[libc][math] Refactor asin implementation to header-only in src/__support/math folder. (#148578)
Part of #147386 in preparation for: https://discourse.llvm.org/t/rfc-make-clang-builtin-math-functions-constexpr-with-llvm-libc-to-support-c-23-constexpr-math-functions/86450
This commit is contained in:
Muhammad Bassiouni
GitHub
parent
3f3d779ff8
commit
bc19aedba2
@ -17,6 +17,7 @@
|
||||
#include "math/acoshf.h"
|
||||
#include "math/acoshf16.h"
|
||||
#include "math/acospif16.h"
|
||||
#include "math/asin.h"
|
||||
#include "math/erff.h"
|
||||
#include "math/exp.h"
|
||||
#include "math/exp10.h"
|
||||
|
||||
23
libc/shared/math/asin.h
Normal file
23
libc/shared/math/asin.h
Normal file
@ -0,0 +1,23 @@
|
||||
//===-- Shared asin function ------------------------------------*- C++ -*-===//
|
||||
//
|
||||
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
|
||||
// See https://llvm.org/LICENSE.txt for license information.
|
||||
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
|
||||
//
|
||||
//===----------------------------------------------------------------------===//
|
||||
|
||||
#ifndef LLVM_LIBC_SHARED_MATH_ASIN_H
|
||||
#define LLVM_LIBC_SHARED_MATH_ASIN_H
|
||||
|
||||
#include "shared/libc_common.h"
|
||||
#include "src/__support/math/asin.h"
|
||||
|
||||
namespace LIBC_NAMESPACE_DECL {
|
||||
namespace shared {
|
||||
|
||||
using math::asin;
|
||||
|
||||
} // namespace shared
|
||||
} // namespace LIBC_NAMESPACE_DECL
|
||||
|
||||
#endif // LLVM_LIBC_SHARED_MATH_ASIN_H
|
||||
@ -4,7 +4,6 @@ add_header_library(
|
||||
acos.h
|
||||
DEPENDS
|
||||
.asin_utils
|
||||
libc.src.__support.math.asin_utils
|
||||
libc.src.__support.FPUtil.double_double
|
||||
libc.src.__support.FPUtil.dyadic_float
|
||||
libc.src.__support.FPUtil.fenv_impl
|
||||
@ -124,6 +123,23 @@ add_header_library(
|
||||
libc.src.__support.macros.optimization
|
||||
)
|
||||
|
||||
add_header_library(
|
||||
asin
|
||||
HDRS
|
||||
asin.h
|
||||
DEPENDS
|
||||
.asin_utils
|
||||
libc.src.__support.FPUtil.double_double
|
||||
libc.src.__support.FPUtil.dyadic_float
|
||||
libc.src.__support.FPUtil.fenv_impl
|
||||
libc.src.__support.FPUtil.fp_bits
|
||||
libc.src.__support.FPUtil.multiply_add
|
||||
libc.src.__support.FPUtil.polyeval
|
||||
libc.src.__support.FPUtil.sqrt
|
||||
libc.src.__support.macros.optimization
|
||||
libc.src.__support.macros.properties.cpu_features
|
||||
)
|
||||
|
||||
add_header_library(
|
||||
erff
|
||||
HDRS
|
||||
|
||||
296
libc/src/__support/math/asin.h
Normal file
296
libc/src/__support/math/asin.h
Normal file
@ -0,0 +1,296 @@
|
||||
//===-- Implementation header for asin --------------------------*- C++ -*-===//
|
||||
//
|
||||
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
|
||||
// See https://llvm.org/LICENSE.txt for license information.
