1_scalar_one, &zz));
}
secp256k1_scalar_mul(&z, &x, &x);
- CHECK(!secp256k1_scalar_check_overflow(&z));
- secp256k1_scalar_sqr(&zz, &x);
- CHECK(!secp256k1_scalar_check_overflow(&zz));
- CHECK(secp256k1_scalar_eq(&zz, &z));
- CHECK(secp256k1_scalar_eq(&r2, &zz));
+ CHECK(secp256k1_scalar_eq(&r2, &z));
}
}
}
/***** FIELD TESTS *****/
-void random_fe(secp256k1_fe *x) {
- unsigned char bin[32];
- do {
- secp256k1_rand256(bin);
- if (secp256k1_fe_set_b32(x, bin)) {
- return;
- }
- } while(1);
-}
-
-void random_fe_test(secp256k1_fe *x) {
- unsigned char bin[32];
- do {
- secp256k1_rand256_test(bin);
- if (secp256k1_fe_set_b32(x, bin)) {
- return;
- }
- } while(1);
-}
-
-void random_fe_non_zero(secp256k1_fe *nz) {
- int tries = 10;
- while (--tries >= 0) {
- random_fe(nz);
- secp256k1_fe_normalize(nz);
- if (!secp256k1_fe_is_zero(nz)) {
- break;
- }
- }
- /* Infinitesimal probability of spurious failure here */
- CHECK(tries >= 0);
-}
-
-void random_fe_non_square(secp256k1_fe *ns) {
+static void random_fe_non_square(secp256k1_fe *ns) {
secp256k1_fe r;
- random_fe_non_zero(ns);
+ testutil_random_fe_non_zero(ns);
if (secp256k1_fe_sqrt(&r, ns)) {
secp256k1_fe_negate(ns, ns, 1);
}
}
-int check_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) {
+static int fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) {
secp256k1_fe an = *a;
secp256k1_fe bn = *b;
secp256k1_fe_normalize_weak(&an);
- secp256k1_fe_normalize_var(&bn);
- return secp256k1_fe_equal_var(&an, &bn);
-}
-
-int check_fe_inverse(const secp256k1_fe *a, const secp256k1_fe *ai) {
- secp256k1_fe x;
- secp256k1_fe one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
- secp256k1_fe_mul(&x, a, ai);
- return check_fe_equal(&x, &one);
+ return secp256k1_fe_equal(&an, &bn);
}
-void run_field_convert(void) {
+static void run_field_convert(void) {
static const unsigned char b32[32] = {
0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18,
@@ -1613,63 +2864,204 @@ void run_field_convert(void) {
unsigned char b322[32];
secp256k1_fe_storage fes2;
/* Check conversions to fe. */
- CHECK(secp256k1_fe_set_b32(&fe2, b32));
- CHECK(secp256k1_fe_equal_var(&fe, &fe2));
+ CHECK(secp256k1_fe_set_b32_limit(&fe2, b32));
+ CHECK(secp256k1_fe_equal(&fe, &fe2));
secp256k1_fe_from_storage(&fe2, &fes);
- CHECK(secp256k1_fe_equal_var(&fe, &fe2));
+ CHECK(secp256k1_fe_equal(&fe, &fe2));
/* Check conversion from fe. */
secp256k1_fe_get_b32(b322, &fe);
- CHECK(memcmp(b322, b32, 32) == 0);
+ CHECK(secp256k1_memcmp_var(b322, b32, 32) == 0);
secp256k1_fe_to_storage(&fes2, &fe);
- CHECK(memcmp(&fes2, &fes, sizeof(fes)) == 0);
+ CHECK(secp256k1_memcmp_var(&fes2, &fes, sizeof(fes)) == 0);
}
-int fe_memcmp(const secp256k1_fe *a, const secp256k1_fe *b) {
- secp256k1_fe t = *b;
+static void run_field_be32_overflow(void) {
+ {
+ static const unsigned char zero_overflow[32] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F,
+ };
+ static const unsigned char zero[32] = { 0x00 };
+ unsigned char out[32];
+ secp256k1_fe fe;
+ CHECK(secp256k1_fe_set_b32_limit(&fe, zero_overflow) == 0);
+ secp256k1_fe_set_b32_mod(&fe, zero_overflow);
+ CHECK(secp256k1_fe_normalizes_to_zero(&fe) == 1);
+ secp256k1_fe_normalize(&fe);
+ CHECK(secp256k1_fe_is_zero(&fe) == 1);
+ secp256k1_fe_get_b32(out, &fe);
+ CHECK(secp256k1_memcmp_var(out, zero, 32) == 0);
+ }
+ {
+ static const unsigned char one_overflow[32] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x30,
+ };
+ static const unsigned char one[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
+ };
+ unsigned char out[32];
+ secp256k1_fe fe;
+ CHECK(secp256k1_fe_set_b32_limit(&fe, one_overflow) == 0);
+ secp256k1_fe_set_b32_mod(&fe, one_overflow);
+ secp256k1_fe_normalize(&fe);
+ CHECK(secp256k1_fe_cmp_var(&fe, &secp256k1_fe_one) == 0);
+ secp256k1_fe_get_b32(out, &fe);
+ CHECK(secp256k1_memcmp_var(out, one, 32) == 0);
+ }
+ {
+ static const unsigned char ff_overflow[32] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
+ };
+ static const unsigned char ff[32] = {
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x03, 0xD0,
+ };
+ unsigned char out[32];
+ secp256k1_fe fe;
+ const secp256k1_fe fe_ff = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0x01, 0x000003d0);
+ CHECK(secp256k1_fe_set_b32_limit(&fe, ff_overflow) == 0);
+ secp256k1_fe_set_b32_mod(&fe, ff_overflow);
+ secp256k1_fe_normalize(&fe);
+ CHECK(secp256k1_fe_cmp_var(&fe, &fe_ff) == 0);
+ secp256k1_fe_get_b32(out, &fe);
+ CHECK(secp256k1_memcmp_var(out, ff, 32) == 0);
+ }
+}
+
+/* Returns true if two field elements have the same representation. */
+static int fe_identical(const secp256k1_fe *a, const secp256k1_fe *b) {
+ int ret = 1;
+ /* Compare the struct member that holds the limbs. */
+ ret &= (secp256k1_memcmp_var(a->n, b->n, sizeof(a->n)) == 0);
+ return ret;
+}
+
+static void run_field_half(void) {
+ secp256k1_fe t, u;
+ int m;
+
+ /* Check magnitude 0 input */
+ secp256k1_fe_get_bounds(&t, 0);
+ secp256k1_fe_half(&t);
+#ifdef VERIFY
+ CHECK(t.magnitude == 1);
+ CHECK(t.normalized == 0);
+#endif
+ CHECK(secp256k1_fe_normalizes_to_zero(&t));
+
+ /* Check non-zero magnitudes in the supported range */
+ for (m = 1; m < 32; m++) {
+ /* Check max-value input */
+ secp256k1_fe_get_bounds(&t, m);
+
+ u = t;
+ secp256k1_fe_half(&u);
#ifdef VERIFY
- t.magnitude = a->magnitude;
- t.normalized = a->normalized;
+ CHECK(u.magnitude == (m >> 1) + 1);
+ CHECK(u.normalized == 0);
#endif
- return memcmp(a, &t, sizeof(secp256k1_fe));
+ secp256k1_fe_normalize_weak(&u);
+ secp256k1_fe_add(&u, &u);
+ CHECK(fe_equal(&t, &u));
+
+ /* Check worst-case input: ensure the LSB is 1 so that P will be added,
+ * which will also cause all carries to be 1, since all limbs that can
+ * generate a carry are initially even and all limbs of P are odd in
+ * every existing field implementation. */
+ secp256k1_fe_get_bounds(&t, m);
+ CHECK(t.n[0] > 0);
+ CHECK((t.n[0] & 1) == 0);
+ --t.n[0];
+
+ u = t;
+ secp256k1_fe_half(&u);
+#ifdef VERIFY
+ CHECK(u.magnitude == (m >> 1) + 1);
+ CHECK(u.normalized == 0);
+#endif
+ secp256k1_fe_normalize_weak(&u);
+ secp256k1_fe_add(&u, &u);
+ CHECK(fe_equal(&t, &u));
+ }
}
-void run_field_misc(void) {
+static void run_field_misc(void) {
secp256k1_fe x;
secp256k1_fe y;
secp256k1_fe z;
secp256k1_fe q;
+ int v;
secp256k1_fe fe5 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 5);
int i, j;
- for (i = 0; i < 5*count; i++) {
+ for (i = 0; i < 1000 * COUNT; i++) {
secp256k1_fe_storage xs, ys, zs;
- random_fe(&x);
- random_fe_non_zero(&y);
+ if (i & 1) {
+ testutil_random_fe(&x);
+ } else {
+ testutil_random_fe_test(&x);
+ }
+ testutil_random_fe_non_zero(&y);
+ v = testrand_bits(15);
+ /* Test that fe_add_int is equivalent to fe_set_int + fe_add. */
+ secp256k1_fe_set_int(&q, v); /* q = v */
+ z = x; /* z = x */
+ secp256k1_fe_add(&z, &q); /* z = x+v */
+ q = x; /* q = x */
+ secp256k1_fe_add_int(&q, v); /* q = x+v */
+ CHECK(fe_equal(&q, &z));
/* Test the fe equality and comparison operations. */
CHECK(secp256k1_fe_cmp_var(&x, &x) == 0);
- CHECK(secp256k1_fe_equal_var(&x, &x));
+ CHECK(secp256k1_fe_equal(&x, &x));
z = x;
secp256k1_fe_add(&z,&y);
/* Test fe conditional move; z is not normalized here. */
q = x;
secp256k1_fe_cmov(&x, &z, 0);
- VERIFY_CHECK(!x.normalized && x.magnitude == z.magnitude);
+#ifdef VERIFY
+ CHECK(!x.normalized);
+ CHECK((x.magnitude == q.magnitude) || (x.magnitude == z.magnitude));
+ CHECK((x.magnitude >= q.magnitude) && (x.magnitude >= z.magnitude));
+#endif
+ x = q;
secp256k1_fe_cmov(&x, &x, 1);
- CHECK(fe_memcmp(&x, &z) != 0);
- CHECK(fe_memcmp(&x, &q) == 0);
+ CHECK(!fe_identical(&x, &z));
+ CHECK(fe_identical(&x, &q));
secp256k1_fe_cmov(&q, &z, 1);
- VERIFY_CHECK(!q.normalized && q.magnitude == z.magnitude);
- CHECK(fe_memcmp(&q, &z) == 0);
+#ifdef VERIFY
+ CHECK(!q.normalized);
+ CHECK((q.magnitude == x.magnitude) || (q.magnitude == z.magnitude));
+ CHECK((q.magnitude >= x.magnitude) && (q.magnitude >= z.magnitude));
+#endif
+ CHECK(fe_identical(&q, &z));
+ q = z;
secp256k1_fe_normalize_var(&x);
secp256k1_fe_normalize_var(&z);
- CHECK(!secp256k1_fe_equal_var(&x, &z));
+ CHECK(!secp256k1_fe_equal(&x, &z));
secp256k1_fe_normalize_var(&q);
secp256k1_fe_cmov(&q, &z, (i&1));
- VERIFY_CHECK(q.normalized && q.magnitude == 1);
+#ifdef VERIFY
+ CHECK(q.normalized && q.magnitude == 1);
+#endif
for (j = 0; j < 6; j++) {
- secp256k1_fe_negate(&z, &z, j+1);
+ secp256k1_fe_negate_unchecked(&z, &z, j+1);
secp256k1_fe_normalize_var(&q);
secp256k1_fe_cmov(&q, &z, (j&1));
- VERIFY_CHECK(!q.normalized && q.magnitude == (j+2));
+#ifdef VERIFY
+ CHECK(!q.normalized && q.magnitude == z.magnitude);
+#endif
}
secp256k1_fe_normalize_var(&z);
/* Test storage conversion and conditional moves. */
@@ -1678,9 +3070,9 @@ void run_field_misc(void) {
secp256k1_fe_to_storage(&zs, &z);
secp256k1_fe_storage_cmov(&zs, &xs, 0);
secp256k1_fe_storage_cmov(&zs, &zs, 1);
- CHECK(memcmp(&xs, &zs, sizeof(xs)) != 0);
+ CHECK(secp256k1_memcmp_var(&xs, &zs, sizeof(xs)) != 0);
secp256k1_fe_storage_cmov(&ys, &xs, 1);
- CHECK(memcmp(&xs, &ys, sizeof(xs)) == 0);
+ CHECK(secp256k1_memcmp_var(&xs, &ys, sizeof(xs)) == 0);
secp256k1_fe_from_storage(&x, &xs);
secp256k1_fe_from_storage(&y, &ys);
secp256k1_fe_from_storage(&z, &zs);
@@ -1689,85 +3081,124 @@ void run_field_misc(void) {
secp256k1_fe_add(&y, &x);
z = x;
secp256k1_fe_mul_int(&z, 3);
- CHECK(check_fe_equal(&y, &z));
+ CHECK(fe_equal(&y, &z));
secp256k1_fe_add(&y, &x);
secp256k1_fe_add(&z, &x);
- CHECK(check_fe_equal(&z, &y));
+ CHECK(fe_equal(&z, &y));
z = x;
secp256k1_fe_mul_int(&z, 5);
secp256k1_fe_mul(&q, &x, &fe5);
- CHECK(check_fe_equal(&z, &q));
+ CHECK(fe_equal(&z, &q));
secp256k1_fe_negate(&x, &x, 1);
secp256k1_fe_add(&z, &x);
secp256k1_fe_add(&q, &x);
- CHECK(check_fe_equal(&y, &z));
- CHECK(check_fe_equal(&q, &y));
+ CHECK(fe_equal(&y, &z));
+ CHECK(fe_equal(&q, &y));
+ /* Check secp256k1_fe_half. */
+ z = x;
+ secp256k1_fe_half(&z);
+ secp256k1_fe_add(&z, &z);
+ CHECK(fe_equal(&x, &z));
+ secp256k1_fe_add(&z, &z);
+ secp256k1_fe_half(&z);
+ CHECK(fe_equal(&x, &z));
}
}
-void run_field_inv(void) {
- secp256k1_fe x, xi, xii;
+static void test_fe_mul(const secp256k1_fe* a, const secp256k1_fe* b, int use_sqr)
+{
+ secp256k1_fe c, an, bn;
+ /* Variables in BE 32-byte format. */
+ unsigned char a32[32], b32[32], c32[32];
+ /* Variables in LE 16x uint16_t format. */
+ uint16_t a16[16], b16[16], c16[16];
+ /* Field modulus in LE 16x uint16_t format. */
+ static const uint16_t m16[16] = {
+ 0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ };
+ uint16_t t16[32];
int i;
- for (i = 0; i < 10*count; i++) {
- random_fe_non_zero(&x);
- secp256k1_fe_inv(&xi, &x);
- CHECK(check_fe_inverse(&x, &xi));
- secp256k1_fe_inv(&xii, &xi);
- CHECK(check_fe_equal(&x, &xii));
+
+ /* Compute C = A * B in fe format. */
+ c = *a;
+ if (use_sqr) {
+ secp256k1_fe_sqr(&c, &c);
+ } else {
+ secp256k1_fe_mul(&c, &c, b);
}
+
+ /* Convert A, B, C into LE 16x uint16_t format. */
+ an = *a;
+ bn = *b;
+ secp256k1_fe_normalize_var(&c);
+ secp256k1_fe_normalize_var(&an);
+ secp256k1_fe_normalize_var(&bn);
+ secp256k1_fe_get_b32(a32, &an);
+ secp256k1_fe_get_b32(b32, &bn);
+ secp256k1_fe_get_b32(c32, &c);
+ for (i = 0; i < 16; ++i) {
+ a16[i] = a32[31 - 2*i] + ((uint16_t)a32[30 - 2*i] << 8);
+ b16[i] = b32[31 - 2*i] + ((uint16_t)b32[30 - 2*i] << 8);
+ c16[i] = c32[31 - 2*i] + ((uint16_t)c32[30 - 2*i] << 8);
+ }
+ /* Compute T = A * B in LE 16x uint16_t format. */
+ mulmod256(t16, a16, b16, m16);
+ /* Compare */
+ CHECK(secp256k1_memcmp_var(t16, c16, 32) == 0);
}
-void run_field_inv_var(void) {
- secp256k1_fe x, xi, xii;
+static void run_fe_mul(void) {
int i;
- for (i = 0; i < 10*count; i++) {
- random_fe_non_zero(&x);
- secp256k1_fe_inv_var(&xi, &x);
- CHECK(check_fe_inverse(&x, &xi));
- secp256k1_fe_inv_var(&xii, &xi);
- CHECK(check_fe_equal(&x, &xii));
+ for (i = 0; i < 100 * COUNT; ++i) {
+ secp256k1_fe a, b, c, d;
+ testutil_random_fe(&a);
+ testutil_random_fe_magnitude(&a, 8);
+ testutil_random_fe(&b);
+ testutil_random_fe_magnitude(&b, 8);
+ testutil_random_fe_test(&c);
+ testutil_random_fe_magnitude(&c, 8);
+ testutil_random_fe_test(&d);
+ testutil_random_fe_magnitude(&d, 8);
+ test_fe_mul(&a, &a, 1);
+ test_fe_mul(&c, &c, 1);
+ test_fe_mul(&a, &b, 0);
+ test_fe_mul(&a, &c, 0);
+ test_fe_mul(&c, &b, 0);
+ test_fe_mul(&c, &d, 0);
}
}
-void run_field_inv_all_var(void) {
- secp256k1_fe x[16], xi[16], xii[16];
+static void run_sqr(void) {
int i;
- /* Check it's safe to call for 0 elements */
- secp256k1_fe_inv_all_var(xi, x, 0);
- for (i = 0; i < count; i++) {
- size_t j;
- size_t len = secp256k1_rand_int(15) + 1;
- for (j = 0; j < len; j++) {
- random_fe_non_zero(&x[j]);
- }
- secp256k1_fe_inv_all_var(xi, x, len);
- for (j = 0; j < len; j++) {
- CHECK(check_fe_inverse(&x[j], &xi[j]));
- }
- secp256k1_fe_inv_all_var(xii, xi, len);
- for (j = 0; j < len; j++) {
- CHECK(check_fe_equal(&x[j], &xii[j]));
- }
- }
-}
+ secp256k1_fe x, y, lhs, rhs, tmp;
-void run_sqr(void) {
- secp256k1_fe x, s;
+ secp256k1_fe_set_int(&x, 1);
+ secp256k1_fe_negate(&x, &x, 1);
- {
- int i;
- secp256k1_fe_set_int(&x, 1);
- secp256k1_fe_negate(&x, &x, 1);
+ for (i = 1; i <= 512; ++i) {
+ secp256k1_fe_mul_int(&x, 2);
+ secp256k1_fe_normalize(&x);
- for (i = 1; i <= 512; ++i) {
- secp256k1_fe_mul_int(&x, 2);
- secp256k1_fe_normalize(&x);
- secp256k1_fe_sqr(&s, &x);
- }
+ /* Check that (x+y)*(x-y) = x^2 - y*2 for some random values y */
+ testutil_random_fe_test(&y);
+
+ lhs = x;
+ secp256k1_fe_add(&lhs, &y); /* lhs = x+y */
+ secp256k1_fe_negate(&tmp, &y, 1); /* tmp = -y */
+ secp256k1_fe_add(&tmp, &x); /* tmp = x-y */
+ secp256k1_fe_mul(&lhs, &lhs, &tmp); /* lhs = (x+y)*(x-y) */
+
+ secp256k1_fe_sqr(&rhs, &x); /* rhs = x^2 */
+ secp256k1_fe_sqr(&tmp, &y); /* tmp = y^2 */
+ secp256k1_fe_negate(&tmp, &tmp, 1); /* tmp = -y^2 */
+ secp256k1_fe_add(&rhs, &tmp); /* rhs = x^2 - y^2 */
+
+ CHECK(fe_equal(&lhs, &rhs));
}
}
-void test_sqrt(const secp256k1_fe *a, const secp256k1_fe *k) {
+static void test_sqrt(const secp256k1_fe *a, const secp256k1_fe *k) {
secp256k1_fe r1, r2;
int v = secp256k1_fe_sqrt(&r1, a);
CHECK((v == 0) == (k == NULL));
@@ -1781,7 +3212,7 @@ void test_sqrt(const secp256k1_fe *a, const secp256k1_fe *k) {
}
}
-void run_sqrt(void) {
+static void run_sqrt(void) {
secp256k1_fe ns, x, s, t;
int i;
@@ -1803,11 +3234,13 @@ void run_sqrt(void) {
for (i = 0; i < 10; i++) {
int j;
random_fe_non_square(&ns);
- for (j = 0; j < count; j++) {
- random_fe(&x);
+ for (j = 0; j < COUNT; j++) {
+ testutil_random_fe(&x);
secp256k1_fe_sqr(&s, &x);
+ CHECK(secp256k1_fe_is_square_var(&s));
test_sqrt(&s, &x);
secp256k1_fe_negate(&t, &s, 1);
+ CHECK(!secp256k1_fe_is_square_var(&t));
test_sqrt(&t, NULL);
secp256k1_fe_mul(&t, &s, &ns);
test_sqrt(&t, NULL);
@@ -1815,19 +3248,394 @@ void run_sqrt(void) {
}
}
-/***** GROUP TESTS *****/
+/***** FIELD/SCALAR INVERSE TESTS *****/
+
+static const secp256k1_scalar scalar_minus_one = SECP256K1_SCALAR_CONST(
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE,
+ 0xBAAEDCE6, 0xAF48A03B, 0xBFD25E8C, 0xD0364140
+);
+
+static const secp256k1_fe fe_minus_one = SECP256K1_FE_CONST(
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFC2E
+);
+
+/* These tests test the following identities:
+ *
+ * for x==0: 1/x == 0
+ * for x!=0: x*(1/x) == 1
+ * for x!=0 and x!=1: 1/(1/x - 1) + 1 == -1/(x-1)
+ */
+
+static void test_inverse_scalar(secp256k1_scalar* out, const secp256k1_scalar* x, int var)
+{
+ secp256k1_scalar l, r, t;
+
+ (var ? secp256k1_scalar_inverse_var : secp256k1_scalar_inverse)(&l, x); /* l = 1/x */
+ if (out) *out = l;
+ if (secp256k1_scalar_is_zero(x)) {
+ CHECK(secp256k1_scalar_is_zero(&l));
+ return;
+ }
+ secp256k1_scalar_mul(&t, x, &l); /* t = x*(1/x) */
+ CHECK(secp256k1_scalar_is_one(&t)); /* x*(1/x) == 1 */
+ secp256k1_scalar_add(&r, x, &scalar_minus_one); /* r = x-1 */
+ if (secp256k1_scalar_is_zero(&r)) return;
+ (var ? secp256k1_scalar_inverse_var : secp256k1_scalar_inverse)(&r, &r); /* r = 1/(x-1) */
+ secp256k1_scalar_add(&l, &scalar_minus_one, &l); /* l = 1/x-1 */
+ (var ? secp256k1_scalar_inverse_var : secp256k1_scalar_inverse)(&l, &l); /* l = 1/(1/x-1) */
+ secp256k1_scalar_add(&l, &l, &secp256k1_scalar_one); /* l = 1/(1/x-1)+1 */
+ secp256k1_scalar_add(&l, &r, &l); /* l = 1/(1/x-1)+1 + 1/(x-1) */
+ CHECK(secp256k1_scalar_is_zero(&l)); /* l == 0 */
+}
+
+static void test_inverse_field(secp256k1_fe* out, const secp256k1_fe* x, int var)
+{
+ secp256k1_fe l, r, t;
-void ge_equals_ge(const secp256k1_ge *a, const secp256k1_ge *b) {
- CHECK(a->infinity == b->infinity);
- if (a->infinity) {
+ (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&l, x) ; /* l = 1/x */
+ if (out) *out = l;
+ t = *x; /* t = x */
+ if (secp256k1_fe_normalizes_to_zero_var(&t)) {
+ CHECK(secp256k1_fe_normalizes_to_zero(&l));
return;
}
- CHECK(secp256k1_fe_equal_var(&a->x, &b->x));
- CHECK(secp256k1_fe_equal_var(&a->y, &b->y));
+ secp256k1_fe_mul(&t, x, &l); /* t = x*(1/x) */
+ secp256k1_fe_add(&t, &fe_minus_one); /* t = x*(1/x)-1 */
+ CHECK(secp256k1_fe_normalizes_to_zero(&t)); /* x*(1/x)-1 == 0 */
+ r = *x; /* r = x */
+ secp256k1_fe_add(&r, &fe_minus_one); /* r = x-1 */
+ if (secp256k1_fe_normalizes_to_zero_var(&r)) return;
+ (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&r, &r); /* r = 1/(x-1) */
+ secp256k1_fe_add(&l, &fe_minus_one); /* l = 1/x-1 */
+ (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&l, &l); /* l = 1/(1/x-1) */
+ secp256k1_fe_add_int(&l, 1); /* l = 1/(1/x-1)+1 */
+ secp256k1_fe_add(&l, &r); /* l = 1/(1/x-1)+1 + 1/(x-1) */
+ CHECK(secp256k1_fe_normalizes_to_zero_var(&l)); /* l == 0 */
+}
+
+static void run_inverse_tests(void)
+{
+ /* Fixed test cases for field inverses: pairs of (x, 1/x) mod p. */
+ static const secp256k1_fe fe_cases[][2] = {
+ /* 0 */
+ {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0),
+ SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)},
+ /* 1 */
+ {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1),
+ SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1)},
+ /* -1 */
+ {SECP256K1_FE_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xfffffc2e),
+ SECP256K1_FE_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xfffffc2e)},
+ /* 2 */
+ {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 2),
+ SECP256K1_FE_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x7ffffe18)},
+ /* 2**128 */
+ {SECP256K1_FE_CONST(0, 0, 0, 1, 0, 0, 0, 0),
+ SECP256K1_FE_CONST(0xbcb223fe, 0xdc24a059, 0xd838091d, 0xd2253530, 0xffffffff, 0xffffffff, 0xffffffff, 0x434dd931)},
+ /* Input known to need 637 divsteps */
+ {SECP256K1_FE_CONST(0xe34e9c95, 0x6bee8a84, 0x0dcb632a, 0xdb8a1320, 0x66885408, 0x06f3f996, 0x7c11ca84, 0x19199ec3),
+ SECP256K1_FE_CONST(0xbd2cbd8f, 0x1c536828, 0x9bccda44, 0x2582ac0c, 0x870152b0, 0x8a3f09fb, 0x1aaadf92, 0x19b618e5)},
+ /* Input known to need 567 divsteps starting with delta=1/2. */
+ {SECP256K1_FE_CONST(0xf6bc3ba3, 0x636451c4, 0x3e46357d, 0x2c21d619, 0x0988e234, 0x15985661, 0x6672982b, 0xa7549bfc),
+ SECP256K1_FE_CONST(0xb024fdc7, 0x5547451e, 0x426c585f, 0xbd481425, 0x73df6b75, 0xeef6d9d0, 0x389d87d4, 0xfbb440ba)},
+ /* Input known to need 566 divsteps starting with delta=1/2. */
+ {SECP256K1_FE_CONST(0xb595d81b, 0x2e3c1e2f, 0x482dbc65, 0xe4865af7, 0x9a0a50aa, 0x29f9e618, 0x6f87d7a5, 0x8d1063ae),
+ SECP256K1_FE_CONST(0xc983337c, 0x5d5c74e1, 0x49918330, 0x0b53afb5, 0xa0428a0b, 0xce6eef86, 0x059bd8ef, 0xe5b908de)},
+ /* Set of 10 inputs accessing all 128 entries in the modinv32 divsteps_var table */
+ {SECP256K1_FE_CONST(0x00000000, 0x00000000, 0xe0ff1f80, 0x1f000000, 0x00000000, 0x00000000, 0xfeff0100, 0x00000000),
+ SECP256K1_FE_CONST(0x9faf9316, 0x77e5049d, 0x0b5e7a1b, 0xef70b893, 0x18c9e30c, 0x045e7fd7, 0x29eddf8c, 0xd62e9e3d)},
+ {SECP256K1_FE_CONST(0x621a538d, 0x511b2780, 0x35688252, 0x53f889a4, 0x6317c3ac, 0x32ba0a46, 0x6277c0d1, 0xccd31192),
+ SECP256K1_FE_CONST(0x38513b0c, 0x5eba856f, 0xe29e882e, 0x9b394d8c, 0x34bda011, 0xeaa66943, 0x6a841a4c, 0x6ae8bcff)},
+ {SECP256K1_FE_CONST(0x00000200, 0xf0ffff1f, 0x00000000, 0x0000e0ff, 0xffffffff, 0xfffcffff, 0xffffffff, 0xffff0100),
+ SECP256K1_FE_CONST(0x5da42a52, 0x3640de9e, 0x13e64343, 0x0c7591b7, 0x6c1e3519, 0xf048c5b6, 0x0484217c, 0xedbf8b2f)},
+ {SECP256K1_FE_CONST(0xd1343ef9, 0x4b952621, 0x7c52a2ee, 0x4ea1281b, 0x4ab46410, 0x9f26998d, 0xa686a8ff, 0x9f2103e8),
+ SECP256K1_FE_CONST(0x84044385, 0x9a4619bf, 0x74e35b6d, 0xa47e0c46, 0x6b7fb47d, 0x9ffab128, 0xb0775aa3, 0xcb318bd1)},
+ {SECP256K1_FE_CONST(0xb27235d2, 0xc56a52be, 0x210db37a, 0xd50d23a4, 0xbe621bdd, 0x5df22c6a, 0xe926ba62, 0xd2e4e440),
+ SECP256K1_FE_CONST(0x67a26e54, 0x483a9d3c, 0xa568469e, 0xd258ab3d, 0xb9ec9981, 0xdca9b1bd, 0x8d2775fe, 0x53ae429b)},
+ {SECP256K1_FE_CONST(0x00000000, 0x00000000, 0x00e0ffff, 0xffffff83, 0xffffffff, 0x3f00f00f, 0x000000e0, 0xffffffff),
+ SECP256K1_FE_CONST(0x310e10f8, 0x23bbfab0, 0xac94907d, 0x076c9a45, 0x8d357d7f, 0xc763bcee, 0x00d0e615, 0x5a6acef6)},
+ {SECP256K1_FE_CONST(0xfeff0300, 0x001c0000, 0xf80700c0, 0x0ff0ffff, 0xffffffff, 0x0fffffff, 0xffff0100, 0x7f0000fe),
+ SECP256K1_FE_CONST(0x28e2fdb4, 0x0709168b, 0x86f598b0, 0x3453a370, 0x530cf21f, 0x32f978d5, 0x1d527a71, 0x59269b0c)},
+ {SECP256K1_FE_CONST(0xc2591afa, 0x7bb98ef7, 0x090bb273, 0x85c14f87, 0xbb0b28e0, 0x54d3c453, 0x85c66753, 0xd5574d2f),
+ SECP256K1_FE_CONST(0xfdca70a2, 0x70ce627c, 0x95e66fae, 0x848a6dbb, 0x07ffb15c, 0x5f63a058, 0xba4140ed, 0x6113b503)},
+ {SECP256K1_FE_CONST(0xf5475db3, 0xedc7b5a3, 0x411c047e, 0xeaeb452f, 0xc625828e, 0x1cf5ad27, 0x8eec1060, 0xc7d3e690),
+ SECP256K1_FE_CONST(0x5eb756c0, 0xf963f4b9, 0xdc6a215e, 0xec8cc2d8, 0x2e9dec01, 0xde5eb88d, 0x6aba7164, 0xaecb2c5a)},
+ {SECP256K1_FE_CONST(0x00000000, 0x00f8ffff, 0xffffffff, 0x01000000, 0xe0ff1f00, 0x00000000, 0xffffff7f, 0x00000000),
+ SECP256K1_FE_CONST(0xe0d2e3d8, 0x49b6157d, 0xe54e88c2, 0x1a7f02ca, 0x7dd28167, 0xf1125d81, 0x7bfa444e, 0xbe110037)},
+ /* Selection of randomly generated inputs that reach high/low d/e values in various configurations. */
+ {SECP256K1_FE_CONST(0x13cc08a4, 0xd8c41f0f, 0x179c3e67, 0x54c46c67, 0xc4109221, 0x09ab3b13, 0xe24d9be1, 0xffffe950),
+ SECP256K1_FE_CONST(0xb80c8006, 0xd16abaa7, 0xcabd71e5, 0xcf6714f4, 0x966dd3d0, 0x64767a2d, 0xe92c4441, 0x51008cd1)},
+ {SECP256K1_FE_CONST(0xaa6db990, 0x95efbca1, 0x3cc6ff71, 0x0602e24a, 0xf49ff938, 0x99fffc16, 0x46f40993, 0xc6e72057),
+ SECP256K1_FE_CONST(0xd5d3dd69, 0xb0c195e5, 0x285f1d49, 0xe639e48c, 0x9223f8a9, 0xca1d731d, 0x9ca482f9, 0xa5b93e06)},
+ {SECP256K1_FE_CONST(0x1c680eac, 0xaeabffd8, 0x9bdc4aee, 0x1781e3de, 0xa3b08108, 0x0015f2e0, 0x94449e1b, 0x2f67a058),
+ SECP256K1_FE_CONST(0x7f083f8d, 0x31254f29, 0x6510f475, 0x245c373d, 0xc5622590, 0x4b323393, 0x32ed1719, 0xc127444b)},
+ {SECP256K1_FE_CONST(0x147d44b3, 0x012d83f8, 0xc160d386, 0x1a44a870, 0x9ba6be96, 0x8b962707, 0x267cbc1a, 0xb65b2f0a),
+ SECP256K1_FE_CONST(0x555554ff, 0x170aef1e, 0x50a43002, 0xe51fbd36, 0xafadb458, 0x7a8aded1, 0x0ca6cd33, 0x6ed9087c)},
+ {SECP256K1_FE_CONST(0x12423796, 0x22f0fe61, 0xf9ca017c, 0x5384d107, 0xa1fbf3b2, 0x3b018013, 0x916a3c37, 0x4000b98c),
+ SECP256K1_FE_CONST(0x20257700, 0x08668f94, 0x1177e306, 0x136c01f5, 0x8ed1fbd2, 0x95ec4589, 0xae38edb9, 0xfd19b6d7)},
+ {SECP256K1_FE_CONST(0xdcf2d030, 0x9ab42cb4, 0x93ffa181, 0xdcd23619, 0x39699b52, 0x08909a20, 0xb5a17695, 0x3a9dcf21),
+ SECP256K1_FE_CONST(0x1f701dea, 0xe211fb1f, 0x4f37180d, 0x63a0f51c, 0x29fe1e40, 0xa40b6142, 0x2e7b12eb, 0x982b06b6)},
+ {SECP256K1_FE_CONST(0x79a851f6, 0xa6314ed3, 0xb35a55e6, 0xca1c7d7f, 0xe32369ea, 0xf902432e, 0x375308c5, 0xdfd5b600),
+ SECP256K1_FE_CONST(0xcaae00c5, 0xe6b43851, 0x9dabb737, 0x38cba42c, 0xa02c8549, 0x7895dcbf, 0xbd183d71, 0xafe4476a)},
+ {SECP256K1_FE_CONST(0xede78fdd, 0xcfc92bf1, 0x4fec6c6c, 0xdb8d37e2, 0xfb66bc7b, 0x28701870, 0x7fa27c9a, 0x307196ec),
+ SECP256K1_FE_CONST(0x68193a6c, 0x9a8b87a7, 0x2a760c64, 0x13e473f6, 0x23ae7bed, 0x1de05422, 0x88865427, 0xa3418265)},
+ {SECP256K1_FE_CONST(0xa40b2079, 0xb8f88e89, 0xa7617997, 0x89baf5ae, 0x174df343, 0x75138eae, 0x2711595d, 0x3fc3e66c),
+ SECP256K1_FE_CONST(0x9f99c6a5, 0x6d685267, 0xd4b87c37, 0x9d9c4576, 0x358c692b, 0x6bbae0ed, 0x3389c93d, 0x7fdd2655)},
+ {SECP256K1_FE_CONST(0x7c74c6b6, 0xe98d9151, 0x72645cf1, 0x7f06e321, 0xcefee074, 0x15b2113a, 0x10a9be07, 0x08a45696),
+ SECP256K1_FE_CONST(0x8c919a88, 0x898bc1e0, 0x77f26f97, 0x12e655b7, 0x9ba0ac40, 0xe15bb19e, 0x8364cc3b, 0xe227a8ee)},
+ {SECP256K1_FE_CONST(0x109ba1ce, 0xdafa6d4a, 0xa1cec2b2, 0xeb1069f4, 0xb7a79e5b, 0xec6eb99b, 0xaec5f643, 0xee0e723e),
+ SECP256K1_FE_CONST(0x93d13eb8, 0x4bb0bcf9, 0xe64f5a71, 0xdbe9f359, 0x7191401c, 0x6f057a4a, 0xa407fe1b, 0x7ecb65cc)},
+ {SECP256K1_FE_CONST(0x3db076cd, 0xec74a5c9, 0xf61dd138, 0x90e23e06, 0xeeedd2d0, 0x74cbc4e0, 0x3dbe1e91, 0xded36a78),
+ SECP256K1_FE_CONST(0x3f07f966, 0x8e2a1e09, 0x706c71df, 0x02b5e9d5, 0xcb92ddbf, 0xcdd53010, 0x16545564, 0xe660b107)},
+ {SECP256K1_FE_CONST(0xe31c73ed, 0xb4c4b82c, 0x02ae35f7, 0x4cdec153, 0x98b522fd, 0xf7d2460c, 0x6bf7c0f8, 0x4cf67b0d),
+ SECP256K1_FE_CONST(0x4b8f1faf, 0x94e8b070, 0x19af0ff6, 0xa319cd31, 0xdf0a7ffb, 0xefaba629, 0x59c50666, 0x1fe5b843)},
+ {SECP256K1_FE_CONST(0x4c8b0e6e, 0x83392ab6, 0xc0e3e9f1, 0xbbd85497, 0x16698897, 0xf552d50d, 0x79652ddb, 0x12f99870),
+ SECP256K1_FE_CONST(0x56d5101f, 0xd23b7949, 0x17dc38d6, 0xf24022ef, 0xcf18e70a, 0x5cc34424, 0x438544c3, 0x62da4bca)},
+ {SECP256K1_FE_CONST(0xb0e040e2, 0x40cc35da, 0x7dd5c611, 0x7fccb178, 0x28888137, 0xbc930358, 0xea2cbc90, 0x775417dc),
+ SECP256K1_FE_CONST(0xca37f0d4, 0x016dd7c8, 0xab3ae576, 0x96e08d69, 0x68ed9155, 0xa9b44270, 0x900ae35d, 0x7c7800cd)},
+ {SECP256K1_FE_CONST(0x8a32ea49, 0x7fbb0bae, 0x69724a9d, 0x8e2105b2, 0xbdf69178, 0x862577ef, 0x35055590, 0x667ddaef),
+ SECP256K1_FE_CONST(0xd02d7ead, 0xc5e190f0, 0x559c9d72, 0xdaef1ffc, 0x64f9f425, 0xf43645ea, 0x7341e08d, 0x11768e96)},
+ {SECP256K1_FE_CONST(0xa3592d98, 0x9abe289d, 0x579ebea6, 0xbb0857a8, 0xe242ab73, 0x85f9a2ce, 0xb6998f0f, 0xbfffbfc6),
+ SECP256K1_FE_CONST(0x093c1533, 0x32032efa, 0x6aa46070, 0x0039599e, 0x589c35f4, 0xff525430, 0x7fe3777a, 0x44b43ddc)},
+ {SECP256K1_FE_CONST(0x647178a3, 0x229e607b, 0xcc98521a, 0xcce3fdd9, 0x1e1bc9c9, 0x97fb7c6a, 0x61b961e0, 0x99b10709),
+ SECP256K1_FE_CONST(0x98217c13, 0xd51ddf78, 0x96310e77, 0xdaebd908, 0x602ca683, 0xcb46d07a, 0xa1fcf17e, 0xc8e2feb3)},
+ {SECP256K1_FE_CONST(0x7334627c, 0x73f98968, 0x99464b4b, 0xf5964958, 0x1b95870d, 0xc658227e, 0x5e3235d8, 0xdcab5787),
+ SECP256K1_FE_CONST(0x000006fd, 0xc7e9dd94, 0x40ae367a, 0xe51d495c, 0x07603b9b, 0x2d088418, 0x6cc5c74c, 0x98514307)},
+ {SECP256K1_FE_CONST(0x82e83876, 0x96c28938, 0xa50dd1c5, 0x605c3ad1, 0xc048637d, 0x7a50825f, 0x335ed01a, 0x00005760),
+ SECP256K1_FE_CONST(0xb0393f9f, 0x9f2aa55e, 0xf5607e2e, 0x5287d961, 0x60b3e704, 0xf3e16e80, 0xb4f9a3ea, 0xfec7f02d)},
+ {SECP256K1_FE_CONST(0xc97b6cec, 0x3ee6b8dc, 0x98d24b58, 0x3c1970a1, 0xfe06297a, 0xae813529, 0xe76bb6bd, 0x771ae51d),
+ SECP256K1_FE_CONST(0x0507c702, 0xd407d097, 0x47ddeb06, 0xf6625419, 0x79f48f79, 0x7bf80d0b, 0xfc34b364, 0x253a5db1)},
+ {SECP256K1_FE_CONST(0xd559af63, 0x77ea9bc4, 0x3cf1ad14, 0x5c7a4bbb, 0x10e7d18b, 0x7ce0dfac, 0x380bb19d, 0x0bb99bd3),
+ SECP256K1_FE_CONST(0x00196119, 0xb9b00d92, 0x34edfdb5, 0xbbdc42fc, 0xd2daa33a, 0x163356ca, 0xaa8754c8, 0xb0ec8b0b)},
+ {SECP256K1_FE_CONST(0x8ddfa3dc, 0x52918da0, 0x640519dc, 0x0af8512a, 0xca2d33b2, 0xbde52514, 0xda9c0afc, 0xcb29fce4),
+ SECP256K1_FE_CONST(0xb3e4878d, 0x5cb69148, 0xcd54388b, 0xc23acce0, 0x62518ba8, 0xf09def92, 0x7b31e6aa, 0x6ba35b02)},
+ {SECP256K1_FE_CONST(0xf8207492, 0xe3049f0a, 0x65285f2b, 0x0bfff996, 0x00ca112e, 0xc05da837, 0x546d41f9, 0x5194fb91),
+ SECP256K1_FE_CONST(0x7b7ee50b, 0xa8ed4bbd, 0xf6469930, 0x81419a5c, 0x071441c7, 0x290d046e, 0x3b82ea41, 0x611c5f95)},
+ {SECP256K1_FE_CONST(0x050f7c80, 0x5bcd3c6b, 0x823cb724, 0x5ce74db7, 0xa4e39f5c, 0xbd8828d7, 0xfd4d3e07, 0x3ec2926a),
+ SECP256K1_FE_CONST(0x000d6730, 0xb0171314, 0x4764053d, 0xee157117, 0x48fd61da, 0xdea0b9db, 0x1d5e91c6, 0xbdc3f59e)},
+ {SECP256K1_FE_CONST(0x3e3ea8eb, 0x05d760cf, 0x23009263, 0xb3cb3ac9, 0x088f6f0d, 0x3fc182a3, 0xbd57087c, 0xe67c62f9),
+ SECP256K1_FE_CONST(0xbe988716, 0xa29c1bf6, 0x4456aed6, 0xab1e4720, 0x49929305, 0x51043bf4, 0xebd833dd, 0xdd511e8b)},
+ {SECP256K1_FE_CONST(0x6964d2a9, 0xa7fa6501, 0xa5959249, 0x142f4029, 0xea0c1b5f, 0x2f487ef6, 0x301ac80a, 0x768be5cd),
+ SECP256K1_FE_CONST(0x3918ffe4, 0x07492543, 0xed24d0b7, 0x3df95f8f, 0xaffd7cb4, 0x0de2191c, 0x9ec2f2ad, 0x2c0cb3c6)},
+ {SECP256K1_FE_CONST(0x37c93520, 0xf6ddca57, 0x2b42fd5e, 0xb5c7e4de, 0x11b5b81c, 0xb95e91f3, 0x95c4d156, 0x39877ccb),
+ SECP256K1_FE_CONST(0x9a94b9b5, 0x57eb71ee, 0x4c975b8b, 0xac5262a8, 0x077b0595, 0xe12a6b1f, 0xd728edef, 0x1a6bf956)}
+ };
+ /* Fixed test cases for scalar inverses: pairs of (x, 1/x) mod n. */
+ static const secp256k1_scalar scalar_cases[][2] = {
+ /* 0 */
+ {SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0),
+ SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0)},
+ /* 1 */
+ {SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1),
+ SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1)},
+ /* -1 */
+ {SECP256K1_SCALAR_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xbaaedce6, 0xaf48a03b, 0xbfd25e8c, 0xd0364140),
+ SECP256K1_SCALAR_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xbaaedce6, 0xaf48a03b, 0xbfd25e8c, 0xd0364140)},
+ /* 2 */
+ {SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 2),
+ SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x5d576e73, 0x57a4501d, 0xdfe92f46, 0x681b20a1)},
+ /* 2**128 */
+ {SECP256K1_SCALAR_CONST(0, 0, 0, 1, 0, 0, 0, 0),
+ SECP256K1_SCALAR_CONST(0x50a51ac8, 0x34b9ec24, 0x4b0dff66, 0x5588b13e, 0x9984d5b3, 0xcf80ef0f, 0xd6a23766, 0xa3ee9f22)},
+ /* Input known to need 635 divsteps */
+ {SECP256K1_SCALAR_CONST(0xcb9f1d35, 0xdd4416c2, 0xcd71bf3f, 0x6365da66, 0x3c9b3376, 0x8feb7ae9, 0x32a5ef60, 0x19199ec3),
+ SECP256K1_SCALAR_CONST(0x1d7c7bba, 0xf1893d53, 0xb834bd09, 0x36b411dc, 0x42c2e42f, 0xec72c428, 0x5e189791, 0x8e9bc708)},
+ /* Input known to need 566 divsteps starting with delta=1/2. */
+ {SECP256K1_SCALAR_CONST(0x7e3c993d, 0xa4272488, 0xbc015b49, 0x2db54174, 0xd382083a, 0xebe6db35, 0x80f82eff, 0xcd132c72),
+ SECP256K1_SCALAR_CONST(0x086f34a0, 0x3e631f76, 0x77418f28, 0xcc84ac95, 0x6304439d, 0x365db268, 0x312c6ded, 0xd0b934f8)},
+ /* Input known to need 565 divsteps starting with delta=1/2. */
+ {SECP256K1_SCALAR_CONST(0xbad7e587, 0x3f307859, 0x60d93147, 0x8a18491e, 0xb38a9fd5, 0x254350d3, 0x4b1f0e4b, 0x7dd6edc4),
+ SECP256K1_SCALAR_CONST(0x89f2df26, 0x39e2b041, 0xf19bd876, 0xd039c8ac, 0xc2223add, 0x29c4943e, 0x6632d908, 0x515f467b)},
+ /* Selection of randomly generated inputs that reach low/high d/e values in various configurations. */
+ {SECP256K1_SCALAR_CONST(0x1950d757, 0xb37a5809, 0x435059bb, 0x0bb8997e, 0x07e1e3c8, 0x5e5d7d2c, 0x6a0ed8e3, 0xdbde180e),
+ SECP256K1_SCALAR_CONST(0xbf72af9b, 0x750309e2, 0x8dda230b, 0xfe432b93, 0x7e25e475, 0x4388251e, 0x633d894b, 0x3bcb6f8c)},
+ {SECP256K1_SCALAR_CONST(0x9bccf4e7, 0xc5a515e3, 0x50637aa9, 0xbb65a13f, 0x391749a1, 0x62de7d4e, 0xf6d7eabb, 0x3cd10ce0),
+ SECP256K1_SCALAR_CONST(0xaf2d5623, 0xb6385a33, 0xcd0365be, 0x5e92a70d, 0x7f09179c, 0x3baaf30f, 0x8f9cc83b, 0x20092f67)},
+ {SECP256K1_SCALAR_CONST(0x73a57111, 0xb242952a, 0x5c5dee59, 0xf3be2ace, 0xa30a7659, 0xa46e5f47, 0xd21267b1, 0x39e642c9),
+ SECP256K1_SCALAR_CONST(0xa711df07, 0xcbcf13ef, 0xd61cc6be, 0xbcd058ce, 0xb02cf157, 0x272d4a18, 0x86d0feb3, 0xcd5fa004)},
+ {SECP256K1_SCALAR_CONST(0x04884963, 0xce0580b1, 0xba547030, 0x3c691db3, 0x9cd2c84f, 0x24c7cebd, 0x97ebfdba, 0x3e785ec2),
+ SECP256K1_SCALAR_CONST(0xaaaaaf14, 0xd7c99ba7, 0x517ce2c1, 0x78a28b4c, 0x3769a851, 0xe5c5a03d, 0x4cc28f33, 0x0ec4dc5d)},
+ {SECP256K1_SCALAR_CONST(0x1679ed49, 0x21f537b1, 0x815cb8ae, 0x9efc511c, 0x5b9fa037, 0x0b0f275e, 0x6c985281, 0x6c4a9905),
+ SECP256K1_SCALAR_CONST(0xb14ac3d5, 0x62b52999, 0xef34ead1, 0xffca4998, 0x0294341a, 0x1f8172aa, 0xea1624f9, 0x302eea62)},
+ {SECP256K1_SCALAR_CONST(0x626b37c0, 0xf0057c35, 0xee982f83, 0x452a1fd3, 0xea826506, 0x48b08a9d, 0x1d2c4799, 0x4ad5f6ec),
+ SECP256K1_SCALAR_CONST(0xe38643b7, 0x567bfc2f, 0x5d2f1c15, 0xe327239c, 0x07112443, 0x69509283, 0xfd98e77a, 0xdb71c1e8)},
+ {SECP256K1_SCALAR_CONST(0x1850a3a7, 0x759efc56, 0x54f287b2, 0x14d1234b, 0xe263bbc9, 0xcf4d8927, 0xd5f85f27, 0x965bd816),
+ SECP256K1_SCALAR_CONST(0x3b071831, 0xcac9619a, 0xcceb0596, 0xf614d63b, 0x95d0db2f, 0xc6a00901, 0x8eaa2621, 0xabfa0009)},
+ {SECP256K1_SCALAR_CONST(0x94ae5d06, 0xa27dc400, 0x487d72be, 0xaa51ebed, 0xe475b5c0, 0xea675ffc, 0xf4df627a, 0xdca4222f),
+ SECP256K1_SCALAR_CONST(0x01b412ed, 0xd7830956, 0x1532537e, 0xe5e3dc99, 0x8fd3930a, 0x54f8d067, 0x32ef5760, 0x594438a5)},
+ {SECP256K1_SCALAR_CONST(0x1f24278a, 0xb5bfe374, 0xa328dbbc, 0xebe35f48, 0x6620e009, 0xd58bb1b4, 0xb5a6bf84, 0x8815f63a),
+ SECP256K1_SCALAR_CONST(0xfe928416, 0xca5ba2d3, 0xfde513da, 0x903a60c7, 0x9e58ad8a, 0x8783bee4, 0x083a3843, 0xa608c914)},
+ {SECP256K1_SCALAR_CONST(0xdc107d58, 0x274f6330, 0x67dba8bc, 0x26093111, 0x5201dfb8, 0x968ce3f5, 0xf34d1bd4, 0xf2146504),
+ SECP256K1_SCALAR_CONST(0x660cfa90, 0x13c3d93e, 0x7023b1e5, 0xedd09e71, 0x6d9c9d10, 0x7a3d2cdb, 0xdd08edc3, 0xaa78fcfb)},
+ {SECP256K1_SCALAR_CONST(0x7cd1e905, 0xc6f02776, 0x2f551cc7, 0x5da61cff, 0x7da05389, 0x1119d5a4, 0x631c7442, 0x894fd4f7),
+ SECP256K1_SCALAR_CONST(0xff20862a, 0x9d3b1a37, 0x1628803b, 0x3004ccae, 0xaa23282a, 0xa89a1109, 0xd94ece5e, 0x181bdc46)},
+ {SECP256K1_SCALAR_CONST(0x5b9dade8, 0x23d26c58, 0xcd12d818, 0x25b8ae97, 0x3dea04af, 0xf482c96b, 0xa062f254, 0x9e453640),
+ SECP256K1_SCALAR_CONST(0x50c38800, 0x15fa53f4, 0xbe1e5392, 0x5c9b120a, 0x262c22c7, 0x18fa0816, 0x5f2baab4, 0x8cb5db46)},
+ {SECP256K1_SCALAR_CONST(0x11cdaeda, 0x969c464b, 0xef1f4ab0, 0x5b01d22e, 0x656fd098, 0x882bea84, 0x65cdbe7a, 0x0c19ff03),
+ SECP256K1_SCALAR_CONST(0x1968d0fa, 0xac46f103, 0xb55f1f72, 0xb3820bed, 0xec6b359a, 0x4b1ae0ad, 0x7e38e1fb, 0x295ccdfb)},
+ {SECP256K1_SCALAR_CONST(0x2c351aa1, 0x26e91589, 0x194f8a1e, 0x06561f66, 0x0cb97b7f, 0x10914454, 0x134d1c03, 0x157266b4),
+ SECP256K1_SCALAR_CONST(0xbe49ada6, 0x92bd8711, 0x41b176c4, 0xa478ba95, 0x14883434, 0x9d1cd6f3, 0xcc4b847d, 0x22af80f5)},
+ {SECP256K1_SCALAR_CONST(0x6ba07c6e, 0x13a60edb, 0x6247f5c3, 0x84b5fa56, 0x76fe3ec5, 0x80426395, 0xf65ec2ae, 0x623ba730),
+ SECP256K1_SCALAR_CONST(0x25ac23f7, 0x418cd747, 0x98376f9d, 0x4a11c7bf, 0x24c8ebfe, 0x4c8a8655, 0x345f4f52, 0x1c515595)},
+ {SECP256K1_SCALAR_CONST(0x9397a712, 0x8abb6951, 0x2d4a3d54, 0x703b1c2a, 0x0661dca8, 0xd75c9b31, 0xaed4d24b, 0xd2ab2948),
+ SECP256K1_SCALAR_CONST(0xc52e8bef, 0xd55ce3eb, 0x1c897739, 0xeb9fb606, 0x36b9cd57, 0x18c51cc2, 0x6a87489e, 0xffd0dcf3)},
+ {SECP256K1_SCALAR_CONST(0xe6a808cc, 0xeb437888, 0xe97798df, 0x4e224e44, 0x7e3b380a, 0x207c1653, 0x889f3212, 0xc6738b6f),
+ SECP256K1_SCALAR_CONST(0x31f9ae13, 0xd1e08b20, 0x757a2e5e, 0x5243a0eb, 0x8ae35f73, 0x19bb6122, 0xb910f26b, 0xda70aa55)},
+ {SECP256K1_SCALAR_CONST(0xd0320548, 0xab0effe7, 0xa70779e0, 0x61a347a6, 0xb8c1e010, 0x9d5281f8, 0x2ee588a6, 0x80000000),
+ SECP256K1_SCALAR_CONST(0x1541897e, 0x78195c90, 0x7583dd9e, 0x728b6100, 0xbce8bc6d, 0x7a53b471, 0x5dcd9e45, 0x4425fcaf)},
+ {SECP256K1_SCALAR_CONST(0x93d623f1, 0xd45b50b0, 0x796e9186, 0x9eac9407, 0xd30edc20, 0xef6304cf, 0x250494e7, 0xba503de9),
+ SECP256K1_SCALAR_CONST(0x7026d638, 0x1178b548, 0x92043952, 0x3c7fb47c, 0xcd3ea236, 0x31d82b01, 0x612fc387, 0x80b9b957)},
+ {SECP256K1_SCALAR_CONST(0xf860ab39, 0x55f5d412, 0xa4d73bcc, 0x3b48bd90, 0xc248ffd3, 0x13ca10be, 0x8fba84cc, 0xdd28d6a3),
+ SECP256K1_SCALAR_CONST(0x5c32fc70, 0xe0b15d67, 0x76694700, 0xfe62be4d, 0xeacdb229, 0x7a4433d9, 0x52155cd0, 0x7649ab59)},
+ {SECP256K1_SCALAR_CONST(0x4e41311c, 0x0800af58, 0x7a690a8e, 0xe175c9ba, 0x6981ab73, 0xac532ea8, 0x5c1f5e63, 0x6ac1f189),
+ SECP256K1_SCALAR_CONST(0xfffffff9, 0xd075982c, 0x7fbd3825, 0xc05038a2, 0x4533b91f, 0x94ec5f45, 0xb280b28f, 0x842324dc)},
+ {SECP256K1_SCALAR_CONST(0x48e473bf, 0x3555eade, 0xad5d7089, 0x2424c4e4, 0x0a99397c, 0x2dc796d8, 0xb7a43a69, 0xd0364141),
+ SECP256K1_SCALAR_CONST(0x634976b2, 0xa0e47895, 0x1ec38593, 0x266d6fd0, 0x6f602644, 0x9bb762f1, 0x7180c704, 0xe23a4daa)},
+ {SECP256K1_SCALAR_CONST(0xbe83878d, 0x3292fc54, 0x26e71c62, 0x556ccedc, 0x7cbb8810, 0x4032a720, 0x34ead589, 0xe4d6bd13),
+ SECP256K1_SCALAR_CONST(0x6cd150ad, 0x25e59d0f, 0x74cbae3d, 0x6377534a, 0x1e6562e8, 0xb71b9d18, 0xe1e5d712, 0x8480abb3)},
+ {SECP256K1_SCALAR_CONST(0xcdddf2e5, 0xefc15f88, 0xc9ee06de, 0x8a846ca9, 0x28561581, 0x68daa5fb, 0xd1cf3451, 0xeb1782d0),
+ SECP256K1_SCALAR_CONST(0xffffffd9, 0xed8d2af4, 0x993c865a, 0x23e9681a, 0x3ca3a3dc, 0xe6d5a46e, 0xbd86bd87, 0x61b55c70)},
+ {SECP256K1_SCALAR_CONST(0xb6a18f1f, 0x04872df9, 0x08165ec4, 0x319ca19c, 0x6c0359ab, 0x1f7118fb, 0xc2ef8082, 0xca8b7785),
+ SECP256K1_SCALAR_CONST(0xff55b19b, 0x0f1ac78c, 0x0f0c88c2, 0x2358d5ad, 0x5f455e4e, 0x3330b72f, 0x274dc153, 0xffbf272b)},
+ {SECP256K1_SCALAR_CONST(0xea4898e5, 0x30eba3e8, 0xcf0e5c3d, 0x06ec6844, 0x01e26fb6, 0x75636225, 0xc5d08f4c, 0x1decafa0),
+ SECP256K1_SCALAR_CONST(0xe5a014a8, 0xe3c4ec1e, 0xea4f9b32, 0xcfc7b386, 0x00630806, 0x12c08d02, 0x6407ccc2, 0xb067d90e)},
+ {SECP256K1_SCALAR_CONST(0x70e9aea9, 0x7e933af0, 0x8a23bfab, 0x23e4b772, 0xff951863, 0x5ffcf47d, 0x6bebc918, 0x2ca58265),
+ SECP256K1_SCALAR_CONST(0xf4e00006, 0x81bc6441, 0x4eb6ec02, 0xc194a859, 0x80ad7c48, 0xba4e9afb, 0x8b6bdbe0, 0x989d8f77)},
+ {SECP256K1_SCALAR_CONST(0x3c56c774, 0x46efe6f0, 0xe93618b8, 0xf9b5a846, 0xd247df61, 0x83b1e215, 0x06dc8bcc, 0xeefc1bf5),
+ SECP256K1_SCALAR_CONST(0xfff8937a, 0x2cd9586b, 0x43c25e57, 0xd1cefa7a, 0x9fb91ed3, 0x95b6533d, 0x8ad0de5b, 0xafb93f00)},
+ {SECP256K1_SCALAR_CONST(0xfb5c2772, 0x5cb30e83, 0xe38264df, 0xe4e3ebf3, 0x392aa92e, 0xa68756a1, 0x51279ac5, 0xb50711a8),
+ SECP256K1_SCALAR_CONST(0x000013af, 0x1105bfe7, 0xa6bbd7fb, 0x3d638f99, 0x3b266b02, 0x072fb8bc, 0x39251130, 0x2e0fd0ea)}
+ };
+ int i, var, testrand;
+ unsigned char b32[32];
+ secp256k1_fe x_fe;
+ secp256k1_scalar x_scalar;
+ memset(b32, 0, sizeof(b32));
+ /* Test fixed test cases through test_inverse_{scalar,field}, both ways. */
+ for (i = 0; (size_t)i < sizeof(fe_cases)/sizeof(fe_cases[0]); ++i) {
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_field(&x_fe, &fe_cases[i][0], var);
+ CHECK(fe_equal(&x_fe, &fe_cases[i][1]));
+ test_inverse_field(&x_fe, &fe_cases[i][1], var);
+ CHECK(fe_equal(&x_fe, &fe_cases[i][0]));
+ }
+ }
+ for (i = 0; (size_t)i < sizeof(scalar_cases)/sizeof(scalar_cases[0]); ++i) {
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_scalar(&x_scalar, &scalar_cases[i][0], var);
+ CHECK(secp256k1_scalar_eq(&x_scalar, &scalar_cases[i][1]));
+ test_inverse_scalar(&x_scalar, &scalar_cases[i][1], var);
+ CHECK(secp256k1_scalar_eq(&x_scalar, &scalar_cases[i][0]));
+ }
+ }
+ /* Test inputs 0..999 and their respective negations. */
+ for (i = 0; i < 1000; ++i) {
+ b32[31] = i & 0xff;
+ b32[30] = (i >> 8) & 0xff;
+ secp256k1_scalar_set_b32(&x_scalar, b32, NULL);
+ secp256k1_fe_set_b32_mod(&x_fe, b32);
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_scalar(NULL, &x_scalar, var);
+ test_inverse_field(NULL, &x_fe, var);
+ }
+ secp256k1_scalar_negate(&x_scalar, &x_scalar);
+ secp256k1_fe_negate(&x_fe, &x_fe, 1);
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_scalar(NULL, &x_scalar, var);
+ test_inverse_field(NULL, &x_fe, var);
+ }
+ }
+ /* test 128*count random inputs; half with testrand256_test, half with testrand256 */
+ for (testrand = 0; testrand <= 1; ++testrand) {
+ for (i = 0; i < 64 * COUNT; ++i) {
+ (testrand ? testrand256_test : testrand256)(b32);
+ secp256k1_scalar_set_b32(&x_scalar, b32, NULL);
+ secp256k1_fe_set_b32_mod(&x_fe, b32);
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_scalar(NULL, &x_scalar, var);
+ test_inverse_field(NULL, &x_fe, var);
+ }
+ }
+ }
+}
+
+/***** HSORT TESTS *****/
+
+static void test_heap_swap(void) {
+ unsigned char a[600];
+ unsigned char e[sizeof(a)];
+ memset(a, 21, 200);
+ memset(a + 200, 99, 200);
+ memset(a + 400, 42, 200);
+ memset(e, 42, 200);
+ memset(e + 200, 99, 200);
+ memset(e + 400, 21, 200);
+ secp256k1_heap_swap(a, 0, 2, 200);
+ CHECK(secp256k1_memcmp_var(a, e, sizeof(a)) == 0);
+}
+
+static void test_hsort_is_sorted(unsigned char *elements, size_t n, size_t len) {
+ size_t i;
+ for (i = 1; i < n; i++) {
+ CHECK(secp256k1_memcmp_var(&elements[(i-1) * len], &elements[i * len], len) <= 0);
+ }
+}
+
+struct test_hsort_cmp_data {
+ size_t counter;
+ size_t element_len;
+};
+
+
+static int test_hsort_cmp(const void *ele1, const void *ele2, void *data) {
+ struct test_hsort_cmp_data *d = (struct test_hsort_cmp_data *) data;
+ d->counter += 1;
+ return secp256k1_memcmp_var((unsigned char *)ele1, (unsigned char *)ele2, d->element_len);
+}
+
+#define NUM 65
+#define MAX_ELEMENT_LEN 65
+static void test_hsort(size_t element_len) {
+ unsigned char elements[NUM * MAX_ELEMENT_LEN] = { 0 };
+ struct test_hsort_cmp_data data;
+ int i;
+
+ VERIFY_CHECK(element_len <= MAX_ELEMENT_LEN);
+ data.counter = 0;
+ data.element_len = element_len;
+
+ secp256k1_hsort(elements, 0, element_len, test_hsort_cmp, &data);
+ CHECK(data.counter == 0);
+ secp256k1_hsort(elements, 1, element_len, test_hsort_cmp, &data);
+ CHECK(data.counter == 0);
+ secp256k1_hsort(elements, NUM, element_len, test_hsort_cmp, &data);
+ CHECK(data.counter >= NUM - 1);
+ test_hsort_is_sorted(elements, NUM, element_len);
+
+ /* Test hsort with array of random length n */
+ for (i = 0; i < COUNT; i++) {
+ int n = testrand_int(NUM);
+ testrand_bytes_test(elements, n*element_len);
+ secp256k1_hsort(elements, n, element_len, test_hsort_cmp, &data);
+ test_hsort_is_sorted(elements, n, element_len);
+ }
+}
+#undef NUM
+#undef MAX_ELEMENT_LEN
+
+
+static void run_hsort_tests(void) {
+ test_heap_swap();
+ test_hsort(1);
+ test_hsort(64);
+ test_hsort(65);
}
+/***** GROUP TESTS *****/
+
/* This compares jacobian points including their Z, not just their geometric meaning. */
-int gej_xyz_equals_gej(const secp256k1_gej *a, const secp256k1_gej *b) {
+static int gej_xyz_equals_gej(const secp256k1_gej *a, const secp256k1_gej *b) {
secp256k1_gej a2;
secp256k1_gej b2;
int ret = 1;
@@ -1848,101 +3656,70 @@ int gej_xyz_equals_gej(const secp256k1_gej *a, const secp256k1_gej *b) {
return ret;
}
-void ge_equals_gej(const secp256k1_ge *a, const secp256k1_gej *b) {
- secp256k1_fe z2s;
- secp256k1_fe u1, u2, s1, s2;
- CHECK(a->infinity == b->infinity);
- if (a->infinity) {
- return;
- }
- /* Check a.x * b.z^2 == b.x && a.y * b.z^3 == b.y, to avoid inverses. */
- secp256k1_fe_sqr(&z2s, &b->z);
- secp256k1_fe_mul(&u1, &a->x, &z2s);
- u2 = b->x; secp256k1_fe_normalize_weak(&u2);
- secp256k1_fe_mul(&s1, &a->y, &z2s); secp256k1_fe_mul(&s1, &s1, &b->z);
- s2 = b->y; secp256k1_fe_normalize_weak(&s2);
- CHECK(secp256k1_fe_equal_var(&u1, &u2));
- CHECK(secp256k1_fe_equal_var(&s1, &s2));
-}
-
-void test_ge(void) {
+static void test_ge(void) {
int i, i1;
-#ifdef USE_ENDOMORPHISM
int runs = 6;
-#else
- int runs = 4;
-#endif
- /* Points: (infinity, p1, p1, -p1, -p1, p2, p2, -p2, -p2, p3, p3, -p3, -p3, p4, p4, -p4, -p4).
- * The second in each pair of identical points uses a random Z coordinate in the Jacobian form.
- * All magnitudes are randomized.
- * All 17*17 combinations of points are added to each other, using all applicable methods.
- *
- * When the endomorphism code is compiled in, p5 = lambda*p1 and p6 = lambda^2*p1 are added as well.
+ /* 25 points are used:
+ * - infinity
+ * - for each of four random points p1 p2 p3 p4, we add the point, its
+ * negation, and then those two again but with randomized Z coordinate.
+ * - The same is then done for lambda*p1 and lambda^2*p1.
*/
- secp256k1_ge *ge = (secp256k1_ge *)malloc(sizeof(secp256k1_ge) * (1 + 4 * runs));
- secp256k1_gej *gej = (secp256k1_gej *)malloc(sizeof(secp256k1_gej) * (1 + 4 * runs));
- secp256k1_fe *zinv = (secp256k1_fe *)malloc(sizeof(secp256k1_fe) * (1 + 4 * runs));
- secp256k1_fe zf;
+ secp256k1_ge *ge = (secp256k1_ge *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_ge) * (1 + 4 * runs));
+ secp256k1_gej *gej = (secp256k1_gej *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_gej) * (1 + 4 * runs));
+ secp256k1_fe zf, r;
secp256k1_fe zfi2, zfi3;
secp256k1_gej_set_infinity(&gej[0]);
- secp256k1_ge_clear(&ge[0]);
- secp256k1_ge_set_gej_var(&ge[0], &gej[0]);
+ secp256k1_ge_set_infinity(&ge[0]);
for (i = 0; i < runs; i++) {
- int j;
+ int j, k;
secp256k1_ge g;
- random_group_element_test(&g);
-#ifdef USE_ENDOMORPHISM
+ testutil_random_ge_test(&g);
if (i >= runs - 2) {
secp256k1_ge_mul_lambda(&g, &ge[1]);
+ CHECK(!secp256k1_ge_eq_var(&g, &ge[1]));
}
if (i >= runs - 1) {
secp256k1_ge_mul_lambda(&g, &g);
}
-#endif
ge[1 + 4 * i] = g;
ge[2 + 4 * i] = g;
secp256k1_ge_neg(&ge[3 + 4 * i], &g);
secp256k1_ge_neg(&ge[4 + 4 * i], &g);
secp256k1_gej_set_ge(&gej[1 + 4 * i], &ge[1 + 4 * i]);
- random_group_element_jacobian_test(&gej[2 + 4 * i], &ge[2 + 4 * i]);
+ testutil_random_ge_jacobian_test(&gej[2 + 4 * i], &ge[2 + 4 * i]);
secp256k1_gej_set_ge(&gej[3 + 4 * i], &ge[3 + 4 * i]);
- random_group_element_jacobian_test(&gej[4 + 4 * i], &ge[4 + 4 * i]);
+ testutil_random_ge_jacobian_test(&gej[4 + 4 * i], &ge[4 + 4 * i]);
for (j = 0; j < 4; j++) {
- random_field_element_magnitude(&ge[1 + j + 4 * i].x);
- random_field_element_magnitude(&ge[1 + j + 4 * i].y);
- random_field_element_magnitude(&gej[1 + j + 4 * i].x);
- random_field_element_magnitude(&gej[1 + j + 4 * i].y);
- random_field_element_magnitude(&gej[1 + j + 4 * i].z);
+ testutil_random_ge_x_magnitude(&ge[1 + j + 4 * i]);
+ testutil_random_ge_y_magnitude(&ge[1 + j + 4 * i]);
+ testutil_random_gej_x_magnitude(&gej[1 + j + 4 * i]);
+ testutil_random_gej_y_magnitude(&gej[1 + j + 4 * i]);
+ testutil_random_gej_z_magnitude(&gej[1 + j + 4 * i]);
}
- }
- /* Compute z inverses. */
- {
- secp256k1_fe *zs = malloc(sizeof(secp256k1_fe) * (1 + 4 * runs));
- for (i = 0; i < 4 * runs + 1; i++) {
- if (i == 0) {
- /* The point at infinity does not have a meaningful z inverse. Any should do. */
- do {
- random_field_element_test(&zs[i]);
- } while(secp256k1_fe_is_zero(&zs[i]));
- } else {
- zs[i] = gej[i].z;
+ for (j = 0; j < 4; ++j) {
+ for (k = 0; k < 4; ++k) {
+ int expect_equal = (j >> 1) == (k >> 1);
+ CHECK(secp256k1_ge_eq_var(&ge[1 + j + 4 * i], &ge[1 + k + 4 * i]) == expect_equal);
+ CHECK(secp256k1_gej_eq_var(&gej[1 + j + 4 * i], &gej[1 + k + 4 * i]) == expect_equal);
+ CHECK(secp256k1_gej_eq_ge_var(&gej[1 + j + 4 * i], &ge[1 + k + 4 * i]) == expect_equal);
+ CHECK(secp256k1_gej_eq_ge_var(&gej[1 + k + 4 * i], &ge[1 + j + 4 * i]) == expect_equal);
}
}
- secp256k1_fe_inv_all_var(zinv, zs, 4 * runs + 1);
- free(zs);
}
/* Generate random zf, and zfi2 = 1/zf^2, zfi3 = 1/zf^3 */
- do {
- random_field_element_test(&zf);
- } while(secp256k1_fe_is_zero(&zf));
- random_field_element_magnitude(&zf);
+ testutil_random_fe_non_zero_test(&zf);
+ testutil_random_fe_magnitude(&zf, 8);
secp256k1_fe_inv_var(&zfi3, &zf);
secp256k1_fe_sqr(&zfi2, &zfi3);
secp256k1_fe_mul(&zfi3, &zfi3, &zfi2);
+ /* Generate random r */
+ testutil_random_fe_non_zero_test(&r);
+
for (i1 = 0; i1 < 1 + 4 * runs; i1++) {
int i2;
for (i2 = 0; i2 < 1 + 4 * runs; i2++) {
@@ -1954,16 +3731,16 @@ void test_ge(void) {
/* Check Z ratio. */
if (!secp256k1_gej_is_infinity(&gej[i1]) && !secp256k1_gej_is_infinity(&refj)) {
secp256k1_fe zrz; secp256k1_fe_mul(&zrz, &zr, &gej[i1].z);
- CHECK(secp256k1_fe_equal_var(&zrz, &refj.z));
+ CHECK(secp256k1_fe_equal(&zrz, &refj.z));
}
secp256k1_ge_set_gej_var(&ref, &refj);
/* Test gej + ge with Z ratio result (var). */
secp256k1_gej_add_ge_var(&resj, &gej[i1], &ge[i2], secp256k1_gej_is_infinity(&gej[i1]) ? NULL : &zr);
- ge_equals_gej(&ref, &resj);
+ CHECK(secp256k1_gej_eq_ge_var(&resj, &ref));
if (!secp256k1_gej_is_infinity(&gej[i1]) && !secp256k1_gej_is_infinity(&resj)) {
secp256k1_fe zrz; secp256k1_fe_mul(&zrz, &zr, &gej[i1].z);
- CHECK(secp256k1_fe_equal_var(&zrz, &resj.z));
+ CHECK(secp256k1_fe_equal(&zrz, &resj.z));
}
/* Test gej + ge (var, with additional Z factor). */
@@ -1971,17 +3748,17 @@ void test_ge(void) {
secp256k1_ge ge2_zfi = ge[i2]; /* the second term with x and y rescaled for z = 1/zf */
secp256k1_fe_mul(&ge2_zfi.x, &ge2_zfi.x, &zfi2);
secp256k1_fe_mul(&ge2_zfi.y, &ge2_zfi.y, &zfi3);
- random_field_element_magnitude(&ge2_zfi.x);
- random_field_element_magnitude(&ge2_zfi.y);
+ testutil_random_ge_x_magnitude(&ge2_zfi);
+ testutil_random_ge_y_magnitude(&ge2_zfi);
secp256k1_gej_add_zinv_var(&resj, &gej[i1], &ge2_zfi, &zf);
- ge_equals_gej(&ref, &resj);
+ CHECK(secp256k1_gej_eq_ge_var(&resj, &ref));
}
/* Test gej + ge (const). */
if (i2 != 0) {
/* secp256k1_gej_add_ge does not support its second argument being infinity. */
secp256k1_gej_add_ge(&resj, &gej[i1], &ge[i2]);
- ge_equals_gej(&ref, &resj);
+ CHECK(secp256k1_gej_eq_ge_var(&resj, &ref));
}
/* Test doubling (var). */
@@ -1989,13 +3766,16 @@ void test_ge(void) {
secp256k1_fe zr2;
/* Normal doubling with Z ratio result. */
secp256k1_gej_double_var(&resj, &gej[i1], &zr2);
- ge_equals_gej(&ref, &resj);
+ CHECK(secp256k1_gej_eq_ge_var(&resj, &ref));
/* Check Z ratio. */
secp256k1_fe_mul(&zr2, &zr2, &gej[i1].z);
- CHECK(secp256k1_fe_equal_var(&zr2, &resj.z));
+ CHECK(secp256k1_fe_equal(&zr2, &resj.z));
/* Normal doubling. */
secp256k1_gej_double_var(&resj, &gej[i2], NULL);
- ge_equals_gej(&ref, &resj);
+ CHECK(secp256k1_gej_eq_ge_var(&resj, &ref));
+ /* Constant-time doubling. */
+ secp256k1_gej_double(&resj, &gej[i2]);
+ CHECK(secp256k1_gej_eq_ge_var(&resj, &ref));
}
/* Test adding opposites. */
@@ -2007,12 +3787,12 @@ void test_ge(void) {
if (i1 == 0) {
CHECK(secp256k1_ge_is_infinity(&ge[i1]));
CHECK(secp256k1_gej_is_infinity(&gej[i1]));
- ge_equals_gej(&ref, &gej[i2]);
+ CHECK(secp256k1_gej_eq_ge_var(&gej[i2], &ref));
}
if (i2 == 0) {
CHECK(secp256k1_ge_is_infinity(&ge[i2]));
CHECK(secp256k1_gej_is_infinity(&gej[i2]));
- ge_equals_gej(&ref, &gej[i1]);
+ CHECK(secp256k1_gej_eq_ge_var(&gej[i1], &ref));
}
}
}
@@ -2020,12 +3800,12 @@ void test_ge(void) {
/* Test adding all points together in random order equals infinity. */
{
secp256k1_gej sum = SECP256K1_GEJ_CONST_INFINITY;
- secp256k1_gej *gej_shuffled = (secp256k1_gej *)malloc((4 * runs + 1) * sizeof(secp256k1_gej));
+ secp256k1_gej *gej_shuffled = (secp256k1_gej *)checked_malloc(&CTX->error_callback, (4 * runs + 1) * sizeof(secp256k1_gej));
for (i = 0; i < 4 * runs + 1; i++) {
gej_shuffled[i] = gej[i];
}
for (i = 0; i < 4 * runs + 1; i++) {
- int swap = i + secp256k1_rand_int(4 * runs + 1 - i);
+ int swap = i + testrand_int(4 * runs + 1 - i);
if (swap != i) {
secp256k1_gej t = gej_shuffled[i];
gej_shuffled[i] = gej_shuffled[swap];
@@ -2039,37 +3819,109 @@ void test_ge(void) {
free(gej_shuffled);
}
- /* Test batch gej -> ge conversion with and without known z ratios. */
+ /* Test batch gej -> ge conversion without known z ratios. */
{
- secp256k1_fe *zr = (secp256k1_fe *)malloc((4 * runs + 1) * sizeof(secp256k1_fe));
- secp256k1_ge *ge_set_table = (secp256k1_ge *)malloc((4 * runs + 1) * sizeof(secp256k1_ge));
- secp256k1_ge *ge_set_all = (secp256k1_ge *)malloc((4 * runs + 1) * sizeof(secp256k1_ge));
- for (i = 0; i < 4 * runs + 1; i++) {
- /* Compute gej[i + 1].z / gez[i].z (with gej[n].z taken to be 1). */
- if (i < 4 * runs) {
- secp256k1_fe_mul(&zr[i + 1], &zinv[i], &gej[i + 1].z);
- }
- }
- secp256k1_ge_set_table_gej_var(ge_set_table, gej, zr, 4 * runs + 1);
- secp256k1_ge_set_all_gej_var(ge_set_all, gej, 4 * runs + 1, &ctx->error_callback);
+ secp256k1_ge *ge_set_all = (secp256k1_ge *)checked_malloc(&CTX->error_callback, (4 * runs + 1) * sizeof(secp256k1_ge));
+ secp256k1_ge_set_all_gej_var(ge_set_all, gej, 4 * runs + 1);
for (i = 0; i < 4 * runs + 1; i++) {
secp256k1_fe s;
- random_fe_non_zero(&s);
+ testutil_random_fe_non_zero(&s);
secp256k1_gej_rescale(&gej[i], &s);
- ge_equals_gej(&ge_set_table[i], &gej[i]);
- ge_equals_gej(&ge_set_all[i], &gej[i]);
+ CHECK(secp256k1_gej_eq_ge_var(&gej[i], &ge_set_all[i]));
}
- free(ge_set_table);
free(ge_set_all);
- free(zr);
+ }
+
+ /* Test that all elements have X coordinates on the curve. */
+ for (i = 1; i < 4 * runs + 1; i++) {
+ secp256k1_fe n;
+ CHECK(secp256k1_ge_x_on_curve_var(&ge[i].x));
+ /* And the same holds after random rescaling. */
+ secp256k1_fe_mul(&n, &zf, &ge[i].x);
+ CHECK(secp256k1_ge_x_frac_on_curve_var(&n, &zf));
+ }
+
+ /* Test correspondence of secp256k1_ge_x{,_frac}_on_curve_var with ge_set_xo. */
+ {
+ secp256k1_fe n;
+ secp256k1_ge q;
+ int ret_on_curve, ret_frac_on_curve, ret_set_xo;
+ secp256k1_fe_mul(&n, &zf, &r);
+ ret_on_curve = secp256k1_ge_x_on_curve_var(&r);
+ ret_frac_on_curve = secp256k1_ge_x_frac_on_curve_var(&n, &zf);
+ ret_set_xo = secp256k1_ge_set_xo_var(&q, &r, 0);
+ CHECK(ret_on_curve == ret_frac_on_curve);
+ CHECK(ret_on_curve == ret_set_xo);
+ if (ret_set_xo) CHECK(secp256k1_fe_equal(&r, &q.x));
+ }
+
+ /* Test batch gej -> ge conversion with many infinities. */
+ for (i = 0; i < 4 * runs + 1; i++) {
+ int odd;
+ testutil_random_ge_test(&ge[i]);
+ odd = secp256k1_fe_is_odd(&ge[i].x);
+ CHECK(odd == 0 || odd == 1);
+ /* randomly set half the points to infinity */
+ if (odd == i % 2) {
+ secp256k1_ge_set_infinity(&ge[i]);
+ }
+ secp256k1_gej_set_ge(&gej[i], &ge[i]);
+ }
+ /* batch convert */
+ secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1);
+ /* check result */
+ for (i = 0; i < 4 * runs + 1; i++) {
+ CHECK(secp256k1_gej_eq_ge_var(&gej[i], &ge[i]));
+ }
+
+ /* Test batch gej -> ge conversion with all infinities. */
+ for (i = 0; i < 4 * runs + 1; i++) {
+ secp256k1_gej_set_infinity(&gej[i]);
+ }
+ /* batch convert */
+ secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1);
+ /* check result */
+ for (i = 0; i < 4 * runs + 1; i++) {
+ CHECK(secp256k1_ge_is_infinity(&ge[i]));
}
free(ge);
free(gej);
- free(zinv);
}
-void test_add_neg_y_diff_x(void) {
+static void test_intialized_inf(void) {
+ secp256k1_ge p;
+ secp256k1_gej pj, npj, infj1, infj2, infj3;
+ secp256k1_fe zinv;
+
+ /* Test that adding P+(-P) results in a fully initialized infinity*/
+ testutil_random_ge_test(&p);
+ secp256k1_gej_set_ge(&pj, &p);
+ secp256k1_gej_neg(&npj, &pj);
+
+ secp256k1_gej_add_var(&infj1, &pj, &npj, NULL);
+ CHECK(secp256k1_gej_is_infinity(&infj1));
+ CHECK(secp256k1_fe_is_zero(&infj1.x));
+ CHECK(secp256k1_fe_is_zero(&infj1.y));
+ CHECK(secp256k1_fe_is_zero(&infj1.z));
+
+ secp256k1_gej_add_ge_var(&infj2, &npj, &p, NULL);
+ CHECK(secp256k1_gej_is_infinity(&infj2));
+ CHECK(secp256k1_fe_is_zero(&infj2.x));
+ CHECK(secp256k1_fe_is_zero(&infj2.y));
+ CHECK(secp256k1_fe_is_zero(&infj2.z));
+
+ secp256k1_fe_set_int(&zinv, 1);
+ secp256k1_gej_add_zinv_var(&infj3, &npj, &p, &zinv);
+ CHECK(secp256k1_gej_is_infinity(&infj3));
+ CHECK(secp256k1_fe_is_zero(&infj3.x));
+ CHECK(secp256k1_fe_is_zero(&infj3.y));
+ CHECK(secp256k1_fe_is_zero(&infj3.z));
+
+
+}
+
+static void test_add_neg_y_diff_x(void) {
/* The point of this test is to check that we can add two points
* whose y-coordinates are negatives of each other but whose x
* coordinates differ. If the x-coordinates were the same, these
@@ -2083,22 +3935,15 @@ void test_add_neg_y_diff_x(void) {
* which this test is a regression test for.
*
* These points were generated in sage as
- * # secp256k1 params
- * F = FiniteField (0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F)
- * C = EllipticCurve ([F (0), F (7)])
- * G = C.lift_x(0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798)
- * N = FiniteField(G.order())
*
- * # endomorphism values (lambda is 1^{1/3} in N, beta is 1^{1/3} in F)
- * x = polygen(N)
- * lam = (1 - x^3).roots()[1][0]
+ * load("secp256k1_params.sage")
*
* # random "bad pair"
* P = C.random_element()
- * Q = -int(lam) * P
- * print " P: %x %x" % P.xy()
- * print " Q: %x %x" % Q.xy()
- * print "P + Q: %x %x" % (P + Q).xy()
+ * Q = -int(LAMBDA) * P
+ * print(" P: %x %x" % P.xy())
+ * print(" Q: %x %x" % Q.xy())
+ * print("P + Q: %x %x" % (P + Q).xy())
*/
secp256k1_gej aj = SECP256K1_GEJ_CONST(
0x8d24cd95, 0x0a355af1, 0x3c543505, 0x44238d30,
@@ -2125,27 +3970,101 @@ void test_add_neg_y_diff_x(void) {
secp256k1_gej_add_var(&resj, &aj, &bj, NULL);
secp256k1_ge_set_gej(&res, &resj);
- ge_equals_gej(&res, &sumj);
+ CHECK(secp256k1_gej_eq_ge_var(&sumj, &res));
secp256k1_gej_add_ge(&resj, &aj, &b);
secp256k1_ge_set_gej(&res, &resj);
- ge_equals_gej(&res, &sumj);
+ CHECK(secp256k1_gej_eq_ge_var(&sumj, &res));
secp256k1_gej_add_ge_var(&resj, &aj, &b, NULL);
secp256k1_ge_set_gej(&res, &resj);
- ge_equals_gej(&res, &sumj);
+ CHECK(secp256k1_gej_eq_ge_var(&sumj, &res));
+}
+
+static void test_ge_bytes(void) {
+ int i;
+
+ for (i = 0; i < COUNT + 1; i++) {
+ unsigned char buf[64];
+ secp256k1_ge p, q;
+
+ if (i == 0) {
+ secp256k1_ge_set_infinity(&p);
+ } else {
+ testutil_random_ge_test(&p);
+ }
+
+ if (!secp256k1_ge_is_infinity(&p)) {
+ secp256k1_ge_to_bytes(buf, &p);
+
+ secp256k1_ge_from_bytes(&q, buf);
+ CHECK(secp256k1_ge_eq_var(&p, &q));
+
+ secp256k1_ge_from_bytes_ext(&q, buf);
+ CHECK(secp256k1_ge_eq_var(&p, &q));
+ }
+ secp256k1_ge_to_bytes_ext(buf, &p);
+ secp256k1_ge_from_bytes_ext(&q, buf);
+ CHECK(secp256k1_ge_eq_var(&p, &q));
+ }
}
-void run_ge(void) {
+static void run_ge(void) {
int i;
- for (i = 0; i < count * 32; i++) {
+ for (i = 0; i < COUNT * 32; i++) {
test_ge();
}
test_add_neg_y_diff_x();
+ test_intialized_inf();
+ test_ge_bytes();
+}
+
+static void test_gej_cmov(const secp256k1_gej *a, const secp256k1_gej *b) {
+ secp256k1_gej t = *a;
+ secp256k1_gej_cmov(&t, b, 0);
+ CHECK(gej_xyz_equals_gej(&t, a));
+ secp256k1_gej_cmov(&t, b, 1);
+ CHECK(gej_xyz_equals_gej(&t, b));
+}
+
+static void run_gej(void) {
+ int i;
+ secp256k1_gej a, b;
+
+ /* Tests for secp256k1_gej_cmov */
+ for (i = 0; i < COUNT; i++) {
+ secp256k1_gej_set_infinity(&a);
+ secp256k1_gej_set_infinity(&b);
+ test_gej_cmov(&a, &b);
+
+ testutil_random_gej_test(&a);
+ test_gej_cmov(&a, &b);
+ test_gej_cmov(&b, &a);
+
+ b = a;
+ test_gej_cmov(&a, &b);
+
+ testutil_random_gej_test(&b);
+ test_gej_cmov(&a, &b);
+ test_gej_cmov(&b, &a);
+ }
+
+ /* Tests for secp256k1_gej_eq_var */
+ for (i = 0; i < COUNT; i++) {
+ secp256k1_fe fe;
+ testutil_random_gej_test(&a);
+ testutil_random_gej_test(&b);
+ CHECK(!secp256k1_gej_eq_var(&a, &b));
+
+ b = a;
+ testutil_random_fe_non_zero_test(&fe);
+ secp256k1_gej_rescale(&a, &fe);
+ CHECK(secp256k1_gej_eq_var(&a, &b));
+ }
}
-void test_ec_combine(void) {
- secp256k1_scalar sum = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
+static void test_ec_combine(void) {
+ secp256k1_scalar sum = secp256k1_scalar_zero;
secp256k1_pubkey data[6];
const secp256k1_pubkey* d[6];
secp256k1_pubkey sd;
@@ -2155,103 +4074,148 @@ void test_ec_combine(void) {
int i;
for (i = 1; i <= 6; i++) {
secp256k1_scalar s;
- random_scalar_order_test(&s);
+ testutil_random_scalar_order_test(&s);
secp256k1_scalar_add(&sum, &sum, &s);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &Qj, &s);
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &Qj, &s);
secp256k1_ge_set_gej(&Q, &Qj);
secp256k1_pubkey_save(&data[i - 1], &Q);
d[i - 1] = &data[i - 1];
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &Qj, &sum);
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &Qj, &sum);
secp256k1_ge_set_gej(&Q, &Qj);
secp256k1_pubkey_save(&sd, &Q);
- CHECK(ethkit_secp256k1_ec_pubkey_combine(ctx, &sd2, d, i) == 1);
- CHECK(memcmp(&sd, &sd2, sizeof(sd)) == 0);
+ CHECK(secp256k1_ec_pubkey_combine(CTX, &sd2, d, i) == 1);
+ CHECK(secp256k1_memcmp_var(&sd, &sd2, sizeof(sd)) == 0);
}
}
-void run_ec_combine(void) {
+static void run_ec_combine(void) {
int i;
- for (i = 0; i < count * 8; i++) {
+ for (i = 0; i < COUNT * 8; i++) {
test_ec_combine();
}
}
-void test_group_decompress(const secp256k1_fe* x) {
+static void test_group_decompress(const secp256k1_fe* x) {
/* The input itself, normalized. */
secp256k1_fe fex = *x;
- secp256k1_fe fez;
- /* Results of set_xquad_var, set_xo_var(..., 0), set_xo_var(..., 1). */
- secp256k1_ge ge_quad, ge_even, ge_odd;
- secp256k1_gej gej_quad;
+ /* Results of set_xo_var(..., 0), set_xo_var(..., 1). */
+ secp256k1_ge ge_even, ge_odd;
/* Return values of the above calls. */
- int res_quad, res_even, res_odd;
+ int res_even, res_odd;
secp256k1_fe_normalize_var(&fex);
- res_quad = secp256k1_ge_set_xquad(&ge_quad, &fex);
res_even = secp256k1_ge_set_xo_var(&ge_even, &fex, 0);
res_odd = secp256k1_ge_set_xo_var(&ge_odd, &fex, 1);
- CHECK(res_quad == res_even);
- CHECK(res_quad == res_odd);
+ CHECK(res_even == res_odd);
- if (res_quad) {
- secp256k1_fe_normalize_var(&ge_quad.x);
+ if (res_even) {
secp256k1_fe_normalize_var(&ge_odd.x);
secp256k1_fe_normalize_var(&ge_even.x);
- secp256k1_fe_normalize_var(&ge_quad.y);
secp256k1_fe_normalize_var(&ge_odd.y);
secp256k1_fe_normalize_var(&ge_even.y);
/* No infinity allowed. */
- CHECK(!ge_quad.infinity);
CHECK(!ge_even.infinity);
CHECK(!ge_odd.infinity);
/* Check that the x coordinates check out. */
- CHECK(secp256k1_fe_equal_var(&ge_quad.x, x));
- CHECK(secp256k1_fe_equal_var(&ge_even.x, x));
- CHECK(secp256k1_fe_equal_var(&ge_odd.x, x));
-
- /* Check that the Y coordinate result in ge_quad is a square. */
- CHECK(secp256k1_fe_is_quad_var(&ge_quad.y));
+ CHECK(secp256k1_fe_equal(&ge_even.x, x));
+ CHECK(secp256k1_fe_equal(&ge_odd.x, x));
/* Check odd/even Y in ge_odd, ge_even. */
CHECK(secp256k1_fe_is_odd(&ge_odd.y));
CHECK(!secp256k1_fe_is_odd(&ge_even.y));
-
- /* Check secp256k1_gej_has_quad_y_var. */
- secp256k1_gej_set_ge(&gej_quad, &ge_quad);
- CHECK(secp256k1_gej_has_quad_y_var(&gej_quad));
- do {
- random_fe_test(&fez);
- } while (secp256k1_fe_is_zero(&fez));
- secp256k1_gej_rescale(&gej_quad, &fez);
- CHECK(secp256k1_gej_has_quad_y_var(&gej_quad));
- secp256k1_gej_neg(&gej_quad, &gej_quad);
- CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad));
- do {
- random_fe_test(&fez);
- } while (secp256k1_fe_is_zero(&fez));
- secp256k1_gej_rescale(&gej_quad, &fez);
- CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad));
- secp256k1_gej_neg(&gej_quad, &gej_quad);
- CHECK(secp256k1_gej_has_quad_y_var(&gej_quad));
}
}
-void run_group_decompress(void) {
+static void run_group_decompress(void) {
int i;
- for (i = 0; i < count * 4; i++) {
+ for (i = 0; i < COUNT * 4; i++) {
secp256k1_fe fe;
- random_fe_test(&fe);
+ testutil_random_fe_test(&fe);
test_group_decompress(&fe);
}
}
/***** ECMULT TESTS *****/
-void run_ecmult_chain(void) {
+static void test_pre_g_table(const secp256k1_ge_storage * pre_g, size_t n) {
+ /* Tests the pre_g / pre_g_128 tables for consistency.
+ * For independent verification we take a "geometric" approach to verification.
+ * We check that every entry is on-curve.
+ * We check that for consecutive entries p and q, that p + gg - q = 0 by checking
+ * (1) p, gg, and -q are colinear.
+ * (2) p, gg, and -q are all distinct.
+ * where gg is twice the generator, where the generator is the first table entry.
+ *
+ * Checking the table's generators are correct is done in run_ecmult_pre_g.
+ */
+ secp256k1_gej g2;
+ secp256k1_ge p, q, gg;
+ secp256k1_fe dpx, dpy, dqx, dqy;
+ size_t i;
+
+ CHECK(0 < n);
+
+ secp256k1_ge_from_storage(&p, &pre_g[0]);
+ CHECK(secp256k1_ge_is_valid_var(&p));
+
+ secp256k1_gej_set_ge(&g2, &p);
+ secp256k1_gej_double_var(&g2, &g2, NULL);
+ secp256k1_ge_set_gej_var(&gg, &g2);
+ for (i = 1; i < n; ++i) {
+ secp256k1_fe_negate(&dpx, &p.x, 1); secp256k1_fe_add(&dpx, &gg.x); secp256k1_fe_normalize_weak(&dpx);
+ secp256k1_fe_negate(&dpy, &p.y, 1); secp256k1_fe_add(&dpy, &gg.y); secp256k1_fe_normalize_weak(&dpy);
+ /* Check that p is not equal to gg */
+ CHECK(!secp256k1_fe_normalizes_to_zero_var(&dpx) || !secp256k1_fe_normalizes_to_zero_var(&dpy));
+
+ secp256k1_ge_from_storage(&q, &pre_g[i]);
+ CHECK(secp256k1_ge_is_valid_var(&q));
+
+ secp256k1_fe_negate(&dqx, &q.x, 1); secp256k1_fe_add(&dqx, &gg.x);
+ dqy = q.y; secp256k1_fe_add(&dqy, &gg.y);
+ /* Check that -q is not equal to gg */
+ CHECK(!secp256k1_fe_normalizes_to_zero_var(&dqx) || !secp256k1_fe_normalizes_to_zero_var(&dqy));
+
+ /* Check that -q is not equal to p */
+ CHECK(!secp256k1_fe_equal(&dpx, &dqx) || !secp256k1_fe_equal(&dpy, &dqy));
+
+ /* Check that p, -q and gg are colinear */
+ secp256k1_fe_mul(&dpx, &dpx, &dqy);
+ secp256k1_fe_mul(&dpy, &dpy, &dqx);
+ CHECK(secp256k1_fe_equal(&dpx, &dpy));
+
+ p = q;
+ }
+}
+
+static void run_ecmult_pre_g(void) {
+ secp256k1_ge_storage gs;
+ secp256k1_gej gj;
+ secp256k1_ge g;
+ size_t i;
+
+ /* Check that the pre_g and pre_g_128 tables are consistent. */
+ test_pre_g_table(secp256k1_pre_g, ECMULT_TABLE_SIZE(WINDOW_G));
+ test_pre_g_table(secp256k1_pre_g_128, ECMULT_TABLE_SIZE(WINDOW_G));
+
+ /* Check the first entry from the pre_g table. */
+ secp256k1_ge_to_storage(&gs, &secp256k1_ge_const_g);
+ CHECK(secp256k1_memcmp_var(&gs, &secp256k1_pre_g[0], sizeof(gs)) == 0);
+
+ /* Check the first entry from the pre_g_128 table. */
+ secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g);
+ for (i = 0; i < 128; ++i) {
+ secp256k1_gej_double_var(&gj, &gj, NULL);
+ }
+ secp256k1_ge_set_gej(&g, &gj);
+ secp256k1_ge_to_storage(&gs, &g);
+ CHECK(secp256k1_memcmp_var(&gs, &secp256k1_pre_g_128[0], sizeof(gs)) == 0);
+}
+
+static void run_ecmult_chain(void) {
/* random starting point A (on the curve) */
secp256k1_gej a = SECP256K1_GEJ_CONST(
0x8b30bbe9, 0xae2a9906, 0x96b22f67, 0x0709dff3,
@@ -2272,8 +4236,8 @@ void run_ecmult_chain(void) {
static const secp256k1_scalar xf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x1337);
static const secp256k1_scalar gf = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0x7113);
/* accumulators with the resulting coefficients to A and G */
- secp256k1_scalar ae = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1);
- secp256k1_scalar ge = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
+ secp256k1_scalar ae = secp256k1_scalar_one;
+ secp256k1_scalar ge = secp256k1_scalar_zero;
/* actual points */
secp256k1_gej x;
secp256k1_gej x2;
@@ -2281,9 +4245,9 @@ void run_ecmult_chain(void) {
/* the point being computed */
x = a;
- for (i = 0; i < 200*count; i++) {
+ for (i = 0; i < 200*COUNT; i++) {
/* in each iteration, compute X = xn*X + gn*G; */
- secp256k1_ecmult(&ctx->ecmult_ctx, &x, &x, &xn, &gn);
+ secp256k1_ecmult(&x, &x, &xn, &gn);
/* also compute ae and ge: the actual accumulated factors for A and G */
/* if X was (ae*A+ge*G), xn*X + gn*G results in (xn*ae*A + (xn*ge+gn)*G) */
secp256k1_scalar_mul(&ae, &ae, &xn);
@@ -2302,36 +4266,28 @@ void run_ecmult_chain(void) {
0xB95CBCA2, 0xC77DA786, 0x539BE8FD, 0x53354D2D,
0x3B4F566A, 0xE6580454, 0x07ED6015, 0xEE1B2A88
);
-
- secp256k1_gej_neg(&rp, &rp);
- secp256k1_gej_add_var(&rp, &rp, &x, NULL);
- CHECK(secp256k1_gej_is_infinity(&rp));
+ CHECK(secp256k1_gej_eq_var(&rp, &x));
}
}
/* redo the computation, but directly with the resulting ae and ge coefficients: */
- secp256k1_ecmult(&ctx->ecmult_ctx, &x2, &a, &ae, &ge);
- secp256k1_gej_neg(&x2, &x2);
- secp256k1_gej_add_var(&x2, &x2, &x, NULL);
- CHECK(secp256k1_gej_is_infinity(&x2));
+ secp256k1_ecmult(&x2, &a, &ae, &ge);
+ CHECK(secp256k1_gej_eq_var(&x, &x2));
}
-void test_point_times_order(const secp256k1_gej *point) {
+static void test_point_times_order(const secp256k1_gej *point) {
/* X * (point + G) + (order-X) * (pointer + G) = 0 */
secp256k1_scalar x;
secp256k1_scalar nx;
- secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
- secp256k1_scalar one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1);
secp256k1_gej res1, res2;
secp256k1_ge res3;
unsigned char pub[65];
size_t psize = 65;
- random_scalar_order_test(&x);
+ testutil_random_scalar_order_test(&x);
secp256k1_scalar_negate(&nx, &x);
- secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &x, &x); /* calc res1 = x * point + x * G; */
- secp256k1_ecmult(&ctx->ecmult_ctx, &res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */
+ secp256k1_ecmult(&res1, point, &x, &x); /* calc res1 = x * point + x * G; */
+ secp256k1_ecmult(&res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */
secp256k1_gej_add_var(&res1, &res1, &res2, NULL);
CHECK(secp256k1_gej_is_infinity(&res1));
- CHECK(secp256k1_gej_is_valid_var(&res1) == 0);
secp256k1_ge_set_gej(&res3, &res1);
CHECK(secp256k1_ge_is_infinity(&res3));
CHECK(secp256k1_ge_is_valid_var(&res3) == 0);
@@ -2339,18 +4295,98 @@ void test_point_times_order(const secp256k1_gej *point) {
psize = 65;
CHECK(secp256k1_eckey_pubkey_serialize(&res3, pub, &psize, 1) == 0);
/* check zero/one edge cases */
- secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &zero);
+ secp256k1_ecmult(&res1, point, &secp256k1_scalar_zero, &secp256k1_scalar_zero);
secp256k1_ge_set_gej(&res3, &res1);
CHECK(secp256k1_ge_is_infinity(&res3));
- secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &one, &zero);
+ secp256k1_ecmult(&res1, point, &secp256k1_scalar_one, &secp256k1_scalar_zero);
secp256k1_ge_set_gej(&res3, &res1);
- ge_equals_gej(&res3, point);
- secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &one);
+ CHECK(secp256k1_gej_eq_ge_var(point, &res3));
+ secp256k1_ecmult(&res1, point, &secp256k1_scalar_zero, &secp256k1_scalar_one);
secp256k1_ge_set_gej(&res3, &res1);
- ge_equals_ge(&res3, &secp256k1_ge_const_g);
+ CHECK(secp256k1_ge_eq_var(&secp256k1_ge_const_g, &res3));
+}
+
+/* These scalars reach large (in absolute value) outputs when fed to secp256k1_scalar_split_lambda.
