test: Move modinv to util and add unit test

Author: fjahr

test/functional/test_framework/key.py

@@ -8,22 +8,7 @@
 anything but tests."""
 import random
 
-def modinv(a, n):
-    """Compute the modular inverse of a modulo n
-
-    See https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm#Modular_integers.
-    """
-    t1, t2 = 0, 1
-    r1, r2 = n, a
-    while r2 != 0:
-        q = r1 // r2
-        t1, t2 = t2, t1 - q * t2
-        r1, r2 = r2, r1 - q * r2
-    if r1 > 1:
-        return None
-    if t1 < 0:
-        t1 += n
-    return t1
+from .util import modinv
 
 def jacobi_symbol(n, k):
     """Compute the Jacobi symbol of n modulo k

test/functional/test_framework/util.py

@@ -15,6 +15,7 @@
 import random
 import re
 import time
+import unittest
 
 from . import coverage
 from .authproxy import AuthServiceProxy, JSONRPCException
@@ -629,3 +630,33 @@ def find_vout_for_address(node, txid, addr):
         if any([addr == a for a in tx["vout"][i]["scriptPubKey"]["addresses"]]):
             return i
     raise RuntimeError("Vout not found for address: txid=%s, addr=%s" % (txid, addr))
+
+def modinv(a, n):
+    """Compute the modular inverse of a modulo n using the extended Euclidean
+    Algorithm. See https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm#Modular_integers.
+    """
+    # TODO: Change to pow(a, -1, n) available in Python 3.8
+    t1, t2 = 0, 1
+    r1, r2 = n, a
+    while r2 != 0:
+        q = r1 // r2
+        t1, t2 = t2, t1 - q * t2
+        r1, r2 = r2, r1 - q * r2
+    if r1 > 1:
+        return None
+    if t1 < 0:
+        t1 += n
+    return t1
+
+class TestFrameworkUtil(unittest.TestCase):
+    def test_modinv(self):
+        test_vectors = [
+            [7, 11],
+            [11, 29],
+            [90, 13],
+            [1891, 3797],
+            [6003722857, 77695236973],
+        ]
+
+        for a, n in test_vectors:
+            self.assertEqual(modinv(a, n), pow(a, n-2, n))

test/functional/test_runner.py

@@ -70,6 +70,7 @@
     "address",
     "blocktools",
     "script",
+    "util",
 ]
 
 EXTENDED_SCRIPTS = [