|
||||
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
|
||||
//
|
||||
//===----------------------------------------------------------------------===//
|
||||
|
||||
#ifndef LLVM_LIBC_SRC___SUPPORT_MATH_ASIN_H
|
||||
#define LLVM_LIBC_SRC___SUPPORT_MATH_ASIN_H
|
||||
|
||||
#include "asin_utils.h"
|
||||
#include "src/__support/FPUtil/FEnvImpl.h"
|
||||
#include "src/__support/FPUtil/FPBits.h"
|
||||
#include "src/__support/FPUtil/double_double.h"
|
||||
#include "src/__support/FPUtil/dyadic_float.h"
|
||||
#include "src/__support/FPUtil/multiply_add.h"
|
||||
#include "src/__support/FPUtil/sqrt.h"
|
||||
#include "src/__support/macros/config.h"
|
||||
#include "src/__support/macros/optimization.h" // LIBC_UNLIKELY
|
||||
#include "src/__support/macros/properties/cpu_features.h" // LIBC_TARGET_CPU_HAS_FMA
|
||||
#include "src/__support/math/asin_utils.h"
|
||||
|
||||
namespace LIBC_NAMESPACE_DECL {
|
||||
|
||||
namespace math {
|
||||
|
||||
static constexpr double asin(double x) {
|
||||
using namespace asin_internal;
|
||||
using Float128 = fputil::DyadicFloat<128>;
|
||||
using DoubleDouble = fputil::DoubleDouble;
|
||||
using FPBits = fputil::FPBits<double>;
|
||||
|
||||
FPBits xbits(x);
|
||||
int x_exp = xbits.get_biased_exponent();
|
||||
|
||||
// |x| < 0.5.
|
||||
if (x_exp < FPBits::EXP_BIAS - 1) {
|
||||
// |x| < 2^-26.
|
||||
if (LIBC_UNLIKELY(x_exp < FPBits::EXP_BIAS - 26)) {
|
||||
// When |x| < 2^-26, the relative error of the approximation asin(x) ~ x
|
||||
// is:
|
||||
// |asin(x) - x| / |asin(x)| < |x^3| / (6|x|)
|
||||
// = x^2 / 6
|
||||
// < 2^-54
|
||||
// < epsilon(1)/2.
|
||||
// So the correctly rounded values of asin(x) are:
|
||||
// = x + sign(x)*eps(x) if rounding mode = FE_TOWARDZERO,
|
||||
// or (rounding mode = FE_UPWARD and x is
|
||||
// negative),
|
||||
// = x otherwise.
|
||||
// To simplify the rounding decision and make it more efficient, we use
|
||||
// fma(x, 2^-54, x) instead.
|
||||
// Note: to use the formula x + 2^-54*x to decide the correct rounding, we
|
||||
// do need fma(x, 2^-54, x) to prevent underflow caused by 2^-54*x when
|
||||
// |x| < 2^-1022. For targets without FMA instructions, when x is close to
|
||||
// denormal range, we normalize x,
|
||||
#if defined(LIBC_MATH_HAS_SKIP_ACCURATE_PASS)
|
||||
return x;
|
||||
#elif defined(LIBC_TARGET_CPU_HAS_FMA_DOUBLE)
|
||||
return fputil::multiply_add(x, 0x1.0p-54, x);
|
||||
#else
|
||||
if (xbits.abs().uintval() == 0)
|
||||
return x;
|
||||
// Get sign(x) * min_normal.
|
||||
FPBits eps_bits = FPBits::min_normal();
|
||||
eps_bits.set_sign(xbits.sign());
|
||||
double eps = eps_bits.get_val();
|
||||
double normalize_const = (x_exp == 0) ? eps : 0.0;
|
||||
double scaled_normal =
|
||||
fputil::multiply_add(x + normalize_const, 0x1.0p54, eps);
|
||||
return fputil::multiply_add(scaled_normal, 0x1.0p-54, -normalize_const);
|
||||
#endif // LIBC_MATH_HAS_SKIP_ACCURATE_PASS
|
||||
}
|
||||
|
||||
#ifdef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
|
||||
return x * asin_eval(x * x);
|
||||
#else
|
||||
unsigned idx = 0;
|
||||
DoubleDouble x_sq = fputil::exact_mult(x, x);
|
||||
double err = xbits.abs().get_val() * 0x1.0p-51;
|
||||
// Polynomial approximation:
|
||||
// p ~ asin(x)/x
|
||||
|
||||
DoubleDouble p = asin_eval(x_sq, idx, err);
|
||||
// asin(x) ~ x * (ASIN_COEFFS[idx][0] + p)
|
||||
DoubleDouble r0 = fputil::exact_mult(x, p.hi);
|
||||
double r_lo = fputil::multiply_add(x, p.lo, r0.lo);
|
||||
|
||||
// Ziv's accuracy test.
|
||||
|
||||
double r_upper = r0.hi + (r_lo + err);
|
||||
double r_lower = r0.hi + (r_lo - err);
|
||||
|
||||
if (LIBC_LIKELY(r_upper == r_lower))
|
||||
return r_upper;
|
||||
|
||||
// Ziv's accuracy test failed, perform 128-bit calculation.