+ *
+ * They are computed as:
+ * - For a in [-2, -1, 0, 1, 2]:
+ * - For b in [-3, -1, 1, 3]:
+ * - Output (a*LAMBDA + (ORDER+b)/2) % ORDER
+ */
+static const secp256k1_scalar scalars_near_split_bounds[20] = {
+ SECP256K1_SCALAR_CONST(0xd938a566, 0x7f479e3e, 0xb5b3c7fa, 0xefdb3749, 0x3aa0585c, 0xc5ea2367, 0xe1b660db, 0x0209e6fc),
+ SECP256K1_SCALAR_CONST(0xd938a566, 0x7f479e3e, 0xb5b3c7fa, 0xefdb3749, 0x3aa0585c, 0xc5ea2367, 0xe1b660db, 0x0209e6fd),
+ SECP256K1_SCALAR_CONST(0xd938a566, 0x7f479e3e, 0xb5b3c7fa, 0xefdb3749, 0x3aa0585c, 0xc5ea2367, 0xe1b660db, 0x0209e6fe),
+ SECP256K1_SCALAR_CONST(0xd938a566, 0x7f479e3e, 0xb5b3c7fa, 0xefdb3749, 0x3aa0585c, 0xc5ea2367, 0xe1b660db, 0x0209e6ff),
+ SECP256K1_SCALAR_CONST(0x2c9c52b3, 0x3fa3cf1f, 0x5ad9e3fd, 0x77ed9ba5, 0xb294b893, 0x3722e9a5, 0x00e698ca, 0x4cf7632d),
+ SECP256K1_SCALAR_CONST(0x2c9c52b3, 0x3fa3cf1f, 0x5ad9e3fd, 0x77ed9ba5, 0xb294b893, 0x3722e9a5, 0x00e698ca, 0x4cf7632e),
+ SECP256K1_SCALAR_CONST(0x2c9c52b3, 0x3fa3cf1f, 0x5ad9e3fd, 0x77ed9ba5, 0xb294b893, 0x3722e9a5, 0x00e698ca, 0x4cf7632f),
+ SECP256K1_SCALAR_CONST(0x2c9c52b3, 0x3fa3cf1f, 0x5ad9e3fd, 0x77ed9ba5, 0xb294b893, 0x3722e9a5, 0x00e698ca, 0x4cf76330),
+ SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xd576e735, 0x57a4501d, 0xdfe92f46, 0x681b209f),
+ SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xd576e735, 0x57a4501d, 0xdfe92f46, 0x681b20a0),
+ SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xd576e735, 0x57a4501d, 0xdfe92f46, 0x681b20a1),
+ SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xd576e735, 0x57a4501d, 0xdfe92f46, 0x681b20a2),
+ SECP256K1_SCALAR_CONST(0xd363ad4c, 0xc05c30e0, 0xa5261c02, 0x88126459, 0xf85915d7, 0x7825b696, 0xbeebc5c2, 0x833ede11),
+ SECP256K1_SCALAR_CONST(0xd363ad4c, 0xc05c30e0, 0xa5261c02, 0x88126459, 0xf85915d7, 0x7825b696, 0xbeebc5c2, 0x833ede12),
+ SECP256K1_SCALAR_CONST(0xd363ad4c, 0xc05c30e0, 0xa5261c02, 0x88126459, 0xf85915d7, 0x7825b696, 0xbeebc5c2, 0x833ede13),
+ SECP256K1_SCALAR_CONST(0xd363ad4c, 0xc05c30e0, 0xa5261c02, 0x88126459, 0xf85915d7, 0x7825b696, 0xbeebc5c2, 0x833ede14),
+ SECP256K1_SCALAR_CONST(0x26c75a99, 0x80b861c1, 0x4a4c3805, 0x1024c8b4, 0x704d760e, 0xe95e7cd3, 0xde1bfdb1, 0xce2c5a42),
+ SECP256K1_SCALAR_CONST(0x26c75a99, 0x80b861c1, 0x4a4c3805, 0x1024c8b4, 0x704d760e, 0xe95e7cd3, 0xde1bfdb1, 0xce2c5a43),
+ SECP256K1_SCALAR_CONST(0x26c75a99, 0x80b861c1, 0x4a4c3805, 0x1024c8b4, 0x704d760e, 0xe95e7cd3, 0xde1bfdb1, 0xce2c5a44),
+ SECP256K1_SCALAR_CONST(0x26c75a99, 0x80b861c1, 0x4a4c3805, 0x1024c8b4, 0x704d760e, 0xe95e7cd3, 0xde1bfdb1, 0xce2c5a45)
+};
+
+static void test_ecmult_target(const secp256k1_scalar* target, int mode) {
+ /* Mode: 0=ecmult_gen, 1=ecmult, 2=ecmult_const */
+ secp256k1_scalar n1, n2;
+ secp256k1_ge p;
+ secp256k1_gej pj, p1j, p2j, ptj;
+
+ /* Generate random n1,n2 such that n1+n2 = -target. */
+ testutil_random_scalar_order_test(&n1);
+ secp256k1_scalar_add(&n2, &n1, target);
+ secp256k1_scalar_negate(&n2, &n2);
+
+ /* Generate a random input point. */
+ if (mode != 0) {
+ testutil_random_ge_test(&p);
+ secp256k1_gej_set_ge(&pj, &p);
+ }
+
+ /* EC multiplications */
+ if (mode == 0) {
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &p1j, &n1);
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &p2j, &n2);
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &ptj, target);
+ } else if (mode == 1) {
+ secp256k1_ecmult(&p1j, &pj, &n1, &secp256k1_scalar_zero);
+ secp256k1_ecmult(&p2j, &pj, &n2, &secp256k1_scalar_zero);
+ secp256k1_ecmult(&ptj, &pj, target, &secp256k1_scalar_zero);
+ } else {
+ secp256k1_ecmult_const(&p1j, &p, &n1);
+ secp256k1_ecmult_const(&p2j, &p, &n2);
+ secp256k1_ecmult_const(&ptj, &p, target);
+ }
+
+ /* Add them all up: n1*P + n2*P + target*P = (n1+n2+target)*P = (n1+n1-n1-n2)*P = 0. */
+ secp256k1_gej_add_var(&ptj, &ptj, &p1j, NULL);
+ secp256k1_gej_add_var(&ptj, &ptj, &p2j, NULL);
+ CHECK(secp256k1_gej_is_infinity(&ptj));
+}
+
+static void run_ecmult_near_split_bound(void) {
+ int i;
+ unsigned j;
+ for (i = 0; i < 4*COUNT; ++i) {
+ for (j = 0; j < sizeof(scalars_near_split_bounds) / sizeof(scalars_near_split_bounds[0]); ++j) {
+ test_ecmult_target(&scalars_near_split_bounds[j], 0);
+ test_ecmult_target(&scalars_near_split_bounds[j], 1);
+ test_ecmult_target(&scalars_near_split_bounds[j], 2);
+ }
+ }
}
-void run_point_times_order(void) {
+static void run_point_times_order(void) {
int i;
secp256k1_fe x = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 2);
static const secp256k1_fe xr = SECP256K1_FE_CONST(
@@ -2363,16 +4399,15 @@ void run_point_times_order(void) {
secp256k1_gej j;
CHECK(secp256k1_ge_is_valid_var(&p));
secp256k1_gej_set_ge(&j, &p);
- CHECK(secp256k1_gej_is_valid_var(&j));
test_point_times_order(&j);
}
secp256k1_fe_sqr(&x, &x);
}
secp256k1_fe_normalize_var(&x);
- CHECK(secp256k1_fe_equal_var(&x, &xr));
+ CHECK(secp256k1_fe_equal(&x, &xr));
}
-void ecmult_const_random_mult(void) {
+static void ecmult_const_random_mult(void) {
/* random starting point A (on the curve) */
secp256k1_ge a = SECP256K1_GE_CONST(
0x6d986544, 0x57ff52b8, 0xcf1b8126, 0x5b802a5b,
@@ -2396,18 +4431,18 @@ void ecmult_const_random_mult(void) {
secp256k1_ecmult_const(&b, &a, &xn);
CHECK(secp256k1_ge_is_valid_var(&a));
- ge_equals_gej(&expected_b, &b);
+ CHECK(secp256k1_gej_eq_ge_var(&b, &expected_b));
}
-void ecmult_const_commutativity(void) {
+static void ecmult_const_commutativity(void) {
secp256k1_scalar a;
secp256k1_scalar b;
secp256k1_gej res1;
secp256k1_gej res2;
secp256k1_ge mid1;
secp256k1_ge mid2;
- random_scalar_order_test(&a);
- random_scalar_order_test(&b);
+ testutil_random_scalar_order_test(&a);
+ testutil_random_scalar_order_test(&b);
secp256k1_ecmult_const(&res1, &secp256k1_ge_const_g, &a);
secp256k1_ecmult_const(&res2, &secp256k1_ge_const_g, &b);
@@ -2417,32 +4452,134 @@ void ecmult_const_commutativity(void) {
secp256k1_ecmult_const(&res2, &mid2, &a);
secp256k1_ge_set_gej(&mid1, &res1);
secp256k1_ge_set_gej(&mid2, &res2);
- ge_equals_ge(&mid1, &mid2);
+ CHECK(secp256k1_ge_eq_var(&mid1, &mid2));
}
-void ecmult_const_mult_zero_one(void) {
- secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
- secp256k1_scalar one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1);
+static void ecmult_const_mult_zero_one(void) {
+ secp256k1_scalar s;
secp256k1_scalar negone;
secp256k1_gej res1;
secp256k1_ge res2;
secp256k1_ge point;
- secp256k1_scalar_negate(&negone, &one);
+ secp256k1_ge inf;
- random_group_element_test(&point);
- secp256k1_ecmult_const(&res1, &point, &zero);
- secp256k1_ge_set_gej(&res2, &res1);
- CHECK(secp256k1_ge_is_infinity(&res2));
- secp256k1_ecmult_const(&res1, &point, &one);
+ testutil_random_scalar_order_test(&s);
+ secp256k1_scalar_negate(&negone, &secp256k1_scalar_one);
+ testutil_random_ge_test(&point);
+ secp256k1_ge_set_infinity(&inf);
+
+ /* 0*point */
+ secp256k1_ecmult_const(&res1, &point, &secp256k1_scalar_zero);
+ CHECK(secp256k1_gej_is_infinity(&res1));
+
+ /* s*inf */
+ secp256k1_ecmult_const(&res1, &inf, &s);
+ CHECK(secp256k1_gej_is_infinity(&res1));
+
+ /* 1*point */
+ secp256k1_ecmult_const(&res1, &point, &secp256k1_scalar_one);
secp256k1_ge_set_gej(&res2, &res1);
- ge_equals_ge(&res2, &point);
+ CHECK(secp256k1_ge_eq_var(&res2, &point));
+
+ /* -1*point */
secp256k1_ecmult_const(&res1, &point, &negone);
secp256k1_gej_neg(&res1, &res1);
secp256k1_ge_set_gej(&res2, &res1);
- ge_equals_ge(&res2, &point);
+ CHECK(secp256k1_ge_eq_var(&res2, &point));
+}
+
+static void ecmult_const_check_result(const secp256k1_ge *A, const secp256k1_scalar* q, const secp256k1_gej *res) {
+ secp256k1_gej pointj, res2j;
+ secp256k1_ge res2;
+ secp256k1_gej_set_ge(&pointj, A);
+ secp256k1_ecmult(&res2j, &pointj, q, &secp256k1_scalar_zero);
+ secp256k1_ge_set_gej(&res2, &res2j);
+ CHECK(secp256k1_gej_eq_ge_var(res, &res2));
+}
+
+static void ecmult_const_edges(void) {
+ secp256k1_scalar q;
+ secp256k1_ge point;
+ secp256k1_gej res;
+ size_t i;
+ size_t cases = 1 + sizeof(scalars_near_split_bounds) / sizeof(scalars_near_split_bounds[0]);
+
+ /* We are trying to reach the following edge cases (variables are defined as
+ * in ecmult_const_impl.h):
+ * 1. i = 0: s = 0 <=> q = -K
+ * 2. i > 0: v1, v2 large values
+ * <=> s1, s2 large values
+ * <=> s = scalars_near_split_bounds[i]
+ * <=> q = 2*scalars_near_split_bounds[i] - K
+ */
+ for (i = 0; i < cases; ++i) {
+ secp256k1_scalar_negate(&q, &secp256k1_ecmult_const_K);
+ if (i > 0) {
+ secp256k1_scalar_add(&q, &q, &scalars_near_split_bounds[i - 1]);
+ secp256k1_scalar_add(&q, &q, &scalars_near_split_bounds[i - 1]);
+ }
+ testutil_random_ge_test(&point);
+ secp256k1_ecmult_const(&res, &point, &q);
+ ecmult_const_check_result(&point, &q, &res);
+ }
+}
+
+static void ecmult_const_mult_xonly(void) {
+ int i;
+
+ /* Test correspondence between secp256k1_ecmult_const and secp256k1_ecmult_const_xonly. */
+ for (i = 0; i < 2*COUNT; ++i) {
+ secp256k1_ge base;
+ secp256k1_gej basej, resj;
+ secp256k1_fe n, d, resx, v;
+ secp256k1_scalar q;
+ int res;
+ /* Random base point. */
+ testutil_random_ge_test(&base);
+ /* Random scalar to multiply it with. */
+ testutil_random_scalar_order_test(&q);
+ /* If i is odd, n=d*base.x for random non-zero d */
+ if (i & 1) {
+ testutil_random_fe_non_zero_test(&d);
+ secp256k1_fe_mul(&n, &base.x, &d);
+ } else {
+ n = base.x;
+ }
+ /* Perform x-only multiplication. */
+ res = secp256k1_ecmult_const_xonly(&resx, &n, (i & 1) ? &d : NULL, &q, i & 2);
+ CHECK(res);
+ /* Perform normal multiplication. */
+ secp256k1_gej_set_ge(&basej, &base);
+ secp256k1_ecmult(&resj, &basej, &q, NULL);
+ /* Check that resj's X coordinate corresponds with resx. */
+ secp256k1_fe_sqr(&v, &resj.z);
+ secp256k1_fe_mul(&v, &v, &resx);
+ CHECK(fe_equal(&v, &resj.x));
+ }
+
+ /* Test that secp256k1_ecmult_const_xonly correctly rejects X coordinates not on curve. */
+ for (i = 0; i < 2*COUNT; ++i) {
+ secp256k1_fe x, n, d, r;
+ int res;
+ secp256k1_scalar q;
+ testutil_random_scalar_order_test(&q);
+ /* Generate random X coordinate not on the curve. */
+ do {
+ testutil_random_fe_test(&x);
+ } while (secp256k1_ge_x_on_curve_var(&x));
+ /* If i is odd, n=d*x for random non-zero d. */
+ if (i & 1) {
+ testutil_random_fe_non_zero_test(&d);
+ secp256k1_fe_mul(&n, &x, &d);
+ } else {
+ n = x;
+ }
+ res = secp256k1_ecmult_const_xonly(&r, &n, (i & 1) ? &d : NULL, &q, 0);
+ CHECK(res == 0);
+ }
}
-void ecmult_const_chain_multiply(void) {
+static void ecmult_const_chain_multiply(void) {
/* Check known result (randomly generated test problem from sage) */
const secp256k1_scalar scalar = SECP256K1_SCALAR_CONST(
0x4968d524, 0x2abf9b7a, 0x466abbcf, 0x34b11b6d,
@@ -2465,17 +4602,639 @@ void ecmult_const_chain_multiply(void) {
secp256k1_ecmult_const(&point, &tmp, &scalar);
}
secp256k1_ge_set_gej(&res, &point);
- ge_equals_gej(&res, &expected_point);
+ CHECK(secp256k1_gej_eq_ge_var(&expected_point, &res));
}
-void run_ecmult_const_tests(void) {
+static void run_ecmult_const_tests(void) {
ecmult_const_mult_zero_one();
+ ecmult_const_edges();
ecmult_const_random_mult();
ecmult_const_commutativity();
ecmult_const_chain_multiply();
+ ecmult_const_mult_xonly();
+}
+
+typedef struct {
+ secp256k1_scalar *sc;
+ secp256k1_ge *pt;
+} ecmult_multi_data;
+
+static int ecmult_multi_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *cbdata) {
+ ecmult_multi_data *data = (ecmult_multi_data*) cbdata;
+ *sc = data->sc[idx];
+ *pt = data->pt[idx];
+ return 1;
+}
+
+static int ecmult_multi_false_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *cbdata) {
+ (void)sc;
+ (void)pt;
+ (void)idx;
+ (void)cbdata;
+ return 0;
+}
+
+static void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func ecmult_multi) {
+ int ncount;
+ secp256k1_scalar sc[32];
+ secp256k1_ge pt[32];
+ secp256k1_gej r;
+ secp256k1_gej r2;
+ ecmult_multi_data data;
+
+ data.sc = sc;
+ data.pt = pt;
+
+ /* No points to multiply */
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, NULL, ecmult_multi_callback, &data, 0));
+
+ /* Check 1- and 2-point multiplies against ecmult */
+ for (ncount = 0; ncount < COUNT; ncount++) {
+ secp256k1_ge ptg;
+ secp256k1_gej ptgj;
+ testutil_random_scalar_order(&sc[0]);
+ testutil_random_scalar_order(&sc[1]);
+
+ testutil_random_ge_test(&ptg);
+ secp256k1_gej_set_ge(&ptgj, &ptg);
+ pt[0] = ptg;
+ pt[1] = secp256k1_ge_const_g;
+
+ /* only G scalar */
+ secp256k1_ecmult(&r2, &ptgj, &secp256k1_scalar_zero, &sc[0]);
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0));
+ CHECK(secp256k1_gej_eq_var(&r, &r2));
+
+ /* 1-point */
+ secp256k1_ecmult(&r2, &ptgj, &sc[0], &secp256k1_scalar_zero);
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 1));
+ CHECK(secp256k1_gej_eq_var(&r, &r2));
+
+ /* Try to multiply 1 point, but callback returns false */
+ CHECK(!ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_false_callback, &data, 1));
+
+ /* 2-point */
+ secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]);
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 2));
+ CHECK(secp256k1_gej_eq_var(&r, &r2));
+
+ /* 2-point with G scalar */
+ secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]);
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &sc[1], ecmult_multi_callback, &data, 1));
+ CHECK(secp256k1_gej_eq_var(&r, &r2));
+ }
+
+ /* Check infinite outputs of various forms */
+ for (ncount = 0; ncount < COUNT; ncount++) {
+ secp256k1_ge ptg;
+ size_t i, j;
+ size_t sizes[] = { 2, 10, 32 };
+
+ for (j = 0; j < 3; j++) {
+ for (i = 0; i < 32; i++) {
+ testutil_random_scalar_order(&sc[i]);
+ secp256k1_ge_set_infinity(&pt[i]);
+ }
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j]));
+ CHECK(secp256k1_gej_is_infinity(&r));
+ }
+
+ for (j = 0; j < 3; j++) {
+ for (i = 0; i < 32; i++) {
+ testutil_random_ge_test(&ptg);
+ pt[i] = ptg;
+ secp256k1_scalar_set_int(&sc[i], 0);
+ }
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j]));
+ CHECK(secp256k1_gej_is_infinity(&r));
+ }
+
+ for (j = 0; j < 3; j++) {
+ testutil_random_ge_test(&ptg);
+ for (i = 0; i < 16; i++) {
+ testutil_random_scalar_order(&sc[2*i]);
+ secp256k1_scalar_negate(&sc[2*i + 1], &sc[2*i]);
+ pt[2 * i] = ptg;
+ pt[2 * i + 1] = ptg;
+ }
+
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j]));
+ CHECK(secp256k1_gej_is_infinity(&r));
+
+ testutil_random_scalar_order(&sc[0]);
+ for (i = 0; i < 16; i++) {
+ testutil_random_ge_test(&ptg);
+
+ sc[2*i] = sc[0];
+ sc[2*i+1] = sc[0];
+ pt[2 * i] = ptg;
+ secp256k1_ge_neg(&pt[2*i+1], &pt[2*i]);
+ }
+
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, sizes[j]));
+ CHECK(secp256k1_gej_is_infinity(&r));
+ }
+
+ testutil_random_ge_test(&ptg);
+ secp256k1_scalar_set_int(&sc[0], 0);
+ pt[0] = ptg;
+ for (i = 1; i < 32; i++) {
+ pt[i] = ptg;
+
+ testutil_random_scalar_order(&sc[i]);
+ secp256k1_scalar_add(&sc[0], &sc[0], &sc[i]);
+ secp256k1_scalar_negate(&sc[i], &sc[i]);
+ }
+
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 32));
+ CHECK(secp256k1_gej_is_infinity(&r));
+ }
+
+ /* Check random points, constant scalar */
+ for (ncount = 0; ncount < COUNT; ncount++) {
+ size_t i;
+ secp256k1_gej_set_infinity(&r);
+
+ testutil_random_scalar_order(&sc[0]);
+ for (i = 0; i < 20; i++) {
+ secp256k1_ge ptg;
+ sc[i] = sc[0];
+ testutil_random_ge_test(&ptg);
+ pt[i] = ptg;
+ secp256k1_gej_add_ge_var(&r, &r, &pt[i], NULL);
+ }
+
+ secp256k1_ecmult(&r2, &r, &sc[0], &secp256k1_scalar_zero);
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 20));
+ CHECK(secp256k1_gej_eq_var(&r, &r2));
+ }
+
+ /* Check random scalars, constant point */
+ for (ncount = 0; ncount < COUNT; ncount++) {
+ size_t i;
+ secp256k1_ge ptg;
+ secp256k1_gej p0j;
+ secp256k1_scalar rs;
+ secp256k1_scalar_set_int(&rs, 0);
+
+ testutil_random_ge_test(&ptg);
+ for (i = 0; i < 20; i++) {
+ testutil_random_scalar_order(&sc[i]);
+ pt[i] = ptg;
+ secp256k1_scalar_add(&rs, &rs, &sc[i]);
+ }
+
+ secp256k1_gej_set_ge(&p0j, &pt[0]);
+ secp256k1_ecmult(&r2, &p0j, &rs, &secp256k1_scalar_zero);
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 20));
+ CHECK(secp256k1_gej_eq_var(&r, &r2));
+ }
+
+ /* Sanity check that zero scalars don't cause problems */
+ for (ncount = 0; ncount < 20; ncount++) {
+ testutil_random_scalar_order(&sc[ncount]);
+ testutil_random_ge_test(&pt[ncount]);
+ }
+
+ secp256k1_scalar_set_int(&sc[0], 0);
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 20));
+ secp256k1_scalar_set_int(&sc[1], 0);
+ secp256k1_scalar_set_int(&sc[2], 0);
+ secp256k1_scalar_set_int(&sc[3], 0);
+ secp256k1_scalar_set_int(&sc[4], 0);
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 6));
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 5));
+ CHECK(secp256k1_gej_is_infinity(&r));
+
+ /* Run through s0*(t0*P) + s1*(t1*P) exhaustively for many small values of s0, s1, t0, t1 */
+ {
+ const size_t TOP = 8;
+ size_t s0i, s1i;
+ size_t t0i, t1i;
+ secp256k1_ge ptg;
+ secp256k1_gej ptgj;
+
+ testutil_random_ge_test(&ptg);
+ secp256k1_gej_set_ge(&ptgj, &ptg);
+
+ for(t0i = 0; t0i < TOP; t0i++) {
+ for(t1i = 0; t1i < TOP; t1i++) {
+ secp256k1_gej t0p, t1p;
+ secp256k1_scalar t0, t1;
+
+ secp256k1_scalar_set_int(&t0, (t0i + 1) / 2);
+ secp256k1_scalar_cond_negate(&t0, t0i & 1);
+ secp256k1_scalar_set_int(&t1, (t1i + 1) / 2);
+ secp256k1_scalar_cond_negate(&t1, t1i & 1);
+
+ secp256k1_ecmult(&t0p, &ptgj, &t0, &secp256k1_scalar_zero);
+ secp256k1_ecmult(&t1p, &ptgj, &t1, &secp256k1_scalar_zero);
+
+ for(s0i = 0; s0i < TOP; s0i++) {
+ for(s1i = 0; s1i < TOP; s1i++) {
+ secp256k1_scalar tmp1, tmp2;
+ secp256k1_gej expected, actual;
+
+ secp256k1_ge_set_gej(&pt[0], &t0p);
+ secp256k1_ge_set_gej(&pt[1], &t1p);
+
+ secp256k1_scalar_set_int(&sc[0], (s0i + 1) / 2);
+ secp256k1_scalar_cond_negate(&sc[0], s0i & 1);
+ secp256k1_scalar_set_int(&sc[1], (s1i + 1) / 2);
+ secp256k1_scalar_cond_negate(&sc[1], s1i & 1);
+
+ secp256k1_scalar_mul(&tmp1, &t0, &sc[0]);
+ secp256k1_scalar_mul(&tmp2, &t1, &sc[1]);
+ secp256k1_scalar_add(&tmp1, &tmp1, &tmp2);
+
+ secp256k1_ecmult(&expected, &ptgj, &tmp1, &secp256k1_scalar_zero);
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &actual, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 2));
+ CHECK(secp256k1_gej_eq_var(&actual, &expected));
+ }
+ }
+ }
+ }
+ }
+}
+
+static int test_ecmult_multi_random(secp256k1_scratch *scratch) {
+ /* Large random test for ecmult_multi_* functions which exercises:
+ * - Few or many inputs (0 up to 128, roughly exponentially distributed).
+ * - Few or many 0*P or a*INF inputs (roughly uniformly distributed).
+ * - Including or excluding an nonzero a*G term (or such a term at all).
+ * - Final expected result equal to infinity or not (roughly 50%).
+ * - ecmult_multi_var, ecmult_strauss_single_batch, ecmult_pippenger_single_batch
+ */
+
+ /* These 4 variables define the eventual input to the ecmult_multi function.
+ * g_scalar is the G scalar fed to it (or NULL, possibly, if g_scalar=0), and
+ * scalars[0..filled-1] and gejs[0..filled-1] are the scalars and points
+ * which form its normal inputs. */
+ int filled = 0;
+ secp256k1_scalar g_scalar = secp256k1_scalar_zero;
+ secp256k1_scalar scalars[128];
+ secp256k1_gej gejs[128];
+ /* The expected result, and the computed result. */
+ secp256k1_gej expected, computed;
+ /* Temporaries. */
+ secp256k1_scalar sc_tmp;
+ secp256k1_ge ge_tmp;
+ /* Variables needed for the actual input to ecmult_multi. */
+ secp256k1_ge ges[128];
+ ecmult_multi_data data;
+
+ int i;
+ /* Which multiplication function to use */
+ int fn = testrand_int(3);
+ secp256k1_ecmult_multi_func ecmult_multi = fn == 0 ? secp256k1_ecmult_multi_var :
+ fn == 1 ? secp256k1_ecmult_strauss_batch_single :
+ secp256k1_ecmult_pippenger_batch_single;
+ /* Simulate exponentially distributed num. */
+ int num_bits = 2 + testrand_int(6);
+ /* Number of (scalar, point) inputs (excluding g). */
+ int num = testrand_int((1 << num_bits) + 1);
+ /* Number of those which are nonzero. */
+ int num_nonzero = testrand_int(num + 1);
+ /* Whether we're aiming to create an input with nonzero expected result. */
+ int nonzero_result = testrand_bits(1);
+ /* Whether we will provide nonzero g multiplicand. In some cases our hand
+ * is forced here based on num_nonzero and nonzero_result. */
+ int g_nonzero = num_nonzero == 0 ? nonzero_result :
+ num_nonzero == 1 && !nonzero_result ? 1 :
+ (int)testrand_bits(1);
+ /* Which g_scalar pointer to pass into ecmult_multi(). */
+ const secp256k1_scalar* g_scalar_ptr = (g_nonzero || testrand_bits(1)) ? &g_scalar : NULL;
+ /* How many EC multiplications were performed in this function. */
+ int mults = 0;
+ /* How many randomization steps to apply to the input list. */
+ int rands = (int)testrand_bits(3);
+ if (rands > num_nonzero) rands = num_nonzero;
+
+ secp256k1_gej_set_infinity(&expected);
+ secp256k1_gej_set_infinity(&gejs[0]);
+ secp256k1_scalar_set_int(&scalars[0], 0);
+
+ if (g_nonzero) {
+ /* If g_nonzero, set g_scalar to nonzero value r. */
+ testutil_random_scalar_order_test(&g_scalar);
+ if (!nonzero_result) {
+ /* If expected=0 is desired, add a (a*r, -(1/a)*g) term to compensate. */
+ CHECK(num_nonzero > filled);
+ testutil_random_scalar_order_test(&sc_tmp);
+ secp256k1_scalar_mul(&scalars[filled], &sc_tmp, &g_scalar);
+ secp256k1_scalar_inverse_var(&sc_tmp, &sc_tmp);
+ secp256k1_scalar_negate(&sc_tmp, &sc_tmp);
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &gejs[filled], &sc_tmp);
+ ++filled;
+ ++mults;
+ }
+ }
+
+ if (nonzero_result && filled < num_nonzero) {
+ /* If a nonzero result is desired, and there is space, add a random nonzero term. */
+ testutil_random_scalar_order_test(&scalars[filled]);
+ testutil_random_ge_test(&ge_tmp);
+ secp256k1_gej_set_ge(&gejs[filled], &ge_tmp);
+ ++filled;
+ }
+
+ if (nonzero_result) {
+ /* Compute the expected result using normal ecmult. */
+ CHECK(filled <= 1);
+ secp256k1_ecmult(&expected, &gejs[0], &scalars[0], &g_scalar);
+ mults += filled + g_nonzero;
+ }
+
+ /* At this point we have expected = scalar_g*G + sum(scalars[i]*gejs[i] for i=0..filled-1). */
+ CHECK(filled <= 1 + !nonzero_result);
+ CHECK(filled <= num_nonzero);
+
+ /* Add entries to scalars,gejs so that there are num of them. All the added entries
+ * either have scalar=0 or point=infinity, so these do not change the expected result. */
+ while (filled < num) {
+ if (testrand_bits(1)) {
+ secp256k1_gej_set_infinity(&gejs[filled]);
+ testutil_random_scalar_order_test(&scalars[filled]);
+ } else {
+ secp256k1_scalar_set_int(&scalars[filled], 0);
+ testutil_random_ge_test(&ge_tmp);
+ secp256k1_gej_set_ge(&gejs[filled], &ge_tmp);
+ }
+ ++filled;
+ }
+
+ /* Now perform cheapish transformations on gejs and scalars, for indices
+ * 0..num_nonzero-1, which do not change the expected result, but may
+ * convert some of them to be both non-0-scalar and non-infinity-point. */
+ for (i = 0; i < rands; ++i) {
+ int j;
+ secp256k1_scalar v, iv;
+ /* Shuffle the entries. */
+ for (j = 0; j < num_nonzero; ++j) {
+ int k = testrand_int(num_nonzero - j);
+ if (k != 0) {
+ secp256k1_gej gej = gejs[j];
+ secp256k1_scalar sc = scalars[j];
+ gejs[j] = gejs[j + k];
+ scalars[j] = scalars[j + k];
+ gejs[j + k] = gej;
+ scalars[j + k] = sc;
+ }
+ }
+ /* Perturb all consecutive pairs of inputs:
+ * a*P + b*Q -> (a+b)*P + b*(Q-P). */
+ for (j = 0; j + 1 < num_nonzero; j += 2) {
+ secp256k1_gej gej;
+ secp256k1_scalar_add(&scalars[j], &scalars[j], &scalars[j+1]);
+ secp256k1_gej_neg(&gej, &gejs[j]);
+ secp256k1_gej_add_var(&gejs[j+1], &gejs[j+1], &gej, NULL);
+ }
+ /* Transform the last input: a*P -> (v*a) * ((1/v)*P). */
+ CHECK(num_nonzero >= 1);
+ testutil_random_scalar_order_test(&v);
+ secp256k1_scalar_inverse(&iv, &v);
+ secp256k1_scalar_mul(&scalars[num_nonzero - 1], &scalars[num_nonzero - 1], &v);
+ secp256k1_ecmult(&gejs[num_nonzero - 1], &gejs[num_nonzero - 1], &iv, NULL);
+ ++mults;
+ }
+
+ /* Shuffle all entries (0..num-1). */
+ for (i = 0; i < num; ++i) {
+ int j = testrand_int(num - i);
+ if (j != 0) {
+ secp256k1_gej gej = gejs[i];
+ secp256k1_scalar sc = scalars[i];
+ gejs[i] = gejs[i + j];
+ scalars[i] = scalars[i + j];
+ gejs[i + j] = gej;
+ scalars[i + j] = sc;
+ }
+ }
+
+ /* Compute affine versions of all inputs. */
+ secp256k1_ge_set_all_gej_var(ges, gejs, filled);
+ /* Invoke ecmult_multi code. */
+ data.sc = scalars;
+ data.pt = ges;
+ CHECK(ecmult_multi(&CTX->error_callback, scratch, &computed, g_scalar_ptr, ecmult_multi_callback, &data, filled));
+ mults += num_nonzero + g_nonzero;
+ /* Compare with expected result. */
+ CHECK(secp256k1_gej_eq_var(&computed, &expected));
+ return mults;
+}
+
+static void test_ecmult_multi_batch_single(secp256k1_ecmult_multi_func ecmult_multi) {
+ secp256k1_scalar sc;
+ secp256k1_ge pt;
+ secp256k1_gej r;
+ ecmult_multi_data data;
+ secp256k1_scratch *scratch_empty;
+
+ testutil_random_ge_test(&pt);
+ testutil_random_scalar_order(&sc);
+ data.sc = ≻
+ data.pt = &pt;
+
+ /* Try to multiply 1 point, but scratch space is empty.*/
+ scratch_empty = secp256k1_scratch_create(&CTX->error_callback, 0);
+ CHECK(!ecmult_multi(&CTX->error_callback, scratch_empty, &r, &secp256k1_scalar_zero, ecmult_multi_callback, &data, 1));
+ secp256k1_scratch_destroy(&CTX->error_callback, scratch_empty);
+}
+
+static void test_secp256k1_pippenger_bucket_window_inv(void) {
+ int i;
+
+ CHECK(secp256k1_pippenger_bucket_window_inv(0) == 0);
+ for(i = 1; i <= PIPPENGER_MAX_BUCKET_WINDOW; i++) {
+ /* Bucket_window of 8 is not used with endo */
+ if (i == 8) {
+ continue;
+ }
+ CHECK(secp256k1_pippenger_bucket_window(secp256k1_pippenger_bucket_window_inv(i)) == i);
+ if (i != PIPPENGER_MAX_BUCKET_WINDOW) {
+ CHECK(secp256k1_pippenger_bucket_window(secp256k1_pippenger_bucket_window_inv(i)+1) > i);
+ }
+ }
+}
+
+/**
+ * Probabilistically test the function returning the maximum number of possible points
+ * for a given scratch space.
+ */
+static void test_ecmult_multi_pippenger_max_points(void) {
+ size_t scratch_size = testrand_bits(8);
+ size_t max_size = secp256k1_pippenger_scratch_size(secp256k1_pippenger_bucket_window_inv(PIPPENGER_MAX_BUCKET_WINDOW-1)+512, 12);
+ secp256k1_scratch *scratch;
+ size_t n_points_supported;
+ int bucket_window = 0;
+
+ for(; scratch_size < max_size; scratch_size+=256) {
+ size_t i;
+ size_t total_alloc;
+ size_t checkpoint;
+ scratch = secp256k1_scratch_create(&CTX->error_callback, scratch_size);
+ CHECK(scratch != NULL);
+ checkpoint = secp256k1_scratch_checkpoint(&CTX->error_callback, scratch);
+ n_points_supported = secp256k1_pippenger_max_points(&CTX->error_callback, scratch);
+ if (n_points_supported == 0) {
+ secp256k1_scratch_destroy(&CTX->error_callback, scratch);
+ continue;
+ }
+ bucket_window = secp256k1_pippenger_bucket_window(n_points_supported);
+ /* allocate `total_alloc` bytes over `PIPPENGER_SCRATCH_OBJECTS` many allocations */
+ total_alloc = secp256k1_pippenger_scratch_size(n_points_supported, bucket_window);
+ for (i = 0; i < PIPPENGER_SCRATCH_OBJECTS - 1; i++) {
+ CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, 1));
+ total_alloc--;
+ }
+ CHECK(secp256k1_scratch_alloc(&CTX->error_callback, scratch, total_alloc));
+ secp256k1_scratch_apply_checkpoint(&CTX->error_callback, scratch, checkpoint);
+ secp256k1_scratch_destroy(&CTX->error_callback, scratch);
+ }
+ CHECK(bucket_window == PIPPENGER_MAX_BUCKET_WINDOW);
+}
+
+static void test_ecmult_multi_batch_size_helper(void) {
+ size_t n_batches, n_batch_points, max_n_batch_points, n;
+
+ max_n_batch_points = 0;
+ n = 1;
+ CHECK(secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, max_n_batch_points, n) == 0);
+
+ max_n_batch_points = 1;
+ n = 0;
+ CHECK(secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, max_n_batch_points, n) == 1);
+ CHECK(n_batches == 0);
+ CHECK(n_batch_points == 0);
+
+ max_n_batch_points = 2;
+ n = 5;
+ CHECK(secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, max_n_batch_points, n) == 1);
+ CHECK(n_batches == 3);
+ CHECK(n_batch_points == 2);
+
+ max_n_batch_points = ECMULT_MAX_POINTS_PER_BATCH;
+ n = ECMULT_MAX_POINTS_PER_BATCH;
+ CHECK(secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, max_n_batch_points, n) == 1);
+ CHECK(n_batches == 1);
+ CHECK(n_batch_points == ECMULT_MAX_POINTS_PER_BATCH);
+
+ max_n_batch_points = ECMULT_MAX_POINTS_PER_BATCH + 1;
+ n = ECMULT_MAX_POINTS_PER_BATCH + 1;
+ CHECK(secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, max_n_batch_points, n) == 1);
+ CHECK(n_batches == 2);
+ CHECK(n_batch_points == ECMULT_MAX_POINTS_PER_BATCH/2 + 1);
+
+ max_n_batch_points = 1;
+ n = SIZE_MAX;
+ CHECK(secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, max_n_batch_points, n) == 1);
+ CHECK(n_batches == SIZE_MAX);
+ CHECK(n_batch_points == 1);
+
+ max_n_batch_points = 2;
+ n = SIZE_MAX;
+ CHECK(secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, max_n_batch_points, n) == 1);
+ CHECK(n_batches == SIZE_MAX/2 + 1);
+ CHECK(n_batch_points == 2);
+}
+
+/**
+ * Run secp256k1_ecmult_multi_var with num points and a scratch space restricted to
+ * 1 <= i <= num points.
+ */
+static void test_ecmult_multi_batching(void) {
+ static const int n_points = 2*ECMULT_PIPPENGER_THRESHOLD;
+ secp256k1_scalar scG;
+ secp256k1_scalar *sc = (secp256k1_scalar *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_scalar) * n_points);
+ secp256k1_ge *pt = (secp256k1_ge *)checked_malloc(&CTX->error_callback, sizeof(secp256k1_ge) * n_points);
+ secp256k1_gej r;
+ secp256k1_gej r2;
+ ecmult_multi_data data;
+ int i;
+ secp256k1_scratch *scratch;
+
+ secp256k1_gej_set_infinity(&r2);
+
+ /* Get random scalars and group elements and compute result */
+ testutil_random_scalar_order(&scG);
+ secp256k1_ecmult(&r2, &r2, &secp256k1_scalar_zero, &scG);
+ for(i = 0; i < n_points; i++) {
+ secp256k1_ge ptg;
+ secp256k1_gej ptgj;
+ testutil_random_ge_test(&ptg);
+ secp256k1_gej_set_ge(&ptgj, &ptg);
+ pt[i] = ptg;
+ testutil_random_scalar_order(&sc[i]);
+ secp256k1_ecmult(&ptgj, &ptgj, &sc[i], NULL);
+ secp256k1_gej_add_var(&r2, &r2, &ptgj, NULL);
+ }
+ data.sc = sc;
+ data.pt = pt;
+ secp256k1_gej_neg(&r2, &r2);
+
+ /* Test with empty scratch space. It should compute the correct result using
+ * ecmult_mult_simple algorithm which doesn't require a scratch space. */
+ scratch = secp256k1_scratch_create(&CTX->error_callback, 0);
+ CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
+ secp256k1_gej_add_var(&r, &r, &r2, NULL);
+ CHECK(secp256k1_gej_is_infinity(&r));
+ secp256k1_scratch_destroy(&CTX->error_callback, scratch);
+
+ /* Test with space for 1 point in pippenger. That's not enough because
+ * ecmult_multi selects strauss which requires more memory. It should
+ * therefore select the simple algorithm. */
+ scratch = secp256k1_scratch_create(&CTX->error_callback, secp256k1_pippenger_scratch_size(1, 1) + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT);
+ CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
+ secp256k1_gej_add_var(&r, &r, &r2, NULL);
+ CHECK(secp256k1_gej_is_infinity(&r));
+ secp256k1_scratch_destroy(&CTX->error_callback, scratch);
+
+ for(i = 1; i <= n_points; i++) {
+ if (i > ECMULT_PIPPENGER_THRESHOLD) {
+ int bucket_window = secp256k1_pippenger_bucket_window(i);
+ size_t scratch_size = secp256k1_pippenger_scratch_size(i, bucket_window);
+ scratch = secp256k1_scratch_create(&CTX->error_callback, scratch_size + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT);
+ } else {
+ size_t scratch_size = secp256k1_strauss_scratch_size(i);
+ scratch = secp256k1_scratch_create(&CTX->error_callback, scratch_size + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT);
+ }
+ CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
+ secp256k1_gej_add_var(&r, &r, &r2, NULL);
+ CHECK(secp256k1_gej_is_infinity(&r));
+ secp256k1_scratch_destroy(&CTX->error_callback, scratch);
+ }
+ free(sc);
+ free(pt);
+}
+
+static void run_ecmult_multi_tests(void) {
+ secp256k1_scratch *scratch;
+ int64_t todo = (int64_t)320 * COUNT;
+
+ test_secp256k1_pippenger_bucket_window_inv();
+ test_ecmult_multi_pippenger_max_points();
+ scratch = secp256k1_scratch_create(&CTX->error_callback, 819200);
+ test_ecmult_multi(scratch, secp256k1_ecmult_multi_var);
+ test_ecmult_multi(NULL, secp256k1_ecmult_multi_var);
+ test_ecmult_multi(scratch, secp256k1_ecmult_pippenger_batch_single);
+ test_ecmult_multi_batch_single(secp256k1_ecmult_pippenger_batch_single);
+ test_ecmult_multi(scratch, secp256k1_ecmult_strauss_batch_single);
+ test_ecmult_multi_batch_single(secp256k1_ecmult_strauss_batch_single);
+ while (todo > 0) {
+ todo -= test_ecmult_multi_random(scratch);
+ }
+ secp256k1_scratch_destroy(&CTX->error_callback, scratch);
+
+ /* Run test_ecmult_multi with space for exactly one point */
+ scratch = secp256k1_scratch_create(&CTX->error_callback, secp256k1_strauss_scratch_size(1) + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT);
+ test_ecmult_multi(scratch, secp256k1_ecmult_multi_var);
+ secp256k1_scratch_destroy(&CTX->error_callback, scratch);
+
+ test_ecmult_multi_batch_size_helper();
+ test_ecmult_multi_batching();
}
-void test_wnaf(const secp256k1_scalar *number, int w) {
+static void test_wnaf(const secp256k1_scalar *number, int w) {
secp256k1_scalar x, two, t;
int wnaf[256];
int zeroes = -1;
@@ -2509,43 +5268,23 @@ void test_wnaf(const secp256k1_scalar *number, int w) {
CHECK(secp256k1_scalar_eq(&x, number)); /* check that wnaf represents number */
}
-void test_constant_wnaf_negate(const secp256k1_scalar *number) {
- secp256k1_scalar neg1 = *number;
- secp256k1_scalar neg2 = *number;
- int sign1 = 1;
- int sign2 = 1;
-
- if (!secp256k1_scalar_get_bits(&neg1, 0, 1)) {
- secp256k1_scalar_negate(&neg1, &neg1);
- sign1 = -1;
- }
- sign2 = secp256k1_scalar_cond_negate(&neg2, secp256k1_scalar_is_even(&neg2));
- CHECK(sign1 == sign2);
- CHECK(secp256k1_scalar_eq(&neg1, &neg2));
-}
-
-void test_constant_wnaf(const secp256k1_scalar *number, int w) {
+static void test_fixed_wnaf(const secp256k1_scalar *number, int w) {
secp256k1_scalar x, shift;
int wnaf[256] = {0};
int i;
int skew;
- secp256k1_scalar num = *number;
+ secp256k1_scalar num, unused;
secp256k1_scalar_set_int(&x, 0);
secp256k1_scalar_set_int(&shift, 1 << w);
- /* With USE_ENDOMORPHISM on we only consider 128-bit numbers */
-#ifdef USE_ENDOMORPHISM
- for (i = 0; i < 16; ++i) {
- secp256k1_scalar_shr_int(&num, 8);
- }
-#endif
- skew = secp256k1_wnaf_const(wnaf, num, w);
+ /* Make num a 128-bit scalar. */
+ secp256k1_scalar_split_128(&num, &unused, number);
+ skew = secp256k1_wnaf_fixed(wnaf, &num, w);
- for (i = WNAF_SIZE(w); i >= 0; --i) {
+ for (i = WNAF_SIZE(w)-1; i >= 0; --i) {
secp256k1_scalar t;
int v = wnaf[i];
- CHECK(v != 0); /* check nonzero */
- CHECK(v & 1); /* check parity */
+ CHECK(v == 0 || v & 1); /* check parity */
CHECK(v > -(1 << w)); /* check range above */
CHECK(v < (1 << w)); /* check range below */
@@ -2558,27 +5297,88 @@ void test_constant_wnaf(const secp256k1_scalar *number, int w) {
}
secp256k1_scalar_add(&x, &x, &t);
}
- /* Skew num because when encoding numbers as odd we use an offset */
- secp256k1_scalar_cadd_bit(&num, skew == 2, 1);
- CHECK(secp256k1_scalar_eq(&x, &num));
+ /* If skew is 1 then add 1 to num */
+ secp256k1_scalar_cadd_bit(&num, 0, skew == 1);
+ CHECK(secp256k1_scalar_eq(&x, &num));
+}
+
+/* Checks that the first 8 elements of wnaf are equal to wnaf_expected and the
+ * rest is 0.*/
+static void test_fixed_wnaf_small_helper(int *wnaf, int *wnaf_expected, int w) {
+ int i;
+ for (i = WNAF_SIZE(w)-1; i >= 8; --i) {
+ CHECK(wnaf[i] == 0);
+ }
+ for (i = 7; i >= 0; --i) {
+ CHECK(wnaf[i] == wnaf_expected[i]);
+ }
+}
+
+static void test_fixed_wnaf_small(void) {
+ int w = 4;
+ int wnaf[256] = {0};
+ int i;
+ int skew;
+ secp256k1_scalar num;
+
+ secp256k1_scalar_set_int(&num, 0);
+ skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+ for (i = WNAF_SIZE(w)-1; i >= 0; --i) {
+ int v = wnaf[i];
+ CHECK(v == 0);
+ }
+ CHECK(skew == 0);
+
+ secp256k1_scalar_set_int(&num, 1);
+ skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+ for (i = WNAF_SIZE(w)-1; i >= 1; --i) {
+ int v = wnaf[i];
+ CHECK(v == 0);
+ }
+ CHECK(wnaf[0] == 1);
+ CHECK(skew == 0);
+
+ {
+ int wnaf_expected[8] = { 0xf, 0xf, 0xf, 0xf, 0xf, 0xf, 0xf, 0xf };
+ secp256k1_scalar_set_int(&num, 0xffffffff);
+ skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+ test_fixed_wnaf_small_helper(wnaf, wnaf_expected, w);
+ CHECK(skew == 0);
+ }
+ {
+ int wnaf_expected[8] = { -1, -1, -1, -1, -1, -1, -1, 0xf };
+ secp256k1_scalar_set_int(&num, 0xeeeeeeee);
+ skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+ test_fixed_wnaf_small_helper(wnaf, wnaf_expected, w);
+ CHECK(skew == 1);
+ }
+ {
+ int wnaf_expected[8] = { 1, 0, 1, 0, 1, 0, 1, 0 };
+ secp256k1_scalar_set_int(&num, 0x01010101);
+ skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+ test_fixed_wnaf_small_helper(wnaf, wnaf_expected, w);
+ CHECK(skew == 0);
+ }
+ {
+ int wnaf_expected[8] = { -0xf, 0, 0xf, -0xf, 0, 0xf, 1, 0 };
+ secp256k1_scalar_set_int(&num, 0x01ef1ef1);
+ skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+ test_fixed_wnaf_small_helper(wnaf, wnaf_expected, w);
+ CHECK(skew == 0);
+ }
}
-void run_wnaf(void) {
+static void run_wnaf(void) {
int i;
- secp256k1_scalar n = {{0}};
-
- /* Sanity check: 1 and 2 are the smallest odd and even numbers and should
- * have easier-to-diagnose failure modes */
- n.d[0] = 1;
- test_constant_wnaf(&n, 4);
- n.d[0] = 2;
- test_constant_wnaf(&n, 4);
+ secp256k1_scalar n;
+
+ /* Test 0 for fixed wnaf */
+ test_fixed_wnaf_small();
/* Random tests */
- for (i = 0; i < count; i++) {
- random_scalar_order(&n);
+ for (i = 0; i < COUNT; i++) {
+ testutil_random_scalar_order(&n);
test_wnaf(&n, 4+(i%10));
- test_constant_wnaf_negate(&n);
- test_constant_wnaf(&n, 4 + (i % 10));
+ test_fixed_wnaf(&n, 4 + (i % 10));
}
secp256k1_scalar_set_int(&n, 0);
CHECK(secp256k1_scalar_cond_negate(&n, 1) == -1);
@@ -2587,96 +5387,243 @@ void run_wnaf(void) {
CHECK(secp256k1_scalar_is_zero(&n));
}
-void test_ecmult_constants(void) {
- /* Test ecmult_gen() for [0..36) and [order-36..0). */
- secp256k1_scalar x;
- secp256k1_gej r;
- secp256k1_ge ng;
- int i;
- int j;
- secp256k1_ge_neg(&ng, &secp256k1_ge_const_g);
- for (i = 0; i < 36; i++ ) {
- secp256k1_scalar_set_int(&x, i);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &r, &x);
- for (j = 0; j < i; j++) {
- if (j == i - 1) {
- ge_equals_gej(&secp256k1_ge_const_g, &r);
- }
- secp256k1_gej_add_ge(&r, &r, &ng);
- }
- CHECK(secp256k1_gej_is_infinity(&r));
+static int test_ecmult_accumulate_cb(secp256k1_scalar* sc, secp256k1_ge* pt, size_t idx, void* data) {
+ const secp256k1_scalar* indata = (const secp256k1_scalar*)data;
+ *sc = *indata;
+ *pt = secp256k1_ge_const_g;
+ CHECK(idx == 0);
+ return 1;
+}
+
+static void test_ecmult_accumulate(secp256k1_sha256* acc, const secp256k1_scalar* x, secp256k1_scratch* scratch) {
+ /* Compute x*G in 6 different ways, serialize it uncompressed, and feed it into acc. */
+ secp256k1_gej rj1, rj2, rj3, rj4, rj5, rj6, gj, infj;
+ secp256k1_ge r;
+ unsigned char bytes[65];
+ size_t size = 65;
+ secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g);
+ secp256k1_gej_set_infinity(&infj);
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &rj1, x);
+ secp256k1_ecmult(&rj2, &gj, x, &secp256k1_scalar_zero);
+ secp256k1_ecmult(&rj3, &infj, &secp256k1_scalar_zero, x);
+ CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &rj4, x, NULL, NULL, 0));
+ CHECK(secp256k1_ecmult_multi_var(&CTX->error_callback, scratch, &rj5, &secp256k1_scalar_zero, test_ecmult_accumulate_cb, (void*)x, 1));
+ secp256k1_ecmult_const(&rj6, &secp256k1_ge_const_g, x);
+ secp256k1_ge_set_gej_var(&r, &rj1);
+ CHECK(secp256k1_gej_eq_ge_var(&rj2, &r));
+ CHECK(secp256k1_gej_eq_ge_var(&rj3, &r));
+ CHECK(secp256k1_gej_eq_ge_var(&rj4, &r));
+ CHECK(secp256k1_gej_eq_ge_var(&rj5, &r));
+ CHECK(secp256k1_gej_eq_ge_var(&rj6, &r));
+ if (secp256k1_ge_is_infinity(&r)) {
+ /* Store infinity as 0x00 */
+ const unsigned char zerobyte[1] = {0};
+ secp256k1_sha256_write(acc, zerobyte, 1);
+ } else {
+ /* Store other points using their uncompressed serialization. */
+ secp256k1_eckey_pubkey_serialize(&r, bytes, &size, 0);
+ CHECK(size == 65);
+ secp256k1_sha256_write(acc, bytes, size);
}
- for (i = 1; i <= 36; i++ ) {
+}
+
+static void test_ecmult_constants_2bit(void) {
+ /* Using test_ecmult_accumulate, test ecmult for:
+ * - For i in 0..36:
+ * - Key i
+ * - Key -i
+ * - For i in 0..255:
+ * - For j in 1..255 (only odd values):
+ * - Key (j*2^i) mod order
+ */
+ secp256k1_scalar x;
+ secp256k1_sha256 acc;
+ unsigned char b32[32];
+ int i, j;
+ secp256k1_scratch_space *scratch = secp256k1_scratch_space_create(CTX, 65536);
+
+ /* Expected hash of all the computed points; created with an independent
+ * implementation. */
+ static const unsigned char expected32[32] = {
+ 0xe4, 0x71, 0x1b, 0x4d, 0x14, 0x1e, 0x68, 0x48,
+ 0xb7, 0xaf, 0x47, 0x2b, 0x4c, 0xd2, 0x04, 0x14,
+ 0x3a, 0x75, 0x87, 0x60, 0x1a, 0xf9, 0x63, 0x60,
+ 0xd0, 0xcb, 0x1f, 0xaa, 0x85, 0x9a, 0xb7, 0xb4
+ };
+ secp256k1_sha256_initialize(&acc);
+ for (i = 0; i <= 36; ++i) {
secp256k1_scalar_set_int(&x, i);
+ test_ecmult_accumulate(&acc, &x, scratch);
secp256k1_scalar_negate(&x, &x);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &r, &x);
- for (j = 0; j < i; j++) {
- if (j == i - 1) {
- ge_equals_gej(&ng, &r);
- }
- secp256k1_gej_add_ge(&r, &r, &secp256k1_ge_const_g);
+ test_ecmult_accumulate(&acc, &x, scratch);
+ };
+ for (i = 0; i < 256; ++i) {
+ for (j = 1; j < 256; j += 2) {
+ int k;
+ secp256k1_scalar_set_int(&x, j);
+ for (k = 0; k < i; ++k) secp256k1_scalar_add(&x, &x, &x);
+ test_ecmult_accumulate(&acc, &x, scratch);
}
- CHECK(secp256k1_gej_is_infinity(&r));
}
+ secp256k1_sha256_finalize(&acc, b32);
+ CHECK(secp256k1_memcmp_var(b32, expected32, 32) == 0);
+
+ secp256k1_scratch_space_destroy(CTX, scratch);
+}
+
+static void test_ecmult_constants_sha(uint32_t prefix, size_t iter, const unsigned char* expected32) {
+ /* Using test_ecmult_accumulate, test ecmult for:
+ * - Key 0
+ * - Key 1
+ * - Key -1
+ * - For i in range(iter):
+ * - Key SHA256(LE32(prefix) || LE16(i))
+ */
+ secp256k1_scalar x;
+ secp256k1_sha256 acc;
+ unsigned char b32[32];
+ unsigned char inp[6];
+ size_t i;
+ secp256k1_scratch_space *scratch = secp256k1_scratch_space_create(CTX, 65536);
+
+ inp[0] = prefix & 0xFF;
+ inp[1] = (prefix >> 8) & 0xFF;
+ inp[2] = (prefix >> 16) & 0xFF;
+ inp[3] = (prefix >> 24) & 0xFF;
+ secp256k1_sha256_initialize(&acc);
+ secp256k1_scalar_set_int(&x, 0);
+ test_ecmult_accumulate(&acc, &x, scratch);
+ secp256k1_scalar_set_int(&x, 1);
+ test_ecmult_accumulate(&acc, &x, scratch);
+ secp256k1_scalar_negate(&x, &x);
+ test_ecmult_accumulate(&acc, &x, scratch);
+
+ for (i = 0; i < iter; ++i) {
+ secp256k1_sha256 gen;
+ inp[4] = i & 0xff;
+ inp[5] = (i >> 8) & 0xff;
+ secp256k1_sha256_initialize(&gen);
+ secp256k1_sha256_write(&gen, inp, sizeof(inp));
+ secp256k1_sha256_finalize(&gen, b32);
+ secp256k1_scalar_set_b32(&x, b32, NULL);
+ test_ecmult_accumulate(&acc, &x, scratch);
+ }
+ secp256k1_sha256_finalize(&acc, b32);
+ CHECK(secp256k1_memcmp_var(b32, expected32, 32) == 0);
+
+ secp256k1_scratch_space_destroy(CTX, scratch);
}
-void run_ecmult_constants(void) {
- test_ecmult_constants();
+static void run_ecmult_constants(void) {
+ /* Expected hashes of all points in the tests below. Computed using an
+ * independent implementation. */
+ static const unsigned char expected32_6bit20[32] = {
+ 0x68, 0xb6, 0xed, 0x6f, 0x28, 0xca, 0xc9, 0x7f,
+ 0x8e, 0x8b, 0xd6, 0xc0, 0x61, 0x79, 0x34, 0x6e,
+ 0x5a, 0x8f, 0x2b, 0xbc, 0x3e, 0x1f, 0xc5, 0x2e,
+ 0x2a, 0xd0, 0x45, 0x67, 0x7f, 0x95, 0x95, 0x8e
+ };
+ static const unsigned char expected32_8bit8[32] = {
+ 0x8b, 0x65, 0x8e, 0xea, 0x86, 0xae, 0x3c, 0x95,
+ 0x90, 0xb6, 0x77, 0xa4, 0x8c, 0x76, 0xd9, 0xec,
+ 0xf5, 0xab, 0x8a, 0x2f, 0xfd, 0xdb, 0x19, 0x12,
+ 0x1a, 0xee, 0xe6, 0xb7, 0x6e, 0x05, 0x3f, 0xc6
+ };
+ /* For every combination of 6 bit positions out of 256, restricted to
+ * 20-bit windows (i.e., the first and last bit position are no more than
+ * 19 bits apart), all 64 bit patterns occur in the input scalars used in
+ * this test. */
+ CONDITIONAL_TEST(1, "test_ecmult_constants_sha 1024") {
+ test_ecmult_constants_sha(4808378u, 1024, expected32_6bit20);
+ }
+
+ /* For every combination of 8 consecutive bit positions, all 256 bit
+ * patterns occur in the input scalars used in this test. */
+ CONDITIONAL_TEST(3, "test_ecmult_constants_sha 2048") {
+ test_ecmult_constants_sha(1607366309u, 2048, expected32_8bit8);
+ }
+
+ CONDITIONAL_TEST(16, "test_ecmult_constants_2bit") {
+ test_ecmult_constants_2bit();
+ }
}
-void test_ecmult_gen_blind(void) {
+static void test_ecmult_gen_blind(void) {
/* Test ecmult_gen() blinding and confirm that the blinding changes, the affine points match, and the z's don't match. */
secp256k1_scalar key;
secp256k1_scalar b;
unsigned char seed32[32];
secp256k1_gej pgej;
secp256k1_gej pgej2;
- secp256k1_gej i;
+ secp256k1_ge p;
secp256k1_ge pge;
- random_scalar_order_test(&key);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pgej, &key);
- secp256k1_rand256(seed32);
- b = ctx->ecmult_gen_ctx.blind;
- i = ctx->ecmult_gen_ctx.initial;
- secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, seed32);
- CHECK(!secp256k1_scalar_eq(&b, &ctx->ecmult_gen_ctx.blind));
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pgej2, &key);
+ testutil_random_scalar_order_test(&key);
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &pgej, &key);
+ testrand256(seed32);
+ b = CTX->ecmult_gen_ctx.scalar_offset;
+ p = CTX->ecmult_gen_ctx.ge_offset;
+ secp256k1_ecmult_gen_blind(&CTX->ecmult_gen_ctx, seed32);
+ CHECK(!secp256k1_scalar_eq(&b, &CTX->ecmult_gen_ctx.scalar_offset));
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &pgej2, &key);
CHECK(!gej_xyz_equals_gej(&pgej, &pgej2));
- CHECK(!gej_xyz_equals_gej(&i, &ctx->ecmult_gen_ctx.initial));
+ CHECK(!secp256k1_ge_eq_var(&p, &CTX->ecmult_gen_ctx.ge_offset));
secp256k1_ge_set_gej(&pge, &pgej);
- ge_equals_gej(&pge, &pgej2);
+ CHECK(secp256k1_gej_eq_ge_var(&pgej2, &pge));
}
-void test_ecmult_gen_blind_reset(void) {
+static void test_ecmult_gen_blind_reset(void) {
/* Test ecmult_gen() blinding reset and confirm that the blinding is consistent. */
secp256k1_scalar b;
- secp256k1_gej initial;
- secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, 0);
- b = ctx->ecmult_gen_ctx.blind;
- initial = ctx->ecmult_gen_ctx.initial;
- secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, 0);
- CHECK(secp256k1_scalar_eq(&b, &ctx->ecmult_gen_ctx.blind));
- CHECK(gej_xyz_equals_gej(&initial, &ctx->ecmult_gen_ctx.initial));
+ secp256k1_ge p1, p2;
+ secp256k1_ecmult_gen_blind(&CTX->ecmult_gen_ctx, 0);
+ b = CTX->ecmult_gen_ctx.scalar_offset;
+ p1 = CTX->ecmult_gen_ctx.ge_offset;
+ secp256k1_ecmult_gen_blind(&CTX->ecmult_gen_ctx, 0);
+ CHECK(secp256k1_scalar_eq(&b, &CTX->ecmult_gen_ctx.scalar_offset));
+ p2 = CTX->ecmult_gen_ctx.ge_offset;
+ CHECK(secp256k1_ge_eq_var(&p1, &p2));
+}
+
+/* Verify that ecmult_gen for scalars gn for which gn + scalar_offset = {-1,0,1}. */
+static void test_ecmult_gen_edge_cases(void) {
+ int i;
+ secp256k1_gej res1, res2, res3;
+ secp256k1_scalar gn = secp256k1_scalar_one; /* gn = 1 */
+ secp256k1_scalar_add(&gn, &gn, &CTX->ecmult_gen_ctx.scalar_offset); /* gn = 1 + scalar_offset */
+ secp256k1_scalar_negate(&gn, &gn); /* gn = -1 - scalar_offset */
+
+ for (i = -1; i < 2; ++i) {
+ /* Run test with gn = i - scalar_offset (so that the ecmult_gen recoded value represents i). */
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &res1, &gn);
+ secp256k1_ecmult(&res2, NULL, &secp256k1_scalar_zero, &gn);
+ secp256k1_ecmult_const(&res3, &secp256k1_ge_const_g, &gn);
+ CHECK(secp256k1_gej_eq_var(&res1, &res2));
+ CHECK(secp256k1_gej_eq_var(&res1, &res3));
+ secp256k1_scalar_add(&gn, &gn, &secp256k1_scalar_one);
+ }
}
-void run_ecmult_gen_blind(void) {
+static void run_ecmult_gen_blind(void) {
int i;
test_ecmult_gen_blind_reset();
+ test_ecmult_gen_edge_cases();
for (i = 0; i < 10; i++) {
test_ecmult_gen_blind();
}
}
-#ifdef USE_ENDOMORPHISM
/***** ENDOMORPHISH TESTS *****/
-void test_scalar_split(void) {
- secp256k1_scalar full;
- secp256k1_scalar s1, slam;
+static void test_scalar_split(const secp256k1_scalar* full) {
+ secp256k1_scalar s, s1, slam;
const unsigned char zero[32] = {0};
unsigned char tmp[32];
- random_scalar_order_test(&full);
- secp256k1_scalar_split_lambda(&s1, &slam, &full);
+ secp256k1_scalar_split_lambda(&s1, &slam, full);
+
+ /* check slam*lambda + s1 == full */
+ secp256k1_scalar_mul(&s, &secp256k1_const_lambda, &slam);
+ secp256k1_scalar_add(&s, &s, &s1);
+ CHECK(secp256k1_scalar_eq(&s, full));
/* check that both are <= 128 bits in size */
if (secp256k1_scalar_is_high(&s1)) {
@@ -2687,29 +5634,44 @@ void test_scalar_split(void) {
}
secp256k1_scalar_get_b32(tmp, &s1);
- CHECK(memcmp(zero, tmp, 16) == 0);
+ CHECK(secp256k1_memcmp_var(zero, tmp, 16) == 0);
secp256k1_scalar_get_b32(tmp, &slam);
- CHECK(memcmp(zero, tmp, 16) == 0);
+ CHECK(secp256k1_memcmp_var(zero, tmp, 16) == 0);
}
-void run_endomorphism_tests(void) {
- test_scalar_split();
+
+static void run_endomorphism_tests(void) {
+ unsigned i;
+ static secp256k1_scalar s;
+ test_scalar_split(&secp256k1_scalar_zero);
+ test_scalar_split(&secp256k1_scalar_one);
+ secp256k1_scalar_negate(&s,&secp256k1_scalar_one);
+ test_scalar_split(&s);
+ test_scalar_split(&secp256k1_const_lambda);
+ secp256k1_scalar_add(&s, &secp256k1_const_lambda, &secp256k1_scalar_one);
+ test_scalar_split(&s);
+
+ for (i = 0; i < 100U * COUNT; ++i) {
+ secp256k1_scalar full;
+ testutil_random_scalar_order_test(&full);
+ test_scalar_split(&full);
+ }
+ for (i = 0; i < sizeof(scalars_near_split_bounds) / sizeof(scalars_near_split_bounds[0]); ++i) {
+ test_scalar_split(&scalars_near_split_bounds[i]);
+ }
}
-#endif
-void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, int yvalid) {
+static void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, int yvalid) {
unsigned char pubkeyc[65];
secp256k1_pubkey pubkey;
secp256k1_ge ge;
size_t pubkeyclen;
- int32_t ecount;
- ecount = 0;
- ethkit_secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount);
+
for (pubkeyclen = 3; pubkeyclen <= 65; pubkeyclen++) {
/* Smaller sizes are tested exhaustively elsewhere. */
int32_t i;
memcpy(&pubkeyc[1], input, 64);
- VG_UNDEF(&pubkeyc[pubkeyclen], 65 - pubkeyclen);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkeyc[pubkeyclen], 65 - pubkeyclen);
for (i = 0; i < 256; i++) {
/* Try all type bytes. */
int xpass;
@@ -2728,51 +5690,45 @@ void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, int yvali
unsigned char pubkeyo[65];
size_t outl;
memset(&pubkey, 0, sizeof(pubkey));
- VG_UNDEF(&pubkey, sizeof(pubkey));
- ecount = 0;
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 1);
- VG_CHECK(&pubkey, sizeof(pubkey));
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, pubkeyclen) == 1);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
outl = 65;
- VG_UNDEF(pubkeyo, 65);
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, pubkeyo, &outl, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
- VG_CHECK(pubkeyo, outl);
+ SECP256K1_CHECKMEM_UNDEFINE(pubkeyo, 65);
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, pubkeyo, &outl, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
+ SECP256K1_CHECKMEM_CHECK(pubkeyo, outl);
CHECK(outl == 33);
- CHECK(memcmp(&pubkeyo[1], &pubkeyc[1], 32) == 0);
+ CHECK(secp256k1_memcmp_var(&pubkeyo[1], &pubkeyc[1], 32) == 0);
CHECK((pubkeyclen != 33) || (pubkeyo[0] == pubkeyc[0]));
if (ypass) {
/* This test isn't always done because we decode with alternative signs, so the y won't match. */
CHECK(pubkeyo[0] == ysign);
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 1);
+ CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 1);
memset(&pubkey, 0, sizeof(pubkey));
- VG_UNDEF(&pubkey, sizeof(pubkey));
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
secp256k1_pubkey_save(&pubkey, &ge);
- VG_CHECK(&pubkey, sizeof(pubkey));
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
outl = 65;
- VG_UNDEF(pubkeyo, 65);
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, pubkeyo, &outl, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1);
- VG_CHECK(pubkeyo, outl);
+ SECP256K1_CHECKMEM_UNDEFINE(pubkeyo, 65);
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, pubkeyo, &outl, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1);
+ SECP256K1_CHECKMEM_CHECK(pubkeyo, outl);
CHECK(outl == 65);
CHECK(pubkeyo[0] == 4);
- CHECK(memcmp(&pubkeyo[1], input, 64) == 0);
+ CHECK(secp256k1_memcmp_var(&pubkeyo[1], input, 64) == 0);
}
- CHECK(ecount == 0);
} else {
/* These cases must fail to parse. */
memset(&pubkey, 0xfe, sizeof(pubkey));
- ecount = 0;
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ecount == 0);
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0);
- CHECK(ecount == 1);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, pubkeyclen) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey));
}
}
}
- ethkit_secp256k1_context_set_illegal_callback(ctx, NULL, NULL);
}
-void run_ec_pubkey_parse_test(void) {
+static void run_ec_pubkey_parse_test(void) {
#define SECP256K1_EC_PARSE_TEST_NVALID (12)
const unsigned char valid[SECP256K1_EC_PARSE_TEST_NVALID][64] = {
{
@@ -2952,141 +5908,99 @@ void run_ec_pubkey_parse_test(void) {
0xB8, 0x00
};
unsigned char sout[65];
- unsigned char shortkey[2];
+ unsigned char shortkey[2] = { 0 };
secp256k1_ge ge;
secp256k1_pubkey pubkey;
size_t len;
int32_t i;
- int32_t ecount;
- int32_t ecount2;
- ecount = 0;
+
/* Nothing should be reading this far into pubkeyc. */
- VG_UNDEF(&pubkeyc[65], 1);
- ethkit_secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkeyc[65], 1);
/* Zero length claimed, fail, zeroize, no illegal arg error. */
memset(&pubkey, 0xfe, sizeof(pubkey));
- ecount = 0;
- VG_UNDEF(shortkey, 2);
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 0) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ecount == 0);
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0);
- CHECK(ecount == 1);
+ SECP256K1_CHECKMEM_UNDEFINE(shortkey, 2);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, shortkey, 0) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey));
/* Length one claimed, fail, zeroize, no illegal arg error. */
for (i = 0; i < 256 ; i++) {
memset(&pubkey, 0xfe, sizeof(pubkey));
- ecount = 0;
shortkey[0] = i;
- VG_UNDEF(&shortkey[1], 1);
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 1) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ecount == 0);
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0);
- CHECK(ecount == 1);
+ SECP256K1_CHECKMEM_UNDEFINE(&shortkey[1], 1);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, shortkey, 1) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey));
}
/* Length two claimed, fail, zeroize, no illegal arg error. */
for (i = 0; i < 65536 ; i++) {
memset(&pubkey, 0xfe, sizeof(pubkey));
- ecount = 0;
shortkey[0] = i & 255;
shortkey[1] = i >> 8;
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 2) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ecount == 0);
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0);
- CHECK(ecount == 1);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, shortkey, 2) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey));
}
memset(&pubkey, 0xfe, sizeof(pubkey));
- ecount = 0;
- VG_UNDEF(&pubkey, sizeof(pubkey));
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
/* 33 bytes claimed on otherwise valid input starting with 0x04, fail, zeroize output, no illegal arg error. */
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 33) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ecount == 0);
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0);
- CHECK(ecount == 1);
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 33) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey));
/* NULL pubkey, illegal arg error. Pubkey isn't rewritten before this step, since it's NULL into the parser. */
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, NULL, pubkeyc, 65) == 0);
- CHECK(ecount == 2);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_parse(CTX, NULL, pubkeyc, 65));
/* NULL input string. Illegal arg and zeroize output. */
memset(&pubkey, 0xfe, sizeof(pubkey));
- ecount = 0;
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, NULL, 65) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ecount == 1);
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0);
- CHECK(ecount == 2);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_parse(CTX, &pubkey, NULL, 65));
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey));
/* 64 bytes claimed on input starting with 0x04, fail, zeroize output, no illegal arg error. */
memset(&pubkey, 0xfe, sizeof(pubkey));
- ecount = 0;
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 64) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ecount == 0);
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0);
- CHECK(ecount == 1);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 64) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey));
/* 66 bytes claimed, fail, zeroize output, no illegal arg error. */
memset(&pubkey, 0xfe, sizeof(pubkey));
- ecount = 0;
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 66) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ecount == 0);
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0);
- CHECK(ecount == 1);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 66) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_pubkey_load(CTX, &ge, &pubkey));
/* Valid parse. */
memset(&pubkey, 0, sizeof(pubkey));
- ecount = 0;
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 65) == 1);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(ecount == 0);
- VG_UNDEF(&ge, sizeof(ge));
- CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 1);
- VG_CHECK(&ge.x, sizeof(ge.x));
- VG_CHECK(&ge.y, sizeof(ge.y));
- VG_CHECK(&ge.infinity, sizeof(ge.infinity));
- ge_equals_ge(&secp256k1_ge_const_g, &ge);
- CHECK(ecount == 0);
- /* ethkit_secp256k1_ec_pubkey_serialize illegal args. */
- ecount = 0;
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, 65) == 1);
+ CHECK(secp256k1_ec_pubkey_parse(secp256k1_context_static, &pubkey, pubkeyc, 65) == 1);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ SECP256K1_CHECKMEM_UNDEFINE(&ge, sizeof(ge));
+ CHECK(secp256k1_pubkey_load(CTX, &ge, &pubkey) == 1);
+ SECP256K1_CHECKMEM_CHECK(&ge.x, sizeof(ge.x));
+ SECP256K1_CHECKMEM_CHECK(&ge.y, sizeof(ge.y));
+ SECP256K1_CHECKMEM_CHECK(&ge.infinity, sizeof(ge.infinity));
+ CHECK(secp256k1_ge_eq_var(&ge, &secp256k1_ge_const_g));
+ /* secp256k1_ec_pubkey_serialize illegal args. */
len = 65;
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, NULL, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0);
- CHECK(ecount == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, NULL, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED));
CHECK(len == 0);
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, sout, NULL, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0);
- CHECK(ecount == 2);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, sout, NULL, &pubkey, SECP256K1_EC_UNCOMPRESSED));
len = 65;
- VG_UNDEF(sout, 65);
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, sout, &len, NULL, SECP256K1_EC_UNCOMPRESSED) == 0);
- VG_CHECK(sout, 65);
- CHECK(ecount == 3);
+ SECP256K1_CHECKMEM_UNDEFINE(sout, 65);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, sout, &len, NULL, SECP256K1_EC_UNCOMPRESSED));
+ SECP256K1_CHECKMEM_CHECK(sout, 65);
CHECK(len == 0);
len = 65;
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, sout, &len, &pubkey, ~0) == 0);
- CHECK(ecount == 4);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_serialize(CTX, sout, &len, &pubkey, ~0));
CHECK(len == 0);
len = 65;
- VG_UNDEF(sout, 65);
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, sout, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1);
- VG_CHECK(sout, 65);
- CHECK(ecount == 4);
+ SECP256K1_CHECKMEM_UNDEFINE(sout, 65);
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, sout, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1);
+ SECP256K1_CHECKMEM_CHECK(sout, 65);
CHECK(len == 65);
/* Multiple illegal args. Should still set arg error only once. */
- ecount = 0;
- ecount2 = 11;
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, NULL, NULL, 65) == 0);
- CHECK(ecount == 1);
- /* Does the illegal arg callback actually change the behavior? */
- ethkit_secp256k1_context_set_illegal_callback(ctx, uncounting_illegal_callback_fn, &ecount2);
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, NULL, NULL, 65) == 0);
- CHECK(ecount == 1);
- CHECK(ecount2 == 10);
- ethkit_secp256k1_context_set_illegal_callback(ctx, NULL, NULL);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_parse(CTX, NULL, NULL, 65));
/* Try a bunch of prefabbed points with all possible encodings. */
for (i = 0; i < SECP256K1_EC_PARSE_TEST_NVALID; i++) {
ec_pubkey_parse_pointtest(valid[i], 1, 1);
@@ -3099,7 +6013,7 @@ void run_ec_pubkey_parse_test(void) {
}
}
-void run_eckey_edge_case_test(void) {
+static void run_eckey_edge_case_test(void) {
const unsigned char orderc[32] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
@@ -3115,259 +6029,284 @@ void run_eckey_edge_case_test(void) {
secp256k1_pubkey pubkey_negone;
const secp256k1_pubkey *pubkeys[3];
size_t len;
- int32_t ecount;
/* Group order is too large, reject. */
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, orderc) == 0);
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, orderc) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
+ CHECK(secp256k1_ec_seckey_verify(CTX, orderc) == 0);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, orderc) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
/* Maximum value is too large, reject. */
memset(ctmp, 255, 32);
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, ctmp) == 0);
+ CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 0);
memset(&pubkey, 1, sizeof(pubkey));
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
/* Zero is too small, reject. */
memset(ctmp, 0, 32);
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, ctmp) == 0);
+ CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 0);
memset(&pubkey, 1, sizeof(pubkey));
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
/* One must be accepted. */
ctmp[31] = 0x01;
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, ctmp) == 1);
+ CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 1);
memset(&pubkey, 0, sizeof(pubkey));
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 1);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 1);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
pubkey_one = pubkey;
/* Group order + 1 is too large, reject. */
memcpy(ctmp, orderc, 32);
ctmp[31] = 0x42;
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, ctmp) == 0);
+ CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 0);
memset(&pubkey, 1, sizeof(pubkey));
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
/* -1 must be accepted. */
ctmp[31] = 0x40;
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, ctmp) == 1);
+ CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 1);
memset(&pubkey, 0, sizeof(pubkey));
- VG_UNDEF(&pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 1);
- VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, ctmp) == 1);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
pubkey_negone = pubkey;
- /* Tweak of zero leaves the value changed. */
+ /* Tweak of zero leaves the value unchanged. */
memset(ctmp2, 0, 32);
- CHECK(ethkit_secp256k1_ec_privkey_tweak_add(ctx, ctmp, ctmp2) == 1);
- CHECK(memcmp(orderc, ctmp, 31) == 0 && ctmp[31] == 0x40);
+ CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp, ctmp2) == 1);
+ CHECK(secp256k1_memcmp_var(orderc, ctmp, 31) == 0 && ctmp[31] == 0x40);
memcpy(&pubkey2, &pubkey, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1);
- CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
+ CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2) == 1);
+ CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
/* Multiply tweak of zero zeroizes the output. */
- CHECK(ethkit_secp256k1_ec_privkey_tweak_mul(ctx, ctmp, ctmp2) == 0);
- CHECK(memcmp(zeros, ctmp, 32) == 0);
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, ctmp2) == 0);
- CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0);
+ CHECK(secp256k1_ec_seckey_tweak_mul(CTX, ctmp, ctmp2) == 0);
+ CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0);
+ CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, ctmp2) == 0);
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0);
memcpy(&pubkey, &pubkey2, sizeof(pubkey));
- /* Overflowing key tweak zeroizes. */
+ /* If seckey_tweak_add or seckey_tweak_mul are called with an overflowing
+ seckey, the seckey is zeroized. */
+ memcpy(ctmp, orderc, 32);
+ memset(ctmp2, 0, 32);
+ ctmp2[31] = 0x01;
+ CHECK(secp256k1_ec_seckey_verify(CTX, ctmp2) == 1);
+ CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 0);
+ CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp, ctmp2) == 0);
+ CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0);
+ memcpy(ctmp, orderc, 32);
+ CHECK(secp256k1_ec_seckey_tweak_mul(CTX, ctmp, ctmp2) == 0);
+ CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0);
+ /* If seckey_tweak_add or seckey_tweak_mul are called with an overflowing
+ tweak, the seckey is zeroized. */
memcpy(ctmp, orderc, 32);
ctmp[31] = 0x40;
- CHECK(ethkit_secp256k1_ec_privkey_tweak_add(ctx, ctmp, orderc) == 0);
- CHECK(memcmp(zeros, ctmp, 32) == 0);
+ CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp, orderc) == 0);
+ CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0);
memcpy(ctmp, orderc, 32);
ctmp[31] = 0x40;
- CHECK(ethkit_secp256k1_ec_privkey_tweak_mul(ctx, ctmp, orderc) == 0);
- CHECK(memcmp(zeros, ctmp, 32) == 0);
+ CHECK(secp256k1_ec_seckey_tweak_mul(CTX, ctmp, orderc) == 0);
+ CHECK(secp256k1_memcmp_var(zeros, ctmp, 32) == 0);
memcpy(ctmp, orderc, 32);
ctmp[31] = 0x40;
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, orderc) == 0);
- CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0);
+ /* If pubkey_tweak_add or pubkey_tweak_mul are called with an overflowing
+ tweak, the pubkey is zeroized. */
+ CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, orderc) == 0);
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0);
memcpy(&pubkey, &pubkey2, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, orderc) == 0);
- CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0);
+ CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, orderc) == 0);
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0);
memcpy(&pubkey, &pubkey2, sizeof(pubkey));
- /* Private key tweaks results in a key of zero. */
+ /* If the resulting key in secp256k1_ec_seckey_tweak_add and
+ * secp256k1_ec_pubkey_tweak_add is 0 the functions fail and in the latter
+ * case the pubkey is zeroized. */
+ memcpy(ctmp, orderc, 32);
+ ctmp[31] = 0x40;
+ memset(ctmp2, 0, 32);
ctmp2[31] = 1;
- CHECK(ethkit_secp256k1_ec_privkey_tweak_add(ctx, ctmp2, ctmp) == 0);
- CHECK(memcmp(zeros, ctmp2, 32) == 0);
+ CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp2, ctmp) == 0);
+ CHECK(secp256k1_memcmp_var(zeros, ctmp2, 32) == 0);
ctmp2[31] = 1;
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 0);
- CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0);
+ CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2) == 0);
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0);
memcpy(&pubkey, &pubkey2, sizeof(pubkey));
/* Tweak computation wraps and results in a key of 1. */
ctmp2[31] = 2;
- CHECK(ethkit_secp256k1_ec_privkey_tweak_add(ctx, ctmp2, ctmp) == 1);
- CHECK(memcmp(ctmp2, zeros, 31) == 0 && ctmp2[31] == 1);
+ CHECK(secp256k1_ec_seckey_tweak_add(CTX, ctmp2, ctmp) == 1);
+ CHECK(secp256k1_memcmp_var(ctmp2, zeros, 31) == 0 && ctmp2[31] == 1);
ctmp2[31] = 2;
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1);
+ CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2) == 1);
ctmp2[31] = 1;
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey2, ctmp2) == 1);
- CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey2, ctmp2) == 1);
+ CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
/* Tweak mul * 2 = 1+1. */
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1);
+ CHECK(secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2) == 1);
ctmp2[31] = 2;
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey2, ctmp2) == 1);
- CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
- /* Test argument errors. */
- ecount = 0;
- ethkit_secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount);
- CHECK(ecount == 0);
+ CHECK(secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey2, ctmp2) == 1);
+ CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
/* Zeroize pubkey on parse error. */
memset(&pubkey, 0, 32);
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 0);
- CHECK(ecount == 1);
- CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, ctmp2));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(pubkey)) == 0);
memcpy(&pubkey, &pubkey2, sizeof(pubkey));
memset(&pubkey2, 0, 32);
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey2, ctmp2) == 0);
- CHECK(ecount == 2);
- CHECK(memcmp(&pubkey2, zeros, sizeof(pubkey2)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey2, ctmp2));
+ CHECK(secp256k1_memcmp_var(&pubkey2, zeros, sizeof(pubkey2)) == 0);
/* Plain argument errors. */
- ecount = 0;
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, ctmp) == 1);
- CHECK(ecount == 0);
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, NULL) == 0);
- CHECK(ecount == 1);
- ecount = 0;
+ CHECK(secp256k1_ec_seckey_verify(CTX, ctmp) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_verify(CTX, NULL));
memset(ctmp2, 0, 32);
ctmp2[31] = 4;
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(ctx, NULL, ctmp2) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, NULL) == 0);
- CHECK(ecount == 2);
- ecount = 0;
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_add(CTX, NULL, ctmp2));
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, NULL));
memset(ctmp2, 0, 32);
ctmp2[31] = 4;
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_mul(ctx, NULL, ctmp2) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, NULL) == 0);
- CHECK(ecount == 2);
- ecount = 0;
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_mul(CTX, NULL, ctmp2));
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, NULL));
memset(ctmp2, 0, 32);
- CHECK(ethkit_secp256k1_ec_privkey_tweak_add(ctx, NULL, ctmp2) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ec_privkey_tweak_add(ctx, ctmp, NULL) == 0);
- CHECK(ecount == 2);
- ecount = 0;
+ CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_add(CTX, NULL, ctmp2));
+ CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_add(CTX, ctmp, NULL));
memset(ctmp2, 0, 32);
ctmp2[31] = 1;
- CHECK(ethkit_secp256k1_ec_privkey_tweak_mul(ctx, NULL, ctmp2) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ec_privkey_tweak_mul(ctx, ctmp, NULL) == 0);
- CHECK(ecount == 2);
- ecount = 0;
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, NULL, ctmp) == 0);
- CHECK(ecount == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_mul(CTX, NULL, ctmp2));
+ CHECK_ILLEGAL(CTX, secp256k1_ec_seckey_tweak_mul(CTX, ctmp, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_create(CTX, NULL, ctmp));
memset(&pubkey, 1, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, NULL) == 0);
- CHECK(ecount == 2);
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
- /* ethkit_secp256k1_ec_pubkey_combine tests. */
- ecount = 0;
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_create(CTX, &pubkey, NULL));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
+ /* secp256k1_ec_pubkey_combine tests. */
pubkeys[0] = &pubkey_one;
- VG_UNDEF(&pubkeys[0], sizeof(secp256k1_pubkey *));
- VG_UNDEF(&pubkeys[1], sizeof(secp256k1_pubkey *));
- VG_UNDEF(&pubkeys[2], sizeof(secp256k1_pubkey *));
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkeys[0], sizeof(secp256k1_pubkey *));
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkeys[1], sizeof(secp256k1_pubkey *));
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkeys[2], sizeof(secp256k1_pubkey *));
memset(&pubkey, 255, sizeof(secp256k1_pubkey));
- VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 0) == 0);
- VG_CHECK(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_combine(ctx, NULL, pubkeys, 1) == 0);
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
- CHECK(ecount == 2);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 0));
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, NULL, pubkeys, 1));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
memset(&pubkey, 255, sizeof(secp256k1_pubkey));
- VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_combine(ctx, &pubkey, NULL, 1) == 0);
- VG_CHECK(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
- CHECK(ecount == 3);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_combine(CTX, &pubkey, NULL, 1));
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
pubkeys[0] = &pubkey_negone;
memset(&pubkey, 255, sizeof(secp256k1_pubkey));
- VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 1) == 1);
- VG_CHECK(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
- CHECK(ecount == 3);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 1) == 1);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
len = 33;
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, ctmp2, &len, &pubkey_negone, SECP256K1_EC_COMPRESSED) == 1);
- CHECK(memcmp(ctmp, ctmp2, 33) == 0);
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp2, &len, &pubkey_negone, SECP256K1_EC_COMPRESSED) == 1);
+ CHECK(secp256k1_memcmp_var(ctmp, ctmp2, 33) == 0);
/* Result is infinity. */
pubkeys[0] = &pubkey_one;
pubkeys[1] = &pubkey_negone;
memset(&pubkey, 255, sizeof(secp256k1_pubkey));
- VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 2) == 0);
- VG_CHECK(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
- CHECK(ecount == 3);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 2) == 0);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0);
/* Passes through infinity but comes out one. */
pubkeys[2] = &pubkey_one;
memset(&pubkey, 255, sizeof(secp256k1_pubkey));
- VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 3) == 1);
- VG_CHECK(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
- CHECK(ecount == 3);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 3) == 1);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
len = 33;
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, ctmp2, &len, &pubkey_one, SECP256K1_EC_COMPRESSED) == 1);
- CHECK(memcmp(ctmp, ctmp2, 33) == 0);
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, ctmp2, &len, &pubkey_one, SECP256K1_EC_COMPRESSED) == 1);
+ CHECK(secp256k1_memcmp_var(ctmp, ctmp2, 33) == 0);
/* Adds to two. */
pubkeys[1] = &pubkey_one;
memset(&pubkey, 255, sizeof(secp256k1_pubkey));
- VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 2) == 1);
- VG_CHECK(&pubkey, sizeof(secp256k1_pubkey));
- CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
- CHECK(ecount == 3);
- ethkit_secp256k1_context_set_illegal_callback(ctx, NULL, NULL);
+ SECP256K1_CHECKMEM_UNDEFINE(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_ec_pubkey_combine(CTX, &pubkey, pubkeys, 2) == 1);
+ SECP256K1_CHECKMEM_CHECK(&pubkey, sizeof(secp256k1_pubkey));
+ CHECK(secp256k1_memcmp_var(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
+}
+
+static void run_eckey_negate_test(void) {
+ unsigned char seckey[32];
+ unsigned char seckey_tmp[32];
+
+ testutil_random_scalar_order_b32(seckey);
+ memcpy(seckey_tmp, seckey, 32);
+
+ /* Verify negation changes the key and changes it back */
+ CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 1);
+ CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) != 0);
+ CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 1);
+ CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0);
+
+ /* Check that privkey alias gives same result */
+ CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 1);
+ CHECK(secp256k1_ec_privkey_negate(CTX, seckey_tmp) == 1);
+ CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0);
+
+ /* Negating all 0s fails */
+ memset(seckey, 0, 32);
+ memset(seckey_tmp, 0, 32);
+ CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 0);
+ /* Check that seckey is not modified */
+ CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0);
+
+ /* Negating an overflowing seckey fails and the seckey is zeroed. In this
+ * test, the seckey has 16 random bytes to ensure that ec_seckey_negate
+ * doesn't just set seckey to a constant value in case of failure. */
+ testutil_random_scalar_order_b32(seckey);
+ memset(seckey, 0xFF, 16);
+ memset(seckey_tmp, 0, 32);
+ CHECK(secp256k1_ec_seckey_negate(CTX, seckey) == 0);
+ CHECK(secp256k1_memcmp_var(seckey, seckey_tmp, 32) == 0);
}
-void random_sign(secp256k1_scalar *sigr, secp256k1_scalar *sigs, const secp256k1_scalar *key, const secp256k1_scalar *msg, int *recid) {
+static void random_sign(secp256k1_scalar *sigr, secp256k1_scalar *sigs, const secp256k1_scalar *key, const secp256k1_scalar *msg, int *recid) {
secp256k1_scalar nonce;
do {
- random_scalar_order_test(&nonce);
- } while(!secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, sigr, sigs, key, msg, &nonce, recid));
+ testutil_random_scalar_order_test(&nonce);
+ } while(!secp256k1_ecdsa_sig_sign(&CTX->ecmult_gen_ctx, sigr, sigs, key, msg, &nonce, recid));
}
-void test_ecdsa_sign_verify(void) {
+static void test_ecdsa_sign_verify(void) {
secp256k1_gej pubj;
secp256k1_ge pub;
secp256k1_scalar one;
secp256k1_scalar msg, key;
secp256k1_scalar sigr, sigs;
- int recid;
int getrec;
- random_scalar_order_test(&msg);
- random_scalar_order_test(&key);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubj, &key);
+ int recid;
+ testutil_random_scalar_order_test(&msg);
+ testutil_random_scalar_order_test(&key);
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &pubj, &key);
secp256k1_ge_set_gej(&pub, &pubj);
- getrec = secp256k1_rand_bits(1);
- random_sign(&sigr, &sigs, &key, &msg, getrec?&recid:NULL);
+ getrec = testrand_bits(1);
+ /* The specific way in which this conditional is written sidesteps a potential bug in clang.
