[libc-commits] [libc] [llvm] [libc][math][c23] Add asinbf16 math function (PR #184170)
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libc-commits at lists.llvm.org
Sat Mar 28 22:37:09 PDT 2026
================
@@ -36,62 +35,63 @@ LIBC_INLINE bfloat16 asinbf16(bfloat16 x) {
float x_sign = (x_u >> 15) ? -1 : 1;
float xf = x;
- // case 1: |x|>=1, NaN or Inf
- if (LIBC_UNLIKELY(x_abs >= 0x3F80)) {
- if (x_abs == 0x3F80) {
- return fputil::cast<bfloat16>(x_sign * PI_2);
- }
- // NaN
- if (xbits.is_nan()) {
- if (xbits.is_signaling_nan()) {
- fputil::raise_except_if_required(FE_INVALID);
- return FPBits::quiet_nan().get_val();
- }
- return x; // quiet NaN
- }
- // |x|>1 & inf
- fputil::raise_except_if_required(FE_INVALID);
- fputil::set_errno_if_required(EDOM); // Domain is bounded
- return FPBits::quiet_nan().get_val();
- }
-
- // case 2: |x| = {0}
- if (LIBC_UNLIKELY(x_abs == 0))
- return x; // with sign
-
- if (LIBC_UNLIKELY(x_abs <= 0x3D00)) {
- int rounding = fputil::quick_get_round();
- if ((xbits.is_pos() && rounding == FE_UPWARD) ||
- (xbits.is_neg() && rounding == FE_DOWNWARD)) {
- return fputil::cast<bfloat16>(fputil::multiply_add(xf, 0x1.0p-13f, xf));
- }
- return x;
- }
-
float xf_abs = (xf < 0 ? -xf : xf);
float x_sq = xf_abs * xf_abs;
- // case 3: (0,0.5]
+ // Case 1: |x| <= 0.5
if (x_abs <= 0x3F00) {
- double xp = inv_trigf_utils_internal::asin_eval(x_sq);
+ // |x| = {0}
+ if (LIBC_UNLIKELY(x_abs == 0))
+ return x; // with sign
+
+ if (LIBC_UNLIKELY(x_abs <= 0x3D00)) {
+ int rounding = fputil::quick_get_round();
+ if ((xbits.is_pos() && rounding == FE_UPWARD) ||
+ (xbits.is_neg() && rounding == FE_DOWNWARD)) {
+ return fputil::cast<bfloat16>(fputil::multiply_add(xf, 0x1.0p-9f, xf));
+ }
+ return x;
+ }
+
+ float xp = fputil::cast<float>(inv_trigf_utils_internal::asin_eval(x_sq));
float result =
- xf * static_cast<float>(fputil::multiply_add<double>(x_sq, xp, 1.0));
+ xf * static_cast<float>(fputil::multiply_add<float>(x_sq, xp, 1.0));
return fputil::cast<bfloat16>(result);
}
- // case 4: (0.5,1)
+ // Case 2: 0.5 <|x| <= 1
// using reduction: asin(x) = pi/2 - 2*asin(sqrt((1-x)/2))
- float t = fputil::multiply_add<float>(xf_abs, -0.5f, 0.5f);
- float t_sqrt = fputil::sqrt<float>(t);
- double tp = inv_trigf_utils_internal::asin_eval(t);
- float asin_sqrt_t =
- t_sqrt * static_cast<float>(fputil::multiply_add<double>(t, tp, 1.0));
- float result = fputil::multiply_add<float>(-2.0f, asin_sqrt_t, PI_2);
- return fputil::cast<bfloat16>(x_sign * result);
+ if (x_abs <= 0x3F80 && x_abs > 0x3F00) {
----------------
Sukumarsawant wrote:
already fixed in [01d429b](https://github.com/llvm/llvm-project/pull/184170/commits/01d429bd1ae75b8a5f8daaa07d0dde64ce04d231)
https://github.com/llvm/llvm-project/pull/184170
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