clang-format

Author: wldfngrs

libc/src/math/generic/asinf16.cpp

@@ -11,9 +11,9 @@
 #include "hdr/fenv_macros.h"
 #include "src/__support/FPUtil/FEnvImpl.h"
 #include "src/__support/FPUtil/FPBits.h"
+#include "src/__support/FPUtil/PolyEval.h"
 #include "src/__support/FPUtil/cast.h"
 #include "src/__support/FPUtil/multiply_add.h"
-#include "src/__support/FPUtil/PolyEval.h"
 #include "src/__support/FPUtil/sqrt.h"
 #include "src/__support/macros/optimization.h"
 
@@ -32,17 +32,18 @@ LLVM_LIBC_FUNCTION(float16, asinf16, (float16 x)) {
   float xf = x;
 
   float xsq = xf * xf;
-  
+
   // |x| <= 0x1p-1, |x| <= 0.5
-  if (x_abs <= 0x3800) { 
+  if (x_abs <= 0x3800) {
     if (LIBC_UNLIKELY(x_abs <= 0x1a1e)) {
       // asinf16(+/-0) = +/-0
       if (LIBC_UNLIKELY(x_abs == 0U)) {
         return x;
       }
-      
+
       // Exhaustive tests show that, when:
-      // x > 0, and rounding upward, then,
+      // x > 0, and rounding upward, or
+      // x < 0, and rounding downward, then,
       // asin(x) = x * 2^-11 + x
       // else, in other rounding modes,
       // asin(x) = x
@@ -57,10 +58,12 @@ LLVM_LIBC_FUNCTION(float16, asinf16, (float16 x)) {
 
     // Degree-6 minimax odd polynomial of asin(x) generated by Sollya with:
     // > P = fpminimax(asin(x)/x, [|0, 2, 4, 6, 8|], [|SG...|], [0, 0.5]);
-    float result = fputil::polyeval(xsq, 0x1.000002p0f, 0x1.554c2ap-3f, 0x1.3541ccp-4f, 0x1.43b2d6p-5f, 0x1.a0d73ep-5f);
+    float result =
+        fputil::polyeval(xsq, 0x1.000002p0f, 0x1.554c2ap-3f, 0x1.3541ccp-4f,
+                         0x1.43b2d6p-5f, 0x1.a0d73ep-5f);
     return fputil::cast<float16>(xf * result);
   }
- 
+
   // |x| > 1, asinf16(x) = NaN
   if (LIBC_UNLIKELY(x_abs > 0x3c00)) {
     // |x| <= +/-inf
@@ -72,7 +75,7 @@ LLVM_LIBC_FUNCTION(float16, asinf16, (float16 x)) {
     return FPBits::quiet_nan().get_val();
   }
 
-  // When |x| > 0.5, assume that 0.5 < |x| <= 1, 
+  // When |x| > 0.5, assume that 0.5 < |x| <= 1,
   //
   // Step-by-step range-reduction proof:
   // 1:  Let y = asin(x), such that, x = sin(y)
@@ -95,26 +98,29 @@ LLVM_LIBC_FUNCTION(float16, asinf16, (float16 x)) {
   //       y = pi/2 - 2 * arcsin(sqrt(u))
   // 10: Recall [1], y = asin(x). Therefore:
   //       arcsin(x) = pi/2 - 2 * arcsin(sqrt(u))
-  // 
+  //
   // WHY?
   // 11: Recall [7], u = (1 - x)/2
   // 12: Since 0.5 < x <= 1, therefore:
   //       0 <= u <= 0.25 and 0 <= sqrt(u) <= 0.5
-  // 
-  // Hence, we can reuse the same [0, 0.5] domain polynomial approximation for Step [10] 
-  // as `sqrt(u)` is in range. 
-  
+  //
+  // Hence, we can reuse the same [0, 0.5] domain polynomial approximation for
+  // Step [10] as `sqrt(u)` is in range.
+
   // 0x1p-1 < |x| <= 0x1p0, 0.5 < |x| <= 1.0
   float xf_abs = (xf < 0 ? -xf : xf);
   float sign = ((xbits.uintval() >> 15) == 1 ? -1.0 : 1.0);
   float u = fputil::multiply_add(-0.5f, xf_abs, 0.5f);
   float u_sqrt = fputil::sqrt<float>(u);
-  
+
   // Degree-6 minimax odd polynomial of asin(x) generated by Sollya with:
   // > P = fpminimax(asin(x)/x, [|0, 2, 4, 6, 8|], [|SG...|], [0, 0.5]);
-  float asin_sqrt_u = u_sqrt * fputil::polyeval(u, 0x1.000002p0f, 0x1.554c2ap-3f, 0x1.3541ccp-4f, 0x1.43b2d6p-5f, 0x1.a0d73ep-5f);
-  
-  return fputil::cast<float16>(sign * fputil::multiply_add(-2.0f, asin_sqrt_u, PI_2));
-}
+  float asin_sqrt_u =
+      u_sqrt * fputil::polyeval(u, 0x1.000002p0f, 0x1.554c2ap-3f,
+                                0x1.3541ccp-4f, 0x1.43b2d6p-5f, 0x1.a0d73ep-5f);
 
+  return fputil::cast<float16>(sign *
+                               fputil::multiply_add(-2.0f, asin_sqrt_u, PI_2));
 }
+
+} // namespace LIBC_NAMESPACE_DECL

libc/test/src/math/asinf16_test.cpp

@@ -27,14 +27,16 @@ TEST_F(LlvmLibcAsinf16Test, PositiveRange) {
   for (uint16_t v = POS_START; v <= POS_STOP; ++v) {
     float16 x = FPBits(v).get_val();
 
-    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Asin, x, LIBC_NAMESPACE::asinf16(x), 0.5);
+    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Asin, x,
+                                   LIBC_NAMESPACE::asinf16(x), 0.5);
   }
 }
 
 TEST_F(LlvmLibcAsinf16Test, NegativeRange) {
   for (uint16_t v = NEG_START; v <= NEG_STOP; ++v) {
     float16 x = FPBits(v).get_val();
 
-    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Asin, x, LIBC_NAMESPACE::asinf16(x), 0.5);
+    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Asin, x,
+                                   LIBC_NAMESPACE::asinf16(x), 0.5);
   }
 }