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-rw-r--r--libc/config/linux/aarch64/entrypoints.txt1
-rw-r--r--libc/config/linux/x86_64/entrypoints.txt1
-rw-r--r--libc/docs/headers/math/index.rst2
-rw-r--r--libc/include/math.yaml7
-rw-r--r--libc/shared/math.h1
-rw-r--r--libc/shared/math/asinf16.h28
-rw-r--r--libc/src/__support/math/CMakeLists.txt14
-rw-r--r--libc/src/__support/math/acos.h2
-rw-r--r--libc/src/__support/math/acosf.h2
-rw-r--r--libc/src/__support/math/acosf16.h2
-rw-r--r--libc/src/__support/math/acoshf.h2
-rw-r--r--libc/src/__support/math/acoshf16.h2
-rw-r--r--libc/src/__support/math/acospif16.h2
-rw-r--r--libc/src/__support/math/asin.h2
-rw-r--r--libc/src/__support/math/asinf16.h146
-rw-r--r--libc/src/__support/math/erff.h2
-rw-r--r--libc/src/__support/math/exp.h14
-rw-r--r--libc/src/__support/math/exp10.h19
-rw-r--r--libc/src/__support/math/exp10f.h2
-rw-r--r--libc/src/__support/math/exp10f16.h2
-rw-r--r--libc/src/__support/math/exp10f_utils.h2
-rw-r--r--libc/src/__support/math/exp_utils.h4
-rw-r--r--libc/src/__support/math/expf.h2
-rw-r--r--libc/src/__support/math/expf16.h2
-rw-r--r--libc/src/__support/math/expf16_utils.h3
-rw-r--r--libc/src/__support/math/frexpf.h2
-rw-r--r--libc/src/__support/math/frexpf128.h2
-rw-r--r--libc/src/__support/math/frexpf16.h2
-rw-r--r--libc/src/__support/math/ldexpf.h2
-rw-r--r--libc/src/__support/math/ldexpf128.h2
-rw-r--r--libc/src/__support/math/ldexpf16.h2
-rw-r--r--libc/src/math/CMakeLists.txt2
-rw-r--r--libc/src/math/asinpif16.h21
-rw-r--r--libc/src/math/generic/CMakeLists.txt30
-rw-r--r--libc/src/math/generic/asinf16.cpp121
-rw-r--r--libc/src/math/generic/asinpif16.cpp127
-rw-r--r--libc/test/shared/CMakeLists.txt1
-rw-r--r--libc/test/shared/shared_math_test.cpp1
-rw-r--r--libc/test/src/math/CMakeLists.txt11
-rw-r--r--libc/test/src/math/asinpif16_test.cpp40
-rw-r--r--libc/test/src/math/smoke/CMakeLists.txt12
-rw-r--r--libc/test/src/math/smoke/asinpif16_test.cpp86
-rw-r--r--libc/utils/MPFRWrapper/MPCommon.cpp6
-rw-r--r--libc/utils/MPFRWrapper/MPCommon.h1
-rw-r--r--libc/utils/MPFRWrapper/MPFRUtils.cpp2
-rw-r--r--libc/utils/MPFRWrapper/MPFRUtils.h1
46 files changed, 236 insertions, 504 deletions
diff --git a/libc/config/linux/aarch64/entrypoints.txt b/libc/config/linux/aarch64/entrypoints.txt
index fe7e055..b2abebe 100644
--- a/libc/config/linux/aarch64/entrypoints.txt
+++ b/libc/config/linux/aarch64/entrypoints.txt
@@ -660,7 +660,6 @@ if(LIBC_TYPES_HAS_FLOAT16)
list(APPEND TARGET_LIBM_ENTRYPOINTS
# math.h C23 _Float16 entrypoints
# libc.src.math.acoshf16
- libc.src.math.asinpif16
libc.src.math.canonicalizef16
libc.src.math.ceilf16
libc.src.math.copysignf16
diff --git a/libc/config/linux/x86_64/entrypoints.txt b/libc/config/linux/x86_64/entrypoints.txt
index 0f5ec1a..5e8278e 100644
--- a/libc/config/linux/x86_64/entrypoints.txt
+++ b/libc/config/linux/x86_64/entrypoints.txt
@@ -703,7 +703,6 @@ if(LIBC_TYPES_HAS_FLOAT16)
libc.src.math.acospif16
libc.src.math.asinf16
libc.src.math.asinhf16
- libc.src.math.asinpif16
libc.src.math.atanf16
libc.src.math.atanhf16
libc.src.math.canonicalizef16
diff --git a/libc/docs/headers/math/index.rst b/libc/docs/headers/math/index.rst
index 5a30917..9679c4a 100644
--- a/libc/docs/headers/math/index.rst
+++ b/libc/docs/headers/math/index.rst