+ See the commit messages of the commit that introduced this comment for details. */
if (getrec) {
+ random_sign(&sigr, &sigs, &key, &msg, &recid);
CHECK(recid >= 0 && recid < 4);
+ } else {
+ random_sign(&sigr, &sigs, &key, &msg, NULL);
}
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg));
+ CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg));
secp256k1_scalar_set_int(&one, 1);
secp256k1_scalar_add(&msg, &msg, &one);
- CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg));
+ CHECK(!secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg));
}
-void run_ecdsa_sign_verify(void) {
+static void run_ecdsa_sign_verify(void) {
int i;
- for (i = 0; i < 10*count; i++) {
+ for (i = 0; i < 10*COUNT; i++) {
test_ecdsa_sign_verify();
}
}
@@ -3419,12 +6358,12 @@ static int nonce_function_test_retry(unsigned char *nonce32, const unsigned char
return nonce_function_rfc6979(nonce32, msg32, key32, algo16, data, counter - 5);
}
-int is_empty_signature(const secp256k1_ecdsa_signature *sig) {
+static int is_empty_signature(const secp256k1_ecdsa_signature *sig) {
static const unsigned char res[sizeof(secp256k1_ecdsa_signature)] = {0};
- return memcmp(sig, res, sizeof(secp256k1_ecdsa_signature)) == 0;
+ return secp256k1_memcmp_var(sig, res, sizeof(secp256k1_ecdsa_signature)) == 0;
}
-void test_ecdsa_end_to_end(void) {
+static void test_ecdsa_end_to_end(void) {
unsigned char extra[32] = {0x00};
unsigned char privkey[32];
unsigned char message[32];
@@ -3436,139 +6375,161 @@ void test_ecdsa_end_to_end(void) {
unsigned char pubkeyc[65];
size_t pubkeyclen = 65;
secp256k1_pubkey pubkey;
+ secp256k1_pubkey pubkey_tmp;
unsigned char seckey[300];
size_t seckeylen = 300;
/* Generate a random key and message. */
{
secp256k1_scalar msg, key;
- random_scalar_order_test(&msg);
- random_scalar_order_test(&key);
+ testutil_random_scalar_order_test(&msg);
+ testutil_random_scalar_order_test(&key);
secp256k1_scalar_get_b32(privkey, &key);
secp256k1_scalar_get_b32(message, &msg);
}
/* Construct and verify corresponding public key. */
- CHECK(ethkit_secp256k1_ec_seckey_verify(ctx, privkey) == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1);
+ CHECK(secp256k1_ec_seckey_verify(CTX, privkey) == 1);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, privkey) == 1);
/* Verify exporting and importing public key. */
- CHECK(ethkit_secp256k1_ec_pubkey_serialize(ctx, pubkeyc, &pubkeyclen, &pubkey, secp256k1_rand_bits(1) == 1 ? SECP256K1_EC_COMPRESSED : SECP256K1_EC_UNCOMPRESSED));
+ CHECK(secp256k1_ec_pubkey_serialize(CTX, pubkeyc, &pubkeyclen, &pubkey, testrand_bits(1) == 1 ? SECP256K1_EC_COMPRESSED : SECP256K1_EC_UNCOMPRESSED));
memset(&pubkey, 0, sizeof(pubkey));
- CHECK(ethkit_secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 1);
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pubkeyc, pubkeyclen) == 1);
+
+ /* Verify negation changes the key and changes it back */
+ memcpy(&pubkey_tmp, &pubkey, sizeof(pubkey));
+ CHECK(secp256k1_ec_pubkey_negate(CTX, &pubkey_tmp) == 1);
+ CHECK(secp256k1_memcmp_var(&pubkey_tmp, &pubkey, sizeof(pubkey)) != 0);
+ CHECK(secp256k1_ec_pubkey_negate(CTX, &pubkey_tmp) == 1);
+ CHECK(secp256k1_memcmp_var(&pubkey_tmp, &pubkey, sizeof(pubkey)) == 0);
/* Verify private key import and export. */
- CHECK(ec_privkey_export_der(ctx, seckey, &seckeylen, privkey, secp256k1_rand_bits(1) == 1));
- CHECK(ec_privkey_import_der(ctx, privkey2, seckey, seckeylen) == 1);
- CHECK(memcmp(privkey, privkey2, 32) == 0);
+ CHECK(ec_privkey_export_der(CTX, seckey, &seckeylen, privkey, testrand_bits(1) == 1));
+ CHECK(ec_privkey_import_der(CTX, privkey2, seckey, seckeylen) == 1);
+ CHECK(secp256k1_memcmp_var(privkey, privkey2, 32) == 0);
/* Optionally tweak the keys using addition. */
- if (secp256k1_rand_int(3) == 0) {
+ if (testrand_int(3) == 0) {
int ret1;
int ret2;
+ int ret3;
unsigned char rnd[32];
+ unsigned char privkey_tmp[32];
secp256k1_pubkey pubkey2;
- secp256k1_rand256_test(rnd);
- ret1 = ethkit_secp256k1_ec_privkey_tweak_add(ctx, privkey, rnd);
- ret2 = ethkit_secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, rnd);
+ testrand256_test(rnd);
+ memcpy(privkey_tmp, privkey, 32);
+ ret1 = secp256k1_ec_seckey_tweak_add(CTX, privkey, rnd);
+ ret2 = secp256k1_ec_pubkey_tweak_add(CTX, &pubkey, rnd);
+ /* Check that privkey alias gives same result */
+ ret3 = secp256k1_ec_privkey_tweak_add(CTX, privkey_tmp, rnd);
CHECK(ret1 == ret2);
+ CHECK(ret2 == ret3);
if (ret1 == 0) {
return;
}
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey2, privkey) == 1);
- CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
+ CHECK(secp256k1_memcmp_var(privkey, privkey_tmp, 32) == 0);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey2, privkey) == 1);
+ CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
}
/* Optionally tweak the keys using multiplication. */
- if (secp256k1_rand_int(3) == 0) {
+ if (testrand_int(3) == 0) {
int ret1;
int ret2;
+ int ret3;
unsigned char rnd[32];
+ unsigned char privkey_tmp[32];
secp256k1_pubkey pubkey2;
- secp256k1_rand256_test(rnd);
- ret1 = ethkit_secp256k1_ec_privkey_tweak_mul(ctx, privkey, rnd);
- ret2 = ethkit_secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, rnd);
+ testrand256_test(rnd);
+ memcpy(privkey_tmp, privkey, 32);
+ ret1 = secp256k1_ec_seckey_tweak_mul(CTX, privkey, rnd);
+ ret2 = secp256k1_ec_pubkey_tweak_mul(CTX, &pubkey, rnd);
+ /* Check that privkey alias gives same result */
+ ret3 = secp256k1_ec_privkey_tweak_mul(CTX, privkey_tmp, rnd);
CHECK(ret1 == ret2);
+ CHECK(ret2 == ret3);
if (ret1 == 0) {
return;
}
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey2, privkey) == 1);
- CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
+ CHECK(secp256k1_memcmp_var(privkey, privkey_tmp, 32) == 0);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey2, privkey) == 1);
+ CHECK(secp256k1_memcmp_var(&pubkey, &pubkey2, sizeof(pubkey)) == 0);
}
/* Sign. */
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &signature[0], message, privkey, NULL, NULL) == 1);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &signature[4], message, privkey, NULL, NULL) == 1);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &signature[1], message, privkey, NULL, extra) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &signature[0], message, privkey, NULL, NULL) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &signature[4], message, privkey, NULL, NULL) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &signature[1], message, privkey, NULL, extra) == 1);
extra[31] = 1;
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &signature[2], message, privkey, NULL, extra) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &signature[2], message, privkey, NULL, extra) == 1);
extra[31] = 0;
extra[0] = 1;
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &signature[3], message, privkey, NULL, extra) == 1);
- CHECK(memcmp(&signature[0], &signature[4], sizeof(signature[0])) == 0);
- CHECK(memcmp(&signature[0], &signature[1], sizeof(signature[0])) != 0);
- CHECK(memcmp(&signature[0], &signature[2], sizeof(signature[0])) != 0);
- CHECK(memcmp(&signature[0], &signature[3], sizeof(signature[0])) != 0);
- CHECK(memcmp(&signature[1], &signature[2], sizeof(signature[0])) != 0);
- CHECK(memcmp(&signature[1], &signature[3], sizeof(signature[0])) != 0);
- CHECK(memcmp(&signature[2], &signature[3], sizeof(signature[0])) != 0);
+ CHECK(secp256k1_ecdsa_sign(CTX, &signature[3], message, privkey, NULL, extra) == 1);
+ CHECK(secp256k1_memcmp_var(&signature[0], &signature[4], sizeof(signature[0])) == 0);
+ CHECK(secp256k1_memcmp_var(&signature[0], &signature[1], sizeof(signature[0])) != 0);
+ CHECK(secp256k1_memcmp_var(&signature[0], &signature[2], sizeof(signature[0])) != 0);
+ CHECK(secp256k1_memcmp_var(&signature[0], &signature[3], sizeof(signature[0])) != 0);
+ CHECK(secp256k1_memcmp_var(&signature[1], &signature[2], sizeof(signature[0])) != 0);
+ CHECK(secp256k1_memcmp_var(&signature[1], &signature[3], sizeof(signature[0])) != 0);
+ CHECK(secp256k1_memcmp_var(&signature[2], &signature[3], sizeof(signature[0])) != 0);
/* Verify. */
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[1], message, &pubkey) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[2], message, &pubkey) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[3], message, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[0], message, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[1], message, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[2], message, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[3], message, &pubkey) == 1);
/* Test lower-S form, malleate, verify and fail, test again, malleate again */
- CHECK(!ethkit_secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[0]));
- secp256k1_ecdsa_signature_load(ctx, &r, &s, &signature[0]);
+ CHECK(!secp256k1_ecdsa_signature_normalize(CTX, NULL, &signature[0]));
+ secp256k1_ecdsa_signature_load(CTX, &r, &s, &signature[0]);
secp256k1_scalar_negate(&s, &s);
secp256k1_ecdsa_signature_save(&signature[5], &r, &s);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 0);
- CHECK(ethkit_secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5]));
- CHECK(ethkit_secp256k1_ecdsa_signature_normalize(ctx, &signature[5], &signature[5]));
- CHECK(!ethkit_secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5]));
- CHECK(!ethkit_secp256k1_ecdsa_signature_normalize(ctx, &signature[5], &signature[5]));
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[5], message, &pubkey) == 0);
+ CHECK(secp256k1_ecdsa_signature_normalize(CTX, NULL, &signature[5]));
+ CHECK(secp256k1_ecdsa_signature_normalize(CTX, &signature[5], &signature[5]));
+ CHECK(!secp256k1_ecdsa_signature_normalize(CTX, NULL, &signature[5]));
+ CHECK(!secp256k1_ecdsa_signature_normalize(CTX, &signature[5], &signature[5]));
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[5], message, &pubkey) == 1);
secp256k1_scalar_negate(&s, &s);
secp256k1_ecdsa_signature_save(&signature[5], &r, &s);
- CHECK(!ethkit_secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5]));
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 1);
- CHECK(memcmp(&signature[5], &signature[0], 64) == 0);
+ CHECK(!secp256k1_ecdsa_signature_normalize(CTX, NULL, &signature[5]));
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[5], message, &pubkey) == 1);
+ CHECK(secp256k1_memcmp_var(&signature[5], &signature[0], 64) == 0);
/* Serialize/parse DER and verify again */
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_der(ctx, sig, &siglen, &signature[0]) == 1);
+ CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, sig, &siglen, &signature[0]) == 1);
memset(&signature[0], 0, sizeof(signature[0]));
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &signature[0], sig, siglen) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &signature[0], sig, siglen) == 1);
+ CHECK(secp256k1_ecdsa_verify(CTX, &signature[0], message, &pubkey) == 1);
/* Serialize/destroy/parse DER and verify again. */
siglen = 74;
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_der(ctx, sig, &siglen, &signature[0]) == 1);
- sig[secp256k1_rand_int(siglen)] += 1 + secp256k1_rand_int(255);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &signature[0], sig, siglen) == 0 ||
- ethkit_secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 0);
+ CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, sig, &siglen, &signature[0]) == 1);
+ sig[testrand_int(siglen)] += 1 + testrand_int(255);
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &signature[0], sig, siglen) == 0 ||
+ secp256k1_ecdsa_verify(CTX, &signature[0], message, &pubkey) == 0);
}
-void test_random_pubkeys(void) {
+static void test_random_pubkeys(void) {
secp256k1_ge elem;
secp256k1_ge elem2;
unsigned char in[65];
/* Generate some randomly sized pubkeys. */
- size_t len = secp256k1_rand_bits(2) == 0 ? 65 : 33;
- if (secp256k1_rand_bits(2) == 0) {
- len = secp256k1_rand_bits(6);
+ size_t len = testrand_bits(2) == 0 ? 65 : 33;
+ if (testrand_bits(2) == 0) {
+ len = testrand_bits(6);
}
if (len == 65) {
- in[0] = secp256k1_rand_bits(1) ? 4 : (secp256k1_rand_bits(1) ? 6 : 7);
+ in[0] = testrand_bits(1) ? 4 : (testrand_bits(1) ? 6 : 7);
} else {
- in[0] = secp256k1_rand_bits(1) ? 2 : 3;
+ in[0] = testrand_bits(1) ? 2 : 3;
}
- if (secp256k1_rand_bits(3) == 0) {
- in[0] = secp256k1_rand_bits(8);
+ if (testrand_bits(3) == 0) {
+ in[0] = testrand_bits(8);
}
if (len > 1) {
- secp256k1_rand256(&in[1]);
+ testrand256(&in[1]);
}
if (len > 33) {
- secp256k1_rand256(&in[33]);
+ testrand256(&in[33]);
}
if (secp256k1_eckey_pubkey_parse(&elem, in, len)) {
unsigned char out[65];
@@ -3579,7 +6540,7 @@ void test_random_pubkeys(void) {
/* If the pubkey can be parsed, it should round-trip... */
CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, len == 33));
CHECK(size == len);
- CHECK(memcmp(&in[1], &out[1], len-1) == 0);
+ CHECK(secp256k1_memcmp_var(&in[1], &out[1], len-1) == 0);
/* ... except for the type of hybrid inputs. */
if ((in[0] != 6) && (in[0] != 7)) {
CHECK(in[0] == out[0]);
@@ -3588,9 +6549,9 @@ void test_random_pubkeys(void) {
CHECK(secp256k1_eckey_pubkey_serialize(&elem, in, &size, 0));
CHECK(size == 65);
CHECK(secp256k1_eckey_pubkey_parse(&elem2, in, size));
- ge_equals_ge(&elem,&elem2);
+ CHECK(secp256k1_ge_eq_var(&elem2, &elem));
/* Check that the X9.62 hybrid type is checked. */
- in[0] = secp256k1_rand_bits(1) ? 6 : 7;
+ in[0] = testrand_bits(1) ? 6 : 7;
res = secp256k1_eckey_pubkey_parse(&elem2, in, size);
if (firstb == 2 || firstb == 3) {
if (in[0] == firstb + 4) {
@@ -3600,37 +6561,221 @@ void test_random_pubkeys(void) {
}
}
if (res) {
- ge_equals_ge(&elem,&elem2);
+ CHECK(secp256k1_ge_eq_var(&elem, &elem2));
CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, 0));
- CHECK(memcmp(&in[1], &out[1], 64) == 0);
+ CHECK(secp256k1_memcmp_var(&in[1], &out[1], 64) == 0);
+ }
+ }
+}
+
+static void run_pubkey_comparison(void) {
+ unsigned char pk1_ser[33] = {
+ 0x02,
+ 0x58, 0x84, 0xb3, 0xa2, 0x4b, 0x97, 0x37, 0x88, 0x92, 0x38, 0xa6, 0x26, 0x62, 0x52, 0x35, 0x11,
+ 0xd0, 0x9a, 0xa1, 0x1b, 0x80, 0x0b, 0x5e, 0x93, 0x80, 0x26, 0x11, 0xef, 0x67, 0x4b, 0xd9, 0x23
+ };
+ const unsigned char pk2_ser[33] = {
+ 0x02,
+ 0xde, 0x36, 0x0e, 0x87, 0x59, 0x8f, 0x3c, 0x01, 0x36, 0x2a, 0x2a, 0xb8, 0xc6, 0xf4, 0x5e, 0x4d,
+ 0xb2, 0xc2, 0xd5, 0x03, 0xa7, 0xf9, 0xf1, 0x4f, 0xa8, 0xfa, 0x95, 0xa8, 0xe9, 0x69, 0x76, 0x1c
+ };
+ secp256k1_pubkey pk1;
+ secp256k1_pubkey pk2;
+
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pk1, pk1_ser, sizeof(pk1_ser)) == 1);
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pk2, pk2_ser, sizeof(pk2_ser)) == 1);
+
+ CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, NULL, &pk2) < 0));
+ CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, NULL) > 0));
+ CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, &pk2) < 0);
+ CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk1) > 0);
+ CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, &pk1) == 0);
+ CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk2) == 0);
+ {
+ secp256k1_pubkey pk_tmp;
+ memset(&pk_tmp, 0, sizeof(pk_tmp)); /* illegal pubkey */
+ CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk_tmp, &pk2) < 0));
+ {
+ int32_t ecount = 0;
+ secp256k1_context_set_illegal_callback(CTX, counting_callback_fn, &ecount);
+ CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk_tmp, &pk_tmp) == 0);
+ CHECK(ecount == 2);
+ secp256k1_context_set_illegal_callback(CTX, NULL, NULL);
+ }
+ CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk_tmp) > 0));
+ }
+
+ /* Make pk2 the same as pk1 but with 3 rather than 2. Note that in
+ * an uncompressed encoding, these would have the opposite ordering */
+ pk1_ser[0] = 3;
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pk2, pk1_ser, sizeof(pk1_ser)) == 1);
+ CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk1, &pk2) < 0);
+ CHECK(secp256k1_ec_pubkey_cmp(CTX, &pk2, &pk1) > 0);
+}
+
+static void test_sort_helper(secp256k1_pubkey *pk, size_t *pk_order, size_t n_pk) {
+ size_t i;
+ const secp256k1_pubkey *pk_test[5];
+
+ for (i = 0; i < n_pk; i++) {
+ pk_test[i] = &pk[pk_order[i]];
+ }
+ secp256k1_ec_pubkey_sort(CTX, pk_test, n_pk);
+ for (i = 0; i < n_pk; i++) {
+ CHECK(secp256k1_memcmp_var(pk_test[i], &pk[i], sizeof(*pk_test[i])) == 0);
+ }
+}
+
+static void permute(size_t *arr, size_t n) {
+ size_t i;
+ for (i = n - 1; i >= 1; i--) {
+ size_t tmp, j;
+ j = testrand_int(i + 1);
+ tmp = arr[i];
+ arr[i] = arr[j];
+ arr[j] = tmp;
+ }
+}
+
+static void test_sort_api(void) {
+ secp256k1_pubkey pks[2];
+ const secp256k1_pubkey *pks_ptr[2];
+
+ pks_ptr[0] = &pks[0];
+ pks_ptr[1] = &pks[1];
+
+ testutil_random_pubkey_test(&pks[0]);
+ testutil_random_pubkey_test(&pks[1]);
+
+ CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_sort(CTX, NULL, 2));
+ CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 0) == 1);
+ /* Test illegal public keys */
+ memset(&pks[0], 0, sizeof(pks[0]));
+ CHECK_ILLEGAL_VOID(CTX, CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2) == 1));
+ memset(&pks[1], 0, sizeof(pks[1]));
+ {
+ int32_t ecount = 0;
+ secp256k1_context_set_illegal_callback(CTX, counting_callback_fn, &ecount);
+ CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, 2) == 1);
+ CHECK(ecount == 2);
+ secp256k1_context_set_illegal_callback(CTX, NULL, NULL);
+ }
+}
+
+static void test_sort(void) {
+ secp256k1_pubkey pk[5];
+ unsigned char pk_ser[5][33] = {
+ { 0x02, 0x08 },
+ { 0x02, 0x0b },
+ { 0x02, 0x0c },
+ { 0x03, 0x05 },
+ { 0x03, 0x0a },
+ };
+ int i;
+ size_t pk_order[5] = { 0, 1, 2, 3, 4 };
+
+ for (i = 0; i < 5; i++) {
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pk[i], pk_ser[i], sizeof(pk_ser[i])));
+ }
+
+ permute(pk_order, 1);
+ test_sort_helper(pk, pk_order, 1);
+ permute(pk_order, 2);
+ test_sort_helper(pk, pk_order, 2);
+ permute(pk_order, 3);
+ test_sort_helper(pk, pk_order, 3);
+ for (i = 0; i < COUNT; i++) {
+ permute(pk_order, 4);
+ test_sort_helper(pk, pk_order, 4);
+ }
+ for (i = 0; i < COUNT; i++) {
+ permute(pk_order, 5);
+ test_sort_helper(pk, pk_order, 5);
+ }
+ /* Check that sorting also works for random pubkeys */
+ for (i = 0; i < COUNT; i++) {
+ int j;
+ const secp256k1_pubkey *pk_ptr[5];
+ for (j = 0; j < 5; j++) {
+ testutil_random_pubkey_test(&pk[j]);
+ pk_ptr[j] = &pk[j];
}
+ secp256k1_ec_pubkey_sort(CTX, pk_ptr, 5);
+ for (j = 1; j < 5; j++) {
+ CHECK(secp256k1_ec_pubkey_sort_cmp(&pk_ptr[j - 1], &pk_ptr[j], CTX) <= 0);
+ }
+ }
+}
+
+/* Test vectors from BIP-MuSig2 */
+static void test_sort_vectors(void) {
+ enum { N_PUBKEYS = 6 };
+ unsigned char pk_ser[N_PUBKEYS][33] = {
+ { 0x02, 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, 0x12, 0x1F,
+ 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, 0x01, 0x39, 0x71, 0x53, 0x09,
+ 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xB8 },
+ { 0x02, 0xF9, 0x30, 0x8A, 0x01, 0x92, 0x58, 0xC3, 0x10, 0x49, 0x34,
+ 0x4F, 0x85, 0xF8, 0x9D, 0x52, 0x29, 0xB5, 0x31, 0xC8, 0x45, 0x83,
+ 0x6F, 0x99, 0xB0, 0x86, 0x01, 0xF1, 0x13, 0xBC, 0xE0, 0x36, 0xF9 },
+ { 0x03, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18,
+ 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2,
+ 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59 },
+ { 0x02, 0x35, 0x90, 0xA9, 0x4E, 0x76, 0x8F, 0x8E, 0x18, 0x15, 0xC2,
+ 0xF2, 0x4B, 0x4D, 0x80, 0xA8, 0xE3, 0x14, 0x93, 0x16, 0xC3, 0x51,
+ 0x8C, 0xE7, 0xB7, 0xAD, 0x33, 0x83, 0x68, 0xD0, 0x38, 0xCA, 0x66 },
+ { 0x02, 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, 0x12, 0x1F,
+ 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, 0x01, 0x39, 0x71, 0x53, 0x09,
+ 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xFF },
+ { 0x02, 0xDD, 0x30, 0x8A, 0xFE, 0xC5, 0x77, 0x7E, 0x13, 0x12, 0x1F,
+ 0xA7, 0x2B, 0x9C, 0xC1, 0xB7, 0xCC, 0x01, 0x39, 0x71, 0x53, 0x09,
+ 0xB0, 0x86, 0xC9, 0x60, 0xE1, 0x8F, 0xD9, 0x69, 0x77, 0x4E, 0xB8 }
+ };
+ secp256k1_pubkey pubkeys[N_PUBKEYS];
+ secp256k1_pubkey *sorted[N_PUBKEYS];
+ const secp256k1_pubkey *pks_ptr[N_PUBKEYS];
+ int i;
+
+ sorted[0] = &pubkeys[3];
+ sorted[1] = &pubkeys[0];
+ sorted[2] = &pubkeys[0];
+ sorted[3] = &pubkeys[4];
+ sorted[4] = &pubkeys[1];
+ sorted[5] = &pubkeys[2];
+
+ for (i = 0; i < N_PUBKEYS; i++) {
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkeys[i], pk_ser[i], sizeof(pk_ser[i])));
+ pks_ptr[i] = &pubkeys[i];
}
+ CHECK(secp256k1_ec_pubkey_sort(CTX, pks_ptr, N_PUBKEYS) == 1);
+ for (i = 0; i < N_PUBKEYS; i++) {
+ CHECK(secp256k1_memcmp_var(pks_ptr[i], sorted[i], sizeof(secp256k1_pubkey)) == 0);
+ }
+}
+
+static void run_pubkey_sort(void) {
+ test_sort_api();
+ test_sort();
+ test_sort_vectors();
}
-void run_random_pubkeys(void) {
+
+static void run_random_pubkeys(void) {
int i;
- for (i = 0; i < 10*count; i++) {
+ for (i = 0; i < 10*COUNT; i++) {
test_random_pubkeys();
}
}
-void run_ecdsa_end_to_end(void) {
+static void run_ecdsa_end_to_end(void) {
int i;
- for (i = 0; i < 64*count; i++) {
+ for (i = 0; i < 64*COUNT; i++) {
test_ecdsa_end_to_end();
}
}
-int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_der, int certainly_not_der) {
+static int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_der, int certainly_not_der) {
static const unsigned char zeroes[32] = {0};
-#ifdef ENABLE_OPENSSL_TESTS
- static const unsigned char max_scalar[32] = {
- 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
- 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
- 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b,
- 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40
- };
-#endif
int ret = 0;
@@ -3646,32 +6791,24 @@ int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_
size_t len_der_lax = 2048;
int parsed_der_lax = 0, valid_der_lax = 0, roundtrips_der_lax = 0;
-#ifdef ENABLE_OPENSSL_TESTS
- ECDSA_SIG *sig_openssl;
- const unsigned char *sigptr;
- unsigned char roundtrip_openssl[2048];
- int len_openssl = 2048;
- int parsed_openssl, valid_openssl = 0, roundtrips_openssl = 0;
-#endif
-
- parsed_der = ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig_der, sig, siglen);
+ parsed_der = secp256k1_ecdsa_signature_parse_der(CTX, &sig_der, sig, siglen);
if (parsed_der) {
- ret |= (!ethkit_secp256k1_ecdsa_signature_serialize_compact(ctx, compact_der, &sig_der)) << 0;
- valid_der = (memcmp(compact_der, zeroes, 32) != 0) && (memcmp(compact_der + 32, zeroes, 32) != 0);
+ ret |= (!secp256k1_ecdsa_signature_serialize_compact(CTX, compact_der, &sig_der)) << 0;
+ valid_der = (secp256k1_memcmp_var(compact_der, zeroes, 32) != 0) && (secp256k1_memcmp_var(compact_der + 32, zeroes, 32) != 0);
}
if (valid_der) {
- ret |= (!ethkit_secp256k1_ecdsa_signature_serialize_der(ctx, roundtrip_der, &len_der, &sig_der)) << 1;
- roundtrips_der = (len_der == siglen) && memcmp(roundtrip_der, sig, siglen) == 0;
+ ret |= (!secp256k1_ecdsa_signature_serialize_der(CTX, roundtrip_der, &len_der, &sig_der)) << 1;
+ roundtrips_der = (len_der == siglen) && secp256k1_memcmp_var(roundtrip_der, sig, siglen) == 0;
}
- parsed_der_lax = ecdsa_signature_parse_der_lax(ctx, &sig_der_lax, sig, siglen);
+ parsed_der_lax = ecdsa_signature_parse_der_lax(CTX, &sig_der_lax, sig, siglen);
if (parsed_der_lax) {
- ret |= (!ethkit_secp256k1_ecdsa_signature_serialize_compact(ctx, compact_der_lax, &sig_der_lax)) << 10;
- valid_der_lax = (memcmp(compact_der_lax, zeroes, 32) != 0) && (memcmp(compact_der_lax + 32, zeroes, 32) != 0);
+ ret |= (!secp256k1_ecdsa_signature_serialize_compact(CTX, compact_der_lax, &sig_der_lax)) << 10;
+ valid_der_lax = (secp256k1_memcmp_var(compact_der_lax, zeroes, 32) != 0) && (secp256k1_memcmp_var(compact_der_lax + 32, zeroes, 32) != 0);
}
if (valid_der_lax) {
- ret |= (!ethkit_secp256k1_ecdsa_signature_serialize_der(ctx, roundtrip_der_lax, &len_der_lax, &sig_der_lax)) << 11;
- roundtrips_der_lax = (len_der_lax == siglen) && memcmp(roundtrip_der_lax, sig, siglen) == 0;
+ ret |= (!secp256k1_ecdsa_signature_serialize_der(CTX, roundtrip_der_lax, &len_der_lax, &sig_der_lax)) << 11;
+ roundtrips_der_lax = (len_der_lax == siglen) && secp256k1_memcmp_var(roundtrip_der_lax, sig, siglen) == 0;
}
if (certainly_der) {
@@ -3687,49 +6824,13 @@ int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_
if (valid_der) {
ret |= (!roundtrips_der_lax) << 12;
ret |= (len_der != len_der_lax) << 13;
- ret |= (memcmp(roundtrip_der_lax, roundtrip_der, len_der) != 0) << 14;
+ ret |= ((len_der != len_der_lax) || (secp256k1_memcmp_var(roundtrip_der_lax, roundtrip_der, len_der) != 0)) << 14;
}
ret |= (roundtrips_der != roundtrips_der_lax) << 15;
if (parsed_der) {
ret |= (!parsed_der_lax) << 16;
}
-#ifdef ENABLE_OPENSSL_TESTS
- sig_openssl = ECDSA_SIG_new();
- sigptr = sig;
- parsed_openssl = (d2i_ECDSA_SIG(&sig_openssl, &sigptr, siglen) != NULL);
- if (parsed_openssl) {
- valid_openssl = !BN_is_negative(sig_openssl->r) && !BN_is_negative(sig_openssl->s) && BN_num_bits(sig_openssl->r) > 0 && BN_num_bits(sig_openssl->r) <= 256 && BN_num_bits(sig_openssl->s) > 0 && BN_num_bits(sig_openssl->s) <= 256;
- if (valid_openssl) {
- unsigned char tmp[32] = {0};
- BN_bn2bin(sig_openssl->r, tmp + 32 - BN_num_bytes(sig_openssl->r));
- valid_openssl = memcmp(tmp, max_scalar, 32) < 0;
- }
- if (valid_openssl) {
- unsigned char tmp[32] = {0};
- BN_bn2bin(sig_openssl->s, tmp + 32 - BN_num_bytes(sig_openssl->s));
- valid_openssl = memcmp(tmp, max_scalar, 32) < 0;
- }
- }
- len_openssl = i2d_ECDSA_SIG(sig_openssl, NULL);
- if (len_openssl <= 2048) {
- unsigned char *ptr = roundtrip_openssl;
- CHECK(i2d_ECDSA_SIG(sig_openssl, &ptr) == len_openssl);
- roundtrips_openssl = valid_openssl && ((size_t)len_openssl == siglen) && (memcmp(roundtrip_openssl, sig, siglen) == 0);
- } else {
- len_openssl = 0;
- }
- ECDSA_SIG_free(sig_openssl);
-
- ret |= (parsed_der && !parsed_openssl) << 4;
- ret |= (valid_der && !valid_openssl) << 5;
- ret |= (roundtrips_openssl && !parsed_der) << 6;
- ret |= (roundtrips_der != roundtrips_openssl) << 7;
- if (roundtrips_openssl) {
- ret |= (len_der != (size_t)len_openssl) << 8;
- ret |= (memcmp(roundtrip_der, roundtrip_openssl, len_der) != 0) << 9;
- }
-#endif
return ret;
}
@@ -3747,27 +6848,27 @@ static void assign_big_endian(unsigned char *ptr, size_t ptrlen, uint32_t val) {
static void damage_array(unsigned char *sig, size_t *len) {
int pos;
- int action = secp256k1_rand_bits(3);
+ int action = testrand_bits(3);
if (action < 1 && *len > 3) {
/* Delete a byte. */
- pos = secp256k1_rand_int(*len);
+ pos = testrand_int(*len);
memmove(sig + pos, sig + pos + 1, *len - pos - 1);
(*len)--;
return;
} else if (action < 2 && *len < 2048) {
/* Insert a byte. */
- pos = secp256k1_rand_int(1 + *len);
+ pos = testrand_int(1 + *len);
memmove(sig + pos + 1, sig + pos, *len - pos);
- sig[pos] = secp256k1_rand_bits(8);
+ sig[pos] = testrand_bits(8);
(*len)++;
return;
} else if (action < 4) {
/* Modify a byte. */
- sig[secp256k1_rand_int(*len)] += 1 + secp256k1_rand_int(255);
+ sig[testrand_int(*len)] += 1 + testrand_int(255);
return;
} else { /* action < 8 */
/* Modify a bit. */
- sig[secp256k1_rand_int(*len)] ^= 1 << secp256k1_rand_bits(3);
+ sig[testrand_int(*len)] ^= 1 << testrand_bits(3);
return;
}
}
@@ -3780,23 +6881,23 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly
int n;
*len = 0;
- der = secp256k1_rand_bits(2) == 0;
+ der = testrand_bits(2) == 0;
*certainly_der = der;
*certainly_not_der = 0;
- indet = der ? 0 : secp256k1_rand_int(10) == 0;
+ indet = der ? 0 : testrand_int(10) == 0;
for (n = 0; n < 2; n++) {
/* We generate two classes of numbers: nlow==1 "low" ones (up to 32 bytes), nlow==0 "high" ones (32 bytes with 129 top bits set, or larger than 32 bytes) */
- nlow[n] = der ? 1 : (secp256k1_rand_bits(3) != 0);
+ nlow[n] = der ? 1 : (testrand_bits(3) != 0);
/* The length of the number in bytes (the first byte of which will always be nonzero) */
- nlen[n] = nlow[n] ? secp256k1_rand_int(33) : 32 + secp256k1_rand_int(200) * secp256k1_rand_int(8) / 8;
+ nlen[n] = nlow[n] ? testrand_int(33) : 32 + testrand_int(200) * testrand_bits(3) / 8;
CHECK(nlen[n] <= 232);
/* The top bit of the number. */
- nhbit[n] = (nlow[n] == 0 && nlen[n] == 32) ? 1 : (nlen[n] == 0 ? 0 : secp256k1_rand_bits(1));
+ nhbit[n] = (nlow[n] == 0 && nlen[n] == 32) ? 1 : (nlen[n] == 0 ? 0 : testrand_bits(1));
/* The top byte of the number (after the potential hardcoded 16 0xFF characters for "high" 32 bytes numbers) */
- nhbyte[n] = nlen[n] == 0 ? 0 : (nhbit[n] ? 128 + secp256k1_rand_bits(7) : 1 + secp256k1_rand_int(127));
+ nhbyte[n] = nlen[n] == 0 ? 0 : (nhbit[n] ? 128 + testrand_bits(7) : 1 + testrand_int(127));
/* The number of zero bytes in front of the number (which is 0 or 1 in case of DER, otherwise we extend up to 300 bytes) */
- nzlen[n] = der ? ((nlen[n] == 0 || nhbit[n]) ? 1 : 0) : (nlow[n] ? secp256k1_rand_int(3) : secp256k1_rand_int(300 - nlen[n]) * secp256k1_rand_int(8) / 8);
+ nzlen[n] = der ? ((nlen[n] == 0 || nhbit[n]) ? 1 : 0) : (nlow[n] ? testrand_int(3) : testrand_int(300 - nlen[n]) * testrand_bits(3) / 8);
if (nzlen[n] > ((nlen[n] == 0 || nhbit[n]) ? 1 : 0)) {
*certainly_not_der = 1;
}
@@ -3805,7 +6906,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly
nlenlen[n] = nlen[n] + nzlen[n] < 128 ? 0 : (nlen[n] + nzlen[n] < 256 ? 1 : 2);
if (!der) {
/* nlenlen[n] max 127 bytes */
- int add = secp256k1_rand_int(127 - nlenlen[n]) * secp256k1_rand_int(16) * secp256k1_rand_int(16) / 256;
+ int add = testrand_int(127 - nlenlen[n]) * testrand_bits(4) * testrand_bits(4) / 256;
nlenlen[n] += add;
if (add != 0) {
*certainly_not_der = 1;
@@ -3819,7 +6920,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly
CHECK(tlen <= 856);
/* The length of the garbage inside the tuple. */
- elen = (der || indet) ? 0 : secp256k1_rand_int(980 - tlen) * secp256k1_rand_int(8) / 8;
+ elen = (der || indet) ? 0 : testrand_int(980 - tlen) * testrand_bits(3) / 8;
if (elen != 0) {
*certainly_not_der = 1;
}
@@ -3827,7 +6928,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly
CHECK(tlen <= 980);
/* The length of the garbage after the end of the tuple. */
- glen = der ? 0 : secp256k1_rand_int(990 - tlen) * secp256k1_rand_int(8) / 8;
+ glen = der ? 0 : testrand_int(990 - tlen) * testrand_bits(3) / 8;
if (glen != 0) {
*certainly_not_der = 1;
}
@@ -3842,7 +6943,7 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly
} else {
int tlenlen = tlen < 128 ? 0 : (tlen < 256 ? 1 : 2);
if (!der) {
- int add = secp256k1_rand_int(127 - tlenlen) * secp256k1_rand_int(16) * secp256k1_rand_int(16) / 256;
+ int add = testrand_int(127 - tlenlen) * testrand_bits(4) * testrand_bits(4) / 256;
tlenlen += add;
if (add != 0) {
*certainly_not_der = 1;
@@ -3893,13 +6994,13 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly
nlen[n]--;
}
/* Generate remaining random bytes of number */
- secp256k1_rand_bytes_test(sig + *len, nlen[n]);
+ testrand_bytes_test(sig + *len, nlen[n]);
*len += nlen[n];
nlen[n] = 0;
}
/* Generate random garbage inside tuple. */
- secp256k1_rand_bytes_test(sig + *len, elen);
+ testrand_bytes_test(sig + *len, elen);
*len += elen;
/* Generate end-of-contents bytes. */
@@ -3911,16 +7012,16 @@ static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly
CHECK(tlen + glen <= 1121);
/* Generate random garbage outside tuple. */
- secp256k1_rand_bytes_test(sig + *len, glen);
+ testrand_bytes_test(sig + *len, glen);
*len += glen;
tlen += glen;
CHECK(tlen <= 1121);
CHECK(tlen == *len);
}
-void run_ecdsa_der_parse(void) {
+static void run_ecdsa_der_parse(void) {
int i,j;
- for (i = 0; i < 200 * count; i++) {
+ for (i = 0; i < 200 * COUNT; i++) {
unsigned char buffer[2048];
size_t buflen = 0;
int certainly_der = 0;
@@ -3950,7 +7051,7 @@ void run_ecdsa_der_parse(void) {
}
/* Tests several edge cases. */
-void test_ecdsa_edge_cases(void) {
+static void test_ecdsa_edge_cases(void) {
int t;
secp256k1_ecdsa_signature sig;
@@ -3964,10 +7065,10 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_negate(&ss, &ss);
secp256k1_scalar_inverse(&ss, &ss);
secp256k1_scalar_set_int(&sr, 1);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &keyj, &sr);
+ secp256k1_ecmult_gen(&CTX->ecmult_gen_ctx, &keyj, &sr);
secp256k1_ge_set_gej(&key, &keyj);
msg = ss;
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
}
/* Verify signature with r of zero fails. */
@@ -3986,7 +7087,7 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_set_int(&msg, 0);
secp256k1_scalar_set_int(&sr, 0);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey_mods_zero, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify( &sr, &ss, &key, &msg) == 0);
}
/* Verify signature with s of zero fails. */
@@ -4005,7 +7106,7 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_set_int(&msg, 0);
secp256k1_scalar_set_int(&sr, 1);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
}
/* Verify signature with message 0 passes. */
@@ -4033,14 +7134,14 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_set_int(&sr, 2);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33));
CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1);
secp256k1_scalar_negate(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1);
secp256k1_scalar_set_int(&ss, 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 0);
}
/* Verify signature with message 1 passes. */
@@ -4074,15 +7175,15 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_set_b32(&sr, csr, NULL);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33));
CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1);
secp256k1_scalar_negate(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1);
secp256k1_scalar_set_int(&ss, 2);
secp256k1_scalar_inverse_var(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 0);
}
/* Verify signature with message -1 passes. */
@@ -4108,19 +7209,18 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_negate(&msg, &msg);
secp256k1_scalar_set_b32(&sr, csr, NULL);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
secp256k1_scalar_negate(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
secp256k1_scalar_set_int(&ss, 3);
secp256k1_scalar_inverse_var(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
}
/* Signature where s would be zero. */
{
secp256k1_pubkey pubkey;
size_t siglen;
- int32_t ecount;
unsigned char signature[72];
static const unsigned char nonce[32] = {
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
@@ -4146,72 +7246,42 @@ void test_ecdsa_edge_cases(void) {
0xb8, 0x12, 0xe0, 0x0b, 0x81, 0x7a, 0x77, 0x62,
0x65, 0xdf, 0xdd, 0x31, 0xb9, 0x3e, 0x29, 0xa9,
};
- ecount = 0;
- ethkit_secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce) == 0);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce2) == 0);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce) == 0);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce2) == 0);
msg[31] = 0xaa;
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce) == 1);
- CHECK(ecount == 0);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, NULL, msg, key, precomputed_nonce_function, nonce2) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, NULL, key, precomputed_nonce_function, nonce2) == 0);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg, NULL, precomputed_nonce_function, nonce2) == 0);
- CHECK(ecount == 3);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce2) == 1);
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, key) == 1);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, NULL, msg, &pubkey) == 0);
- CHECK(ecount == 4);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, NULL, &pubkey) == 0);
- CHECK(ecount == 5);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg, NULL) == 0);
- CHECK(ecount == 6);
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg, &pubkey) == 1);
- CHECK(ecount == 6);
- CHECK(ethkit_secp256k1_ec_pubkey_create(ctx, &pubkey, NULL) == 0);
- CHECK(ecount == 7);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign(CTX, NULL, msg, key, precomputed_nonce_function, nonce2));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign(CTX, &sig, NULL, key, precomputed_nonce_function, nonce2));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_sign(CTX, &sig, msg, NULL, precomputed_nonce_function, nonce2));
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, precomputed_nonce_function, nonce2) == 1);
+ CHECK(secp256k1_ec_pubkey_create(CTX, &pubkey, key) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, NULL, msg, &pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, &sig, NULL, &pubkey));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, &sig, msg, NULL));
+ CHECK(secp256k1_ecdsa_verify(CTX, &sig, msg, &pubkey) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ec_pubkey_create(CTX, &pubkey, NULL));
/* That pubkeyload fails via an ARGCHECK is a little odd but makes sense because pubkeys are an opaque data type. */
- CHECK(ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg, &pubkey) == 0);
- CHECK(ecount == 8);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_verify(CTX, &sig, msg, &pubkey));
siglen = 72;
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_der(ctx, NULL, &siglen, &sig) == 0);
- CHECK(ecount == 9);
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_der(ctx, signature, NULL, &sig) == 0);
- CHECK(ecount == 10);
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, NULL) == 0);
- CHECK(ecount == 11);
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 1);
- CHECK(ecount == 11);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, NULL, signature, siglen) == 0);
- CHECK(ecount == 12);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, NULL, siglen) == 0);
- CHECK(ecount == 13);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_der(ctx, &sig, signature, siglen) == 1);
- CHECK(ecount == 13);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_der(CTX, NULL, &siglen, &sig));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_der(CTX, signature, NULL, &sig));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, NULL));
+ CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, &sig) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_der(CTX, NULL, signature, siglen));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_der(CTX, &sig, NULL, siglen));
+ CHECK(secp256k1_ecdsa_signature_parse_der(CTX, &sig, signature, siglen) == 1);
siglen = 10;
/* Too little room for a signature does not fail via ARGCHECK. */
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 0);
- CHECK(ecount == 13);
- ecount = 0;
- CHECK(ethkit_secp256k1_ecdsa_signature_normalize(ctx, NULL, NULL) == 0);
- CHECK(ecount == 1);
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_compact(ctx, NULL, &sig) == 0);
- CHECK(ecount == 2);
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_compact(ctx, signature, NULL) == 0);
- CHECK(ecount == 3);
- CHECK(ethkit_secp256k1_ecdsa_signature_serialize_compact(ctx, signature, &sig) == 1);
- CHECK(ecount == 3);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_compact(ctx, NULL, signature) == 0);
- CHECK(ecount == 4);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_compact(ctx, &sig, NULL) == 0);
- CHECK(ecount == 5);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_compact(ctx, &sig, signature) == 1);
- CHECK(ecount == 5);
+ CHECK(secp256k1_ecdsa_signature_serialize_der(CTX, signature, &siglen, &sig) == 0);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_normalize(CTX, NULL, NULL));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_compact(CTX, NULL, &sig));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_serialize_compact(CTX, signature, NULL));
+ CHECK(secp256k1_ecdsa_signature_serialize_compact(CTX, signature, &sig) == 1);
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_compact(CTX, NULL, signature));
+ CHECK_ILLEGAL(CTX, secp256k1_ecdsa_signature_parse_compact(CTX, &sig, NULL));
+ CHECK(secp256k1_ecdsa_signature_parse_compact(CTX, &sig, signature) == 1);
memset(signature, 255, 64);
- CHECK(ethkit_secp256k1_ecdsa_signature_parse_compact(ctx, &sig, signature) == 0);
- CHECK(ecount == 5);
- ethkit_secp256k1_context_set_illegal_callback(ctx, NULL, NULL);
+ CHECK(secp256k1_ecdsa_signature_parse_compact(CTX, &sig, signature) == 0);
}
/* Nonce function corner cases. */
@@ -4228,33 +7298,33 @@ void test_ecdsa_edge_cases(void) {
msg[31] = 1;
/* High key results in signature failure. */
memset(key, 0xFF, 32);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg, key, NULL, extra) == 0);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, NULL, extra) == 0);
CHECK(is_empty_signature(&sig));
/* Zero key results in signature failure. */
memset(key, 0, 32);
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg, key, NULL, extra) == 0);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, NULL, extra) == 0);
CHECK(is_empty_signature(&sig));
/* Nonce function failure results in signature failure. */
key[31] = 1;
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg, key, nonce_function_test_fail, extra) == 0);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, nonce_function_test_fail, extra) == 0);
CHECK(is_empty_signature(&sig));
/* The retry loop successfully makes its way to the first good value. */
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg, key, nonce_function_test_retry, extra) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig, msg, key, nonce_function_test_retry, extra) == 1);
CHECK(!is_empty_signature(&sig));
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig2, msg, key, nonce_function_rfc6979, extra) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig2, msg, key, nonce_function_rfc6979, extra) == 1);
CHECK(!is_empty_signature(&sig2));
- CHECK(memcmp(&sig, &sig2, sizeof(sig)) == 0);
+ CHECK(secp256k1_memcmp_var(&sig, &sig2, sizeof(sig)) == 0);
/* The default nonce function is deterministic. */
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig2, msg, key, NULL, extra) == 1);
CHECK(!is_empty_signature(&sig2));
- CHECK(memcmp(&sig, &sig2, sizeof(sig)) == 0);
+ CHECK(secp256k1_memcmp_var(&sig, &sig2, sizeof(sig)) == 0);
/* The default nonce function changes output with different messages. */
for(i = 0; i < 256; i++) {
int j;
msg[0] = i;
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig2, msg, key, NULL, extra) == 1);
CHECK(!is_empty_signature(&sig2));
- secp256k1_ecdsa_signature_load(ctx, &sr[i], &ss, &sig2);
+ secp256k1_ecdsa_signature_load(CTX, &sr[i], &ss, &sig2);
for (j = 0; j < i; j++) {
CHECK(!secp256k1_scalar_eq(&sr[i], &sr[j]));
}
@@ -4265,9 +7335,9 @@ void test_ecdsa_edge_cases(void) {
for(i = 256; i < 512; i++) {
int j;
key[0] = i - 256;
- CHECK(ethkit_secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1);
+ CHECK(secp256k1_ecdsa_sign(CTX, &sig2, msg, key, NULL, extra) == 1);
CHECK(!is_empty_signature(&sig2));
- secp256k1_ecdsa_signature_load(ctx, &sr[i], &ss, &sig2);
+ secp256k1_ecdsa_signature_load(CTX, &sr[i], &ss, &sig2);
for (j = 0; j < i; j++) {
CHECK(!secp256k1_scalar_eq(&sr[i], &sr[j]));
}
@@ -4282,24 +7352,24 @@ void test_ecdsa_edge_cases(void) {
unsigned char nonce2[32];
unsigned char nonce3[32];
unsigned char nonce4[32];
- VG_UNDEF(nonce,32);
- VG_UNDEF(nonce2,32);
- VG_UNDEF(nonce3,32);
- VG_UNDEF(nonce4,32);
+ SECP256K1_CHECKMEM_UNDEFINE(nonce,32);
+ SECP256K1_CHECKMEM_UNDEFINE(nonce2,32);
+ SECP256K1_CHECKMEM_UNDEFINE(nonce3,32);
+ SECP256K1_CHECKMEM_UNDEFINE(nonce4,32);
CHECK(nonce_function_rfc6979(nonce, zeros, zeros, NULL, NULL, 0) == 1);
- VG_CHECK(nonce,32);
+ SECP256K1_CHECKMEM_CHECK(nonce,32);
CHECK(nonce_function_rfc6979(nonce2, zeros, zeros, zeros, NULL, 0) == 1);
- VG_CHECK(nonce2,32);
+ SECP256K1_CHECKMEM_CHECK(nonce2,32);
CHECK(nonce_function_rfc6979(nonce3, zeros, zeros, NULL, (void *)zeros, 0) == 1);
- VG_CHECK(nonce3,32);
+ SECP256K1_CHECKMEM_CHECK(nonce3,32);
CHECK(nonce_function_rfc6979(nonce4, zeros, zeros, zeros, (void *)zeros, 0) == 1);
- VG_CHECK(nonce4,32);
- CHECK(memcmp(nonce, nonce2, 32) != 0);
- CHECK(memcmp(nonce, nonce3, 32) != 0);
- CHECK(memcmp(nonce, nonce4, 32) != 0);
- CHECK(memcmp(nonce2, nonce3, 32) != 0);
- CHECK(memcmp(nonce2, nonce4, 32) != 0);
- CHECK(memcmp(nonce3, nonce4, 32) != 0);
+ SECP256K1_CHECKMEM_CHECK(nonce4,32);
+ CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0);
+ CHECK(secp256k1_memcmp_var(nonce, nonce3, 32) != 0);
+ CHECK(secp256k1_memcmp_var(nonce, nonce4, 32) != 0);
+ CHECK(secp256k1_memcmp_var(nonce2, nonce3, 32) != 0);
+ CHECK(secp256k1_memcmp_var(nonce2, nonce4, 32) != 0);
+ CHECK(secp256k1_memcmp_var(nonce3, nonce4, 32) != 0);
}
@@ -4313,175 +7383,399 @@ void test_ecdsa_edge_cases(void) {
0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41,
};
size_t outlen = 300;
- CHECK(!ec_privkey_export_der(ctx, privkey, &outlen, seckey, 0));
+ CHECK(!ec_privkey_export_der(CTX, privkey, &outlen, seckey, 0));
outlen = 300;
- CHECK(!ec_privkey_export_der(ctx, privkey, &outlen, seckey, 1));
+ CHECK(!ec_privkey_export_der(CTX, privkey, &outlen, seckey, 1));
}
}
-void run_ecdsa_edge_cases(void) {
+static void run_ecdsa_edge_cases(void) {
test_ecdsa_edge_cases();
}
-#ifdef ENABLE_OPENSSL_TESTS
-EC_KEY *get_openssl_key(const unsigned char *key32) {
- unsigned char privkey[300];
- size_t privkeylen;
- const unsigned char* pbegin = privkey;
- int compr = secp256k1_rand_bits(1);
- EC_KEY *ec_key = EC_KEY_new_by_curve_name(NID_secp256k1);
- CHECK(ec_privkey_export_der(ctx, privkey, &privkeylen, key32, compr));
- CHECK(d2i_ECPrivateKey(&ec_key, &pbegin, privkeylen));
- CHECK(EC_KEY_check_key(ec_key));
- return ec_key;
-}
+/** Wycheproof tests
-void test_ecdsa_openssl(void) {
- secp256k1_gej qj;
- secp256k1_ge q;
- secp256k1_scalar sigr, sigs;
- secp256k1_scalar one;
- secp256k1_scalar msg2;
- secp256k1_scalar key, msg;
- EC_KEY *ec_key;
- unsigned int sigsize = 80;
- size_t secp_sigsize = 80;
- unsigned char message[32];
- unsigned char signature[80];
- unsigned char key32[32];
- secp256k1_rand256_test(message);
- secp256k1_scalar_set_b32(&msg, message, NULL);
- random_scalar_order_test(&key);
- secp256k1_scalar_get_b32(key32, &key);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &qj, &key);
- secp256k1_ge_set_gej(&q, &qj);
- ec_key = get_openssl_key(key32);
- CHECK(ec_key != NULL);
- CHECK(ECDSA_sign(0, message, sizeof(message), signature, &sigsize, ec_key));
- CHECK(secp256k1_ecdsa_sig_parse(&sigr, &sigs, signature, sigsize));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &q, &msg));
- secp256k1_scalar_set_int(&one, 1);
- secp256k1_scalar_add(&msg2, &msg, &one);
- CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &q, &msg2));
+The tests check for known attacks (range checks in (r,s), arithmetic errors, malleability).
+*/
+static void test_ecdsa_wycheproof(void) {
+ #include "wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h"
- random_sign(&sigr, &sigs, &key, &msg, NULL);
- CHECK(secp256k1_ecdsa_sig_serialize(signature, &secp_sigsize, &sigr, &sigs));
- CHECK(ECDSA_verify(0, message, sizeof(message), signature, secp_sigsize, ec_key) == 1);
+ int t;
+ for (t = 0; t < SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS; t++) {
+ secp256k1_ecdsa_signature signature;
+ secp256k1_sha256 hasher;
+ secp256k1_pubkey pubkey;
+ const unsigned char *msg, *sig, *pk;
+ unsigned char out[32] = {0};
+ int actual_verify = 0;
- EC_KEY_free(ec_key);
-}
+ memset(&pubkey, 0, sizeof(pubkey));
+ pk = &wycheproof_ecdsa_public_keys[testvectors[t].pk_offset];
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pk, 65) == 1);
-void run_ecdsa_openssl(void) {
- int i;
- for (i = 0; i < 10*count; i++) {
- test_ecdsa_openssl();
+ secp256k1_sha256_initialize(&hasher);
+ msg = &wycheproof_ecdsa_messages[testvectors[t].msg_offset];
+ secp256k1_sha256_write(&hasher, msg, testvectors[t].msg_len);
+ secp256k1_sha256_finalize(&hasher, out);
+
+ sig = &wycheproof_ecdsa_signatures[testvectors[t].sig_offset];
+ if (secp256k1_ecdsa_signature_parse_der(CTX, &signature, sig, testvectors[t].sig_len) == 1) {
+ actual_verify = secp256k1_ecdsa_verify(CTX, (const secp256k1_ecdsa_signature *)&signature, out, &pubkey);
+ }
+ CHECK(testvectors[t].expected_verify == actual_verify);
}
}
-#endif
+
+/* Tests cases from Wycheproof test suite. */
+static void run_ecdsa_wycheproof(void) {
+ test_ecdsa_wycheproof();
+}
#ifdef ENABLE_MODULE_ECDH
# include "modules/ecdh/tests_impl.h"
#endif
-#ifdef ENABLE_MODULE_SCHNORR
-# include "modules/schnorr/tests_impl.h"
-#endif
-
#ifdef ENABLE_MODULE_RECOVERY
# include "modules/recovery/tests_impl.h"
#endif
+#ifdef ENABLE_MODULE_EXTRAKEYS
+# include "modules/extrakeys/tests_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_SCHNORRSIG
+# include "modules/schnorrsig/tests_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_MUSIG
+# include "modules/musig/tests_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_ELLSWIFT
+# include "modules/ellswift/tests_impl.h"
+#endif
+
+static void run_secp256k1_memczero_test(void) {
+ unsigned char buf1[6] = {1, 2, 3, 4, 5, 6};
+ unsigned char buf2[sizeof(buf1)];
+
+ /* secp256k1_memczero(..., ..., 0) is a noop. */
+ memcpy(buf2, buf1, sizeof(buf1));
+ secp256k1_memczero(buf1, sizeof(buf1), 0);
+ CHECK(secp256k1_memcmp_var(buf1, buf2, sizeof(buf1)) == 0);
+
+ /* secp256k1_memczero(..., ..., 1) zeros the buffer. */
+ memset(buf2, 0, sizeof(buf2));
+ secp256k1_memczero(buf1, sizeof(buf1) , 1);
+ CHECK(secp256k1_memcmp_var(buf1, buf2, sizeof(buf1)) == 0);
+}
+
+
+static void run_secp256k1_is_zero_array_test(void) {
+ unsigned char buf1[3] = {0, 1};
+ unsigned char buf2[3] = {1, 0};
+
+ CHECK(secp256k1_is_zero_array(buf1, 0) == 1);
+ CHECK(secp256k1_is_zero_array(buf1, 1) == 1);
+ CHECK(secp256k1_is_zero_array(buf1, 2) == 0);
+ CHECK(secp256k1_is_zero_array(buf2, 1) == 0);
+ CHECK(secp256k1_is_zero_array(buf2, 2) == 0);
+}
+
+static void run_secp256k1_byteorder_tests(void) {
+ {
+ const uint32_t x = 0xFF03AB45;
+ const unsigned char x_be[4] = {0xFF, 0x03, 0xAB, 0x45};
+ unsigned char buf[4];
+ uint32_t x_;
+
+ secp256k1_write_be32(buf, x);
+ CHECK(secp256k1_memcmp_var(buf, x_be, sizeof(buf)) == 0);
+
+ x_ = secp256k1_read_be32(buf);
+ CHECK(x == x_);
+ }
+
+ {
+ const uint64_t x = 0xCAFE0123BEEF4567;
+ const unsigned char x_be[8] = {0xCA, 0xFE, 0x01, 0x23, 0xBE, 0xEF, 0x45, 0x67};
+ unsigned char buf[8];
+ uint64_t x_;
+
+ secp256k1_write_be64(buf, x);
+ CHECK(secp256k1_memcmp_var(buf, x_be, sizeof(buf)) == 0);
+
+ x_ = secp256k1_read_be64(buf);
+ CHECK(x == x_);
+ }
+}
+
+static void int_cmov_test(void) {
+ int r = INT_MAX;
+ int a = 0;
+
+ secp256k1_int_cmov(&r, &a, 0);
+ CHECK(r == INT_MAX);
+
+ r = 0; a = INT_MAX;
+ secp256k1_int_cmov(&r, &a, 1);
+ CHECK(r == INT_MAX);
+
+ a = 0;
+ secp256k1_int_cmov(&r, &a, 1);
+ CHECK(r == 0);
+
+ a = 1;
+ secp256k1_int_cmov(&r, &a, 1);
+ CHECK(r == 1);
+
+ r = 1; a = 0;
+ secp256k1_int_cmov(&r, &a, 0);
+ CHECK(r == 1);
+
+}
+
+static void fe_cmov_test(void) {
+ static const secp256k1_fe zero = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0);
+ static const secp256k1_fe one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
+ static const secp256k1_fe max = SECP256K1_FE_CONST(
+ 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL,
+ 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL
+ );
+ secp256k1_fe r = max;
+ secp256k1_fe a = zero;
+
+ secp256k1_fe_cmov(&r, &a, 0);
+ CHECK(fe_identical(&r, &max));
+
+ r = zero; a = max;
+ secp256k1_fe_cmov(&r, &a, 1);
+ CHECK(fe_identical(&r, &max));
+
+ a = zero;
+ secp256k1_fe_cmov(&r, &a, 1);
+ CHECK(fe_identical(&r, &zero));
+
+ a = one;
+ secp256k1_fe_cmov(&r, &a, 1);
+ CHECK(fe_identical(&r, &one));
+
+ r = one; a = zero;
+ secp256k1_fe_cmov(&r, &a, 0);
+ CHECK(fe_identical(&r, &one));
+}
+
+static void fe_storage_cmov_test(void) {
+ static const secp256k1_fe_storage zero = SECP256K1_FE_STORAGE_CONST(0, 0, 0, 0, 0, 0, 0, 0);
+ static const secp256k1_fe_storage one = SECP256K1_FE_STORAGE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
+ static const secp256k1_fe_storage max = SECP256K1_FE_STORAGE_CONST(
+ 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL,
+ 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL
+ );
+ secp256k1_fe_storage r = max;
+ secp256k1_fe_storage a = zero;
+
+ secp256k1_fe_storage_cmov(&r, &a, 0);
+ CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0);
+
+ r = zero; a = max;
+ secp256k1_fe_storage_cmov(&r, &a, 1);
+ CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0);
+
+ a = zero;
+ secp256k1_fe_storage_cmov(&r, &a, 1);
+ CHECK(secp256k1_memcmp_var(&r, &zero, sizeof(r)) == 0);
+
+ a = one;
+ secp256k1_fe_storage_cmov(&r, &a, 1);
+ CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0);
+
+ r = one; a = zero;
+ secp256k1_fe_storage_cmov(&r, &a, 0);
+ CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0);
+}
+
+static void scalar_cmov_test(void) {
+ static const secp256k1_scalar max = SECP256K1_SCALAR_CONST(
+ 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL,
+ 0xBAAEDCE6UL, 0xAF48A03BUL, 0xBFD25E8CUL, 0xD0364140UL
+ );
+ secp256k1_scalar r = max;
+ secp256k1_scalar a = secp256k1_scalar_zero;
+
+ secp256k1_scalar_cmov(&r, &a, 0);
+ CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0);
+
+ r = secp256k1_scalar_zero; a = max;
+ secp256k1_scalar_cmov(&r, &a, 1);
+ CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0);
+
+ a = secp256k1_scalar_zero;
+ secp256k1_scalar_cmov(&r, &a, 1);
+ CHECK(secp256k1_memcmp_var(&r, &secp256k1_scalar_zero, sizeof(r)) == 0);
+
+ a = secp256k1_scalar_one;
+ secp256k1_scalar_cmov(&r, &a, 1);
+ CHECK(secp256k1_memcmp_var(&r, &secp256k1_scalar_one, sizeof(r)) == 0);
+
+ r = secp256k1_scalar_one; a = secp256k1_scalar_zero;
+ secp256k1_scalar_cmov(&r, &a, 0);
+ CHECK(secp256k1_memcmp_var(&r, &secp256k1_scalar_one, sizeof(r)) == 0);
+}
+
+static void ge_storage_cmov_test(void) {
+ static const secp256k1_ge_storage zero = SECP256K1_GE_STORAGE_CONST(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);
+ static const secp256k1_ge_storage one = SECP256K1_GE_STORAGE_CONST(0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1);
+ static const secp256k1_ge_storage max = SECP256K1_GE_STORAGE_CONST(
+ 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL,
+ 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL,
+ 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL,
+ 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL
+ );
+ secp256k1_ge_storage r = max;
+ secp256k1_ge_storage a = zero;
+
+ secp256k1_ge_storage_cmov(&r, &a, 0);
+ CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0);
+
+ r = zero; a = max;
+ secp256k1_ge_storage_cmov(&r, &a, 1);
+ CHECK(secp256k1_memcmp_var(&r, &max, sizeof(r)) == 0);
+
+ a = zero;
+ secp256k1_ge_storage_cmov(&r, &a, 1);
+ CHECK(secp256k1_memcmp_var(&r, &zero, sizeof(r)) == 0);
+
+ a = one;
+ secp256k1_ge_storage_cmov(&r, &a, 1);
+ CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0);
+
+ r = one; a = zero;
+ secp256k1_ge_storage_cmov(&r, &a, 0);
+ CHECK(secp256k1_memcmp_var(&r, &one, sizeof(r)) == 0);
+}
+
+static void run_cmov_tests(void) {
+ int_cmov_test();
+ fe_cmov_test();
+ fe_storage_cmov_test();
+ scalar_cmov_test();
+ ge_storage_cmov_test();
+}
+
int main(int argc, char **argv) {
- unsigned char seed16[16] = {0};
- unsigned char run32[32] = {0};
+ /* Disable buffering for stdout to improve reliability of getting
+ * diagnostic information. Happens right at the start of main because
+ * setbuf must be used before any other operation on the stream. */
+ setbuf(stdout, NULL);
+ /* Also disable buffering for stderr because it's not guaranteed that it's
+ * unbuffered on all systems. */
+ setbuf(stderr, NULL);
+
/* find iteration count */
if (argc > 1) {
- count = strtol(argv[1], NULL, 0);
- }
-
- /* find random seed */
- if (argc > 2) {
- int pos = 0;
- const char* ch = argv[2];
- while (pos < 16 && ch[0] != 0 && ch[1] != 0) {
- unsigned short sh;
- if (sscanf(ch, "%2hx", &sh)) {
- seed16[pos] = sh;
- } else {
- break;
- }
- ch += 2;
- pos++;
- }
+ COUNT = strtol(argv[1], NULL, 0);
} else {
- FILE *frand = fopen("/dev/urandom", "r");
- if ((frand == NULL) || !fread(&seed16, sizeof(seed16), 1, frand)) {
- uint64_t t = time(NULL) * (uint64_t)1337;
- seed16[0] ^= t;
- seed16[1] ^= t >> 8;
- seed16[2] ^= t >> 16;
- seed16[3] ^= t >> 24;
- seed16[4] ^= t >> 32;
- seed16[5] ^= t >> 40;
- seed16[6] ^= t >> 48;
- seed16[7] ^= t >> 56;
+ const char* env = getenv("SECP256K1_TEST_ITERS");
+ if (env && strlen(env) > 0) {
+ COUNT = strtol(env, NULL, 0);
}
- fclose(frand);
}
- secp256k1_rand_seed(seed16);
+ if (COUNT <= 0) {
+ fputs("An iteration count of 0 or less is not allowed.\n", stderr);
+ return EXIT_FAILURE;
+ }
+ printf("test count = %i\n", COUNT);
- printf("test count = %i\n", count);
- printf("random seed = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", seed16[0], seed16[1], seed16[2], seed16[3], seed16[4], seed16[5], seed16[6], seed16[7], seed16[8], seed16[9], seed16[10], seed16[11], seed16[12], seed16[13], seed16[14], seed16[15]);
+ /* run test RNG tests (must run before we really initialize the test RNG) */
+ run_xoshiro256pp_tests();
- /* initialize */
- run_context_tests();
- ctx = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
- if (secp256k1_rand_bits(1)) {
- secp256k1_rand256(run32);
- CHECK(ethkit_secp256k1_context_randomize(ctx, secp256k1_rand_bits(1) ? run32 : NULL));
- }
+ /* find random seed */
+ testrand_init(argc > 2 ? argv[2] : NULL);
+
+ /*** Setup test environment ***/
+
+ /* Create a global context available to all tests */
+ CTX = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+ /* Randomize the context only with probability 15/16
+ to make sure we test without context randomization from time to time.
+ TODO Reconsider this when recalibrating the tests. */
+ if (testrand_bits(4)) {
+ unsigned char rand32[32];
+ testrand256(rand32);
+ CHECK(secp256k1_context_randomize(CTX, rand32));
+ }
+ /* Make a writable copy of secp256k1_context_static in order to test the effect of API functions
+ that write to the context. The API does not support cloning the static context, so we use
+ memcpy instead. The user is not supposed to copy a context but we should still ensure that
+ the API functions handle copies of the static context gracefully. */
+ STATIC_CTX = malloc(sizeof(*secp256k1_context_static));
+ CHECK(STATIC_CTX != NULL);
+ memcpy(STATIC_CTX, secp256k1_context_static, sizeof(secp256k1_context));
+ CHECK(!secp256k1_context_is_proper(STATIC_CTX));
+
+ /*** Run actual tests ***/
+
+ /* selftest tests */
+ run_selftest_tests();
+
+ /* context tests */
+ run_proper_context_tests(0); run_proper_context_tests(1);
+ run_static_context_tests(0); run_static_context_tests(1);
+ run_deprecated_context_flags_test();
+
+ /* scratch tests */
+ run_scratch_tests();
+
+ /* integer arithmetic tests */
+#ifdef SECP256K1_WIDEMUL_INT128
+ run_int128_tests();
+#endif
+ run_ctz_tests();
+ run_modinv_tests();
+ run_inverse_tests();
- run_rand_bits();
- run_rand_int();
+ /* sorting tests */
+ run_hsort_tests();
- run_sha256_tests();
+ /* hash tests */
+ run_sha256_known_output_tests();
+ run_sha256_counter_tests();
run_hmac_sha256_tests();
run_rfc6979_hmac_sha256_tests();
-
-#ifndef USE_NUM_NONE
- /* num tests */
- run_num_smalltests();
-#endif
+ run_tagged_sha256_tests();
/* scalar tests */
run_scalar_tests();
/* field tests */
- run_field_inv();
- run_field_inv_var();
- run_field_inv_all_var();
+ run_field_half();
run_field_misc();
run_field_convert();
+ run_field_be32_overflow();
+ run_fe_mul();
run_sqr();
run_sqrt();
/* group tests */
run_ge();
+ run_gej();
run_group_decompress();
/* ecmult tests */
+ run_ecmult_pre_g();
run_wnaf();
run_point_times_order();
+ run_ecmult_near_split_bound();
run_ecmult_chain();
run_ecmult_constants();
run_ecmult_gen_blind();
run_ecmult_const_tests();
+ run_ecmult_multi_tests();
run_ec_combine();
/* endomorphism tests */
-#ifdef USE_ENDOMORPHISM
run_endomorphism_tests();
-#endif
/* EC point parser test */
run_ec_pubkey_parse_test();
@@ -4489,37 +7783,59 @@ int main(int argc, char **argv) {
/* EC key edge cases */
run_eckey_edge_case_test();
+ /* EC key arithmetic test */
+ run_eckey_negate_test();
+
#ifdef ENABLE_MODULE_ECDH
/* ecdh tests */
run_ecdh_tests();
#endif
/* ecdsa tests */
+ run_ec_illegal_argument_tests();
+ run_pubkey_comparison();
+ run_pubkey_sort();
run_random_pubkeys();
run_ecdsa_der_parse();
run_ecdsa_sign_verify();
run_ecdsa_end_to_end();
run_ecdsa_edge_cases();
-#ifdef ENABLE_OPENSSL_TESTS
- run_ecdsa_openssl();
-#endif
-
-#ifdef ENABLE_MODULE_SCHNORR
- /* Schnorr tests */
- run_schnorr_tests();
-#endif
+ run_ecdsa_wycheproof();
#ifdef ENABLE_MODULE_RECOVERY
/* ECDSA pubkey recovery tests */
run_recovery_tests();
#endif
- secp256k1_rand256(run32);
- printf("random run = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", run32[0], run32[1], run32[2], run32[3], run32[4], run32[5], run32[6], run32[7], run32[8], run32[9], run32[10], run32[11], run32[12], run32[13], run32[14], run32[15]);
+#ifdef ENABLE_MODULE_EXTRAKEYS
+ run_extrakeys_tests();
+#endif
+
+#ifdef ENABLE_MODULE_SCHNORRSIG
+ run_schnorrsig_tests();
+#endif
+
+#ifdef ENABLE_MODULE_MUSIG
+ run_musig_tests();
+#endif
+
+#ifdef ENABLE_MODULE_ELLSWIFT
+ run_ellswift_tests();
+#endif
+
+ /* util tests */
+ run_secp256k1_memczero_test();
+ run_secp256k1_is_zero_array_test();
+ run_secp256k1_byteorder_tests();
+
+ run_cmov_tests();
- /* shutdown */
- ethkit_secp256k1_context_destroy(ctx);
+ /*** Tear down test environment ***/
+ free(STATIC_CTX);
+ secp256k1_context_destroy(CTX);
+
+ testrand_finish();
printf("no problems found\n");
- return 0;
+ return EXIT_SUCCESS;
}
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/tests_exhaustive.c b/go-ethereum/crypto/secp256k1/libsecp256k1/src/tests_exhaustive.c
index 02375298..f8bbcaaf 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/tests_exhaustive.c
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/tests_exhaustive.c
@@ -1,75 +1,48 @@
/***********************************************************************
- * Copyright (c) 2016 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
-#endif
+ * Copyright (c) 2016 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#include
#include
-
#include
-#undef USE_ECMULT_STATIC_PRECOMPUTATION
-
#ifndef EXHAUSTIVE_TEST_ORDER
/* see group_impl.h for allowable values */
#define EXHAUSTIVE_TEST_ORDER 13
-#define EXHAUSTIVE_TEST_LAMBDA 9 /* cube root of 1 mod 13 */
#endif
-#include "include/secp256k1.h"
-#include "group.h"
-#include "secp256k1.c"
-#include "testrand_impl.h"
+/* These values of B are all values in [1, 8] that result in a curve with even order. */
+#define EXHAUSTIVE_TEST_CURVE_HAS_EVEN_ORDER (SECP256K1_B == 1 || SECP256K1_B == 6 || SECP256K1_B == 8)
-#ifdef ENABLE_MODULE_RECOVERY
-#include "src/modules/recovery/main_impl.h"
-#include "include/secp256k1_recovery.h"
+#ifdef USE_EXTERNAL_DEFAULT_CALLBACKS
+ #pragma message("Ignoring USE_EXTERNAL_CALLBACKS in exhaustive_tests.")
+ #undef USE_EXTERNAL_DEFAULT_CALLBACKS
#endif
+#include "secp256k1.c"
-/** stolen from tests.c */
-void ge_equals_ge(const secp256k1_ge *a, const secp256k1_ge *b) {
- CHECK(a->infinity == b->infinity);
- if (a->infinity) {
- return;
- }
- CHECK(secp256k1_fe_equal_var(&a->x, &b->x));
- CHECK(secp256k1_fe_equal_var(&a->y, &b->y));
-}
+#include "../include/secp256k1.h"
+#include "assumptions.h"
+#include "group.h"
+#include "testrand_impl.h"
+#include "ecmult_compute_table_impl.h"
+#include "ecmult_gen_compute_table_impl.h"
+#include "testutil.h"
+#include "util.h"
-void ge_equals_gej(const secp256k1_ge *a, const secp256k1_gej *b) {
- secp256k1_fe z2s;
- secp256k1_fe u1, u2, s1, s2;
- CHECK(a->infinity == b->infinity);
- if (a->infinity) {
- return;
- }
- /* Check a.x * b.z^2 == b.x && a.y * b.z^3 == b.y, to avoid inverses. */
- secp256k1_fe_sqr(&z2s, &b->z);
- secp256k1_fe_mul(&u1, &a->x, &z2s);
- u2 = b->x; secp256k1_fe_normalize_weak(&u2);
- secp256k1_fe_mul(&s1, &a->y, &z2s); secp256k1_fe_mul(&s1, &s1, &b->z);
- s2 = b->y; secp256k1_fe_normalize_weak(&s2);
- CHECK(secp256k1_fe_equal_var(&u1, &u2));
- CHECK(secp256k1_fe_equal_var(&s1, &s2));
-}
+static int count = 2;
-void random_fe(secp256k1_fe *x) {
- unsigned char bin[32];
- do {
- secp256k1_rand256(bin);
- if (secp256k1_fe_set_b32(x, bin)) {
- return;
- }
- } while(1);
+static uint32_t num_cores = 1;
+static uint32_t this_core = 0;
+
+SECP256K1_INLINE static int skip_section(uint64_t* iter) {
+ if (num_cores == 1) return 0;
+ *iter += 0xe7037ed1a0b428dbULL;
+ return ((((uint32_t)*iter ^ (*iter >> 32)) * num_cores) >> 32) != this_core;
}
-/** END stolen from tests.c */
-int secp256k1_nonce_function_smallint(unsigned char *nonce32, const unsigned char *msg32,
+static int secp256k1_nonce_function_smallint(unsigned char *nonce32, const unsigned char *msg32,
const unsigned char *key32, const unsigned char *algo16,
void *data, unsigned int attempt) {
secp256k1_scalar s;
@@ -89,115 +62,184 @@ int secp256k1_nonce_function_smallint(unsigned char *nonce32, const unsigned cha
return 1;
}
-#ifdef USE_ENDOMORPHISM
-void test_exhaustive_endomorphism(const secp256k1_ge *group, int order) {
+static void test_exhaustive_endomorphism(const secp256k1_ge *group) {
int i;
- for (i = 0; i < order; i++) {
+ for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) {
secp256k1_ge res;
secp256k1_ge_mul_lambda(&res, &group[i]);
- ge_equals_ge(&group[i * EXHAUSTIVE_TEST_LAMBDA % EXHAUSTIVE_TEST_ORDER], &res);
+ CHECK(secp256k1_ge_eq_var(&group[i * EXHAUSTIVE_TEST_LAMBDA % EXHAUSTIVE_TEST_ORDER], &res));
}
}
-#endif
-void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_gej *groupj, int order) {
+static void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_gej *groupj) {
int i, j;
+ uint64_t iter = 0;
/* Sanity-check (and check infinity functions) */
CHECK(secp256k1_ge_is_infinity(&group[0]));
CHECK(secp256k1_gej_is_infinity(&groupj[0]));
- for (i = 1; i < order; i++) {
+ for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) {
CHECK(!secp256k1_ge_is_infinity(&group[i]));
CHECK(!secp256k1_gej_is_infinity(&groupj[i]));
}
/* Check all addition formulae */
- for (j = 0; j < order; j++) {
+ for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) {
secp256k1_fe fe_inv;
+ if (skip_section(&iter)) continue;
secp256k1_fe_inv(&fe_inv, &groupj[j].z);
- for (i = 0; i < order; i++) {
+ for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) {
secp256k1_ge zless_gej;
secp256k1_gej tmp;
/* add_var */
secp256k1_gej_add_var(&tmp, &groupj[i], &groupj[j], NULL);
- ge_equals_gej(&group[(i + j) % order], &tmp);
+ CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER]));
/* add_ge */
if (j > 0) {
secp256k1_gej_add_ge(&tmp, &groupj[i], &group[j]);
- ge_equals_gej(&group[(i + j) % order], &tmp);
+ CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER]));
}
/* add_ge_var */
secp256k1_gej_add_ge_var(&tmp, &groupj[i], &group[j], NULL);
- ge_equals_gej(&group[(i + j) % order], &tmp);
+ CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER]));
/* add_zinv_var */
zless_gej.infinity = groupj[j].infinity;
zless_gej.x = groupj[j].x;
zless_gej.y = groupj[j].y;
secp256k1_gej_add_zinv_var(&tmp, &groupj[i], &zless_gej, &fe_inv);
- ge_equals_gej(&group[(i + j) % order], &tmp);
+ CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i + j) % EXHAUSTIVE_TEST_ORDER]));
}
}
/* Check doubling */
- for (i = 0; i < order; i++) {
+ for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) {
secp256k1_gej tmp;
- if (i > 0) {
- secp256k1_gej_double_nonzero(&tmp, &groupj[i], NULL);
- ge_equals_gej(&group[(2 * i) % order], &tmp);
- }
+ secp256k1_gej_double(&tmp, &groupj[i]);
+ CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(2 * i) % EXHAUSTIVE_TEST_ORDER]));
secp256k1_gej_double_var(&tmp, &groupj[i], NULL);
- ge_equals_gej(&group[(2 * i) % order], &tmp);
+ CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(2 * i) % EXHAUSTIVE_TEST_ORDER]));
}
/* Check negation */
- for (i = 1; i < order; i++) {
+ for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) {
secp256k1_ge tmp;
secp256k1_gej tmpj;
secp256k1_ge_neg(&tmp, &group[i]);
- ge_equals_ge(&group[order - i], &tmp);
+ CHECK(secp256k1_ge_eq_var(&tmp, &group[EXHAUSTIVE_TEST_ORDER - i]));
secp256k1_gej_neg(&tmpj, &groupj[i]);
- ge_equals_gej(&group[order - i], &tmpj);
+ CHECK(secp256k1_gej_eq_ge_var(&tmpj, &group[EXHAUSTIVE_TEST_ORDER - i]));
}
}
-void test_exhaustive_ecmult(const secp256k1_context *ctx, const secp256k1_ge *group, const secp256k1_gej *groupj, int order) {
+static void test_exhaustive_ecmult(const secp256k1_ge *group, const secp256k1_gej *groupj) {
int i, j, r_log;
- for (r_log = 1; r_log < order; r_log++) {
- for (j = 0; j < order; j++) {
- for (i = 0; i < order; i++) {
+ uint64_t iter = 0;
+ for (r_log = 1; r_log < EXHAUSTIVE_TEST_ORDER; r_log++) {
+ for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) {
+ if (skip_section(&iter)) continue;
+ for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) {
secp256k1_gej tmp;
secp256k1_scalar na, ng;
secp256k1_scalar_set_int(&na, i);
secp256k1_scalar_set_int(&ng, j);
- secp256k1_ecmult(&ctx->ecmult_ctx, &tmp, &groupj[r_log], &na, &ng);
- ge_equals_gej(&group[(i * r_log + j) % order], &tmp);
+ secp256k1_ecmult(&tmp, &groupj[r_log], &na, &ng);
+ CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i * r_log + j) % EXHAUSTIVE_TEST_ORDER]));
+ }
+ }
+ }
+
+ for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) {
+ for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) {
+ int ret;
+ secp256k1_gej tmp;
+ secp256k1_fe xn, xd, tmpf;
+ secp256k1_scalar ng;
+
+ if (skip_section(&iter)) continue;
+
+ secp256k1_scalar_set_int(&ng, j);
- if (i > 0) {
- secp256k1_ecmult_const(&tmp, &group[i], &ng);
- ge_equals_gej(&group[(i * j) % order], &tmp);
+ /* Test secp256k1_ecmult_const. */
+ secp256k1_ecmult_const(&tmp, &group[i], &ng);
+ CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i * j) % EXHAUSTIVE_TEST_ORDER]));
+
+ if (i != 0 && j != 0) {
+ /* Test secp256k1_ecmult_const_xonly with all curve X coordinates, and xd=NULL. */
+ ret = secp256k1_ecmult_const_xonly(&tmpf, &group[i].x, NULL, &ng, 0);
+ CHECK(ret);
+ CHECK(secp256k1_fe_equal(&tmpf, &group[(i * j) % EXHAUSTIVE_TEST_ORDER].x));
+
+ /* Test secp256k1_ecmult_const_xonly with all curve X coordinates, with random xd. */
+ testutil_random_fe_non_zero(&xd);
+ secp256k1_fe_mul(&xn, &xd, &group[i].x);
+ ret = secp256k1_ecmult_const_xonly(&tmpf, &xn, &xd, &ng, 0);
+ CHECK(ret);
+ CHECK(secp256k1_fe_equal(&tmpf, &group[(i * j) % EXHAUSTIVE_TEST_ORDER].x));
+ }
+ }
+ }
+}
+
+typedef struct {
+ secp256k1_scalar sc[2];
+ secp256k1_ge pt[2];
+} ecmult_multi_data;
+
+static int ecmult_multi_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *cbdata) {
+ ecmult_multi_data *data = (ecmult_multi_data*) cbdata;
+ *sc = data->sc[idx];
+ *pt = data->pt[idx];
+ return 1;
+}
+
+static void test_exhaustive_ecmult_multi(const secp256k1_context *ctx, const secp256k1_ge *group) {
+ int i, j, k, x, y;
+ uint64_t iter = 0;
+ secp256k1_scratch *scratch = secp256k1_scratch_create(&ctx->error_callback, 4096);
+ for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) {
+ for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) {
+ for (k = 0; k < EXHAUSTIVE_TEST_ORDER; k++) {
+ for (x = 0; x < EXHAUSTIVE_TEST_ORDER; x++) {
+ if (skip_section(&iter)) continue;
+ for (y = 0; y < EXHAUSTIVE_TEST_ORDER; y++) {
+ secp256k1_gej tmp;
+ secp256k1_scalar g_sc;
+ ecmult_multi_data data;
+
+ secp256k1_scalar_set_int(&data.sc[0], i);
+ secp256k1_scalar_set_int(&data.sc[1], j);
+ secp256k1_scalar_set_int(&g_sc, k);
+ data.pt[0] = group[x];
+ data.pt[1] = group[y];
+
+ secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &tmp, &g_sc, ecmult_multi_callback, &data, 2);
+ CHECK(secp256k1_gej_eq_ge_var(&tmp, &group[(i * x + j * y + k) % EXHAUSTIVE_TEST_ORDER]));
+ }
}
}
}
}
+ secp256k1_scratch_destroy(&ctx->error_callback, scratch);
}
-void r_from_k(secp256k1_scalar *r, const secp256k1_ge *group, int k) {
+static void r_from_k(secp256k1_scalar *r, const secp256k1_ge *group, int k, int* overflow) {
secp256k1_fe x;
unsigned char x_bin[32];
k %= EXHAUSTIVE_TEST_ORDER;
x = group[k].x;
secp256k1_fe_normalize(&x);
secp256k1_fe_get_b32(x_bin, &x);
- secp256k1_scalar_set_b32(r, x_bin, NULL);
+ secp256k1_scalar_set_b32(r, x_bin, overflow);
}
-void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *group, int order) {
+static void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *group) {
int s, r, msg, key;
- for (s = 1; s < order; s++) {
- for (r = 1; r < order; r++) {
- for (msg = 1; msg < order; msg++) {
- for (key = 1; key < order; key++) {
+ uint64_t iter = 0;
+ for (s = 1; s < EXHAUSTIVE_TEST_ORDER; s++) {
+ for (r = 1; r < EXHAUSTIVE_TEST_ORDER; r++) {
+ for (msg = 1; msg < EXHAUSTIVE_TEST_ORDER; msg++) {
+ for (key = 1; key < EXHAUSTIVE_TEST_ORDER; key++) {
secp256k1_ge nonconst_ge;
secp256k1_ecdsa_signature sig;
secp256k1_pubkey pk;
@@ -206,6 +248,8 @@ void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *gr
int k, should_verify;
unsigned char msg32[32];
+ if (skip_section(&iter)) continue;
+
secp256k1_scalar_set_int(&s_s, s);
secp256k1_scalar_set_int(&r_s, r);
secp256k1_scalar_set_int(&msg_s, msg);
@@ -215,9 +259,9 @@ void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *gr
/* Run through every k value that gives us this r and check that *one* works.
* Note there could be none, there could be multiple, ECDSA is weird. */
should_verify = 0;
- for (k = 0; k < order; k++) {
+ for (k = 0; k < EXHAUSTIVE_TEST_ORDER; k++) {
secp256k1_scalar check_x_s;
- r_from_k(&check_x_s, group, k);
+ r_from_k(&check_x_s, group, k, NULL);
if (r_s == check_x_s) {
secp256k1_scalar_set_int(&s_times_k_s, k);
secp256k1_scalar_mul(&s_times_k_s, &s_times_k_s, &s_s);
@@ -235,21 +279,24 @@ void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *gr
secp256k1_pubkey_save(&pk, &nonconst_ge);
secp256k1_scalar_get_b32(msg32, &msg_s);
CHECK(should_verify ==
- ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pk));
+ secp256k1_ecdsa_verify(ctx, &sig, msg32, &pk));
}
}
}
}
}
-void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *group, int order) {
+static void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *group) {
int i, j, k;
+ uint64_t iter = 0;
/* Loop */
- for (i = 1; i < order; i++) { /* message */
- for (j = 1; j < order; j++) { /* key */
- for (k = 1; k < order; k++) { /* nonce */
+ for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { /* message */
+ for (j = 1; j < EXHAUSTIVE_TEST_ORDER; j++) { /* key */
+ if (skip_section(&iter)) continue;
+ for (k = 1; k < EXHAUSTIVE_TEST_ORDER; k++) { /* nonce */
const int starting_k = k;
+ int ret;
secp256k1_ecdsa_signature sig;
secp256k1_scalar sk, msg, r, s, expected_r;
unsigned char sk32[32], msg32[32];
@@ -258,16 +305,17 @@ void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *grou
secp256k1_scalar_get_b32(sk32, &sk);
secp256k1_scalar_get_b32(msg32, &msg);
- ethkit_secp256k1_ecdsa_sign(ctx, &sig, msg32, sk32, secp256k1_nonce_function_smallint, &k);
+ ret = secp256k1_ecdsa_sign(ctx, &sig, msg32, sk32, secp256k1_nonce_function_smallint, &k);
+ CHECK(ret == 1);
secp256k1_ecdsa_signature_load(ctx, &r, &s, &sig);
/* Note that we compute expected_r *after* signing -- this is important
* because our nonce-computing function function might change k during
* signing. */
- r_from_k(&expected_r, group, k);
+ r_from_k(&expected_r, group, k, NULL);
CHECK(r == expected_r);
- CHECK((k * s) % order == (i + r * j) % order ||
- (k * (EXHAUSTIVE_TEST_ORDER - s)) % order == (i + r * j) % order);
+ CHECK((k * s) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER ||
+ (k * (EXHAUSTIVE_TEST_ORDER - s)) % EXHAUSTIVE_TEST_ORDER == (i + r * j) % EXHAUSTIVE_TEST_ORDER);
/* Overflow means we've tried every possible nonce */
if (k < starting_k) {
@@ -288,183 +336,131 @@ void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *grou
}
#ifdef ENABLE_MODULE_RECOVERY
-void test_exhaustive_recovery_sign(const secp256k1_context *ctx, const secp256k1_ge *group, int order) {
- int i, j, k;
-
- /* Loop */
- for (i = 1; i < order; i++) { /* message */
- for (j = 1; j < order; j++) { /* key */
- for (k = 1; k < order; k++) { /* nonce */
- const int starting_k = k;
- secp256k1_fe r_dot_y_normalized;
- secp256k1_ecdsa_recoverable_signature rsig;
- secp256k1_ecdsa_signature sig;
- secp256k1_scalar sk, msg, r, s, expected_r;
- unsigned char sk32[32], msg32[32];
- int expected_recid;
- int recid;
- secp256k1_scalar_set_int(&msg, i);
- secp256k1_scalar_set_int(&sk, j);
- secp256k1_scalar_get_b32(sk32, &sk);
- secp256k1_scalar_get_b32(msg32, &msg);
+#include "modules/recovery/tests_exhaustive_impl.h"
+#endif
- ethkit_secp256k1_ecdsa_sign_recoverable(ctx, &rsig, msg32, sk32, secp256k1_nonce_function_smallint, &k);
+#ifdef ENABLE_MODULE_EXTRAKEYS
+#include "modules/extrakeys/tests_exhaustive_impl.h"
+#endif
- /* Check directly */
- secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, &rsig);
- r_from_k(&expected_r, group, k);
- CHECK(r == expected_r);
- CHECK((k * s) % order == (i + r * j) % order ||
- (k * (EXHAUSTIVE_TEST_ORDER - s)) % order == (i + r * j) % order);
- /* In computing the recid, there is an overflow condition that is disabled in
- * scalar_low_impl.h `secp256k1_scalar_set_b32` because almost every r.y value
- * will exceed the group order, and our signing code always holds out for r
- * values that don't overflow, so with a proper overflow check the tests would
- * loop indefinitely. */
- r_dot_y_normalized = group[k].y;
- secp256k1_fe_normalize(&r_dot_y_normalized);
- /* Also the recovery id is flipped depending if we hit the low-s branch */
- if ((k * s) % order == (i + r * j) % order) {
- expected_recid = secp256k1_fe_is_odd(&r_dot_y_normalized) ? 1 : 0;
- } else {
- expected_recid = secp256k1_fe_is_odd(&r_dot_y_normalized) ? 0 : 1;
- }
- CHECK(recid == expected_recid);
+#ifdef ENABLE_MODULE_SCHNORRSIG
+#include "modules/schnorrsig/tests_exhaustive_impl.h"
+#endif
- /* Convert to a standard sig then check */
- ethkit_secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig);
- secp256k1_ecdsa_signature_load(ctx, &r, &s, &sig);
- /* Note that we compute expected_r *after* signing -- this is important
- * because our nonce-computing function function might change k during
- * signing. */
- r_from_k(&expected_r, group, k);
- CHECK(r == expected_r);
- CHECK((k * s) % order == (i + r * j) % order ||
- (k * (EXHAUSTIVE_TEST_ORDER - s)) % order == (i + r * j) % order);
+#ifdef ENABLE_MODULE_ELLSWIFT
+#include "modules/ellswift/tests_exhaustive_impl.h"
+#endif
- /* Overflow means we've tried every possible nonce */
- if (k < starting_k) {
- break;
- }
- }
+int main(int argc, char** argv) {
+ int i;
+ secp256k1_gej groupj[EXHAUSTIVE_TEST_ORDER];
+ secp256k1_ge group[EXHAUSTIVE_TEST_ORDER];
+ unsigned char rand32[32];
+ secp256k1_context *ctx;
+
+ /* Disable buffering for stdout to improve reliability of getting
+ * diagnostic information. Happens right at the start of main because
+ * setbuf must be used before any other operation on the stream. */
+ setbuf(stdout, NULL);
+ /* Also disable buffering for stderr because it's not guaranteed that it's
+ * unbuffered on all systems. */
+ setbuf(stderr, NULL);
+
+ printf("Exhaustive tests for order %lu\n", (unsigned long)EXHAUSTIVE_TEST_ORDER);
+
+ /* find iteration count */
+ if (argc > 1) {
+ count = strtol(argv[1], NULL, 0);
+ }
+ printf("test count = %i\n", count);
+
+ /* find random seed */
+ testrand_init(argc > 2 ? argv[2] : NULL);
+
+ /* set up split processing */
+ if (argc > 4) {
+ num_cores = strtol(argv[3], NULL, 0);
+ this_core = strtol(argv[4], NULL, 0);
+ if (num_cores < 1 || this_core >= num_cores) {
+ fprintf(stderr, "Usage: %s [count] [seed] [numcores] [thiscore]\n", argv[0]);
+ return EXIT_FAILURE;
}
+ printf("running tests for core %lu (out of [0..%lu])\n", (unsigned long)this_core, (unsigned long)num_cores - 1);
}
-}
-void test_exhaustive_recovery_verify(const secp256k1_context *ctx, const secp256k1_ge *group, int order) {
- /* This is essentially a copy of test_exhaustive_verify, with recovery added */
- int s, r, msg, key;
- for (s = 1; s < order; s++) {
- for (r = 1; r < order; r++) {
- for (msg = 1; msg < order; msg++) {
- for (key = 1; key < order; key++) {
- secp256k1_ge nonconst_ge;
- secp256k1_ecdsa_recoverable_signature rsig;
- secp256k1_ecdsa_signature sig;
- secp256k1_pubkey pk;
- secp256k1_scalar sk_s, msg_s, r_s, s_s;
- secp256k1_scalar s_times_k_s, msg_plus_r_times_sk_s;
- int recid = 0;
- int k, should_verify;
- unsigned char msg32[32];
+ /* Recreate the ecmult{,_gen} tables using the right generator (as selected via EXHAUSTIVE_TEST_ORDER) */
+ secp256k1_ecmult_gen_compute_table(&secp256k1_ecmult_gen_prec_table[0][0], &secp256k1_ge_const_g, COMB_BLOCKS, COMB_TEETH, COMB_SPACING);
+ secp256k1_ecmult_compute_two_tables(secp256k1_pre_g, secp256k1_pre_g_128, WINDOW_G, &secp256k1_ge_const_g);
+
+ while (count--) {
+ /* Build context */
+ ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+ testrand256(rand32);
+ CHECK(secp256k1_context_randomize(ctx, rand32));
+
+ /* Generate the entire group */
+ secp256k1_gej_set_infinity(&groupj[0]);
+ secp256k1_ge_set_gej(&group[0], &groupj[0]);
+ for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) {
+ secp256k1_gej_add_ge(&groupj[i], &groupj[i - 1], &secp256k1_ge_const_g);
+ secp256k1_ge_set_gej(&group[i], &groupj[i]);
+ if (count != 0) {
+ /* Set a different random z-value for each Jacobian point, except z=1
+ is used in the last iteration. */
+ secp256k1_fe z;
+ testutil_random_fe(&z);
+ secp256k1_gej_rescale(&groupj[i], &z);
+ }
- secp256k1_scalar_set_int(&s_s, s);
- secp256k1_scalar_set_int(&r_s, r);
- secp256k1_scalar_set_int(&msg_s, msg);
- secp256k1_scalar_set_int(&sk_s, key);
- secp256k1_scalar_get_b32(msg32, &msg_s);
+ /* Verify against ecmult_gen */
+ {
+ secp256k1_scalar scalar_i;
+ secp256k1_gej generatedj;
+ secp256k1_ge generated;
- /* Verify by hand */
- /* Run through every k value that gives us this r and check that *one* works.
- * Note there could be none, there could be multiple, ECDSA is weird. */
- should_verify = 0;
- for (k = 0; k < order; k++) {
- secp256k1_scalar check_x_s;
- r_from_k(&check_x_s, group, k);
- if (r_s == check_x_s) {
- secp256k1_scalar_set_int(&s_times_k_s, k);
- secp256k1_scalar_mul(&s_times_k_s, &s_times_k_s, &s_s);
- secp256k1_scalar_mul(&msg_plus_r_times_sk_s, &r_s, &sk_s);
- secp256k1_scalar_add(&msg_plus_r_times_sk_s, &msg_plus_r_times_sk_s, &msg_s);
- should_verify |= secp256k1_scalar_eq(&s_times_k_s, &msg_plus_r_times_sk_s);
- }
- }
- /* nb we have a "high s" rule */
- should_verify &= !secp256k1_scalar_is_high(&s_s);
-
- /* We would like to try recovering the pubkey and checking that it matches,
- * but pubkey recovery is impossible in the exhaustive tests (the reason
- * being that there are 12 nonzero r values, 12 nonzero points, and no
- * overlap between the sets, so there are no valid signatures). */
+ secp256k1_scalar_set_int(&scalar_i, i);
+ secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &generatedj, &scalar_i);
+ secp256k1_ge_set_gej(&generated, &generatedj);
- /* Verify by converting to a standard signature and calling verify */
- secp256k1_ecdsa_recoverable_signature_save(&rsig, &r_s, &s_s, recid);
- ethkit_secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig);
- memcpy(&nonconst_ge, &group[sk_s], sizeof(nonconst_ge));
- secp256k1_pubkey_save(&pk, &nonconst_ge);
- CHECK(should_verify ==
- ethkit_secp256k1_ecdsa_verify(ctx, &sig, msg32, &pk));
- }
+ CHECK(group[i].infinity == 0);
+ CHECK(generated.infinity == 0);
+ CHECK(secp256k1_fe_equal(&generated.x, &group[i].x));
+ CHECK(secp256k1_fe_equal(&generated.y, &group[i].y));
}
}
- }
-}
-#endif
-int main(void) {
- int i;
- secp256k1_gej groupj[EXHAUSTIVE_TEST_ORDER];
- secp256k1_ge group[EXHAUSTIVE_TEST_ORDER];
+ /* Run the tests */
+ test_exhaustive_endomorphism(group);
+ test_exhaustive_addition(group, groupj);
+ test_exhaustive_ecmult(group, groupj);
+ test_exhaustive_ecmult_multi(ctx, group);
+ test_exhaustive_sign(ctx, group);
+ test_exhaustive_verify(ctx, group);
- /* Build context */
- secp256k1_context *ctx = ethkit_secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
-
- /* TODO set z = 1, then do num_tests runs with random z values */
+#ifdef ENABLE_MODULE_RECOVERY
+ test_exhaustive_recovery(ctx, group);
+#endif
+#ifdef ENABLE_MODULE_EXTRAKEYS
+ test_exhaustive_extrakeys(ctx, group);
+#endif
+#ifdef ENABLE_MODULE_SCHNORRSIG
+ test_exhaustive_schnorrsig(ctx);
+#endif
+#ifdef ENABLE_MODULE_ELLSWIFT
+ /* The ellswift algorithm does have additional edge cases when operating on
+ * curves of even order, which are not included in the code as secp256k1 is
+ * of odd order. Skip the ellswift tests if the used exhaustive tests curve
+ * is even-ordered accordingly. */
+ #if !EXHAUSTIVE_TEST_CURVE_HAS_EVEN_ORDER
+ test_exhaustive_ellswift(ctx, group);
+ #endif
+#endif
- /* Generate the entire group */
- secp256k1_gej_set_infinity(&groupj[0]);
- secp256k1_ge_set_gej(&group[0], &groupj[0]);
- for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) {
- /* Set a different random z-value for each Jacobian point */
- secp256k1_fe z;
- random_fe(&z);
-
- secp256k1_gej_add_ge(&groupj[i], &groupj[i - 1], &secp256k1_ge_const_g);
- secp256k1_ge_set_gej(&group[i], &groupj[i]);
- secp256k1_gej_rescale(&groupj[i], &z);
-
- /* Verify against ecmult_gen */
- {
- secp256k1_scalar scalar_i;
- secp256k1_gej generatedj;
- secp256k1_ge generated;
-
- secp256k1_scalar_set_int(&scalar_i, i);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &generatedj, &scalar_i);
- secp256k1_ge_set_gej(&generated, &generatedj);
-
- CHECK(group[i].infinity == 0);
- CHECK(generated.infinity == 0);
- CHECK(secp256k1_fe_equal_var(&generated.x, &group[i].x));
- CHECK(secp256k1_fe_equal_var(&generated.y, &group[i].y));
- }
+ secp256k1_context_destroy(ctx);
}
- /* Run the tests */
-#ifdef USE_ENDOMORPHISM
- test_exhaustive_endomorphism(group, EXHAUSTIVE_TEST_ORDER);
-#endif
- test_exhaustive_addition(group, groupj, EXHAUSTIVE_TEST_ORDER);
- test_exhaustive_ecmult(ctx, group, groupj, EXHAUSTIVE_TEST_ORDER);
- test_exhaustive_sign(ctx, group, EXHAUSTIVE_TEST_ORDER);
- test_exhaustive_verify(ctx, group, EXHAUSTIVE_TEST_ORDER);
+ testrand_finish();
-#ifdef ENABLE_MODULE_RECOVERY
- test_exhaustive_recovery_sign(ctx, group, EXHAUSTIVE_TEST_ORDER);
- test_exhaustive_recovery_verify(ctx, group, EXHAUSTIVE_TEST_ORDER);
-#endif
-
- ethkit_secp256k1_context_destroy(ctx);
- return 0;
+ printf("no problems found\n");
+ return EXIT_SUCCESS;
}
-
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/testutil.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/testutil.h
new file mode 100644
index 00000000..64b3bb41
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/testutil.h
@@ -0,0 +1,148 @@
+/***********************************************************************
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_TESTUTIL_H
+#define SECP256K1_TESTUTIL_H
+
+#include "field.h"
+#include "group.h"
+#include "testrand.h"
+#include "util.h"
+
+static void testutil_random_fe(secp256k1_fe *x) {
+ unsigned char bin[32];
+ do {
+ testrand256(bin);
+ if (secp256k1_fe_set_b32_limit(x, bin)) {
+ return;
+ }
+ } while(1);
+}
+
+static void testutil_random_fe_non_zero(secp256k1_fe *nz) {
+ do {
+ testutil_random_fe(nz);
+ } while (secp256k1_fe_is_zero(nz));
+}
+
+static void testutil_random_fe_magnitude(secp256k1_fe *fe, int m) {
+ secp256k1_fe zero;
+ int n = testrand_int(m + 1);
+ secp256k1_fe_normalize(fe);
+ if (n == 0) {
+ return;
+ }
+ secp256k1_fe_set_int(&zero, 0);
+ secp256k1_fe_negate(&zero, &zero, 0);
+ secp256k1_fe_mul_int_unchecked(&zero, n - 1);
+ secp256k1_fe_add(fe, &zero);
+#ifdef VERIFY
+ CHECK(fe->magnitude == n);
+#endif
+}
+
+static void testutil_random_fe_test(secp256k1_fe *x) {
+ unsigned char bin[32];
+ do {
+ testrand256_test(bin);
+ if (secp256k1_fe_set_b32_limit(x, bin)) {
+ return;
+ }
+ } while(1);
+}
+
+static void testutil_random_fe_non_zero_test(secp256k1_fe *fe) {
+ do {
+ testutil_random_fe_test(fe);
+ } while(secp256k1_fe_is_zero(fe));
+}
+
+static void testutil_random_ge_x_magnitude(secp256k1_ge *ge) {
+ testutil_random_fe_magnitude(&ge->x, SECP256K1_GE_X_MAGNITUDE_MAX);
+}
+
+static void testutil_random_ge_y_magnitude(secp256k1_ge *ge) {
+ testutil_random_fe_magnitude(&ge->y, SECP256K1_GE_Y_MAGNITUDE_MAX);
+}
+
+static void testutil_random_gej_x_magnitude(secp256k1_gej *gej) {
+ testutil_random_fe_magnitude(&gej->x, SECP256K1_GEJ_X_MAGNITUDE_MAX);
+}
+
+static void testutil_random_gej_y_magnitude(secp256k1_gej *gej) {
+ testutil_random_fe_magnitude(&gej->y, SECP256K1_GEJ_Y_MAGNITUDE_MAX);
+}
+
+static void testutil_random_gej_z_magnitude(secp256k1_gej *gej) {
+ testutil_random_fe_magnitude(&gej->z, SECP256K1_GEJ_Z_MAGNITUDE_MAX);
+}
+
+static void testutil_random_ge_test(secp256k1_ge *ge) {
+ secp256k1_fe fe;
+ do {
+ testutil_random_fe_test(&fe);
+ if (secp256k1_ge_set_xo_var(ge, &fe, testrand_bits(1))) {
+ secp256k1_fe_normalize(&ge->y);
+ break;
+ }
+ } while(1);
+ ge->infinity = 0;
+}
+
+static void testutil_random_ge_jacobian_test(secp256k1_gej *gej, const secp256k1_ge *ge) {
+ secp256k1_fe z2, z3;
+ testutil_random_fe_non_zero_test(&gej->z);
+ secp256k1_fe_sqr(&z2, &gej->z);
+ secp256k1_fe_mul(&z3, &z2, &gej->z);
+ secp256k1_fe_mul(&gej->x, &ge->x, &z2);
+ secp256k1_fe_mul(&gej->y, &ge->y, &z3);
+ gej->infinity = ge->infinity;
+}
+
+static void testutil_random_gej_test(secp256k1_gej *gej) {
+ secp256k1_ge ge;
+ testutil_random_ge_test(&ge);
+ testutil_random_ge_jacobian_test(gej, &ge);
+}
+
+static void testutil_random_pubkey_test(secp256k1_pubkey *pk) {
+ secp256k1_ge ge;
+ testutil_random_ge_test(&ge);
+ secp256k1_pubkey_save(pk, &ge);
+}
+
+static void testutil_random_scalar_order_test(secp256k1_scalar *num) {
+ do {
+ unsigned char b32[32];
+ int overflow = 0;
+ testrand256_test(b32);
+ secp256k1_scalar_set_b32(num, b32, &overflow);
+ if (overflow || secp256k1_scalar_is_zero(num)) {
+ continue;
+ }
+ break;
+ } while(1);
+}
+
+static void testutil_random_scalar_order(secp256k1_scalar *num) {
+ do {
+ unsigned char b32[32];
+ int overflow = 0;
+ testrand256(b32);
+ secp256k1_scalar_set_b32(num, b32, &overflow);
+ if (overflow || secp256k1_scalar_is_zero(num)) {
+ continue;
+ }
+ break;
+ } while(1);
+}
+
+static void testutil_random_scalar_order_b32(unsigned char *b32) {
+ secp256k1_scalar num;
+ testutil_random_scalar_order(&num);
+ secp256k1_scalar_get_b32(b32, &num);
+}
+
+#endif /* SECP256K1_TESTUTIL_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/util.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/util.h
index 4092a86c..5f29f407 100644
--- a/go-ethereum/crypto/secp256k1/libsecp256k1/src/util.h
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/util.h
@@ -1,19 +1,88 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_UTIL_H_
-#define _SECP256K1_UTIL_H_
+#ifndef SECP256K1_UTIL_H
+#define SECP256K1_UTIL_H
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
-#endif
+#include "../include/secp256k1.h"
+#include "checkmem.h"
+#include
#include
#include
#include
+#include
+#if defined(_MSC_VER)
+/* For SecureZeroMemory */
+#include
+#endif
+
+#define STR_(x) #x
+#define STR(x) STR_(x)
+#define DEBUG_CONFIG_MSG(x) "DEBUG_CONFIG: " x
+#define DEBUG_CONFIG_DEF(x) DEBUG_CONFIG_MSG(#x "=" STR(x))
+
+/* Debug helper for printing arrays of unsigned char. */
+#define PRINT_BUF(buf, len) do { \
+ printf("%s[%lu] = ", #buf, (unsigned long)len); \
+ print_buf_plain(buf, len); \
+} while(0)
+
+static void print_buf_plain(const unsigned char *buf, size_t len) {
+ size_t i;
+ printf("{");
+ for (i = 0; i < len; i++) {
+ if (i % 8 == 0) {
+ printf("\n ");
+ } else {
+ printf(" ");
+ }
+ printf("0x%02X,", buf[i]);
+ }
+ printf("\n}\n");
+}
+
+# if (!defined(__STDC_VERSION__) || (__STDC_VERSION__ < 199901L) )
+# if SECP256K1_GNUC_PREREQ(2,7)
+# define SECP256K1_INLINE __inline__
+# elif (defined(_MSC_VER))
+# define SECP256K1_INLINE __inline
+# else
+# define SECP256K1_INLINE
+# endif
+# else
+# define SECP256K1_INLINE inline
+# endif
+
+/** Assert statically that expr is true.