|
||||
|
||||
// Recalculate mod 1/64.
|
||||
idx = static_cast<unsigned>(fputil::nearest_integer(x_sq.hi * 0x1.0p6));
|
||||
|
||||
// Get x^2 - idx/64 exactly. When FMA is available, double-double
|
||||
// multiplication will be correct for all rounding modes. Otherwise we use
|
||||
// Float128 directly.
|
||||
Float128 x_f128(x);
|
||||
|
||||
#ifdef LIBC_TARGET_CPU_HAS_FMA_DOUBLE
|
||||
// u = x^2 - idx/64
|
||||
Float128 u_hi(
|
||||
fputil::multiply_add(static_cast<double>(idx), -0x1.0p-6, x_sq.hi));
|
||||
Float128 u = fputil::quick_add(u_hi, Float128(x_sq.lo));
|
||||
#else
|
||||
Float128 x_sq_f128 = fputil::quick_mul(x_f128, x_f128);
|
||||
Float128 u = fputil::quick_add(
|
||||
x_sq_f128, Float128(static_cast<double>(idx) * (-0x1.0p-6)));
|
||||
#endif // LIBC_TARGET_CPU_HAS_FMA_DOUBLE
|
||||
|
||||
Float128 p_f128 = asin_eval(u, idx);
|
||||
Float128 r = fputil::quick_mul(x_f128, p_f128);
|
||||
|
||||
return static_cast<double>(r);
|
||||
#endif // LIBC_MATH_HAS_SKIP_ACCURATE_PASS
|
||||
}
|
||||
// |x| >= 0.5
|
||||
|
||||
double x_abs = xbits.abs().get_val();
|
||||
|
||||
// Maintaining the sign:
|
||||
constexpr double SIGN[2] = {1.0, -1.0};
|
||||
double x_sign = SIGN[xbits.is_neg()];
|
||||
|
||||
// |x| >= 1
|
||||
if (LIBC_UNLIKELY(x_exp >= FPBits::EXP_BIAS)) {
|
||||
// x = +-1, asin(x) = +- pi/2
|
||||
if (x_abs == 1.0) {
|
||||
// return +- pi/2
|
||||
return fputil::multiply_add(x_sign, PI_OVER_TWO.hi,
|
||||
x_sign * PI_OVER_TWO.lo);
|
||||
}
|
||||
// |x| > 1, return NaN.
|
||||
if (xbits.is_quiet_nan())
|
||||
return x;
|
||||
|
||||
// Set domain error for non-NaN input.
|
||||
if (!xbits.is_nan())
|
||||
fputil::set_errno_if_required(EDOM);
|
||||
|
||||
fputil::raise_except_if_required(FE_INVALID);
|
||||
return FPBits::quiet_nan().get_val();
|
||||
}
|
||||
|
||||
// When |x| >= 0.5, we perform range reduction as follow:
|
||||
//
|
||||
// Assume further that 0.5 <= x < 1, and let:
|
||||
// y = asin(x)
|
||||
// We will use the double angle formula:
|
||||
// cos(2y) = 1 - 2 sin^2(y)
|
||||
// and the complement angle identity:
|
||||
// x = sin(y) = cos(pi/2 - y)
|
||||
// = 1 - 2 sin^2 (pi/4 - y/2)
|
||||
// So:
|
||||
// sin(pi/4 - y/2) = sqrt( (1 - x)/2 )
|
||||
// And hence:
|
||||
// pi/4 - y/2 = asin( sqrt( (1 - x)/2 ) )
|
||||
// Equivalently:
|
||||
// asin(x) = y = pi/2 - 2 * asin( sqrt( (1 - x)/2 ) )
|
||||
// Let u = (1 - x)/2, then:
|
||||
// asin(x) = pi/2 - 2 * asin( sqrt(u) )
|
||||
// Moreover, since 0.5 <= x < 1:
|
||||
// 0 < u <= 1/4, and 0 < sqrt(u) <= 0.5,
|
||||
// And hence we can reuse the same polynomial approximation of asin(x) when
|
||||
// |x| <= 0.5:
|
||||
// asin(x) ~ pi/2 - 2 * sqrt(u) * P(u),
|
||||
|
||||
// u = (1 - |x|)/2
|
||||
double u = fputil::multiply_add(x_abs, -0.5, 0.5);
|
||||
// v_hi + v_lo ~ sqrt(u).