@@ -259,7 +259,7 @@ Higher Math Functions
+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
| asinh | |check| | | | |check| | | 7.12.5.2 | F.10.2.2 |
+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| asinpi | | | | |check| | | 7.12.4.9 | F.10.1.9 |
+| asinpi | | | | | | 7.12.4.9 | F.10.1.9 |
+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
| atan | |check| | 1 ULP | | |check| | | 7.12.4.3 | F.10.1.3 |
+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
diff --git a/libc/include/math.yaml b/libc/include/math.yaml
index b3b9123..007be23 100644
--- a/libc/include/math.yaml
+++ b/libc/include/math.yaml
@@ -79,13 +79,6 @@ functions:
arguments:
- type: _Float16
guard: LIBC_TYPES_HAS_FLOAT16
- - name: asinpif16
- standards:
- - stdc
- return_type: _Float16
- arguments:
- - type: _Float16
- guard: LIBC_TYPES_HAS_FLOAT16
- name: atan
standards:
- stdc
diff --git a/libc/shared/math.h b/libc/shared/math.h
index 042daf6..e01c8db 100644
--- a/libc/shared/math.h
+++ b/libc/shared/math.h
@@ -19,6 +19,7 @@
#include "math/acospif16.h"
#include "math/asin.h"
#include "math/asinf.h"
+#include "math/asinf16.h"
#include "math/erff.h"
#include "math/exp.h"
#include "math/exp10.h"
diff --git a/libc/shared/math/asinf16.h b/libc/shared/math/asinf16.h
new file mode 100644
index 0000000..d545e26
--- /dev/null
+++ b/libc/shared/math/asinf16.h
@@ -0,0 +1,28 @@
+//===-- Shared asinf16 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_ASINF16_H
+#define LLVM_LIBC_SHARED_MATH_ASINF16_H
+
+#include "shared/libc_common.h"
+
+#ifdef LIBC_TYPES_HAS_FLOAT16
+
+#include "src/__support/math/asinf16.h"
+
+namespace LIBC_NAMESPACE_DECL {
+namespace shared {
+
+using math::asinf16;
+
+} // namespace shared
+} // namespace LIBC_NAMESPACE_DECL
+
+#endif // LIBC_TYPES_HAS_FLOAT16
+
+#endif // LLVM_LIBC_SHARED_MATH_ASINF_H
diff --git a/libc/src/__support/math/CMakeLists.txt b/libc/src/__support/math/CMakeLists.txt
index b096c61..1050938 100644
--- a/libc/src/__support/math/CMakeLists.txt
+++ b/libc/src/__support/math/CMakeLists.txt
@@ -157,6 +157,20 @@ add_header_library(
)
add_header_library(
+ asinf16
+ HDRS
+ asinf16.h
+ DEPENDS
+ libc.src.__support.FPUtil.fenv_impl
+ libc.src.__support.FPUtil.fp_bits
+ libc.src.__support.FPUtil.polyeval
+ libc.src.__support.FPUtil.cast
+ libc.src.__support.FPUtil.multiply_add
+ libc.src.__support.FPUtil.sqrt
+ libc.src.__support.macros.optimization
+)
+
+add_header_library(
erff
HDRS
erff.h
diff --git a/libc/src/__support/math/acos.h b/libc/src/__support/math/acos.h
index a52ead7..0e1e413 100644
--- a/libc/src/__support/math/acos.h
+++ b/libc/src/__support/math/acos.h
@@ -24,7 +24,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr double acos(double x) {
+LIBC_INLINE static constexpr double acos(double x) {
using DoubleDouble = fputil::DoubleDouble;
using namespace asin_internal;
using FPBits = fputil::FPBits<double>;
diff --git a/libc/src/__support/math/acosf.h b/libc/src/__support/math/acosf.h
index 153087e..7a0c0e5 100644
--- a/libc/src/__support/math/acosf.h
+++ b/libc/src/__support/math/acosf.h
@@ -45,7 +45,7 @@ static constexpr fputil::ExceptValues<float, N_EXCEPTS> ACOSF_EXCEPTS = {{
} // namespace acosf_internal
-static constexpr float acosf(float x) {