+ *
+ * This is a statement-like macro and can only be used inside functions.
+ */
+#define STATIC_ASSERT(expr) do { \
+ switch(0) { \
+ case 0: \
+ /* If expr evaluates to 0, we have two case labels "0", which is illegal. */ \
+ case /* ERROR: static assertion failed */ (expr): \
+ ; \
+ } \
+} while(0)
+
+/** Assert statically that expr is an integer constant expression, and run stmt.
+ *
+ * Useful for example to enforce that magnitude arguments are constant.
+ */
+#define ASSERT_INT_CONST_AND_DO(expr, stmt) do { \
+ switch(42) { \
+ /* C allows only integer constant expressions as case labels. */ \
+ case /* ERROR: integer argument is not constant */ (expr): \
+ break; \
+ default: ; \
+ } \
+ stmt; \
+} while(0)
typedef struct {
void (*fn)(const char *text, void* data);
@@ -24,6 +93,33 @@ static SECP256K1_INLINE void secp256k1_callback_call(const secp256k1_callback *
cb->fn(text, (void*)cb->data);
}
+#ifndef USE_EXTERNAL_DEFAULT_CALLBACKS
+static void secp256k1_default_illegal_callback_fn(const char* str, void* data) {
+ (void)data;
+ fprintf(stderr, "[libsecp256k1] illegal argument: %s\n", str);
+ abort();
+}
+static void secp256k1_default_error_callback_fn(const char* str, void* data) {
+ (void)data;
+ fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str);
+ abort();
+}
+#else
+void secp256k1_default_illegal_callback_fn(const char* str, void* data);
+void secp256k1_default_error_callback_fn(const char* str, void* data);
+#endif
+
+static const secp256k1_callback default_illegal_callback = {
+ secp256k1_default_illegal_callback_fn,
+ NULL
+};
+
+static const secp256k1_callback default_error_callback = {
+ secp256k1_default_error_callback_fn,
+ NULL
+};
+
+
#ifdef DETERMINISTIC
#define TEST_FAILURE(msg) do { \
fprintf(stderr, "%s\n", msg); \
@@ -36,7 +132,7 @@ static SECP256K1_INLINE void secp256k1_callback_call(const secp256k1_callback *
} while(0)
#endif
-#ifdef HAVE_BUILTIN_EXPECT
+#if SECP256K1_GNUC_PREREQ(3, 0)
#define EXPECT(x,c) __builtin_expect((x),(c))
#else
#define EXPECT(x,c) (x)
@@ -56,16 +152,11 @@ static SECP256K1_INLINE void secp256k1_callback_call(const secp256k1_callback *
} while(0)
#endif
-/* Like assert(), but when VERIFY is defined, and side-effect safe. */
-#if defined(COVERAGE)
-#define VERIFY_CHECK(check)
-#define VERIFY_SETUP(stmt)
-#elif defined(VERIFY)
+/* Like assert(), but when VERIFY is defined. */
+#if defined(VERIFY)
#define VERIFY_CHECK CHECK
-#define VERIFY_SETUP(stmt) do { stmt; } while(0)
#else
-#define VERIFY_CHECK(cond) do { (void)(cond); } while(0)
-#define VERIFY_SETUP(stmt)
+#define VERIFY_CHECK(cond)
#endif
static SECP256K1_INLINE void *checked_malloc(const secp256k1_callback* cb, size_t size) {
@@ -76,6 +167,20 @@ static SECP256K1_INLINE void *checked_malloc(const secp256k1_callback* cb, size_
return ret;
}
+#if defined(__BIGGEST_ALIGNMENT__)
+#define ALIGNMENT __BIGGEST_ALIGNMENT__
+#else
+/* Using 16 bytes alignment because common architectures never have alignment
+ * requirements above 8 for any of the types we care about. In addition we
+ * leave some room because currently we don't care about a few bytes. */
+#define ALIGNMENT 16
+#endif
+
+/* ceil(x/y) for integers x > 0 and y > 0. Here, / denotes rational division. */
+#define CEIL_DIV(x, y) (1 + ((x) - 1) / (y))
+
+#define ROUND_TO_ALIGN(size) (CEIL_DIV(size, ALIGNMENT) * ALIGNMENT)
+
/* Macro for restrict, when available and not in a VERIFY build. */
#if defined(SECP256K1_BUILD) && defined(VERIFY)
# define SECP256K1_RESTRICT
@@ -93,21 +198,254 @@ static SECP256K1_INLINE void *checked_malloc(const secp256k1_callback* cb, size_
# endif
#endif
-#if defined(_WIN32)
-# define I64FORMAT "I64d"
-# define I64uFORMAT "I64u"
+#if defined(__GNUC__)
+# define SECP256K1_GNUC_EXT __extension__
#else
-# define I64FORMAT "lld"
-# define I64uFORMAT "llu"
+# define SECP256K1_GNUC_EXT
#endif
-#if defined(HAVE___INT128)
-# if defined(__GNUC__)
-# define SECP256K1_GNUC_EXT __extension__
-# else
-# define SECP256K1_GNUC_EXT
-# endif
-SECP256K1_GNUC_EXT typedef unsigned __int128 uint128_t;
+/* Zero memory if flag == 1. Flag must be 0 or 1. Constant time. */
+static SECP256K1_INLINE void secp256k1_memczero(void *s, size_t len, int flag) {
+ unsigned char *p = (unsigned char *)s;
+ /* Access flag with a volatile-qualified lvalue.
+ This prevents clang from figuring out (after inlining) that flag can
+ take only be 0 or 1, which leads to variable time code. */
+ volatile int vflag = flag;
+ unsigned char mask = -(unsigned char) vflag;
+ while (len) {
+ *p &= ~mask;
+ p++;
+ len--;
+ }
+}
+
+/* Cleanses memory to prevent leaking sensitive info. Won't be optimized out. */
+static SECP256K1_INLINE void secp256k1_memclear(void *ptr, size_t len) {
+#if defined(_MSC_VER)
+ /* SecureZeroMemory is guaranteed not to be optimized out by MSVC. */
+ SecureZeroMemory(ptr, len);
+#elif defined(__GNUC__)
+ /* We use a memory barrier that scares the compiler away from optimizing out the memset.
+ *
+ * Quoting Adam Langley in commit ad1907fe73334d6c696c8539646c21b11178f20f
+ * in BoringSSL (ISC License):
+ * As best as we can tell, this is sufficient to break any optimisations that
+ * might try to eliminate "superfluous" memsets.
+ * This method is used in memzero_explicit() the Linux kernel, too. Its advantage is that it
+ * is pretty efficient, because the compiler can still implement the memset() efficiently,
+ * just not remove it entirely. See "Dead Store Elimination (Still) Considered Harmful" by
+ * Yang et al. (USENIX Security 2017) for more background.
+ */
+ memset(ptr, 0, len);
+ __asm__ __volatile__("" : : "r"(ptr) : "memory");
+#else
+ void *(*volatile const volatile_memset)(void *, int, size_t) = memset;
+ volatile_memset(ptr, 0, len);
#endif
+#ifdef VERIFY
+ SECP256K1_CHECKMEM_UNDEFINE(ptr, len);
+#endif
+}
+
+/** Semantics like memcmp. Variable-time.
+ *
+ * We use this to avoid possible compiler bugs with memcmp, e.g.
+ * https://gcc.gnu.org/bugzilla/show_bug.cgi?id=95189
+ */
+static SECP256K1_INLINE int secp256k1_memcmp_var(const void *s1, const void *s2, size_t n) {
+ const unsigned char *p1 = s1, *p2 = s2;
+ size_t i;
+ for (i = 0; i < n; i++) {
+ int diff = p1[i] - p2[i];
+ if (diff != 0) {
+ return diff;
+ }
+ }
+ return 0;
+}
+
+/* Return 1 if all elements of array s are 0 and otherwise return 0.
+ * Constant-time. */
+static SECP256K1_INLINE int secp256k1_is_zero_array(const unsigned char *s, size_t len) {
+ unsigned char acc = 0;
+ int ret;
+ size_t i;
+
+ for (i = 0; i < len; i++) {
+ acc |= s[i];
+ }
+ ret = (acc == 0);
+ /* acc may contain secret values. Try to explicitly clear it. */
+ secp256k1_memclear(&acc, sizeof(acc));
+ return ret;
+}
+
+/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized and non-negative.*/
+static SECP256K1_INLINE void secp256k1_int_cmov(int *r, const int *a, int flag) {
+ unsigned int mask0, mask1, r_masked, a_masked;
+ /* Access flag with a volatile-qualified lvalue.
+ This prevents clang from figuring out (after inlining) that flag can
+ take only be 0 or 1, which leads to variable time code. */
+ volatile int vflag = flag;
+
+ /* Casting a negative int to unsigned and back to int is implementation defined behavior */
+ VERIFY_CHECK(*r >= 0 && *a >= 0);
+
+ mask0 = (unsigned int)vflag + ~0u;
+ mask1 = ~mask0;
+ r_masked = ((unsigned int)*r & mask0);
+ a_masked = ((unsigned int)*a & mask1);
+
+ *r = (int)(r_masked | a_masked);
+}
+
+#if defined(USE_FORCE_WIDEMUL_INT128_STRUCT)
+/* If USE_FORCE_WIDEMUL_INT128_STRUCT is set, use int128_struct. */
+# define SECP256K1_WIDEMUL_INT128 1
+# define SECP256K1_INT128_STRUCT 1
+#elif defined(USE_FORCE_WIDEMUL_INT128)
+/* If USE_FORCE_WIDEMUL_INT128 is set, use int128. */
+# define SECP256K1_WIDEMUL_INT128 1
+# define SECP256K1_INT128_NATIVE 1
+#elif defined(USE_FORCE_WIDEMUL_INT64)
+/* If USE_FORCE_WIDEMUL_INT64 is set, use int64. */
+# define SECP256K1_WIDEMUL_INT64 1
+#elif defined(UINT128_MAX) || defined(__SIZEOF_INT128__)
+/* If a native 128-bit integer type exists, use int128. */
+# define SECP256K1_WIDEMUL_INT128 1
+# define SECP256K1_INT128_NATIVE 1
+#elif defined(_MSC_VER) && (defined(_M_X64) || defined(_M_ARM64))
+/* On 64-bit MSVC targets (x86_64 and arm64), use int128_struct
+ * (which has special logic to implement using intrinsics on those systems). */
+# define SECP256K1_WIDEMUL_INT128 1
+# define SECP256K1_INT128_STRUCT 1
+#elif SIZE_MAX > 0xffffffff
+/* Systems with 64-bit pointers (and thus registers) very likely benefit from
+ * using 64-bit based arithmetic (even if we need to fall back to 32x32->64 based
+ * multiplication logic). */
+# define SECP256K1_WIDEMUL_INT128 1
+# define SECP256K1_INT128_STRUCT 1
+#else
+/* Lastly, fall back to int64 based arithmetic. */
+# define SECP256K1_WIDEMUL_INT64 1
+#endif
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
#endif
+
+/* Determine the number of trailing zero bits in a (non-zero) 32-bit x.
+ * This function is only intended to be used as fallback for
+ * secp256k1_ctz32_var, but permits it to be tested separately. */
+static SECP256K1_INLINE int secp256k1_ctz32_var_debruijn(uint32_t x) {
+ static const uint8_t debruijn[32] = {
+ 0x00, 0x01, 0x02, 0x18, 0x03, 0x13, 0x06, 0x19, 0x16, 0x04, 0x14, 0x0A,
+ 0x10, 0x07, 0x0C, 0x1A, 0x1F, 0x17, 0x12, 0x05, 0x15, 0x09, 0x0F, 0x0B,
+ 0x1E, 0x11, 0x08, 0x0E, 0x1D, 0x0D, 0x1C, 0x1B
+ };
+ return debruijn[(uint32_t)((x & -x) * 0x04D7651FU) >> 27];
+}
+
+/* Determine the number of trailing zero bits in a (non-zero) 64-bit x.
+ * This function is only intended to be used as fallback for
+ * secp256k1_ctz64_var, but permits it to be tested separately. */
+static SECP256K1_INLINE int secp256k1_ctz64_var_debruijn(uint64_t x) {
+ static const uint8_t debruijn[64] = {
+ 0, 1, 2, 53, 3, 7, 54, 27, 4, 38, 41, 8, 34, 55, 48, 28,
+ 62, 5, 39, 46, 44, 42, 22, 9, 24, 35, 59, 56, 49, 18, 29, 11,
+ 63, 52, 6, 26, 37, 40, 33, 47, 61, 45, 43, 21, 23, 58, 17, 10,
+ 51, 25, 36, 32, 60, 20, 57, 16, 50, 31, 19, 15, 30, 14, 13, 12
+ };
+ return debruijn[(uint64_t)((x & -x) * 0x022FDD63CC95386DU) >> 58];
+}
+
+/* Determine the number of trailing zero bits in a (non-zero) 32-bit x. */
+static SECP256K1_INLINE int secp256k1_ctz32_var(uint32_t x) {
+ VERIFY_CHECK(x != 0);
+#if (__has_builtin(__builtin_ctz) || SECP256K1_GNUC_PREREQ(3,4))
+ /* If the unsigned type is sufficient to represent the largest uint32_t, consider __builtin_ctz. */
+ if (((unsigned)UINT32_MAX) == UINT32_MAX) {
+ return __builtin_ctz(x);
+ }
+#endif
+#if (__has_builtin(__builtin_ctzl) || SECP256K1_GNUC_PREREQ(3,4))
+ /* Otherwise consider __builtin_ctzl (the unsigned long type is always at least 32 bits). */
+ return __builtin_ctzl(x);
+#else
+ /* If no suitable CTZ builtin is available, use a (variable time) software emulation. */
+ return secp256k1_ctz32_var_debruijn(x);
+#endif
+}
+
+/* Determine the number of trailing zero bits in a (non-zero) 64-bit x. */
+static SECP256K1_INLINE int secp256k1_ctz64_var(uint64_t x) {
+ VERIFY_CHECK(x != 0);
+#if (__has_builtin(__builtin_ctzl) || SECP256K1_GNUC_PREREQ(3,4))
+ /* If the unsigned long type is sufficient to represent the largest uint64_t, consider __builtin_ctzl. */
+ if (((unsigned long)UINT64_MAX) == UINT64_MAX) {
+ return __builtin_ctzl(x);
+ }
+#endif
+#if (__has_builtin(__builtin_ctzll) || SECP256K1_GNUC_PREREQ(3,4))
+ /* Otherwise consider __builtin_ctzll (the unsigned long long type is always at least 64 bits). */
+ return __builtin_ctzll(x);
+#else
+ /* If no suitable CTZ builtin is available, use a (variable time) software emulation. */
+ return secp256k1_ctz64_var_debruijn(x);
+#endif
+}
+
+/* Read a uint32_t in big endian */
+SECP256K1_INLINE static uint32_t secp256k1_read_be32(const unsigned char* p) {
+ return (uint32_t)p[0] << 24 |
+ (uint32_t)p[1] << 16 |
+ (uint32_t)p[2] << 8 |
+ (uint32_t)p[3];
+}
+
+/* Write a uint32_t in big endian */
+SECP256K1_INLINE static void secp256k1_write_be32(unsigned char* p, uint32_t x) {
+ p[3] = x;
+ p[2] = x >> 8;
+ p[1] = x >> 16;
+ p[0] = x >> 24;
+}
+
+/* Read a uint64_t in big endian */
+SECP256K1_INLINE static uint64_t secp256k1_read_be64(const unsigned char* p) {
+ return (uint64_t)p[0] << 56 |
+ (uint64_t)p[1] << 48 |
+ (uint64_t)p[2] << 40 |
+ (uint64_t)p[3] << 32 |
+ (uint64_t)p[4] << 24 |
+ (uint64_t)p[5] << 16 |
+ (uint64_t)p[6] << 8 |
+ (uint64_t)p[7];
+}
+
+/* Write a uint64_t in big endian */
+SECP256K1_INLINE static void secp256k1_write_be64(unsigned char* p, uint64_t x) {
+ p[7] = x;
+ p[6] = x >> 8;
+ p[5] = x >> 16;
+ p[4] = x >> 24;
+ p[3] = x >> 32;
+ p[2] = x >> 40;
+ p[1] = x >> 48;
+ p[0] = x >> 56;
+}
+
+/* Rotate a uint32_t to the right. */
+SECP256K1_INLINE static uint32_t secp256k1_rotr32(const uint32_t x, const unsigned int by) {
+#if defined(_MSC_VER)
+ return _rotr(x, by); /* needs */
+#else
+ /* Reduce rotation amount to avoid UB when shifting. */
+ const unsigned int mask = CHAR_BIT * sizeof(x) - 1;
+ /* Turned into a rot instruction by GCC and clang. */
+ return (x >> (by & mask)) | (x << ((-by) & mask));
+#endif
+}
+
+#endif /* SECP256K1_UTIL_H */
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/wycheproof/WYCHEPROOF_COPYING b/go-ethereum/crypto/secp256k1/libsecp256k1/src/wycheproof/WYCHEPROOF_COPYING
new file mode 100644
index 00000000..cddf9d91
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/wycheproof/WYCHEPROOF_COPYING
@@ -0,0 +1,212 @@
+* The file `ecdsa_secp256k1_sha256_bitcoin_test.json` in this directory
+ comes from Google's project Wycheproof with git commit
+ `b063b4aedae951c69df014cd25fa6d69ae9e8cb9`, see
+ https://github.com/google/wycheproof/blob/b063b4aedae951c69df014cd25fa6d69ae9e8cb9/testvectors_v1/ecdsa_secp256k1_sha256_bitcoin_test.json
+
+* The file `ecdsa_secp256k1_sha256_bitcoin_test.h` is generated from
+ `ecdsa_secp256k1_sha256_bitcoin_test.json` using the script
+ `tests_wycheproof_generate.py`.
+
+-------------------------------------------------------------------------------
+
+ Apache License
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+ http://www.apache.org/licenses/
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diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h b/go-ethereum/crypto/secp256k1/libsecp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h
new file mode 100644
index 00000000..736737fd
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h
@@ -0,0 +1,1564 @@
+/* Note: this file was autogenerated using tests_wycheproof_generate.py. Do not edit. */
+#define SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS (463)
+
+typedef struct {
+ size_t pk_offset;
+ size_t msg_offset;
+ size_t msg_len;
+ size_t sig_offset;
+ size_t sig_len;
+ int expected_verify;
+} wycheproof_ecdsa_testvector;
+
+static const unsigned char wycheproof_ecdsa_messages[] = { 0x31,0x32,0x33,0x34,0x30,0x30,
+ 0x32,0x35,0x35,0x38,0x35,
+ 0x34,0x32,0x36,0x34,0x37,0x39,0x37,0x32,0x34,
+ 0x37,0x31,0x33,0x38,0x36,0x38,0x34,0x38,0x39,0x31,
+ 0x31,0x30,0x33,0x35,0x39,0x33,0x33,0x31,0x36,0x36,0x38,
+ 0x33,0x39,0x34,0x39,0x34,0x30,0x31,0x32,0x31,0x35,
+ 0x31,0x33,0x34,0x34,0x32,0x39,0x33,0x30,0x37,0x39,
+ 0x33,0x37,0x30,0x36,0x32,0x31,0x31,0x37,0x31,0x32,
+ 0x33,0x34,0x33,0x36,0x38,0x38,0x37,0x31,0x32,
+ 0x31,0x33,0x35,0x31,0x35,0x33,0x30,0x33,0x37,0x30,
+ 0x36,0x35,0x35,0x33,0x32,0x30,0x33,0x31,0x32,0x36,
+ 0x31,0x35,0x36,0x34,0x33,0x34,0x36,0x36,0x30,0x33,
+ 0x34,0x34,0x32,0x39,0x35,0x33,0x39,0x31,0x31,0x37,
+ 0x31,0x30,0x39,0x35,0x33,0x32,0x36,0x31,0x33,0x35,0x31,
+ 0x35,0x39,0x38,0x37,0x33,0x35,0x30,0x30,0x34,0x31,
+ 0x33,0x34,0x36,0x33,0x30,0x30,0x36,0x38,0x37,0x38,
+ 0x39,0x38,0x31,0x37,0x33,0x32,0x30,0x32,0x38,0x37,
+ 0x33,0x32,0x32,0x32,0x30,0x34,0x31,0x30,0x34,0x36,
+ 0x36,0x36,0x36,0x36,0x33,0x30,0x37,0x31,0x30,0x34,
+ 0x31,0x30,0x33,0x35,0x39,0x35,0x31,0x38,0x39,0x38,
+ 0x31,0x38,0x34,0x36,0x35,0x39,0x37,0x31,0x39,0x35,
+ 0x33,0x31,0x33,0x36,0x30,0x34,0x36,0x31,0x38,0x39,
+ 0x32,0x36,0x36,0x33,0x37,0x38,0x34,0x32,0x35,0x34,
+ 0x31,0x36,0x35,0x32,0x31,0x30,0x30,0x35,0x32,0x34,
+ 0x35,0x37,0x34,0x38,0x30,0x38,0x31,0x36,0x39,0x36,
+ 0x36,0x33,0x34,0x33,0x39,0x31,0x33,0x34,0x36,0x38,
+ 0x31,0x35,0x34,0x31,0x31,0x30,0x33,0x35,0x39,0x38,
+ 0x31,0x30,0x34,0x37,0x38,0x35,0x38,0x30,0x31,0x32,0x38,
+ 0x31,0x30,0x35,0x33,0x36,0x32,0x38,0x35,0x35,0x36,0x38,
+ 0x39,0x35,0x33,0x39,0x30,0x34,0x31,0x30,0x35,
+ 0x39,0x37,0x38,0x38,0x34,0x38,0x30,0x33,0x39,
+ 0x33,0x36,0x31,0x30,0x36,0x37,0x32,0x34,0x34,0x32,
+ 0x31,0x30,0x35,0x34,0x32,0x34,0x30,0x37,0x30,0x35,
+ 0x35,0x31,0x37,0x34,0x34,0x34,0x38,0x31,0x39,0x37,
+ 0x31,0x39,0x36,0x37,0x35,0x36,0x31,0x32,0x35,0x31,
+ 0x33,0x34,0x34,0x37,0x32,0x35,0x33,0x33,0x34,0x33,
+ 0x33,0x36,0x38,0x32,0x36,0x34,0x33,0x31,0x38,
+ 0x33,0x32,0x36,0x31,0x31,0x39,0x38,0x36,0x30,0x38,
+ 0x39,0x36,0x37,0x38,0x37,0x38,0x31,0x30,0x39,0x34,
+ 0x34,0x39,0x35,0x38,0x38,0x32,0x33,0x38,0x32,0x33,
+ 0x38,0x32,0x34,0x36,0x33,0x37,0x38,0x33,0x37,
+ 0x31,0x31,0x30,0x32,0x30,0x38,0x33,0x33,0x37,0x37,0x36,
+ 0x31,0x33,0x33,0x38,0x37,0x31,0x36,0x34,0x38,
+ 0x33,0x32,0x32,0x31,0x34,0x34,0x31,0x36,0x32,
+ 0x31,0x30,0x36,0x38,0x36,0x36,0x35,0x35,0x35,0x34,0x36,
+ 0x36,0x32,0x31,0x35,0x35,0x32,0x34,0x36,
+ 0x37,0x30,0x33,0x30,0x38,0x31,0x38,0x37,0x37,0x34,
+ 0x35,0x39,0x32,0x34,0x35,0x32,0x33,0x37,0x34,0x34,
+ 0x31,0x34,0x39,0x35,0x35,0x38,0x36,0x36,0x32,0x31,
+ 0x34,0x30,0x30,0x35,0x33,0x31,0x34,0x34,0x30,0x36,
+ 0x33,0x30,0x39,0x36,0x34,0x35,0x37,0x35,0x31,0x32,
+ 0x32,0x37,0x38,0x34,0x30,0x32,0x35,0x36,0x32,0x30,
+ 0x32,0x36,0x31,0x38,0x37,0x38,0x37,0x34,0x31,0x38,
+ 0x31,0x36,0x34,0x32,0x36,0x32,0x35,0x32,0x36,0x32,
+ 0x36,0x38,0x32,0x34,0x31,0x38,0x39,0x34,0x33,0x36,
+ 0x34,0x38,0x34,0x32,0x34,0x35,0x34,0x32,0x35,
+ 0x4d,0x73,0x67,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x4d,0x65,0x73,0x73,0x61,0x67,0x65};
+
+static const unsigned char wycheproof_ecdsa_public_keys[] = { 0x04,0xb8,0x38,0xff,0x44,0xe5,0xbc,0x17,0x7b,0xf2,0x11,0x89,0xd0,0x76,0x60,0x82,0xfc,0x9d,0x84,0x32,0x26,0x88,0x7f,0xc9,0x76,0x03,0x71,0x10,0x0b,0x7e,0xe2,0x0a,0x6f,0xf0,0xc9,0xd7,0x5b,0xfb,0xa7,0xb3,0x1a,0x6b,0xca,0x19,0x74,0x49,0x6e,0xeb,0x56,0xde,0x35,0x70,0x71,0x95,0x5d,0x83,0xc4,0xb1,0xba,0xda,0xa0,0xb2,0x18,0x32,0xe9,
+ 0x04,0x07,0x31,0x0f,0x90,0xa9,0xea,0xe1,0x49,0xa0,0x84,0x02,0xf5,0x41,0x94,0xa0,0xf7,0xb4,0xac,0x42,0x7b,0xf8,0xd9,0xbd,0x6c,0x76,0x81,0x07,0x1d,0xc4,0x7d,0xc3,0x62,0x26,0xa6,0xd3,0x7a,0xc4,0x6d,0x61,0xfd,0x60,0x0c,0x0b,0xf1,0xbf,0xf8,0x76,0x89,0xed,0x11,0x7d,0xda,0x6b,0x0e,0x59,0x31,0x8a,0xe0,0x10,0xa1,0x97,0xa2,0x6c,0xa0,
+ 0x04,0xbc,0x97,0xe7,0x58,0x5e,0xec,0xad,0x48,0xe1,0x66,0x83,0xbc,0x40,0x91,0x70,0x8e,0x1a,0x93,0x0c,0x68,0x3f,0xc4,0x70,0x01,0xd4,0xb3,0x83,0x59,0x4f,0x2c,0x4e,0x22,0x70,0x59,0x89,0xcf,0x69,0xda,0xea,0xdd,0x4e,0x4e,0x4b,0x81,0x51,0xed,0x88,0x8d,0xfe,0xc2,0x0f,0xb0,0x17,0x28,0xd8,0x9d,0x56,0xb3,0xf3,0x8f,0x2a,0xe9,0xc8,0xc5,
+ 0x04,0x44,0xad,0x33,0x9a,0xfb,0xc2,0x1e,0x9a,0xbf,0x7b,0x60,0x2a,0x5c,0xa5,0x35,0xea,0x37,0x81,0x35,0xb6,0xd1,0x0d,0x81,0x31,0x0b,0xdd,0x82,0x93,0xd1,0xdf,0x32,0x52,0xb6,0x3f,0xf7,0xd0,0x77,0x47,0x70,0xf8,0xfe,0x1d,0x17,0x22,0xfa,0x83,0xac,0xd0,0x2f,0x43,0x4e,0x4f,0xc1,0x10,0xa0,0xcc,0x8f,0x6d,0xdd,0xd3,0x7d,0x56,0xc4,0x63,
+ 0x04,0x12,0x60,0xc2,0x12,0x2c,0x9e,0x24,0x4e,0x1a,0xf5,0x15,0x1b,0xed,0xe0,0xc3,0xae,0x23,0xb5,0x4d,0x7c,0x59,0x68,0x81,0xd3,0xee,0xba,0xd2,0x1f,0x37,0xdd,0x87,0x8c,0x5c,0x9a,0x0c,0x1a,0x9a,0xde,0x76,0x73,0x7a,0x88,0x11,0xbd,0x6a,0x7f,0x92,0x87,0xc9,0x78,0xee,0x39,0x6a,0xa8,0x9c,0x11,0xe4,0x72,0x29,0xd2,0xcc,0xb5,0x52,0xf0,
+ 0x04,0x18,0x77,0x04,0x5b,0xe2,0x5d,0x34,0xa1,0xd0,0x60,0x0f,0x9d,0x5c,0x00,0xd0,0x64,0x5a,0x2a,0x54,0x37,0x9b,0x6c,0xee,0xfa,0xd2,0xe6,0xbf,0x5c,0x2a,0x33,0x52,0xce,0x82,0x1a,0x53,0x2c,0xc1,0x75,0x1e,0xe1,0xd3,0x6d,0x41,0xc3,0xd6,0xab,0x4e,0x9b,0x14,0x3e,0x44,0xec,0x46,0xd7,0x34,0x78,0xea,0x6a,0x79,0xa5,0xc0,0xe5,0x41,0x59,
+ 0x04,0x45,0x54,0x39,0xfc,0xc3,0xd2,0xde,0xec,0xed,0xde,0xae,0xce,0x60,0xe7,0xbd,0x17,0x30,0x4f,0x36,0xeb,0xb6,0x02,0xad,0xf5,0xa2,0x2e,0x0b,0x8f,0x1d,0xb4,0x6a,0x50,0xae,0xc3,0x8f,0xb2,0xba,0xf2,0x21,0xe9,0xa8,0xd1,0x88,0x7c,0x7b,0xf6,0x22,0x2d,0xd1,0x83,0x46,0x34,0xe7,0x72,0x63,0x31,0x5a,0xf6,0xd2,0x36,0x09,0xd0,0x4f,0x77,
+ 0x04,0x2e,0x1f,0x46,0x6b,0x02,0x4c,0x0c,0x3a,0xce,0x24,0x37,0xde,0x09,0x12,0x7f,0xed,0x04,0xb7,0x06,0xf9,0x4b,0x19,0xa2,0x1b,0xb1,0xc2,0xac,0xf3,0x5c,0xec,0xe7,0x18,0x04,0x49,0xae,0x35,0x23,0xd7,0x25,0x34,0xe9,0x64,0x97,0x2c,0xfd,0x3b,0x38,0xaf,0x0b,0xdd,0xd9,0x61,0x9e,0x5a,0xf2,0x23,0xe4,0xd1,0xa4,0x0f,0x34,0xcf,0x9f,0x1d,
+ 0x04,0x8e,0x7a,0xbd,0xbb,0xd1,0x8d,0xe7,0x45,0x23,0x74,0xc1,0x87,0x9a,0x1c,0x3b,0x01,0xd1,0x32,0x61,0xe7,0xd4,0x57,0x1c,0x3b,0x47,0xa1,0xc7,0x6c,0x55,0xa2,0x33,0x73,0x26,0xed,0x89,0x7c,0xd5,0x17,0xa4,0xf5,0x34,0x9d,0xb8,0x09,0x78,0x0f,0x6d,0x2f,0x2b,0x9f,0x62,0x99,0xd8,0xb5,0xa8,0x90,0x77,0xf1,0x11,0x9a,0x71,0x8f,0xd7,0xb3,
+ 0x04,0x7b,0x33,0x3d,0x43,0x40,0xd3,0xd7,0x18,0xdd,0x3e,0x6a,0xff,0x7d,0xe7,0xbb,0xf8,0xb7,0x2b,0xfd,0x61,0x6c,0x84,0x20,0x05,0x60,0x52,0x84,0x23,0x76,0xb9,0xaf,0x19,0x42,0x11,0x7c,0x5a,0xfe,0xac,0x75,0x5d,0x6f,0x37,0x6f,0xc6,0x32,0x9a,0x7d,0x76,0x05,0x1b,0x87,0x12,0x3a,0x4a,0x5d,0x0b,0xc4,0xa5,0x39,0x38,0x0f,0x03,0xde,0x7b,
+ 0x04,0xd3,0x0c,0xa4,0xa0,0xdd,0xb6,0x61,0x6c,0x85,0x1d,0x30,0xce,0xd6,0x82,0xc4,0x0f,0x83,0xc6,0x27,0x58,0xa1,0xf2,0x75,0x99,0x88,0xd6,0x76,0x3a,0x88,0xf1,0xc0,0xe5,0x03,0xa8,0x0d,0x54,0x15,0x65,0x0d,0x41,0x23,0x97,0x84,0xe8,0xe2,0xfb,0x12,0x35,0xe9,0xfe,0x99,0x1d,0x11,0x2e,0xbb,0x81,0x18,0x6c,0xbf,0x0d,0xa2,0xde,0x3a,0xff,
+ 0x04,0x48,0x96,0x9b,0x39,0x99,0x12,0x97,0xb3,0x32,0xa6,0x52,0xd3,0xee,0x6e,0x01,0xe9,0x09,0xb3,0x99,0x04,0xe7,0x1f,0xa2,0x35,0x4a,0x78,0x30,0xc7,0x75,0x0b,0xaf,0x24,0xb4,0x01,0x2d,0x1b,0x83,0x0d,0x19,0x9c,0xcb,0x1f,0xc9,0x72,0xb3,0x2b,0xfd,0xed,0x55,0xf0,0x9c,0xd6,0x2d,0x25,0x7e,0x5e,0x84,0x4e,0x27,0xe5,0x7a,0x15,0x94,0xec,
+ 0x04,0x02,0xef,0x4d,0x6d,0x6c,0xfd,0x5a,0x94,0xf1,0xd7,0x78,0x42,0x26,0xe3,0xe2,0xa6,0xc0,0xa4,0x36,0xc5,0x58,0x39,0x61,0x9f,0x38,0xfb,0x44,0x72,0xb5,0xf9,0xee,0x77,0x7e,0xb4,0xac,0xd4,0xee,0xbd,0xa5,0xcd,0x72,0x87,0x5f,0xfd,0x2a,0x2f,0x26,0x22,0x9c,0x2d,0xc6,0xb4,0x65,0x00,0x91,0x9a,0x43,0x2c,0x86,0x73,0x9f,0x3a,0xe8,0x66,
+ 0x04,0x46,0x4f,0x4f,0xf7,0x15,0x72,0x9c,0xae,0x50,0x72,0xca,0x3b,0xd8,0x01,0xd3,0x19,0x5b,0x67,0xae,0xc6,0x5e,0x9b,0x01,0xaa,0xd2,0x0a,0x29,0x43,0xdc,0xbc,0xb5,0x84,0xb1,0xaf,0xd2,0x9d,0x31,0xa3,0x9a,0x11,0xd5,0x70,0xaa,0x15,0x97,0x43,0x9b,0x3b,0x2d,0x19,0x71,0xbf,0x2f,0x1a,0xbf,0x15,0x43,0x2d,0x02,0x07,0xb1,0x0d,0x1d,0x08,
+ 0x04,0x15,0x7f,0x8f,0xdd,0xf3,0x73,0xeb,0x5f,0x49,0xcf,0xcf,0x10,0xd8,0xb8,0x53,0xcf,0x91,0xcb,0xcd,0x7d,0x66,0x5c,0x35,0x22,0xba,0x7d,0xd7,0x38,0xdd,0xb7,0x9a,0x4c,0xde,0xad,0xf1,0xa5,0xc4,0x48,0xea,0x3c,0x9f,0x41,0x91,0xa8,0x99,0x9a,0xbf,0xcc,0x75,0x7a,0xc6,0xd6,0x45,0x67,0xef,0x07,0x2c,0x47,0xfe,0xc6,0x13,0x44,0x3b,0x8f,
+ 0x04,0x09,0x34,0xa5,0x37,0x46,0x6c,0x07,0x43,0x0e,0x2c,0x48,0xfe,0xb9,0x90,0xbb,0x19,0xfb,0x78,0xce,0xcc,0x9c,0xee,0x42,0x4e,0xa4,0xd1,0x30,0x29,0x1a,0xa2,0x37,0xf0,0xd4,0xf9,0x2d,0x23,0xb4,0x62,0x80,0x4b,0x5b,0x68,0xc5,0x25,0x58,0xc0,0x1c,0x99,0x96,0xdb,0xf7,0x27,0xfc,0xca,0xbb,0xee,0xdb,0x96,0x21,0xa4,0x00,0x53,0x5a,0xfa,
+ 0x04,0xd6,0xef,0x20,0xbe,0x66,0xc8,0x93,0xf7,0x41,0xa9,0xbf,0x90,0xd9,0xb7,0x46,0x75,0xd1,0xc2,0xa3,0x12,0x96,0x39,0x7a,0xcb,0x3e,0xf1,0x74,0xfd,0x0b,0x30,0x0c,0x65,0x4a,0x0c,0x95,0x47,0x8c,0xa0,0x03,0x99,0x16,0x2d,0x7f,0x0f,0x2d,0xc8,0x9e,0xfd,0xc2,0xb2,0x8a,0x30,0xfb,0xab,0xe2,0x85,0x85,0x72,0x95,0xa4,0xb0,0xc4,0xe2,0x65,
+ 0x04,0xb7,0x29,0x1d,0x14,0x04,0xe0,0xc0,0xc0,0x7d,0xab,0x93,0x72,0x18,0x9f,0x4b,0xd5,0x8d,0x2c,0xea,0xa8,0xd1,0x5e,0xde,0x54,0x4d,0x95,0x14,0x54,0x5b,0xa9,0xee,0x06,0x29,0xc9,0xa6,0x3d,0x5e,0x30,0x87,0x69,0xcc,0x30,0xec,0x27,0x6a,0x41,0x0e,0x64,0x64,0xa2,0x7e,0xea,0xfd,0x9e,0x59,0x9d,0xb1,0x0f,0x05,0x3a,0x4f,0xe4,0xa8,0x29,
+ 0x04,0x6e,0x28,0x30,0x33,0x05,0xd6,0x42,0xcc,0xb9,0x23,0xb7,0x22,0xea,0x86,0xb2,0xa0,0xbc,0x8e,0x37,0x35,0xec,0xb2,0x6e,0x84,0x9b,0x19,0xc9,0xf7,0x6b,0x2f,0xdb,0xb8,0x18,0x6e,0x80,0xd6,0x4d,0x8c,0xab,0x16,0x4f,0x52,0x38,0xf5,0x31,0x84,0x61,0xbf,0x89,0xd4,0xd9,0x6e,0xe6,0x54,0x4c,0x81,0x6c,0x75,0x66,0x94,0x77,0x74,0xe0,0xf6,
+ 0x04,0x37,0x5b,0xda,0x93,0xf6,0xaf,0x92,0xfb,0x5f,0x8f,0x4b,0x1b,0x5f,0x05,0x34,0xe3,0xba,0xfa,0xb3,0x4c,0xb7,0xad,0x9f,0xb9,0xd0,0xb7,0x22,0xe4,0xa5,0xc3,0x02,0xa9,0xa0,0x0b,0x9f,0x38,0x7a,0x5a,0x39,0x60,0x97,0xaa,0x21,0x62,0xfc,0x5b,0xbc,0xf4,0xa5,0x26,0x33,0x72,0xf6,0x81,0xc9,0x4d,0xa5,0x1e,0x97,0x99,0x12,0x09,0x90,0xfd,
+ 0x04,0xd7,0x5b,0x68,0x21,0x6b,0xab,0xe0,0x3a,0xe2,0x57,0xe9,0x4b,0x4e,0x3b,0xf1,0xc5,0x2f,0x44,0xe3,0xdf,0x26,0x6d,0x15,0x24,0xff,0x8c,0x5e,0xa6,0x9d,0xa7,0x31,0x97,0xda,0x4b,0xff,0x9e,0xd1,0xc5,0x3f,0x44,0x91,0x7a,0x67,0xd7,0xb9,0x78,0x59,0x8e,0x89,0xdf,0x35,0x9e,0x3d,0x59,0x13,0xea,0xea,0x24,0xf3,0xae,0x25,0x9a,0xbc,0x44,
+ 0x04,0x78,0xbc,0xda,0x14,0x0a,0xed,0x23,0xd4,0x30,0xcb,0x23,0xc3,0xdc,0x0d,0x01,0xf4,0x23,0xdb,0x13,0x4e,0xe9,0x4a,0x3a,0x8c,0xb4,0x83,0xf2,0xde,0xac,0x2a,0xc6,0x53,0x11,0x81,0x14,0xf6,0xf3,0x30,0x45,0xd4,0xe9,0xed,0x91,0x07,0x08,0x50,0x07,0xbf,0xbd,0xdf,0x8f,0x58,0xfe,0x7a,0x1a,0x24,0x45,0xd6,0x6a,0x99,0x00,0x45,0x47,0x6e,
+ 0x04,0xbb,0x79,0xf6,0x18,0x57,0xf7,0x43,0xbf,0xa1,0xb6,0xe7,0x11,0x1c,0xe4,0x09,0x43,0x77,0x25,0x69,0x69,0xe4,0xe1,0x51,0x59,0x12,0x3d,0x95,0x48,0xac,0xc3,0xbe,0x6c,0x1f,0x9d,0x9f,0x88,0x60,0xdc,0xff,0xd3,0xeb,0x36,0xdd,0x6c,0x31,0xff,0x2e,0x72,0x26,0xc2,0x00,0x9c,0x4c,0x94,0xd8,0xd7,0xd2,0xb5,0x68,0x6b,0xf7,0xab,0xd6,0x77,
+ 0x04,0x93,0x59,0x18,0x27,0xd9,0xe6,0x71,0x3b,0x4e,0x9f,0xae,0xa6,0x2c,0x72,0xb2,0x8d,0xfe,0xfa,0x68,0xe0,0xc0,0x51,0x60,0xb5,0xd6,0xaa,0xe8,0x8f,0xd2,0xe3,0x6c,0x36,0x07,0x3f,0x55,0x45,0xad,0x5a,0xf4,0x10,0xaf,0x26,0xaf,0xff,0x68,0x65,0x4c,0xf7,0x2d,0x45,0xe4,0x93,0x48,0x93,0x11,0x20,0x32,0x47,0x34,0x7a,0x89,0x0f,0x45,0x18,
+ 0x04,0x31,0xed,0x30,0x81,0xae,0xfe,0x00,0x1e,0xb6,0x40,0x20,0x69,0xee,0x2c,0xcc,0x18,0x62,0x93,0x7b,0x85,0x99,0x51,0x44,0xdb,0xa9,0x50,0x39,0x43,0x58,0x7b,0xf0,0xda,0xda,0x01,0xb8,0xcc,0x4d,0xf3,0x4f,0x5a,0xb3,0xb1,0xa3,0x59,0x61,0x52,0x08,0x94,0x6e,0x5e,0xe3,0x5f,0x98,0xee,0x77,0x5b,0x8c,0xce,0xcd,0x86,0xcc,0xc1,0x65,0x0f,
+ 0x04,0x7d,0xff,0x66,0xfa,0x98,0x50,0x9f,0xf3,0xe2,0xe5,0x10,0x45,0xf4,0x39,0x05,0x23,0xdc,0xcd,0xa4,0x3a,0x3b,0xc2,0x88,0x5e,0x58,0xc2,0x48,0x09,0x09,0x90,0xee,0xa8,0x54,0xc7,0x6c,0x2b,0x9a,0xde,0xb6,0xbb,0x57,0x18,0x23,0xe0,0x7f,0xd7,0xc6,0x5c,0x86,0x39,0xcf,0x9d,0x90,0x52,0x60,0x06,0x4c,0x8e,0x76,0x75,0xce,0x6d,0x98,0xb4,
+ 0x04,0x42,0x80,0x50,0x9a,0xab,0x64,0xed,0xfc,0x0b,0x4a,0x29,0x67,0xe4,0xcb,0xce,0x84,0x9c,0xb5,0x44,0xe4,0xa7,0x73,0x13,0xc8,0xe6,0xec,0xe5,0x79,0xfb,0xd7,0x42,0x0a,0x2e,0x89,0xfe,0x5c,0xc1,0x92,0x7d,0x55,0x4e,0x6a,0x3b,0xb1,0x40,0x33,0xea,0x7c,0x92,0x2c,0xd7,0x5c,0xba,0x2c,0x74,0x15,0xfd,0xab,0x52,0xf2,0x0b,0x18,0x60,0xf1,
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+ 0x04,0xe7,0x62,0xb8,0xa2,0x19,0xb4,0xf1,0x80,0x21,0x9c,0xc7,0xa9,0x05,0x92,0x45,0xe4,0x96,0x1b,0xd1,0x91,0xc0,0x38,0x99,0x78,0x9c,0x7a,0x34,0xb8,0x9e,0x8c,0x13,0x8e,0xc1,0x53,0x3e,0xf0,0x41,0x9b,0xb7,0x37,0x6e,0x0b,0xfd,0xe9,0x31,0x9d,0x10,0xa0,0x69,0x68,0x79,0x1d,0x9e,0xa0,0xee,0xd9,0xc1,0xce,0x63,0x45,0xae,0xd9,0x75,0x9e,
+ 0x04,0x9a,0xed,0xb0,0xd2,0x81,0xdb,0x16,0x4e,0x13,0x00,0x00,0xc5,0x69,0x7f,0xae,0x0f,0x30,0x5e,0xf8,0x48,0xbe,0x6f,0xff,0xb4,0x3a,0xc5,0x93,0xfb,0xb9,0x50,0xe9,0x52,0xfa,0x6f,0x63,0x33,0x59,0xbd,0xcd,0x82,0xb5,0x6b,0x0b,0x9f,0x96,0x5b,0x03,0x77,0x89,0xd4,0x6b,0x9a,0x81,0x41,0xb7,0x91,0xb2,0xae,0xfa,0x71,0x3f,0x96,0xc1,0x75,
+ 0x04,0x8a,0xd4,0x45,0xdb,0x62,0x81,0x62,0x60,0xe4,0xe6,0x87,0xfd,0x18,0x84,0xe4,0x8b,0x9f,0xc0,0x63,0x6d,0x03,0x15,0x47,0xd6,0x33,0x15,0xe7,0x92,0xe1,0x9b,0xfa,0xee,0x1d,0xe6,0x4f,0x99,0xd5,0xf1,0xcd,0x8b,0x6e,0xc9,0xcb,0x0f,0x78,0x7a,0x65,0x4a,0xe8,0x69,0x93,0xba,0x3d,0xb1,0x00,0x8e,0xf4,0x3c,0xff,0x06,0x84,0xcb,0x22,0xbd,
+ 0x04,0x1f,0x57,0x99,0xc9,0x5b,0xe8,0x90,0x63,0xb2,0x4f,0x26,0xe4,0x0c,0xb9,0x28,0xc1,0xa8,0x68,0xa7,0x6f,0xb0,0x09,0x46,0x07,0xe8,0x04,0x3d,0xb4,0x09,0xc9,0x1c,0x32,0xe7,0x57,0x24,0xe8,0x13,0xa4,0x19,0x1e,0x3a,0x83,0x90,0x07,0xf0,0x8e,0x2e,0x89,0x73,0x88,0xb0,0x6d,0x4a,0x00,0xde,0x6d,0xe6,0x0e,0x53,0x6d,0x91,0xfa,0xb5,0x66,
+ 0x04,0xa3,0x33,0x1a,0x4e,0x1b,0x42,0x23,0xec,0x2c,0x02,0x7e,0xdd,0x48,0x2c,0x92,0x8a,0x14,0xed,0x35,0x8d,0x93,0xf1,0xd4,0x21,0x7d,0x39,0xab,0xf6,0x9f,0xcb,0x5c,0xcc,0x28,0xd6,0x84,0xd2,0xaa,0xab,0xcd,0x63,0x83,0x77,0x5c,0xaa,0x62,0x39,0xde,0x26,0xd4,0xc6,0x93,0x7b,0xb6,0x03,0xec,0xb4,0x19,0x60,0x82,0xf4,0xcf,0xfd,0x50,0x9d,
+ 0x04,0x3f,0x39,0x52,0x19,0x97,0x74,0xc7,0xcf,0x39,0xb3,0x8b,0x66,0xcb,0x10,0x42,0xa6,0x26,0x0d,0x86,0x80,0x80,0x38,0x45,0xe4,0xd4,0x33,0xad,0xba,0x3b,0xb2,0x48,0x18,0x5e,0xa4,0x95,0xb6,0x8c,0xbc,0x7e,0xd4,0x17,0x3e,0xe6,0x3c,0x90,0x42,0xdc,0x50,0x26,0x25,0xc7,0xeb,0x7e,0x21,0xfb,0x02,0xca,0x9a,0x91,0x14,0xe0,0xa3,0xa1,0x8d,
+ 0x04,0xcd,0xfb,0x8c,0x0f,0x42,0x2e,0x14,0x4e,0x13,0x7c,0x24,0x12,0xc8,0x6c,0x17,0x1f,0x5f,0xe3,0xfa,0x3f,0x5b,0xbb,0x54,0x4e,0x90,0x76,0x28,0x8f,0x3c,0xed,0x78,0x6e,0x05,0x4f,0xd0,0x72,0x1b,0x77,0xc1,0x1c,0x79,0xbe,0xac,0xb3,0xc9,0x42,0x11,0xb0,0xa1,0x9b,0xda,0x08,0x65,0x2e,0xfe,0xaf,0x92,0x51,0x3a,0x3b,0x0a,0x16,0x36,0x98,
+ 0x04,0x73,0x59,0x8a,0x6a,0x1c,0x68,0x27,0x8f,0xa6,0xbf,0xd0,0xce,0x40,0x64,0xe6,0x82,0x35,0xbc,0x1c,0x0f,0x6b,0x20,0xa9,0x28,0x10,0x8b,0xe3,0x36,0x73,0x0f,0x87,0xe3,0xcb,0xae,0x61,0x25,0x19,0xb5,0x03,0x2e,0xcc,0x85,0xae,0xd8,0x11,0x27,0x1a,0x95,0xfe,0x79,0x39,0xd5,0xd3,0x46,0x01,0x40,0xba,0x31,0x8f,0x4d,0x14,0xab,0xa3,0x1d,
+ 0x04,0x58,0xde,0xbd,0x9a,0x7e,0xe2,0xc9,0xd5,0x91,0x32,0x47,0x8a,0x54,0x40,0xae,0x4d,0x5d,0x7e,0xd4,0x37,0x30,0x83,0x69,0xf9,0x2e,0xa8,0x6c,0x82,0x18,0x3f,0x10,0xa1,0x67,0x73,0xe7,0x6f,0x5e,0xdb,0xf4,0xda,0x0e,0x4f,0x1b,0xdf,0xfa,0xc0,0xf5,0x72,0x57,0xe1,0xdf,0xa4,0x65,0x84,0x29,0x31,0x30,0x9a,0x24,0x24,0x5f,0xda,0x6a,0x5d,
+ 0x04,0x8b,0x90,0x4d,0xe4,0x79,0x67,0x34,0x0c,0x5f,0x8c,0x35,0x72,0xa7,0x20,0x92,0x4e,0xf7,0x57,0x86,0x37,0xfe,0xab,0x19,0x49,0xac,0xb2,0x41,0xa5,0xa6,0xac,0x3f,0x5b,0x95,0x09,0x04,0x49,0x6f,0x98,0x24,0xb1,0xd6,0x3f,0x33,0x13,0xba,0xe2,0x1b,0x89,0xfa,0xe8,0x9a,0xfd,0xfc,0x81,0x1b,0x5e,0xce,0x03,0xfd,0x5a,0xa3,0x01,0x86,0x4f,
+ 0x04,0xf4,0x89,0x2b,0x6d,0x52,0x5c,0x77,0x1e,0x03,0x5f,0x2a,0x25,0x27,0x08,0xf3,0x78,0x4e,0x48,0x23,0x86,0x04,0xb4,0xf9,0x4d,0xc5,0x6e,0xaa,0x1e,0x54,0x6d,0x94,0x1a,0x34,0x6b,0x1a,0xa0,0xbc,0xe6,0x8b,0x1c,0x50,0xe5,0xb5,0x2f,0x50,0x9f,0xb5,0x52,0x2e,0x5c,0x25,0xe0,0x28,0xbc,0x8f,0x86,0x34,0x02,0xed,0xb7,0xbc,0xad,0x8b,0x1b,
+ 0x04,0x79,0xbe,0x66,0x7e,0xf9,0xdc,0xbb,0xac,0x55,0xa0,0x62,0x95,0xce,0x87,0x0b,0x07,0x02,0x9b,0xfc,0xdb,0x2d,0xce,0x28,0xd9,0x59,0xf2,0x81,0x5b,0x16,0xf8,0x17,0x98,0x48,0x3a,0xda,0x77,0x26,0xa3,0xc4,0x65,0x5d,0xa4,0xfb,0xfc,0x0e,0x11,0x08,0xa8,0xfd,0x17,0xb4,0x48,0xa6,0x85,0x54,0x19,0x9c,0x47,0xd0,0x8f,0xfb,0x10,0xd4,0xb8,
+ 0x04,0x79,0xbe,0x66,0x7e,0xf9,0xdc,0xbb,0xac,0x55,0xa0,0x62,0x95,0xce,0x87,0x0b,0x07,0x02,0x9b,0xfc,0xdb,0x2d,0xce,0x28,0xd9,0x59,0xf2,0x81,0x5b,0x16,0xf8,0x17,0x98,0xb7,0xc5,0x25,0x88,0xd9,0x5c,0x3b,0x9a,0xa2,0x5b,0x04,0x03,0xf1,0xee,0xf7,0x57,0x02,0xe8,0x4b,0xb7,0x59,0x7a,0xab,0xe6,0x63,0xb8,0x2f,0x6f,0x04,0xef,0x27,0x77,
+ 0x04,0x78,0x2c,0x8e,0xd1,0x7e,0x3b,0x2a,0x78,0x3b,0x54,0x64,0xf3,0x3b,0x09,0x65,0x2a,0x71,0xc6,0x78,0xe0,0x5e,0xc5,0x1e,0x84,0xe2,0xbc,0xfc,0x66,0x3a,0x3d,0xe9,0x63,0xaf,0x9a,0xcb,0x42,0x80,0xb8,0xc7,0xf7,0xc4,0x2f,0x4e,0xf9,0xab,0xa6,0x24,0x5e,0xc1,0xec,0x17,0x12,0xfd,0x38,0xa0,0xfa,0x96,0x41,0x8d,0x8c,0xd6,0xaa,0x61,0x52,
+ 0x04,0x6e,0x82,0x35,0x55,0x45,0x29,0x14,0x09,0x91,0x82,0xc6,0xb2,0xc1,0xd6,0xf0,0xb5,0xd2,0x8d,0x50,0xcc,0xd0,0x05,0xaf,0x2c,0xe1,0xbb,0xa5,0x41,0xaa,0x40,0xca,0xff,0x00,0x00,0x00,0x01,0x06,0x04,0x92,0xd5,0xa5,0x67,0x3e,0x0f,0x25,0xd8,0xd5,0x0f,0xb7,0xe5,0x8c,0x49,0xd8,0x6d,0x46,0xd4,0x21,0x69,0x55,0xe0,0xaa,0x3d,0x40,0xe1,
+ 0x04,0x6e,0x82,0x35,0x55,0x45,0x29,0x14,0x09,0x91,0x82,0xc6,0xb2,0xc1,0xd6,0xf0,0xb5,0xd2,0x8d,0x50,0xcc,0xd0,0x05,0xaf,0x2c,0xe1,0xbb,0xa5,0x41,0xaa,0x40,0xca,0xff,0xff,0xff,0xff,0xfe,0xf9,0xfb,0x6d,0x2a,0x5a,0x98,0xc1,0xf0,0xda,0x27,0x2a,0xf0,0x48,0x1a,0x73,0xb6,0x27,0x92,0xb9,0x2b,0xde,0x96,0xaa,0x1e,0x55,0xc2,0xbb,0x4e,
+ 0x04,0x00,0x00,0x00,0x01,0x3f,0xd2,0x22,0x48,0xd6,0x4d,0x95,0xf7,0x3c,0x29,0xb4,0x8a,0xb4,0x86,0x31,0x85,0x0b,0xe5,0x03,0xfd,0x00,0xf8,0x46,0x8b,0x5f,0x0f,0x70,0xe0,0xf6,0xee,0x7a,0xa4,0x3b,0xc2,0xc6,0xfd,0x25,0xb1,0xd8,0x26,0x92,0x41,0xcb,0xdd,0x9d,0xbb,0x0d,0xac,0x96,0xdc,0x96,0x23,0x1f,0x43,0x07,0x05,0xf8,0x38,0x71,0x7d,
+ 0x04,0x25,0xaf,0xd6,0x89,0xac,0xab,0xae,0xd6,0x7c,0x1f,0x29,0x6d,0xe5,0x94,0x06,0xf8,0xc5,0x50,0xf5,0x71,0x46,0xa0,0xb4,0xec,0x2c,0x97,0x87,0x6d,0xff,0xff,0xff,0xff,0xfa,0x46,0xa7,0x6e,0x52,0x03,0x22,0xdf,0xbc,0x49,0x1e,0xc4,0xf0,0xcc,0x19,0x74,0x20,0xfc,0x4e,0xa5,0x88,0x3d,0x8f,0x6d,0xd5,0x3c,0x35,0x4b,0xc4,0xf6,0x7c,0x35,
+ 0x04,0xd1,0x2e,0x6c,0x66,0xb6,0x77,0x34,0xc3,0xc8,0x4d,0x26,0x01,0xcf,0x5d,0x35,0xdc,0x09,0x7e,0x27,0x63,0x7f,0x0a,0xca,0x4a,0x4f,0xdb,0x74,0xb6,0xaa,0xdd,0x3b,0xb9,0x3f,0x5b,0xdf,0xf8,0x8b,0xd5,0x73,0x6d,0xf8,0x98,0xe6,0x99,0x00,0x6e,0xd7,0x50,0xf1,0x1c,0xf0,0x7c,0x58,0x66,0xcd,0x7a,0xd7,0x0c,0x71,0x21,0xff,0xff,0xff,0xff,
+ 0x04,0x6d,0x4a,0x7f,0x60,0xd4,0x77,0x4a,0x4f,0x0a,0xa8,0xbb,0xde,0xdb,0x95,0x3c,0x7e,0xea,0x79,0x09,0x40,0x7e,0x31,0x64,0x75,0x56,0x64,0xbc,0x28,0x00,0x00,0x00,0x00,0xe6,0x59,0xd3,0x4e,0x4d,0xf3,0x8d,0x9e,0x8c,0x9e,0xaa,0xdf,0xba,0x36,0x61,0x2c,0x76,0x91,0x95,0xbe,0x86,0xc7,0x7a,0xac,0x3f,0x36,0xe7,0x8b,0x53,0x86,0x80,0xfb};
+
+static const unsigned char wycheproof_ecdsa_signatures[] = { 0x30,0x46,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x21,0x00,0x90,0x0e,0x75,0xad,0x23,0x3f,0xcc,0x90,0x85,0x09,0xdb,0xff,0x59,0x22,0x64,0x7d,0xb3,0x7c,0x21,0xf4,0xaf,0xd3,0x20,0x3a,0xe8,0xdc,0x4a,0xe7,0x79,0x4b,0x0f,0x87,
+ 0x30,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
+ 0x30,0x81,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
+ 0x30,0x82,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
+ 0x30,0x46,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
+ 0x30,0x44,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
+ 0x30,0x85,0x01,0x00,0x00,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
+ 0x30,0x89,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
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+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x01,0x00,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x01,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x01,0xff,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x01,0x00,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x01,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x01,0xff,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x01,0x00,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x01,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x01,0xff,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,
+ 0x30,0x08,0x02,0x01,0x00,0x09,0x03,0x80,0xfe,0x01,
+ 0x30,0x06,0x02,0x01,0x00,0x09,0x01,0x42,
+ 0x30,0x06,0x02,0x01,0x00,0x01,0x01,0x01,
+ 0x30,0x06,0x02,0x01,0x00,0x01,0x01,0x00,
+ 0x30,0x05,0x02,0x01,0x00,0x05,0x00,
+ 0x30,0x05,0x02,0x01,0x00,0x0c,0x00,
+ 0x30,0x06,0x02,0x01,0x00,0x0c,0x01,0x30,
+ 0x30,0x05,0x02,0x01,0x00,0x30,0x00,
+ 0x30,0x08,0x02,0x01,0x00,0x30,0x03,0x02,0x01,0x00,
+ 0x30,0x08,0x02,0x01,0x01,0x09,0x03,0x80,0xfe,0x01,
+ 0x30,0x06,0x02,0x01,0x01,0x09,0x01,0x42,
+ 0x30,0x06,0x02,0x01,0x01,0x01,0x01,0x01,
+ 0x30,0x06,0x02,0x01,0x01,0x01,0x01,0x00,
+ 0x30,0x05,0x02,0x01,0x01,0x05,0x00,
+ 0x30,0x05,0x02,0x01,0x01,0x0c,0x00,
+ 0x30,0x06,0x02,0x01,0x01,0x0c,0x01,0x30,
+ 0x30,0x05,0x02,0x01,0x01,0x30,0x00,
+ 0x30,0x08,0x02,0x01,0x01,0x30,0x03,0x02,0x01,0x00,
+ 0x30,0x08,0x02,0x01,0xff,0x09,0x03,0x80,0xfe,0x01,
+ 0x30,0x06,0x02,0x01,0xff,0x09,0x01,0x42,
+ 0x30,0x06,0x02,0x01,0xff,0x01,0x01,0x01,
+ 0x30,0x06,0x02,0x01,0xff,0x01,0x01,0x00,
+ 0x30,0x05,0x02,0x01,0xff,0x05,0x00,
+ 0x30,0x05,0x02,0x01,0xff,0x0c,0x00,
+ 0x30,0x06,0x02,0x01,0xff,0x0c,0x01,0x30,
+ 0x30,0x05,0x02,0x01,0xff,0x30,0x00,
+ 0x30,0x08,0x02,0x01,0xff,0x30,0x03,0x02,0x01,0x00,
+ 0x30,0x28,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,0x09,0x03,0x80,0xfe,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,0x09,0x01,0x42,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,0x01,0x01,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,0x01,0x01,0x00,
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+ 0x30,0x45,0x02,0x21,0x00,0xe9,0x4d,0xbd,0xc3,0x87,0x95,0xfe,0x5c,0x90,0x4d,0x8f,0x16,0xd9,0x69,0xd3,0xb5,0x87,0xf0,0xa2,0x5d,0x2d,0xe9,0x0b,0x6d,0x8c,0x5c,0x53,0xff,0x88,0x7e,0x36,0x07,0x02,0x20,0x7a,0x94,0x73,0x69,0xc1,0x64,0x97,0x25,0x21,0xbb,0x8a,0xf4,0x06,0x81,0x3b,0x2d,0x9f,0x94,0xd2,0xae,0xaa,0x53,0xd4,0xc2,0x15,0xaa,0xa0,0xa2,0x57,0x8a,0x2c,0x5d,
+ 0x30,0x44,0x02,0x20,0x49,0xfc,0x10,0x2a,0x08,0xca,0x47,0xb6,0x0e,0x08,0x58,0xcd,0x02,0x84,0xd2,0x2c,0xdd,0xd7,0x23,0x3f,0x94,0xaa,0xff,0xbb,0x2d,0xb1,0xdd,0x2c,0xf0,0x84,0x25,0xe1,0x02,0x20,0x5b,0x16,0xfc,0xa5,0xa1,0x2c,0xdb,0x39,0x70,0x16,0x97,0xad,0x8e,0x39,0xff,0xd6,0xbd,0xec,0x00,0x24,0x29,0x8a,0xfa,0xa2,0x32,0x6a,0xea,0x09,0x20,0x0b,0x14,0xd6,
+ 0x30,0x44,0x02,0x20,0x41,0xef,0xa7,0xd3,0xf0,0x5a,0x00,0x10,0x67,0x5f,0xcb,0x91,0x8a,0x45,0xc6,0x93,0xda,0x4b,0x34,0x8d,0xf2,0x1a,0x59,0xd6,0xf9,0xcd,0x73,0xe0,0xd8,0x31,0xd6,0x7a,0x02,0x20,0x44,0x54,0xad,0xa6,0x93,0xe5,0xe2,0x6b,0x7b,0xd6,0x93,0x23,0x6d,0x34,0x0f,0x80,0x54,0x5c,0x83,0x45,0x77,0xb6,0xf7,0x3d,0x37,0x8c,0x7b,0xcc,0x53,0x42,0x44,0xda,
+ 0x30,0x45,0x02,0x21,0x00,0xb6,0x15,0x69,0x8c,0x35,0x8b,0x35,0x92,0x0d,0xd8,0x83,0xec,0xa6,0x25,0xa6,0xc5,0xf7,0x56,0x39,0x70,0xcd,0xfc,0x37,0x8f,0x8f,0xe0,0xce,0xe1,0x70,0x92,0x14,0x4c,0x02,0x20,0x25,0xf4,0x7b,0x32,0x6b,0x5b,0xe1,0xfb,0x61,0x0b,0x88,0x51,0x53,0xea,0x84,0xd4,0x1e,0xb4,0x71,0x6b,0xe6,0x6a,0x99,0x4e,0x87,0x79,0x98,0x9d,0xf1,0xc8,0x63,0xd4,
+ 0x30,0x45,0x02,0x21,0x00,0x87,0xcf,0x8c,0x0e,0xb8,0x2d,0x44,0xf6,0x9c,0x60,0xa2,0xff,0x54,0x57,0xd3,0xaa,0xa3,0x22,0xe7,0xec,0x61,0xae,0x5a,0xec,0xfd,0x67,0x8a,0xe1,0xc1,0x93,0x2b,0x0e,0x02,0x20,0x3a,0xdd,0x3b,0x11,0x58,0x15,0x04,0x7d,0x6e,0xb3,0x40,0xa3,0xe0,0x08,0x98,0x9e,0xaa,0x0f,0x87,0x08,0xd1,0x79,0x48,0x14,0x72,0x90,0x94,0xd0,0x8d,0x24,0x60,0xd3,
+ 0x30,0x44,0x02,0x20,0x62,0xf4,0x8e,0xf7,0x1a,0xce,0x27,0xbf,0x5a,0x01,0x83,0x4d,0xe1,0xf7,0xe3,0xf9,0x48,0xb9,0xdc,0xe1,0xca,0x1e,0x91,0x1d,0x5e,0x13,0xd3,0xb1,0x04,0x47,0x1d,0x82,0x02,0x20,0x5e,0xa8,0xf3,0x3f,0x0c,0x77,0x89,0x72,0xc4,0x58,0x20,0x80,0xde,0xda,0x9b,0x34,0x18,0x57,0xdd,0x64,0x51,0x4f,0x08,0x49,0xa0,0x5f,0x69,0x64,0xc2,0xe3,0x40,0x22,
+ 0x30,0x45,0x02,0x21,0x00,0xf6,0xb0,0xe2,0xf6,0xfe,0x02,0x0c,0xf7,0xc0,0xc2,0x01,0x37,0x43,0x43,0x44,0xed,0x7a,0xdd,0x6c,0x4b,0xe5,0x18,0x61,0xe2,0xd1,0x4c,0xbd,0xa4,0x72,0xa6,0xff,0xb4,0x02,0x20,0x64,0x16,0xc8,0xdd,0x3e,0x5c,0x52,0x82,0xb3,0x06,0xe8,0xdc,0x8f,0xf3,0x4a,0xb6,0x4c,0xc9,0x95,0x49,0x23,0x2d,0x67,0x8d,0x71,0x44,0x02,0xeb,0x6c,0xa7,0xaa,0x0f,
+ 0x30,0x45,0x02,0x21,0x00,0xdb,0x09,0xd8,0x46,0x0f,0x05,0xef,0xf2,0x3b,0xc7,0xe4,0x36,0xb6,0x7d,0xa5,0x63,0xfa,0x4b,0x4e,0xdb,0x58,0xac,0x24,0xce,0x20,0x1f,0xa8,0xa3,0x58,0x12,0x50,0x57,0x02,0x20,0x46,0xda,0x11,0x67,0x54,0x60,0x29,0x40,0xc8,0x99,0x9c,0x8d,0x66,0x5f,0x78,0x6c,0x50,0xf5,0x77,0x2c,0x0a,0x3c,0xdb,0xda,0x07,0x5e,0x77,0xea,0xbc,0x64,0xdf,0x16,
+ 0x30,0x44,0x02,0x20,0x59,0x2c,0x41,0xe1,0x65,0x17,0xf1,0x2f,0xca,0xbd,0x98,0x26,0x76,0x74,0xf9,0x74,0xb5,0x88,0xe9,0xf3,0x5d,0x35,0x40,0x6c,0x1a,0x7b,0xb2,0xed,0x1d,0x19,0xb7,0xb8,0x02,0x20,0x3e,0x65,0xa0,0x6b,0xd9,0xf8,0x3c,0xaa,0xeb,0x7b,0x00,0xf2,0x36,0x8d,0x7e,0x0d,0xec,0xe6,0xb1,0x22,0x21,0x26,0x9a,0x9b,0x5b,0x76,0x51,0x98,0xf8,0x40,0xa3,0xa1,
+ 0x30,0x45,0x02,0x21,0x00,0xbe,0x0d,0x70,0x88,0x7d,0x5e,0x40,0x82,0x1a,0x61,0xb6,0x80,0x47,0xde,0x4e,0xa0,0x3d,0xeb,0xfd,0xf5,0x1c,0xdf,0x4d,0x4b,0x19,0x55,0x58,0xb9,0x59,0xa0,0x32,0xb2,0x02,0x20,0x7d,0x99,0x4b,0x2d,0x8f,0x1d,0xbb,0xeb,0x13,0x53,0x4e,0xb3,0xf6,0xe5,0xdc,0xcd,0x85,0xf5,0xc4,0x13,0x3c,0x27,0xd9,0xe6,0x42,0x71,0xb1,0x82,0x6c,0xe1,0xf6,0x7d,
+ 0x30,0x45,0x02,0x21,0x00,0xfa,0xe9,0x2d,0xfc,0xb2,0xee,0x39,0x2d,0x27,0x0a,0xf3,0xa5,0x73,0x9f,0xaa,0x26,0xd4,0xf9,0x7b,0xfd,0x39,0xed,0x3c,0xbe,0xe4,0xd2,0x9e,0x26,0xaf,0x3b,0x20,0x6a,0x02,0x20,0x6c,0x9b,0xa3,0x7f,0x9f,0xaa,0x6a,0x1f,0xd3,0xf6,0x5f,0x23,0xb4,0xe8,0x53,0xd4,0x69,0x2a,0x72,0x74,0x24,0x0a,0x12,0xdb,0x7b,0xa3,0x88,0x48,0x30,0x63,0x0d,0x16,
+ 0x30,0x44,0x02,0x20,0x17,0x6a,0x25,0x57,0x56,0x6f,0xfa,0x51,0x8b,0x11,0x22,0x66,0x94,0xeb,0x98,0x02,0xed,0x20,0x98,0xbf,0xe2,0x78,0xe5,0x57,0x0f,0xe1,0xd5,0xd7,0xaf,0x18,0xa9,0x43,0x02,0x20,0x12,0x91,0xdf,0x6a,0x0e,0xd5,0xfc,0x0d,0x15,0x09,0x8e,0x70,0xbc,0xf1,0x3a,0x00,0x92,0x84,0xdf,0xd0,0x68,0x9d,0x3b,0xb4,0xbe,0x6c,0xee,0xb9,0xbe,0x14,0x87,0xc4,
+ 0x30,0x44,0x02,0x20,0x60,0xbe,0x20,0xc3,0xdb,0xc1,0x62,0xdd,0x34,0xd2,0x67,0x80,0x62,0x1c,0x10,0x4b,0xbe,0x5d,0xac,0xe6,0x30,0x17,0x1b,0x2d,0xae,0xf0,0xd8,0x26,0x40,0x9e,0xe5,0xc2,0x02,0x20,0x42,0x7f,0x7e,0x4d,0x88,0x9d,0x54,0x91,0x70,0xbd,0xa6,0xa9,0x40,0x9f,0xb1,0xcb,0x8b,0x0e,0x76,0x3d,0x13,0xee,0xa7,0xbd,0x97,0xf6,0x4c,0xf4,0x1d,0xc6,0xe4,0x97,
+ 0x30,0x45,0x02,0x21,0x00,0xed,0xf0,0x3c,0xf6,0x3f,0x65,0x88,0x83,0x28,0x9a,0x1a,0x59,0x3d,0x10,0x07,0x89,0x5b,0x9f,0x23,0x6d,0x27,0xc9,0xc1,0xf1,0x31,0x30,0x89,0xaa,0xed,0x6b,0x16,0xae,0x02,0x20,0x1a,0x4d,0xd6,0xfc,0x08,0x14,0xdc,0x52,0x3d,0x1f,0xef,0xa8,0x1c,0x64,0xfb,0xf5,0xe6,0x18,0xe6,0x51,0xe7,0x09,0x6f,0xcc,0xad,0xbb,0x94,0xcd,0x48,0xe5,0xe0,0xcd};
+
+static const wycheproof_ecdsa_testvector testvectors[SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS] = {
+ /* tcId: 1. Signature malleability */
+ {0, 0, 6, 0, 72, 0 },
+ /* tcId: 2. valid */
+ {0, 0, 6, 72, 71, 1 },
+ /* tcId: 3. length of sequence [r, s] uses long form encoding */
+ {0, 0, 6, 143, 72, 0 },
+ /* tcId: 4. length of sequence [r, s] contains a leading 0 */
+ {0, 0, 6, 215, 73, 0 },
+ /* tcId: 5. length of sequence [r, s] uses 70 instead of 69 */
+ {0, 0, 6, 288, 71, 0 },
+ /* tcId: 6. length of sequence [r, s] uses 68 instead of 69 */
+ {0, 0, 6, 359, 71, 0 },
+ /* tcId: 7. uint32 overflow in length of sequence [r, s] */
+ {0, 0, 6, 430, 76, 0 },
+ /* tcId: 8. uint64 overflow in length of sequence [r, s] */
+ {0, 0, 6, 506, 80, 0 },
+ /* tcId: 9. length of sequence [r, s] = 2**31 - 1 */
+ {0, 0, 6, 586, 75, 0 },
+ /* tcId: 10. length of sequence [r, s] = 2**31 */
+ {0, 0, 6, 661, 75, 0 },
+ /* tcId: 11. length of sequence [r, s] = 2**32 - 1 */
+ {0, 0, 6, 736, 75, 0 },
+ /* tcId: 12. length of sequence [r, s] = 2**40 - 1 */
+ {0, 0, 6, 811, 76, 0 },
+ /* tcId: 13. length of sequence [r, s] = 2**64 - 1 */
+ {0, 0, 6, 887, 79, 0 },
+ /* tcId: 14. incorrect length of sequence [r, s] */
+ {0, 0, 6, 966, 71, 0 },
+ /* tcId: 15. replaced sequence [r, s] by an indefinite length tag without termination */
+ {0, 0, 6, 1037, 71, 0 },
+ /* tcId: 16. removing sequence [r, s] */
+ {0, 0, 6, 1108, 0, 0 },
+ /* tcId: 17. lonely sequence tag */
+ {0, 0, 6, 1108, 1, 0 },
+ /* tcId: 18. appending 0's to sequence [r, s] */
+ {0, 0, 6, 1109, 73, 0 },
+ /* tcId: 19. prepending 0's to sequence [r, s] */
+ {0, 0, 6, 1182, 73, 0 },
+ /* tcId: 20. appending unused 0's to sequence [r, s] */
+ {0, 0, 6, 1255, 73, 0 },
+ /* tcId: 21. appending null value to sequence [r, s] */
+ {0, 0, 6, 1328, 73, 0 },
+ /* tcId: 22. prepending garbage to sequence [r, s] */
+ {0, 0, 6, 1401, 76, 0 },
+ /* tcId: 23. prepending garbage to sequence [r, s] */
+ {0, 0, 6, 1477, 75, 0 },
+ /* tcId: 24. appending garbage to sequence [r, s] */
+ {0, 0, 6, 1552, 79, 0 },
+ /* tcId: 25. including undefined tags */
+ {0, 0, 6, 1631, 79, 0 },
+ /* tcId: 26. including undefined tags */
+ {0, 0, 6, 1710, 79, 0 },
+ /* tcId: 27. including undefined tags */
+ {0, 0, 6, 1789, 79, 0 },
+ /* tcId: 28. truncated length of sequence [r, s] */
+ {0, 0, 6, 1868, 2, 0 },
+ /* tcId: 29. including undefined tags to sequence [r, s] */
+ {0, 0, 6, 1870, 77, 0 },
+ /* tcId: 30. using composition with indefinite length for sequence [r, s] */
+ {0, 0, 6, 1947, 75, 0 },
+ /* tcId: 31. using composition with wrong tag for sequence [r, s] */
+ {0, 0, 6, 2022, 75, 0 },
+ /* tcId: 32. Replacing sequence [r, s] with NULL */
+ {0, 0, 6, 2097, 2, 0 },
+ /* tcId: 33. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2099, 71, 0 },
+ /* tcId: 34. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2170, 71, 0 },
+ /* tcId: 35. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2241, 71, 0 },
+ /* tcId: 36. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2312, 71, 0 },
+ /* tcId: 37. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2383, 71, 0 },
+ /* tcId: 38. dropping value of sequence [r, s] */
+ {0, 0, 6, 2454, 2, 0 },
+ /* tcId: 39. using composition for sequence [r, s] */
+ {0, 0, 6, 2456, 75, 0 },
+ /* tcId: 40. truncated sequence [r, s] */
+ {0, 0, 6, 2531, 70, 0 },
+ /* tcId: 41. truncated sequence [r, s] */
+ {0, 0, 6, 2601, 70, 0 },
+ /* tcId: 42. sequence [r, s] of size 4166 to check for overflows */
+ {0, 0, 6, 2671, 4170, 0 },
+ /* tcId: 43. indefinite length */
+ {0, 0, 6, 6841, 73, 0 },
+ /* tcId: 44. indefinite length with truncated delimiter */
+ {0, 0, 6, 6914, 72, 0 },
+ /* tcId: 45. indefinite length with additional element */
+ {0, 0, 6, 6986, 75, 0 },
+ /* tcId: 46. indefinite length with truncated element */
+ {0, 0, 6, 7061, 77, 0 },
+ /* tcId: 47. indefinite length with garbage */
+ {0, 0, 6, 7138, 77, 0 },
+ /* tcId: 48. indefinite length with nonempty EOC */
+ {0, 0, 6, 7215, 75, 0 },
+ /* tcId: 49. prepend empty sequence */
+ {0, 0, 6, 7290, 73, 0 },
+ /* tcId: 50. append empty sequence */
+ {0, 0, 6, 7363, 73, 0 },
+ /* tcId: 51. append zero */
+ {0, 0, 6, 7436, 74, 0 },
+ /* tcId: 52. append garbage with high tag number */
+ {0, 0, 6, 7510, 74, 0 },
+ /* tcId: 53. append null with explicit tag */
+ {0, 0, 6, 7584, 75, 0 },
+ /* tcId: 54. append null with implicit tag */
+ {0, 0, 6, 7659, 73, 0 },
+ /* tcId: 55. sequence of sequence */
+ {0, 0, 6, 7732, 73, 0 },
+ /* tcId: 56. truncated sequence: removed last 1 elements */
+ {0, 0, 6, 7805, 37, 0 },
+ /* tcId: 57. repeating element in sequence */
+ {0, 0, 6, 7842, 105, 0 },
+ /* tcId: 58. flipped bit 0 in r */
+ {0, 0, 6, 7947, 69, 0 },
+ /* tcId: 59. flipped bit 32 in r */
+ {0, 0, 6, 8016, 69, 0 },
+ /* tcId: 60. flipped bit 48 in r */
+ {0, 0, 6, 8085, 69, 0 },
+ /* tcId: 61. flipped bit 64 in r */
+ {0, 0, 6, 8154, 69, 0 },
+ /* tcId: 62. length of r uses long form encoding */
+ {0, 0, 6, 8223, 72, 0 },
+ /* tcId: 63. length of r contains a leading 0 */
+ {0, 0, 6, 8295, 73, 0 },
+ /* tcId: 64. length of r uses 34 instead of 33 */
+ {0, 0, 6, 8368, 71, 0 },
+ /* tcId: 65. length of r uses 32 instead of 33 */
+ {0, 0, 6, 8439, 71, 0 },
+ /* tcId: 66. uint32 overflow in length of r */
+ {0, 0, 6, 8510, 76, 0 },
+ /* tcId: 67. uint64 overflow in length of r */
+ {0, 0, 6, 8586, 80, 0 },
+ /* tcId: 68. length of r = 2**31 - 1 */
+ {0, 0, 6, 8666, 75, 0 },
+ /* tcId: 69. length of r = 2**31 */
+ {0, 0, 6, 8741, 75, 0 },
+ /* tcId: 70. length of r = 2**32 - 1 */
+ {0, 0, 6, 8816, 75, 0 },
+ /* tcId: 71. length of r = 2**40 - 1 */
+ {0, 0, 6, 8891, 76, 0 },
+ /* tcId: 72. length of r = 2**64 - 1 */
+ {0, 0, 6, 8967, 79, 0 },
+ /* tcId: 73. incorrect length of r */
+ {0, 0, 6, 9046, 71, 0 },
+ /* tcId: 74. replaced r by an indefinite length tag without termination */
+ {0, 0, 6, 9117, 71, 0 },
+ /* tcId: 75. removing r */
+ {0, 0, 6, 9188, 36, 0 },
+ /* tcId: 76. lonely integer tag */
+ {0, 0, 6, 9224, 37, 0 },
+ /* tcId: 77. lonely integer tag */
+ {0, 0, 6, 9261, 38, 0 },
+ /* tcId: 78. appending 0's to r */
+ {0, 0, 6, 9299, 73, 0 },
+ /* tcId: 79. prepending 0's to r */
+ {0, 0, 6, 9372, 73, 0 },
+ /* tcId: 80. appending unused 0's to r */
+ {0, 0, 6, 9445, 73, 0 },
+ /* tcId: 81. appending null value to r */
+ {0, 0, 6, 9518, 73, 0 },
+ /* tcId: 82. prepending garbage to r */
+ {0, 0, 6, 9591, 76, 0 },
+ /* tcId: 83. prepending garbage to r */
+ {0, 0, 6, 9667, 75, 0 },
+ /* tcId: 84. appending garbage to r */
+ {0, 0, 6, 9742, 79, 0 },
+ /* tcId: 85. truncated length of r */
+ {0, 0, 6, 9821, 38, 0 },
+ /* tcId: 86. including undefined tags to r */
+ {0, 0, 6, 9859, 77, 0 },
+ /* tcId: 87. using composition with indefinite length for r */
+ {0, 0, 6, 9936, 75, 0 },
+ /* tcId: 88. using composition with wrong tag for r */
+ {0, 0, 6, 10011, 75, 0 },
+ /* tcId: 89. Replacing r with NULL */
+ {0, 0, 6, 10086, 38, 0 },
+ /* tcId: 90. changing tag value of r */
+ {0, 0, 6, 10124, 71, 0 },
+ /* tcId: 91. changing tag value of r */
+ {0, 0, 6, 10195, 71, 0 },
+ /* tcId: 92. changing tag value of r */
+ {0, 0, 6, 10266, 71, 0 },
+ /* tcId: 93. changing tag value of r */
+ {0, 0, 6, 10337, 71, 0 },
+ /* tcId: 94. changing tag value of r */
+ {0, 0, 6, 10408, 71, 0 },
+ /* tcId: 95. dropping value of r */
+ {0, 0, 6, 10479, 38, 0 },
+ /* tcId: 96. using composition for r */
+ {0, 0, 6, 10517, 75, 0 },
+ /* tcId: 97. modifying first byte of r */
+ {0, 0, 6, 10592, 71, 0 },
+ /* tcId: 98. modifying last byte of r */
+ {0, 0, 6, 10663, 71, 0 },
+ /* tcId: 99. truncated r */
+ {0, 0, 6, 10734, 70, 0 },
+ /* tcId: 100. truncated r */
+ {0, 0, 6, 10804, 70, 0 },
+ /* tcId: 101. r of size 4130 to check for overflows */
+ {0, 0, 6, 10874, 4172, 0 },
+ /* tcId: 102. leading ff in r */
+ {0, 0, 6, 15046, 72, 0 },
+ /* tcId: 103. replaced r by infinity */
+ {0, 0, 6, 15118, 39, 0 },
+ /* tcId: 104. replacing r with zero */
+ {0, 0, 6, 15157, 39, 0 },
+ /* tcId: 105. flipped bit 0 in s */
+ {0, 0, 6, 15196, 69, 0 },
+ /* tcId: 106. flipped bit 32 in s */
+ {0, 0, 6, 15265, 69, 0 },
+ /* tcId: 107. flipped bit 48 in s */
+ {0, 0, 6, 15334, 69, 0 },
+ /* tcId: 108. flipped bit 64 in s */
+ {0, 0, 6, 15403, 69, 0 },
+ /* tcId: 109. length of s uses long form encoding */
+ {0, 0, 6, 15472, 72, 0 },
+ /* tcId: 110. length of s contains a leading 0 */
+ {0, 0, 6, 15544, 73, 0 },
+ /* tcId: 111. length of s uses 33 instead of 32 */
+ {0, 0, 6, 15617, 71, 0 },
+ /* tcId: 112. length of s uses 31 instead of 32 */
+ {0, 0, 6, 15688, 71, 0 },
+ /* tcId: 113. uint32 overflow in length of s */
+ {0, 0, 6, 15759, 76, 0 },
+ /* tcId: 114. uint64 overflow in length of s */
+ {0, 0, 6, 15835, 80, 0 },
+ /* tcId: 115. length of s = 2**31 - 1 */
+ {0, 0, 6, 15915, 75, 0 },
+ /* tcId: 116. length of s = 2**31 */
+ {0, 0, 6, 15990, 75, 0 },
+ /* tcId: 117. length of s = 2**32 - 1 */
+ {0, 0, 6, 16065, 75, 0 },
+ /* tcId: 118. length of s = 2**40 - 1 */
+ {0, 0, 6, 16140, 76, 0 },
+ /* tcId: 119. length of s = 2**64 - 1 */
+ {0, 0, 6, 16216, 79, 0 },
+ /* tcId: 120. incorrect length of s */
+ {0, 0, 6, 16295, 71, 0 },
+ /* tcId: 121. replaced s by an indefinite length tag without termination */
+ {0, 0, 6, 16366, 71, 0 },
+ /* tcId: 122. appending 0's to s */
+ {0, 0, 6, 16437, 73, 0 },
+ /* tcId: 123. prepending 0's to s */
+ {0, 0, 6, 16510, 73, 0 },
+ /* tcId: 124. appending null value to s */
+ {0, 0, 6, 16583, 73, 0 },
+ /* tcId: 125. prepending garbage to s */
+ {0, 0, 6, 16656, 76, 0 },
+ /* tcId: 126. prepending garbage to s */
+ {0, 0, 6, 16732, 75, 0 },
+ /* tcId: 127. appending garbage to s */
+ {0, 0, 6, 16807, 79, 0 },
+ /* tcId: 128. truncated length of s */
+ {0, 0, 6, 16886, 39, 0 },
+ /* tcId: 129. including undefined tags to s */
+ {0, 0, 6, 16925, 77, 0 },
+ /* tcId: 130. using composition with indefinite length for s */
+ {0, 0, 6, 17002, 75, 0 },
+ /* tcId: 131. using composition with wrong tag for s */
+ {0, 0, 6, 17077, 75, 0 },
+ /* tcId: 132. Replacing s with NULL */
+ {0, 0, 6, 17152, 39, 0 },
+ /* tcId: 133. changing tag value of s */
+ {0, 0, 6, 17191, 71, 0 },
+ /* tcId: 134. changing tag value of s */
+ {0, 0, 6, 17262, 71, 0 },
+ /* tcId: 135. changing tag value of s */
+ {0, 0, 6, 17333, 71, 0 },
+ /* tcId: 136. changing tag value of s */
+ {0, 0, 6, 17404, 71, 0 },
+ /* tcId: 137. changing tag value of s */
+ {0, 0, 6, 17475, 71, 0 },
+ /* tcId: 138. dropping value of s */
+ {0, 0, 6, 17546, 39, 0 },
+ /* tcId: 139. using composition for s */
+ {0, 0, 6, 17585, 75, 0 },
+ /* tcId: 140. modifying first byte of s */
+ {0, 0, 6, 17660, 71, 0 },
+ /* tcId: 141. modifying last byte of s */
+ {0, 0, 6, 17731, 71, 0 },
+ /* tcId: 142. truncated s */
+ {0, 0, 6, 17802, 70, 0 },
+ /* tcId: 143. truncated s */
+ {0, 0, 6, 17872, 70, 0 },
+ /* tcId: 144. s of size 4129 to check for overflows */
+ {0, 0, 6, 17942, 4172, 0 },
+ /* tcId: 145. leading ff in s */
+ {0, 0, 6, 22114, 72, 0 },
+ /* tcId: 146. replaced s by infinity */
+ {0, 0, 6, 22186, 40, 0 },
+ /* tcId: 147. replacing s with zero */
+ {0, 0, 6, 22226, 40, 0 },
+ /* tcId: 148. replaced r by r + n */
+ {0, 0, 6, 22266, 71, 0 },
+ /* tcId: 149. replaced r by r - n */
+ {0, 0, 6, 22337, 70, 0 },
+ /* tcId: 150. replaced r by r + 256 * n */
+ {0, 0, 6, 22407, 72, 0 },
+ /* tcId: 151. replaced r by -r */
+ {0, 0, 6, 22479, 71, 0 },
+ /* tcId: 152. replaced r by n - r */
+ {0, 0, 6, 22550, 70, 0 },
+ /* tcId: 153. replaced r by -n - r */
+ {0, 0, 6, 22620, 71, 0 },
+ /* tcId: 154. replaced r by r + 2**256 */
+ {0, 0, 6, 22691, 71, 0 },
+ /* tcId: 155. replaced r by r + 2**320 */
+ {0, 0, 6, 22762, 79, 0 },
+ /* tcId: 156. replaced s by s + n */
+ {0, 0, 6, 22841, 71, 0 },
+ /* tcId: 157. replaced s by s - n */
+ {0, 0, 6, 22912, 71, 0 },
+ /* tcId: 158. replaced s by s + 256 * n */
+ {0, 0, 6, 22983, 72, 0 },
+ /* tcId: 159. replaced s by -s */
+ {0, 0, 6, 23055, 70, 0 },
+ /* tcId: 160. replaced s by -n - s */
+ {0, 0, 6, 23125, 71, 0 },
+ /* tcId: 161. replaced s by s + 2**256 */
+ {0, 0, 6, 23196, 71, 0 },
+ /* tcId: 162. replaced s by s - 2**256 */
+ {0, 0, 6, 23267, 71, 0 },
+ /* tcId: 163. replaced s by s + 2**320 */
+ {0, 0, 6, 23338, 79, 0 },
+ /* tcId: 164. Signature with special case values r=0 and s=0 */
+ {0, 0, 6, 23417, 8, 0 },
+ /* tcId: 165. Signature with special case values r=0 and s=1 */
+ {0, 0, 6, 23425, 8, 0 },
+ /* tcId: 166. Signature with special case values r=0 and s=-1 */
+ {0, 0, 6, 23433, 8, 0 },
+ /* tcId: 167. Signature with special case values r=0 and s=n */
+ {0, 0, 6, 23441, 40, 0 },
+ /* tcId: 168. Signature with special case values r=0 and s=n - 1 */
+ {0, 0, 6, 23481, 40, 0 },
+ /* tcId: 169. Signature with special case values r=0 and s=n + 1 */
+ {0, 0, 6, 23521, 40, 0 },
+ /* tcId: 170. Signature with special case values r=0 and s=p */
+ {0, 0, 6, 23561, 40, 0 },
+ /* tcId: 171. Signature with special case values r=0 and s=p + 1 */
+ {0, 0, 6, 23601, 40, 0 },
+ /* tcId: 172. Signature with special case values r=1 and s=0 */
+ {0, 0, 6, 23641, 8, 0 },
+ /* tcId: 173. Signature with special case values r=1 and s=1 */
+ {0, 0, 6, 23649, 8, 0 },
+ /* tcId: 174. Signature with special case values r=1 and s=-1 */
+ {0, 0, 6, 23657, 8, 0 },
+ /* tcId: 175. Signature with special case values r=1 and s=n */
+ {0, 0, 6, 23665, 40, 0 },
+ /* tcId: 176. Signature with special case values r=1 and s=n - 1 */
+ {0, 0, 6, 23705, 40, 0 },
+ /* tcId: 177. Signature with special case values r=1 and s=n + 1 */
+ {0, 0, 6, 23745, 40, 0 },
+ /* tcId: 178. Signature with special case values r=1 and s=p */
+ {0, 0, 6, 23785, 40, 0 },
+ /* tcId: 179. Signature with special case values r=1 and s=p + 1 */
+ {0, 0, 6, 23825, 40, 0 },
+ /* tcId: 180. Signature with special case values r=-1 and s=0 */
+ {0, 0, 6, 23865, 8, 0 },
+ /* tcId: 181. Signature with special case values r=-1 and s=1 */
+ {0, 0, 6, 23873, 8, 0 },
+ /* tcId: 182. Signature with special case values r=-1 and s=-1 */
+ {0, 0, 6, 23881, 8, 0 },
+ /* tcId: 183. Signature with special case values r=-1 and s=n */
+ {0, 0, 6, 23889, 40, 0 },
+ /* tcId: 184. Signature with special case values r=-1 and s=n - 1 */
+ {0, 0, 6, 23929, 40, 0 },
+ /* tcId: 185. Signature with special case values r=-1 and s=n + 1 */
+ {0, 0, 6, 23969, 40, 0 },
+ /* tcId: 186. Signature with special case values r=-1 and s=p */
+ {0, 0, 6, 24009, 40, 0 },
+ /* tcId: 187. Signature with special case values r=-1 and s=p + 1 */
+ {0, 0, 6, 24049, 40, 0 },
+ /* tcId: 188. Signature with special case values r=n and s=0 */
+ {0, 0, 6, 24089, 40, 0 },
+ /* tcId: 189. Signature with special case values r=n and s=1 */
+ {0, 0, 6, 24129, 40, 0 },
+ /* tcId: 190. Signature with special case values r=n and s=-1 */
+ {0, 0, 6, 24169, 40, 0 },
+ /* tcId: 191. Signature with special case values r=n and s=n */
+ {0, 0, 6, 24209, 72, 0 },
+ /* tcId: 192. Signature with special case values r=n and s=n - 1 */
+ {0, 0, 6, 24281, 72, 0 },
+ /* tcId: 193. Signature with special case values r=n and s=n + 1 */
+ {0, 0, 6, 24353, 72, 0 },
+ /* tcId: 194. Signature with special case values r=n and s=p */
+ {0, 0, 6, 24425, 72, 0 },
+ /* tcId: 195. Signature with special case values r=n and s=p + 1 */
+ {0, 0, 6, 24497, 72, 0 },
+ /* tcId: 196. Signature with special case values r=n - 1 and s=0 */
+ {0, 0, 6, 24569, 40, 0 },
+ /* tcId: 197. Signature with special case values r=n - 1 and s=1 */
+ {0, 0, 6, 24609, 40, 0 },
+ /* tcId: 198. Signature with special case values r=n - 1 and s=-1 */
+ {0, 0, 6, 24649, 40, 0 },
+ /* tcId: 199. Signature with special case values r=n - 1 and s=n */
+ {0, 0, 6, 24689, 72, 0 },
+ /* tcId: 200. Signature with special case values r=n - 1 and s=n - 1 */
+ {0, 0, 6, 24761, 72, 0 },
+ /* tcId: 201. Signature with special case values r=n - 1 and s=n + 1 */
+ {0, 0, 6, 24833, 72, 0 },
+ /* tcId: 202. Signature with special case values r=n - 1 and s=p */
+ {0, 0, 6, 24905, 72, 0 },
+ /* tcId: 203. Signature with special case values r=n - 1 and s=p + 1 */
+ {0, 0, 6, 24977, 72, 0 },
+ /* tcId: 204. Signature with special case values r=n + 1 and s=0 */
+ {0, 0, 6, 25049, 40, 0 },
+ /* tcId: 205. Signature with special case values r=n + 1 and s=1 */
+ {0, 0, 6, 25089, 40, 0 },
+ /* tcId: 206. Signature with special case values r=n + 1 and s=-1 */
+ {0, 0, 6, 25129, 40, 0 },
+ /* tcId: 207. Signature with special case values r=n + 1 and s=n */
+ {0, 0, 6, 25169, 72, 0 },
+ /* tcId: 208. Signature with special case values r=n + 1 and s=n - 1 */
+ {0, 0, 6, 25241, 72, 0 },
+ /* tcId: 209. Signature with special case values r=n + 1 and s=n + 1 */
+ {0, 0, 6, 25313, 72, 0 },
+ /* tcId: 210. Signature with special case values r=n + 1 and s=p */
+ {0, 0, 6, 25385, 72, 0 },
+ /* tcId: 211. Signature with special case values r=n + 1 and s=p + 1 */
+ {0, 0, 6, 25457, 72, 0 },
+ /* tcId: 212. Signature with special case values r=p and s=0 */
+ {0, 0, 6, 25529, 40, 0 },
+ /* tcId: 213. Signature with special case values r=p and s=1 */
+ {0, 0, 6, 25569, 40, 0 },
+ /* tcId: 214. Signature with special case values r=p and s=-1 */
+ {0, 0, 6, 25609, 40, 0 },
+ /* tcId: 215. Signature with special case values r=p and s=n */
+ {0, 0, 6, 25649, 72, 0 },
+ /* tcId: 216. Signature with special case values r=p and s=n - 1 */
+ {0, 0, 6, 25721, 72, 0 },
+ /* tcId: 217. Signature with special case values r=p and s=n + 1 */
+ {0, 0, 6, 25793, 72, 0 },
+ /* tcId: 218. Signature with special case values r=p and s=p */
+ {0, 0, 6, 25865, 72, 0 },
+ /* tcId: 219. Signature with special case values r=p and s=p + 1 */
+ {0, 0, 6, 25937, 72, 0 },
+ /* tcId: 220. Signature with special case values r=p + 1 and s=0 */
+ {0, 0, 6, 26009, 40, 0 },
+ /* tcId: 221. Signature with special case values r=p + 1 and s=1 */
+ {0, 0, 6, 26049, 40, 0 },
+ /* tcId: 222. Signature with special case values r=p + 1 and s=-1 */
+ {0, 0, 6, 26089, 40, 0 },
+ /* tcId: 223. Signature with special case values r=p + 1 and s=n */
+ {0, 0, 6, 26129, 72, 0 },
+ /* tcId: 224. Signature with special case values r=p + 1 and s=n - 1 */
+ {0, 0, 6, 26201, 72, 0 },
+ /* tcId: 225. Signature with special case values r=p + 1 and s=n + 1 */
+ {0, 0, 6, 26273, 72, 0 },
+ /* tcId: 226. Signature with special case values r=p + 1 and s=p */
+ {0, 0, 6, 26345, 72, 0 },
+ /* tcId: 227. Signature with special case values r=p + 1 and s=p + 1 */
+ {0, 0, 6, 26417, 72, 0 },
+ /* tcId: 228. Signature encoding contains incorrect types: r=0, s=0.25 */
+ {0, 0, 6, 26489, 10, 0 },
+ /* tcId: 229. Signature encoding contains incorrect types: r=0, s=nan */
+ {0, 0, 6, 26499, 8, 0 },
+ /* tcId: 230. Signature encoding contains incorrect types: r=0, s=True */
+ {0, 0, 6, 26507, 8, 0 },
+ /* tcId: 231. Signature encoding contains incorrect types: r=0, s=False */
+ {0, 0, 6, 26515, 8, 0 },
+ /* tcId: 232. Signature encoding contains incorrect types: r=0, s=Null */
+ {0, 0, 6, 26523, 7, 0 },
+ /* tcId: 233. Signature encoding contains incorrect types: r=0, s=empyt UTF-8 string */
+ {0, 0, 6, 26530, 7, 0 },
+ /* tcId: 234. Signature encoding contains incorrect types: r=0, s="0" */
+ {0, 0, 6, 26537, 8, 0 },
+ /* tcId: 235. Signature encoding contains incorrect types: r=0, s=empty list */
+ {0, 0, 6, 26545, 7, 0 },
+ /* tcId: 236. Signature encoding contains incorrect types: r=0, s=list containing 0 */
+ {0, 0, 6, 26552, 10, 0 },
+ /* tcId: 237. Signature encoding contains incorrect types: r=1, s=0.25 */
+ {0, 0, 6, 26562, 10, 0 },
+ /* tcId: 238. Signature encoding contains incorrect types: r=1, s=nan */
+ {0, 0, 6, 26572, 8, 0 },
+ /* tcId: 239. Signature encoding contains incorrect types: r=1, s=True */
+ {0, 0, 6, 26580, 8, 0 },
+ /* tcId: 240. Signature encoding contains incorrect types: r=1, s=False */
+ {0, 0, 6, 26588, 8, 0 },
+ /* tcId: 241. Signature encoding contains incorrect types: r=1, s=Null */
+ {0, 0, 6, 26596, 7, 0 },
+ /* tcId: 242. Signature encoding contains incorrect types: r=1, s=empyt UTF-8 string */
+ {0, 0, 6, 26603, 7, 0 },
+ /* tcId: 243. Signature encoding contains incorrect types: r=1, s="0" */
+ {0, 0, 6, 26610, 8, 0 },
+ /* tcId: 244. Signature encoding contains incorrect types: r=1, s=empty list */
+ {0, 0, 6, 26618, 7, 0 },
+ /* tcId: 245. Signature encoding contains incorrect types: r=1, s=list containing 0 */
+ {0, 0, 6, 26625, 10, 0 },
+ /* tcId: 246. Signature encoding contains incorrect types: r=-1, s=0.25 */
+ {0, 0, 6, 26635, 10, 0 },
+ /* tcId: 247. Signature encoding contains incorrect types: r=-1, s=nan */
+ {0, 0, 6, 26645, 8, 0 },
+ /* tcId: 248. Signature encoding contains incorrect types: r=-1, s=True */
+ {0, 0, 6, 26653, 8, 0 },
+ /* tcId: 249. Signature encoding contains incorrect types: r=-1, s=False */
+ {0, 0, 6, 26661, 8, 0 },
+ /* tcId: 250. Signature encoding contains incorrect types: r=-1, s=Null */
+ {0, 0, 6, 26669, 7, 0 },
+ /* tcId: 251. Signature encoding contains incorrect types: r=-1, s=empyt UTF-8 string */
+ {0, 0, 6, 26676, 7, 0 },
+ /* tcId: 252. Signature encoding contains incorrect types: r=-1, s="0" */
+ {0, 0, 6, 26683, 8, 0 },
+ /* tcId: 253. Signature encoding contains incorrect types: r=-1, s=empty list */
+ {0, 0, 6, 26691, 7, 0 },
+ /* tcId: 254. Signature encoding contains incorrect types: r=-1, s=list containing 0 */
+ {0, 0, 6, 26698, 10, 0 },
+ /* tcId: 255. Signature encoding contains incorrect types: r=n, s=0.25 */
+ {0, 0, 6, 26708, 42, 0 },
+ /* tcId: 256. Signature encoding contains incorrect types: r=n, s=nan */
+ {0, 0, 6, 26750, 40, 0 },
+ /* tcId: 257. Signature encoding contains incorrect types: r=n, s=True */
+ {0, 0, 6, 26790, 40, 0 },
+ /* tcId: 258. Signature encoding contains incorrect types: r=n, s=False */
+ {0, 0, 6, 26830, 40, 0 },
+ /* tcId: 259. Signature encoding contains incorrect types: r=n, s=Null */
+ {0, 0, 6, 26870, 39, 0 },
+ /* tcId: 260. Signature encoding contains incorrect types: r=n, s=empyt UTF-8 string */
+ {0, 0, 6, 26909, 39, 0 },
+ /* tcId: 261. Signature encoding contains incorrect types: r=n, s="0" */
+ {0, 0, 6, 26948, 40, 0 },
+ /* tcId: 262. Signature encoding contains incorrect types: r=n, s=empty list */
+ {0, 0, 6, 26988, 39, 0 },
+ /* tcId: 263. Signature encoding contains incorrect types: r=n, s=list containing 0 */
+ {0, 0, 6, 27027, 42, 0 },
+ /* tcId: 264. Signature encoding contains incorrect types: r=p, s=0.25 */
+ {0, 0, 6, 27069, 42, 0 },
+ /* tcId: 265. Signature encoding contains incorrect types: r=p, s=nan */
+ {0, 0, 6, 27111, 40, 0 },
+ /* tcId: 266. Signature encoding contains incorrect types: r=p, s=True */
+ {0, 0, 6, 27151, 40, 0 },
+ /* tcId: 267. Signature encoding contains incorrect types: r=p, s=False */
+ {0, 0, 6, 27191, 40, 0 },
+ /* tcId: 268. Signature encoding contains incorrect types: r=p, s=Null */
+ {0, 0, 6, 27231, 39, 0 },
+ /* tcId: 269. Signature encoding contains incorrect types: r=p, s=empyt UTF-8 string */
+ {0, 0, 6, 27270, 39, 0 },
+ /* tcId: 270. Signature encoding contains incorrect types: r=p, s="0" */
+ {0, 0, 6, 27309, 40, 0 },
+ /* tcId: 271. Signature encoding contains incorrect types: r=p, s=empty list */
+ {0, 0, 6, 27349, 39, 0 },
+ /* tcId: 272. Signature encoding contains incorrect types: r=p, s=list containing 0 */
+ {0, 0, 6, 27388, 42, 0 },
+ /* tcId: 273. Signature encoding contains incorrect types: r=0.25, s=0.25 */
+ {0, 0, 6, 27430, 12, 0 },
+ /* tcId: 274. Signature encoding contains incorrect types: r=nan, s=nan */
+ {0, 0, 6, 27442, 8, 0 },
+ /* tcId: 275. Signature encoding contains incorrect types: r=True, s=True */
+ {0, 0, 6, 27450, 8, 0 },
+ /* tcId: 276. Signature encoding contains incorrect types: r=False, s=False */
+ {0, 0, 6, 27458, 8, 0 },
+ /* tcId: 277. Signature encoding contains incorrect types: r=Null, s=Null */
+ {0, 0, 6, 27466, 6, 0 },
+ /* tcId: 278. Signature encoding contains incorrect types: r=empyt UTF-8 string, s=empyt UTF-8 string */
+ {0, 0, 6, 27472, 6, 0 },
+ /* tcId: 279. Signature encoding contains incorrect types: r="0", s="0" */
+ {0, 0, 6, 27478, 8, 0 },
+ /* tcId: 280. Signature encoding contains incorrect types: r=empty list, s=empty list */
+ {0, 0, 6, 27486, 6, 0 },
+ /* tcId: 281. Signature encoding contains incorrect types: r=list containing 0, s=list containing 0 */
+ {0, 0, 6, 27492, 12, 0 },
+ /* tcId: 282. Signature encoding contains incorrect types: r=0.25, s=0 */
+ {0, 0, 6, 27504, 10, 0 },
+ /* tcId: 283. Signature encoding contains incorrect types: r=nan, s=0 */
+ {0, 0, 6, 27514, 8, 0 },
+ /* tcId: 284. Signature encoding contains incorrect types: r=True, s=0 */
+ {0, 0, 6, 27522, 8, 0 },
+ /* tcId: 285. Signature encoding contains incorrect types: r=False, s=0 */
+ {0, 0, 6, 27530, 8, 0 },
+ /* tcId: 286. Signature encoding contains incorrect types: r=Null, s=0 */
+ {0, 0, 6, 27538, 7, 0 },
+ /* tcId: 287. Signature encoding contains incorrect types: r=empyt UTF-8 string, s=0 */
+ {0, 0, 6, 27545, 7, 0 },
+ /* tcId: 288. Signature encoding contains incorrect types: r="0", s=0 */
+ {0, 0, 6, 27552, 8, 0 },
+ /* tcId: 289. Signature encoding contains incorrect types: r=empty list, s=0 */
+ {0, 0, 6, 27560, 7, 0 },
+ /* tcId: 290. Signature encoding contains incorrect types: r=list containing 0, s=0 */
+ {0, 0, 6, 27567, 10, 0 },
+ /* tcId: 291. Edge case for Shamir multiplication */
+ {0, 6, 5, 27577, 71, 1 },
+ /* tcId: 292. special case hash */
+ {0, 11, 9, 27648, 71, 1 },
+ /* tcId: 293. special case hash */
+ {0, 20, 10, 27719, 70, 1 },
+ /* tcId: 294. special case hash */
+ {0, 30, 11, 27789, 71, 1 },
+ /* tcId: 295. special case hash */
+ {0, 41, 10, 27860, 71, 1 },
+ /* tcId: 296. special case hash */
+ {0, 51, 10, 27931, 70, 1 },
+ /* tcId: 297. special case hash */
+ {0, 61, 10, 28001, 71, 1 },
+ /* tcId: 298. special case hash */
+ {0, 71, 9, 28072, 70, 1 },
+ /* tcId: 299. special case hash */
+ {0, 80, 10, 28142, 71, 1 },
+ /* tcId: 300. special case hash */
+ {0, 90, 10, 28213, 71, 1 },
+ /* tcId: 301. special case hash */
+ {0, 100, 10, 28284, 71, 1 },
+ /* tcId: 302. special case hash */
+ {0, 110, 10, 28355, 71, 1 },
+ /* tcId: 303. special case hash */
+ {0, 120, 11, 28426, 70, 1 },
+ /* tcId: 304. special case hash */
+ {0, 131, 10, 28496, 71, 1 },
+ /* tcId: 305. special case hash */
+ {0, 141, 10, 28567, 71, 1 },
+ /* tcId: 306. special case hash */
+ {0, 151, 10, 28638, 70, 1 },
+ /* tcId: 307. special case hash */
+ {0, 161, 10, 28708, 71, 1 },
+ /* tcId: 308. special case hash */
+ {0, 171, 10, 28779, 71, 1 },
+ /* tcId: 309. special case hash */
+ {0, 181, 10, 28850, 70, 1 },
+ /* tcId: 310. special case hash */
+ {0, 191, 10, 28920, 71, 1 },
+ /* tcId: 311. special case hash */
+ {0, 201, 10, 28991, 71, 1 },
+ /* tcId: 312. special case hash */
+ {0, 211, 10, 29062, 71, 1 },
+ /* tcId: 313. special case hash */
+ {0, 221, 10, 29133, 70, 1 },
+ /* tcId: 314. special case hash */
+ {0, 231, 10, 29203, 71, 1 },
+ /* tcId: 315. special case hash */
+ {0, 241, 10, 29274, 71, 1 },
+ /* tcId: 316. special case hash */
+ {0, 251, 10, 29345, 71, 1 },
+ /* tcId: 317. special case hash */
+ {0, 261, 11, 29416, 71, 1 },
+ /* tcId: 318. special case hash */
+ {0, 272, 11, 29487, 70, 1 },
+ /* tcId: 319. special case hash */
+ {0, 283, 9, 29557, 71, 1 },
+ /* tcId: 320. special case hash */
+ {0, 292, 9, 29628, 71, 1 },
+ /* tcId: 321. special case hash */
+ {0, 301, 10, 29699, 71, 1 },
+ /* tcId: 322. special case hash */
+ {0, 311, 10, 29770, 71, 1 },
+ /* tcId: 323. special case hash */
+ {0, 321, 10, 29841, 70, 1 },
+ /* tcId: 324. special case hash */
+ {0, 331, 10, 29911, 70, 1 },
+ /* tcId: 325. special case hash */
+ {0, 341, 10, 29981, 71, 1 },
+ /* tcId: 326. special case hash */
+ {0, 351, 9, 30052, 70, 1 },
+ /* tcId: 327. special case hash */
+ {0, 360, 10, 30122, 70, 1 },
+ /* tcId: 328. special case hash */
+ {0, 370, 10, 30192, 70, 1 },
+ /* tcId: 329. special case hash */
+ {0, 380, 10, 30262, 70, 1 },
+ /* tcId: 330. special case hash */
+ {0, 390, 9, 30332, 71, 1 },
+ /* tcId: 331. special case hash */
+ {0, 399, 11, 30403, 70, 1 },
+ /* tcId: 332. special case hash */
+ {0, 410, 9, 30473, 71, 1 },
+ /* tcId: 333. special case hash */
+ {0, 419, 9, 30544, 71, 1 },
+ /* tcId: 334. special case hash */
+ {0, 428, 11, 30615, 70, 1 },
+ /* tcId: 335. special case hash */
+ {0, 439, 8, 30685, 71, 1 },
+ /* tcId: 336. special case hash */
+ {0, 447, 10, 30756, 70, 1 },
+ /* tcId: 337. special case hash */
+ {0, 457, 10, 30826, 71, 1 },
+ /* tcId: 338. special case hash */
+ {0, 467, 10, 30897, 70, 1 },
+ /* tcId: 339. special case hash */
+ {0, 477, 10, 30967, 70, 1 },
+ /* tcId: 340. special case hash */
+ {0, 487, 10, 31037, 70, 1 },
+ /* tcId: 341. special case hash */
+ {0, 497, 10, 31107, 71, 1 },
+ /* tcId: 342. special case hash */
+ {0, 507, 10, 31178, 70, 1 },
+ /* tcId: 343. special case hash */
+ {0, 517, 10, 31248, 70, 1 },
+ /* tcId: 344. special case hash */
+ {0, 527, 10, 31318, 71, 1 },
+ /* tcId: 345. special case hash */
+ {0, 537, 9, 31389, 70, 1 },
+ /* tcId: 346. k*G has a large x-coordinate */
+ {65, 0, 6, 31459, 24, 1 },
+ /* tcId: 347. r too large */
+ {65, 0, 6, 31483, 40, 0 },
+ /* tcId: 348. r,s are large */
+ {130, 0, 6, 31523, 40, 1 },
+ /* tcId: 349. r and s^-1 have a large Hamming weight */
+ {195, 0, 6, 31563, 70, 1 },
+ /* tcId: 350. r and s^-1 have a large Hamming weight */
+ {260, 0, 6, 31633, 70, 1 },
+ /* tcId: 351. small r and s */
+ {325, 0, 6, 31703, 8, 1 },
+ /* tcId: 352. small r and s */
+ {390, 0, 6, 31711, 8, 1 },
+ /* tcId: 353. small r and s */
+ {455, 0, 6, 31719, 8, 1 },
+ /* tcId: 354. small r and s */
+ {520, 0, 6, 31727, 8, 1 },
+ /* tcId: 355. small r and s */
+ {585, 0, 6, 31735, 8, 1 },
+ /* tcId: 356. small r and s */
+ {650, 0, 6, 31743, 8, 1 },
+ /* tcId: 357. r is larger than n */
+ {650, 0, 6, 31751, 40, 0 },
+ /* tcId: 358. s is larger than n */
+ {715, 0, 6, 31791, 10, 0 },
+ /* tcId: 359. small r and s^-1 */
+ {780, 0, 6, 31801, 40, 1 },
+ /* tcId: 360. smallish r and s^-1 */
+ {845, 0, 6, 31841, 45, 1 },
+ /* tcId: 361. 100-bit r and small s^-1 */
+ {910, 0, 6, 31886, 51, 1 },
+ /* tcId: 362. small r and 100 bit s^-1 */
+ {975, 0, 6, 31937, 40, 1 },
+ /* tcId: 363. 100-bit r and s^-1 */
+ {1040, 0, 6, 31977, 51, 1 },
+ /* tcId: 364. r and s^-1 are close to n */
+ {1105, 0, 6, 32028, 71, 1 },
+ /* tcId: 365. r and s are 64-bit integer */
+ {1170, 0, 6, 32099, 24, 1 },
+ /* tcId: 366. r and s are 100-bit integer */
+ {1235, 0, 6, 32123, 32, 1 },
+ /* tcId: 367. r and s are 128-bit integer */
+ {1300, 0, 6, 32155, 40, 1 },
+ /* tcId: 368. r and s are 160-bit integer */
+ {1365, 0, 6, 32195, 48, 1 },
+ /* tcId: 369. s == 1 */
+ {1430, 0, 6, 32243, 39, 1 },
+ /* tcId: 370. s == 0 */
+ {1430, 0, 6, 32282, 39, 0 },
+ /* tcId: 371. edge case modular inverse */
+ {1495, 0, 6, 32321, 70, 1 },
+ /* tcId: 372. edge case modular inverse */
+ {1560, 0, 6, 32391, 70, 1 },
+ /* tcId: 373. edge case modular inverse */
+ {1625, 0, 6, 32461, 70, 1 },
+ /* tcId: 374. edge case modular inverse */
+ {1690, 0, 6, 32531, 70, 1 },
+ /* tcId: 375. edge case modular inverse */
+ {1755, 0, 6, 32601, 70, 1 },
+ /* tcId: 376. edge case modular inverse */
+ {1820, 0, 6, 32671, 70, 1 },
+ /* tcId: 377. edge case modular inverse */
+ {1885, 0, 6, 32741, 70, 1 },
+ /* tcId: 378. edge case modular inverse */
+ {1950, 0, 6, 32811, 70, 1 },
+ /* tcId: 379. edge case modular inverse */
+ {2015, 0, 6, 32881, 70, 1 },
+ /* tcId: 380. edge case modular inverse */
+ {2080, 0, 6, 32951, 70, 1 },
+ /* tcId: 381. edge case modular inverse */
+ {2145, 0, 6, 33021, 70, 1 },
+ /* tcId: 382. edge case modular inverse */
+ {2210, 0, 6, 33091, 70, 1 },
+ /* tcId: 383. edge case modular inverse */
+ {2275, 0, 6, 33161, 70, 1 },
+ /* tcId: 384. edge case modular inverse */
+ {2340, 0, 6, 33231, 70, 1 },
+ /* tcId: 385. edge case modular inverse */
+ {2405, 0, 6, 33301, 70, 1 },
+ /* tcId: 386. point at infinity during verify */
+ {2470, 0, 6, 33371, 70, 0 },
+ /* tcId: 387. edge case for signature malleability */
+ {2535, 0, 6, 33441, 70, 1 },
+ /* tcId: 388. edge case for signature malleability */
+ {2600, 0, 6, 33511, 70, 0 },
+ /* tcId: 389. u1 == 1 */
+ {2665, 0, 6, 33581, 70, 1 },
+ /* tcId: 390. u1 == n - 1 */
+ {2730, 0, 6, 33651, 70, 1 },
+ /* tcId: 391. u2 == 1 */
+ {2795, 0, 6, 33721, 70, 1 },
+ /* tcId: 392. u2 == n - 1 */
+ {2860, 0, 6, 33791, 70, 1 },
+ /* tcId: 393. edge case for u1 */
+ {2925, 0, 6, 33861, 70, 1 },
+ /* tcId: 394. edge case for u1 */
+ {2990, 0, 6, 33931, 70, 1 },
+ /* tcId: 395. edge case for u1 */
+ {3055, 0, 6, 34001, 70, 1 },
+ /* tcId: 396. edge case for u1 */
+ {3120, 0, 6, 34071, 70, 1 },
+ /* tcId: 397. edge case for u1 */
+ {3185, 0, 6, 34141, 70, 1 },
+ /* tcId: 398. edge case for u1 */
+ {3250, 0, 6, 34211, 70, 1 },
+ /* tcId: 399. edge case for u1 */
+ {3315, 0, 6, 34281, 70, 1 },
+ /* tcId: 400. edge case for u1 */
+ {3380, 0, 6, 34351, 70, 1 },
+ /* tcId: 401. edge case for u1 */
+ {3445, 0, 6, 34421, 70, 1 },
+ /* tcId: 402. edge case for u1 */
+ {3510, 0, 6, 34491, 70, 1 },
+ /* tcId: 403. edge case for u1 */
+ {3575, 0, 6, 34561, 70, 1 },
+ /* tcId: 404. edge case for u1 */
+ {3640, 0, 6, 34631, 70, 1 },
+ /* tcId: 405. edge case for u1 */
+ {3705, 0, 6, 34701, 70, 1 },
+ /* tcId: 406. edge case for u1 */
+ {3770, 0, 6, 34771, 70, 1 },
+ /* tcId: 407. edge case for u1 */
+ {3835, 0, 6, 34841, 70, 1 },
+ /* tcId: 408. edge case for u2 */
+ {3900, 0, 6, 34911, 70, 1 },
+ /* tcId: 409. edge case for u2 */
+ {3965, 0, 6, 34981, 70, 1 },
+ /* tcId: 410. edge case for u2 */
+ {4030, 0, 6, 35051, 70, 1 },
+ /* tcId: 411. edge case for u2 */
+ {4095, 0, 6, 35121, 70, 1 },
+ /* tcId: 412. edge case for u2 */
+ {4160, 0, 6, 35191, 70, 1 },
+ /* tcId: 413. edge case for u2 */
+ {4225, 0, 6, 35261, 69, 1 },
+ /* tcId: 414. edge case for u2 */
+ {4290, 0, 6, 35330, 70, 1 },
+ /* tcId: 415. edge case for u2 */
+ {4355, 0, 6, 35400, 70, 1 },
+ /* tcId: 416. edge case for u2 */
+ {4420, 0, 6, 35470, 70, 1 },
+ /* tcId: 417. edge case for u2 */
+ {4485, 0, 6, 35540, 70, 1 },
+ /* tcId: 418. edge case for u2 */
+ {4550, 0, 6, 35610, 70, 1 },
+ /* tcId: 419. edge case for u2 */
+ {4615, 0, 6, 35680, 70, 1 },
+ /* tcId: 420. edge case for u2 */
+ {4680, 0, 6, 35750, 70, 1 },
+ /* tcId: 421. edge case for u2 */
+ {4745, 0, 6, 35820, 70, 1 },
+ /* tcId: 422. edge case for u2 */
+ {4810, 0, 6, 35890, 70, 1 },
+ /* tcId: 423. point duplication during verification */
+ {4875, 0, 6, 35960, 70, 1 },
+ /* tcId: 424. duplication bug */
+ {4940, 0, 6, 36030, 70, 0 },
+ /* tcId: 425. comparison with point at infinity */
+ {5005, 0, 6, 36100, 70, 0 },
+ /* tcId: 426. extreme value for k and edgecase s */
+ {5070, 0, 6, 36170, 71, 1 },
+ /* tcId: 427. extreme value for k and s^-1 */
+ {5135, 0, 6, 36241, 71, 1 },
+ /* tcId: 428. extreme value for k and s^-1 */
+ {5200, 0, 6, 36312, 71, 1 },
+ /* tcId: 429. extreme value for k and s^-1 */
+ {5265, 0, 6, 36383, 71, 1 },
+ /* tcId: 430. extreme value for k and s^-1 */
+ {5330, 0, 6, 36454, 71, 1 },
+ /* tcId: 431. extreme value for k */
+ {5395, 0, 6, 36525, 71, 1 },
+ /* tcId: 432. extreme value for k and edgecase s */
+ {5460, 0, 6, 36596, 70, 1 },
+ /* tcId: 433. extreme value for k and s^-1 */
+ {5525, 0, 6, 36666, 70, 1 },
+ /* tcId: 434. extreme value for k and s^-1 */
+ {5590, 0, 6, 36736, 70, 1 },
+ /* tcId: 435. extreme value for k and s^-1 */
+ {5655, 0, 6, 36806, 70, 1 },
+ /* tcId: 436. extreme value for k and s^-1 */
+ {5720, 0, 6, 36876, 70, 1 },
+ /* tcId: 437. extreme value for k */
+ {5785, 0, 6, 36946, 70, 1 },
+ /* tcId: 438. public key shares x-coordinate with generator */
+ {5850, 0, 6, 37016, 71, 0 },
+ /* tcId: 439. public key shares x-coordinate with generator */
+ {5850, 0, 6, 37087, 70, 0 },
+ /* tcId: 440. public key shares x-coordinate with generator */
+ {5915, 0, 6, 37157, 71, 0 },
+ /* tcId: 441. public key shares x-coordinate with generator */
+ {5915, 0, 6, 37228, 70, 0 },
+ /* tcId: 442. pseudorandom signature */
+ {5980, 546, 0, 37298, 71, 1 },
+ /* tcId: 443. pseudorandom signature */
+ {5980, 546, 3, 37369, 70, 1 },
+ /* tcId: 444. pseudorandom signature */
+ {5980, 0, 6, 37439, 71, 1 },
+ /* tcId: 445. pseudorandom signature */
+ {5980, 549, 20, 37510, 70, 1 },
+ /* tcId: 446. y-coordinate of the public key is small */
+ {6045, 569, 7, 37580, 70, 1 },
+ /* tcId: 447. y-coordinate of the public key is small */
+ {6045, 569, 7, 37650, 70, 1 },
+ /* tcId: 448. y-coordinate of the public key is small */
+ {6045, 569, 7, 37720, 71, 1 },
+ /* tcId: 449. y-coordinate of the public key is large */
+ {6110, 569, 7, 37791, 70, 1 },
+ /* tcId: 450. y-coordinate of the public key is large */
+ {6110, 569, 7, 37861, 71, 1 },
+ /* tcId: 451. y-coordinate of the public key is large */
+ {6110, 569, 7, 37932, 70, 1 },
+ /* tcId: 452. x-coordinate of the public key is small */
+ {6175, 569, 7, 38002, 70, 1 },
+ /* tcId: 453. x-coordinate of the public key is small */
+ {6175, 569, 7, 38072, 71, 1 },
+ /* tcId: 454. x-coordinate of the public key is small */
+ {6175, 569, 7, 38143, 71, 1 },
+ /* tcId: 455. x-coordinate of the public key has many trailing 1's */
+ {6240, 569, 7, 38214, 70, 1 },
+ /* tcId: 456. x-coordinate of the public key has many trailing 1's */
+ {6240, 569, 7, 38284, 71, 1 },
+ /* tcId: 457. x-coordinate of the public key has many trailing 1's */
+ {6240, 569, 7, 38355, 71, 1 },
+ /* tcId: 458. y-coordinate of the public key has many trailing 1's */
+ {6305, 569, 7, 38426, 70, 1 },
+ /* tcId: 459. y-coordinate of the public key has many trailing 1's */
+ {6305, 569, 7, 38496, 71, 1 },
+ /* tcId: 460. y-coordinate of the public key has many trailing 1's */
+ {6305, 569, 7, 38567, 71, 1 },
+ /* tcId: 461. x-coordinate of the public key has many trailing 0's */
+ {6370, 569, 7, 38638, 70, 1 },
+ /* tcId: 462. x-coordinate of the public key has many trailing 0's */
+ {6370, 569, 7, 38708, 70, 1 },
+ /* tcId: 463. x-coordinate of the public key has many trailing 0's */
+ {6370, 569, 7, 38778, 71, 1 },
+
+};
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json b/go-ethereum/crypto/secp256k1/libsecp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json
new file mode 100644
index 00000000..9c907479
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json
@@ -0,0 +1,6360 @@
+{
+ "algorithm" : "ECDSA",
+ "schema" : "ecdsa_bitcoin_verify_schema.json",
+ "generatorVersion" : "0.9rc5",
+ "numberOfTests" : 463,
+ "header" : [
+ "Test vectors of type EcdsaBitcoinVerify are meant for the verification",
+ "of a ECDSA variant used for bitcoin, that add signature non-malleability."
+ ],
+ "notes" : {
+ "ArithmeticError" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "Some implementations of ECDSA have arithmetic errors that occur when intermediate results have extreme values. This test vector has been constructed to test such occurences.",
+ "cves" : [
+ "CVE-2017-18146"
+ ]
+ },
+ "BerEncodedSignature" : {
+ "bugType" : "BER_ENCODING",
+ "description" : "ECDSA signatures are usually DER encoded. This signature contains valid values for r and s, but it uses alternative BER encoding.",
+ "effect" : "Accepting alternative BER encodings may be benign in some cases, or be an issue if protocol requires signature malleability.",
+ "cves" : [
+ "CVE-2020-14966",
+ "CVE-2020-13822",
+ "CVE-2019-14859",
+ "CVE-2016-1000342"
+ ]
+ },
+ "EdgeCasePublicKey" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "The test vector uses a special case public key. "
+ },
+ "EdgeCaseShamirMultiplication" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "Shamir proposed a fast method for computing the sum of two scalar multiplications efficiently. This test vector has been constructed so that an intermediate result is the point at infinity if Shamir's method is used."
+ },
+ "IntegerOverflow" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "The test vector contains an r and s that has been modified, so that the original value is restored if the implementation ignores the most significant bits.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "InvalidEncoding" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "ECDSA signatures are encoded using ASN.1. This test vector contains an incorrectly encoded signature. The test vector itself was generated from a valid signature by modifying its encoding.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "InvalidSignature" : {
+ "bugType" : "AUTH_BYPASS",
+ "description" : "The signature contains special case values such as r=0 and s=0. Buggy implementations may accept such values, if the implementation does not check boundaries and computes s^(-1) == 0.",
+ "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowning the message to sign.",
+ "cves" : [
+ "CVE-2022-21449",
+ "CVE-2021-43572",
+ "CVE-2022-24884"
+ ]
+ },
+ "InvalidTypesInSignature" : {
+ "bugType" : "AUTH_BYPASS",
+ "description" : "The signature contains invalid types. Dynamic typed languages sometime coerce such values of different types into integers. If an implementation is careless and has additional bugs, such as not checking integer boundaries then it may be possible that such signatures are accepted.",
+ "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowning the message to sign.",
+ "cves" : [
+ "CVE-2022-21449"
+ ]
+ },
+ "ModifiedInteger" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "The test vector contains an r and s that has been modified. The goal is to check for arithmetic errors.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "ModifiedSignature" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "The test vector contains an invalid signature that was generated from a valid signature by modifying it.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "ModularInverse" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "The test vectors contains a signature where computing the modular inverse of s hits an edge case.",
+ "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.",
+ "cves" : [
+ "CVE-2019-0865"
+ ]
+ },
+ "PointDuplication" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission.",
+ "cves" : [
+ "2020-12607",
+ "CVE-2015-2730"
+ ]
+ },
+ "RangeCheck" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "The test vector contains an r and s that has been modified. By adding or subtracting the order of the group (or other values) the test vector checks whether signature verification verifies the range of r and s.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "SignatureMalleabilityBitcoin" : {
+ "bugType" : "SIGNATURE_MALLEABILITY",
+ "description" : "\"BitCoins\"-curves are curves where signature malleability can be a serious issue. An implementation should only accept a signature s where s < n/2. If an implementation is not meant for uses cases that require signature malleability then this implemenation should be tested with another set of test vectors.",
+ "effect" : "In bitcoin exchanges, it may be used to make a double deposits or double withdrawals",