|
||||
// Let:
|
||||
// h = u - v_hi^2 = (sqrt(u) - v_hi) * (sqrt(u) + v_hi)
|
||||
// Then:
|
||||
// sqrt(u) = v_hi + h / (sqrt(u) + v_hi)
|
||||
// ~ v_hi + h / (2 * v_hi)
|
||||
// So we can use:
|
||||
// v_lo = h / (2 * v_hi).
|
||||
// Then,
|
||||
// asin(x) ~ pi/2 - 2*(v_hi + v_lo) * P(u)
|
||||
double v_hi = fputil::sqrt<double>(u);
|
||||
|
||||
#ifdef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
|
||||
double p = asin_eval(u);
|
||||
double r = x_sign * fputil::multiply_add(-2.0 * v_hi, p, PI_OVER_TWO.hi);
|
||||
return r;
|
||||
#else
|
||||
|
||||
#ifdef LIBC_TARGET_CPU_HAS_FMA_DOUBLE
|
||||
double h = fputil::multiply_add(v_hi, -v_hi, u);
|
||||
#else
|
||||
DoubleDouble v_hi_sq = fputil::exact_mult(v_hi, v_hi);
|
||||
double h = (u - v_hi_sq.hi) - v_hi_sq.lo;
|
||||
#endif // LIBC_TARGET_CPU_HAS_FMA_DOUBLE
|
||||
|
||||
// Scale v_lo and v_hi by 2 from the formula:
|
||||
// vh = v_hi * 2
|
||||
// vl = 2*v_lo = h / v_hi.
|
||||
double vh = v_hi * 2.0;
|
||||
double vl = h / v_hi;
|
||||
|
||||
// Polynomial approximation:
|
||||
// p ~ asin(sqrt(u))/sqrt(u)
|
||||
unsigned idx = 0;
|
||||
double err = vh * 0x1.0p-51;
|
||||
|
||||
DoubleDouble p = asin_eval(DoubleDouble{0.0, u}, idx, err);
|
||||
|
||||
// Perform computations in double-double arithmetic:
|
||||
// asin(x) = pi/2 - (v_hi + v_lo) * (ASIN_COEFFS[idx][0] + p)
|
||||
DoubleDouble r0 = fputil::quick_mult(DoubleDouble{vl, vh}, p);
|
||||
DoubleDouble r = fputil::exact_add(PI_OVER_TWO.hi, -r0.hi);
|
||||
|
||||
double r_lo = PI_OVER_TWO.lo - r0.lo + r.lo;
|
||||
|
||||
// Ziv's accuracy test.
|
||||
|
||||
#ifdef LIBC_TARGET_CPU_HAS_FMA_DOUBLE
|
||||
double r_upper = fputil::multiply_add(
|
||||
r.hi, x_sign, fputil::multiply_add(r_lo, x_sign, err));
|
||||
double r_lower = fputil::multiply_add(
|
||||
r.hi, x_sign, fputil::multiply_add(r_lo, x_sign, -err));
|
||||
#else
|
||||
r_lo *= x_sign;
|
||||
r.hi *= x_sign;
|
||||
double r_upper = r.hi + (r_lo + err);
|
||||
double r_lower = r.hi + (r_lo - err);
|
||||
#endif // LIBC_TARGET_CPU_HAS_FMA_DOUBLE
|
||||
|
||||
if (LIBC_LIKELY(r_upper == r_lower))
|
||||
return r_upper;
|
||||
|
||||
// Ziv's accuracy test failed, we redo the computations in Float128.
|
||||
// Recalculate mod 1/64.
|
||||
idx = static_cast<unsigned>(fputil::nearest_integer(u * 0x1.0p6));
|
||||
|
||||
// After the first step of Newton-Raphson approximating v = sqrt(u), we have
|
||||
// that:
|
||||
// sqrt(u) = v_hi + h / (sqrt(u) + v_hi)
|
||||
// v_lo = h / (2 * v_hi)
|
||||
// With error:
|
||||
// sqrt(u) - (v_hi + v_lo) = h * ( 1/(sqrt(u) + v_hi) - 1/(2*v_hi) )
|
||||
// = -h^2 / (2*v * (sqrt(u) + v)^2).