+LIBC_INLINE static constexpr float acosf(float x) {
using namespace acosf_internal;
using namespace inv_trigf_utils_internal;
using FPBits = typename fputil::FPBits<float>;
diff --git a/libc/src/__support/math/acosf16.h b/libc/src/__support/math/acosf16.h
index 58d3761..3f0e002 100644
--- a/libc/src/__support/math/acosf16.h
+++ b/libc/src/__support/math/acosf16.h
@@ -26,7 +26,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float16 acosf16(float16 x) {
+LIBC_INLINE static constexpr float16 acosf16(float16 x) {
// Generated by Sollya using the following command:
// > round(pi/2, SG, RN);
diff --git a/libc/src/__support/math/acoshf.h b/libc/src/__support/math/acoshf.h
index f18f169..4e00311 100644
--- a/libc/src/__support/math/acoshf.h
+++ b/libc/src/__support/math/acoshf.h
@@ -21,7 +21,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float acoshf(float x) {
+LIBC_INLINE static constexpr float acoshf(float x) {
using namespace acoshf_internal;
using FPBits_t = typename fputil::FPBits<float>;
FPBits_t xbits(x);
diff --git a/libc/src/__support/math/acoshf16.h b/libc/src/__support/math/acoshf16.h
index a02b7b6..e5be2a8 100644
--- a/libc/src/__support/math/acoshf16.h
+++ b/libc/src/__support/math/acoshf16.h
@@ -28,7 +28,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float16 acoshf16(float16 x) {
+LIBC_INLINE static constexpr float16 acoshf16(float16 x) {
using namespace acoshf_internal;
constexpr size_t N_EXCEPTS = 2;
diff --git a/libc/src/__support/math/acospif16.h b/libc/src/__support/math/acospif16.h
index 5829aed..cf29c76 100644
--- a/libc/src/__support/math/acospif16.h
+++ b/libc/src/__support/math/acospif16.h
@@ -25,7 +25,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float16 acospif16(float16 x) {
+LIBC_INLINE static constexpr float16 acospif16(float16 x) {
using FPBits = fputil::FPBits<float16>;
FPBits xbits(x);
diff --git a/libc/src/__support/math/asin.h b/libc/src/__support/math/asin.h
index 84fc1cf..5e06d04 100644
--- a/libc/src/__support/math/asin.h
+++ b/libc/src/__support/math/asin.h
@@ -25,7 +25,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr double asin(double x) {
+LIBC_INLINE static constexpr double asin(double x) {
using namespace asin_internal;
using FPBits = fputil::FPBits<double>;
diff --git a/libc/src/__support/math/asinf16.h b/libc/src/__support/math/asinf16.h
new file mode 100644
index 0000000..3d032a4
--- /dev/null
+++ b/libc/src/__support/math/asinf16.h
@@ -0,0 +1,146 @@
+//===-- Implementation header for asinf16 -----------------------*- 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_ASINF16_H
+#define LLVM_LIBC_SRC___SUPPORT_MATH_ASINF16_H
+
+#include "include/llvm-libc-macros/float16-macros.h"
+
+#ifdef LIBC_TYPES_HAS_FLOAT16
+
+#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/sqrt.h"
+#include "src/__support/macros/optimization.h"
+
+namespace LIBC_NAMESPACE_DECL {
+
+namespace math {
+
+LIBC_INLINE static constexpr float16 asinf16(float16 x) {
+
+ // Generated by Sollya using the following command:
+ // > round(pi/2, D, RN);
+ constexpr float PI_2 = 0x1.921fb54442d18p0f;
+
+ using FPBits = fputil::FPBits<float16>;
+ FPBits xbits(x);
+
+ uint16_t x_u = xbits.uintval();
+ uint16_t x_abs = x_u & 0x7fff;
+ float xf = x;
+
+ // |x| > 0x1p0, |x| > 1, or x is NaN.