+ "links" : [
+ "https://en.bitcoin.it/wiki/Transaction_malleability",
+ "https://en.bitcoinwiki.org/wiki/Transaction_Malleability"
+ ]
+ },
+ "SmallRandS" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "The test vectors contains a signature where both r and s are small integers. Some libraries cannot verify such signatures.",
+ "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.",
+ "cves" : [
+ "2020-13895"
+ ]
+ },
+ "SpecialCaseHash" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "The test vector contains a signature where the hash of the message is a special case, e.g., contains a long run of 0 or 1 bits."
+ },
+ "ValidSignature" : {
+ "bugType" : "BASIC",
+ "description" : "The test vector contains a valid signature that was generated pseudorandomly. Such signatures should not fail to verify unless some of the parameters (e.g. curve or hash function) are not supported."
+ }
+ },
+ "testGroups" : [
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9",
+ "wx" : "00b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6f",
+ "wy" : "00f0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEuDj/ROW8F3vyEYnQdmCC/J2EMiaIf8l2\nA3EQC37iCm/wyddb+6ezGmvKGXRJbutW3jVwcZVdg8Sxutqgshgy6Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 1,
+ "comment" : "Signature malleability",
+ "flags" : [
+ "SignatureMalleabilityBitcoin"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3046022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc9832365022100900e75ad233fcc908509dbff5922647db37c21f4afd3203ae8dc4ae7794b0f87",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 2,
+ "comment" : "valid",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 3,
+ "comment" : "length of sequence [r, s] uses long form encoding",
+ "flags" : [
+ "BerEncodedSignature"
+ ],
+ "msg" : "313233343030",
+ "sig" : "308145022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 4,
+ "comment" : "length of sequence [r, s] contains a leading 0",
+ "flags" : [
+ "BerEncodedSignature"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30820045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 5,
+ "comment" : "length of sequence [r, s] uses 70 instead of 69",
+ "flags" : [
+ "InvalidEncoding"
+ ],
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 339,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "34303035333134343036",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 340,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "33303936343537353132",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 341,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "32373834303235363230",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 342,
+ "comment" : "special case hash",
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+ "SpecialCaseHash"
+ ],
+ "msg" : "32363138373837343138",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 343,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "31363432363235323632",
+ "sig" : "304402205827518344844fd6a7de73cbb0a6befdea7b13d2dee4475317f0f18ffc81524b02204f5ccb4e0b488b5a5d760aacddb2d791970fe43da61eb30e2e90208a817e46db",
+ "result" : "valid"
+ },
+ {
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+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "36383234313839343336",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 345,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "343834323435343235",
+ "sig" : "3044022052c683144e44119ae2013749d4964ef67509278f6d38ba869adcfa69970e123d02203479910167408f45bda420a626ec9c4ec711c1274be092198b4187c018b562ca",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0407310f90a9eae149a08402f54194a0f7b4ac427bf8d9bd6c7681071dc47dc36226a6d37ac46d61fd600c0bf1bff87689ed117dda6b0e59318ae010a197a26ca0",
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+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000407310f90a9eae149a08402f54194a0f7b4ac427bf8d9bd6c7681071dc47dc36226a6d37ac46d61fd600c0bf1bff87689ed117dda6b0e59318ae010a197a26ca0",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEBzEPkKnq4UmghAL1QZSg97SsQnv42b1s\ndoEHHcR9w2ImptN6xG1h/WAMC/G/+HaJ7RF92msOWTGK4BChl6JsoA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 346,
+ "comment" : "k*G has a large x-coordinate",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30160211014551231950b75fc4402da1722fc9baeb020103",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 347,
+ "comment" : "r too large",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3026022100fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2c020103",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04bc97e7585eecad48e16683bc4091708e1a930c683fc47001d4b383594f2c4e22705989cf69daeadd4e4e4b8151ed888dfec20fb01728d89d56b3f38f2ae9c8c5",
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+ "wy" : "705989cf69daeadd4e4e4b8151ed888dfec20fb01728d89d56b3f38f2ae9c8c5"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEvJfnWF7srUjhZoO8QJFwjhqTDGg/xHAB\n1LODWU8sTiJwWYnPadrq3U5OS4FR7YiN/sIPsBco2J1Ws/OPKunIxQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 348,
+ "comment" : "r,s are large",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3026022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413f020103",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0444ad339afbc21e9abf7b602a5ca535ea378135b6d10d81310bdd8293d1df3252b63ff7d0774770f8fe1d1722fa83acd02f434e4fc110a0cc8f6dddd37d56c463",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERK0zmvvCHpq/e2AqXKU16jeBNbbRDYEx\nC92Ck9HfMlK2P/fQd0dw+P4dFyL6g6zQL0NOT8EQoMyPbd3TfVbEYw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 349,
+ "comment" : "r and s^-1 have a large Hamming weight",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02203e9a7582886089c62fb840cf3b83061cd1cff3ae4341808bb5bdee6191174177",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041260c2122c9e244e1af5151bede0c3ae23b54d7c596881d3eebad21f37dd878c5c9a0c1a9ade76737a8811bd6a7f9287c978ee396aa89c11e47229d2ccb552f0",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEEmDCEiyeJE4a9RUb7eDDriO1TXxZaIHT\n7rrSHzfdh4xcmgwamt52c3qIEb1qf5KHyXjuOWqonBHkcinSzLVS8A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 350,
+ "comment" : "r and s^-1 have a large Hamming weight",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022024238e70b431b1a64efdf9032669939d4b77f249503fc6905feb7540dea3e6d2",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041877045be25d34a1d0600f9d5c00d0645a2a54379b6ceefad2e6bf5c2a3352ce821a532cc1751ee1d36d41c3d6ab4e9b143e44ec46d73478ea6a79a5c0e54159",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEGHcEW+JdNKHQYA+dXADQZFoqVDebbO76\n0ua/XCozUs6CGlMswXUe4dNtQcPWq06bFD5E7EbXNHjqanmlwOVBWQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 351,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020101020101",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04455439fcc3d2deeceddeaece60e7bd17304f36ebb602adf5a22e0b8f1db46a50aec38fb2baf221e9a8d1887c7bf6222dd1834634e77263315af6d23609d04f77",
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+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERVQ5/MPS3uzt3q7OYOe9FzBPNuu2Aq31\noi4Ljx20alCuw4+yuvIh6ajRiHx79iIt0YNGNOdyYzFa9tI2CdBPdw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 352,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020101020102",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece7180449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d",
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+ "wy" : "0449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece7180449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAELh9GawJMDDrOJDfeCRJ/7QS3BvlLGaIb\nscKs81zs5xgESa41I9clNOlklyz9OzivC93ZYZ5a8iPk0aQPNM+fHQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 353,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020101020103",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048e7abdbbd18de7452374c1879a1c3b01d13261e7d4571c3b47a1c76c55a2337326ed897cd517a4f5349db809780f6d2f2b9f6299d8b5a89077f1119a718fd7b3",
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+ "wy" : "26ed897cd517a4f5349db809780f6d2f2b9f6299d8b5a89077f1119a718fd7b3"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEjnq9u9GN50UjdMGHmhw7AdEyYefUVxw7\nR6HHbFWiM3Mm7Yl81Rek9TSduAl4D20vK59imdi1qJB38RGacY/Xsw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 354,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020102020101",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "047b333d4340d3d718dd3e6aff7de7bbf8b72bfd616c8420056052842376b9af1942117c5afeac755d6f376fc6329a7d76051b87123a4a5d0bc4a539380f03de7b",
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+ "wy" : "42117c5afeac755d6f376fc6329a7d76051b87123a4a5d0bc4a539380f03de7b"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200047b333d4340d3d718dd3e6aff7de7bbf8b72bfd616c8420056052842376b9af1942117c5afeac755d6f376fc6329a7d76051b87123a4a5d0bc4a539380f03de7b",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEezM9Q0DT1xjdPmr/fee7+Lcr/WFshCAF\nYFKEI3a5rxlCEXxa/qx1XW83b8Yymn12BRuHEjpKXQvEpTk4DwPeew==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 355,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020102020102",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d30ca4a0ddb6616c851d30ced682c40f83c62758a1f2759988d6763a88f1c0e503a80d5415650d41239784e8e2fb1235e9fe991d112ebb81186cbf0da2de3aff",
+ "wx" : "00d30ca4a0ddb6616c851d30ced682c40f83c62758a1f2759988d6763a88f1c0e5",
+ "wy" : "03a80d5415650d41239784e8e2fb1235e9fe991d112ebb81186cbf0da2de3aff"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d30ca4a0ddb6616c851d30ced682c40f83c62758a1f2759988d6763a88f1c0e503a80d5415650d41239784e8e2fb1235e9fe991d112ebb81186cbf0da2de3aff",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE0wykoN22YWyFHTDO1oLED4PGJ1ih8nWZ\niNZ2OojxwOUDqA1UFWUNQSOXhOji+xI16f6ZHREuu4EYbL8Not46/w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 356,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020102020103",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 357,
+ "comment" : "r is larger than n",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3026022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364143020103",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0448969b39991297b332a652d3ee6e01e909b39904e71fa2354a7830c7750baf24b4012d1b830d199ccb1fc972b32bfded55f09cd62d257e5e844e27e57a1594ec",
+ "wx" : "48969b39991297b332a652d3ee6e01e909b39904e71fa2354a7830c7750baf24",
+ "wy" : "00b4012d1b830d199ccb1fc972b32bfded55f09cd62d257e5e844e27e57a1594ec"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000448969b39991297b332a652d3ee6e01e909b39904e71fa2354a7830c7750baf24b4012d1b830d199ccb1fc972b32bfded55f09cd62d257e5e844e27e57a1594ec",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAESJabOZkSl7MyplLT7m4B6QmzmQTnH6I1\nSngwx3ULryS0AS0bgw0ZnMsfyXKzK/3tVfCc1i0lfl6ETiflehWU7A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 358,
+ "comment" : "s is larger than n",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30080201020203ed2979",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0402ef4d6d6cfd5a94f1d7784226e3e2a6c0a436c55839619f38fb4472b5f9ee777eb4acd4eebda5cd72875ffd2a2f26229c2dc6b46500919a432c86739f3ae866",
+ "wx" : "02ef4d6d6cfd5a94f1d7784226e3e2a6c0a436c55839619f38fb4472b5f9ee77",
+ "wy" : "7eb4acd4eebda5cd72875ffd2a2f26229c2dc6b46500919a432c86739f3ae866"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000402ef4d6d6cfd5a94f1d7784226e3e2a6c0a436c55839619f38fb4472b5f9ee777eb4acd4eebda5cd72875ffd2a2f26229c2dc6b46500919a432c86739f3ae866",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEAu9NbWz9WpTx13hCJuPipsCkNsVYOWGf\nOPtEcrX57nd+tKzU7r2lzXKHX/0qLyYinC3GtGUAkZpDLIZznzroZg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 359,
+ "comment" : "small r and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30260202010102203a74e9d3a74e9d3a74e9d3a74e9d3a749f8ab3732a0a89604a09bce5b2916da4",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04464f4ff715729cae5072ca3bd801d3195b67aec65e9b01aad20a2943dcbcb584b1afd29d31a39a11d570aa1597439b3b2d1971bf2f1abf15432d0207b10d1d08",
+ "wx" : "464f4ff715729cae5072ca3bd801d3195b67aec65e9b01aad20a2943dcbcb584",
+ "wy" : "00b1afd29d31a39a11d570aa1597439b3b2d1971bf2f1abf15432d0207b10d1d08"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004464f4ff715729cae5072ca3bd801d3195b67aec65e9b01aad20a2943dcbcb584b1afd29d31a39a11d570aa1597439b3b2d1971bf2f1abf15432d0207b10d1d08",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERk9P9xVynK5Qcso72AHTGVtnrsZemwGq\n0gopQ9y8tYSxr9KdMaOaEdVwqhWXQ5s7LRlxvy8avxVDLQIHsQ0dCA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 360,
+ "comment" : "smallish r and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "302b02072d9b4d347952cc02200343aefc2f25d98b882e86eb9e30d55a6eb508b516510b34024ae4b6362330b3",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04157f8fddf373eb5f49cfcf10d8b853cf91cbcd7d665c3522ba7dd738ddb79a4cdeadf1a5c448ea3c9f4191a8999abfcc757ac6d64567ef072c47fec613443b8f",
+ "wx" : "157f8fddf373eb5f49cfcf10d8b853cf91cbcd7d665c3522ba7dd738ddb79a4c",
+ "wy" : "00deadf1a5c448ea3c9f4191a8999abfcc757ac6d64567ef072c47fec613443b8f"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004157f8fddf373eb5f49cfcf10d8b853cf91cbcd7d665c3522ba7dd738ddb79a4cdeadf1a5c448ea3c9f4191a8999abfcc757ac6d64567ef072c47fec613443b8f",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEFX+P3fNz619Jz88Q2LhTz5HLzX1mXDUi\nun3XON23mkzerfGlxEjqPJ9BkaiZmr/MdXrG1kVn7wcsR/7GE0Q7jw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 361,
+ "comment" : "100-bit r and small s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3031020d1033e67e37b32b445580bf4efc02206f906f906f906f906f906f906f906f8fe1cab5eefdb214061dce3b22789f1d6f",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "040934a537466c07430e2c48feb990bb19fb78cecc9cee424ea4d130291aa237f0d4f92d23b462804b5b68c52558c01c9996dbf727fccabbeedb9621a400535afa",
+ "wx" : "0934a537466c07430e2c48feb990bb19fb78cecc9cee424ea4d130291aa237f0",
+ "wy" : "00d4f92d23b462804b5b68c52558c01c9996dbf727fccabbeedb9621a400535afa"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200040934a537466c07430e2c48feb990bb19fb78cecc9cee424ea4d130291aa237f0d4f92d23b462804b5b68c52558c01c9996dbf727fccabbeedb9621a400535afa",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAECTSlN0ZsB0MOLEj+uZC7Gft4zsyc7kJO\npNEwKRqiN/DU+S0jtGKAS1toxSVYwByZltv3J/zKu+7bliGkAFNa+g==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 362,
+ "comment" : "small r and 100 bit s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3026020201010220783266e90f43dafe5cd9b3b0be86de22f9de83677d0f50713a468ec72fcf5d57",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d6ef20be66c893f741a9bf90d9b74675d1c2a31296397acb3ef174fd0b300c654a0c95478ca00399162d7f0f2dc89efdc2b28a30fbabe285857295a4b0c4e265",
+ "wx" : "00d6ef20be66c893f741a9bf90d9b74675d1c2a31296397acb3ef174fd0b300c65",
+ "wy" : "4a0c95478ca00399162d7f0f2dc89efdc2b28a30fbabe285857295a4b0c4e265"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d6ef20be66c893f741a9bf90d9b74675d1c2a31296397acb3ef174fd0b300c654a0c95478ca00399162d7f0f2dc89efdc2b28a30fbabe285857295a4b0c4e265",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE1u8gvmbIk/dBqb+Q2bdGddHCoxKWOXrL\nPvF0/QswDGVKDJVHjKADmRYtfw8tyJ79wrKKMPur4oWFcpWksMTiZQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 363,
+ "comment" : "100-bit r and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3031020d062522bbd3ecbe7c39e93e7c260220783266e90f43dafe5cd9b3b0be86de22f9de83677d0f50713a468ec72fcf5d57",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04b7291d1404e0c0c07dab9372189f4bd58d2ceaa8d15ede544d9514545ba9ee0629c9a63d5e308769cc30ec276a410e6464a27eeafd9e599db10f053a4fe4a829",
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+ "wy" : "29c9a63d5e308769cc30ec276a410e6464a27eeafd9e599db10f053a4fe4a829"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b7291d1404e0c0c07dab9372189f4bd58d2ceaa8d15ede544d9514545ba9ee0629c9a63d5e308769cc30ec276a410e6464a27eeafd9e599db10f053a4fe4a829",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEtykdFATgwMB9q5NyGJ9L1Y0s6qjRXt5U\nTZUUVFup7gYpyaY9XjCHacww7CdqQQ5kZKJ+6v2eWZ2xDwU6T+SoKQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 364,
+ "comment" : "r and s^-1 are close to n",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd03640c1022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046e28303305d642ccb923b722ea86b2a0bc8e3735ecb26e849b19c9f76b2fdbb8186e80d64d8cab164f5238f5318461bf89d4d96ee6544c816c7566947774e0f6",
+ "wx" : "6e28303305d642ccb923b722ea86b2a0bc8e3735ecb26e849b19c9f76b2fdbb8",
+ "wy" : "186e80d64d8cab164f5238f5318461bf89d4d96ee6544c816c7566947774e0f6"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046e28303305d642ccb923b722ea86b2a0bc8e3735ecb26e849b19c9f76b2fdbb8186e80d64d8cab164f5238f5318461bf89d4d96ee6544c816c7566947774e0f6",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbigwMwXWQsy5I7ci6oayoLyONzXssm6E\nmxnJ92sv27gYboDWTYyrFk9SOPUxhGG/idTZbuZUTIFsdWaUd3Tg9g==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 365,
+ "comment" : "r and s are 64-bit integer",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30160209009c44febf31c3594d020900839ed28247c2b06b",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04375bda93f6af92fb5f8f4b1b5f0534e3bafab34cb7ad9fb9d0b722e4a5c302a9a00b9f387a5a396097aa2162fc5bbcf4a5263372f681c94da51e9799120990fd",
+ "wx" : "375bda93f6af92fb5f8f4b1b5f0534e3bafab34cb7ad9fb9d0b722e4a5c302a9",
+ "wy" : "00a00b9f387a5a396097aa2162fc5bbcf4a5263372f681c94da51e9799120990fd"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004375bda93f6af92fb5f8f4b1b5f0534e3bafab34cb7ad9fb9d0b722e4a5c302a9a00b9f387a5a396097aa2162fc5bbcf4a5263372f681c94da51e9799120990fd",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEN1vak/avkvtfj0sbXwU047r6s0y3rZ+5\n0Lci5KXDAqmgC584elo5YJeqIWL8W7z0pSYzcvaByU2lHpeZEgmQ/Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 366,
+ "comment" : "r and s are 100-bit integer",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "301e020d09df8b682430beef6f5fd7c7cf020d0fd0a62e13778f4222a0d61c8a",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d75b68216babe03ae257e94b4e3bf1c52f44e3df266d1524ff8c5ea69da73197da4bff9ed1c53f44917a67d7b978598e89df359e3d5913eaea24f3ae259abc44",
+ "wx" : "00d75b68216babe03ae257e94b4e3bf1c52f44e3df266d1524ff8c5ea69da73197",
+ "wy" : "00da4bff9ed1c53f44917a67d7b978598e89df359e3d5913eaea24f3ae259abc44"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d75b68216babe03ae257e94b4e3bf1c52f44e3df266d1524ff8c5ea69da73197da4bff9ed1c53f44917a67d7b978598e89df359e3d5913eaea24f3ae259abc44",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE11toIWur4DriV+lLTjvxxS9E498mbRUk\n/4xepp2nMZfaS/+e0cU/RJF6Z9e5eFmOid81nj1ZE+rqJPOuJZq8RA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 367,
+ "comment" : "r and s are 128-bit integer",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30260211008a598e563a89f526c32ebec8de26367a02110084f633e2042630e99dd0f1e16f7a04bf",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0478bcda140aed23d430cb23c3dc0d01f423db134ee94a3a8cb483f2deac2ac653118114f6f33045d4e9ed9107085007bfbddf8f58fe7a1a2445d66a990045476e",
+ "wx" : "78bcda140aed23d430cb23c3dc0d01f423db134ee94a3a8cb483f2deac2ac653",
+ "wy" : "118114f6f33045d4e9ed9107085007bfbddf8f58fe7a1a2445d66a990045476e"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000478bcda140aed23d430cb23c3dc0d01f423db134ee94a3a8cb483f2deac2ac653118114f6f33045d4e9ed9107085007bfbddf8f58fe7a1a2445d66a990045476e",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeLzaFArtI9QwyyPD3A0B9CPbE07pSjqM\ntIPy3qwqxlMRgRT28zBF1OntkQcIUAe/vd+PWP56GiRF1mqZAEVHbg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 368,
+ "comment" : "r and s are 160-bit integer",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "302e021500aa6eeb5823f7fa31b466bb473797f0d0314c0bdf021500e2977c479e6d25703cebbc6bd561938cc9d1bfb9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04bb79f61857f743bfa1b6e7111ce4094377256969e4e15159123d9548acc3be6c1f9d9f8860dcffd3eb36dd6c31ff2e7226c2009c4c94d8d7d2b5686bf7abd677",
+ "wx" : "00bb79f61857f743bfa1b6e7111ce4094377256969e4e15159123d9548acc3be6c",
+ "wy" : "1f9d9f8860dcffd3eb36dd6c31ff2e7226c2009c4c94d8d7d2b5686bf7abd677"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004bb79f61857f743bfa1b6e7111ce4094377256969e4e15159123d9548acc3be6c1f9d9f8860dcffd3eb36dd6c31ff2e7226c2009c4c94d8d7d2b5686bf7abd677",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEu3n2GFf3Q7+htucRHOQJQ3claWnk4VFZ\nEj2VSKzDvmwfnZ+IYNz/0+s23Wwx/y5yJsIAnEyU2NfStWhr96vWdw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 369,
+ "comment" : "s == 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3025022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c1020101",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 370,
+ "comment" : "s == 0",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3025022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c1020100",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0493591827d9e6713b4e9faea62c72b28dfefa68e0c05160b5d6aae88fd2e36c36073f5545ad5af410af26afff68654cf72d45e493489311203247347a890f4518",
+ "wx" : "0093591827d9e6713b4e9faea62c72b28dfefa68e0c05160b5d6aae88fd2e36c36",
+ "wy" : "073f5545ad5af410af26afff68654cf72d45e493489311203247347a890f4518"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000493591827d9e6713b4e9faea62c72b28dfefa68e0c05160b5d6aae88fd2e36c36073f5545ad5af410af26afff68654cf72d45e493489311203247347a890f4518",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEk1kYJ9nmcTtOn66mLHKyjf76aODAUWC1\n1qroj9LjbDYHP1VFrVr0EK8mr/9oZUz3LUXkk0iTESAyRzR6iQ9FGA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 371,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0431ed3081aefe001eb6402069ee2ccc1862937b85995144dba9503943587bf0dada01b8cc4df34f5ab3b1a359615208946e5ee35f98ee775b8ccecd86ccc1650f",
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+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEMe0wga7+AB62QCBp7izMGGKTe4WZUUTb\nqVA5Q1h78NraAbjMTfNPWrOxo1lhUgiUbl7jX5jud1uMzs2GzMFlDw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 372,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c102201b21717ad71d23bbac60a9ad0baf75b063c9fdf52a00ebf99d022172910993c9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "047dff66fa98509ff3e2e51045f4390523dccda43a3bc2885e58c248090990eea854c76c2b9adeb6bb571823e07fd7c65c8639cf9d905260064c8e7675ce6d98b4",
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+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEff9m+phQn/Pi5RBF9DkFI9zNpDo7wohe\nWMJICQmQ7qhUx2wrmt62u1cYI+B/18ZchjnPnZBSYAZMjnZ1zm2YtA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 373,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "044280509aab64edfc0b4a2967e4cbce849cb544e4a77313c8e6ece579fbd7420a2e89fe5cc1927d554e6a3bb14033ea7c922cd75cba2c7415fdab52f20b1860f1",
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+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 374,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "044f8df145194e3c4fc3eea26d43ce75b402d6b17472ddcbb254b8a79b0bf3d9cb2aa20d82844cb266344e71ca78f2ad27a75a09e5bc0fa57e4efd9d465a0888db",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAET43xRRlOPE/D7qJtQ851tALWsXRy3cuy\nVLinmwvz2csqog2ChEyyZjROccp48q0np1oJ5bwPpX5O/Z1GWgiI2w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
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+ {
+ "tcId" : 375,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "049598a57dd67ec3e16b587a338aa3a10a3a3913b41a3af32e3ed3ff01358c6b14122819edf8074bbc521f7d4cdce82fef7a516706affba1d93d9dea9ccae1a207",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAElZilfdZ+w+FrWHoziqOhCjo5E7QaOvMu\nPtP/ATWMaxQSKBnt+AdLvFIffUzc6C/velFnBq/7odk9neqcyuGiBw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 376,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "049171fec3ca20806bc084f12f0760911b60990bd80e5b2a71ca03a048b20f837e634fd17863761b2958d2be4e149f8d3d7abbdc18be03f451ab6c17fa0a1f8330",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEkXH+w8oggGvAhPEvB2CRG2CZC9gOWypx\nygOgSLIPg35jT9F4Y3YbKVjSvk4Un409ervcGL4D9FGrbBf6Ch+DMA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
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+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04777c8930b6e1d271100fe68ce93f163fa37612c5fff67f4a62fc3bafaf3d17a9ed73d86f60a51b5ed91353a3b054edc0aa92c9ebcbd0b75d188fdc882791d68d",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEd3yJMLbh0nEQD+aM6T8WP6N2EsX/9n9K\nYvw7r689F6ntc9hvYKUbXtkTU6OwVO3AqpLJ68vQt10Yj9yIJ5HWjQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 378,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04eabc248f626e0a63e1eb81c43d461a39a1dba881eb6ee2152b07c32d71bcf4700603caa8b9d33db13af44c6efbec8a198ed6124ac9eb17eaafd2824a545ec000",
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+ "wy" : "0603caa8b9d33db13af44c6efbec8a198ed6124ac9eb17eaafd2824a545ec000"
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE6rwkj2JuCmPh64HEPUYaOaHbqIHrbuIV\nKwfDLXG89HAGA8qoudM9sTr0TG777IoZjtYSSsnrF+qv0oJKVF7AAA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 379,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c1022006c778d4dfff7dee06ed88bc4e0ed34fc553aad67caf796f2a1c6487c1b2e877",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "049f7a13ada158a55f9ddf1a45f044f073d9b80030efdcfc9f9f58418fbceaf001f8ada0175090f80d47227d6713b6740f9a0091d88a837d0a1cd77b58a8f28d73",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEn3oTraFYpV+d3xpF8ETwc9m4ADDv3Pyf\nn1hBj7zq8AH4raAXUJD4DUcifWcTtnQPmgCR2IqDfQoc13tYqPKNcw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 380,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0411c4f3e461cd019b5c06ea0cea4c4090c3cc3e3c5d9f3c6d65b436826da9b4dbbbeb7a77e4cbfda207097c43423705f72c80476da3dac40a483b0ab0f2ead1cb",
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+ "wy" : "00bbeb7a77e4cbfda207097c43423705f72c80476da3dac40a483b0ab0f2ead1cb"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEEcTz5GHNAZtcBuoM6kxAkMPMPjxdnzxt\nZbQ2gm2ptNu763p35Mv9ogcJfENCNwX3LIBHbaPaxApIOwqw8urRyw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 381,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c10220745d294978007302033502e1acc48b63ae6500be43adbea1b258d6b423dbb416",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04e2e18682d53123aa01a6c5d00b0c623d671b462ea80bddd65227fd5105988aa4161907b3fd25044a949ea41c8e2ea8459dc6f1654856b8b61b31543bb1b45bdb",
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+ "wy" : "161907b3fd25044a949ea41c8e2ea8459dc6f1654856b8b61b31543bb1b45bdb"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE4uGGgtUxI6oBpsXQCwxiPWcbRi6oC93W\nUif9UQWYiqQWGQez/SUESpSepByOLqhFncbxZUhWuLYbMVQ7sbRb2w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 382,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c102207b2a785e3896f59b2d69da57648e80ad3c133a750a2847fd2098ccd902042b6c",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0490f8d4ca73de08a6564aaf005247b6f0ffe978504dce52605f46b7c3e56197dafadbe528eb70d9ee7ea0e70702db54f721514c7b8604ac2cb214f1decb7e383d",
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+ "wy" : "00fadbe528eb70d9ee7ea0e70702db54f721514c7b8604ac2cb214f1decb7e383d"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEkPjUynPeCKZWSq8AUke28P/peFBNzlJg\nX0a3w+Vhl9r62+Uo63DZ7n6g5wcC21T3IVFMe4YErCyyFPHey344PQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 383,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c1022071ae94a72ca896875e7aa4a4c3d29afdb4b35b6996273e63c47ac519256c5eb1",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04824c195c73cffdf038d101bce1687b5c3b6146f395c885976f7753b2376b948e3cdefa6fc347d13e4dcbc63a0b03a165180cd2be1431a0cf74ce1ea25082d2bc",
+ "wx" : "00824c195c73cffdf038d101bce1687b5c3b6146f395c885976f7753b2376b948e",
+ "wy" : "3cdefa6fc347d13e4dcbc63a0b03a165180cd2be1431a0cf74ce1ea25082d2bc"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004824c195c73cffdf038d101bce1687b5c3b6146f395c885976f7753b2376b948e3cdefa6fc347d13e4dcbc63a0b03a165180cd2be1431a0cf74ce1ea25082d2bc",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEgkwZXHPP/fA40QG84Wh7XDthRvOVyIWX\nb3dTsjdrlI483vpvw0fRPk3LxjoLA6FlGAzSvhQxoM90zh6iUILSvA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 384,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c102200fa527fa7343c0bc9ec35a6278bfbff4d83301b154fc4bd14aee7eb93445b5f9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042788a52f078eb3f202c4fa73e0d3386faf3df6be856003636f599922d4f5268f30b4f207c919bbdf5e67a8be4265a8174754b3aba8f16e575b77ff4d5a7eb64f",
+ "wx" : "2788a52f078eb3f202c4fa73e0d3386faf3df6be856003636f599922d4f5268f",
+ "wy" : "30b4f207c919bbdf5e67a8be4265a8174754b3aba8f16e575b77ff4d5a7eb64f"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042788a52f078eb3f202c4fa73e0d3386faf3df6be856003636f599922d4f5268f30b4f207c919bbdf5e67a8be4265a8174754b3aba8f16e575b77ff4d5a7eb64f",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEJ4ilLweOs/ICxPpz4NM4b6899r6FYANj\nb1mZItT1Jo8wtPIHyRm7315nqL5CZagXR1Szq6jxbldbd/9NWn62Tw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 385,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c102206539c0adadd0525ff42622164ce9314348bd0863b4c80e936b23ca0414264671",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d533b789a4af890fa7a82a1fae58c404f9a62a50b49adafab349c513b415087401b4171b803e76b34a9861e10f7bc289a066fd01bd29f84c987a10a5fb18c2d4",
+ "wx" : "00d533b789a4af890fa7a82a1fae58c404f9a62a50b49adafab349c513b4150874",
+ "wy" : "01b4171b803e76b34a9861e10f7bc289a066fd01bd29f84c987a10a5fb18c2d4"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d533b789a4af890fa7a82a1fae58c404f9a62a50b49adafab349c513b415087401b4171b803e76b34a9861e10f7bc289a066fd01bd29f84c987a10a5fb18c2d4",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE1TO3iaSviQ+nqCofrljEBPmmKlC0mtr6\ns0nFE7QVCHQBtBcbgD52s0qYYeEPe8KJoGb9Ab0p+EyYehCl+xjC1A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 386,
+ "comment" : "point at infinity during verify",
+ "flags" : [
+ "PointDuplication",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "043a3150798c8af69d1e6e981f3a45402ba1d732f4be8330c5164f49e10ec555b4221bd842bc5e4d97eff37165f60e3998a424d72a450cf95ea477c78287d0343a",
+ "wx" : "3a3150798c8af69d1e6e981f3a45402ba1d732f4be8330c5164f49e10ec555b4",
+ "wy" : "221bd842bc5e4d97eff37165f60e3998a424d72a450cf95ea477c78287d0343a"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200043a3150798c8af69d1e6e981f3a45402ba1d732f4be8330c5164f49e10ec555b4221bd842bc5e4d97eff37165f60e3998a424d72a450cf95ea477c78287d0343a",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEOjFQeYyK9p0ebpgfOkVAK6HXMvS+gzDF\nFk9J4Q7FVbQiG9hCvF5Nl+/zcWX2DjmYpCTXKkUM+V6kd8eCh9A0Og==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 387,
+ "comment" : "edge case for signature malleability",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a002207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "043b37df5fb347c69a0f17d85c0c7ca83736883a825e13143d0fcfc8101e851e800de3c090b6ca21ba543517330c04b12f948c6badf14a63abffdf4ef8c7537026",
+ "wx" : "3b37df5fb347c69a0f17d85c0c7ca83736883a825e13143d0fcfc8101e851e80",
+ "wy" : "0de3c090b6ca21ba543517330c04b12f948c6badf14a63abffdf4ef8c7537026"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200043b37df5fb347c69a0f17d85c0c7ca83736883a825e13143d0fcfc8101e851e800de3c090b6ca21ba543517330c04b12f948c6badf14a63abffdf4ef8c7537026",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEOzffX7NHxpoPF9hcDHyoNzaIOoJeExQ9\nD8/IEB6FHoAN48CQtsohulQ1FzMMBLEvlIxrrfFKY6v/3074x1NwJg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 388,
+ "comment" : "edge case for signature malleability",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a002207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a1",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04feb5163b0ece30ff3e03c7d55c4380fa2fa81ee2c0354942ff6f08c99d0cd82ce87de05ee1bda089d3e4e248fa0f721102acfffdf50e654be281433999df897e",
+ "wx" : "00feb5163b0ece30ff3e03c7d55c4380fa2fa81ee2c0354942ff6f08c99d0cd82c",
+ "wy" : "00e87de05ee1bda089d3e4e248fa0f721102acfffdf50e654be281433999df897e"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004feb5163b0ece30ff3e03c7d55c4380fa2fa81ee2c0354942ff6f08c99d0cd82ce87de05ee1bda089d3e4e248fa0f721102acfffdf50e654be281433999df897e",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE/rUWOw7OMP8+A8fVXEOA+i+oHuLANUlC\n/28IyZ0M2CzofeBe4b2gidPk4kj6D3IRAqz//fUOZUvigUM5md+Jfg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 389,
+ "comment" : "u1 == 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8022044a5ad0bd0636d9e12bc9e0a6bdd5e1bba77f523842193b3b82e448e05d5f11e",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04238ced001cf22b8853e02edc89cbeca5050ba7e042a7a77f9382cd414922897640683d3094643840f295890aa4c18aa39b41d77dd0fb3bb2700e4f9ec284ffc2",
+ "wx" : "238ced001cf22b8853e02edc89cbeca5050ba7e042a7a77f9382cd4149228976",
+ "wy" : "40683d3094643840f295890aa4c18aa39b41d77dd0fb3bb2700e4f9ec284ffc2"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004238ced001cf22b8853e02edc89cbeca5050ba7e042a7a77f9382cd414922897640683d3094643840f295890aa4c18aa39b41d77dd0fb3bb2700e4f9ec284ffc2",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEI4ztABzyK4hT4C7cicvspQULp+BCp6d/\nk4LNQUkiiXZAaD0wlGQ4QPKViQqkwYqjm0HXfdD7O7JwDk+ewoT/wg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 390,
+ "comment" : "u1 == n - 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8022044a5ad0bd0636d9e12bc9e0a6bdd5e1bba77f523842193b3b82e448e05d5f11e",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04961cf64817c06c0e51b3c2736c922fde18bd8c4906fcd7f5ef66c4678508f35ed2c5d18168cfbe70f2f123bd7419232bb92dd69113e2941061889481c5a027bf",
+ "wx" : "00961cf64817c06c0e51b3c2736c922fde18bd8c4906fcd7f5ef66c4678508f35e",
+ "wy" : "00d2c5d18168cfbe70f2f123bd7419232bb92dd69113e2941061889481c5a027bf"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004961cf64817c06c0e51b3c2736c922fde18bd8c4906fcd7f5ef66c4678508f35ed2c5d18168cfbe70f2f123bd7419232bb92dd69113e2941061889481c5a027bf",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAElhz2SBfAbA5Rs8JzbJIv3hi9jEkG/Nf1\n72bEZ4UI817SxdGBaM++cPLxI710GSMruS3WkRPilBBhiJSBxaAnvw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 391,
+ "comment" : "u2 == 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0413681eae168cd4ea7cf2e2a45d052742d10a9f64e796867dbdcb829fe0b1028816528760d177376c09df79de39557c329cc1753517acffe8fa2ec298026b8384",
+ "wx" : "13681eae168cd4ea7cf2e2a45d052742d10a9f64e796867dbdcb829fe0b10288",
+ "wy" : "16528760d177376c09df79de39557c329cc1753517acffe8fa2ec298026b8384"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000413681eae168cd4ea7cf2e2a45d052742d10a9f64e796867dbdcb829fe0b1028816528760d177376c09df79de39557c329cc1753517acffe8fa2ec298026b8384",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEE2gerhaM1Op88uKkXQUnQtEKn2TnloZ9\nvcuCn+CxAogWUodg0Xc3bAnfed45VXwynMF1NRes/+j6LsKYAmuDhA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 392,
+ "comment" : "u2 == n - 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "045aa7abfdb6b4086d543325e5d79c6e95ce42f866d2bb84909633a04bb1aa31c291c80088794905e1da33336d874e2f91ccf45cc59185bede5dd6f3f7acaae18b",
+ "wx" : "5aa7abfdb6b4086d543325e5d79c6e95ce42f866d2bb84909633a04bb1aa31c2",
+ "wy" : "0091c80088794905e1da33336d874e2f91ccf45cc59185bede5dd6f3f7acaae18b"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200045aa7abfdb6b4086d543325e5d79c6e95ce42f866d2bb84909633a04bb1aa31c291c80088794905e1da33336d874e2f91ccf45cc59185bede5dd6f3f7acaae18b",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEWqer/ba0CG1UMyXl15xulc5C+GbSu4SQ\nljOgS7GqMcKRyACIeUkF4dozM22HTi+RzPRcxZGFvt5d1vP3rKrhiw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 393,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022016e1e459457679df5b9434ae23f474b3e8d2a70bd6b5dbe692ba16da01f1fb0a",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0400277791b305a45b2b39590b2f05d3392a6c8182cef4eb540120e0f5c206c3e464108233fb0b8c3ac892d79ef8e0fbf92ed133addb4554270132584dc52eef41",
+ "wx" : "277791b305a45b2b39590b2f05d3392a6c8182cef4eb540120e0f5c206c3e4",
+ "wy" : "64108233fb0b8c3ac892d79ef8e0fbf92ed133addb4554270132584dc52eef41"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000400277791b305a45b2b39590b2f05d3392a6c8182cef4eb540120e0f5c206c3e464108233fb0b8c3ac892d79ef8e0fbf92ed133addb4554270132584dc52eef41",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEACd3kbMFpFsrOVkLLwXTOSpsgYLO9OtU\nASDg9cIGw+RkEIIz+wuMOsiS15744Pv5LtEzrdtFVCcBMlhNxS7vQQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 394,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02201c940f313f92647be257eccd7ed08b0baef3f0478f25871b53635302c5f6314a",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046efa092b68de9460f0bcc919005a5f6e80e19de98968be3cd2c770a9949bfb1ac75e6e5087d6550d5f9beb1e79e5029307bc255235e2d5dc99241ac3ab886c49",
+ "wx" : "6efa092b68de9460f0bcc919005a5f6e80e19de98968be3cd2c770a9949bfb1a",
+ "wy" : "00c75e6e5087d6550d5f9beb1e79e5029307bc255235e2d5dc99241ac3ab886c49"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046efa092b68de9460f0bcc919005a5f6e80e19de98968be3cd2c770a9949bfb1ac75e6e5087d6550d5f9beb1e79e5029307bc255235e2d5dc99241ac3ab886c49",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbvoJK2jelGDwvMkZAFpfboDhnemJaL48\n0sdwqZSb+xrHXm5Qh9ZVDV+b6x555QKTB7wlUjXi1dyZJBrDq4hsSQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 395,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022015d94a85077b493f91cb7101ec63e1b01be58b594e855f45050a8c14062d689b",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0472d4a19c4f9d2cf5848ea40445b70d4696b5f02d632c0c654cc7d7eeb0c6d058e8c4cd9943e459174c7ac01fa742198e47e6c19a6bdb0c4f6c237831c1b3f942",
+ "wx" : "72d4a19c4f9d2cf5848ea40445b70d4696b5f02d632c0c654cc7d7eeb0c6d058",
+ "wy" : "00e8c4cd9943e459174c7ac01fa742198e47e6c19a6bdb0c4f6c237831c1b3f942"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000472d4a19c4f9d2cf5848ea40445b70d4696b5f02d632c0c654cc7d7eeb0c6d058e8c4cd9943e459174c7ac01fa742198e47e6c19a6bdb0c4f6c237831c1b3f942",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEctShnE+dLPWEjqQERbcNRpa18C1jLAxl\nTMfX7rDG0FjoxM2ZQ+RZF0x6wB+nQhmOR+bBmmvbDE9sI3gxwbP5Qg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 396,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02205b1d27a7694c146244a5ad0bd0636d9d9ef3b9fb58385418d9c982105077d1b7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042a8ea2f50dcced0c217575bdfa7cd47d1c6f100041ec0e35512794c1be7e740258f8c17122ed303fda7143eb58bede70295b653266013b0b0ebd3f053137f6ec",
+ "wx" : "2a8ea2f50dcced0c217575bdfa7cd47d1c6f100041ec0e35512794c1be7e7402",
+ "wy" : "58f8c17122ed303fda7143eb58bede70295b653266013b0b0ebd3f053137f6ec"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042a8ea2f50dcced0c217575bdfa7cd47d1c6f100041ec0e35512794c1be7e740258f8c17122ed303fda7143eb58bede70295b653266013b0b0ebd3f053137f6ec",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEKo6i9Q3M7QwhdXW9+nzUfRxvEABB7A41\nUSeUwb5+dAJY+MFxIu0wP9pxQ+tYvt5wKVtlMmYBOwsOvT8FMTf27A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 397,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202d85896b3eb9dbb5a52f42f9c9261ed3fc46644ec65f06ade3fd78f257e43432",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0488de689ce9af1e94be6a2089c8a8b1253ffdbb6c8e9c86249ba220001a4ad3b80c4998e54842f413b9edb1825acbb6335e81e4d184b2b01c8bebdc85d1f28946",
+ "wx" : "0088de689ce9af1e94be6a2089c8a8b1253ffdbb6c8e9c86249ba220001a4ad3b8",
+ "wy" : "0c4998e54842f413b9edb1825acbb6335e81e4d184b2b01c8bebdc85d1f28946"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000488de689ce9af1e94be6a2089c8a8b1253ffdbb6c8e9c86249ba220001a4ad3b80c4998e54842f413b9edb1825acbb6335e81e4d184b2b01c8bebdc85d1f28946",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEiN5onOmvHpS+aiCJyKixJT/9u2yOnIYk\nm6IgABpK07gMSZjlSEL0E7ntsYJay7YzXoHk0YSysByL69yF0fKJRg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 398,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02205b0b12d67d73b76b4a5e85f3924c3da7f88cc89d8cbe0d5bc7faf1e4afc86864",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04fea2d31f70f90d5fb3e00e186ac42ab3c1615cee714e0b4e1131b3d4d8225bf7b037a18df2ac15343f30f74067ddf29e817d5f77f8dce05714da59c094f0cda9",
+ "wx" : "00fea2d31f70f90d5fb3e00e186ac42ab3c1615cee714e0b4e1131b3d4d8225bf7",
+ "wy" : "00b037a18df2ac15343f30f74067ddf29e817d5f77f8dce05714da59c094f0cda9"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004fea2d31f70f90d5fb3e00e186ac42ab3c1615cee714e0b4e1131b3d4d8225bf7b037a18df2ac15343f30f74067ddf29e817d5f77f8dce05714da59c094f0cda9",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE/qLTH3D5DV+z4A4YasQqs8FhXO5xTgtO\nETGz1NgiW/ewN6GN8qwVND8w90Bn3fKegX1fd/jc4FcU2lnAlPDNqQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 399,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0220694c146244a5ad0bd0636d9e12bc9e09e60e68b90d0b5e6c5dddd0cb694d8799",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "047258911e3d423349166479dbe0b8341af7fbd03d0a7e10edccb36b6ceea5a3db17ac2b8992791128fa3b96dc2fbd4ca3bfa782ef2832fc6656943db18e7346b0",
+ "wx" : "7258911e3d423349166479dbe0b8341af7fbd03d0a7e10edccb36b6ceea5a3db",
+ "wy" : "17ac2b8992791128fa3b96dc2fbd4ca3bfa782ef2832fc6656943db18e7346b0"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200047258911e3d423349166479dbe0b8341af7fbd03d0a7e10edccb36b6ceea5a3db17ac2b8992791128fa3b96dc2fbd4ca3bfa782ef2832fc6656943db18e7346b0",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEcliRHj1CM0kWZHnb4Lg0Gvf70D0KfhDt\nzLNrbO6lo9sXrCuJknkRKPo7ltwvvUyjv6eC7ygy/GZWlD2xjnNGsA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 400,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02203d7f487c07bfc5f30846938a3dcef696444707cf9677254a92b06c63ab867d22",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "044f28461dea64474d6bb34d1499c97d37b9e95633df1ceeeaacd45016c98b3914c8818810b8cc06ddb40e8a1261c528faa589455d5a6df93b77bc5e0e493c7470",
+ "wx" : "4f28461dea64474d6bb34d1499c97d37b9e95633df1ceeeaacd45016c98b3914",
+ "wy" : "00c8818810b8cc06ddb40e8a1261c528faa589455d5a6df93b77bc5e0e493c7470"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200044f28461dea64474d6bb34d1499c97d37b9e95633df1ceeeaacd45016c98b3914c8818810b8cc06ddb40e8a1261c528faa589455d5a6df93b77bc5e0e493c7470",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAETyhGHepkR01rs00Umcl9N7npVjPfHO7q\nrNRQFsmLORTIgYgQuMwG3bQOihJhxSj6pYlFXVpt+Tt3vF4OSTx0cA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 401,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02206c7648fc0fbf8a06adb8b839f97b4ff7a800f11b1e37c593b261394599792ba4",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0474f2a814fb5d8eca91a69b5e60712732b3937de32829be974ed7b68c5c2f5d66eff0f07c56f987a657f42196205f588c0f1d96fd8a63a5f238b48f478788fe3b",
+ "wx" : "74f2a814fb5d8eca91a69b5e60712732b3937de32829be974ed7b68c5c2f5d66",
+ "wy" : "00eff0f07c56f987a657f42196205f588c0f1d96fd8a63a5f238b48f478788fe3b"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000474f2a814fb5d8eca91a69b5e60712732b3937de32829be974ed7b68c5c2f5d66eff0f07c56f987a657f42196205f588c0f1d96fd8a63a5f238b48f478788fe3b",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEdPKoFPtdjsqRppteYHEnMrOTfeMoKb6X\nTte2jFwvXWbv8PB8VvmHplf0IZYgX1iMDx2W/YpjpfI4tI9Hh4j+Ow==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 402,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0220641c9c5d790dc09cdd3dfabb62cdf453e69747a7e3d7aa1a714189ef53171a99",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04195b51a7cc4a21b8274a70a90de779814c3c8ca358328208c09a29f336b82d6ab2416b7c92fffdc29c3b1282dd2a77a4d04df7f7452047393d849989c5cee9ad",
+ "wx" : "195b51a7cc4a21b8274a70a90de779814c3c8ca358328208c09a29f336b82d6a",
+ "wy" : "00b2416b7c92fffdc29c3b1282dd2a77a4d04df7f7452047393d849989c5cee9ad"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004195b51a7cc4a21b8274a70a90de779814c3c8ca358328208c09a29f336b82d6ab2416b7c92fffdc29c3b1282dd2a77a4d04df7f7452047393d849989c5cee9ad",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEGVtRp8xKIbgnSnCpDed5gUw8jKNYMoII\nwJop8za4LWqyQWt8kv/9wpw7EoLdKnek0E3390UgRzk9hJmJxc7prQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 403,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022029798c5c45bdf58b4a7b2fdc2c46ab4af1218c7eeb9f0f27a88f1267674de3b0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04622fc74732034bec2ddf3bc16d34b3d1f7a327dd2a8c19bab4bb4fe3a24b58aa736b2f2fae76f4dfaecc9096333b01328d51eb3fda9c9227e90d0b449983c4f0",
+ "wx" : "622fc74732034bec2ddf3bc16d34b3d1f7a327dd2a8c19bab4bb4fe3a24b58aa",
+ "wy" : "736b2f2fae76f4dfaecc9096333b01328d51eb3fda9c9227e90d0b449983c4f0"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004622fc74732034bec2ddf3bc16d34b3d1f7a327dd2a8c19bab4bb4fe3a24b58aa736b2f2fae76f4dfaecc9096333b01328d51eb3fda9c9227e90d0b449983c4f0",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEYi/HRzIDS+wt3zvBbTSz0fejJ90qjBm6\ntLtP46JLWKpzay8vrnb0367MkJYzOwEyjVHrP9qckifpDQtEmYPE8A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 404,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02200b70f22ca2bb3cefadca1a5711fa3a59f4695385eb5aedf3495d0b6d00f8fd85",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041f7f85caf2d7550e7af9b65023ebb4dce3450311692309db269969b834b611c70827f45b78020ecbbaf484fdd5bfaae6870f1184c21581baf6ef82bd7b530f93",
+ "wx" : "1f7f85caf2d7550e7af9b65023ebb4dce3450311692309db269969b834b611c7",
+ "wy" : "0827f45b78020ecbbaf484fdd5bfaae6870f1184c21581baf6ef82bd7b530f93"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200041f7f85caf2d7550e7af9b65023ebb4dce3450311692309db269969b834b611c70827f45b78020ecbbaf484fdd5bfaae6870f1184c21581baf6ef82bd7b530f93",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEH3+FyvLXVQ56+bZQI+u03ONFAxFpIwnb\nJplpuDS2EccIJ/RbeAIOy7r0hP3Vv6rmhw8RhMIVgbr274K9e1MPkw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 405,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022016e1e459457679df5b9434ae23f474b3e8d2a70bd6b5dbe692ba16da01f1fb0a",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0449c197dc80ad1da47a4342b93893e8e1fb0bb94fc33a83e783c00b24c781377aefc20da92bac762951f72474becc734d4cc22ba81b895e282fdac4df7af0f37d",
+ "wx" : "49c197dc80ad1da47a4342b93893e8e1fb0bb94fc33a83e783c00b24c781377a",
+ "wy" : "00efc20da92bac762951f72474becc734d4cc22ba81b895e282fdac4df7af0f37d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000449c197dc80ad1da47a4342b93893e8e1fb0bb94fc33a83e783c00b24c781377aefc20da92bac762951f72474becc734d4cc22ba81b895e282fdac4df7af0f37d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEScGX3ICtHaR6Q0K5OJPo4fsLuU/DOoPn\ng8ALJMeBN3rvwg2pK6x2KVH3JHS+zHNNTMIrqBuJXigv2sTfevDzfQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 406,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202252d685e831b6cf095e4f0535eeaf0ddd3bfa91c210c9d9dc17224702eaf88f",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d8cb68517b616a56400aa3868635e54b6f699598a2f6167757654980baf6acbe7ec8cf449c849aa03461a30efada41453c57c6e6fbc93bbc6fa49ada6dc0555c",
+ "wx" : "00d8cb68517b616a56400aa3868635e54b6f699598a2f6167757654980baf6acbe",
+ "wy" : "7ec8cf449c849aa03461a30efada41453c57c6e6fbc93bbc6fa49ada6dc0555c"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d8cb68517b616a56400aa3868635e54b6f699598a2f6167757654980baf6acbe7ec8cf449c849aa03461a30efada41453c57c6e6fbc93bbc6fa49ada6dc0555c",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE2MtoUXthalZACqOGhjXlS29plZii9hZ3\nV2VJgLr2rL5+yM9EnISaoDRhow762kFFPFfG5vvJO7xvpJrabcBVXA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 407,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022075135abd7c425b60371a477f09ce0f274f64a8c6b061a07b5d63e93c65046c53",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04030713fb63f2aa6fe2cadf1b20efc259c77445dafa87dac398b84065ca347df3b227818de1a39b589cb071d83e5317cccdc2338e51e312fe31d8dc34a4801750",
+ "wx" : "030713fb63f2aa6fe2cadf1b20efc259c77445dafa87dac398b84065ca347df3",
+ "wy" : "00b227818de1a39b589cb071d83e5317cccdc2338e51e312fe31d8dc34a4801750"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004030713fb63f2aa6fe2cadf1b20efc259c77445dafa87dac398b84065ca347df3b227818de1a39b589cb071d83e5317cccdc2338e51e312fe31d8dc34a4801750",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEAwcT+2Pyqm/iyt8bIO/CWcd0Rdr6h9rD\nmLhAZco0ffOyJ4GN4aObWJywcdg+UxfMzcIzjlHjEv4x2Nw0pIAXUA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 408,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3e3a49a23a6d8abe95461f8445676b17",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04babb3677b0955802d8e929a41355640eaf1ea1353f8a771331c4946e3480afa7252f196c87ed3d2a59d3b1b559137fed0013fecefc19fb5a92682b9bca51b950",
+ "wx" : "00babb3677b0955802d8e929a41355640eaf1ea1353f8a771331c4946e3480afa7",
+ "wy" : "252f196c87ed3d2a59d3b1b559137fed0013fecefc19fb5a92682b9bca51b950"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004babb3677b0955802d8e929a41355640eaf1ea1353f8a771331c4946e3480afa7252f196c87ed3d2a59d3b1b559137fed0013fecefc19fb5a92682b9bca51b950",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEurs2d7CVWALY6SmkE1VkDq8eoTU/incT\nMcSUbjSAr6clLxlsh+09KlnTsbVZE3/tABP+zvwZ+1qSaCubylG5UA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 409,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02203e888377ac6c71ac9dec3fdb9b56c9feaf0cfaca9f827fc5eb65fc3eac811210",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041aab2018793471111a8a0e9b143fde02fc95920796d3a63de329b424396fba60bbe4130705174792441b318d3aa31dfe8577821e9b446ec573d272e036c4ebe9",
+ "wx" : "1aab2018793471111a8a0e9b143fde02fc95920796d3a63de329b424396fba60",
+ "wy" : "00bbe4130705174792441b318d3aa31dfe8577821e9b446ec573d272e036c4ebe9"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200041aab2018793471111a8a0e9b143fde02fc95920796d3a63de329b424396fba60bbe4130705174792441b318d3aa31dfe8577821e9b446ec573d272e036c4ebe9",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEGqsgGHk0cREaig6bFD/eAvyVkgeW06Y9\n4ym0JDlvumC75BMHBRdHkkQbMY06ox3+hXeCHptEbsVz0nLgNsTr6Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 410,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022030bbb794db588363b40679f6c182a50d3ce9679acdd3ffbe36d7813dacbdc818",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048cb0b909499c83ea806cd885b1dd467a0119f06a88a0276eb0cfda274535a8ff47b5428833bc3f2c8bf9d9041158cf33718a69961cd01729bc0011d1e586ab75",
+ "wx" : "008cb0b909499c83ea806cd885b1dd467a0119f06a88a0276eb0cfda274535a8ff",
+ "wy" : "47b5428833bc3f2c8bf9d9041158cf33718a69961cd01729bc0011d1e586ab75"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048cb0b909499c83ea806cd885b1dd467a0119f06a88a0276eb0cfda274535a8ff47b5428833bc3f2c8bf9d9041158cf33718a69961cd01729bc0011d1e586ab75",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEjLC5CUmcg+qAbNiFsd1GegEZ8GqIoCdu\nsM/aJ0U1qP9HtUKIM7w/LIv52QQRWM8zcYpplhzQFym8ABHR5YardQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 411,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202c37fd995622c4fb7fffffffffffffffc7cee745110cb45ab558ed7c90c15a2f",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048f03cf1a42272bb1532723093f72e6feeac85e1700e9fbe9a6a2dd642d74bf5d3b89a7189dad8cf75fc22f6f158aa27f9c2ca00daca785be3358f2bda3862ca0",
+ "wx" : "008f03cf1a42272bb1532723093f72e6feeac85e1700e9fbe9a6a2dd642d74bf5d",
+ "wy" : "3b89a7189dad8cf75fc22f6f158aa27f9c2ca00daca785be3358f2bda3862ca0"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048f03cf1a42272bb1532723093f72e6feeac85e1700e9fbe9a6a2dd642d74bf5d3b89a7189dad8cf75fc22f6f158aa27f9c2ca00daca785be3358f2bda3862ca0",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEjwPPGkInK7FTJyMJP3Lm/urIXhcA6fvp\npqLdZC10v107iacYna2M91/CL28ViqJ/nCygDaynhb4zWPK9o4YsoA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 412,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02207fd995622c4fb7ffffffffffffffffff5d883ffab5b32652ccdcaa290fccb97d",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0444de3b9c7a57a8c9e820952753421e7d987bb3d79f71f013805c897e018f8acea2460758c8f98d3fdce121a943659e372c326fff2e5fc2ae7fa3f79daae13c12",
+ "wx" : "44de3b9c7a57a8c9e820952753421e7d987bb3d79f71f013805c897e018f8ace",
+ "wy" : "00a2460758c8f98d3fdce121a943659e372c326fff2e5fc2ae7fa3f79daae13c12"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000444de3b9c7a57a8c9e820952753421e7d987bb3d79f71f013805c897e018f8acea2460758c8f98d3fdce121a943659e372c326fff2e5fc2ae7fa3f79daae13c12",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERN47nHpXqMnoIJUnU0IefZh7s9efcfAT\ngFyJfgGPis6iRgdYyPmNP9zhIalDZZ43LDJv/y5fwq5/o/edquE8Eg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 413,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304302207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc021f4cd53ba7608fffffffffffffffffffff9e5cf143e2539626190a3ab09cce47",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046fb8b2b48e33031268ad6a517484dc8839ea90f6669ea0c7ac3233e2ac31394a0ac8bbe7f73c2ff4df9978727ac1dfc2fd58647d20f31f99105316b64671f204",
+ "wx" : "6fb8b2b48e33031268ad6a517484dc8839ea90f6669ea0c7ac3233e2ac31394a",
+ "wy" : "0ac8bbe7f73c2ff4df9978727ac1dfc2fd58647d20f31f99105316b64671f204"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046fb8b2b48e33031268ad6a517484dc8839ea90f6669ea0c7ac3233e2ac31394a0ac8bbe7f73c2ff4df9978727ac1dfc2fd58647d20f31f99105316b64671f204",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEb7iytI4zAxJorWpRdITciDnqkPZmnqDH\nrDIz4qwxOUoKyLvn9zwv9N+ZeHJ6wd/C/VhkfSDzH5kQUxa2RnHyBA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 414,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02205622c4fb7fffffffffffffffffffffff928a8f1c7ac7bec1808b9f61c01ec327",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04bea71122a048693e905ff602b3cf9dd18af69b9fc9d8431d2b1dd26b942c95e6f43c7b8b95eb62082c12db9dbda7fe38e45cbe4a4886907fb81bdb0c5ea9246c",
+ "wx" : "00bea71122a048693e905ff602b3cf9dd18af69b9fc9d8431d2b1dd26b942c95e6",
+ "wy" : "00f43c7b8b95eb62082c12db9dbda7fe38e45cbe4a4886907fb81bdb0c5ea9246c"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004bea71122a048693e905ff602b3cf9dd18af69b9fc9d8431d2b1dd26b942c95e6f43c7b8b95eb62082c12db9dbda7fe38e45cbe4a4886907fb81bdb0c5ea9246c",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEvqcRIqBIaT6QX/YCs8+d0Yr2m5/J2EMd\nKx3Sa5Qsleb0PHuLletiCCwS2529p/445Fy+SkiGkH+4G9sMXqkkbA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 415,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022044104104104104104104104104104103b87853fd3b7d3f8e175125b4382f25ed",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04da918c731ba06a20cb94ef33b778e981a404a305f1941fe33666b45b03353156e2bb2694f575b45183be78e5c9b5210bf3bf488fd4c8294516d89572ca4f5391",
+ "wx" : "00da918c731ba06a20cb94ef33b778e981a404a305f1941fe33666b45b03353156",
+ "wy" : "00e2bb2694f575b45183be78e5c9b5210bf3bf488fd4c8294516d89572ca4f5391"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004da918c731ba06a20cb94ef33b778e981a404a305f1941fe33666b45b03353156e2bb2694f575b45183be78e5c9b5210bf3bf488fd4c8294516d89572ca4f5391",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE2pGMcxugaiDLlO8zt3jpgaQEowXxlB/j\nNma0WwM1MVbiuyaU9XW0UYO+eOXJtSEL879Ij9TIKUUW2JVyyk9TkQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 416,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202739ce739ce739ce739ce739ce739ce705560298d1f2f08dc419ac273a5b54d9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "043007e92c3937dade7964dfa35b0eff031f7eb02aed0a0314411106cdeb70fe3d5a7546fc0552997b20e3d6f413e75e2cb66e116322697114b79bac734bfc4dc5",
+ "wx" : "3007e92c3937dade7964dfa35b0eff031f7eb02aed0a0314411106cdeb70fe3d",
+ "wy" : "5a7546fc0552997b20e3d6f413e75e2cb66e116322697114b79bac734bfc4dc5"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200043007e92c3937dade7964dfa35b0eff031f7eb02aed0a0314411106cdeb70fe3d5a7546fc0552997b20e3d6f413e75e2cb66e116322697114b79bac734bfc4dc5",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEMAfpLDk32t55ZN+jWw7/Ax9+sCrtCgMU\nQREGzetw/j1adUb8BVKZeyDj1vQT514stm4RYyJpcRS3m6xzS/xNxQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 417,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02204888888888888888888888888888888831c83ae82ebe0898776b4c69d11f88de",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0460e734ef5624d3cbf0ddd375011bd663d6d6aebc644eb599fdf98dbdcd18ce9bd2d90b3ac31f139af832cccf6ccbbb2c6ea11fa97370dc9906da474d7d8a7567",
+ "wx" : "60e734ef5624d3cbf0ddd375011bd663d6d6aebc644eb599fdf98dbdcd18ce9b",
+ "wy" : "00d2d90b3ac31f139af832cccf6ccbbb2c6ea11fa97370dc9906da474d7d8a7567"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000460e734ef5624d3cbf0ddd375011bd663d6d6aebc644eb599fdf98dbdcd18ce9bd2d90b3ac31f139af832cccf6ccbbb2c6ea11fa97370dc9906da474d7d8a7567",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEYOc071Yk08vw3dN1ARvWY9bWrrxkTrWZ\n/fmNvc0YzpvS2Qs6wx8TmvgyzM9sy7ssbqEfqXNw3JkG2kdNfYp1Zw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 418,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02206492492492492492492492492492492406dd3a19b8d5fb875235963c593bd2d3",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0485a900e97858f693c0b7dfa261e380dad6ea046d1f65ddeeedd5f7d8af0ba33769744d15add4f6c0bc3b0da2aec93b34cb8c65f9340ddf74e7b0009eeeccce3c",
+ "wx" : "0085a900e97858f693c0b7dfa261e380dad6ea046d1f65ddeeedd5f7d8af0ba337",
+ "wy" : "69744d15add4f6c0bc3b0da2aec93b34cb8c65f9340ddf74e7b0009eeeccce3c"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000485a900e97858f693c0b7dfa261e380dad6ea046d1f65ddeeedd5f7d8af0ba33769744d15add4f6c0bc3b0da2aec93b34cb8c65f9340ddf74e7b0009eeeccce3c",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEhakA6XhY9pPAt9+iYeOA2tbqBG0fZd3u\n7dX32K8LozdpdE0VrdT2wLw7DaKuyTs0y4xl+TQN33TnsACe7szOPA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 419,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02206aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3e3a49a23a6d8abe95461f8445676b15",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0438066f75d88efc4c93de36f49e037b234cc18b1de5608750a62cab0345401046a3e84bed8cfcb819ef4d550444f2ce4b651766b69e2e2901f88836ff90034fed",
+ "wx" : "38066f75d88efc4c93de36f49e037b234cc18b1de5608750a62cab0345401046",
+ "wy" : "00a3e84bed8cfcb819ef4d550444f2ce4b651766b69e2e2901f88836ff90034fed"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000438066f75d88efc4c93de36f49e037b234cc18b1de5608750a62cab0345401046a3e84bed8cfcb819ef4d550444f2ce4b651766b69e2e2901f88836ff90034fed",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEOAZvddiO/EyT3jb0ngN7I0zBix3lYIdQ\npiyrA0VAEEaj6EvtjPy4Ge9NVQRE8s5LZRdmtp4uKQH4iDb/kANP7Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 420,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3e3a49a23a6d8abe95461f8445676b17",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0498f68177dc95c1b4cbfa5245488ca523a7d5629470d035d621a443c72f39aabfa33d29546fa1c648f2c7d5ccf70cf1ce4ab79b5db1ac059dbecd068dbdff1b89",
+ "wx" : "0098f68177dc95c1b4cbfa5245488ca523a7d5629470d035d621a443c72f39aabf",
+ "wy" : "00a33d29546fa1c648f2c7d5ccf70cf1ce4ab79b5db1ac059dbecd068dbdff1b89"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000498f68177dc95c1b4cbfa5245488ca523a7d5629470d035d621a443c72f39aabfa33d29546fa1c648f2c7d5ccf70cf1ce4ab79b5db1ac059dbecd068dbdff1b89",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEmPaBd9yVwbTL+lJFSIylI6fVYpRw0DXW\nIaRDxy85qr+jPSlUb6HGSPLH1cz3DPHOSrebXbGsBZ2+zQaNvf8biQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 421,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02203ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "045c2bbfa23c9b9ad07f038aa89b4930bf267d9401e4255de9e8da0a5078ec8277e3e882a31d5e6a379e0793983ccded39b95c4353ab2ff01ea5369ba47b0c3191",
+ "wx" : "5c2bbfa23c9b9ad07f038aa89b4930bf267d9401e4255de9e8da0a5078ec8277",
+ "wy" : "00e3e882a31d5e6a379e0793983ccded39b95c4353ab2ff01ea5369ba47b0c3191"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200045c2bbfa23c9b9ad07f038aa89b4930bf267d9401e4255de9e8da0a5078ec8277e3e882a31d5e6a379e0793983ccded39b95c4353ab2ff01ea5369ba47b0c3191",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEXCu/ojybmtB/A4qom0kwvyZ9lAHkJV3p\n6NoKUHjsgnfj6IKjHV5qN54Hk5g8ze05uVxDU6sv8B6lNpukewwxkQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 422,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0220185ddbca6dac41b1da033cfb60c152869e74b3cd66e9ffdf1b6bc09ed65ee40c",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a3853547808298448edb5e701ade84cd5fb1ac9567ba5e8fb68a6b933ec4b5cc84cc",
+ "wx" : "2ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385",
+ "wy" : "3547808298448edb5e701ade84cd5fb1ac9567ba5e8fb68a6b933ec4b5cc84cc"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a3853547808298448edb5e701ade84cd5fb1ac9567ba5e8fb68a6b933ec4b5cc84cc",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAELqcTNDIznGnSf5smcoG9Ld1fGdYzjUAK\nBc02R7FXo4U1R4CCmESO215wGt6EzV+xrJVnul6Ptoprkz7EtcyEzA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 423,
+ "comment" : "point duplication during verification",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022032b0d10d8d0e04bc8d4d064d270699e87cffc9b49c5c20730e1c26f6105ddcda022029ed3d67b3d505be95580d77d5b792b436881179b2b6b2e04c5fe592d38d82d9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385cab87f7d67bb7124a18fe5217b32a04e536a9845a1704975946cc13a4a337763",
+ "wx" : "2ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385",
+ "wy" : "00cab87f7d67bb7124a18fe5217b32a04e536a9845a1704975946cc13a4a337763"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385cab87f7d67bb7124a18fe5217b32a04e536a9845a1704975946cc13a4a337763",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAELqcTNDIznGnSf5smcoG9Ld1fGdYzjUAK\nBc02R7FXo4XKuH99Z7txJKGP5SF7MqBOU2qYRaFwSXWUbME6SjN3Yw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 424,
+ "comment" : "duplication bug",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022032b0d10d8d0e04bc8d4d064d270699e87cffc9b49c5c20730e1c26f6105ddcda022029ed3d67b3d505be95580d77d5b792b436881179b2b6b2e04c5fe592d38d82d9",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048aa2c64fa9c6437563abfbcbd00b2048d48c18c152a2a6f49036de7647ebe82e1ce64387995c68a060fa3bc0399b05cc06eec7d598f75041a4917e692b7f51ff",
+ "wx" : "008aa2c64fa9c6437563abfbcbd00b2048d48c18c152a2a6f49036de7647ebe82e",
+ "wy" : "1ce64387995c68a060fa3bc0399b05cc06eec7d598f75041a4917e692b7f51ff"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048aa2c64fa9c6437563abfbcbd00b2048d48c18c152a2a6f49036de7647ebe82e1ce64387995c68a060fa3bc0399b05cc06eec7d598f75041a4917e692b7f51ff",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEiqLGT6nGQ3Vjq/vL0AsgSNSMGMFSoqb0\nkDbedkfr6C4c5kOHmVxooGD6O8A5mwXMBu7H1Zj3UEGkkX5pK39R/w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 425,
+ "comment" : "comparison with point at infinity ",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0022033333333333333333333333333333332f222f8faefdb533f265d461c29a47373",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71fdd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd",
+ "wx" : "391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71f",
+ "wy" : "00dd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71fdd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEORQn/37ngBPBSux9lqigYiCSmKeDg16U\n/WVJ1QL/9x/dZiTsNDrZ/PTZhyGB5Z+EL5ukzMrgmmwJcvtqxrTGvQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 426,
+ "comment" : "extreme value for k and edgecase s",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04e762b8a219b4f180219cc7a9059245e4961bd191c03899789c7a34b89e8c138ec1533ef0419bb7376e0bfde9319d10a06968791d9ea0eed9c1ce6345aed9759e",
+ "wx" : "00e762b8a219b4f180219cc7a9059245e4961bd191c03899789c7a34b89e8c138e",
+ "wy" : "00c1533ef0419bb7376e0bfde9319d10a06968791d9ea0eed9c1ce6345aed9759e"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004e762b8a219b4f180219cc7a9059245e4961bd191c03899789c7a34b89e8c138ec1533ef0419bb7376e0bfde9319d10a06968791d9ea0eed9c1ce6345aed9759e",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE52K4ohm08YAhnMepBZJF5JYb0ZHAOJl4\nnHo0uJ6ME47BUz7wQZu3N24L/ekxnRCgaWh5HZ6g7tnBzmNFrtl1ng==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 427,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "049aedb0d281db164e130000c5697fae0f305ef848be6fffb43ac593fbb950e952fa6f633359bdcd82b56b0b9f965b037789d46b9a8141b791b2aefa713f96c175",
+ "wx" : "009aedb0d281db164e130000c5697fae0f305ef848be6fffb43ac593fbb950e952",
+ "wy" : "00fa6f633359bdcd82b56b0b9f965b037789d46b9a8141b791b2aefa713f96c175"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200049aedb0d281db164e130000c5697fae0f305ef848be6fffb43ac593fbb950e952fa6f633359bdcd82b56b0b9f965b037789d46b9a8141b791b2aefa713f96c175",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEmu2w0oHbFk4TAADFaX+uDzBe+Ei+b/+0\nOsWT+7lQ6VL6b2MzWb3NgrVrC5+WWwN3idRrmoFBt5GyrvpxP5bBdQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 428,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022066666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048ad445db62816260e4e687fd1884e48b9fc0636d031547d63315e792e19bfaee1de64f99d5f1cd8b6ec9cb0f787a654ae86993ba3db1008ef43cff0684cb22bd",
+ "wx" : "008ad445db62816260e4e687fd1884e48b9fc0636d031547d63315e792e19bfaee",
+ "wy" : "1de64f99d5f1cd8b6ec9cb0f787a654ae86993ba3db1008ef43cff0684cb22bd"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048ad445db62816260e4e687fd1884e48b9fc0636d031547d63315e792e19bfaee1de64f99d5f1cd8b6ec9cb0f787a654ae86993ba3db1008ef43cff0684cb22bd",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEitRF22KBYmDk5of9GITki5/AY20DFUfW\nMxXnkuGb+u4d5k+Z1fHNi27Jyw94emVK6GmTuj2xAI70PP8GhMsivQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 429,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022066666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041f5799c95be89063b24f26e40cb928c1a868a76fb0094607e8043db409c91c32e75724e813a4191e3a839007f08e2e897388b06d4a00de6de60e536d91fab566",
+ "wx" : "1f5799c95be89063b24f26e40cb928c1a868a76fb0094607e8043db409c91c32",
+ "wy" : "00e75724e813a4191e3a839007f08e2e897388b06d4a00de6de60e536d91fab566"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200041f5799c95be89063b24f26e40cb928c1a868a76fb0094607e8043db409c91c32e75724e813a4191e3a839007f08e2e897388b06d4a00de6de60e536d91fab566",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEH1eZyVvokGOyTybkDLkowahop2+wCUYH\n6AQ9tAnJHDLnVyToE6QZHjqDkAfwji6Jc4iwbUoA3m3mDlNtkfq1Zg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 430,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04a3331a4e1b4223ec2c027edd482c928a14ed358d93f1d4217d39abf69fcb5ccc28d684d2aaabcd6383775caa6239de26d4c6937bb603ecb4196082f4cffd509d",
+ "wx" : "00a3331a4e1b4223ec2c027edd482c928a14ed358d93f1d4217d39abf69fcb5ccc",
+ "wy" : "28d684d2aaabcd6383775caa6239de26d4c6937bb603ecb4196082f4cffd509d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004a3331a4e1b4223ec2c027edd482c928a14ed358d93f1d4217d39abf69fcb5ccc28d684d2aaabcd6383775caa6239de26d4c6937bb603ecb4196082f4cffd509d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEozMaThtCI+wsAn7dSCySihTtNY2T8dQh\nfTmr9p/LXMwo1oTSqqvNY4N3XKpiOd4m1MaTe7YD7LQZYIL0z/1QnQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 431,
+ "comment" : "extreme value for k",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee502200eb10e5ab95f2f275348d82ad2e4d7949c8193800d8c9c75df58e343f0ebba7b",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "043f3952199774c7cf39b38b66cb1042a6260d8680803845e4d433adba3bb248185ea495b68cbc7ed4173ee63c9042dc502625c7eb7e21fb02ca9a9114e0a3a18d",
+ "wx" : "3f3952199774c7cf39b38b66cb1042a6260d8680803845e4d433adba3bb24818",
+ "wy" : "5ea495b68cbc7ed4173ee63c9042dc502625c7eb7e21fb02ca9a9114e0a3a18d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200043f3952199774c7cf39b38b66cb1042a6260d8680803845e4d433adba3bb248185ea495b68cbc7ed4173ee63c9042dc502625c7eb7e21fb02ca9a9114e0a3a18d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEPzlSGZd0x885s4tmyxBCpiYNhoCAOEXk\n1DOtujuySBhepJW2jLx+1Bc+5jyQQtxQJiXH634h+wLKmpEU4KOhjQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 432,
+ "comment" : "extreme value for k and edgecase s",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698",
+ "wx" : "00cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e",
+ "wy" : "054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEzfuMD0IuFE4TfCQSyGwXH1/j+j9bu1RO\nkHYojzzteG4FT9ByG3fBHHm+rLPJQhGwoZvaCGUu/q+SUTo7ChY2mA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 433,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0473598a6a1c68278fa6bfd0ce4064e68235bc1c0f6b20a928108be336730f87e3cbae612519b5032ecc85aed811271a95fe7939d5d3460140ba318f4d14aba31d",
+ "wx" : "73598a6a1c68278fa6bfd0ce4064e68235bc1c0f6b20a928108be336730f87e3",
+ "wy" : "00cbae612519b5032ecc85aed811271a95fe7939d5d3460140ba318f4d14aba31d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000473598a6a1c68278fa6bfd0ce4064e68235bc1c0f6b20a928108be336730f87e3cbae612519b5032ecc85aed811271a95fe7939d5d3460140ba318f4d14aba31d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEc1mKahxoJ4+mv9DOQGTmgjW8HA9rIKko\nEIvjNnMPh+PLrmElGbUDLsyFrtgRJxqV/nk51dNGAUC6MY9NFKujHQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 434,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022066666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0458debd9a7ee2c9d59132478a5440ae4d5d7ed437308369f92ea86c82183f10a16773e76f5edbf4da0e4f1bdffac0f57257e1dfa465842931309a24245fda6a5d",
+ "wx" : "58debd9a7ee2c9d59132478a5440ae4d5d7ed437308369f92ea86c82183f10a1",
+ "wy" : "6773e76f5edbf4da0e4f1bdffac0f57257e1dfa465842931309a24245fda6a5d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000458debd9a7ee2c9d59132478a5440ae4d5d7ed437308369f92ea86c82183f10a16773e76f5edbf4da0e4f1bdffac0f57257e1dfa465842931309a24245fda6a5d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEWN69mn7iydWRMkeKVECuTV1+1Dcwg2n5\nLqhsghg/EKFnc+dvXtv02g5PG9/6wPVyV+HfpGWEKTEwmiQkX9pqXQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 435,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022066666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048b904de47967340c5f8c3572a720924ef7578637feab1949acb241a5a6ac3f5b950904496f9824b1d63f3313bae21b89fae89afdfc811b5ece03fd5aa301864f",
+ "wx" : "008b904de47967340c5f8c3572a720924ef7578637feab1949acb241a5a6ac3f5b",
+ "wy" : "00950904496f9824b1d63f3313bae21b89fae89afdfc811b5ece03fd5aa301864f"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048b904de47967340c5f8c3572a720924ef7578637feab1949acb241a5a6ac3f5b950904496f9824b1d63f3313bae21b89fae89afdfc811b5ece03fd5aa301864f",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEi5BN5HlnNAxfjDVypyCSTvdXhjf+qxlJ\nrLJBpaasP1uVCQRJb5gksdY/MxO64huJ+uia/fyBG17OA/1aowGGTw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 436,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04f4892b6d525c771e035f2a252708f3784e48238604b4f94dc56eaa1e546d941a346b1aa0bce68b1c50e5b52f509fb5522e5c25e028bc8f863402edb7bcad8b1b",
+ "wx" : "00f4892b6d525c771e035f2a252708f3784e48238604b4f94dc56eaa1e546d941a",
+ "wy" : "346b1aa0bce68b1c50e5b52f509fb5522e5c25e028bc8f863402edb7bcad8b1b"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004f4892b6d525c771e035f2a252708f3784e48238604b4f94dc56eaa1e546d941a346b1aa0bce68b1c50e5b52f509fb5522e5c25e028bc8f863402edb7bcad8b1b",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE9IkrbVJcdx4DXyolJwjzeE5II4YEtPlN\nxW6qHlRtlBo0axqgvOaLHFDltS9Qn7VSLlwl4Ci8j4Y0Au23vK2LGw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 437,
+ "comment" : "extreme value for k",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f8179802200eb10e5ab95f2f275348d82ad2e4d7949c8193800d8c9c75df58e343f0ebba7b",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
+ "wx" : "79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798",
+ "wy" : "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeb5mfvncu6xVoGKVzocLBwKb/NstzijZ\nWfKBWxb4F5hIOtp3JqPEZV2k+/wOEQio/Re0SKaFVBmcR9CP+xDUuA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 438,
+ "comment" : "public key shares x-coordinate with generator",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100bb5a52f42f9c9261ed4361f59422a1e30036e7c32b270c8807a419feca60502302202492492492492492492492492492492463cfd66a190a6008891e0d81d49a0952",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 439,
+ "comment" : "public key shares x-coordinate with generator",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022044a5ad0bd0636d9e12bc9e0a6bdd5e1bba77f523842193b3b82e448e05d5f11e02202492492492492492492492492492492463cfd66a190a6008891e0d81d49a0952",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798b7c52588d95c3b9aa25b0403f1eef75702e84bb7597aabe663b82f6f04ef2777",
+ "wx" : "79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798",
+ "wy" : "00b7c52588d95c3b9aa25b0403f1eef75702e84bb7597aabe663b82f6f04ef2777"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798b7c52588d95c3b9aa25b0403f1eef75702e84bb7597aabe663b82f6f04ef2777",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeb5mfvncu6xVoGKVzocLBwKb/NstzijZ\nWfKBWxb4F5i3xSWI2Vw7mqJbBAPx7vdXAuhLt1l6q+ZjuC9vBO8ndw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 440,
+ "comment" : "public key shares x-coordinate with generator",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100bb5a52f42f9c9261ed4361f59422a1e30036e7c32b270c8807a419feca60502302202492492492492492492492492492492463cfd66a190a6008891e0d81d49a0952",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 441,
+ "comment" : "public key shares x-coordinate with generator",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022044a5ad0bd0636d9e12bc9e0a6bdd5e1bba77f523842193b3b82e448e05d5f11e02202492492492492492492492492492492463cfd66a190a6008891e0d81d49a0952",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04782c8ed17e3b2a783b5464f33b09652a71c678e05ec51e84e2bcfc663a3de963af9acb4280b8c7f7c42f4ef9aba6245ec1ec1712fd38a0fa96418d8cd6aa6152",
+ "wx" : "782c8ed17e3b2a783b5464f33b09652a71c678e05ec51e84e2bcfc663a3de963",
+ "wy" : "00af9acb4280b8c7f7c42f4ef9aba6245ec1ec1712fd38a0fa96418d8cd6aa6152"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004782c8ed17e3b2a783b5464f33b09652a71c678e05ec51e84e2bcfc663a3de963af9acb4280b8c7f7c42f4ef9aba6245ec1ec1712fd38a0fa96418d8cd6aa6152",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeCyO0X47Kng7VGTzOwllKnHGeOBexR6E\n4rz8Zjo96WOvmstCgLjH98QvTvmrpiRewewXEv04oPqWQY2M1qphUg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 442,
+ "comment" : "pseudorandom signature",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "",
+ "sig" : "3045022100f80ae4f96cdbc9d853f83d47aae225bf407d51c56b7776cd67d0dc195d99a9dc02204cfc1d941e08cb9aceadde0f4ccead76b30d332fc442115d50e673e28686b70b",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 443,
+ "comment" : "pseudorandom signature",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "4d7367",
+ "sig" : "30440220109cd8ae0374358984a8249c0a843628f2835ffad1df1a9a69aa2fe72355545c02205390ff250ac4274e1cb25cd6ca6491f6b91281e32f5b264d87977aed4a94e77b",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 444,
+ "comment" : "pseudorandom signature",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100d035ee1f17fdb0b2681b163e33c359932659990af77dca632012b30b27a057b302201939d9f3b2858bc13e3474cb50e6a82be44faa71940f876c1cba4c3e989202b6",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 445,
+ "comment" : "pseudorandom signature",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "0000000000000000000000000000000000000000",
+ "sig" : "304402204f053f563ad34b74fd8c9934ce59e79c2eb8e6eca0fef5b323ca67d5ac7ed23802204d4b05daa0719e773d8617dce5631c5fd6f59c9bdc748e4b55c970040af01be5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40caff00000001060492d5a5673e0f25d8d50fb7e58c49d86d46d4216955e0aa3d40e1",
+ "wx" : "6e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40caff",
+ "wy" : "01060492d5a5673e0f25d8d50fb7e58c49d86d46d4216955e0aa3d40e1"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40caff00000001060492d5a5673e0f25d8d50fb7e58c49d86d46d4216955e0aa3d40e1",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEboI1VUUpFAmRgsaywdbwtdKNUMzQBa8s\n4bulQapAyv8AAAABBgSS1aVnPg8l2NUPt+WMSdhtRtQhaVXgqj1A4Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 446,
+ "comment" : "y-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "304402206d6a4f556ccce154e7fb9f19e76c3deca13d59cc2aeb4ecad968aab2ded45965022053b9fa74803ede0fc4441bf683d56c564d3e274e09ccf47390badd1471c05fb7",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 447,
+ "comment" : "y-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022100aad503de9b9fd66b948e9acf596f0a0e65e700b28b26ec56e6e45e846489b3c4021f0ddc3a2f89abb817bb85c062ce02f823c63fc26b269e0bc9b84d81a5aa123d",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 448,
+ "comment" : "y-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "30450221009182cebd3bb8ab572e167174397209ef4b1d439af3b200cdf003620089e43225022054477c982ea019d2e1000497fc25fcee1bccae55f2ac27530ae53b29c4b356a4",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40cafffffffffef9fb6d2a5a98c1f0da272af0481a73b62792b92bde96aa1e55c2bb4e",
+ "wx" : "6e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40caff",
+ "wy" : "00fffffffef9fb6d2a5a98c1f0da272af0481a73b62792b92bde96aa1e55c2bb4e"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40cafffffffffef9fb6d2a5a98c1f0da272af0481a73b62792b92bde96aa1e55c2bb4e",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEboI1VUUpFAmRgsaywdbwtdKNUMzQBa8s\n4bulQapAyv/////++fttKlqYwfDaJyrwSBpztieSuSvelqoeVcK7Tg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 449,
+ "comment" : "y-coordinate of the public key is large",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "304402203854a3998aebdf2dbc28adac4181462ccac7873907ab7f212c42db0e69b56ed802203ed3f6b8a388d02f3e4df9f2ae9c1bd2c3916a686460dffcd42909cd7f82058e",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 450,
+ "comment" : "y-coordinate of the public key is large",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100e94dbdc38795fe5c904d8f16d969d3b587f0a25d2de90b6d8c5c53ff887e360702207a947369c164972521bb8af406813b2d9f94d2aeaa53d4c215aaa0a2578a2c5d",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 451,
+ "comment" : "y-coordinate of the public key is large",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022049fc102a08ca47b60e0858cd0284d22cddd7233f94aaffbb2db1dd2cf08425e102205b16fca5a12cdb39701697ad8e39ffd6bdec0024298afaa2326aea09200b14d6",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04000000013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d",
+ "wx" : "013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0",
+ "wy" : "00f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004000000013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEAAAAAT/SIkjWTZX3PCm0irSGMYUL5QP9\nAPhGi18PcOD27nqkO8LG/SWx2CaSQcvdnbsNrJbcliMfQwcF+DhxfQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 452,
+ "comment" : "x-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022041efa7d3f05a0010675fcb918a45c693da4b348df21a59d6f9cd73e0d831d67a02204454ada693e5e26b7bd693236d340f80545c834577b6f73d378c7bcc534244da",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 453,
+ "comment" : "x-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100b615698c358b35920dd883eca625a6c5f7563970cdfc378f8fe0cee17092144c022025f47b326b5be1fb610b885153ea84d41eb4716be66a994e8779989df1c863d4",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 454,
+ "comment" : "x-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "304502210087cf8c0eb82d44f69c60a2ff5457d3aaa322e7ec61ae5aecfd678ae1c1932b0e02203add3b115815047d6eb340a3e008989eaa0f8708d1794814729094d08d2460d3",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0425afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dfffffffffa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35",
+ "wx" : "25afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dffffffff",
+ "wy" : "00fa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000425afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dfffffffffa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEJa/WiayrrtZ8Hylt5ZQG+MVQ9XFGoLTs\nLJeHbf/////6RqduUgMi37xJHsTwzBl0IPxOpYg9j23VPDVLxPZ8NQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 455,
+ "comment" : "x-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022062f48ef71ace27bf5a01834de1f7e3f948b9dce1ca1e911d5e13d3b104471d8202205ea8f33f0c778972c4582080deda9b341857dd64514f0849a05f6964c2e34022",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 456,
+ "comment" : "x-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100f6b0e2f6fe020cf7c0c20137434344ed7add6c4be51861e2d14cbda472a6ffb402206416c8dd3e5c5282b306e8dc8ff34ab64cc99549232d678d714402eb6ca7aa0f",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 457,
+ "comment" : "x-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100db09d8460f05eff23bc7e436b67da563fa4b4edb58ac24ce201fa8a358125057022046da116754602940c8999c8d665f786c50f5772c0a3cdbda075e77eabc64df16",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff",
+ "wx" : "00d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb9",
+ "wy" : "3f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE0S5sZrZ3NMPITSYBz1013Al+J2N/CspK\nT9t0tqrdO7k/W9/4i9VzbfiY5pkAbtdQ8RzwfFhmzXrXDHEh/////w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 458,
+ "comment" : "y-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "30440220592c41e16517f12fcabd98267674f974b588e9f35d35406c1a7bb2ed1d19b7b802203e65a06bd9f83caaeb7b00f2368d7e0dece6b12221269a9b5b765198f840a3a1",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 459,
+ "comment" : "y-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100be0d70887d5e40821a61b68047de4ea03debfdf51cdf4d4b195558b959a032b202207d994b2d8f1dbbeb13534eb3f6e5dccd85f5c4133c27d9e64271b1826ce1f67d",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 460,
+ "comment" : "y-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100fae92dfcb2ee392d270af3a5739faa26d4f97bfd39ed3cbee4d29e26af3b206a02206c9ba37f9faa6a1fd3f65f23b4e853d4692a7274240a12db7ba3884830630d16",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb",
+ "wx" : "6d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000",
+ "wy" : "00e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbUp/YNR3Sk8KqLve25U8fup5CUB+MWR1\nVmS8KAAAAADmWdNOTfONnoyeqt+6NmEsdpGVvobHeqw/NueLU4aA+w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 461,
+ "comment" : "x-coordinate of the public key has many trailing 0's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "30440220176a2557566ffa518b11226694eb9802ed2098bfe278e5570fe1d5d7af18a94302201291df6a0ed5fc0d15098e70bcf13a009284dfd0689d3bb4be6ceeb9be1487c4",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 462,
+ "comment" : "x-coordinate of the public key has many trailing 0's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022060be20c3dbc162dd34d26780621c104bbe5dace630171b2daef0d826409ee5c20220427f7e4d889d549170bda6a9409fb1cb8b0e763d13eea7bd97f64cf41dc6e497",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 463,
+ "comment" : "x-coordinate of the public key has many trailing 0's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100edf03cf63f658883289a1a593d1007895b9f236d27c9c1f1313089aaed6b16ae02201a4dd6fc0814dc523d1fefa81c64fbf5e618e651e7096fccadbb94cd48e5e0cd",
+ "result" : "valid"
+ }
+ ]
+ }
+ ]
+}
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/tools/check-abi.sh b/go-ethereum/crypto/secp256k1/libsecp256k1/tools/check-abi.sh
new file mode 100755
index 00000000..601a64ba
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/tools/check-abi.sh
@@ -0,0 +1,74 @@
+#!/bin/sh
+
+set -eu
+
+default_base_version="$(git describe --match "v*.*.*" --abbrev=0)"
+default_new_version="HEAD"
+
+display_help_and_exit() {
+ echo "Usage: $0 [ []]"
+ echo ""
+ echo "Description: This script uses the ABI Compliance Checker tool to determine if the ABI"
+ echo " of a new version of libsecp256k1 has changed in a backward-incompatible way."