|
||||
// Since:
|
||||
// (sqrt(u) + v_hi)^2 ~ (2sqrt(u))^2 = 4u,
|
||||
// we can add another correction term to (v_hi + v_lo) that is:
|
||||
// v_ll = -h^2 / (2*v_hi * 4u)
|
||||
// = -v_lo * (h / 4u)
|
||||
// = -vl * (h / 8u),
|
||||
// making the errors:
|
||||
// sqrt(u) - (v_hi + v_lo + v_ll) = O(h^3)
|
||||
// well beyond 128-bit precision needed.
|
||||
|
||||
// Get the rounding error of vl = 2 * v_lo ~ h / vh
|
||||
// Get full product of vh * vl
|
||||
#ifdef LIBC_TARGET_CPU_HAS_FMA_DOUBLE
|
||||
double vl_lo = fputil::multiply_add(-v_hi, vl, h) / v_hi;
|
||||
#else
|
||||
DoubleDouble vh_vl = fputil::exact_mult(v_hi, vl);
|
||||
double vl_lo = ((h - vh_vl.hi) - vh_vl.lo) / v_hi;
|
||||
#endif // LIBC_TARGET_CPU_HAS_FMA_DOUBLE
|
||||
// vll = 2*v_ll = -vl * (h / (4u)).
|
||||
double t = h * (-0.25) / u;
|
||||
double vll = fputil::multiply_add(vl, t, vl_lo);
|
||||
// m_v = -(v_hi + v_lo + v_ll).
|
||||
Float128 m_v = fputil::quick_add(
|
||||
Float128(vh), fputil::quick_add(Float128(vl), Float128(vll)));
|
||||
m_v.sign = Sign::NEG;
|
||||
|
||||
// Perform computations in Float128:
|
||||
// asin(x) = pi/2 - (v_hi + v_lo + vll) * P(u).
|
||||
Float128 y_f128(fputil::multiply_add(static_cast<double>(idx), -0x1.0p-6, u));
|
||||
|
||||
Float128 p_f128 = asin_eval(y_f128, idx);
|
||||
Float128 r0_f128 = fputil::quick_mul(m_v, p_f128);
|
||||
Float128 r_f128 = fputil::quick_add(PI_OVER_TWO_F128, r0_f128);
|
||||
|
||||
if (xbits.is_neg())
|
||||
r_f128.sign = Sign::NEG;
|
||||
|
||||
return static_cast<double>(r_f128);
|
||||
#endif // LIBC_MATH_HAS_SKIP_ACCURATE_PASS
|
||||
}
|
||||
|
||||
} // namespace math
|
||||
|
||||
} // namespace LIBC_NAMESPACE_DECL
|
||||
|
||||
#endif // LLVM_LIBC_SRC___SUPPORT_MATH_ASIN_H
|
||||
@ -3993,16 +3993,7 @@ add_entrypoint_object(
|
||||
HDRS
|
||||
../asin.h
|
||||
DEPENDS
|
||||
libc.src.__support.math.asin_utils
|
||||
libc.src.__support.FPUtil.double_double
|
||||
libc.src.__support.FPUtil.dyadic_float
|
||||
libc.src.__support.FPUtil.fenv_impl
|
||||
libc.src.__support.FPUtil.fp_bits
|
||||
libc.src.__support.FPUtil.multiply_add
|
||||
libc.src.__support.FPUtil.polyeval
|
||||
libc.src.__support.FPUtil.sqrt
|
||||
libc.src.__support.macros.optimization
|
||||
libc.src.__support.macros.properties.cpu_features
|
||||
libc.src.__support.math.asin
|
||||
)
|
||||
|
||||
add_entrypoint_object(
|
||||
|
||||
@ -7,23 +7,10 @@
|
||||
//===----------------------------------------------------------------------===//
|
||||
|
||||
#include "src/math/asin.h"
|
||||
#include "src/__support/FPUtil/FEnvImpl.h"
|
||||
#include "src/__support/FPUtil/FPBits.h"
|
||||
#include "src/__support/FPUtil/PolyEval.h"
|
||||
#include "src/__support/FPUtil/double_double.h"
|
||||
#include "src/__support/FPUtil/dyadic_float.h"
|
||||
#include "src/__support/FPUtil/multiply_add.h"
|
||||
#include "src/__support/FPUtil/sqrt.h"
|
||||
#include "src/__support/macros/config.h"
|
||||
#include "src/__support/macros/optimization.h" // LIBC_UNLIKELY