+ if (LIBC_UNLIKELY(x_abs > 0x3c00)) {
+ // asinf16(NaN) = 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;
+ }
+
+ // 1 < |x| <= +/-inf
+ fputil::raise_except_if_required(FE_INVALID);
+ fputil::set_errno_if_required(EDOM);
+
+ return FPBits::quiet_nan().get_val();
+ }
+
+ float xsq = xf * xf;
+
+ // |x| <= 0x1p-1, |x| <= 0.5
+ if (x_abs <= 0x3800) {
+ // asinf16(+/-0) = +/-0
+ if (LIBC_UNLIKELY(x_abs == 0))
+ return x;
+
+ // Exhaustive tests show that,
+ // for |x| <= 0x1.878p-9, when:
+ // 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
+ if (LIBC_UNLIKELY(x_abs <= 0x1a1e)) {
+ int rounding = fputil::quick_get_round();
+
+ if ((xbits.is_pos() && rounding == FE_UPWARD) ||
+ (xbits.is_neg() && rounding == FE_DOWNWARD))
+ return fputil::cast<float16>(fputil::multiply_add(xf, 0x1.0p-11f, xf));
+ return 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);
+ return fputil::cast<float16>(xf * result);
+ }
+
+ // 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)
+ // 2: From complimentary angle identity:
+ // x = sin(y) = cos(pi/2 - y)
+ // 3: Let z = pi/2 - y, such that x = cos(z)
+ // 4: From double angle formula; cos(2A) = 1 - sin^2(A):
+ // z = 2A, z/2 = A
+ // cos(z) = 1 - 2 * sin^2(z/2)
+ // 5: Make sin(z/2) subject of the formula:
+ // sin(z/2) = sqrt((1 - cos(z))/2)
+ // 6: Recall [3]; x = cos(z). Therefore:
+ // sin(z/2) = sqrt((1 - x)/2)
+ // 7: Let u = (1 - x)/2
+ // 8: Therefore:
+ // asin(sqrt(u)) = z/2
+ // 2 * asin(sqrt(u)) = z
+ // 9: Recall [3], z = pi/2 - y. Therefore:
+ // y = pi/2 - z
+ // y = pi/2 - 2 * asin(sqrt(u))
+ // 10: Recall [1], y = asin(x). Therefore:
+ // asin(x) = pi/2 - 2 * asin(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.