+ echo ""
+ echo "Options:"
+ echo " base_ver Specify the base version as a git commit-ish"
+ echo " (default: most recent reachable tag matching \"v.*.*\", currently \"$default_base_version\")"
+ echo " new_ver Specify the new version as a git commit-ish"
+ echo " (default: $default_new_version)"
+ echo " -h, --help Display this help message"
+ exit 0
+}
+
+if [ "$#" -eq 0 ]; then
+ base_version="$default_base_version"
+ new_version="$default_new_version"
+elif [ "$#" -eq 1 ] && { [ "$1" = "-h" ] || [ "$1" = "--help" ]; }; then
+ display_help_and_exit
+elif [ "$#" -eq 1 ] || [ "$#" -eq 2 ]; then
+ base_version="$1"
+ if [ "$#" -eq 2 ]; then
+ new_version="$2"
+ fi
+else
+ echo "Invalid usage. See help:"
+ echo ""
+ display_help_and_exit
+fi
+
+checkout_and_build() {
+ _orig_dir="$(pwd)"
+ git worktree add --detach "$1" "$2"
+ cd "$1"
+ mkdir build && cd build
+ cmake -S .. --preset dev-mode \
+ -DCMAKE_C_COMPILER=gcc -DCMAKE_BUILD_TYPE=None -DCMAKE_C_FLAGS="-g -Og -gdwarf-4" \
+ -DSECP256K1_BUILD_BENCHMARK=OFF \
+ -DSECP256K1_BUILD_TESTS=OFF \
+ -DSECP256K1_BUILD_EXHAUSTIVE_TESTS=OFF \
+ -DSECP256K1_BUILD_CTIME_TESTS=OFF \
+ -DSECP256K1_BUILD_EXAMPLES=OFF
+ cmake --build . -j "$(nproc)"
+ # FIXME: Just set LIBPATH to lib/libsecp256k1.so once version 0.6.0 is
+ # released.
+ if [ -f "src/libsecp256k1.so" ]; then
+ LIBPATH="src/libsecp256k1.so"
+ else
+ LIBPATH="lib/libsecp256k1.so"
+ fi
+ abi-dumper $LIBPATH -o ABI.dump -lver "$2" -public-headers ../include/
+ cd "$_orig_dir"
+}
+
+echo "Comparing $base_version (base version) to $new_version (new version)"
+echo
+
+base_source_dir="$(mktemp -d)"
+checkout_and_build "$base_source_dir" "$base_version"
+
+new_source_dir="$(mktemp -d)"
+checkout_and_build "$new_source_dir" "$new_version"
+
+abi-compliance-checker -lib libsecp256k1 -old "${base_source_dir}/build/ABI.dump" -new "${new_source_dir}/build/ABI.dump"
+git worktree remove "$base_source_dir"
+git worktree remove "$new_source_dir"
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/tools/test_vectors_musig2_generate.py b/go-ethereum/crypto/secp256k1/libsecp256k1/tools/test_vectors_musig2_generate.py
new file mode 100755
index 00000000..97424419
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/tools/test_vectors_musig2_generate.py
@@ -0,0 +1,656 @@
+#!/usr/bin/env python3
+
+import sys
+import json
+import textwrap
+
+max_pubkeys = 0
+
+if len(sys.argv) < 2:
+ print(
+ "This script converts BIP MuSig2 test vectors in a given directory to a C file that can be used in the test framework."
+ )
+ print("Usage: %s " % sys.argv[0])
+ sys.exit(1)
+
+
+def hexstr_to_intarray(str):
+ return ", ".join([f"0x{b:02X}" for b in bytes.fromhex(str)])
+
+
+def create_init(name):
+ return """
+static const struct musig_%s_vector musig_%s_vector = {
+""" % (
+ name,
+ name,
+ )
+
+
+def init_array(key):
+ return textwrap.indent("{ %s },\n" % hexstr_to_intarray(data[key]), 4 * " ")
+
+
+def init_arrays(key):
+ s = textwrap.indent("{\n", 4 * " ")
+ s += textwrap.indent(
+ ",\n".join(["{ %s }" % hexstr_to_intarray(x) for x in data[key]]), 8 * " "
+ )
+ s += textwrap.indent("\n},\n", 4 * " ")
+ return s
+
+
+def init_indices(array):
+ return " %d, { %s }" % (
+ len(array),
+ ", ".join(map(str, array) if len(array) > 0 else "0"),
+ )
+
+
+def init_is_xonly(case):
+ if len(case["tweak_indices"]) > 0:
+ return ", ".join(map(lambda x: "1" if x else "0", case["is_xonly"]))
+ return "0"
+
+
+def init_optional_expected(case):
+ return hexstr_to_intarray(case["expected"]) if "expected" in case else 0
+
+
+def init_cases(cases, f):
+ s = textwrap.indent("{\n", 4 * " ")
+ for (i, case) in enumerate(cases):
+ s += textwrap.indent("%s\n" % f(case), 8 * " ")
+ s += textwrap.indent("},\n", 4 * " ")
+ return s
+
+
+def finish_init():
+ return "};\n"
+
+
+s = (
+ """/**
+ * Automatically generated by %s.
+ *
+ * The test vectors for the KeySort function are included in this file. They can
+ * be found in src/modules/extrakeys/tests_impl.h. */
+"""
+ % sys.argv[0]
+)
+
+
+s += """
+enum MUSIG_ERROR {
+ MUSIG_PUBKEY,
+ MUSIG_TWEAK,
+ MUSIG_PUBNONCE,
+ MUSIG_AGGNONCE,
+ MUSIG_SECNONCE,
+ MUSIG_SIG,
+ MUSIG_SIG_VERIFY,
+ MUSIG_OTHER
+};
+"""
+
+# key agg vectors
+with open(sys.argv[1] + "/key_agg_vectors.json", "r") as f:
+ data = json.load(f)
+
+ max_key_indices = max(
+ len(test_case["key_indices"]) for test_case in data["valid_test_cases"]
+ )
+ max_tweak_indices = max(
+ len(test_case["tweak_indices"]) for test_case in data["error_test_cases"]
+ )
+ num_pubkeys = len(data["pubkeys"])
+ max_pubkeys = max(num_pubkeys, max_pubkeys)
+ num_tweaks = len(data["tweaks"])
+ num_valid_cases = len(data["valid_test_cases"])
+ num_error_cases = len(data["error_test_cases"])
+
+ # Add structures for valid and error cases
+ s += (
+ """
+struct musig_key_agg_valid_test_case {
+ size_t key_indices_len;
+ size_t key_indices[%d];
+ unsigned char expected[32];
+};
+"""
+ % max_key_indices
+ )
+ s += """
+struct musig_key_agg_error_test_case {
+ size_t key_indices_len;
+ size_t key_indices[%d];
+ size_t tweak_indices_len;
+ size_t tweak_indices[%d];
+ int is_xonly[%d];
+ enum MUSIG_ERROR error;
+};
+""" % (
+ max_key_indices,
+ max_tweak_indices,
+ max_tweak_indices,
+ )
+
+ # Add structure for entire vector
+ s += """
+struct musig_key_agg_vector {
+ unsigned char pubkeys[%d][33];
+ unsigned char tweaks[%d][32];
+ struct musig_key_agg_valid_test_case valid_case[%d];
+ struct musig_key_agg_error_test_case error_case[%d];
+};
+""" % (
+ num_pubkeys,
+ num_tweaks,
+ num_valid_cases,
+ num_error_cases,
+ )
+
+ s += create_init("key_agg")
+ # Add pubkeys and tweaks to the vector
+ s += init_arrays("pubkeys")
+ s += init_arrays("tweaks")
+
+ # Add valid cases to the vector
+ s += init_cases(
+ data["valid_test_cases"],
+ lambda case: "{ %s, { %s }},"
+ % (init_indices(case["key_indices"]), hexstr_to_intarray(case["expected"])),
+ )
+
+ def comment_to_error(case):
+ comment = case["comment"]
+ if "public key" in comment.lower():
+ return "MUSIG_PUBKEY"
+ elif "tweak" in comment.lower():
+ return "MUSIG_TWEAK"
+ else:
+ sys.exit("Unknown error")
+
+ # Add error cases to the vector
+ s += init_cases(
+ data["error_test_cases"],
+ lambda case: "{ %s, %s, { %s }, %s },"
+ % (
+ init_indices(case["key_indices"]),
+ init_indices(case["tweak_indices"]),
+ init_is_xonly(case),
+ comment_to_error(case),
+ ),
+ )
+
+ s += finish_init()
+
+# nonce gen vectors
+with open(sys.argv[1] + "/nonce_gen_vectors.json", "r") as f:
+ data = json.load(f)
+
+ # The MuSig2 implementation only allows messages of length 32
+ data["test_cases"] = list(
+ filter(lambda c: c["msg"] is None or len(c["msg"]) == 64, data["test_cases"])
+ )
+
+ num_tests = len(data["test_cases"])
+
+ s += """
+struct musig_nonce_gen_test_case {
+ unsigned char rand_[32];
+ int has_sk;
+ unsigned char sk[32];
+ unsigned char pk[33];
+ int has_aggpk;
+ unsigned char aggpk[32];
+ int has_msg;
+ unsigned char msg[32];
+ int has_extra_in;
+ unsigned char extra_in[32];
+ unsigned char expected_secnonce[97];
+ unsigned char expected_pubnonce[66];
+};
+"""
+
+ s += (
+ """
+struct musig_nonce_gen_vector {
+ struct musig_nonce_gen_test_case test_case[%d];
+};
+"""
+ % num_tests
+ )
+
+ s += create_init("nonce_gen")
+
+ def init_array_maybe(array):
+ return "%d , { %s }" % (
+ 0 if array is None else 1,
+ hexstr_to_intarray(array) if array is not None else 0,
+ )
+
+ s += init_cases(
+ data["test_cases"],
+ lambda case: "{ { %s }, %s, { %s }, %s, %s, %s, { %s }, { %s } },"
+ % (
+ hexstr_to_intarray(case["rand_"]),
+ init_array_maybe(case["sk"]),
+ hexstr_to_intarray(case["pk"]),
+ init_array_maybe(case["aggpk"]),
+ init_array_maybe(case["msg"]),
+ init_array_maybe(case["extra_in"]),
+ hexstr_to_intarray(case["expected_secnonce"]),
+ hexstr_to_intarray(case["expected_pubnonce"]),
+ ),
+ )
+
+ s += finish_init()
+
+# nonce agg vectors
+with open(sys.argv[1] + "/nonce_agg_vectors.json", "r") as f:
+ data = json.load(f)
+
+ num_pnonces = len(data["pnonces"])
+ num_valid_cases = len(data["valid_test_cases"])
+ num_error_cases = len(data["error_test_cases"])
+
+ pnonce_indices_len = 2
+ for case in data["valid_test_cases"] + data["error_test_cases"]:
+ assert len(case["pnonce_indices"]) == pnonce_indices_len
+
+ # Add structures for valid and error cases
+ s += """
+struct musig_nonce_agg_test_case {
+ size_t pnonce_indices[2];
+ /* if valid case */
+ unsigned char expected[66];
+ /* if error case */
+ int invalid_nonce_idx;
+};
+"""
+ # Add structure for entire vector
+ s += """
+struct musig_nonce_agg_vector {
+ unsigned char pnonces[%d][66];
+ struct musig_nonce_agg_test_case valid_case[%d];
+ struct musig_nonce_agg_test_case error_case[%d];
+};
+""" % (
+ num_pnonces,
+ num_valid_cases,
+ num_error_cases,
+ )
+
+ s += create_init("nonce_agg")
+ s += init_arrays("pnonces")
+
+ for cases in (data["valid_test_cases"], data["error_test_cases"]):
+ s += init_cases(
+ cases,
+ lambda case: "{ { %s }, { %s }, %d },"
+ % (
+ ", ".join(map(str, case["pnonce_indices"])),
+ init_optional_expected(case),
+ case["error"]["signer"] if "error" in case else 0,
+ ),
+ )
+ s += finish_init()
+
+# sign/verify vectors
+with open(sys.argv[1] + "/sign_verify_vectors.json", "r") as f:
+ data = json.load(f)
+
+ # The MuSig2 implementation only allows messages of length 32
+ assert list(filter(lambda x: len(x) == 64, data["msgs"]))[0] == data["msgs"][0]
+ data["msgs"] = [data["msgs"][0]]
+
+ def filter_msg32(k):
+ return list(filter(lambda x: x["msg_index"] == 0, data[k]))
+
+ data["valid_test_cases"] = filter_msg32("valid_test_cases")
+ data["sign_error_test_cases"] = filter_msg32("sign_error_test_cases")
+ data["verify_error_test_cases"] = filter_msg32("verify_error_test_cases")
+ data["verify_fail_test_cases"] = filter_msg32("verify_fail_test_cases")
+
+ num_pubkeys = len(data["pubkeys"])
+ max_pubkeys = max(num_pubkeys, max_pubkeys)
+ num_secnonces = len(data["secnonces"])
+ num_pubnonces = len(data["pnonces"])
+ num_aggnonces = len(data["aggnonces"])
+ num_msgs = len(data["msgs"])
+ num_valid_cases = len(data["valid_test_cases"])
+ num_sign_error_cases = len(data["sign_error_test_cases"])
+ num_verify_fail_cases = len(data["verify_fail_test_cases"])
+ num_verify_error_cases = len(data["verify_error_test_cases"])
+
+ all_cases = (
+ data["valid_test_cases"]
+ + data["sign_error_test_cases"]
+ + data["verify_error_test_cases"]
+ + data["verify_fail_test_cases"]
+ )
+ max_key_indices = max(len(test_case["key_indices"]) for test_case in all_cases)
+ max_nonce_indices = max(
+ len(test_case["nonce_indices"]) if "nonce_indices" in test_case else 0
+ for test_case in all_cases
+ )
+ # Add structures for valid and error cases
+ s += (
+ """
+/* Omit pubnonces in the test vectors because our partial signature verification
+ * implementation is able to accept the aggnonce directly. */
+struct musig_valid_case {
+ size_t key_indices_len;
+ size_t key_indices[%d];
+ size_t aggnonce_index;
+ size_t msg_index;
+ size_t signer_index;
+ unsigned char expected[32];
+};
+"""
+ % max_key_indices
+ )
+
+ s += (
+ """
+struct musig_sign_error_case {
+ size_t key_indices_len;
+ size_t key_indices[%d];
+ size_t aggnonce_index;
+ size_t msg_index;
+ size_t secnonce_index;
+ enum MUSIG_ERROR error;
+};
+"""
+ % max_key_indices
+ )
+
+ s += """
+struct musig_verify_fail_error_case {
+ unsigned char sig[32];
+ size_t key_indices_len;
+ size_t key_indices[%d];
+ size_t nonce_indices_len;
+ size_t nonce_indices[%d];
+ size_t msg_index;
+ size_t signer_index;
+ enum MUSIG_ERROR error;
+};
+""" % (
+ max_key_indices,
+ max_nonce_indices,
+ )
+
+ # Add structure for entire vector
+ s += """
+struct musig_sign_verify_vector {
+ unsigned char sk[32];
+ unsigned char pubkeys[%d][33];
+ unsigned char secnonces[%d][194];
+ unsigned char pubnonces[%d][194];
+ unsigned char aggnonces[%d][66];
+ unsigned char msgs[%d][32];
+ struct musig_valid_case valid_case[%d];
+ struct musig_sign_error_case sign_error_case[%d];
+ struct musig_verify_fail_error_case verify_fail_case[%d];
+ struct musig_verify_fail_error_case verify_error_case[%d];
+};
+""" % (
+ num_pubkeys,
+ num_secnonces,
+ num_pubnonces,
+ num_aggnonces,
+ num_msgs,
+ num_valid_cases,
+ num_sign_error_cases,
+ num_verify_fail_cases,
+ num_verify_error_cases,
+ )
+
+ s += create_init("sign_verify")
+ s += init_array("sk")
+ s += init_arrays("pubkeys")
+ s += init_arrays("secnonces")
+ s += init_arrays("pnonces")
+ s += init_arrays("aggnonces")
+ s += init_arrays("msgs")
+
+ s += init_cases(
+ data["valid_test_cases"],
+ lambda case: "{ %s, %d, %d, %d, { %s }},"
+ % (
+ init_indices(case["key_indices"]),
+ case["aggnonce_index"],
+ case["msg_index"],
+ case["signer_index"],
+ init_optional_expected(case),
+ ),
+ )
+
+ def sign_error(case):
+ comment = case["comment"]
+ if "pubkey" in comment or "public key" in comment:
+ return "MUSIG_PUBKEY"
+ elif "Aggregate nonce" in comment:
+ return "MUSIG_AGGNONCE"
+ elif "Secnonce" in comment:
+ return "MUSIG_SECNONCE"
+ else:
+ sys.exit("Unknown sign error")
+
+ s += init_cases(
+ data["sign_error_test_cases"],
+ lambda case: "{ %s, %d, %d, %d, %s },"
+ % (
+ init_indices(case["key_indices"]),
+ case["aggnonce_index"],
+ case["msg_index"],
+ case["secnonce_index"],
+ sign_error(case),
+ ),
+ )
+
+ def verify_error(case):
+ comment = case["comment"]
+ if "exceeds" in comment:
+ return "MUSIG_SIG"
+ elif "Wrong signer" in comment or "Wrong signature" in comment:
+ return "MUSIG_SIG_VERIFY"
+ elif "pubnonce" in comment:
+ return "MUSIG_PUBNONCE"
+ elif "pubkey" in comment:
+ return "MUSIG_PUBKEY"
+ else:
+ sys.exit("Unknown verify error")
+
+ for cases in ("verify_fail_test_cases", "verify_error_test_cases"):
+ s += init_cases(
+ data[cases],
+ lambda case: "{ { %s }, %s, %s, %d, %d, %s },"
+ % (
+ hexstr_to_intarray(case["sig"]),
+ init_indices(case["key_indices"]),
+ init_indices(case["nonce_indices"]),
+ case["msg_index"],
+ case["signer_index"],
+ verify_error(case),
+ ),
+ )
+
+ s += finish_init()
+
+# tweak vectors
+with open(sys.argv[1] + "/tweak_vectors.json", "r") as f:
+ data = json.load(f)
+
+ num_pubkeys = len(data["pubkeys"])
+ max_pubkeys = max(num_pubkeys, max_pubkeys)
+ num_pubnonces = len(data["pnonces"])
+ num_tweaks = len(data["tweaks"])
+ num_valid_cases = len(data["valid_test_cases"])
+ num_error_cases = len(data["error_test_cases"])
+
+ all_cases = data["valid_test_cases"] + data["error_test_cases"]
+ max_key_indices = max(len(test_case["key_indices"]) for test_case in all_cases)
+ max_tweak_indices = max(len(test_case["tweak_indices"]) for test_case in all_cases)
+ max_nonce_indices = max(len(test_case["nonce_indices"]) for test_case in all_cases)
+ # Add structures for valid and error cases
+ s += """
+struct musig_tweak_case {
+ size_t key_indices_len;
+ size_t key_indices[%d];
+ size_t nonce_indices_len;
+ size_t nonce_indices[%d];
+ size_t tweak_indices_len;
+ size_t tweak_indices[%d];
+ int is_xonly[%d];
+ size_t signer_index;
+ unsigned char expected[32];
+};
+""" % (
+ max_key_indices,
+ max_nonce_indices,
+ max_tweak_indices,
+ max_tweak_indices,
+ )
+
+ # Add structure for entire vector
+ s += """
+struct musig_tweak_vector {
+ unsigned char sk[32];
+ unsigned char secnonce[97];
+ unsigned char aggnonce[66];
+ unsigned char msg[32];
+ unsigned char pubkeys[%d][33];
+ unsigned char pubnonces[%d][194];
+ unsigned char tweaks[%d][32];
+ struct musig_tweak_case valid_case[%d];
+ struct musig_tweak_case error_case[%d];
+};
+""" % (
+ num_pubkeys,
+ num_pubnonces,
+ num_tweaks,
+ num_valid_cases,
+ num_error_cases,
+ )
+ s += create_init("tweak")
+ s += init_array("sk")
+ s += init_array("secnonce")
+ s += init_array("aggnonce")
+ s += init_array("msg")
+ s += init_arrays("pubkeys")
+ s += init_arrays("pnonces")
+ s += init_arrays("tweaks")
+
+ s += init_cases(
+ data["valid_test_cases"],
+ lambda case: "{ %s, %s, %s, { %s }, %d, { %s }},"
+ % (
+ init_indices(case["key_indices"]),
+ init_indices(case["nonce_indices"]),
+ init_indices(case["tweak_indices"]),
+ init_is_xonly(case),
+ case["signer_index"],
+ init_optional_expected(case),
+ ),
+ )
+
+ s += init_cases(
+ data["error_test_cases"],
+ lambda case: "{ %s, %s, %s, { %s }, %d, { %s }},"
+ % (
+ init_indices(case["key_indices"]),
+ init_indices(case["nonce_indices"]),
+ init_indices(case["tweak_indices"]),
+ init_is_xonly(case),
+ case["signer_index"],
+ init_optional_expected(case),
+ ),
+ )
+
+ s += finish_init()
+
+# sigagg vectors
+with open(sys.argv[1] + "/sig_agg_vectors.json", "r") as f:
+ data = json.load(f)
+
+ num_pubkeys = len(data["pubkeys"])
+ max_pubkeys = max(num_pubkeys, max_pubkeys)
+ num_tweaks = len(data["tweaks"])
+ num_psigs = len(data["psigs"])
+ num_valid_cases = len(data["valid_test_cases"])
+ num_error_cases = len(data["error_test_cases"])
+
+ all_cases = data["valid_test_cases"] + data["error_test_cases"]
+ max_key_indices = max(len(test_case["key_indices"]) for test_case in all_cases)
+ max_tweak_indices = max(len(test_case["tweak_indices"]) for test_case in all_cases)
+ max_psig_indices = max(len(test_case["psig_indices"]) for test_case in all_cases)
+
+ # Add structures for valid and error cases
+ s += """
+/* Omit pubnonces in the test vectors because they're only needed for
+ * implementations that do not directly accept an aggnonce. */
+struct musig_sig_agg_case {
+ size_t key_indices_len;
+ size_t key_indices[%d];
+ size_t tweak_indices_len;
+ size_t tweak_indices[%d];
+ int is_xonly[%d];
+ unsigned char aggnonce[66];
+ size_t psig_indices_len;
+ size_t psig_indices[%d];
+ /* if valid case */
+ unsigned char expected[64];
+ /* if error case */
+ int invalid_sig_idx;
+};
+""" % (
+ max_key_indices,
+ max_tweak_indices,
+ max_tweak_indices,
+ max_psig_indices,
+ )
+
+ # Add structure for entire vector
+ s += """
+struct musig_sig_agg_vector {
+ unsigned char pubkeys[%d][33];
+ unsigned char tweaks[%d][32];
+ unsigned char psigs[%d][32];
+ unsigned char msg[32];
+ struct musig_sig_agg_case valid_case[%d];
+ struct musig_sig_agg_case error_case[%d];
+};
+""" % (
+ num_pubkeys,
+ num_tweaks,
+ num_psigs,
+ num_valid_cases,
+ num_error_cases,
+ )
+
+ s += create_init("sig_agg")
+ s += init_arrays("pubkeys")
+ s += init_arrays("tweaks")
+ s += init_arrays("psigs")
+ s += init_array("msg")
+
+ for cases in (data["valid_test_cases"], data["error_test_cases"]):
+ s += init_cases(
+ cases,
+ lambda case: "{ %s, %s, { %s }, { %s }, %s, { %s }, %d },"
+ % (
+ init_indices(case["key_indices"]),
+ init_indices(case["tweak_indices"]),
+ init_is_xonly(case),
+ hexstr_to_intarray(case["aggnonce"]),
+ init_indices(case["psig_indices"]),
+ init_optional_expected(case),
+ case["error"]["signer"] if "error" in case else 0,
+ ),
+ )
+ s += finish_init()
+s += "enum { MUSIG_VECTORS_MAX_PUBKEYS = %d };" % max_pubkeys
+print(s)
diff --git a/go-ethereum/crypto/secp256k1/libsecp256k1/tools/tests_wycheproof_generate.py b/go-ethereum/crypto/secp256k1/libsecp256k1/tools/tests_wycheproof_generate.py
new file mode 100755
index 00000000..b26dfa89
--- /dev/null
+++ b/go-ethereum/crypto/secp256k1/libsecp256k1/tools/tests_wycheproof_generate.py
@@ -0,0 +1,115 @@
+#!/usr/bin/env python3
+# Copyright (c) 2023 Random "Randy" Lattice and Sean Andersen
+# Distributed under the MIT software license, see the accompanying
+# file COPYING or https://www.opensource.org/licenses/mit-license.php.
+'''
+Generate a C file with ECDSA testvectors from the Wycheproof project.
+'''
+
+import json
+import sys
+
+filename_input = sys.argv[1]
+
+with open(filename_input) as f:
+ doc = json.load(f)
+
+num_groups = len(doc['testGroups'])
+
+def to_c_array(x):
+ if x == "":
+ return ""
+ s = ',0x'.join(a+b for a,b in zip(x[::2], x[1::2]))
+ return "0x" + s
+
+
+num_vectors = 0
+offset_msg_running, offset_pk_running, offset_sig = 0, 0, 0
+out = ""
+messages = ""
+signatures = ""
+public_keys = ""
+cache_msgs = {}
+cache_public_keys = {}
+
+for i in range(num_groups):
+ group = doc['testGroups'][i]
+ num_tests = len(group['tests'])
+ public_key = group['publicKey']
+ for j in range(num_tests):
+ test_vector = group['tests'][j]
+ # // 2 to convert hex to byte length
+ sig_size = len(test_vector['sig']) // 2
+ msg_size = len(test_vector['msg']) // 2
+
+ if test_vector['result'] == "invalid":
+ expected_verify = 0
+ elif test_vector['result'] == "valid":
+ expected_verify = 1
+ else:
+ raise ValueError("invalid result field")
+
+ if num_vectors != 0 and sig_size != 0:
+ signatures += ",\n "
+
+ new_msg = False
+ msg = to_c_array(test_vector['msg'])
+ msg_offset = offset_msg_running
+ # check for repeated msg
+ if msg not in cache_msgs:
+ if num_vectors != 0 and msg_size != 0:
+ messages += ",\n "
+ cache_msgs[msg] = offset_msg_running
+ messages += msg
+ new_msg = True
+ else:
+ msg_offset = cache_msgs[msg]
+
+ new_pk = False
+ pk = to_c_array(public_key['uncompressed'])
+ pk_offset = offset_pk_running
+ # check for repeated pk
+ if pk not in cache_public_keys:
+ if num_vectors != 0:
+ public_keys += ",\n "
+ cache_public_keys[pk] = offset_pk_running
+ public_keys += pk
+ new_pk = True
+ else:
+ pk_offset = cache_public_keys[pk]
+
+ signatures += to_c_array(test_vector['sig'])
+
+ out += " /" + "* tcId: " + str(test_vector['tcId']) + ". " + test_vector['comment'] + " *" + "/\n"
+ out += f" {{{pk_offset}, {msg_offset}, {msg_size}, {offset_sig}, {sig_size}, {expected_verify} }},\n"
+ if new_msg:
+ offset_msg_running += msg_size
+ if new_pk:
+ offset_pk_running += 65
+ offset_sig += sig_size
+ num_vectors += 1
+
+struct_definition = """
+typedef struct {
+ size_t pk_offset;
+ size_t msg_offset;
+ size_t msg_len;
+ size_t sig_offset;
+ size_t sig_len;
+ int expected_verify;
+} wycheproof_ecdsa_testvector;
+"""
+
+
+print("/* Note: this file was autogenerated using tests_wycheproof_generate.py. Do not edit. */")
+print(f"#define SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS ({num_vectors})")
+
+print(struct_definition)
+
+print("static const unsigned char wycheproof_ecdsa_messages[] = { " + messages + "};\n")
+print("static const unsigned char wycheproof_ecdsa_public_keys[] = { " + public_keys + "};\n")
+print("static const unsigned char wycheproof_ecdsa_signatures[] = { " + signatures + "};\n")
+
+print("static const wycheproof_ecdsa_testvector testvectors[SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS] = {")
+print(out)
+print("};")
diff --git a/go-ethereum/crypto/secp256k1/panic_cb.go b/go-ethereum/crypto/secp256k1/panic_cb.go
index ce7c109a..a30b04f5 100644
--- a/go-ethereum/crypto/secp256k1/panic_cb.go
+++ b/go-ethereum/crypto/secp256k1/panic_cb.go
@@ -13,12 +13,12 @@ import "unsafe"
// Callbacks for converting libsecp256k1 internal faults into
// recoverable Go panics.
-//export ethkitSecp256k1GoPanicIllegal
-func ethkitSecp256k1GoPanicIllegal(msg *C.char, data unsafe.Pointer) {
+//export secp256k1GoPanicIllegal
+func secp256k1GoPanicIllegal(msg *C.char, data unsafe.Pointer) {
panic("illegal argument: " + C.GoString(msg))
}
-//export ethkitSecp256k1GoPanicError
-func ethkitSecp256k1GoPanicError(msg *C.char, data unsafe.Pointer) {
+//export secp256k1GoPanicError
+func secp256k1GoPanicError(msg *C.char, data unsafe.Pointer) {
panic("internal error: " + C.GoString(msg))
}
diff --git a/go-ethereum/crypto/secp256k1/scalar_mult_cgo.go b/go-ethereum/crypto/secp256k1/scalar_mult_cgo.go
index 802c0083..d11c11fa 100644
--- a/go-ethereum/crypto/secp256k1/scalar_mult_cgo.go
+++ b/go-ethereum/crypto/secp256k1/scalar_mult_cgo.go
@@ -16,7 +16,7 @@ import (
#include "libsecp256k1/include/secp256k1.h"
-extern int ethkit_secp256k1_ext_scalar_mul(const secp256k1_context* ctx, const unsigned char *point, const unsigned char *scalar);
+extern int secp256k1_ext_scalar_mul(const secp256k1_context* ctx, const unsigned char *point, const unsigned char *scalar);
*/
import "C"
@@ -39,7 +39,7 @@ func (bitCurve *BitCurve) ScalarMult(Bx, By *big.Int, scalar []byte) (*big.Int,
pointPtr := (*C.uchar)(unsafe.Pointer(&point[0]))
scalarPtr := (*C.uchar)(unsafe.Pointer(&scalar[0]))
- res := C.ethkit_secp256k1_ext_scalar_mul(context, pointPtr, scalarPtr)
+ res := C.secp256k1_ext_scalar_mul(context, pointPtr, scalarPtr)
// Unpack the result and clear temporaries.
x := new(big.Int).SetBytes(point[:32])
diff --git a/go-ethereum/crypto/secp256k1/secp256.go b/go-ethereum/crypto/secp256k1/secp256.go
index a205daba..60ae7d9e 100644
--- a/go-ethereum/crypto/secp256k1/secp256.go
+++ b/go-ethereum/crypto/secp256k1/secp256.go
@@ -12,30 +12,19 @@ package secp256k1
#cgo CFLAGS: -I./libsecp256k1
#cgo CFLAGS: -I./libsecp256k1/src/
-#ifdef __SIZEOF_INT128__
-# define HAVE___INT128
-# define USE_FIELD_5X52
-# define USE_SCALAR_4X64
-#else
-# define USE_FIELD_10X26
-# define USE_SCALAR_8X32
-#endif
-
#ifndef NDEBUG
# define NDEBUG
#endif
-#define USE_ENDOMORPHISM
-#define USE_NUM_NONE
-#define USE_FIELD_INV_BUILTIN
-#define USE_SCALAR_INV_BUILTIN
#include "./libsecp256k1/src/secp256k1.c"
#include "./libsecp256k1/src/modules/recovery/main_impl.h"
+#include "./libsecp256k1/src/precomputed_ecmult.c"
+#include "./libsecp256k1/src/precomputed_ecmult_gen.c"
#include "ext.h"
typedef void (*callbackFunc) (const char* msg, void* data);
-extern void ethkitSecp256k1GoPanicIllegal(const char* msg, void* data);
-extern void ethkitSecp256k1GoPanicError(const char* msg, void* data);
+extern void secp256k1GoPanicIllegal(const char* msg, void* data);
+extern void secp256k1GoPanicError(const char* msg, void* data);
*/
import "C"
@@ -50,8 +39,8 @@ var context *C.secp256k1_context
func init() {
// around 20 ms on a modern CPU.
context = C.secp256k1_context_create_sign_verify()
- C.ethkit_secp256k1_context_set_illegal_callback(context, C.callbackFunc(C.ethkitSecp256k1GoPanicIllegal), nil)
- C.ethkit_secp256k1_context_set_error_callback(context, C.callbackFunc(C.ethkitSecp256k1GoPanicError), nil)
+ C.secp256k1_context_set_illegal_callback(context, C.callbackFunc(C.secp256k1GoPanicIllegal), nil)
+ C.secp256k1_context_set_error_callback(context, C.callbackFunc(C.secp256k1GoPanicError), nil)
}
var (
@@ -78,16 +67,16 @@ func Sign(msg []byte, seckey []byte) ([]byte, error) {
return nil, ErrInvalidKey
}
seckeydata := (*C.uchar)(unsafe.Pointer(&seckey[0]))
- if C.ethkit_secp256k1_ec_seckey_verify(context, seckeydata) != 1 {
+ if C.secp256k1_ec_seckey_verify(context, seckeydata) != 1 {
return nil, ErrInvalidKey
}
var (
msgdata = (*C.uchar)(unsafe.Pointer(&msg[0]))
- noncefunc = C.ethkit_secp256k1_nonce_function_rfc6979
+ noncefunc = C.secp256k1_nonce_function_rfc6979
sigstruct C.secp256k1_ecdsa_recoverable_signature
)
- if C.ethkit_secp256k1_ecdsa_sign_recoverable(context, &sigstruct, msgdata, seckeydata, noncefunc, nil) == 0 {
+ if C.secp256k1_ecdsa_sign_recoverable(context, &sigstruct, msgdata, seckeydata, noncefunc, nil) == 0 {
return nil, ErrSignFailed
}
@@ -96,7 +85,7 @@ func Sign(msg []byte, seckey []byte) ([]byte, error) {
sigdata = (*C.uchar)(unsafe.Pointer(&sig[0]))
recid C.int
)
- C.ethkit_secp256k1_ecdsa_recoverable_signature_serialize_compact(context, sigdata, &recid, &sigstruct)
+ C.secp256k1_ecdsa_recoverable_signature_serialize_compact(context, sigdata, &recid, &sigstruct)
sig[64] = byte(recid) // add back recid to get 65 bytes sig
return sig, nil
}
diff --git a/go-ethereum/crypto/signature_cgo.go b/go-ethereum/crypto/signature_cgo.go
index e0aa9953..5faed425 100644
--- a/go-ethereum/crypto/signature_cgo.go
+++ b/go-ethereum/crypto/signature_cgo.go
@@ -14,8 +14,8 @@
// You should have received a copy of the GNU Lesser General Public License
// along with the go-ethereum library. If not, see .
-//go:build !nacl && !js && cgo && !gofuzz
-// +build !nacl,!js,cgo,!gofuzz
+//go:build !nacl && !js && !wasip1 && cgo && !gofuzz
+// +build !nacl,!js,!wasip1,cgo,!gofuzz
package crypto
diff --git a/go-ethereum/crypto/signature_nocgo.go b/go-ethereum/crypto/signature_nocgo.go
index 5ac3765c..2d35b494 100644
--- a/go-ethereum/crypto/signature_nocgo.go
+++ b/go-ethereum/crypto/signature_nocgo.go
@@ -14,8 +14,8 @@
// You should have received a copy of the GNU Lesser General Public License
// along with the go-ethereum library. If not, see .
-//go:build nacl || js || !cgo || gofuzz
-// +build nacl js !cgo gofuzz
+//go:build nacl || js || wasip1 || !cgo || gofuzz
+// +build nacl js wasip1 !cgo gofuzz
package crypto
@@ -25,8 +25,8 @@ import (
"fmt"
"math/big"
- "github.com/btcsuite/btcd/btcec/v2"
- btc_ecdsa "github.com/btcsuite/btcd/btcec/v2/ecdsa"
+ "github.com/decred/dcrd/dcrec/secp256k1/v4"
+ decred_ecdsa "github.com/decred/dcrd/dcrec/secp256k1/v4/ecdsa"
)
// Ecrecover returns the uncompressed public key that created the given signature.
@@ -39,16 +39,16 @@ func Ecrecover(hash, sig []byte) ([]byte, error) {
return bytes, err
}
-func sigToPub(hash, sig []byte) (*btcec.PublicKey, error) {
+func sigToPub(hash, sig []byte) (*secp256k1.PublicKey, error) {
if len(sig) != SignatureLength {
return nil, errors.New("invalid signature")
}
- // Convert to btcec input format with 'recovery id' v at the beginning.
+ // Convert to secp256k1 input format with 'recovery id' v at the beginning.
btcsig := make([]byte, SignatureLength)
btcsig[0] = sig[RecoveryIDOffset] + 27
copy(btcsig[1:], sig)
- pub, _, err := btc_ecdsa.RecoverCompact(btcsig, hash)
+ pub, _, err := decred_ecdsa.RecoverCompact(btcsig, hash)
return pub, err
}
@@ -82,13 +82,13 @@ func Sign(hash []byte, prv *ecdsa.PrivateKey) ([]byte, error) {
if prv.Curve != S256() {
return nil, errors.New("private key curve is not secp256k1")
}
- // ecdsa.PrivateKey -> btcec.PrivateKey
- var priv btcec.PrivateKey
+ // ecdsa.PrivateKey -> secp256k1.PrivateKey
+ var priv secp256k1.PrivateKey
if overflow := priv.Key.SetByteSlice(prv.D.Bytes()); overflow || priv.Key.IsZero() {
return nil, errors.New("invalid private key")
}
defer priv.Zero()
- sig := btc_ecdsa.SignCompact(&priv, hash, false) // ref uncompressed pubkey
+ sig := decred_ecdsa.SignCompact(&priv, hash, false) // ref uncompressed pubkey
// Convert to Ethereum signature format with 'recovery id' v at the end.
v := sig[0] - 27
copy(sig, sig[1:])
@@ -103,19 +103,19 @@ func VerifySignature(pubkey, hash, signature []byte) bool {
if len(signature) != 64 {
return false
}
- var r, s btcec.ModNScalar
+ var r, s secp256k1.ModNScalar
if r.SetByteSlice(signature[:32]) {
return false // overflow
}
if s.SetByteSlice(signature[32:]) {
return false
}
- sig := btc_ecdsa.NewSignature(&r, &s)
- key, err := btcec.ParsePubKey(pubkey)
+ sig := decred_ecdsa.NewSignature(&r, &s)
+ key, err := secp256k1.ParsePubKey(pubkey)
if err != nil {
return false
}
- // Reject malleable signatures. libsecp256k1 does this check but btcec doesn't.
+ // Reject malleable signatures. libsecp256k1 does this check but decred doesn't.
if s.IsOverHalfOrder() {
return false
}
@@ -127,7 +127,7 @@ func DecompressPubkey(pubkey []byte) (*ecdsa.PublicKey, error) {
if len(pubkey) != 33 {
return nil, errors.New("invalid compressed public key length")
}
- key, err := btcec.ParsePubKey(pubkey)
+ key, err := secp256k1.ParsePubKey(pubkey)
if err != nil {
return nil, err
}
@@ -148,20 +148,20 @@ func DecompressPubkey(pubkey []byte) (*ecdsa.PublicKey, error) {
// when constructing a PrivateKey.
func CompressPubkey(pubkey *ecdsa.PublicKey) []byte {
// NOTE: the coordinates may be validated with
- // btcec.ParsePubKey(FromECDSAPub(pubkey))
- var x, y btcec.FieldVal
+ // secp256k1.ParsePubKey(FromECDSAPub(pubkey))
+ var x, y secp256k1.FieldVal
x.SetByteSlice(pubkey.X.Bytes())
y.SetByteSlice(pubkey.Y.Bytes())
- return btcec.NewPublicKey(&x, &y).SerializeCompressed()
+ return secp256k1.NewPublicKey(&x, &y).SerializeCompressed()
}
// S256 returns an instance of the secp256k1 curve.
func S256() EllipticCurve {
- return btCurve{btcec.S256()}
+ return btCurve{secp256k1.S256()}
}
type btCurve struct {
- *btcec.KoblitzCurve
+ *secp256k1.KoblitzCurve
}
// Marshal converts a point given as (x, y) into a byte slice.
diff --git a/go-ethereum/crypto/signify/signify_fuzz.go b/go-ethereum/crypto/signify/signify_fuzz.go
new file mode 100644
index 00000000..239a2134
--- /dev/null
+++ b/go-ethereum/crypto/signify/signify_fuzz.go
@@ -0,0 +1,151 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+//go:build gofuzz
+// +build gofuzz
+
+package signify
+
+import (
+ "bufio"
+ "fmt"
+ "log"
+ "os"
+ "os/exec"
+
+ fuzz "github.com/google/gofuzz"
+ "github.com/jedisct1/go-minisign"
+)
+
+func Fuzz(data []byte) int {
+ if len(data) < 32 {
+ return -1
+ }
+ tmpFile, err := os.CreateTemp("", "")
+ if err != nil {
+ panic(err)
+ }
+ defer os.Remove(tmpFile.Name())
+ defer tmpFile.Close()
+
+ testSecKey, testPubKey := createKeyPair()
+ // Create message
+ tmpFile.Write(data)
+ if err = tmpFile.Close(); err != nil {
+ panic(err)
+ }
+ // Fuzz comments
+ var untrustedComment string
+ var trustedComment string
+ f := fuzz.NewFromGoFuzz(data)
+ f.Fuzz(&untrustedComment)
+ f.Fuzz(&trustedComment)
+ fmt.Printf("untrusted: %v\n", untrustedComment)
+ fmt.Printf("trusted: %v\n", trustedComment)
+
+ err = SignifySignFile(tmpFile.Name(), tmpFile.Name()+".sig", testSecKey, untrustedComment, trustedComment)
+ if err != nil {
+ panic(err)
+ }
+ defer os.Remove(tmpFile.Name() + ".sig")
+
+ signify := "signify"
+ path := os.Getenv("SIGNIFY")
+ if path != "" {
+ signify = path
+ }
+
+ _, err := exec.LookPath(signify)
+ if err != nil {
+ panic(err)
+ }
+
+ // Write the public key into the file to pass it as
+ // an argument to signify-openbsd
+ pubKeyFile, err := os.CreateTemp("", "")
+ if err != nil {
+ panic(err)
+ }
+ defer os.Remove(pubKeyFile.Name())
+ defer pubKeyFile.Close()
+ pubKeyFile.WriteString("untrusted comment: signify public key\n")
+ pubKeyFile.WriteString(testPubKey)
+ pubKeyFile.WriteString("\n")
+
+ cmd := exec.Command(signify, "-V", "-p", pubKeyFile.Name(), "-x", tmpFile.Name()+".sig", "-m", tmpFile.Name())
+ if output, err := cmd.CombinedOutput(); err != nil {
+ panic(fmt.Sprintf("could not verify the file: %v, output: \n%s", err, output))
+ }
+
+ // Verify the signature using a golang library
+ sig, err := minisign.NewSignatureFromFile(tmpFile.Name() + ".sig")
+ if err != nil {
+ panic(err)
+ }
+
+ pKey, err := minisign.NewPublicKey(testPubKey)
+ if err != nil {
+ panic(err)
+ }
+
+ valid, err := pKey.VerifyFromFile(tmpFile.Name(), sig)
+ if err != nil {
+ panic(err)
+ }
+ if !valid {
+ panic("invalid signature")
+ }
+ return 1
+}
+
+func getKey(fileS string) (string, error) {
+ file, err := os.Open(fileS)
+ if err != nil {
+ log.Fatal(err)
+ }
+ defer file.Close()
+
+ scanner := bufio.NewScanner(file)
+ // Discard the first line
+ scanner.Scan()
+ scanner.Scan()
+ return scanner.Text(), scanner.Err()
+}
+
+func createKeyPair() (string, string) {
+ // Create key and put it in correct format
+ tmpKey, err := os.CreateTemp("", "")
+ if err != nil {
+ panic(err)
+ }
+ defer os.Remove(tmpKey.Name())
+ defer os.Remove(tmpKey.Name() + ".pub")
+ defer os.Remove(tmpKey.Name() + ".sec")
+ defer tmpKey.Close()
+ cmd := exec.Command("signify", "-G", "-n", "-p", tmpKey.Name()+".pub", "-s", tmpKey.Name()+".sec")
+ if output, err := cmd.CombinedOutput(); err != nil {
+ panic(fmt.Sprintf("could not verify the file: %v, output: \n%s", err, output))
+ }
+ secKey, err := getKey(tmpKey.Name() + ".sec")
+ if err != nil {
+ panic(err)
+ }
+ pubKey, err := getKey(tmpKey.Name() + ".pub")
+ if err != nil {
+ panic(err)
+ }
+ return secKey, pubKey
+}
diff --git a/go-ethereum/ethclient/ethclient.go b/go-ethereum/ethclient/ethclient.go
index 806fe018..56d0006d 100644
--- a/go-ethereum/ethclient/ethclient.go
+++ b/go-ethereum/ethclient/ethclient.go
@@ -85,11 +85,23 @@ func (ec *Client) BlockByHash(ctx context.Context, hash common.Hash) (*types.Blo
return ec.getBlock(ctx, "eth_getBlockByHash", hash, true)
}
-// BlockByNumber returns a block from the current canonical chain. If number is nil, the
-// latest known block is returned.
+// BlockByNumber returns a block from the current canonical chain.
+// If `number` is nil, the latest known block is returned.
//
-// Note that loading full blocks requires two requests. Use HeaderByNumber
-// if you don't need all transactions or uncle headers.
+// Use `HeaderByNumber` if you don't need full transaction data or uncle headers.
+//
+// Supported special block number tags:
+// - `earliest` : The genesis (earliest) block
+// - `latest` : The most recently included block
+// - `safe` : The latest safe head block
+// - `finalized` : The latest finalized block
+// - `pending` : The pending block
+//
+// Example usage:
+//
+// ```go
+// BlockByNumber(context.Background(), big.NewInt(int64(rpc.LatestBlockNumber)))
+// ```
func (ec *Client) BlockByNumber(ctx context.Context, number *big.Int) (*types.Block, error) {
return ec.getBlock(ctx, "eth_getBlockByNumber", toBlockNumArg(number), true)
}
@@ -119,7 +131,7 @@ func (ec *Client) BlockReceipts(ctx context.Context, blockNrOrHash rpc.BlockNumb
}
type rpcBlock struct {
- Hash common.Hash `json:"hash"`
+ Hash *common.Hash `json:"hash"`
Transactions []rpcTransaction `json:"transactions"`
UncleHashes []common.Hash `json:"uncles"`
Withdrawals []*types.Withdrawal `json:"withdrawals,omitempty"`
@@ -146,6 +158,12 @@ func (ec *Client) getBlock(ctx context.Context, method string, args ...interface
if err := json.Unmarshal(raw, &body); err != nil {
return nil, err
}
+ // Pending blocks don't return a block hash, compute it for sender caching.
+ if body.Hash == nil {
+ tmp := head.Hash()
+ body.Hash = &tmp
+ }
+
// Quick-verify transaction and uncle lists. This mostly helps with debugging the server.
if head.UncleHash == types.EmptyUncleHash && len(body.UncleHashes) > 0 {
return nil, errors.New("server returned non-empty uncle list but block header indicates no uncles")
@@ -187,10 +205,11 @@ func (ec *Client) getBlock(ctx context.Context, method string, args ...interface
txs := make([]*types.Transaction, len(body.Transactions))
for i, tx := range body.Transactions {
if tx.From != nil {
- setSenderFromServer(tx.tx, *tx.From, body.Hash)
+ setSenderFromServer(tx.tx, *tx.From, *body.Hash)
}
txs[i] = tx.tx
}
+
return types.NewBlockWithHeader(head).WithBody(
types.Body{
Transactions: txs,
@@ -209,8 +228,21 @@ func (ec *Client) HeaderByHash(ctx context.Context, hash common.Hash) (*types.He
return head, err
}
-// HeaderByNumber returns a block header from the current canonical chain. If number is
-// nil, the latest known header is returned.
+// HeaderByNumber returns a block header from the current canonical chain.
+// If `number` is nil, the latest known block header is returned.
+//
+// Supported special block number tags:
+// - `earliest` : The genesis (earliest) block
+// - `latest` : The most recently included block
+// - `safe` : The latest safe head block
+// - `finalized` : The latest finalized block
+// - `pending` : The pending block
+//
+// Example usage:
+//
+// ```go
+// HeaderByNumber(context.Background(), big.NewInt(int64(rpc.LatestBlockNumber)))
+// ```
func (ec *Client) HeaderByNumber(ctx context.Context, number *big.Int) (*types.Header, error) {
var head *types.Header
err := ec.c.CallContext(ctx, &head, "eth_getBlockByNumber", toBlockNumArg(number), false)
@@ -359,7 +391,7 @@ func (ec *Client) NetworkID(ctx context.Context) (*big.Int, error) {
if err := ec.c.CallContext(ctx, &ver, "net_version"); err != nil {
return nil, err
}
- if _, ok := version.SetString(ver, 10); !ok {
+ if _, ok := version.SetString(ver, 0); !ok {
return nil, fmt.Errorf("invalid net_version result %q", ver)
}
return version, nil
@@ -572,6 +604,15 @@ func (ec *Client) SuggestGasTipCap(ctx context.Context) (*big.Int, error) {
return (*big.Int)(&hex), nil
}
+// BlobBaseFee retrieves the current blob base fee.
+func (ec *Client) BlobBaseFee(ctx context.Context) (*big.Int, error) {
+ var hex hexutil.Big
+ if err := ec.c.CallContext(ctx, &hex, "eth_blobBaseFee"); err != nil {
+ return nil, err
+ }
+ return (*big.Int)(&hex), nil
+}
+
type feeHistoryResultMarshaling struct {
OldestBlock *hexutil.Big `json:"oldestBlock"`
Reward [][]*hexutil.Big `json:"reward,omitempty"`
@@ -605,9 +646,13 @@ func (ec *Client) FeeHistory(ctx context.Context, blockCount uint64, lastBlock *
}
// EstimateGas tries to estimate the gas needed to execute a specific transaction based on
-// the current pending state of the backend blockchain. There is no guarantee that this is
-// the true gas limit requirement as other transactions may be added or removed by miners,
-// but it should provide a basis for setting a reasonable default.
+// the current state of the backend blockchain. There is no guarantee that this is the
+// true gas limit requirement as other transactions may be added or removed by miners, but
+// it should provide a basis for setting a reasonable default.
+//
+// Note that the state used by this method is implementation-defined by the remote RPC
+// server, but it's reasonable to assume that it will either be the pending or latest
+// state.
func (ec *Client) EstimateGas(ctx context.Context, msg ethereum.CallMsg) (uint64, error) {
var hex hexutil.Uint64
err := ec.c.CallContext(ctx, &hex, "eth_estimateGas", toCallArg(msg))
@@ -617,6 +662,28 @@ func (ec *Client) EstimateGas(ctx context.Context, msg ethereum.CallMsg) (uint64
return uint64(hex), nil
}
+// EstimateGasAtBlock is almost the same as EstimateGas except that it selects the block height
+// instead of using the remote RPC's default state for gas estimation.
+func (ec *Client) EstimateGasAtBlock(ctx context.Context, msg ethereum.CallMsg, blockNumber *big.Int) (uint64, error) {
+ var hex hexutil.Uint64
+ err := ec.c.CallContext(ctx, &hex, "eth_estimateGas", toCallArg(msg), toBlockNumArg(blockNumber))
+ if err != nil {
+ return 0, err
+ }
+ return uint64(hex), nil
+}
+
+// EstimateGasAtBlockHash is almost the same as EstimateGas except that it selects the block
+// hash instead of using the remote RPC's default state for gas estimation.
+func (ec *Client) EstimateGasAtBlockHash(ctx context.Context, msg ethereum.CallMsg, blockHash common.Hash) (uint64, error) {
+ var hex hexutil.Uint64
+ err := ec.c.CallContext(ctx, &hex, "eth_estimateGas", toCallArg(msg), rpc.BlockNumberOrHashWithHash(blockHash, false))
+ if err != nil {
+ return 0, err
+ }
+ return uint64(hex), nil
+}
+
// SendTransaction injects a signed transaction into the pending pool for execution.
//
// If the transaction was a contract creation use the TransactionReceipt method to get the
@@ -629,6 +696,23 @@ func (ec *Client) SendTransaction(ctx context.Context, tx *types.Transaction) er
return ec.c.CallContext(ctx, nil, "eth_sendRawTransaction", hexutil.Encode(data))
}
+// RevertErrorData returns the 'revert reason' data of a contract call.
+//
+// This can be used with CallContract and EstimateGas, and only when the server is Geth.
+func RevertErrorData(err error) ([]byte, bool) {
+ var ec rpc.Error
+ var ed rpc.DataError
+ if errors.As(err, &ec) && errors.As(err, &ed) && ec.ErrorCode() == 3 {
+ if eds, ok := ed.ErrorData().(string); ok {
+ revertData, err := hexutil.Decode(eds)
+ if err == nil {
+ return revertData, true
+ }
+ }
+ }
+ return nil, false
+}
+
func toBlockNumArg(number *big.Int) string {
if number == nil {
return "latest"
@@ -676,6 +760,9 @@ func toCallArg(msg ethereum.CallMsg) interface{} {
if msg.BlobHashes != nil {
arg["blobVersionedHashes"] = msg.BlobHashes
}
+ if msg.AuthorizationList != nil {
+ arg["authorizationList"] = msg.AuthorizationList
+ }
return arg
}
diff --git a/go-ethereum/ethclient/gethclient/gethclient.go b/go-ethereum/ethclient/gethclient/gethclient.go
index a547afa9..92088577 100644
--- a/go-ethereum/ethclient/gethclient/gethclient.go
+++ b/go-ethereum/ethclient/gethclient/gethclient.go
@@ -29,6 +29,7 @@ import (
"github.com/0xsequence/ethkit/go-ethereum/common"
"github.com/0xsequence/ethkit/go-ethereum/common/hexutil"
"github.com/0xsequence/ethkit/go-ethereum/core/types"
+ "github.com/0xsequence/ethkit/go-ethereum/p2p"
"github.com/0xsequence/ethkit/go-ethereum/rpc"
)
@@ -186,6 +187,13 @@ func (ec *Client) SetHead(ctx context.Context, number *big.Int) error {
return ec.c.CallContext(ctx, nil, "debug_setHead", toBlockNumArg(number))
}
+// GetNodeInfo retrieves the node info of a geth node.
+func (ec *Client) GetNodeInfo(ctx context.Context) (*p2p.NodeInfo, error) {
+ var result p2p.NodeInfo
+ err := ec.c.CallContext(ctx, &result, "admin_nodeInfo")
+ return &result, err
+}
+
// SubscribeFullPendingTransactions subscribes to new pending transactions.
func (ec *Client) SubscribeFullPendingTransactions(ctx context.Context, ch chan<- *types.Transaction) (*rpc.ClientSubscription, error) {
return ec.c.EthSubscribe(ctx, ch, "newPendingTransactions", true)
@@ -243,6 +251,9 @@ func toCallArg(msg ethereum.CallMsg) interface{} {
if msg.BlobHashes != nil {
arg["blobVersionedHashes"] = msg.BlobHashes
}
+ if msg.AuthorizationList != nil {
+ arg["authorizationList"] = msg.AuthorizationList
+ }
return arg
}
@@ -320,9 +331,9 @@ func (o BlockOverrides) MarshalJSON() ([]byte, error) {
Difficulty *hexutil.Big `json:"difficulty,omitempty"`
Time hexutil.Uint64 `json:"time,omitempty"`
GasLimit hexutil.Uint64 `json:"gasLimit,omitempty"`
- Coinbase *common.Address `json:"coinbase,omitempty"`
- Random *common.Hash `json:"random,omitempty"`
- BaseFee *hexutil.Big `json:"baseFee,omitempty"`
+ Coinbase *common.Address `json:"feeRecipient,omitempty"`
+ Random *common.Hash `json:"prevRandao,omitempty"`
+ BaseFee *hexutil.Big `json:"baseFeePerGas,omitempty"`
}
output := override{
diff --git a/go-ethereum/interfaces.go b/go-ethereum/interfaces.go
index f359d53e..2e7db88a 100644
--- a/go-ethereum/interfaces.go
+++ b/go-ethereum/interfaces.go
@@ -156,6 +156,9 @@ type CallMsg struct {
// For BlobTxType
BlobGasFeeCap *big.Int
BlobHashes []common.Hash
+
+ // For SetCodeTxType
+ AuthorizationList []types.SetCodeAuthorization
}
// A ContractCaller provides contract calls, essentially transactions that are executed by
diff --git a/go-ethereum/internal/blocktest/test_hash.go b/go-ethereum/internal/blocktest/test_hash.go
new file mode 100644
index 00000000..3fcb774b
--- /dev/null
+++ b/go-ethereum/internal/blocktest/test_hash.go
@@ -0,0 +1,59 @@
+// Copyright 2023 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+// Package utesting provides a standalone replacement for package testing.
+//
+// This package exists because package testing cannot easily be embedded into a
+// standalone go program. It provides an API that mirrors the standard library
+// testing API.
+
+package blocktest
+
+import (
+ "hash"
+
+ "github.com/0xsequence/ethkit/go-ethereum/common"
+ "golang.org/x/crypto/sha3"
+)
+
+// testHasher is the helper tool for transaction/receipt list hashing.
+// The original hasher is trie, in order to get rid of import cycle,
+// use the testing hasher instead.
+type testHasher struct {
+ hasher hash.Hash
+}
+
+// NewHasher returns a new testHasher instance.
+func NewHasher() *testHasher {
+ return &testHasher{hasher: sha3.NewLegacyKeccak256()}
+}
+
+// Reset resets the hash state.
+func (h *testHasher) Reset() {
+ h.hasher.Reset()
+}
+
+// Update updates the hash state with the given key and value.
+func (h *testHasher) Update(key, val []byte) error {
+ h.hasher.Write(key)
+ h.hasher.Write(val)
+ return nil
+}
+
+// Hash returns the hash value.
+func (h *testHasher) Hash() common.Hash {
+ return common.BytesToHash(h.hasher.Sum(nil))
+}
diff --git a/go-ethereum/internal/testrand/rand.go b/go-ethereum/internal/testrand/rand.go
new file mode 100644
index 00000000..5becfde2
--- /dev/null
+++ b/go-ethereum/internal/testrand/rand.go
@@ -0,0 +1,53 @@
+// Copyright 2023 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package testrand
+
+import (
+ crand "crypto/rand"
+ "encoding/binary"
+ mrand "math/rand"
+
+ "github.com/0xsequence/ethkit/go-ethereum/common"
+)
+
+// prng is a pseudo random number generator seeded by strong randomness.
+// The randomness is printed on startup in order to make failures reproducible.
+var prng = initRand()
+
+func initRand() *mrand.Rand {
+ var seed [8]byte
+ crand.Read(seed[:])
+ rnd := mrand.New(mrand.NewSource(int64(binary.LittleEndian.Uint64(seed[:]))))
+ return rnd
+}
+
+// Bytes generates a random byte slice with specified length.
+func Bytes(n int) []byte {
+ r := make([]byte, n)
+ prng.Read(r)
+ return r
+}
+
+// Hash generates a random hash.
+func Hash() common.Hash {
+ return common.BytesToHash(Bytes(common.HashLength))
+}
+
+// Address generates a random address.
+func Address() common.Address {
+ return common.BytesToAddress(Bytes(common.AddressLength))
+}
diff --git a/go-ethereum/log/format.go b/go-ethereum/log/format.go
index 54c071b9..e7dd8a40 100644
--- a/go-ethereum/log/format.go
+++ b/go-ethereum/log/format.go
@@ -79,7 +79,7 @@ func (h *TerminalHandler) format(buf []byte, r slog.Record, usecolor bool) []byt
}
func (h *TerminalHandler) formatAttributes(buf *bytes.Buffer, r slog.Record, color string) {
- writeAttr := func(attr slog.Attr, first, last bool) {
+ writeAttr := func(attr slog.Attr, last bool) {
buf.WriteByte(' ')
if color != "" {
@@ -107,11 +107,11 @@ func (h *TerminalHandler) formatAttributes(buf *bytes.Buffer, r slog.Record, col
var n = 0
var nAttrs = len(h.attrs) + r.NumAttrs()
for _, attr := range h.attrs {
- writeAttr(attr, n == 0, n == nAttrs-1)
+ writeAttr(attr, n == nAttrs-1)
n++
}
r.Attrs(func(attr slog.Attr) bool {
- writeAttr(attr, n == 0, n == nAttrs-1)
+ writeAttr(attr, n == nAttrs-1)
n++
return true
})
diff --git a/go-ethereum/log/logger_test.go b/go-ethereum/log/logger_test.go
index f1a9a93b..3ec6d2e1 100644
--- a/go-ethereum/log/logger_test.go
+++ b/go-ethereum/log/logger_test.go
@@ -7,7 +7,6 @@ import (
"io"
"log/slog"
"math/big"
- "os"
"strings"
"testing"
"time"
@@ -70,7 +69,7 @@ func TestJSONHandler(t *testing.T) {
}
func BenchmarkTraceLogging(b *testing.B) {
- SetDefault(NewLogger(NewTerminalHandler(os.Stderr, true)))
+ SetDefault(NewLogger(NewTerminalHandler(io.Discard, true)))
b.ResetTimer()
for i := 0; i < b.N; i++ {
Trace("a message", "v", i)
diff --git a/go-ethereum/log/root.go b/go-ethereum/log/root.go
index 91209c46..c09a36b1 100644
--- a/go-ethereum/log/root.go
+++ b/go-ethereum/log/root.go
@@ -3,18 +3,24 @@ package log
import (
"log/slog"
"os"
- "sync/atomic"
+ "sync"
)
-var root atomic.Value
+var (
+ rootLock sync.RWMutex
+ root Logger
+)
func init() {
- root.Store(&logger{slog.New(DiscardHandler())})
+ root = &logger{slog.New(DiscardHandler())}
}
// SetDefault sets the default global logger
func SetDefault(l Logger) {
- root.Store(l)
+ rootLock.Lock()
+ defer rootLock.Unlock()
+
+ root = l
if lg, ok := l.(*logger); ok {
slog.SetDefault(lg.inner)
}
@@ -22,7 +28,10 @@ func SetDefault(l Logger) {
// Root returns the root logger
func Root() Logger {
- return root.Load().(Logger)
+ rootLock.RLock()
+ defer rootLock.RUnlock()
+
+ return root
}
// The following functions bypass the exported logger methods (logger.Debug,
diff --git a/go-ethereum/log/root_test.go b/go-ethereum/log/root_test.go
new file mode 100644
index 00000000..b9b22af6
--- /dev/null
+++ b/go-ethereum/log/root_test.go
@@ -0,0 +1,19 @@
+package log
+
+import (
+ "testing"
+)
+
+// SetDefault should properly set the default logger when custom loggers are
+// provided.
+func TestSetDefaultCustomLogger(t *testing.T) {
+ type customLogger struct {
+ Logger // Implement the Logger interface
+ }
+
+ customLog := &customLogger{}
+ SetDefault(customLog)
+ if Root() != customLog {
+ t.Error("expected custom logger to be set as default")
+ }
+}
diff --git a/go-ethereum/p2p/server.go b/go-ethereum/p2p/server.go
new file mode 100644
index 00000000..cde2b5bf
--- /dev/null
+++ b/go-ethereum/p2p/server.go
@@ -0,0 +1,33 @@
+// Copyright 2014 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+// Package p2p implements the Ethereum p2p network protocols.
+package p2p
+
+// NodeInfo represents a short summary of the information known about the host.
+type NodeInfo struct {
+ ID string `json:"id"` // Unique node identifier (also the encryption key)
+ Name string `json:"name"` // Name of the node, including client type, version, OS, custom data
+ Enode string `json:"enode"` // Enode URL for adding this peer from remote peers
+ ENR string `json:"enr"` // Ethereum Node Record
+ IP string `json:"ip"` // IP address of the node
+ Ports struct {
+ Discovery int `json:"discovery"` // UDP listening port for discovery protocol
+ Listener int `json:"listener"` // TCP listening port for RLPx
+ } `json:"ports"`
+ ListenAddr string `json:"listenAddr"`
+ Protocols map[string]interface{} `json:"protocols"`
+}
diff --git a/go-ethereum/params/bootnodes.go b/go-ethereum/params/bootnodes.go
new file mode 100644
index 00000000..0cb2ee54
--- /dev/null
+++ b/go-ethereum/params/bootnodes.go
@@ -0,0 +1,102 @@
+// Copyright 2015 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package params
+
+import "github.com/0xsequence/ethkit/go-ethereum/common"
+
+// MainnetBootnodes are the enode URLs of the P2P bootstrap nodes running on
+// the main Ethereum network.
+var MainnetBootnodes = []string{
+ // Ethereum Foundation Go Bootnodes
+ "enode://d860a01f9722d78051619d1e2351aba3f43f943f6f00718d1b9baa4101932a1f5011f16bb2b1bb35db20d6fe28fa0bf09636d26a87d31de9ec6203eeedb1f666@18.138.108.67:30303", // bootnode-aws-ap-southeast-1-001
+ "enode://22a8232c3abc76a16ae9d6c3b164f98775fe226f0917b0ca871128a74a8e9630b458460865bab457221f1d448dd9791d24c4e5d88786180ac185df813a68d4de@3.209.45.79:30303", // bootnode-aws-us-east-1-001
+ "enode://2b252ab6a1d0f971d9722cb839a42cb81db019ba44c08754628ab4a823487071b5695317c8ccd085219c3a03af063495b2f1da8d18218da2d6a82981b45e6ffc@65.108.70.101:30303", // bootnode-hetzner-hel
+ "enode://4aeb4ab6c14b23e2c4cfdce879c04b0748a20d8e9b59e25ded2a08143e265c6c25936e74cbc8e641e3312ca288673d91f2f93f8e277de3cfa444ecdaaf982052@157.90.35.166:30303", // bootnode-hetzner-fsn
+}
+
+// HoodiBootnodes are the enode URLs of the P2P bootstrap nodes running on the
+// Hoodi test network.
+var HoodiBootnodes = []string{
+ // EF DevOps
+ "enode://2112dd3839dd752813d4df7f40936f06829fc54c0e051a93967c26e5f5d27d99d886b57b4ffcc3c475e930ec9e79c56ef1dbb7d86ca5ee83a9d2ccf36e5c240c@134.209.138.84:30303",
+ "enode://60203fcb3524e07c5df60a14ae1c9c5b24023ea5d47463dfae051d2c9f3219f309657537576090ca0ae641f73d419f53d8e8000d7a464319d4784acd7d2abc41@209.38.124.160:30303",
+ "enode://8ae4a48101b2299597341263da0deb47cc38aa4d3ef4b7430b897d49bfa10eb1ccfe1655679b1ed46928ef177fbf21b86837bd724400196c508427a6f41602cd@134.199.184.23:30303",
+}
+
+// HoleskyBootnodes are the enode URLs of the P2P bootstrap nodes running on the
+// Holesky test network.
+var HoleskyBootnodes = []string{
+ // EF DevOps
+ "enode://ac906289e4b7f12df423d654c5a962b6ebe5b3a74cc9e06292a85221f9a64a6f1cfdd6b714ed6dacef51578f92b34c60ee91e9ede9c7f8fadc4d347326d95e2b@146.190.13.128:30303",
+ "enode://a3435a0155a3e837c02f5e7f5662a2f1fbc25b48e4dc232016e1c51b544cb5b4510ef633ea3278c0e970fa8ad8141e2d4d0f9f95456c537ff05fdf9b31c15072@178.128.136.233:30303",
+}
+
+// SepoliaBootnodes are the enode URLs of the P2P bootstrap nodes running on the
+// Sepolia test network.
+var SepoliaBootnodes = []string{
+ // EF DevOps
+ "enode://4e5e92199ee224a01932a377160aa432f31d0b351f84ab413a8e0a42f4f36476f8fb1cbe914af0d9aef0d51665c214cf653c651c4bbd9d5550a934f241f1682b@138.197.51.181:30303", // sepolia-bootnode-1-nyc3
+ "enode://143e11fb766781d22d92a2e33f8f104cddae4411a122295ed1fdb6638de96a6ce65f5b7c964ba3763bba27961738fef7d3ecc739268f3e5e771fb4c87b6234ba@146.190.1.103:30303", // sepolia-bootnode-1-sfo3
+ "enode://8b61dc2d06c3f96fddcbebb0efb29d60d3598650275dc469c22229d3e5620369b0d3dedafd929835fe7f489618f19f456fe7c0df572bf2d914a9f4e006f783a9@170.64.250.88:30303", // sepolia-bootnode-1-syd1
+ "enode://10d62eff032205fcef19497f35ca8477bea0eadfff6d769a147e895d8b2b8f8ae6341630c645c30f5df6e67547c03494ced3d9c5764e8622a26587b083b028e8@139.59.49.206:30303", // sepolia-bootnode-1-blr1
+ "enode://9e9492e2e8836114cc75f5b929784f4f46c324ad01daf87d956f98b3b6c5fcba95524d6e5cf9861dc96a2c8a171ea7105bb554a197455058de185fa870970c7c@138.68.123.152:30303", // sepolia-bootnode-1-ams3
+}
+
+var V5Bootnodes = []string{
+ // Teku team's bootnode
+ "enr:-KG4QMOEswP62yzDjSwWS4YEjtTZ5PO6r65CPqYBkgTTkrpaedQ8uEUo1uMALtJIvb2w_WWEVmg5yt1UAuK1ftxUU7QDhGV0aDKQu6TalgMAAAD__________4JpZIJ2NIJpcIQEnfA2iXNlY3AyNTZrMaEDfol8oLr6XJ7FsdAYE7lpJhKMls4G_v6qQOGKJUWGb_uDdGNwgiMog3VkcIIjKA", // # 4.157.240.54 | azure-us-east-virginia
+ "enr:-KG4QF4B5WrlFcRhUU6dZETwY5ZzAXnA0vGC__L1Kdw602nDZwXSTs5RFXFIFUnbQJmhNGVU6OIX7KVrCSTODsz1tK4DhGV0aDKQu6TalgMAAAD__________4JpZIJ2NIJpcIQExNYEiXNlY3AyNTZrMaECQmM9vp7KhaXhI-nqL_R0ovULLCFSFTa9CPPSdb1zPX6DdGNwgiMog3VkcIIjKA", // 4.196.214.4 | azure-au-east-sydney
+ // Prylab team's bootnodes
+ "enr:-Ku4QImhMc1z8yCiNJ1TyUxdcfNucje3BGwEHzodEZUan8PherEo4sF7pPHPSIB1NNuSg5fZy7qFsjmUKs2ea1Whi0EBh2F0dG5ldHOIAAAAAAAAAACEZXRoMpD1pf1CAAAAAP__________gmlkgnY0gmlwhBLf22SJc2VjcDI1NmsxoQOVphkDqal4QzPMksc5wnpuC3gvSC8AfbFOnZY_On34wIN1ZHCCIyg", // 18.223.219.100 | aws-us-east-2-ohio
+ "enr:-Ku4QP2xDnEtUXIjzJ_DhlCRN9SN99RYQPJL92TMlSv7U5C1YnYLjwOQHgZIUXw6c-BvRg2Yc2QsZxxoS_pPRVe0yK8Bh2F0dG5ldHOIAAAAAAAAAACEZXRoMpD1pf1CAAAAAP__________gmlkgnY0gmlwhBLf22SJc2VjcDI1NmsxoQMeFF5GrS7UZpAH2Ly84aLK-TyvH-dRo0JM1i8yygH50YN1ZHCCJxA", // 18.223.219.100 | aws-us-east-2-ohio
+ "enr:-Ku4QPp9z1W4tAO8Ber_NQierYaOStqhDqQdOPY3bB3jDgkjcbk6YrEnVYIiCBbTxuar3CzS528d2iE7TdJsrL-dEKoBh2F0dG5ldHOIAAAAAAAAAACEZXRoMpD1pf1CAAAAAP__________gmlkgnY0gmlwhBLf22SJc2VjcDI1NmsxoQMw5fqqkw2hHC4F5HZZDPsNmPdB1Gi8JPQK7pRc9XHh-oN1ZHCCKvg", // 18.223.219.100 | aws-us-east-2-ohio
+ // Lighthouse team's bootnodes
+ "enr:-Le4QPUXJS2BTORXxyx2Ia-9ae4YqA_JWX3ssj4E_J-3z1A-HmFGrU8BpvpqhNabayXeOZ2Nq_sbeDgtzMJpLLnXFgAChGV0aDKQtTA_KgEAAAAAIgEAAAAAAIJpZIJ2NIJpcISsaa0Zg2lwNpAkAIkHAAAAAPA8kv_-awoTiXNlY3AyNTZrMaEDHAD2JKYevx89W0CcFJFiskdcEzkH_Wdv9iW42qLK79ODdWRwgiMohHVkcDaCI4I", // 172.105.173.25 | linode-au-sydney
+ "enr:-Le4QLHZDSvkLfqgEo8IWGG96h6mxwe_PsggC20CL3neLBjfXLGAQFOPSltZ7oP6ol54OvaNqO02Rnvb8YmDR274uq8ChGV0aDKQtTA_KgEAAAAAIgEAAAAAAIJpZIJ2NIJpcISLosQxg2lwNpAqAX4AAAAAAPA8kv_-ax65iXNlY3AyNTZrMaEDBJj7_dLFACaxBfaI8KZTh_SSJUjhyAyfshimvSqo22WDdWRwgiMohHVkcDaCI4I", // 139.162.196.49 | linode-uk-london
+ "enr:-Le4QH6LQrusDbAHPjU_HcKOuMeXfdEB5NJyXgHWFadfHgiySqeDyusQMvfphdYWOzuSZO9Uq2AMRJR5O4ip7OvVma8BhGV0aDKQtTA_KgEAAAAAIgEAAAAAAIJpZIJ2NIJpcISLY9ncg2lwNpAkAh8AgQIBAAAAAAAAAAmXiXNlY3AyNTZrMaECDYCZTZEksF-kmgPholqgVt8IXr-8L7Nu7YrZ7HUpgxmDdWRwgiMohHVkcDaCI4I", // 139.99.217.220 | ovh-au-sydney
+ "enr:-Le4QIqLuWybHNONr933Lk0dcMmAB5WgvGKRyDihy1wHDIVlNuuztX62W51voT4I8qD34GcTEOTmag1bcdZ_8aaT4NUBhGV0aDKQtTA_KgEAAAAAIgEAAAAAAIJpZIJ2NIJpcISLY04ng2lwNpAkAh8AgAIBAAAAAAAAAA-fiXNlY3AyNTZrMaEDscnRV6n1m-D9ID5UsURk0jsoKNXt1TIrj8uKOGW6iluDdWRwgiMohHVkcDaCI4I", // 139.99.78.39 | ovh-singapore
+ // EF bootnodes
+ "enr:-Ku4QHqVeJ8PPICcWk1vSn_XcSkjOkNiTg6Fmii5j6vUQgvzMc9L1goFnLKgXqBJspJjIsB91LTOleFmyWWrFVATGngBh2F0dG5ldHOIAAAAAAAAAACEZXRoMpC1MD8qAAAAAP__________gmlkgnY0gmlwhAMRHkWJc2VjcDI1NmsxoQKLVXFOhp2uX6jeT0DvvDpPcU8FWMjQdR4wMuORMhpX24N1ZHCCIyg", // 3.17.30.69 | aws-us-east-2-ohio
+ "enr:-Ku4QG-2_Md3sZIAUebGYT6g0SMskIml77l6yR-M_JXc-UdNHCmHQeOiMLbylPejyJsdAPsTHJyjJB2sYGDLe0dn8uYBh2F0dG5ldHOIAAAAAAAAAACEZXRoMpC1MD8qAAAAAP__________gmlkgnY0gmlwhBLY-NyJc2VjcDI1NmsxoQORcM6e19T1T9gi7jxEZjk_sjVLGFscUNqAY9obgZaxbIN1ZHCCIyg", // 18.216.248.220 | aws-us-east-2-ohio
+ "enr:-Ku4QPn5eVhcoF1opaFEvg1b6JNFD2rqVkHQ8HApOKK61OIcIXD127bKWgAtbwI7pnxx6cDyk_nI88TrZKQaGMZj0q0Bh2F0dG5ldHOIAAAAAAAAAACEZXRoMpC1MD8qAAAAAP__________gmlkgnY0gmlwhDayLMaJc2VjcDI1NmsxoQK2sBOLGcUb4AwuYzFuAVCaNHA-dy24UuEKkeFNgCVCsIN1ZHCCIyg", // 54.178.44.198 | aws-ap-northeast-1-tokyo
+ "enr:-Ku4QEWzdnVtXc2Q0ZVigfCGggOVB2Vc1ZCPEc6j21NIFLODSJbvNaef1g4PxhPwl_3kax86YPheFUSLXPRs98vvYsoBh2F0dG5ldHOIAAAAAAAAAACEZXRoMpC1MD8qAAAAAP__________gmlkgnY0gmlwhDZBrP2Jc2VjcDI1NmsxoQM6jr8Rb1ktLEsVcKAPa08wCsKUmvoQ8khiOl_SLozf9IN1ZHCCIyg", // 54.65.172.253 | aws-ap-northeast-1-tokyo
+ // Nimbus team's bootnodes
+ "enr:-LK4QA8FfhaAjlb_BXsXxSfiysR7R52Nhi9JBt4F8SPssu8hdE1BXQQEtVDC3qStCW60LSO7hEsVHv5zm8_6Vnjhcn0Bh2F0dG5ldHOIAAAAAAAAAACEZXRoMpC1MD8qAAAAAP__________gmlkgnY0gmlwhAN4aBKJc2VjcDI1NmsxoQJerDhsJ-KxZ8sHySMOCmTO6sHM3iCFQ6VMvLTe948MyYN0Y3CCI4yDdWRwgiOM", // 3.120.104.18 | aws-eu-central-1-frankfurt
+ "enr:-LK4QKWrXTpV9T78hNG6s8AM6IO4XH9kFT91uZtFg1GcsJ6dKovDOr1jtAAFPnS2lvNltkOGA9k29BUN7lFh_sjuc9QBh2F0dG5ldHOIAAAAAAAAAACEZXRoMpC1MD8qAAAAAP__________gmlkgnY0gmlwhANAdd-Jc2VjcDI1NmsxoQLQa6ai7y9PMN5hpLe5HmiJSlYzMuzP7ZhwRiwHvqNXdoN0Y3CCI4yDdWRwgiOM", // 3.64.117.223 | aws-eu-central-1-frankfurt}
+}
+
+const dnsPrefix = "enrtree://AKA3AM6LPBYEUDMVNU3BSVQJ5AD45Y7YPOHJLEF6W26QOE4VTUDPE@"
+
+// KnownDNSNetwork returns the address of a public DNS-based node list for the given
+// genesis hash and protocol. See https://github.com/ethereum/discv4-dns-lists for more
+// information.