|
||||
#include "src/__support/macros/properties/cpu_features.h" // LIBC_TARGET_CPU_HAS_FMA
|
||||
#include "src/__support/math/asin_utils.h"
|
||||
#include "src/__support/math/asin.h"
|
||||
|
||||
namespace LIBC_NAMESPACE_DECL {
|
||||
|
||||
using DoubleDouble = fputil::DoubleDouble;
|
||||
using Float128 = fputil::DyadicFloat<128>;
|
||||
|
||||
LLVM_LIBC_FUNCTION(double, asin, (double x)) {
|
||||
using namespace asin_internal;
|
||||
using FPBits = fputil::FPBits<double>;
|
||||
|
||||
@ -13,6 +13,7 @@ add_fp_unittest(
|
||||
libc.src.__support.math.acoshf
|
||||
libc.src.__support.math.acoshf16
|
||||
libc.src.__support.math.acospif16
|
||||
libc.src.__support.math.asin
|
||||
libc.src.__support.math.erff
|
||||
libc.src.__support.math.exp
|
||||
libc.src.__support.math.exp10
|
||||
|
||||
@ -39,10 +39,10 @@ TEST(LlvmLibcSharedMathTest, AllFloat) {
|
||||
int exponent;
|
||||
|
||||
EXPECT_FP_EQ(0x1.921fb6p+0, LIBC_NAMESPACE::shared::acosf(0.0f));
|
||||
EXPECT_FP_EQ(0x0p+0f, LIBC_NAMESPACE::shared::acoshf(1.0f));
|
||||
EXPECT_FP_EQ(0x0p+0f, LIBC_NAMESPACE::shared::erff(0.0f));
|
||||
EXPECT_FP_EQ(0x1p+0f, LIBC_NAMESPACE::shared::exp10f(0.0f));
|
||||
EXPECT_FP_EQ(0x1p+0f, LIBC_NAMESPACE::shared::expf(0.0f));
|
||||
EXPECT_FP_EQ(0x0p+0f, LIBC_NAMESPACE::shared::erff(0.0f));
|
||||
EXPECT_FP_EQ(0x0p+0f, LIBC_NAMESPACE::shared::acoshf(1.0f));
|
||||
|
||||
EXPECT_FP_EQ_ALL_ROUNDING(0.75f,
|
||||
LIBC_NAMESPACE::shared::frexpf(24.0f, &exponent));
|
||||
@ -54,6 +54,7 @@ TEST(LlvmLibcSharedMathTest, AllFloat) {
|
||||
|
||||
TEST(LlvmLibcSharedMathTest, AllDouble) {
|
||||
EXPECT_FP_EQ(0x1.921fb54442d18p+0, LIBC_NAMESPACE::shared::acos(0.0));
|
||||
EXPECT_FP_EQ(0x0p+0, LIBC_NAMESPACE::shared::asin(0.0));
|
||||
EXPECT_FP_EQ(0x1p+0, LIBC_NAMESPACE::shared::exp(0.0));
|
||||
EXPECT_FP_EQ(0x1p+0, LIBC_NAMESPACE::shared::exp10(0.0));
|
||||
}
|
||||
|
||||
@ -2213,6 +2213,23 @@ libc_support_library(
|
||||
],
|
||||
)
|
||||
|
||||
libc_support_library(
|
||||
name = "__support_math_asin",
|
||||
hdrs = ["src/__support/math/asin.h"],
|
||||
deps = [
|
||||
":__support_math_asin_utils",
|
||||
":__support_fputil_double_double",
|
||||
":__support_fputil_dyadic_float",
|
||||
":__support_fputil_fenv_impl",
|
||||
":__support_fputil_fp_bits",
|
||||
":__support_fputil_multiply_add",
|
||||
":__support_fputil_polyeval",
|
||||
":__support_fputil_sqrt",
|
||||
":__support_macros_optimization",
|
||||
":__support_macros_properties_cpu_features",
|
||||
],
|
||||
)
|
||||
|
||||
libc_support_library(
|
||||
name = "__support_math_erff",
|
||||
hdrs = ["src/__support/math/erff.h"],
|
||||
@ -2758,6 +2775,13 @@ libc_math_function(
|
||||
],
|
||||
)
|
||||
|
||||
libc_math_function(
|
||||
name = "asin",
|
||||
additional_deps = [
|
||||
":__support_math_asin",
|
||||
],
|
||||
)
|
||||
|
||||
libc_math_function(
|
||||
name = "asinf",
|
||||
additional_deps = [
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user