+
+ // 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));
+}
+
+} // namespace math
+
+} // namespace LIBC_NAMESPACE_DECL
+
+#endif // LIBC_TYPES_HAS_FLOAT16
+
+#endif // LLVM_LIBC_SRC___SUPPORT_MATH_ASINF16_H
diff --git a/libc/src/__support/math/erff.h b/libc/src/__support/math/erff.h
index e54ec77..b81be30 100644
--- a/libc/src/__support/math/erff.h
+++ b/libc/src/__support/math/erff.h
@@ -19,7 +19,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float erff(float x) {
+LIBC_INLINE static constexpr float erff(float x) {
// Polynomials approximating erf(x)/x on ( k/8, (k + 1)/8 ) generated by
// Sollya with: > P = fpminimax(erf(x)/x, [|0, 2, 4, 6, 8, 10, 12, 14|],
diff --git a/libc/src/__support/math/exp.h b/libc/src/__support/math/exp.h
index 14f0592..83638e8 100644
--- a/libc/src/__support/math/exp.h
+++ b/libc/src/__support/math/exp.h
@@ -67,7 +67,7 @@ namespace {
// Return expm1(dx) / x ~ 1 + dx / 2 + dx^2 / 6 + dx^3 / 24.
// For |dx| < 2^-13 + 2^-30:
// | output - expm1(dx) / dx | < 2^-51.
-static double poly_approx_d(double dx) {
+LIBC_INLINE static double poly_approx_d(double dx) {
// dx^2
double dx2 = dx * dx;
// c0 = 1 + dx / 2
@@ -85,7 +85,7 @@ static double poly_approx_d(double dx) {
// Return exp(dx) ~ 1 + dx + dx^2 / 2 + ... + dx^6 / 720
// For |dx| < 2^-13 + 2^-30:
// | output - exp(dx) | < 2^-101
-static DoubleDouble poly_approx_dd(const DoubleDouble &dx) {
+LIBC_INLINE static DoubleDouble poly_approx_dd(const DoubleDouble &dx) {
// Taylor polynomial.
constexpr DoubleDouble COEFFS[] = {
{0, 0x1p0}, // 1
@@ -106,7 +106,7 @@ static DoubleDouble poly_approx_dd(const DoubleDouble &dx) {
// Return exp(dx) ~ 1 + dx + dx^2 / 2 + ... + dx^7 / 5040
// For |dx| < 2^-13 + 2^-30:
// | output - exp(dx) | < 2^-126.
-static Float128 poly_approx_f128(const Float128 &dx) {
+LIBC_INLINE static Float128 poly_approx_f128(const Float128 &dx) {
constexpr Float128 COEFFS_128[]{
{Sign::POS, -127, 0x80000000'00000000'00000000'00000000_u128}, // 1.0
{Sign::POS, -127, 0x80000000'00000000'00000000'00000000_u128}, // 1.0
@@ -127,7 +127,7 @@ static Float128 poly_approx_f128(const Float128 &dx) {
// Compute exp(x) using 128-bit precision.
// TODO(lntue): investigate triple-double precision implementation for this
// step.
-static Float128 exp_f128(double x, double kd, int idx1, int idx2) {
+LIBC_INLINE static Float128 exp_f128(double x, double kd, int idx1, int idx2) {
// Recalculate dx:
double t1 = fputil::multiply_add(kd, MLOG_2_EXP2_M12_HI, x); // exact
@@ -160,8 +160,8 @@ static Float128 exp_f128(double x, double kd, int idx1, int idx2) {
}
// Compute exp(x) with double-double precision.
-static DoubleDouble exp_double_double(double x, double kd,
- const DoubleDouble &exp_mid) {
+LIBC_INLINE static DoubleDouble exp_double_double(double x, double kd,
+ const DoubleDouble &exp_mid) {
// Recalculate dx:
// dx = x - k * 2^-12 * log(2)
double t1 = fputil::multiply_add(kd, MLOG_2_EXP2_M12_HI, x); // exact
@@ -184,7 +184,7 @@ static DoubleDouble exp_double_double(double x, double kd,
// Check for exceptional cases when
// |x| <= 2^-53 or x < log(2^-1075) or x >= 0x1.6232bdd7abcd3p+9
-static double set_exceptional(double x) {
+LIBC_INLINE static double set_exceptional(double x) {
using FPBits = typename fputil::FPBits<double>;
FPBits xbits(x);
diff --git a/libc/src/__support/math/exp10.h b/libc/src/__support/math/exp10.h
index fa60e40c..12a09d7 100644
--- a/libc/src/__support/math/exp10.h
+++ b/libc/src/__support/math/exp10.h
@@ -83,7 +83,8 @@ LIBC_INLINE static double exp10_poly_approx_d(double dx) {
// > P = fpminimax((10^x - 1)/x, 5, [|DD...|], [-2^-14, 2^-14]);
// Error bounds:
// | output - 10^(dx) | < 2^-101
-static constexpr DoubleDouble exp10_poly_approx_dd(const DoubleDouble &dx) {
+LIBC_INLINE static constexpr DoubleDouble
+exp10_poly_approx_dd(const DoubleDouble &dx) {
// Taylor polynomial.