+func KnownDNSNetwork(genesis common.Hash, protocol string) string {
+ var net string
+ switch genesis {
+ case MainnetGenesisHash:
+ net = "mainnet"
+ case SepoliaGenesisHash:
+ net = "sepolia"
+ case HoleskyGenesisHash:
+ net = "holesky"
+ case HoodiGenesisHash:
+ net = "hoodi"
+ default:
+ return ""
+ }
+ return dnsPrefix + protocol + "." + net + ".ethdisco.net"
+}
diff --git a/go-ethereum/params/config.go b/go-ethereum/params/config.go
index fba3577f..d08b0089 100644
--- a/go-ethereum/params/config.go
+++ b/go-ethereum/params/config.go
@@ -17,7 +17,9 @@
package params
import (
+ "errors"
"fmt"
+ "math"
"math/big"
"github.com/0xsequence/ethkit/go-ethereum/common"
@@ -29,7 +31,7 @@ var (
MainnetGenesisHash = common.HexToHash("0xd4e56740f876aef8c010b86a40d5f56745a118d0906a34e69aec8c0db1cb8fa3")
HoleskyGenesisHash = common.HexToHash("0xb5f7f912443c940f21fd611f12828d75b534364ed9e95ca4e307729a4661bde4")
SepoliaGenesisHash = common.HexToHash("0x25a5cc106eea7138acab33231d7160d69cb777ee0c2c553fcddf5138993e6dd9")
- GoerliGenesisHash = common.HexToHash("0xbf7e331f7f7c1dd2e05159666b3bf8bc7a8a3a9eb1d518969eab529dd9b88c1a")
+ HoodiGenesisHash = common.HexToHash("0xbbe312868b376a3001692a646dd2d7d1e4406380dfd86b98aa8a34d1557c971b")
)
func newUint64(val uint64) *uint64 { return &val }
@@ -39,283 +41,337 @@ var (
// MainnetChainConfig is the chain parameters to run a node on the main network.
MainnetChainConfig = &ChainConfig{
- ChainID: big.NewInt(1),
- HomesteadBlock: big.NewInt(1_150_000),
- DAOForkBlock: big.NewInt(1_920_000),
- DAOForkSupport: true,
- EIP150Block: big.NewInt(2_463_000),
- EIP155Block: big.NewInt(2_675_000),
- EIP158Block: big.NewInt(2_675_000),
- ByzantiumBlock: big.NewInt(4_370_000),
- ConstantinopleBlock: big.NewInt(7_280_000),
- PetersburgBlock: big.NewInt(7_280_000),
- IstanbulBlock: big.NewInt(9_069_000),
- MuirGlacierBlock: big.NewInt(9_200_000),
- BerlinBlock: big.NewInt(12_244_000),
- LondonBlock: big.NewInt(12_965_000),
- ArrowGlacierBlock: big.NewInt(13_773_000),
- GrayGlacierBlock: big.NewInt(15_050_000),
- TerminalTotalDifficulty: MainnetTerminalTotalDifficulty, // 58_750_000_000_000_000_000_000
- TerminalTotalDifficultyPassed: true,
- ShanghaiTime: newUint64(1681338455),
- CancunTime: newUint64(1710338135),
- Ethash: new(EthashConfig),
+ ChainID: big.NewInt(1),
+ HomesteadBlock: big.NewInt(1_150_000),
+ DAOForkBlock: big.NewInt(1_920_000),
+ DAOForkSupport: true,
+ EIP150Block: big.NewInt(2_463_000),
+ EIP155Block: big.NewInt(2_675_000),
+ EIP158Block: big.NewInt(2_675_000),
+ ByzantiumBlock: big.NewInt(4_370_000),
+ ConstantinopleBlock: big.NewInt(7_280_000),
+ PetersburgBlock: big.NewInt(7_280_000),
+ IstanbulBlock: big.NewInt(9_069_000),
+ MuirGlacierBlock: big.NewInt(9_200_000),
+ BerlinBlock: big.NewInt(12_244_000),
+ LondonBlock: big.NewInt(12_965_000),
+ ArrowGlacierBlock: big.NewInt(13_773_000),
+ GrayGlacierBlock: big.NewInt(15_050_000),
+ TerminalTotalDifficulty: MainnetTerminalTotalDifficulty, // 58_750_000_000_000_000_000_000
+ ShanghaiTime: newUint64(1681338455),
+ CancunTime: newUint64(1710338135),
+ PragueTime: newUint64(1746612311),
+ DepositContractAddress: common.HexToAddress("0x00000000219ab540356cbb839cbe05303d7705fa"),
+ Ethash: new(EthashConfig),
+ BlobScheduleConfig: &BlobScheduleConfig{
+ Cancun: DefaultCancunBlobConfig,
+ Prague: DefaultPragueBlobConfig,
+ },
}
// HoleskyChainConfig contains the chain parameters to run a node on the Holesky test network.
HoleskyChainConfig = &ChainConfig{
- ChainID: big.NewInt(17000),
- HomesteadBlock: big.NewInt(0),
- DAOForkBlock: nil,
- DAOForkSupport: true,
- EIP150Block: big.NewInt(0),
- EIP155Block: big.NewInt(0),
- EIP158Block: big.NewInt(0),
- ByzantiumBlock: big.NewInt(0),
- ConstantinopleBlock: big.NewInt(0),
- PetersburgBlock: big.NewInt(0),
- IstanbulBlock: big.NewInt(0),
- MuirGlacierBlock: nil,
- BerlinBlock: big.NewInt(0),
- LondonBlock: big.NewInt(0),
- ArrowGlacierBlock: nil,
- GrayGlacierBlock: nil,
- TerminalTotalDifficulty: big.NewInt(0),
- TerminalTotalDifficultyPassed: true,
- MergeNetsplitBlock: nil,
- ShanghaiTime: newUint64(1696000704),
- CancunTime: newUint64(1707305664),
- Ethash: new(EthashConfig),
+ ChainID: big.NewInt(17000),
+ HomesteadBlock: big.NewInt(0),
+ DAOForkBlock: nil,
+ DAOForkSupport: true,
+ EIP150Block: big.NewInt(0),
+ EIP155Block: big.NewInt(0),
+ EIP158Block: big.NewInt(0),
+ ByzantiumBlock: big.NewInt(0),
+ ConstantinopleBlock: big.NewInt(0),
+ PetersburgBlock: big.NewInt(0),
+ IstanbulBlock: big.NewInt(0),
+ MuirGlacierBlock: nil,
+ BerlinBlock: big.NewInt(0),
+ LondonBlock: big.NewInt(0),
+ ArrowGlacierBlock: nil,
+ GrayGlacierBlock: nil,
+ TerminalTotalDifficulty: big.NewInt(0),
+ MergeNetsplitBlock: nil,
+ ShanghaiTime: newUint64(1696000704),
+ CancunTime: newUint64(1707305664),
+ PragueTime: newUint64(1740434112),
+ DepositContractAddress: common.HexToAddress("0x4242424242424242424242424242424242424242"),
+ Ethash: new(EthashConfig),
+ BlobScheduleConfig: &BlobScheduleConfig{
+ Cancun: DefaultCancunBlobConfig,
+ Prague: DefaultPragueBlobConfig,
+ },
}
// SepoliaChainConfig contains the chain parameters to run a node on the Sepolia test network.
SepoliaChainConfig = &ChainConfig{
- ChainID: big.NewInt(11155111),
- HomesteadBlock: big.NewInt(0),
- DAOForkBlock: nil,
- DAOForkSupport: true,
- EIP150Block: big.NewInt(0),
- EIP155Block: big.NewInt(0),
- EIP158Block: big.NewInt(0),
- ByzantiumBlock: big.NewInt(0),
- ConstantinopleBlock: big.NewInt(0),
- PetersburgBlock: big.NewInt(0),
- IstanbulBlock: big.NewInt(0),
- MuirGlacierBlock: big.NewInt(0),
- BerlinBlock: big.NewInt(0),
- LondonBlock: big.NewInt(0),
- ArrowGlacierBlock: nil,
- GrayGlacierBlock: nil,
- TerminalTotalDifficulty: big.NewInt(17_000_000_000_000_000),
- TerminalTotalDifficultyPassed: true,
- MergeNetsplitBlock: big.NewInt(1735371),
- ShanghaiTime: newUint64(1677557088),
- CancunTime: newUint64(1706655072),
- Ethash: new(EthashConfig),
- }
- // GoerliChainConfig contains the chain parameters to run a node on the Görli test network.
- GoerliChainConfig = &ChainConfig{
- ChainID: big.NewInt(5),
- HomesteadBlock: big.NewInt(0),
- DAOForkBlock: nil,
- DAOForkSupport: true,
- EIP150Block: big.NewInt(0),
- EIP155Block: big.NewInt(0),
- EIP158Block: big.NewInt(0),
- ByzantiumBlock: big.NewInt(0),
- ConstantinopleBlock: big.NewInt(0),
- PetersburgBlock: big.NewInt(0),
- IstanbulBlock: big.NewInt(1_561_651),
- MuirGlacierBlock: nil,
- BerlinBlock: big.NewInt(4_460_644),
- LondonBlock: big.NewInt(5_062_605),
- ArrowGlacierBlock: nil,
- TerminalTotalDifficulty: big.NewInt(10_790_000),
- TerminalTotalDifficultyPassed: true,
- ShanghaiTime: newUint64(1678832736),
- CancunTime: newUint64(1705473120),
- Clique: &CliqueConfig{
- Period: 15,
- Epoch: 30000,
+ ChainID: big.NewInt(11155111),
+ HomesteadBlock: big.NewInt(0),
+ DAOForkBlock: nil,
+ DAOForkSupport: true,
+ EIP150Block: big.NewInt(0),
+ EIP155Block: big.NewInt(0),
+ EIP158Block: big.NewInt(0),
+ ByzantiumBlock: big.NewInt(0),
+ ConstantinopleBlock: big.NewInt(0),
+ PetersburgBlock: big.NewInt(0),
+ IstanbulBlock: big.NewInt(0),
+ MuirGlacierBlock: big.NewInt(0),
+ BerlinBlock: big.NewInt(0),
+ LondonBlock: big.NewInt(0),
+ ArrowGlacierBlock: nil,
+ GrayGlacierBlock: nil,
+ TerminalTotalDifficulty: big.NewInt(17_000_000_000_000_000),
+ MergeNetsplitBlock: big.NewInt(1735371),
+ ShanghaiTime: newUint64(1677557088),
+ CancunTime: newUint64(1706655072),
+ PragueTime: newUint64(1741159776),
+ DepositContractAddress: common.HexToAddress("0x7f02c3e3c98b133055b8b348b2ac625669ed295d"),
+ Ethash: new(EthashConfig),
+ BlobScheduleConfig: &BlobScheduleConfig{
+ Cancun: DefaultCancunBlobConfig,
+ Prague: DefaultPragueBlobConfig,
+ },
+ }
+ // HoodiChainConfig contains the chain parameters to run a node on the Hoodi test network.
+ HoodiChainConfig = &ChainConfig{
+ ChainID: big.NewInt(560048),
+ HomesteadBlock: big.NewInt(0),
+ DAOForkBlock: nil,
+ DAOForkSupport: true,
+ EIP150Block: big.NewInt(0),
+ EIP155Block: big.NewInt(0),
+ EIP158Block: big.NewInt(0),
+ ByzantiumBlock: big.NewInt(0),
+ ConstantinopleBlock: big.NewInt(0),
+ PetersburgBlock: big.NewInt(0),
+ IstanbulBlock: big.NewInt(0),
+ MuirGlacierBlock: big.NewInt(0),
+ BerlinBlock: big.NewInt(0),
+ LondonBlock: big.NewInt(0),
+ ArrowGlacierBlock: nil,
+ GrayGlacierBlock: nil,
+ TerminalTotalDifficulty: big.NewInt(0),
+ MergeNetsplitBlock: big.NewInt(0),
+ ShanghaiTime: newUint64(0),
+ CancunTime: newUint64(0),
+ PragueTime: newUint64(1742999832),
+ DepositContractAddress: common.HexToAddress("0x00000000219ab540356cBB839Cbe05303d7705Fa"),
+ Ethash: new(EthashConfig),
+ BlobScheduleConfig: &BlobScheduleConfig{
+ Cancun: DefaultCancunBlobConfig,
+ Prague: DefaultPragueBlobConfig,
},
}
// AllEthashProtocolChanges contains every protocol change (EIPs) introduced
// and accepted by the Ethereum core developers into the Ethash consensus.
AllEthashProtocolChanges = &ChainConfig{
- ChainID: big.NewInt(1337),
- HomesteadBlock: big.NewInt(0),
- DAOForkBlock: nil,
- DAOForkSupport: false,
- EIP150Block: big.NewInt(0),
- EIP155Block: big.NewInt(0),
- EIP158Block: big.NewInt(0),
- ByzantiumBlock: big.NewInt(0),
- ConstantinopleBlock: big.NewInt(0),
- PetersburgBlock: big.NewInt(0),
- IstanbulBlock: big.NewInt(0),
- MuirGlacierBlock: big.NewInt(0),
- BerlinBlock: big.NewInt(0),
- LondonBlock: big.NewInt(0),
- ArrowGlacierBlock: big.NewInt(0),
- GrayGlacierBlock: big.NewInt(0),
- MergeNetsplitBlock: nil,
- ShanghaiTime: nil,
- CancunTime: nil,
- PragueTime: nil,
- VerkleTime: nil,
- TerminalTotalDifficulty: nil,
- TerminalTotalDifficultyPassed: true,
- Ethash: new(EthashConfig),
- Clique: nil,
+ ChainID: big.NewInt(1337),
+ HomesteadBlock: big.NewInt(0),
+ DAOForkBlock: nil,
+ DAOForkSupport: false,
+ EIP150Block: big.NewInt(0),
+ EIP155Block: big.NewInt(0),
+ EIP158Block: big.NewInt(0),
+ ByzantiumBlock: big.NewInt(0),
+ ConstantinopleBlock: big.NewInt(0),
+ PetersburgBlock: big.NewInt(0),
+ IstanbulBlock: big.NewInt(0),
+ MuirGlacierBlock: big.NewInt(0),
+ BerlinBlock: big.NewInt(0),
+ LondonBlock: big.NewInt(0),
+ ArrowGlacierBlock: big.NewInt(0),
+ GrayGlacierBlock: big.NewInt(0),
+ TerminalTotalDifficulty: big.NewInt(math.MaxInt64),
+ MergeNetsplitBlock: nil,
+ ShanghaiTime: nil,
+ CancunTime: nil,
+ PragueTime: nil,
+ OsakaTime: nil,
+ VerkleTime: nil,
+ Ethash: new(EthashConfig),
+ Clique: nil,
}
AllDevChainProtocolChanges = &ChainConfig{
- ChainID: big.NewInt(1337),
- HomesteadBlock: big.NewInt(0),
- EIP150Block: big.NewInt(0),
- EIP155Block: big.NewInt(0),
- EIP158Block: big.NewInt(0),
- ByzantiumBlock: big.NewInt(0),
- ConstantinopleBlock: big.NewInt(0),
- PetersburgBlock: big.NewInt(0),
- IstanbulBlock: big.NewInt(0),
- MuirGlacierBlock: big.NewInt(0),
- BerlinBlock: big.NewInt(0),
- LondonBlock: big.NewInt(0),
- ArrowGlacierBlock: big.NewInt(0),
- GrayGlacierBlock: big.NewInt(0),
- ShanghaiTime: newUint64(0),
- CancunTime: newUint64(0),
- TerminalTotalDifficulty: big.NewInt(0),
- TerminalTotalDifficultyPassed: true,
+ ChainID: big.NewInt(1337),
+ HomesteadBlock: big.NewInt(0),
+ EIP150Block: big.NewInt(0),
+ EIP155Block: big.NewInt(0),
+ EIP158Block: big.NewInt(0),
+ ByzantiumBlock: big.NewInt(0),
+ ConstantinopleBlock: big.NewInt(0),
+ PetersburgBlock: big.NewInt(0),
+ IstanbulBlock: big.NewInt(0),
+ MuirGlacierBlock: big.NewInt(0),
+ BerlinBlock: big.NewInt(0),
+ LondonBlock: big.NewInt(0),
+ ArrowGlacierBlock: big.NewInt(0),
+ GrayGlacierBlock: big.NewInt(0),
+ ShanghaiTime: newUint64(0),
+ CancunTime: newUint64(0),
+ TerminalTotalDifficulty: big.NewInt(0),
+ PragueTime: newUint64(0),
+ BlobScheduleConfig: &BlobScheduleConfig{
+ Cancun: DefaultCancunBlobConfig,
+ Prague: DefaultPragueBlobConfig,
+ },
}
// AllCliqueProtocolChanges contains every protocol change (EIPs) introduced
// and accepted by the Ethereum core developers into the Clique consensus.
AllCliqueProtocolChanges = &ChainConfig{
- ChainID: big.NewInt(1337),
- HomesteadBlock: big.NewInt(0),
- DAOForkBlock: nil,
- DAOForkSupport: false,
- EIP150Block: big.NewInt(0),
- EIP155Block: big.NewInt(0),
- EIP158Block: big.NewInt(0),
- ByzantiumBlock: big.NewInt(0),
- ConstantinopleBlock: big.NewInt(0),
- PetersburgBlock: big.NewInt(0),
- IstanbulBlock: big.NewInt(0),
- MuirGlacierBlock: big.NewInt(0),
- BerlinBlock: big.NewInt(0),
- LondonBlock: big.NewInt(0),
- ArrowGlacierBlock: nil,
- GrayGlacierBlock: nil,
- MergeNetsplitBlock: nil,
- ShanghaiTime: nil,
- CancunTime: nil,
- PragueTime: nil,
- VerkleTime: nil,
- TerminalTotalDifficulty: nil,
- TerminalTotalDifficultyPassed: false,
- Ethash: nil,
- Clique: &CliqueConfig{Period: 0, Epoch: 30000},
+ ChainID: big.NewInt(1337),
+ HomesteadBlock: big.NewInt(0),
+ DAOForkBlock: nil,
+ DAOForkSupport: false,
+ EIP150Block: big.NewInt(0),
+ EIP155Block: big.NewInt(0),
+ EIP158Block: big.NewInt(0),
+ ByzantiumBlock: big.NewInt(0),
+ ConstantinopleBlock: big.NewInt(0),
+ PetersburgBlock: big.NewInt(0),
+ IstanbulBlock: big.NewInt(0),
+ MuirGlacierBlock: big.NewInt(0),
+ BerlinBlock: big.NewInt(0),
+ LondonBlock: big.NewInt(0),
+ ArrowGlacierBlock: nil,
+ GrayGlacierBlock: nil,
+ MergeNetsplitBlock: nil,
+ ShanghaiTime: nil,
+ CancunTime: nil,
+ PragueTime: nil,
+ OsakaTime: nil,
+ VerkleTime: nil,
+ TerminalTotalDifficulty: big.NewInt(math.MaxInt64),
+ Ethash: nil,
+ Clique: &CliqueConfig{Period: 0, Epoch: 30000},
}
// TestChainConfig contains every protocol change (EIPs) introduced
// and accepted by the Ethereum core developers for testing purposes.
TestChainConfig = &ChainConfig{
- ChainID: big.NewInt(1),
- HomesteadBlock: big.NewInt(0),
- DAOForkBlock: nil,
- DAOForkSupport: false,
- EIP150Block: big.NewInt(0),
- EIP155Block: big.NewInt(0),
- EIP158Block: big.NewInt(0),
- ByzantiumBlock: big.NewInt(0),
- ConstantinopleBlock: big.NewInt(0),
- PetersburgBlock: big.NewInt(0),
- IstanbulBlock: big.NewInt(0),
- MuirGlacierBlock: big.NewInt(0),
- BerlinBlock: big.NewInt(0),
- LondonBlock: big.NewInt(0),
- ArrowGlacierBlock: big.NewInt(0),
- GrayGlacierBlock: big.NewInt(0),
- MergeNetsplitBlock: nil,
- ShanghaiTime: nil,
- CancunTime: nil,
- PragueTime: nil,
- VerkleTime: nil,
- TerminalTotalDifficulty: nil,
- TerminalTotalDifficultyPassed: false,
- Ethash: new(EthashConfig),
- Clique: nil,
+ ChainID: big.NewInt(1),
+ HomesteadBlock: big.NewInt(0),
+ DAOForkBlock: nil,
+ DAOForkSupport: false,
+ EIP150Block: big.NewInt(0),
+ EIP155Block: big.NewInt(0),
+ EIP158Block: big.NewInt(0),
+ ByzantiumBlock: big.NewInt(0),
+ ConstantinopleBlock: big.NewInt(0),
+ PetersburgBlock: big.NewInt(0),
+ IstanbulBlock: big.NewInt(0),
+ MuirGlacierBlock: big.NewInt(0),
+ BerlinBlock: big.NewInt(0),
+ LondonBlock: big.NewInt(0),
+ ArrowGlacierBlock: big.NewInt(0),
+ GrayGlacierBlock: big.NewInt(0),
+ MergeNetsplitBlock: nil,
+ ShanghaiTime: nil,
+ CancunTime: nil,
+ PragueTime: nil,
+ OsakaTime: nil,
+ VerkleTime: nil,
+ TerminalTotalDifficulty: big.NewInt(math.MaxInt64),
+ Ethash: new(EthashConfig),
+ Clique: nil,
}
// MergedTestChainConfig contains every protocol change (EIPs) introduced
// and accepted by the Ethereum core developers for testing purposes.
MergedTestChainConfig = &ChainConfig{
- ChainID: big.NewInt(1),
- HomesteadBlock: big.NewInt(0),
- DAOForkBlock: nil,
- DAOForkSupport: false,
- EIP150Block: big.NewInt(0),
- EIP155Block: big.NewInt(0),
- EIP158Block: big.NewInt(0),
- ByzantiumBlock: big.NewInt(0),
- ConstantinopleBlock: big.NewInt(0),
- PetersburgBlock: big.NewInt(0),
- IstanbulBlock: big.NewInt(0),
- MuirGlacierBlock: big.NewInt(0),
- BerlinBlock: big.NewInt(0),
- LondonBlock: big.NewInt(0),
- ArrowGlacierBlock: big.NewInt(0),
- GrayGlacierBlock: big.NewInt(0),
- MergeNetsplitBlock: big.NewInt(0),
- ShanghaiTime: newUint64(0),
- CancunTime: newUint64(0),
- PragueTime: nil,
- VerkleTime: nil,
- TerminalTotalDifficulty: big.NewInt(0),
- TerminalTotalDifficultyPassed: true,
- Ethash: new(EthashConfig),
- Clique: nil,
+ ChainID: big.NewInt(1),
+ HomesteadBlock: big.NewInt(0),
+ DAOForkBlock: nil,
+ DAOForkSupport: false,
+ EIP150Block: big.NewInt(0),
+ EIP155Block: big.NewInt(0),
+ EIP158Block: big.NewInt(0),
+ ByzantiumBlock: big.NewInt(0),
+ ConstantinopleBlock: big.NewInt(0),
+ PetersburgBlock: big.NewInt(0),
+ IstanbulBlock: big.NewInt(0),
+ MuirGlacierBlock: big.NewInt(0),
+ BerlinBlock: big.NewInt(0),
+ LondonBlock: big.NewInt(0),
+ ArrowGlacierBlock: big.NewInt(0),
+ GrayGlacierBlock: big.NewInt(0),
+ MergeNetsplitBlock: big.NewInt(0),
+ ShanghaiTime: newUint64(0),
+ CancunTime: newUint64(0),
+ PragueTime: newUint64(0),
+ OsakaTime: nil,
+ VerkleTime: nil,
+ TerminalTotalDifficulty: big.NewInt(0),
+ Ethash: new(EthashConfig),
+ Clique: nil,
+ BlobScheduleConfig: &BlobScheduleConfig{
+ Cancun: DefaultCancunBlobConfig,
+ Prague: DefaultPragueBlobConfig,
+ },
}
// NonActivatedConfig defines the chain configuration without activating
// any protocol change (EIPs).
NonActivatedConfig = &ChainConfig{
- ChainID: big.NewInt(1),
- HomesteadBlock: nil,
- DAOForkBlock: nil,
- DAOForkSupport: false,
- EIP150Block: nil,
- EIP155Block: nil,
- EIP158Block: nil,
- ByzantiumBlock: nil,
- ConstantinopleBlock: nil,
- PetersburgBlock: nil,
- IstanbulBlock: nil,
- MuirGlacierBlock: nil,
- BerlinBlock: nil,
- LondonBlock: nil,
- ArrowGlacierBlock: nil,
- GrayGlacierBlock: nil,
- MergeNetsplitBlock: nil,
- ShanghaiTime: nil,
- CancunTime: nil,
- PragueTime: nil,
- VerkleTime: nil,
- TerminalTotalDifficulty: nil,
- TerminalTotalDifficultyPassed: false,
- Ethash: new(EthashConfig),
- Clique: nil,
+ ChainID: big.NewInt(1),
+ HomesteadBlock: nil,
+ DAOForkBlock: nil,
+ DAOForkSupport: false,
+ EIP150Block: nil,
+ EIP155Block: nil,
+ EIP158Block: nil,
+ ByzantiumBlock: nil,
+ ConstantinopleBlock: nil,
+ PetersburgBlock: nil,
+ IstanbulBlock: nil,
+ MuirGlacierBlock: nil,
+ BerlinBlock: nil,
+ LondonBlock: nil,
+ ArrowGlacierBlock: nil,
+ GrayGlacierBlock: nil,
+ MergeNetsplitBlock: nil,
+ ShanghaiTime: nil,
+ CancunTime: nil,
+ PragueTime: nil,
+ OsakaTime: nil,
+ VerkleTime: nil,
+ TerminalTotalDifficulty: big.NewInt(math.MaxInt64),
+ Ethash: new(EthashConfig),
+ Clique: nil,
}
TestRules = TestChainConfig.Rules(new(big.Int), false, 0)
)
+var (
+ // DefaultCancunBlobConfig is the default blob configuration for the Cancun fork.
+ DefaultCancunBlobConfig = &BlobConfig{
+ Target: 3,
+ Max: 6,
+ UpdateFraction: 3338477,
+ }
+ // DefaultPragueBlobConfig is the default blob configuration for the Prague fork.
+ DefaultPragueBlobConfig = &BlobConfig{
+ Target: 6,
+ Max: 9,
+ UpdateFraction: 5007716,
+ }
+ // DefaultOsakaBlobConfig is the default blob configuration for the Osaka fork.
+ DefaultOsakaBlobConfig = &BlobConfig{
+ Target: 6,
+ Max: 9,
+ UpdateFraction: 5007716,
+ }
+ // DefaultBlobSchedule is the latest configured blob schedule for Ethereum mainnet.
+ DefaultBlobSchedule = &BlobScheduleConfig{
+ Cancun: DefaultCancunBlobConfig,
+ Prague: DefaultPragueBlobConfig,
+ Osaka: DefaultOsakaBlobConfig,
+ }
+)
+
// NetworkNames are user friendly names to use in the chain spec banner.
var NetworkNames = map[string]string{
MainnetChainConfig.ChainID.String(): "mainnet",
- GoerliChainConfig.ChainID.String(): "goerli",
SepoliaChainConfig.ChainID.String(): "sepolia",
HoleskyChainConfig.ChainID.String(): "holesky",
+ HoodiChainConfig.ChainID.String(): "hoodi",
}
// ChainConfig is the core config which determines the blockchain settings.
@@ -352,22 +408,32 @@ type ChainConfig struct {
ShanghaiTime *uint64 `json:"shanghaiTime,omitempty"` // Shanghai switch time (nil = no fork, 0 = already on shanghai)
CancunTime *uint64 `json:"cancunTime,omitempty"` // Cancun switch time (nil = no fork, 0 = already on cancun)
PragueTime *uint64 `json:"pragueTime,omitempty"` // Prague switch time (nil = no fork, 0 = already on prague)
+ OsakaTime *uint64 `json:"osakaTime,omitempty"` // Osaka switch time (nil = no fork, 0 = already on osaka)
VerkleTime *uint64 `json:"verkleTime,omitempty"` // Verkle switch time (nil = no fork, 0 = already on verkle)
// TerminalTotalDifficulty is the amount of total difficulty reached by
// the network that triggers the consensus upgrade.
TerminalTotalDifficulty *big.Int `json:"terminalTotalDifficulty,omitempty"`
- // TerminalTotalDifficultyPassed is a flag specifying that the network already
- // passed the terminal total difficulty. Its purpose is to disable legacy sync
- // even without having seen the TTD locally (safer long term).
+ DepositContractAddress common.Address `json:"depositContractAddress,omitempty"`
+
+ // EnableVerkleAtGenesis is a flag that specifies whether the network uses
+ // the Verkle tree starting from the genesis block. If set to true, the
+ // genesis state will be committed using the Verkle tree, eliminating the
+ // need for any Verkle transition later.
//
- // TODO(karalabe): Drop this field eventually (always assuming PoS mode)
- TerminalTotalDifficultyPassed bool `json:"terminalTotalDifficultyPassed,omitempty"`
+ // This is a temporary flag only for verkle devnet testing, where verkle is
+ // activated at genesis, and the configured activation date has already passed.
+ //
+ // In production networks (mainnet and public testnets), verkle activation
+ // always occurs after the genesis block, making this flag irrelevant in
+ // those cases.
+ EnableVerkleAtGenesis bool `json:"enableVerkleAtGenesis,omitempty"`
// Various consensus engines
- Ethash *EthashConfig `json:"ethash,omitempty"`
- Clique *CliqueConfig `json:"clique,omitempty"`
+ Ethash *EthashConfig `json:"ethash,omitempty"`
+ Clique *CliqueConfig `json:"clique,omitempty"`
+ BlobScheduleConfig *BlobScheduleConfig `json:"blobSchedule,omitempty"`
}
// EthashConfig is the consensus engine configs for proof-of-work based sealing.
@@ -401,21 +467,9 @@ func (c *ChainConfig) Description() string {
banner += fmt.Sprintf("Chain ID: %v (%s)\n", c.ChainID, network)
switch {
case c.Ethash != nil:
- if c.TerminalTotalDifficulty == nil {
- banner += "Consensus: Ethash (proof-of-work)\n"
- } else if !c.TerminalTotalDifficultyPassed {
- banner += "Consensus: Beacon (proof-of-stake), merging from Ethash (proof-of-work)\n"
- } else {
- banner += "Consensus: Beacon (proof-of-stake), merged from Ethash (proof-of-work)\n"
- }
+ banner += "Consensus: Beacon (proof-of-stake), merged from Ethash (proof-of-work)\n"
case c.Clique != nil:
- if c.TerminalTotalDifficulty == nil {
- banner += "Consensus: Clique (proof-of-authority)\n"
- } else if !c.TerminalTotalDifficultyPassed {
- banner += "Consensus: Beacon (proof-of-stake), merging from Clique (proof-of-authority)\n"
- } else {
- banner += "Consensus: Beacon (proof-of-stake), merged from Clique (proof-of-authority)\n"
- }
+ banner += "Consensus: Beacon (proof-of-stake), merged from Clique (proof-of-authority)\n"
default:
banner += "Consensus: unknown\n"
}
@@ -450,17 +504,12 @@ func (c *ChainConfig) Description() string {
banner += "\n"
// Add a special section for the merge as it's non-obvious
- if c.TerminalTotalDifficulty == nil {
- banner += "The Merge is not yet available for this network!\n"
- banner += " - Hard-fork specification: https://github.com/ethereum/execution-specs/blob/master/network-upgrades/mainnet-upgrades/paris.md\n"
- } else {
- banner += "Merge configured:\n"
- banner += " - Hard-fork specification: https://github.com/ethereum/execution-specs/blob/master/network-upgrades/mainnet-upgrades/paris.md\n"
- banner += fmt.Sprintf(" - Network known to be merged: %v\n", c.TerminalTotalDifficultyPassed)
- banner += fmt.Sprintf(" - Total terminal difficulty: %v\n", c.TerminalTotalDifficulty)
- if c.MergeNetsplitBlock != nil {
- banner += fmt.Sprintf(" - Merge netsplit block: #%-8v\n", c.MergeNetsplitBlock)
- }
+ banner += "Merge configured:\n"
+ banner += " - Hard-fork specification: https://github.com/ethereum/execution-specs/blob/master/network-upgrades/mainnet-upgrades/paris.md\n"
+ banner += " - Network known to be merged\n"
+ banner += fmt.Sprintf(" - Total terminal difficulty: %v\n", c.TerminalTotalDifficulty)
+ if c.MergeNetsplitBlock != nil {
+ banner += fmt.Sprintf(" - Merge netsplit block: #%-8v\n", c.MergeNetsplitBlock)
}
banner += "\n"
@@ -475,12 +524,30 @@ func (c *ChainConfig) Description() string {
if c.PragueTime != nil {
banner += fmt.Sprintf(" - Prague: @%-10v\n", *c.PragueTime)
}
+ if c.OsakaTime != nil {
+ banner += fmt.Sprintf(" - Osaka: @%-10v\n", *c.OsakaTime)
+ }
if c.VerkleTime != nil {
banner += fmt.Sprintf(" - Verkle: @%-10v\n", *c.VerkleTime)
}
return banner
}
+// BlobConfig specifies the target and max blobs per block for the associated fork.
+type BlobConfig struct {
+ Target int `json:"target"`
+ Max int `json:"max"`
+ UpdateFraction uint64 `json:"baseFeeUpdateFraction"`
+}
+
+// BlobScheduleConfig determines target and max number of blobs allow per fork.
+type BlobScheduleConfig struct {
+ Cancun *BlobConfig `json:"cancun,omitempty"`
+ Prague *BlobConfig `json:"prague,omitempty"`
+ Osaka *BlobConfig `json:"osaka,omitempty"`
+ Verkle *BlobConfig `json:"verkle,omitempty"`
+}
+
// IsHomestead returns whether num is either equal to the homestead block or greater.
func (c *ChainConfig) IsHomestead(num *big.Int) bool {
return isBlockForked(c.HomesteadBlock, num)
@@ -576,11 +643,30 @@ func (c *ChainConfig) IsPrague(num *big.Int, time uint64) bool {
return c.IsLondon(num) && isTimestampForked(c.PragueTime, time)
}
+// IsOsaka returns whether time is either equal to the Osaka fork time or greater.
+func (c *ChainConfig) IsOsaka(num *big.Int, time uint64) bool {
+ return c.IsLondon(num) && isTimestampForked(c.OsakaTime, time)
+}
+
// IsVerkle returns whether time is either equal to the Verkle fork time or greater.
func (c *ChainConfig) IsVerkle(num *big.Int, time uint64) bool {
return c.IsLondon(num) && isTimestampForked(c.VerkleTime, time)
}
+// IsVerkleGenesis checks whether the verkle fork is activated at the genesis block.
+//
+// Verkle mode is considered enabled if the verkle fork time is configured,
+// regardless of whether the local time has surpassed the fork activation time.
+// This is a temporary workaround for verkle devnet testing, where verkle is
+// activated at genesis, and the configured activation date has already passed.
+//
+// In production networks (mainnet and public testnets), verkle activation
+// always occurs after the genesis block, making this function irrelevant in
+// those cases.
+func (c *ChainConfig) IsVerkleGenesis() bool {
+ return c.EnableVerkleAtGenesis
+}
+
// IsEIP4762 returns whether eip 4762 has been activated at given block.
func (c *ChainConfig) IsEIP4762(num *big.Int, time uint64) bool {
return c.IsVerkle(num, time)
@@ -640,6 +726,7 @@ func (c *ChainConfig) CheckConfigForkOrder() error {
{name: "shanghaiTime", timestamp: c.ShanghaiTime},
{name: "cancunTime", timestamp: c.CancunTime, optional: true},
{name: "pragueTime", timestamp: c.PragueTime, optional: true},
+ {name: "osakaTime", timestamp: c.OsakaTime, optional: true},
{name: "verkleTime", timestamp: c.VerkleTime, optional: true},
} {
if lastFork.name != "" {
@@ -676,6 +763,46 @@ func (c *ChainConfig) CheckConfigForkOrder() error {
lastFork = cur
}
}
+
+ // Check that all forks with blobs explicitly define the blob schedule configuration.
+ bsc := c.BlobScheduleConfig
+ if bsc == nil {
+ bsc = new(BlobScheduleConfig)
+ }
+ for _, cur := range []struct {
+ name string
+ timestamp *uint64
+ config *BlobConfig
+ }{
+ {name: "cancun", timestamp: c.CancunTime, config: bsc.Cancun},
+ {name: "prague", timestamp: c.PragueTime, config: bsc.Prague},
+ {name: "osaka", timestamp: c.OsakaTime, config: bsc.Osaka},
+ } {
+ if cur.config != nil {
+ if err := cur.config.validate(); err != nil {
+ return fmt.Errorf("invalid chain configuration in blobSchedule for fork %q: %v", cur.name, err)
+ }
+ }
+ if cur.timestamp != nil {
+ // If the fork is configured, a blob schedule must be defined for it.
+ if cur.config == nil {
+ return fmt.Errorf("invalid chain configuration: missing entry for fork %q in blobSchedule", cur.name)
+ }
+ }
+ }
+ return nil
+}
+
+func (bc *BlobConfig) validate() error {
+ if bc.Max < 0 {
+ return errors.New("max < 0")
+ }
+ if bc.Target < 0 {
+ return errors.New("target < 0")
+ }
+ if bc.UpdateFraction == 0 {
+ return errors.New("update fraction must be defined and non-zero")
+ }
return nil
}
@@ -744,6 +871,9 @@ func (c *ChainConfig) checkCompatible(newcfg *ChainConfig, headNumber *big.Int,
if isForkTimestampIncompatible(c.PragueTime, newcfg.PragueTime, headTimestamp) {
return newTimestampCompatError("Prague fork timestamp", c.PragueTime, newcfg.PragueTime)
}
+ if isForkTimestampIncompatible(c.OsakaTime, newcfg.OsakaTime, headTimestamp) {
+ return newTimestampCompatError("Osaka fork timestamp", c.OsakaTime, newcfg.OsakaTime)
+ }
if isForkTimestampIncompatible(c.VerkleTime, newcfg.VerkleTime, headTimestamp) {
return newTimestampCompatError("Verkle fork timestamp", c.VerkleTime, newcfg.VerkleTime)
}
@@ -766,6 +896,8 @@ func (c *ChainConfig) LatestFork(time uint64) forks.Fork {
london := c.LondonBlock
switch {
+ case c.IsOsaka(london, time):
+ return forks.Osaka
case c.IsPrague(london, time):
return forks.Prague
case c.IsCancun(london, time):
@@ -777,6 +909,23 @@ func (c *ChainConfig) LatestFork(time uint64) forks.Fork {
}
}
+// Timestamp returns the timestamp associated with the fork or returns nil if
+// the fork isn't defined or isn't a time-based fork.
+func (c *ChainConfig) Timestamp(fork forks.Fork) *uint64 {
+ switch {
+ case fork == forks.Osaka:
+ return c.OsakaTime
+ case fork == forks.Prague:
+ return c.PragueTime
+ case fork == forks.Cancun:
+ return c.CancunTime
+ case fork == forks.Shanghai:
+ return c.ShanghaiTime
+ default:
+ return nil
+ }
+}
+
// isForkBlockIncompatible returns true if a fork scheduled at block s1 cannot be
// rescheduled to block s2 because head is already past the fork.
func isForkBlockIncompatible(s1, s2, head *big.Int) bool {
@@ -917,7 +1066,7 @@ type Rules struct {
IsEIP2929, IsEIP4762 bool
IsByzantium, IsConstantinople, IsPetersburg, IsIstanbul bool
IsBerlin, IsLondon bool
- IsMerge, IsShanghai, IsCancun, IsPrague bool
+ IsMerge, IsShanghai, IsCancun, IsPrague, IsOsaka bool
IsVerkle bool
}
@@ -947,6 +1096,7 @@ func (c *ChainConfig) Rules(num *big.Int, isMerge bool, timestamp uint64) Rules
IsShanghai: isMerge && c.IsShanghai(num, timestamp),
IsCancun: isMerge && c.IsCancun(num, timestamp),
IsPrague: isMerge && c.IsPrague(num, timestamp),
+ IsOsaka: isMerge && c.IsOsaka(num, timestamp),
IsVerkle: isVerkle,
IsEIP4762: isVerkle,
}
diff --git a/go-ethereum/params/config_test.go b/go-ethereum/params/config_test.go
index ebecc948..f658c336 100644
--- a/go-ethereum/params/config_test.go
+++ b/go-ethereum/params/config_test.go
@@ -17,12 +17,12 @@
package params
import (
+ "math"
"math/big"
"reflect"
"testing"
"time"
- "github.com/0xsequence/ethkit/go-ethereum/common/math"
"github.com/stretchr/testify/require"
)
diff --git a/go-ethereum/params/dao.go b/go-ethereum/params/dao.go
new file mode 100644
index 00000000..6c24c883
--- /dev/null
+++ b/go-ethereum/params/dao.go
@@ -0,0 +1,158 @@
+// Copyright 2016 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package params
+
+import (
+ "math/big"
+
+ "github.com/0xsequence/ethkit/go-ethereum/common"
+)
+
+// DAOForkBlockExtra is the block header extra-data field to set for the DAO fork
+// point and a number of consecutive blocks to allow fast/light syncers to correctly
+// pick the side they want ("dao-hard-fork").
+var DAOForkBlockExtra = common.FromHex("0x64616f2d686172642d666f726b")
+
+// DAOForkExtraRange is the number of consecutive blocks from the DAO fork point
+// to override the extra-data in to prevent no-fork attacks.
+var DAOForkExtraRange = big.NewInt(10)
+
+// DAORefundContract is the address of the refund contract to send DAO balances to.
+var DAORefundContract = common.HexToAddress("0xbf4ed7b27f1d666546e30d74d50d173d20bca754")
+
+// DAODrainList is the list of accounts whose full balances will be moved into a
+// refund contract at the beginning of the dao-fork block.
+func DAODrainList() []common.Address {
+ return []common.Address{
+ common.HexToAddress("0xd4fe7bc31cedb7bfb8a345f31e668033056b2728"),
+ common.HexToAddress("0xb3fb0e5aba0e20e5c49d252dfd30e102b171a425"),
+ common.HexToAddress("0x2c19c7f9ae8b751e37aeb2d93a699722395ae18f"),
+ common.HexToAddress("0xecd135fa4f61a655311e86238c92adcd779555d2"),
+ common.HexToAddress("0x1975bd06d486162d5dc297798dfc41edd5d160a7"),
+ common.HexToAddress("0xa3acf3a1e16b1d7c315e23510fdd7847b48234f6"),
+ common.HexToAddress("0x319f70bab6845585f412ec7724b744fec6095c85"),
+ common.HexToAddress("0x06706dd3f2c9abf0a21ddcc6941d9b86f0596936"),
+ common.HexToAddress("0x5c8536898fbb74fc7445814902fd08422eac56d0"),
+ common.HexToAddress("0x6966ab0d485353095148a2155858910e0965b6f9"),
+ common.HexToAddress("0x779543a0491a837ca36ce8c635d6154e3c4911a6"),
+ common.HexToAddress("0x2a5ed960395e2a49b1c758cef4aa15213cfd874c"),
+ common.HexToAddress("0x5c6e67ccd5849c0d29219c4f95f1a7a93b3f5dc5"),
+ common.HexToAddress("0x9c50426be05db97f5d64fc54bf89eff947f0a321"),
+ common.HexToAddress("0x200450f06520bdd6c527622a273333384d870efb"),
+ common.HexToAddress("0xbe8539bfe837b67d1282b2b1d61c3f723966f049"),
+ common.HexToAddress("0x6b0c4d41ba9ab8d8cfb5d379c69a612f2ced8ecb"),
+ common.HexToAddress("0xf1385fb24aad0cd7432824085e42aff90886fef5"),
+ common.HexToAddress("0xd1ac8b1ef1b69ff51d1d401a476e7e612414f091"),
+ common.HexToAddress("0x8163e7fb499e90f8544ea62bbf80d21cd26d9efd"),
+ common.HexToAddress("0x51e0ddd9998364a2eb38588679f0d2c42653e4a6"),
+ common.HexToAddress("0x627a0a960c079c21c34f7612d5d230e01b4ad4c7"),
+ common.HexToAddress("0xf0b1aa0eb660754448a7937c022e30aa692fe0c5"),
+ common.HexToAddress("0x24c4d950dfd4dd1902bbed3508144a54542bba94"),
+ common.HexToAddress("0x9f27daea7aca0aa0446220b98d028715e3bc803d"),
+ common.HexToAddress("0xa5dc5acd6a7968a4554d89d65e59b7fd3bff0f90"),
+ common.HexToAddress("0xd9aef3a1e38a39c16b31d1ace71bca8ef58d315b"),
+ common.HexToAddress("0x63ed5a272de2f6d968408b4acb9024f4cc208ebf"),
+ common.HexToAddress("0x6f6704e5a10332af6672e50b3d9754dc460dfa4d"),
+ common.HexToAddress("0x77ca7b50b6cd7e2f3fa008e24ab793fd56cb15f6"),
+ common.HexToAddress("0x492ea3bb0f3315521c31f273e565b868fc090f17"),
+ common.HexToAddress("0x0ff30d6de14a8224aa97b78aea5388d1c51c1f00"),
+ common.HexToAddress("0x9ea779f907f0b315b364b0cfc39a0fde5b02a416"),
+ common.HexToAddress("0xceaeb481747ca6c540a000c1f3641f8cef161fa7"),
+ common.HexToAddress("0xcc34673c6c40e791051898567a1222daf90be287"),
+ common.HexToAddress("0x579a80d909f346fbfb1189493f521d7f48d52238"),
+ common.HexToAddress("0xe308bd1ac5fda103967359b2712dd89deffb7973"),
+ common.HexToAddress("0x4cb31628079fb14e4bc3cd5e30c2f7489b00960c"),
+ common.HexToAddress("0xac1ecab32727358dba8962a0f3b261731aad9723"),
+ common.HexToAddress("0x4fd6ace747f06ece9c49699c7cabc62d02211f75"),
+ common.HexToAddress("0x440c59b325d2997a134c2c7c60a8c61611212bad"),
+ common.HexToAddress("0x4486a3d68fac6967006d7a517b889fd3f98c102b"),
+ common.HexToAddress("0x9c15b54878ba618f494b38f0ae7443db6af648ba"),
+ common.HexToAddress("0x27b137a85656544b1ccb5a0f2e561a5703c6a68f"),
+ common.HexToAddress("0x21c7fdb9ed8d291d79ffd82eb2c4356ec0d81241"),
+ common.HexToAddress("0x23b75c2f6791eef49c69684db4c6c1f93bf49a50"),
+ common.HexToAddress("0x1ca6abd14d30affe533b24d7a21bff4c2d5e1f3b"),
+ common.HexToAddress("0xb9637156d330c0d605a791f1c31ba5890582fe1c"),
+ common.HexToAddress("0x6131c42fa982e56929107413a9d526fd99405560"),
+ common.HexToAddress("0x1591fc0f688c81fbeb17f5426a162a7024d430c2"),
+ common.HexToAddress("0x542a9515200d14b68e934e9830d91645a980dd7a"),
+ common.HexToAddress("0xc4bbd073882dd2add2424cf47d35213405b01324"),
+ common.HexToAddress("0x782495b7b3355efb2833d56ecb34dc22ad7dfcc4"),
+ common.HexToAddress("0x58b95c9a9d5d26825e70a82b6adb139d3fd829eb"),
+ common.HexToAddress("0x3ba4d81db016dc2890c81f3acec2454bff5aada5"),
+ common.HexToAddress("0xb52042c8ca3f8aa246fa79c3feaa3d959347c0ab"),
+ common.HexToAddress("0xe4ae1efdfc53b73893af49113d8694a057b9c0d1"),
+ common.HexToAddress("0x3c02a7bc0391e86d91b7d144e61c2c01a25a79c5"),
+ common.HexToAddress("0x0737a6b837f97f46ebade41b9bc3e1c509c85c53"),
+ common.HexToAddress("0x97f43a37f595ab5dd318fb46e7a155eae057317a"),
+ common.HexToAddress("0x52c5317c848ba20c7504cb2c8052abd1fde29d03"),
+ common.HexToAddress("0x4863226780fe7c0356454236d3b1c8792785748d"),
+ common.HexToAddress("0x5d2b2e6fcbe3b11d26b525e085ff818dae332479"),
+ common.HexToAddress("0x5f9f3392e9f62f63b8eac0beb55541fc8627f42c"),
+ common.HexToAddress("0x057b56736d32b86616a10f619859c6cd6f59092a"),
+ common.HexToAddress("0x9aa008f65de0b923a2a4f02012ad034a5e2e2192"),
+ common.HexToAddress("0x304a554a310c7e546dfe434669c62820b7d83490"),
+ common.HexToAddress("0x914d1b8b43e92723e64fd0a06f5bdb8dd9b10c79"),
+ common.HexToAddress("0x4deb0033bb26bc534b197e61d19e0733e5679784"),
+ common.HexToAddress("0x07f5c1e1bc2c93e0402f23341973a0e043f7bf8a"),
+ common.HexToAddress("0x35a051a0010aba705c9008d7a7eff6fb88f6ea7b"),
+ common.HexToAddress("0x4fa802324e929786dbda3b8820dc7834e9134a2a"),
+ common.HexToAddress("0x9da397b9e80755301a3b32173283a91c0ef6c87e"),
+ common.HexToAddress("0x8d9edb3054ce5c5774a420ac37ebae0ac02343c6"),
+ common.HexToAddress("0x0101f3be8ebb4bbd39a2e3b9a3639d4259832fd9"),
+ common.HexToAddress("0x5dc28b15dffed94048d73806ce4b7a4612a1d48f"),
+ common.HexToAddress("0xbcf899e6c7d9d5a215ab1e3444c86806fa854c76"),
+ common.HexToAddress("0x12e626b0eebfe86a56d633b9864e389b45dcb260"),
+ common.HexToAddress("0xa2f1ccba9395d7fcb155bba8bc92db9bafaeade7"),
+ common.HexToAddress("0xec8e57756626fdc07c63ad2eafbd28d08e7b0ca5"),
+ common.HexToAddress("0xd164b088bd9108b60d0ca3751da4bceb207b0782"),
+ common.HexToAddress("0x6231b6d0d5e77fe001c2a460bd9584fee60d409b"),
+ common.HexToAddress("0x1cba23d343a983e9b5cfd19496b9a9701ada385f"),
+ common.HexToAddress("0xa82f360a8d3455c5c41366975bde739c37bfeb8a"),
+ common.HexToAddress("0x9fcd2deaff372a39cc679d5c5e4de7bafb0b1339"),
+ common.HexToAddress("0x005f5cee7a43331d5a3d3eec71305925a62f34b6"),
+ common.HexToAddress("0x0e0da70933f4c7849fc0d203f5d1d43b9ae4532d"),
+ common.HexToAddress("0xd131637d5275fd1a68a3200f4ad25c71a2a9522e"),
+ common.HexToAddress("0xbc07118b9ac290e4622f5e77a0853539789effbe"),
+ common.HexToAddress("0x47e7aa56d6bdf3f36be34619660de61275420af8"),
+ common.HexToAddress("0xacd87e28b0c9d1254e868b81cba4cc20d9a32225"),
+ common.HexToAddress("0xadf80daec7ba8dcf15392f1ac611fff65d94f880"),
+ common.HexToAddress("0x5524c55fb03cf21f549444ccbecb664d0acad706"),
+ common.HexToAddress("0x40b803a9abce16f50f36a77ba41180eb90023925"),
+ common.HexToAddress("0xfe24cdd8648121a43a7c86d289be4dd2951ed49f"),
+ common.HexToAddress("0x17802f43a0137c506ba92291391a8a8f207f487d"),
+ common.HexToAddress("0x253488078a4edf4d6f42f113d1e62836a942cf1a"),
+ common.HexToAddress("0x86af3e9626fce1957c82e88cbf04ddf3a2ed7915"),
+ common.HexToAddress("0xb136707642a4ea12fb4bae820f03d2562ebff487"),
+ common.HexToAddress("0xdbe9b615a3ae8709af8b93336ce9b477e4ac0940"),
+ common.HexToAddress("0xf14c14075d6c4ed84b86798af0956deef67365b5"),
+ common.HexToAddress("0xca544e5c4687d109611d0f8f928b53a25af72448"),
+ common.HexToAddress("0xaeeb8ff27288bdabc0fa5ebb731b6f409507516c"),
+ common.HexToAddress("0xcbb9d3703e651b0d496cdefb8b92c25aeb2171f7"),
+ common.HexToAddress("0x6d87578288b6cb5549d5076a207456a1f6a63dc0"),
+ common.HexToAddress("0xb2c6f0dfbb716ac562e2d85d6cb2f8d5ee87603e"),
+ common.HexToAddress("0xaccc230e8a6e5be9160b8cdf2864dd2a001c28b6"),
+ common.HexToAddress("0x2b3455ec7fedf16e646268bf88846bd7a2319bb2"),
+ common.HexToAddress("0x4613f3bca5c44ea06337a9e439fbc6d42e501d0a"),
+ common.HexToAddress("0xd343b217de44030afaa275f54d31a9317c7f441e"),
+ common.HexToAddress("0x84ef4b2357079cd7a7c69fd7a37cd0609a679106"),
+ common.HexToAddress("0xda2fef9e4a3230988ff17df2165440f37e8b1708"),
+ common.HexToAddress("0xf4c64518ea10f995918a454158c6b61407ea345c"),
+ common.HexToAddress("0x7602b46df5390e432ef1c307d4f2c9ff6d65cc97"),
+ common.HexToAddress("0xbb9bc244d798123fde783fcc1c72d3bb8c189413"),
+ common.HexToAddress("0x807640a13483f8ac783c557fcdf27be11ea4ac7a"),
+ }
+}
diff --git a/go-ethereum/params/forks/forks.go b/go-ethereum/params/forks/forks.go
index 4f50ff5a..5c9612a6 100644
--- a/go-ethereum/params/forks/forks.go
+++ b/go-ethereum/params/forks/forks.go
@@ -20,12 +20,12 @@ package forks
type Fork int
const (
- Frontier = iota
+ Frontier Fork = iota
FrontierThawing
Homestead
DAO
- TangerineWhistle
- SpuriousDragon
+ TangerineWhistle // a.k.a. the EIP150 fork
+ SpuriousDragon // a.k.a. the EIP155 fork
Byzantium
Constantinople
Petersburg
@@ -39,4 +39,37 @@ const (
Shanghai
Cancun
Prague
+ Osaka
)
+
+// String implements fmt.Stringer.
+func (f Fork) String() string {
+ s, ok := forkToString[f]
+ if !ok {
+ return "Unknown fork"
+ }
+ return s
+}
+
+var forkToString = map[Fork]string{
+ Frontier: "Frontier",
+ FrontierThawing: "Frontier Thawing",
+ Homestead: "Homestead",
+ DAO: "DAO",
+ TangerineWhistle: "Tangerine Whistle",
+ SpuriousDragon: "Spurious Dragon",
+ Byzantium: "Byzantium",
+ Constantinople: "Constantinople",
+ Petersburg: "Petersburg",
+ Istanbul: "Istanbul",
+ MuirGlacier: "Muir Glacier",
+ Berlin: "Berlin",
+ London: "London",
+ ArrowGlacier: "Arrow Glacier",
+ GrayGlacier: "Gray Glacier",
+ Paris: "Paris",
+ Shanghai: "Shanghai",
+ Cancun: "Cancun",
+ Prague: "Prague",
+ Osaka: "Osaka",
+}
diff --git a/go-ethereum/params/network_params.go b/go-ethereum/params/network_params.go
new file mode 100644
index 00000000..c016e7fc
--- /dev/null
+++ b/go-ethereum/params/network_params.go
@@ -0,0 +1,28 @@
+// Copyright 2017 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package params
+
+// These are network parameters that need to be constant between clients, but
+// aren't necessarily consensus related.
+
+const (
+ // FullImmutabilityThreshold is the number of blocks after which a chain segment is
+ // considered immutable (i.e. soft finality). It is used by the downloader as a
+ // hard limit against deep ancestors, by the blockchain against deep reorgs, by
+ // the freezer as the cutoff threshold and by clique as the snapshot trust limit.
+ FullImmutabilityThreshold = 90000
+)
diff --git a/go-ethereum/params/protocol_params.go b/go-ethereum/params/protocol_params.go
index 852e8be3..62be9a94 100644
--- a/go-ethereum/params/protocol_params.go
+++ b/go-ethereum/params/protocol_params.go
@@ -90,10 +90,13 @@ const (
SelfdestructRefundGas uint64 = 24000 // Refunded following a selfdestruct operation.
MemoryGas uint64 = 3 // Times the address of the (highest referenced byte in memory + 1). NOTE: referencing happens on read, write and in instructions such as RETURN and CALL.
- TxDataNonZeroGasFrontier uint64 = 68 // Per byte of data attached to a transaction that is not equal to zero. NOTE: Not payable on data of calls between transactions.
- TxDataNonZeroGasEIP2028 uint64 = 16 // Per byte of non zero data attached to a transaction after EIP 2028 (part in Istanbul)
- TxAccessListAddressGas uint64 = 2400 // Per address specified in EIP 2930 access list
- TxAccessListStorageKeyGas uint64 = 1900 // Per storage key specified in EIP 2930 access list
+ TxDataNonZeroGasFrontier uint64 = 68 // Per byte of data attached to a transaction that is not equal to zero. NOTE: Not payable on data of calls between transactions.
+ TxDataNonZeroGasEIP2028 uint64 = 16 // Per byte of non zero data attached to a transaction after EIP 2028 (part in Istanbul)
+ TxTokenPerNonZeroByte uint64 = 4 // Token cost per non-zero byte as specified by EIP-7623.
+ TxCostFloorPerToken uint64 = 10 // Cost floor per byte of data as specified by EIP-7623.
+ TxAccessListAddressGas uint64 = 2400 // Per address specified in EIP 2930 access list
+ TxAccessListStorageKeyGas uint64 = 1900 // Per storage key specified in EIP 2930 access list
+ TxAuthTupleGas uint64 = 12500 // Per auth tuple code specified in EIP-7702
// These have been changed during the course of the chain
CallGasFrontier uint64 = 40 // Once per CALL operation & message call transaction.
@@ -151,14 +154,14 @@ const (
Bn256PairingPerPointGasByzantium uint64 = 80000 // Byzantium per-point price for an elliptic curve pairing check
Bn256PairingPerPointGasIstanbul uint64 = 34000 // Per-point price for an elliptic curve pairing check
- Bls12381G1AddGas uint64 = 500 // Price for BLS12-381 elliptic curve G1 point addition
+ Bls12381G1AddGas uint64 = 375 // Price for BLS12-381 elliptic curve G1 point addition
Bls12381G1MulGas uint64 = 12000 // Price for BLS12-381 elliptic curve G1 point scalar multiplication
- Bls12381G2AddGas uint64 = 800 // Price for BLS12-381 elliptic curve G2 point addition
- Bls12381G2MulGas uint64 = 45000 // Price for BLS12-381 elliptic curve G2 point scalar multiplication
- Bls12381PairingBaseGas uint64 = 65000 // Base gas price for BLS12-381 elliptic curve pairing check
- Bls12381PairingPerPairGas uint64 = 43000 // Per-point pair gas price for BLS12-381 elliptic curve pairing check
+ Bls12381G2AddGas uint64 = 600 // Price for BLS12-381 elliptic curve G2 point addition
+ Bls12381G2MulGas uint64 = 22500 // Price for BLS12-381 elliptic curve G2 point scalar multiplication
+ Bls12381PairingBaseGas uint64 = 37700 // Base gas price for BLS12-381 elliptic curve pairing check
+ Bls12381PairingPerPairGas uint64 = 32600 // Per-point pair gas price for BLS12-381 elliptic curve pairing check
Bls12381MapG1Gas uint64 = 5500 // Gas price for BLS12-381 mapping field element to G1 operation
- Bls12381MapG2Gas uint64 = 75000 // Gas price for BLS12-381 mapping field element to G2 operation
+ Bls12381MapG2Gas uint64 = 23800 // Gas price for BLS12-381 mapping field element to G2 operation
// The Refund Quotient is the cap on how much of the used gas can be refunded. Before EIP-3529,
// up to half the consumed gas could be refunded. Redefined as 1/5th in EIP-3529
@@ -169,28 +172,43 @@ const (
BlobTxFieldElementsPerBlob = 4096 // Number of field elements stored in a single data blob
BlobTxBlobGasPerBlob = 1 << 17 // Gas consumption of a single data blob (== blob byte size)
BlobTxMinBlobGasprice = 1 // Minimum gas price for data blobs
- BlobTxBlobGaspriceUpdateFraction = 3338477 // Controls the maximum rate of change for blob gas price
BlobTxPointEvaluationPrecompileGas = 50000 // Gas price for the point evaluation precompile.
- BlobTxTargetBlobGasPerBlock = 3 * BlobTxBlobGasPerBlob // Target consumable blob gas for data blobs per block (for 1559-like pricing)
- MaxBlobGasPerBlock = 6 * BlobTxBlobGasPerBlob // Maximum consumable blob gas for data blobs per block
+ HistoryServeWindow = 8192 // Number of blocks to serve historical block hashes for, EIP-2935.
)
-// Gas discount table for BLS12-381 G1 and G2 multi exponentiation operations
-var Bls12381MultiExpDiscountTable = [128]uint64{1200, 888, 764, 641, 594, 547, 500, 453, 438, 423, 408, 394, 379, 364, 349, 334, 330, 326, 322, 318, 314, 310, 306, 302, 298, 294, 289, 285, 281, 277, 273, 269, 268, 266, 265, 263, 262, 260, 259, 257, 256, 254, 253, 251, 250, 248, 247, 245, 244, 242, 241, 239, 238, 236, 235, 233, 232, 231, 229, 228, 226, 225, 223, 222, 221, 220, 219, 219, 218, 217, 216, 216, 215, 214, 213, 213, 212, 211, 211, 210, 209, 208, 208, 207, 206, 205, 205, 204, 203, 202, 202, 201, 200, 199, 199, 198, 197, 196, 196, 195, 194, 193, 193, 192, 191, 191, 190, 189, 188, 188, 187, 186, 185, 185, 184, 183, 182, 182, 181, 180, 179, 179, 178, 177, 176, 176, 175, 174}
+// Bls12381G1MultiExpDiscountTable is the gas discount table for BLS12-381 G1 multi exponentiation operation
+var Bls12381G1MultiExpDiscountTable = [128]uint64{1000, 949, 848, 797, 764, 750, 738, 728, 719, 712, 705, 698, 692, 687, 682, 677, 673, 669, 665, 661, 658, 654, 651, 648, 645, 642, 640, 637, 635, 632, 630, 627, 625, 623, 621, 619, 617, 615, 613, 611, 609, 608, 606, 604, 603, 601, 599, 598, 596, 595, 593, 592, 591, 589, 588, 586, 585, 584, 582, 581, 580, 579, 577, 576, 575, 574, 573, 572, 570, 569, 568, 567, 566, 565, 564, 563, 562, 561, 560, 559, 558, 557, 556, 555, 554, 553, 552, 551, 550, 549, 548, 547, 547, 546, 545, 544, 543, 542, 541, 540, 540, 539, 538, 537, 536, 536, 535, 534, 533, 532, 532, 531, 530, 529, 528, 528, 527, 526, 525, 525, 524, 523, 522, 522, 521, 520, 520, 519}
+// Bls12381G2MultiExpDiscountTable is the gas discount table for BLS12-381 G2 multi exponentiation operation
+var Bls12381G2MultiExpDiscountTable = [128]uint64{1000, 1000, 923, 884, 855, 832, 812, 796, 782, 770, 759, 749, 740, 732, 724, 717, 711, 704, 699, 693, 688, 683, 679, 674, 670, 666, 663, 659, 655, 652, 649, 646, 643, 640, 637, 634, 632, 629, 627, 624, 622, 620, 618, 615, 613, 611, 609, 607, 606, 604, 602, 600, 598, 597, 595, 593, 592, 590, 589, 587, 586, 584, 583, 582, 580, 579, 578, 576, 575, 574, 573, 571, 570, 569, 568, 567, 566, 565, 563, 562, 561, 560, 559, 558, 557, 556, 555, 554, 553, 552, 552, 551, 550, 549, 548, 547, 546, 545, 545, 544, 543, 542, 541, 541, 540, 539, 538, 537, 537, 536, 535, 535, 534, 533, 532, 532, 531, 530, 530, 529, 528, 528, 527, 526, 526, 525, 524, 524}
+
+// Difficulty parameters.
var (
DifficultyBoundDivisor = big.NewInt(2048) // The bound divisor of the difficulty, used in the update calculations.
GenesisDifficulty = big.NewInt(131072) // Difficulty of the Genesis block.
MinimumDifficulty = big.NewInt(131072) // The minimum that the difficulty may ever be.
DurationLimit = big.NewInt(13) // The decision boundary on the blocktime duration used to determine whether difficulty should go up or not.
+)
- // BeaconRootsAddress is the address where historical beacon roots are stored as per EIP-4788
+// System contracts.
+var (
+ // SystemAddress is where the system-transaction is sent from as per EIP-4788
+ SystemAddress = common.HexToAddress("0xfffffffffffffffffffffffffffffffffffffffe")
+
+ // EIP-4788 - Beacon block root in the EVM
BeaconRootsAddress = common.HexToAddress("0x000F3df6D732807Ef1319fB7B8bB8522d0Beac02")
+ BeaconRootsCode = common.FromHex("3373fffffffffffffffffffffffffffffffffffffffe14604d57602036146024575f5ffd5b5f35801560495762001fff810690815414603c575f5ffd5b62001fff01545f5260205ff35b5f5ffd5b62001fff42064281555f359062001fff015500")
- // BeaconRootsCode is the code where historical beacon roots are stored as per EIP-4788
- BeaconRootsCode = common.FromHex("3373fffffffffffffffffffffffffffffffffffffffe14604d57602036146024575f5ffd5b5f35801560495762001fff810690815414603c575f5ffd5b62001fff01545f5260205ff35b5f5ffd5b62001fff42064281555f359062001fff015500")
+ // EIP-2935 - Serve historical block hashes from state
+ HistoryStorageAddress = common.HexToAddress("0x0000F90827F1C53a10cb7A02335B175320002935")
+ HistoryStorageCode = common.FromHex("3373fffffffffffffffffffffffffffffffffffffffe14604657602036036042575f35600143038111604257611fff81430311604257611fff9006545f5260205ff35b5f5ffd5b5f35611fff60014303065500")
- // SystemAddress is where the system-transaction is sent from as per EIP-4788
- SystemAddress = common.HexToAddress("0xfffffffffffffffffffffffffffffffffffffffe")
+ // EIP-7002 - Execution layer triggerable withdrawals
+ WithdrawalQueueAddress = common.HexToAddress("0x00000961Ef480Eb55e80D19ad83579A64c007002")
+ WithdrawalQueueCode = common.FromHex("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")
+
+ // EIP-7251 - Increase the MAX_EFFECTIVE_BALANCE
+ ConsolidationQueueAddress = common.HexToAddress("0x0000BBdDc7CE488642fb579F8B00f3a590007251")
+ ConsolidationQueueCode = common.FromHex("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")
)
diff --git a/go-ethereum/params/version.go b/go-ethereum/params/version.go
deleted file mode 100644
index c4e1274a..00000000
--- a/go-ethereum/params/version.go
+++ /dev/null
@@ -1,67 +0,0 @@
-// Copyright 2016 The go-ethereum Authors
-// This file is part of the go-ethereum library.
-//
-// The go-ethereum library is free software: you can redistribute it and/or modify
-// it under the terms of the GNU Lesser General Public License as published by
-// the Free Software Foundation, either version 3 of the License, or
-// (at your option) any later version.
-//
-// The go-ethereum library is distributed in the hope that it will be useful,
-// but WITHOUT ANY WARRANTY; without even the implied warranty of
-// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-// GNU Lesser General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public License
-// along with the go-ethereum library. If not, see .
-
-package params
-
-import (
- "fmt"
-)
-
-const (
- VersionMajor = 1 // Major version component of the current release
- VersionMinor = 14 // Minor version component of the current release
- VersionPatch = 7 // Patch version component of the current release
- VersionMeta = "stable" // Version metadata to append to the version string
-)
-
-// Version holds the textual version string.
-var Version = func() string {
- return fmt.Sprintf("%d.%d.%d", VersionMajor, VersionMinor, VersionPatch)
-}()
-
-// VersionWithMeta holds the textual version string including the metadata.
-var VersionWithMeta = func() string {
- v := Version
- if VersionMeta != "" {
- v += "-" + VersionMeta
- }
- return v
-}()
-
-// ArchiveVersion holds the textual version string used for Geth archives. e.g.
-// "1.8.11-dea1ce05" for stable releases, or "1.8.13-unstable-21c059b6" for unstable
-// releases.
-func ArchiveVersion(gitCommit string) string {
- vsn := Version
- if VersionMeta != "stable" {
- vsn += "-" + VersionMeta
- }
- if len(gitCommit) >= 8 {
- vsn += "-" + gitCommit[:8]
- }
- return vsn
-}
-
-func VersionWithCommit(gitCommit, gitDate string) string {
- vsn := VersionWithMeta
- if len(gitCommit) >= 8 {
- vsn += "-" + gitCommit[:8]
- }
- if (VersionMeta != "stable") && (gitDate != "") {
- vsn += "-" + gitDate
- }
- return vsn
-}
diff --git a/go-ethereum/rlp/decode_test.go b/go-ethereum/rlp/decode_test.go
index 0e208b41..0c81a134 100644
--- a/go-ethereum/rlp/decode_test.go
+++ b/go-ethereum/rlp/decode_test.go
@@ -22,6 +22,7 @@ import (
"errors"
"fmt"
"io"
+ gomath "math"
"math/big"
"reflect"
"strings"
@@ -307,7 +308,6 @@ func TestStreamReadBytes(t *testing.T) {
}
for _, test := range tests {
- test := test
name := fmt.Sprintf("input_%s/size_%d", test.input, test.size)
t.Run(name, func(t *testing.T) {
s := NewStream(bytes.NewReader(unhex(test.input)), 0)
@@ -556,7 +556,7 @@ var decodeTests = []decodeTest{
// uint256
{input: "80", ptr: new(*uint256.Int), value: uint256.NewInt(0)},
{input: "01", ptr: new(*uint256.Int), value: uint256.NewInt(1)},
- {input: "88FFFFFFFFFFFFFFFF", ptr: new(*uint256.Int), value: uint256.NewInt(math.MaxUint64)},
+ {input: "88FFFFFFFFFFFFFFFF", ptr: new(*uint256.Int), value: uint256.NewInt(gomath.MaxUint64)},
{input: "89FFFFFFFFFFFFFFFFFF", ptr: new(*uint256.Int), value: veryBigInt256},
{input: "10", ptr: new(uint256.Int), value: *uint256.NewInt(16)}, // non-pointer also works
diff --git a/go-ethereum/rlp/rlpgen/gen_test.go b/go-ethereum/rlp/rlpgen/gen_test.go
index 3b4f5df2..b4fabb3d 100644
--- a/go-ethereum/rlp/rlpgen/gen_test.go
+++ b/go-ethereum/rlp/rlpgen/gen_test.go
@@ -51,7 +51,6 @@ var tests = []string{"uints", "nil", "rawvalue", "optional", "bigint", "uint256"
func TestOutput(t *testing.T) {
for _, test := range tests {
- test := test
t.Run(test, func(t *testing.T) {
inputFile := filepath.Join("testdata", test+".in.txt")
outputFile := filepath.Join("testdata", test+".out.txt")
diff --git a/go-ethereum/rpc/_client_test.go b/go-ethereum/rpc/_client_test.go
new file mode 100644
index 00000000..6c1a4f8f
--- /dev/null
+++ b/go-ethereum/rpc/_client_test.go
@@ -0,0 +1,983 @@
+// Copyright 2016 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package rpc
+
+import (
+ "context"
+ "encoding/json"
+ "errors"
+ "fmt"
+ "math/rand"
+ "net"
+ "net/http"
+ "net/http/httptest"
+ "os"
+ "reflect"
+ "runtime"
+ "strings"
+ "sync"
+ "testing"
+ "time"
+
+ "github.com/davecgh/go-spew/spew"
+ "github.com/ethereum/go-ethereum/log"
+)
+
+func TestClientRequest(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+ client := DialInProc(server)
+ defer client.Close()
+
+ var resp echoResult
+ if err := client.Call(&resp, "test_echo", "hello", 10, &echoArgs{"world"}); err != nil {
+ t.Fatal(err)
+ }
+ if !reflect.DeepEqual(resp, echoResult{"hello", 10, &echoArgs{"world"}}) {
+ t.Errorf("incorrect result %#v", resp)
+ }
+}
+
+func TestClientResponseType(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+ client := DialInProc(server)
+ defer client.Close()
+
+ if err := client.Call(nil, "test_echo", "hello", 10, &echoArgs{"world"}); err != nil {
+ t.Errorf("Passing nil as result should be fine, but got an error: %v", err)
+ }
+ var resultVar echoResult
+ // Note: passing the var, not a ref
+ err := client.Call(resultVar, "test_echo", "hello", 10, &echoArgs{"world"})
+ if err == nil {
+ t.Error("Passing a var as result should be an error")
+ }
+}
+
+// This test checks calling a method that returns 'null'.
+func TestClientNullResponse(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+
+ client := DialInProc(server)
+ defer client.Close()
+
+ var result json.RawMessage
+ if err := client.Call(&result, "test_null"); err != nil {
+ t.Fatal(err)
+ }
+ if result == nil {
+ t.Fatal("Expected non-nil result")
+ }
+ if !reflect.DeepEqual(result, json.RawMessage("null")) {
+ t.Errorf("Expected null, got %s", result)
+ }
+}
+
+// This test checks that server-returned errors with code and data come out of Client.Call.
+func TestClientErrorData(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+ client := DialInProc(server)
+ defer client.Close()
+
+ var resp interface{}
+ err := client.Call(&resp, "test_returnError")
+ if err == nil {
+ t.Fatal("expected error")
+ }
+
+ // Check code.
+ // The method handler returns an error value which implements the rpc.Error
+ // interface, i.e. it has a custom error code. The server returns this error code.
+ expectedCode := testError{}.ErrorCode()
+ if e, ok := err.(Error); !ok {
+ t.Fatalf("client did not return rpc.Error, got %#v", e)
+ } else if e.ErrorCode() != expectedCode {
+ t.Fatalf("wrong error code %d, want %d", e.ErrorCode(), expectedCode)
+ }
+
+ // Check data.
+ if e, ok := err.(DataError); !ok {
+ t.Fatalf("client did not return rpc.DataError, got %#v", e)
+ } else if e.ErrorData() != (testError{}.ErrorData()) {
+ t.Fatalf("wrong error data %#v, want %#v", e.ErrorData(), testError{}.ErrorData())
+ }
+}
+
+func TestClientBatchRequest(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+ client := DialInProc(server)
+ defer client.Close()
+
+ batch := []BatchElem{
+ {
+ Method: "test_echo",
+ Args: []interface{}{"hello", 10, &echoArgs{"world"}},
+ Result: new(echoResult),
+ },
+ {
+ Method: "test_echo",
+ Args: []interface{}{"hello2", 11, &echoArgs{"world"}},
+ Result: new(echoResult),
+ },
+ {
+ Method: "no_such_method",
+ Args: []interface{}{1, 2, 3},
+ Result: new(int),
+ },
+ }
+ if err := client.BatchCall(batch); err != nil {
+ t.Fatal(err)
+ }
+ wantResult := []BatchElem{
+ {
+ Method: "test_echo",
+ Args: []interface{}{"hello", 10, &echoArgs{"world"}},
+ Result: &echoResult{"hello", 10, &echoArgs{"world"}},
+ },
+ {
+ Method: "test_echo",
+ Args: []interface{}{"hello2", 11, &echoArgs{"world"}},
+ Result: &echoResult{"hello2", 11, &echoArgs{"world"}},
+ },
+ {
+ Method: "no_such_method",
+ Args: []interface{}{1, 2, 3},
+ Result: new(int),
+ Error: &jsonError{Code: -32601, Message: "the method no_such_method does not exist/is not available"},
+ },
+ }
+ if !reflect.DeepEqual(batch, wantResult) {
+ t.Errorf("batch results mismatch:\ngot %swant %s", spew.Sdump(batch), spew.Sdump(wantResult))
+ }
+}
+
+// This checks that, for HTTP connections, the length of batch responses is validated to
+// match the request exactly.
+func TestClientBatchRequest_len(t *testing.T) {
+ t.Parallel()
+
+ b, err := json.Marshal([]jsonrpcMessage{
+ {Version: "2.0", ID: json.RawMessage("1"), Result: json.RawMessage(`"0x1"`)},
+ {Version: "2.0", ID: json.RawMessage("2"), Result: json.RawMessage(`"0x2"`)},
+ })
+ if err != nil {
+ t.Fatal("failed to encode jsonrpc message:", err)
+ }
+ s := httptest.NewServer(http.HandlerFunc(func(rw http.ResponseWriter, r *http.Request) {
+ _, err := rw.Write(b)
+ if err != nil {
+ t.Error("failed to write response:", err)
+ }
+ }))
+ t.Cleanup(s.Close)
+
+ t.Run("too-few", func(t *testing.T) {
+ t.Parallel()
+
+ client, err := Dial(s.URL)
+ if err != nil {
+ t.Fatal("failed to dial test server:", err)
+ }
+ defer client.Close()
+
+ batch := []BatchElem{
+ {Method: "foo", Result: new(string)},
+ {Method: "bar", Result: new(string)},
+ {Method: "baz", Result: new(string)},
+ }
+ ctx, cancelFn := context.WithTimeout(context.Background(), time.Second)
+ defer cancelFn()
+
+ if err := client.BatchCallContext(ctx, batch); err != nil {
+ t.Fatal("error:", err)
+ }
+ for i, elem := range batch[:2] {
+ if elem.Error != nil {
+ t.Errorf("expected no error for batch element %d, got %q", i, elem.Error)
+ }
+ }
+ for i, elem := range batch[2:] {
+ if elem.Error != ErrMissingBatchResponse {
+ t.Errorf("wrong error %q for batch element %d", elem.Error, i+2)
+ }
+ }
+ })
+
+ t.Run("too-many", func(t *testing.T) {
+ t.Parallel()
+
+ client, err := Dial(s.URL)
+ if err != nil {
+ t.Fatal("failed to dial test server:", err)
+ }
+ defer client.Close()
+
+ batch := []BatchElem{
+ {Method: "foo", Result: new(string)},
+ }
+ ctx, cancelFn := context.WithTimeout(context.Background(), time.Second)
+ defer cancelFn()
+
+ if err := client.BatchCallContext(ctx, batch); err != nil {
+ t.Fatal("error:", err)
+ }
+ for i, elem := range batch[:1] {
+ if elem.Error != nil {
+ t.Errorf("expected no error for batch element %d, got %q", i, elem.Error)
+ }
+ }
+ for i, elem := range batch[1:] {
+ if elem.Error != ErrMissingBatchResponse {
+ t.Errorf("wrong error %q for batch element %d", elem.Error, i+2)
+ }
+ }
+ })
+}
+
+// This checks that the client can handle the case where the server doesn't
+// respond to all requests in a batch.
+func TestClientBatchRequestLimit(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+ server.SetBatchLimits(2, 100000)
+ client := DialInProc(server)
+ defer client.Close()
+
+ batch := []BatchElem{
+ {Method: "foo"},
+ {Method: "bar"},
+ {Method: "baz"},
+ }
+ err := client.BatchCall(batch)
+ if err != nil {
+ t.Fatal("unexpected error:", err)
+ }
+
+ // Check that the first response indicates an error with batch size.
+ var err0 Error
+ if !errors.As(batch[0].Error, &err0) {
+ t.Log("error zero:", batch[0].Error)
+ t.Fatalf("batch elem 0 has wrong error type: %T", batch[0].Error)
+ } else {
+ if err0.ErrorCode() != -32600 || err0.Error() != errMsgBatchTooLarge {
+ t.Fatalf("wrong error on batch elem zero: %v", err0)
+ }
+ }
+
+ // Check that remaining response batch elements are reported as absent.
+ for i, elem := range batch[1:] {
+ if elem.Error != ErrMissingBatchResponse {
+ t.Fatalf("batch elem %d has unexpected error: %v", i+1, elem.Error)
+ }
+ }
+}
+
+func TestClientNotify(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+ client := DialInProc(server)
+ defer client.Close()
+
+ if err := client.Notify(context.Background(), "test_echo", "hello", 10, &echoArgs{"world"}); err != nil {
+ t.Fatal(err)
+ }
+}
+
+// func TestClientCancelInproc(t *testing.T) { testClientCancel("inproc", t) }
+func TestClientCancelWebsocket(t *testing.T) { testClientCancel("ws", t) }
+func TestClientCancelHTTP(t *testing.T) { testClientCancel("http", t) }
+func TestClientCancelIPC(t *testing.T) { testClientCancel("ipc", t) }
+
+// This test checks that requests made through CallContext can be canceled by canceling
+// the context.
+func testClientCancel(transport string, t *testing.T) {
+ // These tests take a lot of time, run them all at once.
+ // You probably want to run with -parallel 1 or comment out
+ // the call to t.Parallel if you enable the logging.
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+
+ // What we want to achieve is that the context gets canceled
+ // at various stages of request processing. The interesting cases
+ // are:
+ // - cancel during dial
+ // - cancel while performing a HTTP request
+ // - cancel while waiting for a response
+ //
+ // To trigger those, the times are chosen such that connections
+ // are killed within the deadline for every other call (maxKillTimeout
+ // is 2x maxCancelTimeout).
+ //
+ // Once a connection is dead, there is a fair chance it won't connect
+ // successfully because the accept is delayed by 1s.
+ maxContextCancelTimeout := 300 * time.Millisecond
+ fl := &flakeyListener{
+ maxAcceptDelay: 1 * time.Second,
+ maxKillTimeout: 600 * time.Millisecond,
+ }
+
+ var client *Client
+ switch transport {
+ case "ws", "http":
+ c, hs := httpTestClient(server, transport, fl)
+ defer hs.Close()
+ client = c
+ case "ipc":
+ c, l := ipcTestClient(server, fl)
+ defer l.Close()
+ client = c
+ default:
+ panic("unknown transport: " + transport)
+ }
+ defer client.Close()
+
+ // The actual test starts here.
+ var (
+ wg sync.WaitGroup
+ nreqs = 10
+ ncallers = 10
+ )
+ caller := func(index int) {
+ defer wg.Done()
+ for i := 0; i < nreqs; i++ {
+ var (
+ ctx context.Context
+ cancel func()
+ timeout = time.Duration(rand.Int63n(int64(maxContextCancelTimeout)))
+ )
+ if index < ncallers/2 {
+ // For half of the callers, create a context without deadline
+ // and cancel it later.
+ ctx, cancel = context.WithCancel(context.Background())
+ time.AfterFunc(timeout, cancel)
+ } else {
+ // For the other half, create a context with a deadline instead. This is
+ // different because the context deadline is used to set the socket write
+ // deadline.
+ ctx, cancel = context.WithTimeout(context.Background(), timeout)
+ }
+
+ // Now perform a call with the context.
+ // The key thing here is that no call will ever complete successfully.
+ err := client.CallContext(ctx, nil, "test_block")
+ switch {
+ case err == nil:
+ _, hasDeadline := ctx.Deadline()
+ t.Errorf("no error for call with %v wait time (deadline: %v)", timeout, hasDeadline)
+ // default:
+ // t.Logf("got expected error with %v wait time: %v", timeout, err)
+ }
+ cancel()
+ }
+ }
+ wg.Add(ncallers)
+ for i := 0; i < ncallers; i++ {
+ go caller(i)
+ }
+ wg.Wait()
+}
+
+func TestClientSubscribeInvalidArg(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+ client := DialInProc(server)
+ defer client.Close()
+
+ check := func(shouldPanic bool, arg interface{}) {
+ defer func() {
+ err := recover()
+ if shouldPanic && err == nil {
+ t.Errorf("EthSubscribe should've panicked for %#v", arg)
+ }
+ if !shouldPanic && err != nil {
+ t.Errorf("EthSubscribe shouldn't have panicked for %#v", arg)
+ buf := make([]byte, 1024*1024)
+ buf = buf[:runtime.Stack(buf, false)]
+ t.Error(err)
+ t.Error(string(buf))
+ }
+ }()
+ client.EthSubscribe(context.Background(), arg, "foo_bar")
+ }
+ check(true, nil)
+ check(true, 1)
+ check(true, (chan int)(nil))
+ check(true, make(<-chan int))
+ check(false, make(chan int))
+ check(false, make(chan<- int))
+}
+
+func TestClientSubscribe(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+ client := DialInProc(server)
+ defer client.Close()
+
+ nc := make(chan int)
+ count := 10
+ sub, err := client.Subscribe(context.Background(), "nftest", nc, "someSubscription", count, 0)
+ if err != nil {
+ t.Fatal("can't subscribe:", err)
+ }
+ for i := 0; i < count; i++ {
+ if val := <-nc; val != i {
+ t.Fatalf("value mismatch: got %d, want %d", val, i)
+ }
+ }
+
+ sub.Unsubscribe()
+ select {
+ case v := <-nc:
+ t.Fatal("received value after unsubscribe:", v)
+ case err := <-sub.Err():
+ if err != nil {
+ t.Fatalf("Err returned a non-nil error after explicit unsubscribe: %q", err)
+ }
+ case <-time.After(1 * time.Second):
+ t.Fatalf("subscription not closed within 1s after unsubscribe")
+ }
+}
+
+// In this test, the connection drops while Subscribe is waiting for a response.
+func TestClientSubscribeClose(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ service := ¬ificationTestService{
+ gotHangSubscriptionReq: make(chan struct{}),
+ unblockHangSubscription: make(chan struct{}),
+ }
+ if err := server.RegisterName("nftest2", service); err != nil {
+ t.Fatal(err)
+ }
+
+ defer server.Stop()
+ client := DialInProc(server)
+ defer client.Close()
+
+ var (
+ nc = make(chan int)
+ errc = make(chan error, 1)
+ sub *ClientSubscription
+ err error
+ )
+ go func() {
+ sub, err = client.Subscribe(context.Background(), "nftest2", nc, "hangSubscription", 999)
+ errc <- err
+ }()
+
+ <-service.gotHangSubscriptionReq
+ client.Close()
+ service.unblockHangSubscription <- struct{}{}
+
+ select {
+ case err := <-errc:
+ if err == nil {
+ t.Errorf("Subscribe returned nil error after Close")
+ }
+ if sub != nil {
+ t.Error("Subscribe returned non-nil subscription after Close")
+ }
+ case <-time.After(1 * time.Second):
+ t.Fatalf("Subscribe did not return within 1s after Close")
+ }
+}
+
+// This test reproduces https://github.com/ethereum/go-ethereum/issues/17837 where the
+// client hangs during shutdown when Unsubscribe races with Client.Close.
+func TestClientCloseUnsubscribeRace(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+
+ for i := 0; i < 20; i++ {
+ client := DialInProc(server)
+ nc := make(chan int)
+ sub, err := client.Subscribe(context.Background(), "nftest", nc, "someSubscription", 3, 1)
+ if err != nil {
+ t.Fatal(err)
+ }
+ go client.Close()
+ go sub.Unsubscribe()
+ select {
+ case <-sub.Err():
+ case <-time.After(5 * time.Second):
+ t.Fatal("subscription not closed within timeout")
+ }
+ }
+}
+
+// unsubscribeBlocker will wait for the quit channel to process an unsubscribe
+// request.
+type unsubscribeBlocker struct {
+ ServerCodec
+ quit chan struct{}
+}
+
+func (b *unsubscribeBlocker) readBatch() ([]*jsonrpcMessage, bool, error) {
+ msgs, batch, err := b.ServerCodec.readBatch()
+ for _, msg := range msgs {
+ if msg.isUnsubscribe() {
+ <-b.quit
+ }
+ }
+ return msgs, batch, err
+}
+
+// TestUnsubscribeTimeout verifies that calling the client's Unsubscribe
+// function will eventually timeout and not block forever in case the serve does
+// not respond.
+// It reproducers the issue https://github.com/ethereum/go-ethereum/issues/30156
+func TestUnsubscribeTimeout(t *testing.T) {
+ t.Parallel()
+
+ srv := NewServer()
+ srv.RegisterName("nftest", new(notificationTestService))
+
+ // Setup middleware to block on unsubscribe.
+ p1, p2 := net.Pipe()
+ blocker := &unsubscribeBlocker{ServerCodec: NewCodec(p1), quit: make(chan struct{})}
+ defer close(blocker.quit)
+
+ // Serve the middleware.
+ go srv.ServeCodec(blocker, OptionMethodInvocation|OptionSubscriptions)
+ defer srv.Stop()
+
+ // Create the client on the other end of the pipe.
+ cfg := new(clientConfig)
+ client, _ := newClient(context.Background(), cfg, func(context.Context) (ServerCodec, error) {
+ return NewCodec(p2), nil
+ })
+ defer client.Close()
+
+ // Start subscription.
+ sub, err := client.Subscribe(context.Background(), "nftest", make(chan int), "someSubscription", 1, 1)
+ if err != nil {
+ t.Fatalf("failed to subscribe: %v", err)
+ }
+
+ // Now on a separate thread, attempt to unsubscribe. Since the middleware
+ // won't return, the function will only return if it times out on the request.
+ done := make(chan struct{})
+ go func() {
+ sub.Unsubscribe()
+ done <- struct{}{}
+ }()
+
+ // Wait for the timeout. If the expected time for the timeout elapses, the
+ // test is considered failed.
+ select {
+ case <-done:
+ case <-time.After(unsubscribeTimeout + 3*time.Second):
+ t.Fatalf("Unsubscribe did not return within %s", unsubscribeTimeout)
+ }
+}
+
+// unsubscribeRecorder collects the subscription IDs of *_unsubscribe calls.
+type unsubscribeRecorder struct {
+ ServerCodec
+ unsubscribes map[string]bool
+}
+
+func (r *unsubscribeRecorder) readBatch() ([]*jsonrpcMessage, bool, error) {
+ if r.unsubscribes == nil {
+ r.unsubscribes = make(map[string]bool)
+ }
+
+ msgs, batch, err := r.ServerCodec.readBatch()
+ for _, msg := range msgs {
+ if msg.isUnsubscribe() {
+ var params []string
+ if err := json.Unmarshal(msg.Params, ¶ms); err != nil {
+ panic("unsubscribe decode error: " + err.Error())
+ }
+ r.unsubscribes[params[0]] = true
+ }
+ }
+ return msgs, batch, err
+}
+
+// This checks that Client calls the _unsubscribe method on the server when Unsubscribe is
+// called on a subscription.
+func TestClientSubscriptionUnsubscribeServer(t *testing.T) {
+ t.Parallel()
+
+ // Create the server.
+ srv := NewServer()
+ srv.RegisterName("nftest", new(notificationTestService))
+ p1, p2 := net.Pipe()
+ recorder := &unsubscribeRecorder{ServerCodec: NewCodec(p1)}
+ go srv.ServeCodec(recorder, OptionMethodInvocation|OptionSubscriptions)
+ defer srv.Stop()
+
+ // Create the client on the other end of the pipe.
+ cfg := new(clientConfig)
+ client, _ := newClient(context.Background(), cfg, func(context.Context) (ServerCodec, error) {
+ return NewCodec(p2), nil
+ })
+ defer client.Close()
+
+ // Create the subscription.
+ ch := make(chan int)
+ sub, err := client.Subscribe(context.Background(), "nftest", ch, "someSubscription", 1, 1)
+ if err != nil {
+ t.Fatal(err)
+ }
+
+ // Unsubscribe and check that unsubscribe was called.
+ sub.Unsubscribe()
+ if !recorder.unsubscribes[sub.subid] {
+ t.Fatal("client did not call unsubscribe method")
+ }
+ if _, open := <-sub.Err(); open {
+ t.Fatal("subscription error channel not closed after unsubscribe")
+ }
+}
+
+// This checks that the subscribed channel can be closed after Unsubscribe.
+// It is the reproducer for https://github.com/ethereum/go-ethereum/issues/22322
+func TestClientSubscriptionChannelClose(t *testing.T) {
+ t.Parallel()
+
+ var (
+ srv = NewServer()
+ httpsrv = httptest.NewServer(srv.WebsocketHandler(nil))
+ wsURL = "ws:" + strings.TrimPrefix(httpsrv.URL, "http:")
+ )
+ defer srv.Stop()
+ defer httpsrv.Close()
+
+ srv.RegisterName("nftest", new(notificationTestService))
+ client, _ := Dial(wsURL)
+ defer client.Close()
+
+ for i := 0; i < 100; i++ {
+ ch := make(chan int, 100)
+ sub, err := client.Subscribe(context.Background(), "nftest", ch, "someSubscription", 100, 1)
+ if err != nil {
+ t.Fatal(err)
+ }
+ sub.Unsubscribe()
+ close(ch)
+ }
+}
+
+// This test checks that Client doesn't lock up when a single subscriber
+// doesn't read subscription events.
+func TestClientNotificationStorm(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+
+ doTest := func(count int, wantError bool) {
+ client := DialInProc(server)
+ defer client.Close()
+ ctx, cancel := context.WithTimeout(context.Background(), 10*time.Second)
+ defer cancel()
+
+ // Subscribe on the server. It will start sending many notifications
+ // very quickly.
+ nc := make(chan int)
+ sub, err := client.Subscribe(ctx, "nftest", nc, "someSubscription", count, 0)
+ if err != nil {
+ t.Fatal("can't subscribe:", err)
+ }
+ defer sub.Unsubscribe()
+
+ // Process each notification, try to run a call in between each of them.
+ for i := 0; i < count; i++ {
+ select {
+ case val := <-nc:
+ if val != i {
+ t.Fatalf("(%d/%d) unexpected value %d", i, count, val)
+ }
+ case err := <-sub.Err():
+ if wantError && err != ErrSubscriptionQueueOverflow {
+ t.Fatalf("(%d/%d) got error %q, want %q", i, count, err, ErrSubscriptionQueueOverflow)
+ } else if !wantError {
+ t.Fatalf("(%d/%d) got unexpected error %q", i, count, err)
+ }
+ return
+ }
+ var r int
+ err := client.CallContext(ctx, &r, "nftest_echo", i)
+ if err != nil {
+ if !wantError {
+ t.Fatalf("(%d/%d) call error: %v", i, count, err)
+ }
+ return
+ }
+ }
+ if wantError {
+ t.Fatalf("didn't get expected error")
+ }
+ }
+
+ doTest(8000, false)
+ doTest(24000, true)
+}
+
+func TestClientSetHeader(t *testing.T) {
+ t.Parallel()
+
+ var gotHeader bool
+ srv := newTestServer()
+ httpsrv := httptest.NewServer(http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+ if r.Header.Get("test") == "ok" {
+ gotHeader = true
+ }
+ srv.ServeHTTP(w, r)
+ }))
+ defer httpsrv.Close()
+ defer srv.Stop()
+
+ client, err := Dial(httpsrv.URL)
+ if err != nil {
+ t.Fatal(err)
+ }
+ defer client.Close()
+
+ client.SetHeader("test", "ok")
+ if _, err := client.SupportedModules(); err != nil {
+ t.Fatal(err)
+ }
+ if !gotHeader {
+ t.Fatal("client did not set custom header")
+ }
+
+ // Check that Content-Type can be replaced.