constexpr DoubleDouble COEFFS[] = {
{0, 0x1p0},
@@ -105,7 +106,8 @@ static constexpr DoubleDouble exp10_poly_approx_dd(const DoubleDouble &dx) {
// Return exp(dx) ~ 1 + a0 * dx + a1 * dx^2 + ... + a6 * dx^7
// For |dx| < 2^-14:
// | output - 10^dx | < 1.5 * 2^-124.
-static constexpr Float128 exp10_poly_approx_f128(const Float128 &dx) {
+LIBC_INLINE static constexpr Float128
+exp10_poly_approx_f128(const Float128 &dx) {
constexpr Float128 COEFFS_128[]{
{Sign::POS, -127, 0x80000000'00000000'00000000'00000000_u128}, // 1.0
{Sign::POS, -126, 0x935d8ddd'aaa8ac16'ea56d62b'82d30a2d_u128},
@@ -126,7 +128,8 @@ static constexpr Float128 exp10_poly_approx_f128(const Float128 &dx) {
// Compute 10^(x) using 128-bit precision.
// TODO(lntue): investigate triple-double precision implementation for this
// step.
-static Float128 exp10_f128(double x, double kd, int idx1, int idx2) {
+LIBC_INLINE static Float128 exp10_f128(double x, double kd, int idx1,
+ int idx2) {
double t1 = fputil::multiply_add(kd, MLOG10_2_EXP2_M12_HI, x); // exact
double t2 = kd * MLOG10_2_EXP2_M12_MID_32; // exact
double t3 = kd * MLOG10_2_EXP2_M12_LO; // Error < 2^-144
@@ -157,8 +160,8 @@ static Float128 exp10_f128(double x, double kd, int idx1, int idx2) {
}
// Compute 10^x with double-double precision.
-static DoubleDouble exp10_double_double(double x, double kd,
- const DoubleDouble &exp_mid) {
+LIBC_INLINE static DoubleDouble
+exp10_double_double(double x, double kd, const DoubleDouble &exp_mid) {
// Recalculate dx:
// dx = x - k * 2^-12 * log10(2)
double t1 = fputil::multiply_add(kd, MLOG10_2_EXP2_M12_HI, x); // exact
@@ -180,7 +183,7 @@ static DoubleDouble exp10_double_double(double x, double kd,
#endif // LIBC_MATH_HAS_SKIP_ACCURATE_PASS
// When output is denormal.
-static double exp10_denorm(double x) {
+LIBC_INLINE static double exp10_denorm(double x) {
// Range reduction.