+ client.SetHeader("content-type", "application/x-garbage")
+ _, err = client.SupportedModules()
+ if err == nil {
+ t.Fatal("no error for invalid content-type header")
+ } else if !strings.Contains(err.Error(), "Unsupported Media Type") {
+ t.Fatalf("error is not related to content-type: %q", err)
+ }
+}
+
+func TestClientHTTP(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+
+ client, hs := httpTestClient(server, "http", nil)
+ defer hs.Close()
+ defer client.Close()
+
+ // Launch concurrent requests.
+ var (
+ results = make([]echoResult, 100)
+ errc = make(chan error, len(results))
+ wantResult = echoResult{"a", 1, new(echoArgs)}
+ )
+ for i := range results {
+ go func() {
+ errc <- client.Call(&results[i], "test_echo", wantResult.String, wantResult.Int, wantResult.Args)
+ }()
+ }
+
+ // Wait for all of them to complete.
+ timeout := time.NewTimer(5 * time.Second)
+ defer timeout.Stop()
+ for i := range results {
+ select {
+ case err := <-errc:
+ if err != nil {
+ t.Fatal(err)
+ }
+ case <-timeout.C:
+ t.Fatalf("timeout (got %d/%d) results)", i+1, len(results))
+ }
+ }
+
+ // Check results.
+ for i := range results {
+ if !reflect.DeepEqual(results[i], wantResult) {
+ t.Errorf("result %d mismatch: got %#v, want %#v", i, results[i], wantResult)
+ }
+ }
+}
+
+func TestClientReconnect(t *testing.T) {
+ t.Parallel()
+
+ startServer := func(addr string) (*Server, net.Listener) {
+ srv := newTestServer()
+ l, err := net.Listen("tcp", addr)
+ if err != nil {
+ t.Fatal("can't listen:", err)
+ }
+ go http.Serve(l, srv.WebsocketHandler([]string{"*"}))
+ return srv, l
+ }
+
+ ctx, cancel := context.WithTimeout(context.Background(), 12*time.Second)
+ defer cancel()
+
+ // Start a server and corresponding client.
+ s1, l1 := startServer("127.0.0.1:0")
+ client, err := DialContext(ctx, "ws://"+l1.Addr().String())
+ if err != nil {
+ t.Fatal("can't dial", err)
+ }
+ defer client.Close()
+
+ // Perform a call. This should work because the server is up.
+ var resp echoResult
+ if err := client.CallContext(ctx, &resp, "test_echo", "", 1, nil); err != nil {
+ t.Fatal(err)
+ }
+
+ // Shut down the server and allow for some cool down time so we can listen on the same
+ // address again.
+ l1.Close()
+ s1.Stop()
+ time.Sleep(2 * time.Second)
+
+ // Try calling again. It shouldn't work.
+ if err := client.CallContext(ctx, &resp, "test_echo", "", 2, nil); err == nil {
+ t.Error("successful call while the server is down")
+ t.Logf("resp: %#v", resp)
+ }
+
+ // Start it up again and call again. The connection should be reestablished.
+ // We spawn multiple calls here to check whether this hangs somehow.
+ s2, l2 := startServer(l1.Addr().String())
+ defer l2.Close()
+ defer s2.Stop()
+
+ start := make(chan struct{})
+ errors := make(chan error, 20)
+ for i := 0; i < cap(errors); i++ {
+ go func() {
+ <-start
+ var resp echoResult
+ errors <- client.CallContext(ctx, &resp, "test_echo", "", 3, nil)
+ }()
+ }
+ close(start)
+ errcount := 0
+ for i := 0; i < cap(errors); i++ {
+ if err = <-errors; err != nil {
+ errcount++
+ }
+ }
+ t.Logf("%d errors, last error: %v", errcount, err)
+ if errcount > 1 {
+ t.Errorf("expected one error after disconnect, got %d", errcount)
+ }
+}
+
+func httpTestClient(srv *Server, transport string, fl *flakeyListener) (*Client, *httptest.Server) {
+ // Create the HTTP server.
+ var hs *httptest.Server
+ switch transport {
+ case "ws":
+ hs = httptest.NewUnstartedServer(srv.WebsocketHandler([]string{"*"}))
+ case "http":
+ hs = httptest.NewUnstartedServer(srv)
+ default:
+ panic("unknown HTTP transport: " + transport)
+ }
+ // Wrap the listener if required.
+ if fl != nil {
+ fl.Listener = hs.Listener
+ hs.Listener = fl
+ }
+ // Connect the client.
+ hs.Start()
+ client, err := Dial(transport + "://" + hs.Listener.Addr().String())
+ if err != nil {
+ panic(err)
+ }
+ return client, hs
+}
+
+func ipcTestClient(srv *Server, fl *flakeyListener) (*Client, net.Listener) {
+ // Listen on a random endpoint.
+ endpoint := fmt.Sprintf("go-ethereum-test-ipc-%d-%d", os.Getpid(), rand.Int63())
+ if runtime.GOOS == "windows" {
+ endpoint = `\\.\pipe\` + endpoint
+ } else {
+ endpoint = os.TempDir() + "/" + endpoint
+ }
+ l, err := ipcListen(endpoint)
+ if err != nil {
+ panic(err)
+ }
+ // Connect the listener to the server.
+ if fl != nil {
+ fl.Listener = l
+ l = fl
+ }
+ go srv.ServeListener(l)
+ // Connect the client.
+ client, err := Dial(endpoint)
+ if err != nil {
+ panic(err)
+ }
+ return client, l
+}
+
+// flakeyListener kills accepted connections after a random timeout.
+type flakeyListener struct {
+ net.Listener
+ maxKillTimeout time.Duration
+ maxAcceptDelay time.Duration
+}
+
+func (l *flakeyListener) Accept() (net.Conn, error) {
+ delay := time.Duration(rand.Int63n(int64(l.maxAcceptDelay)))
+ time.Sleep(delay)
+
+ c, err := l.Listener.Accept()
+ if err == nil {
+ timeout := time.Duration(rand.Int63n(int64(l.maxKillTimeout)))
+ time.AfterFunc(timeout, func() {
+ log.Debug(fmt.Sprintf("killing conn %v after %v", c.LocalAddr(), timeout))
+ c.Close()
+ })
+ }
+ return c, err
+}
diff --git a/go-ethereum/rpc/_server_test.go b/go-ethereum/rpc/_server_test.go
new file mode 100644
index 00000000..9ee545d8
--- /dev/null
+++ b/go-ethereum/rpc/_server_test.go
@@ -0,0 +1,204 @@
+// Copyright 2015 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package rpc
+
+import (
+ "bufio"
+ "bytes"
+ "io"
+ "net"
+ "os"
+ "path/filepath"
+ "strings"
+ "testing"
+ "time"
+)
+
+func TestServerRegisterName(t *testing.T) {
+ t.Parallel()
+
+ server := NewServer()
+ service := new(testService)
+
+ svcName := "test"
+ if err := server.RegisterName(svcName, service); err != nil {
+ t.Fatalf("%v", err)
+ }
+
+ if len(server.services.services) != 2 {
+ t.Fatalf("Expected 2 service entries, got %d", len(server.services.services))
+ }
+
+ svc, ok := server.services.services[svcName]
+ if !ok {
+ t.Fatalf("Expected service %s to be registered", svcName)
+ }
+
+ wantCallbacks := 14
+ if len(svc.callbacks) != wantCallbacks {
+ t.Errorf("Expected %d callbacks for service 'service', got %d", wantCallbacks, len(svc.callbacks))
+ }
+}
+
+func TestServer(t *testing.T) {
+ t.Parallel()
+
+ files, err := os.ReadDir("testdata")
+ if err != nil {
+ t.Fatal("where'd my testdata go?")
+ }
+ for _, f := range files {
+ if f.IsDir() || strings.HasPrefix(f.Name(), ".") {
+ continue
+ }
+ path := filepath.Join("testdata", f.Name())
+ name := strings.TrimSuffix(f.Name(), filepath.Ext(f.Name()))
+ t.Run(name, func(t *testing.T) {
+ t.Parallel()
+
+ runTestScript(t, path)
+ })
+ }
+}
+
+func runTestScript(t *testing.T, file string) {
+ server := newTestServer()
+ server.SetBatchLimits(4, 100000)
+ content, err := os.ReadFile(file)
+ if err != nil {
+ t.Fatal(err)
+ }
+
+ clientConn, serverConn := net.Pipe()
+ defer clientConn.Close()
+ go server.ServeCodec(NewCodec(serverConn), 0)
+ readbuf := bufio.NewReader(clientConn)
+ for _, line := range strings.Split(string(content), "\n") {
+ line = strings.TrimSpace(line)
+ switch {
+ case len(line) == 0 || strings.HasPrefix(line, "//"):
+ // skip comments, blank lines
+ continue
+ case strings.HasPrefix(line, "--> "):
+ t.Log(line)
+ // write to connection
+ clientConn.SetWriteDeadline(time.Now().Add(5 * time.Second))
+ if _, err := io.WriteString(clientConn, line[4:]+"\n"); err != nil {
+ t.Fatalf("write error: %v", err)
+ }
+ case strings.HasPrefix(line, "<-- "):
+ t.Log(line)
+ want := line[4:]
+ // read line from connection and compare text
+ clientConn.SetReadDeadline(time.Now().Add(5 * time.Second))
+ sent, err := readbuf.ReadString('\n')
+ if err != nil {
+ t.Fatalf("read error: %v", err)
+ }
+ sent = strings.TrimRight(sent, "\r\n")
+ if sent != want {
+ t.Errorf("wrong line from server\ngot: %s\nwant: %s", sent, want)
+ }
+ default:
+ panic("invalid line in test script: " + line)
+ }
+ }
+}
+
+// This test checks that responses are delivered for very short-lived connections that
+// only carry a single request.
+func TestServerShortLivedConn(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+
+ listener, err := net.Listen("tcp", "127.0.0.1:0")
+ if err != nil {
+ t.Fatal("can't listen:", err)
+ }
+ defer listener.Close()
+ go server.ServeListener(listener)
+
+ var (
+ request = `{"jsonrpc":"2.0","id":1,"method":"rpc_modules"}` + "\n"
+ wantResp = `{"jsonrpc":"2.0","id":1,"result":{"nftest":"1.0","rpc":"1.0","test":"1.0"}}` + "\n"
+ deadline = time.Now().Add(10 * time.Second)
+ )
+ for i := 0; i < 20; i++ {
+ conn, err := net.Dial("tcp", listener.Addr().String())
+ if err != nil {
+ t.Fatal("can't dial:", err)
+ }
+
+ conn.SetDeadline(deadline)
+ // Write the request, then half-close the connection so the server stops reading.
+ conn.Write([]byte(request))
+ conn.(*net.TCPConn).CloseWrite()
+ // Now try to get the response.
+ buf := make([]byte, 2000)
+ n, err := conn.Read(buf)
+ conn.Close()
+
+ if err != nil {
+ t.Fatal("read error:", err)
+ }
+ if !bytes.Equal(buf[:n], []byte(wantResp)) {
+ t.Fatalf("wrong response: %s", buf[:n])
+ }
+ }
+}
+
+func TestServerBatchResponseSizeLimit(t *testing.T) {
+ t.Parallel()
+
+ server := newTestServer()
+ defer server.Stop()
+ server.SetBatchLimits(100, 60)
+ var (
+ batch []BatchElem
+ client = DialInProc(server)
+ )
+ for i := 0; i < 5; i++ {
+ batch = append(batch, BatchElem{
+ Method: "test_echo",
+ Args: []any{"x", 1},
+ Result: new(echoResult),
+ })
+ }
+ if err := client.BatchCall(batch); err != nil {
+ t.Fatal("error sending batch:", err)
+ }
+ for i := range batch {
+ // We expect the first two queries to be ok, but after that the size limit takes effect.
+ if i < 2 {
+ if batch[i].Error != nil {
+ t.Fatalf("batch elem %d has unexpected error: %v", i, batch[i].Error)
+ }
+ continue
+ }
+ // After two, we expect an error.
+ re, ok := batch[i].Error.(Error)
+ if !ok {
+ t.Fatalf("batch elem %d has wrong error: %v", i, batch[i].Error)
+ }
+ wantedCode := errcodeResponseTooLarge
+ if re.ErrorCode() != wantedCode {
+ t.Errorf("batch elem %d wrong error code, have %d want %d", i, re.ErrorCode(), wantedCode)
+ }
+ }
+}
diff --git a/go-ethereum/rpc/client.go b/go-ethereum/rpc/client.go
index 9107ab4b..0467ccff 100644
--- a/go-ethereum/rpc/client.go
+++ b/go-ethereum/rpc/client.go
@@ -45,6 +45,7 @@ var (
const (
defaultDialTimeout = 10 * time.Second // used if context has no deadline
subscribeTimeout = 10 * time.Second // overall timeout eth_subscribe, rpc_modules calls
+ unsubscribeTimeout = 10 * time.Second // timeout for *_unsubscribe calls
)
const (
diff --git a/go-ethereum/rpc/client_example_test.go b/go-ethereum/rpc/client_example_test.go
new file mode 100644
index 00000000..3d7871e0
--- /dev/null
+++ b/go-ethereum/rpc/client_example_test.go
@@ -0,0 +1,89 @@
+// Copyright 2016 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package rpc_test
+
+import (
+ "context"
+ "fmt"
+ "time"
+
+ "github.com/0xsequence/ethkit/go-ethereum/common/hexutil"
+ "github.com/0xsequence/ethkit/go-ethereum/rpc"
+)
+
+// In this example, our client wishes to track the latest 'block number'
+// known to the server. The server supports two methods:
+//
+// eth_getBlockByNumber("latest", {})
+// returns the latest block object.
+//
+// eth_subscribe("newHeads")
+// creates a subscription which fires block objects when new blocks arrive.
+
+type Block struct {
+ Number *hexutil.Big
+}
+
+func ExampleClientSubscription() {
+ // Connect the client.
+ client, _ := rpc.Dial("ws://127.0.0.1:8545")
+ subch := make(chan Block)
+
+ // Ensure that subch receives the latest block.
+ go func() {
+ for i := 0; ; i++ {
+ if i > 0 {
+ time.Sleep(2 * time.Second)
+ }
+ subscribeBlocks(client, subch)
+ }
+ }()
+
+ // Print events from the subscription as they arrive.
+ for block := range subch {
+ fmt.Println("latest block:", block.Number)
+ }
+}
+
+// subscribeBlocks runs in its own goroutine and maintains
+// a subscription for new blocks.
+func subscribeBlocks(client *rpc.Client, subch chan Block) {
+ ctx, cancel := context.WithTimeout(context.Background(), 10*time.Second)
+ defer cancel()
+
+ // Subscribe to new blocks.
+ sub, err := client.EthSubscribe(ctx, subch, "newHeads")
+ if err != nil {
+ fmt.Println("subscribe error:", err)
+ return
+ }
+
+ // The connection is established now.
+ // Update the channel with the current block.
+ var lastBlock Block
+ err = client.CallContext(ctx, &lastBlock, "eth_getBlockByNumber", "latest", false)
+ if err != nil {
+ fmt.Println("can't get latest block:", err)
+ return
+ }
+ subch <- lastBlock
+
+ // The subscription will deliver events to the channel. Wait for the
+ // subscription to end for any reason, then loop around to re-establish
+ // the connection.
+ fmt.Println("connection lost: ", <-sub.Err())
+}
diff --git a/go-ethereum/rpc/client_opt_test.go b/go-ethereum/rpc/client_opt_test.go
new file mode 100644
index 00000000..b6441547
--- /dev/null
+++ b/go-ethereum/rpc/client_opt_test.go
@@ -0,0 +1,41 @@
+// Copyright 2022 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package rpc_test
+
+import (
+ "context"
+ "net/http"
+ "time"
+
+ "github.com/0xsequence/ethkit/go-ethereum/rpc"
+)
+
+// This example configures a HTTP-based RPC client with two options - one setting the
+// overall request timeout, the other adding a custom HTTP header to all requests.
+func ExampleDialOptions() {
+ tokenHeader := rpc.WithHeader("x-token", "foo")
+ httpClient := rpc.WithHTTPClient(&http.Client{
+ Timeout: 10 * time.Second,
+ })
+
+ ctx := context.Background()
+ c, err := rpc.DialOptions(ctx, "http://rpc.example.com", httpClient, tokenHeader)
+ if err != nil {
+ panic(err)
+ }
+ c.Close()
+}
diff --git a/go-ethereum/rpc/doc.go b/go-ethereum/rpc/doc.go
new file mode 100644
index 00000000..7c87793d
--- /dev/null
+++ b/go-ethereum/rpc/doc.go
@@ -0,0 +1,109 @@
+// Copyright 2015 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+/*
+Package rpc implements bi-directional JSON-RPC 2.0 on multiple transports.
+
+It provides access to the exported methods of an object across a network or other I/O
+connection. After creating a server or client instance, objects can be registered to make
+them visible as 'services'. Exported methods that follow specific conventions can be
+called remotely. It also has support for the publish/subscribe pattern.
+
+# RPC Methods
+
+Methods that satisfy the following criteria are made available for remote access:
+
+ - method must be exported
+ - method returns 0, 1 (response or error) or 2 (response and error) values
+
+An example method:
+
+ func (s *CalcService) Add(a, b int) (int, error)
+
+When the returned error isn't nil the returned integer is ignored and the error is sent
+back to the client. Otherwise the returned integer is sent back to the client.
+
+Optional arguments are supported by accepting pointer values as arguments. E.g. if we want
+to do the addition in an optional finite field we can accept a mod argument as pointer
+value.
+
+ func (s *CalcService) Add(a, b int, mod *int) (int, error)
+
+This RPC method can be called with 2 integers and a null value as third argument. In that
+case the mod argument will be nil. Or it can be called with 3 integers, in that case mod
+will be pointing to the given third argument. Since the optional argument is the last
+argument the RPC package will also accept 2 integers as arguments. It will pass the mod
+argument as nil to the RPC method.
+
+The server offers the ServeCodec method which accepts a ServerCodec instance. It will read
+requests from the codec, process the request and sends the response back to the client
+using the codec. The server can execute requests concurrently. Responses can be sent back
+to the client out of order.
+
+An example server which uses the JSON codec:
+
+ type CalculatorService struct {}
+
+ func (s *CalculatorService) Add(a, b int) int {
+ return a + b
+ }
+
+ func (s *CalculatorService) Div(a, b int) (int, error) {
+ if b == 0 {
+ return 0, errors.New("divide by zero")
+ }
+ return a/b, nil
+ }
+
+ calculator := new(CalculatorService)
+ server := NewServer()
+ server.RegisterName("calculator", calculator)
+ l, _ := net.ListenUnix("unix", &net.UnixAddr{Net: "unix", Name: "/tmp/calculator.sock"})
+ server.ServeListener(l)
+
+# Subscriptions
+
+The package also supports the publish subscribe pattern through the use of subscriptions.
+A method that is considered eligible for notifications must satisfy the following
+criteria:
+
+ - method must be exported
+ - first method argument type must be context.Context
+ - method must have return types (rpc.Subscription, error)
+
+An example method:
+
+ func (s *BlockChainService) NewBlocks(ctx context.Context) (rpc.Subscription, error) {
+ ...
+ }
+
+When the service containing the subscription method is registered to the server, for
+example under the "blockchain" namespace, a subscription is created by calling the
+"blockchain_subscribe" method.
+
+Subscriptions are deleted when the user sends an unsubscribe request or when the
+connection which was used to create the subscription is closed. This can be initiated by
+the client and server. The server will close the connection for any write error.
+
+For more information about subscriptions, see https://github.com/ethereum/go-ethereum/wiki/RPC-PUB-SUB.
+
+# Reverse Calls
+
+In any method handler, an instance of rpc.Client can be accessed through the
+ClientFromContext method. Using this client instance, server-to-client method calls can be
+performed on the RPC connection.
+*/
+package rpc
diff --git a/go-ethereum/rpc/handler.go b/go-ethereum/rpc/handler.go
index c5c62f0a..bf969c81 100644
--- a/go-ethereum/rpc/handler.go
+++ b/go-ethereum/rpc/handler.go
@@ -501,6 +501,10 @@ func (h *handler) handleCall(cp *callProc, msg *jsonrpcMessage) *jsonrpcMessage
if msg.isUnsubscribe() {
callb = h.unsubscribeCb
} else {
+ // Check method name length
+ if len(msg.Method) > maxMethodNameLength {
+ return msg.errorResponse(&invalidRequestError{fmt.Sprintf("method name too long: %d > %d", len(msg.Method), maxMethodNameLength)})
+ }
callb = h.reg.callback(msg.Method)
}
if callb == nil {
@@ -511,7 +515,22 @@ func (h *handler) handleCall(cp *callProc, msg *jsonrpcMessage) *jsonrpcMessage
if err != nil {
return msg.errorResponse(&invalidParamsError{err.Error()})
}
+ // start := time.Now()
answer := h.runMethod(cp.ctx, msg, callb, args)
+
+ // Collect the statistics for RPC calls if metrics is enabled.
+ // We only care about pure rpc call. Filter out subscription.
+ // if callb != h.unsubscribeCb {
+ // rpcRequestGauge.Inc(1)
+ // if answer.Error != nil {
+ // failedRequestGauge.Inc(1)
+ // } else {
+ // successfulRequestGauge.Inc(1)
+ // }
+ // rpcServingTimer.UpdateSince(start)
+ // updateServeTimeHistogram(msg.Method, answer.Error == nil, time.Since(start))
+ // }
+
return answer
}
@@ -521,6 +540,11 @@ func (h *handler) handleSubscribe(cp *callProc, msg *jsonrpcMessage) *jsonrpcMes
return msg.errorResponse(ErrNotificationsUnsupported)
}
+ // Check method name length
+ if len(msg.Method) > maxMethodNameLength {
+ return msg.errorResponse(&invalidRequestError{fmt.Sprintf("subscription name too long: %d > %d", len(msg.Method), maxMethodNameLength)})
+ }
+
// Subscription method name is first argument.
name, err := parseSubscriptionName(msg.Params)
if err != nil {
diff --git a/go-ethereum/rpc/http.go b/go-ethereum/rpc/http.go
index 768ac017..f4b99429 100644
--- a/go-ethereum/rpc/http.go
+++ b/go-ethereum/rpc/http.go
@@ -20,10 +20,14 @@ import (
"bytes"
"context"
"encoding/json"
+ "errors"
+ "fmt"
"io"
"math"
+ "mime"
"net/http"
"net/url"
+ "strconv"
"sync"
"time"
)
@@ -197,12 +201,6 @@ func (c *Client) sendBatchHTTP(ctx context.Context, op *requestOp, msgs []*jsonr
return nil
}
-type nopReadCloser struct {
- io.Reader
-}
-
-func (nopReadCloser) Close() error { return nil }
-
func (hc *httpConn) doRequest(ctx context.Context, msg interface{}) (io.ReadCloser, error) {
body, err := json.Marshal(msg)
if err != nil {
@@ -215,10 +213,6 @@ func (hc *httpConn) doRequest(ctx context.Context, msg interface{}) (io.ReadClos
req.ContentLength = int64(len(body))
req.GetBody = func() (io.ReadCloser, error) { return io.NopCloser(bytes.NewReader(body)), nil }
- req.GetBody = func() (io.ReadCloser, error) {
- return nopReadCloser{bytes.NewReader(body)}, nil
- }
-
// set headers
hc.mu.Lock()
req.Header = hc.headers.Clone()
@@ -252,6 +246,122 @@ func (hc *httpConn) doRequest(ctx context.Context, msg interface{}) (io.ReadClos
return resp.Body, nil
}
+// httpServerConn turns a HTTP connection into a Conn.
+type httpServerConn struct {
+ io.Reader
+ io.Writer
+ r *http.Request
+}
+
+func (s *Server) newHTTPServerConn(r *http.Request, w http.ResponseWriter) ServerCodec {
+ body := io.LimitReader(r.Body, int64(s.httpBodyLimit))
+ conn := &httpServerConn{Reader: body, Writer: w, r: r}
+
+ encoder := func(v any, isErrorResponse bool) error {
+ if !isErrorResponse {
+ return json.NewEncoder(conn).Encode(v)
+ }
+
+ // It's an error response and requires special treatment.
+ //
+ // In case of a timeout error, the response must be written before the HTTP
+ // server's write timeout occurs. So we need to flush the response. The
+ // Content-Length header also needs to be set to ensure the client knows
+ // when it has the full response.
+ encdata, err := json.Marshal(v)
+ if err != nil {
+ return err
+ }
+ w.Header().Set("content-length", strconv.Itoa(len(encdata)))
+
+ // If this request is wrapped in a handler that might remove Content-Length (such
+ // as the automatic gzip we do in package node), we need to ensure the HTTP server
+ // doesn't perform chunked encoding. In case WriteTimeout is reached, the chunked
+ // encoding might not be finished correctly, and some clients do not like it when
+ // the final chunk is missing.
+ w.Header().Set("transfer-encoding", "identity")
+
+ _, err = w.Write(encdata)
+ if f, ok := w.(http.Flusher); ok {
+ f.Flush()
+ }
+ return err
+ }
+
+ dec := json.NewDecoder(conn)
+ dec.UseNumber()
+
+ return NewFuncCodec(conn, encoder, dec.Decode)
+}
+
+// Close does nothing and always returns nil.
+func (t *httpServerConn) Close() error { return nil }
+
+// RemoteAddr returns the peer address of the underlying connection.
+func (t *httpServerConn) RemoteAddr() string {
+ return t.r.RemoteAddr
+}
+
+// SetWriteDeadline does nothing and always returns nil.
+func (t *httpServerConn) SetWriteDeadline(time.Time) error { return nil }
+
+// ServeHTTP serves JSON-RPC requests over HTTP.
+func (s *Server) ServeHTTP(w http.ResponseWriter, r *http.Request) {
+ // Permit dumb empty requests for remote health-checks (AWS)
+ if r.Method == http.MethodGet && r.ContentLength == 0 && r.URL.RawQuery == "" {
+ w.WriteHeader(http.StatusOK)
+ return
+ }
+ if code, err := s.validateRequest(r); err != nil {
+ http.Error(w, err.Error(), code)
+ return
+ }
+
+ // Create request-scoped context.
+ connInfo := PeerInfo{Transport: "http", RemoteAddr: r.RemoteAddr}
+ connInfo.HTTP.Version = r.Proto
+ connInfo.HTTP.Host = r.Host
+ connInfo.HTTP.Origin = r.Header.Get("Origin")
+ connInfo.HTTP.UserAgent = r.Header.Get("User-Agent")
+ ctx := r.Context()
+ ctx = context.WithValue(ctx, peerInfoContextKey{}, connInfo)
+
+ // All checks passed, create a codec that reads directly from the request body
+ // until EOF, writes the response to w, and orders the server to process a
+ // single request.
+ w.Header().Set("content-type", contentType)
+ codec := s.newHTTPServerConn(r, w)
+ defer codec.close()
+ s.serveSingleRequest(ctx, codec)
+}
+
+// validateRequest returns a non-zero response code and error message if the
+// request is invalid.
+func (s *Server) validateRequest(r *http.Request) (int, error) {
+ if r.Method == http.MethodPut || r.Method == http.MethodDelete {
+ return http.StatusMethodNotAllowed, errors.New("method not allowed")
+ }
+ if r.ContentLength > int64(s.httpBodyLimit) {
+ err := fmt.Errorf("content length too large (%d>%d)", r.ContentLength, s.httpBodyLimit)
+ return http.StatusRequestEntityTooLarge, err
+ }
+ // Allow OPTIONS (regardless of content-type)
+ if r.Method == http.MethodOptions {
+ return 0, nil
+ }
+ // Check content-type
+ if mt, _, err := mime.ParseMediaType(r.Header.Get("content-type")); err == nil {
+ for _, accepted := range acceptedContentTypes {
+ if accepted == mt {
+ return 0, nil
+ }
+ }
+ }
+ // Invalid content-type
+ err := fmt.Errorf("invalid content type, only %s is supported", contentType)
+ return http.StatusUnsupportedMediaType, err
+}
+
// ContextRequestTimeout returns the request timeout derived from the given context.
func ContextRequestTimeout(ctx context.Context) (time.Duration, bool) {
timeout := time.Duration(math.MaxInt64)
diff --git a/go-ethereum/rpc/http_test.go b/go-ethereum/rpc/http_test.go
new file mode 100644
index 00000000..6c268b62
--- /dev/null
+++ b/go-ethereum/rpc/http_test.go
@@ -0,0 +1,265 @@
+// Copyright 2017 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package rpc
+
+import (
+ "context"
+ "fmt"
+ "net/http"
+ "net/http/httptest"
+ "strings"
+ "testing"
+)
+
+func confirmStatusCode(t *testing.T, got, want int) {
+ t.Helper()
+ if got == want {
+ return
+ }
+ if gotName := http.StatusText(got); len(gotName) > 0 {
+ if wantName := http.StatusText(want); len(wantName) > 0 {
+ t.Fatalf("response status code: got %d (%s), want %d (%s)", got, gotName, want, wantName)
+ }
+ }
+ t.Fatalf("response status code: got %d, want %d", got, want)
+}
+
+func confirmRequestValidationCode(t *testing.T, method, contentType, body string, expectedStatusCode int) {
+ t.Helper()
+
+ s := NewServer()
+ request := httptest.NewRequest(method, "http://url.com", strings.NewReader(body))
+ if len(contentType) > 0 {
+ request.Header.Set("Content-Type", contentType)
+ }
+ code, err := s.validateRequest(request)
+ if code == 0 {
+ if err != nil {
+ t.Errorf("validation: got error %v, expected nil", err)
+ }
+ } else if err == nil {
+ t.Errorf("validation: code %d: got nil, expected error", code)
+ }
+ confirmStatusCode(t, code, expectedStatusCode)
+}
+
+func TestHTTPErrorResponseWithDelete(t *testing.T) {
+ t.Parallel()
+
+ confirmRequestValidationCode(t, http.MethodDelete, contentType, "", http.StatusMethodNotAllowed)
+}
+
+func TestHTTPErrorResponseWithPut(t *testing.T) {
+ t.Parallel()
+
+ confirmRequestValidationCode(t, http.MethodPut, contentType, "", http.StatusMethodNotAllowed)
+}
+
+func TestHTTPErrorResponseWithMaxContentLength(t *testing.T) {
+ t.Parallel()
+
+ body := make([]rune, defaultBodyLimit+1)
+ confirmRequestValidationCode(t,
+ http.MethodPost, contentType, string(body), http.StatusRequestEntityTooLarge)
+}
+
+func TestHTTPErrorResponseWithEmptyContentType(t *testing.T) {
+ t.Parallel()
+
+ confirmRequestValidationCode(t, http.MethodPost, "", "", http.StatusUnsupportedMediaType)
+}
+
+func TestHTTPErrorResponseWithValidRequest(t *testing.T) {
+ t.Parallel()
+
+ confirmRequestValidationCode(t, http.MethodPost, contentType, "", 0)
+}
+
+func confirmHTTPRequestYieldsStatusCode(t *testing.T, method, contentType, body string, expectedStatusCode int) {
+ t.Helper()
+ s := Server{}
+ ts := httptest.NewServer(&s)
+ defer ts.Close()
+
+ request, err := http.NewRequest(method, ts.URL, strings.NewReader(body))
+ if err != nil {
+ t.Fatalf("failed to create a valid HTTP request: %v", err)
+ }
+ if len(contentType) > 0 {
+ request.Header.Set("Content-Type", contentType)
+ }
+ resp, err := http.DefaultClient.Do(request)
+ if err != nil {
+ t.Fatalf("request failed: %v", err)
+ }
+ resp.Body.Close()
+ confirmStatusCode(t, resp.StatusCode, expectedStatusCode)
+}
+
+func TestHTTPResponseWithEmptyGet(t *testing.T) {
+ t.Parallel()
+
+ confirmHTTPRequestYieldsStatusCode(t, http.MethodGet, "", "", http.StatusOK)
+}
+
+// This checks that maxRequestContentLength is not applied to the response of a request.
+func TestHTTPRespBodyUnlimited(t *testing.T) {
+ t.Parallel()
+
+ const respLength = defaultBodyLimit * 3
+
+ s := NewServer()
+ defer s.Stop()
+ s.RegisterName("test", largeRespService{respLength})
+ ts := httptest.NewServer(s)
+ defer ts.Close()
+
+ c, err := DialHTTP(ts.URL)
+ if err != nil {
+ t.Fatal(err)
+ }
+ defer c.Close()
+
+ var r string
+ if err := c.Call(&r, "test_largeResp"); err != nil {
+ t.Fatal(err)
+ }
+ if len(r) != respLength {
+ t.Fatalf("response has wrong length %d, want %d", len(r), respLength)
+ }
+}
+
+// Tests that an HTTP error results in an HTTPError instance
+// being returned with the expected attributes.
+func TestHTTPErrorResponse(t *testing.T) {
+ t.Parallel()
+
+ ts := httptest.NewServer(http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+ http.Error(w, "error has occurred!", http.StatusTeapot)
+ }))
+ defer ts.Close()
+
+ c, err := DialHTTP(ts.URL)
+ if err != nil {
+ t.Fatal(err)
+ }
+
+ var r string
+ err = c.Call(&r, "test_method")
+ if err == nil {
+ t.Fatal("error was expected")
+ }
+
+ httpErr, ok := err.(HTTPError)
+ if !ok {
+ t.Fatalf("unexpected error type %T", err)
+ }
+
+ if httpErr.StatusCode != http.StatusTeapot {
+ t.Error("unexpected status code", httpErr.StatusCode)
+ }
+ if httpErr.Status != "418 I'm a teapot" {
+ t.Error("unexpected status text", httpErr.Status)
+ }
+ if body := string(httpErr.Body); body != "error has occurred!\n" {
+ t.Error("unexpected body", body)
+ }
+
+ if errMsg := httpErr.Error(); errMsg != "418 I'm a teapot: error has occurred!\n" {
+ t.Error("unexpected error message", errMsg)
+ }
+}
+
+func TestHTTPPeerInfo(t *testing.T) {
+ t.Parallel()
+
+ s := newTestServer()
+ defer s.Stop()
+ ts := httptest.NewServer(s)
+ defer ts.Close()
+
+ c, err := Dial(ts.URL)
+ if err != nil {
+ t.Fatal(err)
+ }
+ c.SetHeader("user-agent", "ua-testing")
+ c.SetHeader("origin", "origin.example.com")
+
+ // Request peer information.
+ var info PeerInfo
+ if err := c.Call(&info, "test_peerInfo"); err != nil {
+ t.Fatal(err)
+ }
+
+ if info.RemoteAddr == "" {
+ t.Error("RemoteAddr not set")
+ }
+ if info.Transport != "http" {
+ t.Errorf("wrong Transport %q", info.Transport)
+ }
+ if info.HTTP.Version != "HTTP/1.1" {
+ t.Errorf("wrong HTTP.Version %q", info.HTTP.Version)
+ }
+ if info.HTTP.UserAgent != "ua-testing" {
+ t.Errorf("wrong HTTP.UserAgent %q", info.HTTP.UserAgent)
+ }
+ if info.HTTP.Origin != "origin.example.com" {
+ t.Errorf("wrong HTTP.Origin %q", info.HTTP.UserAgent)
+ }
+}
+
+func TestNewContextWithHeaders(t *testing.T) {
+ t.Parallel()
+
+ expectedHeaders := 0
+ server := httptest.NewServer(http.HandlerFunc(func(writer http.ResponseWriter, request *http.Request) {
+ for i := 0; i < expectedHeaders; i++ {
+ key, want := fmt.Sprintf("key-%d", i), fmt.Sprintf("val-%d", i)
+ if have := request.Header.Get(key); have != want {
+ t.Errorf("wrong request headers for %s, want: %s, have: %s", key, want, have)
+ }
+ }
+ writer.WriteHeader(http.StatusOK)
+ _, _ = writer.Write([]byte(`{}`))
+ }))
+ defer server.Close()
+
+ client, err := Dial(server.URL)
+ if err != nil {
+ t.Fatalf("failed to dial: %s", err)
+ }
+ defer client.Close()
+
+ newHdr := func(k, v string) http.Header {
+ header := http.Header{}
+ header.Set(k, v)
+ return header
+ }
+ ctx1 := NewContextWithHeaders(context.Background(), newHdr("key-0", "val-0"))
+ ctx2 := NewContextWithHeaders(ctx1, newHdr("key-1", "val-1"))
+ ctx3 := NewContextWithHeaders(ctx2, newHdr("key-2", "val-2"))
+
+ expectedHeaders = 3
+ if err := client.CallContext(ctx3, nil, "test"); err != ErrNoResult {
+ t.Error("call failed", err)
+ }
+
+ expectedHeaders = 2
+ if err := client.CallContext(ctx2, nil, "test"); err != ErrNoResult {
+ t.Error("call failed:", err)
+ }
+}
diff --git a/go-ethereum/rpc/json.go b/go-ethereum/rpc/json.go
index e932389d..fcd801fc 100644
--- a/go-ethereum/rpc/json.go
+++ b/go-ethereum/rpc/json.go
@@ -35,6 +35,7 @@ const (
subscribeMethodSuffix = "_subscribe"
unsubscribeMethodSuffix = "_unsubscribe"
notificationMethodSuffix = "_subscription"
+ maxMethodNameLength = 2048
defaultWriteTimeout = 10 * time.Second // used if context has no deadline
)
diff --git a/go-ethereum/rpc/server.go b/go-ethereum/rpc/server.go
index a8e3ae56..5db8ecf0 100644
--- a/go-ethereum/rpc/server.go
+++ b/go-ethereum/rpc/server.go
@@ -1,9 +1,218 @@
+// Copyright 2015 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
package rpc
import (
"context"
+ "errors"
+ "io"
+ "net"
+ "sync"
+ "sync/atomic"
+
+ "github.com/0xsequence/ethkit/go-ethereum/log"
)
+const MetadataApi = "rpc"
+const EngineApi = "engine"
+
+// CodecOption specifies which type of messages a codec supports.
+//
+// Deprecated: this option is no longer honored by Server.
+type CodecOption int
+
+const (
+ // OptionMethodInvocation is an indication that the codec supports RPC method calls
+ OptionMethodInvocation CodecOption = 1 << iota
+
+ // OptionSubscriptions is an indication that the codec supports RPC notifications
+ OptionSubscriptions = 1 << iota // support pub sub
+)
+
+// Server is an RPC server.
+type Server struct {
+ services serviceRegistry
+ idgen func() ID
+
+ mutex sync.Mutex
+ codecs map[ServerCodec]struct{}
+ run atomic.Bool
+ batchItemLimit int
+ batchResponseLimit int
+ httpBodyLimit int
+}
+
+// NewServer creates a new server instance with no registered handlers.
+func NewServer() *Server {
+ server := &Server{
+ idgen: randomIDGenerator(),
+ codecs: make(map[ServerCodec]struct{}),
+ httpBodyLimit: defaultBodyLimit,
+ }
+ server.run.Store(true)
+ // Register the default service providing meta information about the RPC service such
+ // as the services and methods it offers.
+ rpcService := &RPCService{server}
+ server.RegisterName(MetadataApi, rpcService)
+ return server
+}
+
+// SetBatchLimits sets limits applied to batch requests. There are two limits: 'itemLimit'
+// is the maximum number of items in a batch. 'maxResponseSize' is the maximum number of
+// response bytes across all requests in a batch.
+//
+// This method should be called before processing any requests via ServeCodec, ServeHTTP,
+// ServeListener etc.
+func (s *Server) SetBatchLimits(itemLimit, maxResponseSize int) {
+ s.batchItemLimit = itemLimit
+ s.batchResponseLimit = maxResponseSize
+}
+
+// SetHTTPBodyLimit sets the size limit for HTTP requests.
+//
+// This method should be called before processing any requests via ServeHTTP.
+func (s *Server) SetHTTPBodyLimit(limit int) {
+ s.httpBodyLimit = limit
+}
+
+// RegisterName creates a service for the given receiver type under the given name. When no
+// methods on the given receiver match the criteria to be either an RPC method or a
+// subscription an error is returned. Otherwise a new service is created and added to the
+// service collection this server provides to clients.
+func (s *Server) RegisterName(name string, receiver interface{}) error {
+ return s.services.registerName(name, receiver)
+}
+
+// ServeCodec reads incoming requests from codec, calls the appropriate callback and writes
+// the response back using the given codec. It will block until the codec is closed or the
+// server is stopped. In either case the codec is closed.
+//
+// Note that codec options are no longer supported.
+func (s *Server) ServeCodec(codec ServerCodec, options CodecOption) {
+ defer codec.close()
+
+ if !s.trackCodec(codec) {
+ return
+ }
+ defer s.untrackCodec(codec)
+
+ cfg := &clientConfig{
+ idgen: s.idgen,
+ batchItemLimit: s.batchItemLimit,
+ batchResponseLimit: s.batchResponseLimit,
+ }
+ c := initClient(codec, &s.services, cfg)
+ <-codec.closed()
+ c.Close()
+}
+
+func (s *Server) trackCodec(codec ServerCodec) bool {
+ s.mutex.Lock()
+ defer s.mutex.Unlock()
+
+ if !s.run.Load() {
+ return false // Don't serve if server is stopped.
+ }
+ s.codecs[codec] = struct{}{}
+ return true
+}
+
+func (s *Server) untrackCodec(codec ServerCodec) {
+ s.mutex.Lock()
+ defer s.mutex.Unlock()
+
+ delete(s.codecs, codec)
+}
+
+// serveSingleRequest reads and processes a single RPC request from the given codec. This
+// is used to serve HTTP connections. Subscriptions and reverse calls are not allowed in
+// this mode.
+func (s *Server) serveSingleRequest(ctx context.Context, codec ServerCodec) {
+ // Don't serve if server is stopped.
+ if !s.run.Load() {
+ return
+ }
+
+ h := newHandler(ctx, codec, s.idgen, &s.services, s.batchItemLimit, s.batchResponseLimit)
+ h.allowSubscribe = false
+ defer h.close(io.EOF, nil)
+
+ reqs, batch, err := codec.readBatch()
+ if err != nil {
+ if msg := messageForReadError(err); msg != "" {
+ resp := errorMessage(&invalidMessageError{msg})
+ codec.writeJSON(ctx, resp, true)
+ }
+ return
+ }
+ if batch {
+ h.handleBatch(reqs)
+ } else {
+ h.handleMsg(reqs[0])
+ }
+}
+
+func messageForReadError(err error) string {
+ var netErr net.Error
+ if errors.As(err, &netErr) {
+ if netErr.Timeout() {
+ return "read timeout"
+ } else {
+ return "read error"
+ }
+ } else if err != io.EOF {
+ return "parse error"
+ }
+ return ""
+}
+
+// Stop stops reading new requests, waits for stopPendingRequestTimeout to allow pending
+// requests to finish, then closes all codecs which will cancel pending requests and
+// subscriptions.
+func (s *Server) Stop() {
+ s.mutex.Lock()
+ defer s.mutex.Unlock()
+
+ if s.run.CompareAndSwap(true, false) {
+ log.Debug("RPC server shutting down")
+ for codec := range s.codecs {
+ codec.close()
+ }
+ }
+}
+
+// RPCService gives meta information about the server.
+// e.g. gives information about the loaded modules.
+type RPCService struct {
+ server *Server
+}
+
+// Modules returns the list of RPC services with their version number
+func (s *RPCService) Modules() map[string]string {
+ s.server.services.mu.Lock()
+ defer s.server.services.mu.Unlock()
+
+ modules := make(map[string]string)
+ for name := range s.server.services.services {
+ modules[name] = "1.0"
+ }
+ return modules
+}
+
// PeerInfo contains information about the remote end of the network connection.
//
// This is available within RPC method handlers through the context. Call
diff --git a/go-ethereum/rpc/subscription.go b/go-ethereum/rpc/subscription.go
index d77c655b..9e400c8b 100644
--- a/go-ethereum/rpc/subscription.go
+++ b/go-ethereum/rpc/subscription.go
@@ -371,5 +371,8 @@ func (sub *ClientSubscription) unmarshal(result json.RawMessage) (interface{}, e
func (sub *ClientSubscription) requestUnsubscribe() error {
var result interface{}
- return sub.client.Call(&result, sub.namespace+unsubscribeMethodSuffix, sub.subid)
+ ctx, cancel := context.WithTimeout(context.Background(), unsubscribeTimeout)
+ defer cancel()
+ err := sub.client.CallContext(ctx, &result, sub.namespace+unsubscribeMethodSuffix, sub.subid)
+ return err
}
diff --git a/go-ethereum/rpc/subscription_test.go b/go-ethereum/rpc/subscription_test.go
new file mode 100644
index 00000000..55b8bca9
--- /dev/null
+++ b/go-ethereum/rpc/subscription_test.go
@@ -0,0 +1,284 @@
+// Copyright 2016 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package rpc
+
+import (
+ "bytes"
+ "context"
+ "encoding/json"
+ "fmt"
+ "io"
+ "math/big"
+ "net"
+ "strings"
+ "testing"
+ "time"
+
+ "github.com/0xsequence/ethkit/go-ethereum/common"
+ "github.com/0xsequence/ethkit/go-ethereum/core/types"
+)
+
+func TestNewID(t *testing.T) {
+ t.Parallel()
+
+ hexchars := "0123456789ABCDEFabcdef"
+ for i := 0; i < 100; i++ {
+ id := string(NewID())
+ if !strings.HasPrefix(id, "0x") {
+ t.Fatalf("invalid ID prefix, want '0x...', got %s", id)
+ }
+
+ id = id[2:]
+ if len(id) == 0 || len(id) > 32 {
+ t.Fatalf("invalid ID length, want len(id) > 0 && len(id) <= 32), got %d", len(id))
+ }
+
+ for i := 0; i < len(id); i++ {
+ if strings.IndexByte(hexchars, id[i]) == -1 {
+ t.Fatalf("unexpected byte, want any valid hex char, got %c", id[i])
+ }
+ }
+ }
+}
+
+func TestSubscriptions(t *testing.T) {
+ t.Parallel()
+
+ var (
+ namespaces = []string{"eth", "bzz"}
+ service = ¬ificationTestService{}
+ subCount = len(namespaces)
+ notificationCount = 3
+
+ server = NewServer()
+ clientConn, serverConn = net.Pipe()
+ out = json.NewEncoder(clientConn)
+ in = json.NewDecoder(clientConn)
+ successes = make(chan subConfirmation)
+ notifications = make(chan subscriptionResult)
+ errors = make(chan error, subCount*notificationCount+1)
+ )
+
+ // setup and start server
+ for _, namespace := range namespaces {
+ if err := server.RegisterName(namespace, service); err != nil {
+ t.Fatalf("unable to register test service %v", err)
+ }
+ }
+ go server.ServeCodec(NewCodec(serverConn), 0)
+ defer server.Stop()
+
+ // wait for message and write them to the given channels
+ go waitForMessages(in, successes, notifications, errors)
+
+ // create subscriptions one by one
+ for i, namespace := range namespaces {
+ request := map[string]interface{}{
+ "id": i,
+ "method": fmt.Sprintf("%s_subscribe", namespace),
+ "jsonrpc": "2.0",
+ "params": []interface{}{"someSubscription", notificationCount, i},
+ }
+ if err := out.Encode(&request); err != nil {
+ t.Fatalf("Could not create subscription: %v", err)
+ }
+ }
+
+ timeout := time.After(30 * time.Second)
+ subids := make(map[string]string, subCount)
+ count := make(map[string]int, subCount)
+ allReceived := func() bool {
+ done := len(count) == subCount
+ for _, c := range count {
+ if c < notificationCount {
+ done = false
+ }
+ }
+ return done
+ }
+ for !allReceived() {
+ select {
+ case confirmation := <-successes: // subscription created
+ subids[namespaces[confirmation.reqid]] = string(confirmation.subid)
+ case notification := <-notifications:
+ count[notification.ID]++
+ case err := <-errors:
+ t.Fatal(err)
+ case <-timeout:
+ for _, namespace := range namespaces {
+ subid, found := subids[namespace]
+ if !found {
+ t.Errorf("subscription for %q not created", namespace)
+ continue
+ }
+ if count, found := count[subid]; !found || count < notificationCount {
+ t.Errorf("didn't receive all notifications (%d<%d) in time for namespace %q", count, notificationCount, namespace)
+ }
+ }
+ t.Fatal("timed out")
+ }
+ }
+}
+
+// This test checks that unsubscribing works.
+func TestServerUnsubscribe(t *testing.T) {
+ t.Parallel()
+
+ p1, p2 := net.Pipe()
+ defer p2.Close()
+
+ // Start the server.
+ server := newTestServer()
+ service := ¬ificationTestService{unsubscribed: make(chan string, 1)}
+ server.RegisterName("nftest2", service)
+ go server.ServeCodec(NewCodec(p1), 0)
+
+ // Subscribe.
+ p2.SetDeadline(time.Now().Add(10 * time.Second))
+ p2.Write([]byte(`{"jsonrpc":"2.0","id":1,"method":"nftest2_subscribe","params":["someSubscription",0,10]}`))
+
+ // Handle received messages.
+ var (
+ resps = make(chan subConfirmation)
+ notifications = make(chan subscriptionResult)
+ errors = make(chan error, 1)
+ )
+ go waitForMessages(json.NewDecoder(p2), resps, notifications, errors)
+
+ // Receive the subscription ID.
+ var sub subConfirmation
+ select {
+ case sub = <-resps:
+ case err := <-errors:
+ t.Fatal(err)
+ }
+
+ // Unsubscribe and check that it is handled on the server side.
+ p2.Write([]byte(`{"jsonrpc":"2.0","method":"nftest2_unsubscribe","params":["` + sub.subid + `"]}`))
+ for {
+ select {
+ case id := <-service.unsubscribed:
+ if id != string(sub.subid) {
+ t.Errorf("wrong subscription ID unsubscribed")
+ }
+ return
+ case err := <-errors:
+ t.Fatal(err)
+ case <-notifications:
+ // drop notifications
+ }
+ }
+}
+
+type subConfirmation struct {
+ reqid int
+ subid ID
+}
+
+// waitForMessages reads RPC messages from 'in' and dispatches them into the given channels.
+// It stops if there is an error.
+func waitForMessages(in *json.Decoder, successes chan subConfirmation, notifications chan subscriptionResult, errors chan error) {
+ for {
+ resp, notification, err := readAndValidateMessage(in)
+ if err != nil {
+ errors <- err
+ return
+ } else if resp != nil {
+ successes <- *resp
+ } else {
+ notifications <- *notification
+ }
+ }
+}
+
+func readAndValidateMessage(in *json.Decoder) (*subConfirmation, *subscriptionResult, error) {
+ var msg jsonrpcMessage
+ if err := in.Decode(&msg); err != nil {
+ return nil, nil, fmt.Errorf("decode error: %v", err)
+ }
+ switch {
+ case msg.isNotification():
+ var res subscriptionResult
+ if err := json.Unmarshal(msg.Params, &res); err != nil {
+ return nil, nil, fmt.Errorf("invalid subscription result: %v", err)
+ }
+ return nil, &res, nil
+ case msg.isResponse():
+ var c subConfirmation
+ if msg.Error != nil {
+ return nil, nil, msg.Error
+ } else if err := json.Unmarshal(msg.Result, &c.subid); err != nil {
+ return nil, nil, fmt.Errorf("invalid response: %v", err)
+ } else {
+ json.Unmarshal(msg.ID, &c.reqid)
+ return &c, nil, nil
+ }
+ default:
+ return nil, nil, fmt.Errorf("unrecognized message: %v", msg)
+ }
+}
+
+type mockConn struct {
+ enc *json.Encoder
+}
+
+// writeJSON writes a message to the connection.
+func (c *mockConn) writeJSON(ctx context.Context, msg interface{}, isError bool) error {
+ return c.enc.Encode(msg)
+}
+
+// closed returns a channel which is closed when the connection is closed.
+func (c *mockConn) closed() <-chan interface{} { return nil }
+
+// remoteAddr returns the peer address of the connection.
+func (c *mockConn) remoteAddr() string { return "" }
+
+// BenchmarkNotify benchmarks the performance of notifying a subscription.
+func BenchmarkNotify(b *testing.B) {
+ id := ID("test")
+ notifier := &Notifier{
+ h: &handler{conn: &mockConn{json.NewEncoder(io.Discard)}},
+ sub: &Subscription{ID: id},
+ activated: true,
+ }
+ msg := &types.Header{
+ ParentHash: common.HexToHash("0x01"),
+ Number: big.NewInt(100),
+ }
+ b.ResetTimer()
+ for i := 0; i < b.N; i++ {
+ notifier.Notify(id, msg)
+ }
+}
+
+func TestNotify(t *testing.T) {
+ t.Parallel()
+
+ out := new(bytes.Buffer)
+ id := ID("test")
+ notifier := &Notifier{
+ h: &handler{conn: &mockConn{json.NewEncoder(out)}},
+ sub: &Subscription{ID: id},
+ activated: true,
+ }
+ notifier.Notify(id, "hello")
+ have := strings.TrimSpace(out.String())
+ want := `{"jsonrpc":"2.0","method":"_subscription","params":{"subscription":"test","result":"hello"}}`
+ if have != want {
+ t.Errorf("have:\n%v\nwant:\n%v\n", have, want)
+ }
+}
diff --git a/go-ethereum/rpc/testservice_test.go b/go-ethereum/rpc/testservice_test.go
new file mode 100644
index 00000000..69199e21
--- /dev/null
+++ b/go-ethereum/rpc/testservice_test.go
@@ -0,0 +1,229 @@
+// Copyright 2019 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package rpc
+
+import (
+ "context"
+ "encoding/binary"
+ "errors"
+ "strings"
+ "sync"
+ "time"
+)
+
+func newTestServer() *Server {
+ server := NewServer()
+ server.idgen = sequentialIDGenerator()
+ if err := server.RegisterName("test", new(testService)); err != nil {
+ panic(err)
+ }
+ if err := server.RegisterName("nftest", new(notificationTestService)); err != nil {
+ panic(err)
+ }
+ return server
+}
+
+func sequentialIDGenerator() func() ID {
+ var (
+ mu sync.Mutex
+ counter uint64
+ )
+ return func() ID {
+ mu.Lock()
+ defer mu.Unlock()
+ counter++
+ id := make([]byte, 8)
+ binary.BigEndian.PutUint64(id, counter)
+ return encodeID(id)
+ }
+}
+
+type testService struct{}
+
+type echoArgs struct {
+ S string
+}
+
+type echoResult struct {
+ String string
+ Int int
+ Args *echoArgs
+}
+
+type testError struct{}
+
+func (testError) Error() string { return "testError" }
+func (testError) ErrorCode() int { return 444 }
+func (testError) ErrorData() interface{} { return "testError data" }
+
+type MarshalErrObj struct{}
+
+func (o *MarshalErrObj) MarshalText() ([]byte, error) {
+ return nil, errors.New("marshal error")
+}
+
+func (s *testService) NoArgsRets() {}
+
+func (s *testService) Null() any {
+ return nil
+}
+
+func (s *testService) Echo(str string, i int, args *echoArgs) echoResult {
+ return echoResult{str, i, args}
+}
+
+func (s *testService) EchoWithCtx(ctx context.Context, str string, i int, args *echoArgs) echoResult {
+ return echoResult{str, i, args}
+}
+
+func (s *testService) Repeat(msg string, i int) string {
+ return strings.Repeat(msg, i)
+}
+
+func (s *testService) PeerInfo(ctx context.Context) PeerInfo {
+ return PeerInfoFromContext(ctx)
+}
+
+func (s *testService) Sleep(ctx context.Context, duration time.Duration) {
+ time.Sleep(duration)
+}
+
+func (s *testService) Block(ctx context.Context) error {
+ <-ctx.Done()
+ return errors.New("context canceled in testservice_block")
+}
+
+func (s *testService) Rets() (string, error) {
+ return "", nil
+}
+
+//lint:ignore ST1008 returns error first on purpose.
+func (s *testService) InvalidRets1() (error, string) {
+ return nil, ""
+}
+
+func (s *testService) InvalidRets2() (string, string) {
+ return "", ""
+}
+
+func (s *testService) InvalidRets3() (string, string, error) {
+ return "", "", nil
+}
+
+func (s *testService) ReturnError() error {
+ return testError{}
+}
+
+func (s *testService) MarshalError() *MarshalErrObj {
+ return &MarshalErrObj{}
+}
+
+func (s *testService) Panic() string {
+ panic("service panic")
+}
+
+func (s *testService) CallMeBack(ctx context.Context, method string, args []interface{}) (interface{}, error) {
+ c, ok := ClientFromContext(ctx)
+ if !ok {
+ return nil, errors.New("no client")
+ }
+ var result interface{}
+ err := c.Call(&result, method, args...)
+ return result, err
+}
+
+func (s *testService) CallMeBackLater(ctx context.Context, method string, args []interface{}) error {
+ c, ok := ClientFromContext(ctx)
+ if !ok {
+ return errors.New("no client")
+ }
+ go func() {
+ <-ctx.Done()
+ var result interface{}
+ c.Call(&result, method, args...)
+ }()
+ return nil
+}
+
+func (s *testService) Subscription(ctx context.Context) (*Subscription, error) {
+ return nil, nil
+}
+
+type notificationTestService struct {
+ unsubscribed chan string
+ gotHangSubscriptionReq chan struct{}
+ unblockHangSubscription chan struct{}
+}
+
+func (s *notificationTestService) Echo(i int) int {
+ return i
+}
+
+func (s *notificationTestService) Unsubscribe(subid string) {
+ if s.unsubscribed != nil {
+ s.unsubscribed <- subid
+ }
+}
+
+func (s *notificationTestService) SomeSubscription(ctx context.Context, n, val int) (*Subscription, error) {
+ notifier, supported := NotifierFromContext(ctx)
+ if !supported {
+ return nil, ErrNotificationsUnsupported
+ }
+
+ // By explicitly creating an subscription we make sure that the subscription id is send
+ // back to the client before the first subscription.Notify is called. Otherwise the
+ // events might be send before the response for the *_subscribe method.
+ subscription := notifier.CreateSubscription()
+ go func() {
+ for i := 0; i < n; i++ {
+ if err := notifier.Notify(subscription.ID, val+i); err != nil {
+ return
+ }
+ }
+ <-subscription.Err()
+ if s.unsubscribed != nil {
+ s.unsubscribed <- string(subscription.ID)
+ }
+ }()
+ return subscription, nil
+}
+
+// HangSubscription blocks on s.unblockHangSubscription before sending anything.
+func (s *notificationTestService) HangSubscription(ctx context.Context, val int) (*Subscription, error) {
+ notifier, supported := NotifierFromContext(ctx)
+ if !supported {
+ return nil, ErrNotificationsUnsupported
+ }
+ s.gotHangSubscriptionReq <- struct{}{}
+ <-s.unblockHangSubscription
+ subscription := notifier.CreateSubscription()
+
+ go func() {
+ notifier.Notify(subscription.ID, val)
+ }()
+ return subscription, nil
+}
+
+// largeRespService generates arbitrary-size JSON responses.
+type largeRespService struct {
+ length int
+}
+
+func (x largeRespService) LargeResp() string {
+ return strings.Repeat("x", x.length)
+}
diff --git a/go-ethereum/rpc/types.go b/go-ethereum/rpc/types.go
index de10a20a..5df8509d 100644
--- a/go-ethereum/rpc/types.go
+++ b/go-ethereum/rpc/types.go
@@ -63,11 +63,11 @@ type jsonWriter interface {
type BlockNumber int64
const (
+ EarliestBlockNumber = BlockNumber(-5)
SafeBlockNumber = BlockNumber(-4)
FinalizedBlockNumber = BlockNumber(-3)
LatestBlockNumber = BlockNumber(-2)
PendingBlockNumber = BlockNumber(-1)
- EarliestBlockNumber = BlockNumber(0)
)
// UnmarshalJSON parses the given JSON fragment into a BlockNumber. It supports:
diff --git a/go-ethereum/rpc/types_test.go b/go-ethereum/rpc/types_test.go
new file mode 100644
index 00000000..cd359454
--- /dev/null
+++ b/go-ethereum/rpc/types_test.go
@@ -0,0 +1,195 @@
+// Copyright 2015 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package rpc
+
+import (
+ "encoding/json"
+ "math"
+ "reflect"
+ "testing"
+
+ "github.com/0xsequence/ethkit/go-ethereum/common"
+)
+
+func TestBlockNumberJSONUnmarshal(t *testing.T) {
+ t.Parallel()
+
+ tests := []struct {
+ input string
+ mustFail bool
+ expected BlockNumber
+ }{
+ 0: {`"0x"`, true, BlockNumber(0)},
+ 1: {`"0x0"`, false, BlockNumber(0)},
+ 2: {`"0X1"`, false, BlockNumber(1)},
+ 3: {`"0x00"`, true, BlockNumber(0)},
+ 4: {`"0x01"`, true, BlockNumber(0)},
+ 5: {`"0x1"`, false, BlockNumber(1)},
+ 6: {`"0x12"`, false, BlockNumber(18)},
+ 7: {`"0x7fffffffffffffff"`, false, BlockNumber(math.MaxInt64)},
+ 8: {`"0x8000000000000000"`, true, BlockNumber(0)},
+ 9: {"0", true, BlockNumber(0)},
+ 10: {`"ff"`, true, BlockNumber(0)},
+ 11: {`"pending"`, false, PendingBlockNumber},
+ 12: {`"latest"`, false, LatestBlockNumber},
+ 13: {`"earliest"`, false, EarliestBlockNumber},
+ 14: {`"safe"`, false, SafeBlockNumber},
+ 15: {`"finalized"`, false, FinalizedBlockNumber},
+ 16: {`someString`, true, BlockNumber(0)},
+ 17: {`""`, true, BlockNumber(0)},
+ 18: {``, true, BlockNumber(0)},
+ }
+
+ for i, test := range tests {
+ var num BlockNumber
+ err := json.Unmarshal([]byte(test.input), &num)
+ if test.mustFail && err == nil {
+ t.Errorf("Test %d should fail", i)
+ continue
+ }
+ if !test.mustFail && err != nil {
+ t.Errorf("Test %d should pass but got err: %v", i, err)
+ continue
+ }
+ if num != test.expected {
+ t.Errorf("Test %d got unexpected value, want %d, got %d", i, test.expected, num)
+ }
+ }
+}
+
+func TestBlockNumberOrHash_UnmarshalJSON(t *testing.T) {
+ t.Parallel()
+
+ tests := []struct {
+ input string
+ mustFail bool
+ expected BlockNumberOrHash
+ }{
+ 0: {`"0x"`, true, BlockNumberOrHash{}},
+ 1: {`"0x0"`, false, BlockNumberOrHashWithNumber(0)},
+ 2: {`"0X1"`, false, BlockNumberOrHashWithNumber(1)},
+ 3: {`"0x00"`, true, BlockNumberOrHash{}},
+ 4: {`"0x01"`, true, BlockNumberOrHash{}},
+ 5: {`"0x1"`, false, BlockNumberOrHashWithNumber(1)},
+ 6: {`"0x12"`, false, BlockNumberOrHashWithNumber(18)},
+ 7: {`"0x7fffffffffffffff"`, false, BlockNumberOrHashWithNumber(math.MaxInt64)},
+ 8: {`"0x8000000000000000"`, true, BlockNumberOrHash{}},
+ 9: {"0", true, BlockNumberOrHash{}},
+ 10: {`"ff"`, true, BlockNumberOrHash{}},
+ 11: {`"pending"`, false, BlockNumberOrHashWithNumber(PendingBlockNumber)},
+ 12: {`"latest"`, false, BlockNumberOrHashWithNumber(LatestBlockNumber)},
+ 13: {`"earliest"`, false, BlockNumberOrHashWithNumber(EarliestBlockNumber)},
+ 14: {`"safe"`, false, BlockNumberOrHashWithNumber(SafeBlockNumber)},
+ 15: {`"finalized"`, false, BlockNumberOrHashWithNumber(FinalizedBlockNumber)},
+ 16: {`someString`, true, BlockNumberOrHash{}},
+ 17: {`""`, true, BlockNumberOrHash{}},
+ 18: {``, true, BlockNumberOrHash{}},
+ 19: {`"0x0000000000000000000000000000000000000000000000000000000000000000"`, false, BlockNumberOrHashWithHash(common.HexToHash("0x0000000000000000000000000000000000000000000000000000000000000000"), false)},
+ 20: {`{"blockHash":"0x0000000000000000000000000000000000000000000000000000000000000000"}`, false, BlockNumberOrHashWithHash(common.HexToHash("0x0000000000000000000000000000000000000000000000000000000000000000"), false)},
+ 21: {`{"blockHash":"0x0000000000000000000000000000000000000000000000000000000000000000","requireCanonical":false}`, false, BlockNumberOrHashWithHash(common.HexToHash("0x0000000000000000000000000000000000000000000000000000000000000000"), false)},
+ 22: {`{"blockHash":"0x0000000000000000000000000000000000000000000000000000000000000000","requireCanonical":true}`, false, BlockNumberOrHashWithHash(common.HexToHash("0x0000000000000000000000000000000000000000000000000000000000000000"), true)},
+ 23: {`{"blockNumber":"0x1"}`, false, BlockNumberOrHashWithNumber(1)},
+ 24: {`{"blockNumber":"pending"}`, false, BlockNumberOrHashWithNumber(PendingBlockNumber)},
+ 25: {`{"blockNumber":"latest"}`, false, BlockNumberOrHashWithNumber(LatestBlockNumber)},
+ 26: {`{"blockNumber":"earliest"}`, false, BlockNumberOrHashWithNumber(EarliestBlockNumber)},
+ 27: {`{"blockNumber":"safe"}`, false, BlockNumberOrHashWithNumber(SafeBlockNumber)},
+ 28: {`{"blockNumber":"finalized"}`, false, BlockNumberOrHashWithNumber(FinalizedBlockNumber)},
+ 29: {`{"blockNumber":"0x1", "blockHash":"0x0000000000000000000000000000000000000000000000000000000000000000"}`, true, BlockNumberOrHash{}},
+ }
+
+ for i, test := range tests {
+ var bnh BlockNumberOrHash
+ err := json.Unmarshal([]byte(test.input), &bnh)
+ if test.mustFail && err == nil {
+ t.Errorf("Test %d should fail", i)
+ continue
+ }
+ if !test.mustFail && err != nil {
+ t.Errorf("Test %d should pass but got err: %v", i, err)
+ continue
+ }
+ hash, hashOk := bnh.Hash()
+ expectedHash, expectedHashOk := test.expected.Hash()
+ num, numOk := bnh.Number()
+ expectedNum, expectedNumOk := test.expected.Number()
+ if bnh.RequireCanonical != test.expected.RequireCanonical ||
+ hash != expectedHash || hashOk != expectedHashOk ||
+ num != expectedNum || numOk != expectedNumOk {
+ t.Errorf("Test %d got unexpected value, want %v, got %v", i, test.expected, bnh)
+ }
+ }
+}
+
+func TestBlockNumberOrHash_WithNumber_MarshalAndUnmarshal(t *testing.T) {
+ t.Parallel()
+
+ tests := []struct {
+ name string
+ number int64
+ }{
+ {"max", math.MaxInt64},
+ {"pending", int64(PendingBlockNumber)},
+ {"latest", int64(LatestBlockNumber)},
+ {"earliest", int64(EarliestBlockNumber)},
+ {"safe", int64(SafeBlockNumber)},
+ {"finalized", int64(FinalizedBlockNumber)},
+ }
+ for _, test := range tests {
+ t.Run(test.name, func(t *testing.T) {
+ t.Parallel()
+
+ bnh := BlockNumberOrHashWithNumber(BlockNumber(test.number))
+ marshalled, err := json.Marshal(bnh)
+ if err != nil {
+ t.Fatal("cannot marshal:", err)
+ }
+ var unmarshalled BlockNumberOrHash
+ err = json.Unmarshal(marshalled, &unmarshalled)
+ if err != nil {
+ t.Fatal("cannot unmarshal:", err)
+ }
+ if !reflect.DeepEqual(bnh, unmarshalled) {
+ t.Fatalf("wrong result: expected %v, got %v", bnh, unmarshalled)
+ }
+ })
+ }
+}
+
+func TestBlockNumberOrHash_StringAndUnmarshal(t *testing.T) {
+ t.Parallel()
+
+ tests := []BlockNumberOrHash{
+ BlockNumberOrHashWithNumber(math.MaxInt64),
+ BlockNumberOrHashWithNumber(PendingBlockNumber),
+ BlockNumberOrHashWithNumber(LatestBlockNumber),
+ BlockNumberOrHashWithNumber(EarliestBlockNumber),
+ BlockNumberOrHashWithNumber(SafeBlockNumber),
+ BlockNumberOrHashWithNumber(FinalizedBlockNumber),
+ BlockNumberOrHashWithNumber(32),
+ BlockNumberOrHashWithHash(common.Hash{0xaa}, false),
+ }
+ for _, want := range tests {
+ marshalled, _ := json.Marshal(want.String())
+ var have BlockNumberOrHash
+ if err := json.Unmarshal(marshalled, &have); err != nil {
+ t.Fatalf("cannot unmarshal (%v): %v", string(marshalled), err)
+ }
+ if !reflect.DeepEqual(want, have) {
+ t.Fatalf("wrong result: have %v, want %v", have, want)
+ }
+ }
+}
diff --git a/go-ethereum/rpc/websocket.go b/go-ethereum/rpc/websocket.go
index a552a55e..1431ff8d 100644
--- a/go-ethereum/rpc/websocket.go
+++ b/go-ethereum/rpc/websocket.go
@@ -19,11 +19,16 @@ package rpc
import (
"context"
"encoding/base64"
+ "fmt"
"net/http"
"net/url"
+ "os"
+ "strings"
"sync"
"time"
+ "github.com/0xsequence/ethkit/go-ethereum/log"
+ mapset "github.com/deckarep/golang-set/v2"
"github.com/gorilla/websocket"
)
@@ -38,6 +43,72 @@ const (
var wsBufferPool = new(sync.Pool)
+// WebsocketHandler returns a handler that serves JSON-RPC to WebSocket connections.
+//
+// allowedOrigins should be a comma-separated list of allowed origin URLs.
+// To allow connections with any origin, pass "*".
+func (s *Server) WebsocketHandler(allowedOrigins []string) http.Handler {
+ var upgrader = websocket.Upgrader{
+ ReadBufferSize: wsReadBuffer,
+ WriteBufferSize: wsWriteBuffer,
+ WriteBufferPool: wsBufferPool,
+ CheckOrigin: wsHandshakeValidator(allowedOrigins),
+ }
+ return http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+ conn, err := upgrader.Upgrade(w, r, nil)
+ if err != nil {
+ log.Debug("WebSocket upgrade failed", "err", err)
+ return
+ }
+ codec := newWebsocketCodec(conn, r.Host, r.Header, wsDefaultReadLimit)
+ s.ServeCodec(codec, 0)
+ })
+}
+
+// wsHandshakeValidator returns a handler that verifies the origin during the
+// websocket upgrade process. When a '*' is specified as an allowed origins all
+// connections are accepted.
+func wsHandshakeValidator(allowedOrigins []string) func(*http.Request) bool {
+ origins := mapset.NewSet[string]()
+ allowAllOrigins := false
+
+ for _, origin := range allowedOrigins {
+ if origin == "*" {
+ allowAllOrigins = true
+ }
+ if origin != "" {
+ origins.Add(origin)
+ }
+ }
+ // allow localhost if no allowedOrigins are specified.
+ if len(origins.ToSlice()) == 0 {
+ origins.Add("http://localhost")
+ if hostname, err := os.Hostname(); err == nil {
+ origins.Add("http://" + hostname)
+ }
+ }
+ log.Debug(fmt.Sprintf("Allowed origin(s) for WS RPC interface %v", origins.ToSlice()))
+
+ f := func(req *http.Request) bool {
+ // Skip origin verification if no Origin header is present. The origin check
+ // is supposed to protect against browser based attacks. Browsers always set
+ // Origin. Non-browser software can put anything in origin and checking it doesn't
+ // provide additional security.
+ if _, ok := req.Header["Origin"]; !ok {
+ return true
+ }
+ // Verify origin against allow list.
+ origin := strings.ToLower(req.Header.Get("Origin"))
+ if allowAllOrigins || originIsAllowed(origins, origin) {
+ return true
+ }
+ log.Warn("Rejected WebSocket connection", "origin", origin)
+ return false
+ }
+
+ return f
+}
+
type wsHandshakeError struct {
err error
status string
@@ -55,6 +126,65 @@ func (e wsHandshakeError) Unwrap() error {
return e.err
}
+func originIsAllowed(allowedOrigins mapset.Set[string], browserOrigin string) bool {
+ it := allowedOrigins.Iterator()
+ for origin := range it.C {
+ if ruleAllowsOrigin(origin, browserOrigin) {
+ return true
+ }
+ }
+ return false
+}
+
+func ruleAllowsOrigin(allowedOrigin string, browserOrigin string) bool {
+ var (
+ allowedScheme, allowedHostname, allowedPort string
+ browserScheme, browserHostname, browserPort string
+ err error
+ )
+ allowedScheme, allowedHostname, allowedPort, err = parseOriginURL(allowedOrigin)
+ if err != nil {
+ log.Warn("Error parsing allowed origin specification", "spec", allowedOrigin, "error", err)
+ return false
+ }
+ browserScheme, browserHostname, browserPort, err = parseOriginURL(browserOrigin)
+ if err != nil {
+ log.Warn("Error parsing browser 'Origin' field", "Origin", browserOrigin, "error", err)
+ return false
+ }
+ if allowedScheme != "" && allowedScheme != browserScheme {
+ return false
+ }
+ if allowedHostname != "" && allowedHostname != browserHostname {
+ return false
+ }
+ if allowedPort != "" && allowedPort != browserPort {
+ return false
+ }
+ return true
+}
+
+func parseOriginURL(origin string) (string, string, string, error) {
+ parsedURL, err := url.Parse(strings.ToLower(origin))
+ if err != nil {
+ return "", "", "", err
+ }
+ var scheme, hostname, port string
+ if strings.Contains(origin, "://") {
+ scheme = parsedURL.Scheme
+ hostname = parsedURL.Hostname()
+ port = parsedURL.Port()
+ } else {
+ scheme = ""
+ hostname = parsedURL.Scheme
+ port = parsedURL.Opaque
+ if hostname == "" {
+ hostname = origin
+ }
+ }
+ return scheme, hostname, port, nil
+}
+
// DialWebsocketWithDialer creates a new RPC client using WebSocket.
//
// The context is used for the initial connection establishment. It does not
diff --git a/go-ethereum/rpc/websocket_test.go b/go-ethereum/rpc/websocket_test.go
new file mode 100644
index 00000000..a8d86249
--- /dev/null
+++ b/go-ethereum/rpc/websocket_test.go
@@ -0,0 +1,467 @@
+// Copyright 2018 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see .
+
+package rpc
+
+import (
+ "context"
+ "errors"
+ "net"
+ "net/http"
+ "net/http/httptest"
+ "strings"
+ "testing"
+ "time"
+
+ "github.com/gorilla/websocket"
+)
+
+func TestWebsocketClientHeaders(t *testing.T) {
+ t.Parallel()
+
+ endpoint, header, err := wsClientHeaders("wss://testuser:test-PASS_01@example.com:1234", "https://example.com")
+ if err != nil {
+ t.Fatalf("wsGetConfig failed: %s", err)
+ }
+ if endpoint != "wss://example.com:1234" {
+ t.Fatal("User should have been stripped from the URL")
+ }
+ if header.Get("authorization") != "Basic dGVzdHVzZXI6dGVzdC1QQVNTXzAx" {
+ t.Fatal("Basic auth header is incorrect")
+ }
+ if header.Get("origin") != "https://example.com" {
+ t.Fatal("Origin not set")
+ }
+}
+
+// This test checks that the server rejects connections from disallowed origins.
+func TestWebsocketOriginCheck(t *testing.T) {
+ t.Parallel()
+
+ var (
+ srv = newTestServer()
+ httpsrv = httptest.NewServer(srv.WebsocketHandler([]string{"http://example.com"}))
+ wsURL = "ws:" + strings.TrimPrefix(httpsrv.URL, "http:")
+ )
+ defer srv.Stop()
+ defer httpsrv.Close()
+
+ client, err := DialWebsocket(context.Background(), wsURL, "http://ekzample.com")
+ if err == nil {
+ client.Close()
+ t.Fatal("no error for wrong origin")
+ }
+ wantErr := wsHandshakeError{websocket.ErrBadHandshake, "403 Forbidden"}
+ if !errors.Is(err, wantErr) {
+ t.Fatalf("wrong error for wrong origin: %q", err)
+ }
+
+ // Connections without origin header should work.
+ client, err = DialWebsocket(context.Background(), wsURL, "")
+ if err != nil {
+ t.Fatalf("error for empty origin: %v", err)
+ }
+ client.Close()
+}
+
+// This test checks whether calls exceeding the request size limit are rejected.
+func TestWebsocketLargeCall(t *testing.T) {
+ t.Parallel()
+
+ var (
+ srv = newTestServer()
+ httpsrv = httptest.NewServer(srv.WebsocketHandler([]string{"*"}))
+ wsURL = "ws:" + strings.TrimPrefix(httpsrv.URL, "http:")
+ )
+ defer srv.Stop()
+ defer httpsrv.Close()
+
+ client, err := DialWebsocket(context.Background(), wsURL, "")
+ if err != nil {
+ t.Fatalf("can't dial: %v", err)
+ }
+ defer client.Close()
+
+ // This call sends slightly less than the limit and should work.
+ var result echoResult
+ arg := strings.Repeat("x", defaultBodyLimit-200)
+ if err := client.Call(&result, "test_echo", arg, 1); err != nil {
+ t.Fatalf("valid call didn't work: %v", err)
+ }
+ if result.String != arg {
+ t.Fatal("wrong string echoed")
+ }
+
+ // This call sends twice the allowed size and shouldn't work.
+ arg = strings.Repeat("x", defaultBodyLimit*2)
+ err = client.Call(&result, "test_echo", arg)
+ if err == nil {
+ t.Fatal("no error for too large call")
+ }
+}
+
+// This test checks whether the wsMessageSizeLimit option is obeyed.
+func TestWebsocketLargeRead(t *testing.T) {
+ t.Parallel()
+
+ var (
+ srv = newTestServer()
+ httpsrv = httptest.NewServer(srv.WebsocketHandler([]string{"*"}))
+ wsURL = "ws:" + strings.TrimPrefix(httpsrv.URL, "http:")
+ )
+ defer srv.Stop()
+ defer httpsrv.Close()
+
+ testLimit := func(limit *int64) {
+ opts := []ClientOption{}
+ expLimit := int64(wsDefaultReadLimit)
+ if limit != nil && *limit >= 0 {
+ opts = append(opts, WithWebsocketMessageSizeLimit(*limit))
+ if *limit > 0 {
+ expLimit = *limit // 0 means infinite
+ }
+ }
+ client, err := DialOptions(context.Background(), wsURL, opts...)
+ if err != nil {
+ t.Fatalf("can't dial: %v", err)
+ }
+ defer client.Close()
+ // Remove some bytes for json encoding overhead.
+ underLimit := int(expLimit - 128)
+ overLimit := expLimit + 1
+ if expLimit == wsDefaultReadLimit {
+ // No point trying the full 32MB in tests. Just sanity-check that
+ // it's not obviously limited.
+ underLimit = 1024
+ overLimit = -1
+ }
+ var res string
+ // Check under limit
+ if err = client.Call(&res, "test_repeat", "A", underLimit); err != nil {
+ t.Fatalf("unexpected error with limit %d: %v", expLimit, err)
+ }
+ if len(res) != underLimit || strings.Count(res, "A") != underLimit {
+ t.Fatal("incorrect data")
+ }
+ // Check over limit
+ if overLimit > 0 {
+ err = client.Call(&res, "test_repeat", "A", expLimit+1)
+ if err == nil || err != websocket.ErrReadLimit {
+ t.Fatalf("wrong error with limit %d: %v expecting %v", expLimit, err, websocket.ErrReadLimit)
+ }
+ }
+ }
+ ptr := func(v int64) *int64 { return &v }
+
+ testLimit(ptr(-1)) // Should be ignored (use default)
+ testLimit(ptr(0)) // Should be ignored (use default)
+ testLimit(nil) // Should be ignored (use default)
+ testLimit(ptr(200))
+ testLimit(ptr(wsDefaultReadLimit * 2))
+}
+
+func TestWebsocketPeerInfo(t *testing.T) {
+ t.Parallel()
+
+ var (
+ s = newTestServer()
+ ts = httptest.NewServer(s.WebsocketHandler([]string{"origin.example.com"}))
+ tsurl = "ws:" + strings.TrimPrefix(ts.URL, "http:")
+ )
+ defer s.Stop()
+ defer ts.Close()
+
+ ctx := context.Background()
+ c, err := DialWebsocket(ctx, tsurl, "origin.example.com")
+ if err != nil {
+ t.Fatal(err)
+ }
+ defer c.Close()
+
+ // Request peer information.
+ var connInfo PeerInfo
+ if err := c.Call(&connInfo, "test_peerInfo"); err != nil {
+ t.Fatal(err)
+ }
+
+ if connInfo.RemoteAddr == "" {
+ t.Error("RemoteAddr not set")
+ }
+ if connInfo.Transport != "ws" {
+ t.Errorf("wrong Transport %q", connInfo.Transport)
+ }
+ if connInfo.HTTP.UserAgent != "Go-http-client/1.1" {
+ t.Errorf("wrong HTTP.UserAgent %q", connInfo.HTTP.UserAgent)
+ }
+ if connInfo.HTTP.Origin != "origin.example.com" {
+ t.Errorf("wrong HTTP.Origin %q", connInfo.HTTP.UserAgent)
+ }
+}
+
+// This test checks that client handles WebSocket ping frames correctly.
+func TestClientWebsocketPing(t *testing.T) {
+ t.Parallel()
+
+ var (
+ sendPing = make(chan struct{})
+ server = wsPingTestServer(t, sendPing)
+ ctx, cancel = context.WithTimeout(context.Background(), 2*time.Second)
+ )
+ defer cancel()
+ defer server.Shutdown(ctx)
+
+ client, err := DialContext(ctx, "ws://"+server.Addr)
+ if err != nil {
+ t.Fatalf("client dial error: %v", err)
+ }
+ defer client.Close()
+
+ resultChan := make(chan int)
+ sub, err := client.EthSubscribe(ctx, resultChan, "foo")
+ if err != nil {
+ t.Fatalf("client subscribe error: %v", err)
+ }
+ // Note: Unsubscribe is not called on this subscription because the mockup
+ // server can't handle the request.
+
+ // Wait for the context's deadline to be reached before proceeding.
+ // This is important for reproducing https://github.com/ethereum/go-ethereum/issues/19798
+ <-ctx.Done()
+ close(sendPing)
+
+ // Wait for the subscription result.
+ timeout := time.NewTimer(5 * time.Second)
+ defer timeout.Stop()
+ for {
+ select {
+ case err := <-sub.Err():
+ t.Error("client subscription error:", err)
+ case result := <-resultChan:
+ t.Log("client got result:", result)
+ return
+ case <-timeout.C:
+ t.Error("didn't get any result within the test timeout")
+ return
+ }
+ }
+}
+
+// This checks that the websocket transport can deal with large messages.
+func TestClientWebsocketLargeMessage(t *testing.T) {
+ t.Parallel()
+
+ var (
+ srv = NewServer()
+ httpsrv = httptest.NewServer(srv.WebsocketHandler(nil))
+ wsURL = "ws:" + strings.TrimPrefix(httpsrv.URL, "http:")
+ )
+ defer srv.Stop()
+ defer httpsrv.Close()
+
+ respLength := wsDefaultReadLimit - 50
+ srv.RegisterName("test", largeRespService{respLength})
+
+ c, err := DialWebsocket(context.Background(), wsURL, "")
+ if err != nil {
+ t.Fatal(err)
+ }
+ defer c.Close()
+
+ var r string
+ if err := c.Call(&r, "test_largeResp"); err != nil {
+ t.Fatal("call failed:", err)
+ }
+ if len(r) != respLength {
+ t.Fatalf("response has wrong length %d, want %d", len(r), respLength)
+ }
+}
+
+// wsPingTestServer runs a WebSocket server which accepts a single subscription request.
+// When a value arrives on sendPing, the server sends a ping frame, waits for a matching
+// pong and finally delivers a single subscription result.
+func wsPingTestServer(t *testing.T, sendPing <-chan struct{}) *http.Server {
+ var srv http.Server
+ shutdown := make(chan struct{})
+ srv.RegisterOnShutdown(func() {
+ close(shutdown)
+ })
+ srv.Handler = http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+ // Upgrade to WebSocket.
+ upgrader := websocket.Upgrader{
+ CheckOrigin: func(r *http.Request) bool { return true },
+ }
+ conn, err := upgrader.Upgrade(w, r, nil)
+ if err != nil {
+ t.Errorf("server WS upgrade error: %v", err)
+ return
+ }
+ defer conn.Close()
+
+ // Handle the connection.
+ wsPingTestHandler(t, conn, shutdown, sendPing)
+ })
+
+ // Start the server.
+ listener, err := net.Listen("tcp", "127.0.0.1:0")
+ if err != nil {
+ t.Fatal("can't listen:", err)
+ }
+ srv.Addr = listener.Addr().String()
+ go srv.Serve(listener)
+ return &srv
+}
+
+func wsPingTestHandler(t *testing.T, conn *websocket.Conn, shutdown, sendPing <-chan struct{}) {
+ // Canned responses for the eth_subscribe call in TestClientWebsocketPing.
+ const (
+ subResp = `{"jsonrpc":"2.0","id":1,"result":"0x00"}`
+ subNotify = `{"jsonrpc":"2.0","method":"eth_subscription","params":{"subscription":"0x00","result":1}}`
+ )
+
+ // Handle subscribe request.
+ if _, _, err := conn.ReadMessage(); err != nil {
+ t.Errorf("server read error: %v", err)
+ return
+ }
+ if err := conn.WriteMessage(websocket.TextMessage, []byte(subResp)); err != nil {
+ t.Errorf("server write error: %v", err)
+ return
+ }
+
+ // Read from the connection to process control messages.
+ var pongCh = make(chan string)
+ conn.SetPongHandler(func(d string) error {
+ t.Logf("server got pong: %q", d)
+ pongCh <- d
+ return nil
+ })
+ go func() {
+ for {
+ typ, msg, err := conn.ReadMessage()
+ if err != nil {
+ return
+ }
+ t.Logf("server got message (%d): %q", typ, msg)
+ }
+ }()
+
+ // Write messages.
+ var (
+ wantPong string
+ timer = time.NewTimer(0)
+ )
+ defer timer.Stop()
+ <-timer.C
+ for {
+ select {
+ case _, open := <-sendPing:
+ if !open {
+ sendPing = nil
+ }
+ t.Logf("server sending ping")
+ conn.WriteMessage(websocket.PingMessage, []byte("ping"))
+ wantPong = "ping"
+ case data := <-pongCh:
+ if wantPong == "" {
+ t.Errorf("unexpected pong")
+ } else if data != wantPong {
+ t.Errorf("got pong with wrong data %q", data)
+ }
+ wantPong = ""
+ timer.Reset(200 * time.Millisecond)
+ case <-timer.C:
+ t.Logf("server sending response")
+ conn.WriteMessage(websocket.TextMessage, []byte(subNotify))
+ case <-shutdown:
+ conn.Close()
+ return
+ }
+ }
+}
+
+func TestWebsocketMethodNameLengthLimit(t *testing.T) {
+ t.Parallel()
+
+ var (
+ srv = newTestServer()
+ httpsrv = httptest.NewServer(srv.WebsocketHandler([]string{"*"}))
+ wsURL = "ws:" + strings.TrimPrefix(httpsrv.URL, "http:")
+ )
+ defer srv.Stop()
+ defer httpsrv.Close()
+
+ client, err := DialWebsocket(context.Background(), wsURL, "")
+ if err != nil {
+ t.Fatalf("can't dial: %v", err)
+ }
+ defer client.Close()
+
+ // Test cases
+ tests := []struct {
+ name string
+ method string
+ params []interface{}
+ expectedError string
+ isSubscription bool
+ }{
+ {
+ name: "valid method name",
+ method: "test_echo",
+ params: []interface{}{"test", 1},
+ expectedError: "",
+ isSubscription: false,
+ },
+ {
+ name: "method name too long",
+ method: "test_" + string(make([]byte, maxMethodNameLength+1)),
+ params: []interface{}{"test", 1},
+ expectedError: "method name too long",
+ isSubscription: false,
+ },
+ {
+ name: "valid subscription",
+ method: "nftest_subscribe",
+ params: []interface{}{"someSubscription", 1, 2},
+ expectedError: "",
+ isSubscription: true,
+ },
+ {
+ name: "subscription name too long",
+ method: string(make([]byte, maxMethodNameLength+1)) + "_subscribe",
+ params: []interface{}{"newHeads"},
+ expectedError: "subscription name too long",
+ isSubscription: true,
+ },
+ }
+
+ for _, tt := range tests {
+ t.Run(tt.name, func(t *testing.T) {
+ var result interface{}
+ err := client.Call(&result, tt.method, tt.params...)
+ if tt.expectedError == "" {
+ if err != nil {
+ t.Errorf("unexpected error: %v", err)
+ }
+ } else {
+ if err == nil {
+ t.Error("expected error, got nil")
+ } else if !strings.Contains(err.Error(), tt.expectedError) {
+ t.Errorf("expected error containing %q, got %q", tt.expectedError, err.Error())
+ }
+ }
+ })
+ }
+}
diff --git a/go.mod b/go.mod
index d32c006a..2c956fa0 100644
--- a/go.mod
+++ b/go.mod
@@ -2,7 +2,7 @@ module github.com/0xsequence/ethkit
go 1.23.0
-toolchain go1.24.1
+toolchain go1.24.3
require (
github.com/Microsoft/go-winio v0.6.2
@@ -11,13 +11,18 @@ require (
github.com/btcsuite/btcd/btcutil v1.1.6
github.com/cespare/cp v1.1.1
github.com/consensys/gnark-crypto v0.16.0
+ github.com/crate-crypto/go-eth-kzg v1.3.0
github.com/crate-crypto/go-kzg-4844 v1.1.0
github.com/davecgh/go-spew v1.1.1
github.com/deckarep/golang-set/v2 v2.8.0
- github.com/ethereum/c-kzg-4844/bindings/go v0.0.0-20230126171313-363c7d7593b4
+ github.com/decred/dcrd/dcrec/secp256k1/v4 v4.4.0
+ github.com/ethereum/c-kzg-4844/v2 v2.1.1
+ github.com/ethereum/go-verkle v0.2.2
+ github.com/fsnotify/fsnotify v1.4.9
github.com/go-chi/httpvcr v0.2.0
github.com/go-chi/traceid v0.2.0
github.com/go-chi/transport v0.5.0
+ github.com/google/gofuzz v1.2.0
github.com/google/uuid v1.6.0
github.com/gorilla/websocket v1.5.3
github.com/goware/breaker v0.1.2
@@ -30,6 +35,7 @@ require (
github.com/goware/pp v0.0.3
github.com/goware/superr v0.0.2
github.com/holiman/uint256 v1.3.2
+ github.com/jedisct1/go-minisign v0.0.0-20241212093149-d2f9f49435c7
github.com/kylelemons/godebug v1.1.0
github.com/spf13/cobra v1.9.1
github.com/stretchr/testify v1.10.0
@@ -43,7 +49,7 @@ require (
)
require (
- golang.org/x/exp v0.0.0-20240808152545-0cdaa3abc0fa // indirect
+ golang.org/x/exp v0.0.0-20240808152545-0cdaa3abc0fa
golang.org/x/mod v0.24.0 // indirect
golang.org/x/text v0.24.0 // indirect
)
@@ -53,7 +59,7 @@ require (
github.com/btcsuite/btcd/chaincfg/chainhash v1.1.0 // indirect
github.com/cespare/xxhash/v2 v2.3.0 // indirect
github.com/consensys/bavard v0.1.30 // indirect
- github.com/decred/dcrd/dcrec/secp256k1/v4 v4.4.0 // indirect
+ github.com/crate-crypto/go-ipa v0.0.0-20240223125850-b1e8a79f509c // indirect
github.com/dgryski/go-rendezvous v0.0.0-20200823014737-9f7001d12a5f // indirect
github.com/elastic/go-freelru v0.16.0 // indirect
github.com/goware/singleflight v0.3.0 // indirect
diff --git a/go.sum b/go.sum
index 011543cb..afc0e864 100644
--- a/go.sum
+++ b/go.sum
@@ -43,6 +43,10 @@ github.com/consensys/bavard v0.1.30/go.mod h1:k/zVjHHC4B+PQy1Pg7fgvG3ALicQw540Cr
github.com/consensys/gnark-crypto v0.16.0 h1:8Dl4eYmUWK9WmlP1Bj6je688gBRJCJbT8Mw4KoTAawo=
github.com/consensys/gnark-crypto v0.16.0/go.mod h1:Ke3j06ndtPTVvo++PhGNgvm+lgpLvzbcE2MqljY7diU=
github.com/cpuguy83/go-md2man/v2 v2.0.6/go.mod h1:oOW0eioCTA6cOiMLiUPZOpcVxMig6NIQQ7OS05n1F4g=
+github.com/crate-crypto/go-eth-kzg v1.3.0 h1:05GrhASN9kDAidaFJOda6A4BEvgvuXbazXg/0E3OOdI=
+github.com/crate-crypto/go-eth-kzg v1.3.0/go.mod h1:J9/u5sWfznSObptgfa92Jq8rTswn6ahQWEuiLHOjCUI=
+github.com/crate-crypto/go-ipa v0.0.0-20240223125850-b1e8a79f509c h1:uQYC5Z1mdLRPrZhHjHxufI8+2UG/i25QG92j0Er9p6I=
+github.com/crate-crypto/go-ipa v0.0.0-20240223125850-b1e8a79f509c/go.mod h1:geZJZH3SzKCqnz5VT0q/DyIG/tvu/dZk+VIfXicupJs=
github.com/crate-crypto/go-kzg-4844 v1.1.0 h1:EN/u9k2TF6OWSHrCCDBBU6GLNMq88OspHHlMnHfoyU4=
github.com/crate-crypto/go-kzg-4844 v1.1.0/go.mod h1:JolLjpSff1tCCJKaJx4psrlEdlXuJEC996PL3tTAFks=
github.com/davecgh/go-spew v0.0.0-20171005155431-ecdeabc65495/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
@@ -62,9 +66,12 @@ github.com/dgryski/go-rendezvous v0.0.0-20200823014737-9f7001d12a5f h1:lO4WD4F/r
github.com/dgryski/go-rendezvous v0.0.0-20200823014737-9f7001d12a5f/go.mod h1:cuUVRXasLTGF7a8hSLbxyZXjz+1KgoB3wDUb6vlszIc=
github.com/elastic/go-freelru v0.16.0 h1:gG2HJ1WXN2tNl5/p40JS/l59HjvjRhjyAa+oFTRArYs=
github.com/elastic/go-freelru v0.16.0/go.mod h1:bSdWT4M0lW79K8QbX6XY2heQYSCqD7THoYf82pT/H3I=
-github.com/ethereum/c-kzg-4844/bindings/go v0.0.0-20230126171313-363c7d7593b4 h1:B2mpK+MNqgPqk2/KNi1LbqwtZDy5F7iy0mynQiBr8VA=
-github.com/ethereum/c-kzg-4844/bindings/go v0.0.0-20230126171313-363c7d7593b4/go.mod h1:y4GA2JbAUama1S4QwYjC2hefgGLU8Ul0GMtL/ADMF1c=
+github.com/ethereum/c-kzg-4844/v2 v2.1.1 h1:KhzBVjmURsfr1+S3k/VE35T02+AW2qU9t9gr4R6YpSo=
+github.com/ethereum/c-kzg-4844/v2 v2.1.1/go.mod h1:TC48kOKjJKPbN7C++qIgt0TJzZ70QznYR7Ob+WXl57E=
+github.com/ethereum/go-verkle v0.2.2 h1:I2W0WjnrFUIzzVPwm8ykY+7pL2d4VhlsePn4j7cnFk8=
+github.com/ethereum/go-verkle v0.2.2/go.mod h1:M3b90YRnzqKyyzBEWJGqj8Qff4IDeXnzFw0P9bFw3uk=
github.com/fsnotify/fsnotify v1.4.7/go.mod h1:jwhsz4b93w/PPRr/qN1Yymfu8t87LnFCMoQvtojpjFo=
+github.com/fsnotify/fsnotify v1.4.9 h1:hsms1Qyu0jgnwNXIxa+/V/PDsU6CfLf6CNO8H7IWoS4=
github.com/fsnotify/fsnotify v1.4.9/go.mod h1:znqG4EE+3YCdAaPaxE2ZRY/06pZUdp0tY4IgpuI1SZQ=
github.com/go-chi/httpvcr v0.2.0 h1:jOsPvc4ZOoyNv9KCv/O4YoSjMFrHFq/Orc90A0DotUU=
github.com/go-chi/httpvcr v0.2.0/go.mod h1:tGX6IOmSd8LEvItVrT4z7I4BdhjHFU5RPTmvsKudD+Q=
@@ -85,6 +92,8 @@ github.com/google/go-cmp v0.3.1/go.mod h1:8QqcDgzrUqlUb/G2PQTWiueGozuR1884gddMyw
github.com/google/go-cmp v0.4.0/go.mod h1:v8dTdLbMG2kIc/vJvl+f65V22dbkXbowE6jgT/gNBxE=
github.com/google/go-cmp v0.6.0 h1:ofyhxvXcZhMsU5ulbFiLKl/XBFqE1GSq7atu8tAmTRI=
github.com/google/go-cmp v0.6.0/go.mod h1:17dUlkBOakJ0+DkrSSNjCkIjxS6bF9zb3elmeNGIjoY=
+github.com/google/gofuzz v1.2.0 h1:xRy4A+RhZaiKjJ1bPfwQ8sedCA+YS2YcCHW6ec7JMi0=
+github.com/google/gofuzz v1.2.0/go.mod h1:dBl0BpW6vV/+mYPU4Po3pmUjxk6FQPldtuIdl/M65Eg=
github.com/google/subcommands v1.2.0/go.mod h1:ZjhPrFU+Olkh9WazFPsl27BQ4UPiG37m3yTrtFlrHVk=
github.com/google/uuid v1.6.0 h1:NIvaJDMOsjHA8n1jAhLSgzrAzy1Hgr+hNrb57e+94F0=
github.com/google/uuid v1.6.0/go.mod h1:TIyPZe4MgqvfeYDBFedMoGGpEw/LqOeaOT+nhxU+yHo=
@@ -116,6 +125,8 @@ github.com/holiman/uint256 v1.3.2/go.mod h1:EOMSn4q6Nyt9P6efbI3bueV4e1b3dGlUCXei
github.com/hpcloud/tail v1.0.0/go.mod h1:ab1qPbhIpdTxEkNHXyeSf5vhxWSCs/tWer42PpOxQnU=
github.com/inconshreveable/mousetrap v1.1.0 h1:wN+x4NVGpMsO7ErUn/mUI3vEoE6Jt13X2s0bqwp9tc8=
github.com/inconshreveable/mousetrap v1.1.0/go.mod h1:vpF70FUmC8bwa3OWnCshd2FqLfsEA9PFc4w1p2J65bw=
+github.com/jedisct1/go-minisign v0.0.0-20241212093149-d2f9f49435c7 h1:FWpSWRD8FbVkKQu8M1DM9jF5oXFLyE+XpisIYfdzbic=
+github.com/jedisct1/go-minisign v0.0.0-20241212093149-d2f9f49435c7/go.mod h1:BMxO138bOokdgt4UaxZiEfypcSHX0t6SIFimVP1oRfk=
github.com/jessevdk/go-flags v0.0.0-20141203071132-1679536dcc89/go.mod h1:4FA24M0QyGHXBuZZK/XkWh8h0e1EYbRYJSGM75WSRxI=
github.com/jessevdk/go-flags v1.4.0/go.mod h1:4FA24M0QyGHXBuZZK/XkWh8h0e1EYbRYJSGM75WSRxI=
github.com/jrick/logrotate v1.0.0/go.mod h1:LNinyqDIJnpAur+b8yyulnQw/wDuN1+BYKlTRt3OuAQ=