double tmp = fputil::multiply_add(x, LOG2_10, 0x1.8000'0000'4p21);
int k = static_cast<int>(cpp::bit_cast<uint64_t>(tmp) >> 19);
@@ -234,7 +237,7 @@ static double exp10_denorm(double x) {
// * x >= log10(2^1024)
// * x <= log10(2^-1022)
// * x is inf or nan
-static constexpr double exp10_set_exceptional(double x) {
+LIBC_INLINE static constexpr double exp10_set_exceptional(double x) {
using FPBits = typename fputil::FPBits<double>;
FPBits xbits(x);
@@ -285,7 +288,7 @@ static constexpr double exp10_set_exceptional(double x) {
namespace math {
-static constexpr double exp10(double x) {
+LIBC_INLINE static constexpr double exp10(double x) {
using FPBits = typename fputil::FPBits<double>;
FPBits xbits(x);
diff --git a/libc/src/__support/math/exp10f.h b/libc/src/__support/math/exp10f.h
index 807b4f0..76ae197 100644
--- a/libc/src/__support/math/exp10f.h
+++ b/libc/src/__support/math/exp10f.h
@@ -20,7 +20,7 @@
namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float exp10f(float x) {
+LIBC_INLINE static constexpr float exp10f(float x) {
using FPBits = typename fputil::FPBits<float>;
FPBits xbits(x);
diff --git a/libc/src/__support/math/exp10f16.h b/libc/src/__support/math/exp10f16.h
index 0d8b125..3eca867 100644
--- a/libc/src/__support/math/exp10f16.h
+++ b/libc/src/__support/math/exp10f16.h
@@ -57,7 +57,7 @@ static constexpr fputil::ExceptValues<float16, N_EXP10F16_EXCEPTS>
}};
#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
-static constexpr float16 exp10f16(float16 x) {
+LIBC_INLINE static constexpr float16 exp10f16(float16 x) {
using FPBits = fputil::FPBits<float16>;
FPBits x_bits(x);
diff --git a/libc/src/__support/math/exp10f_utils.h b/libc/src/__support/math/exp10f_utils.h
index c30def9..010a2f1 100644
--- a/libc/src/__support/math/exp10f_utils.h
+++ b/libc/src/__support/math/exp10f_utils.h
@@ -89,7 +89,7 @@ struct Exp10Base : public ExpBase {
0x1.0470591dff149p1, 0x1.2bd7c0a9fbc4dp0,
0x1.1429e74a98f43p-1};
- static double powb_lo(double dx) {
+ LIBC_INLINE static double powb_lo(double dx) {
using fputil::multiply_add;
double dx2 = dx * dx;
// c0 = 1 + COEFFS[0] * dx
diff --git a/libc/src/__support/math/exp_utils.h b/libc/src/__support/math/exp_utils.h
index fc9ab10..ef408ed 100644
--- a/libc/src/__support/math/exp_utils.h
+++ b/libc/src/__support/math/exp_utils.h
@@ -22,8 +22,8 @@ namespace LIBC_NAMESPACE_DECL {
// So if we scale x up by 2^1022, we can use
// double(1.0 + 2^1022 * x) - 1.0 to test how x is rounded in denormal range.
template <bool SKIP_ZIV_TEST = false>
-static constexpr cpp::optional<double> ziv_test_denorm(int hi, double mid,
- double lo, double err) {
+LIBC_INLINE static constexpr cpp::optional<double>
+ziv_test_denorm(int hi, double mid, double lo, double err) {
using FPBits = typename fputil::FPBits<double>;
// Scaling factor = 1/(min normal number) = 2^1022
diff --git a/libc/src/__support/math/expf.h b/libc/src/__support/math/expf.h
index 88c1514..f7e11be 100644
--- a/libc/src/__support/math/expf.h
+++ b/libc/src/__support/math/expf.h
@@ -24,7 +24,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float expf(float x) {
+LIBC_INLINE static constexpr float expf(float x) {
using FPBits = typename fputil::FPBits<float>;
FPBits xbits(x);
diff --git a/libc/src/__support/math/expf16.h b/libc/src/__support/math/expf16.h
index ded28c7..14302a7 100644
--- a/libc/src/__support/math/expf16.h
+++ b/libc/src/__support/math/expf16.h
@@ -31,7 +31,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float16 expf16(float16 x) {
+LIBC_INLINE static constexpr float16 expf16(float16 x) {
#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
constexpr fputil::ExceptValues<float16, 2> EXPF16_EXCEPTS_LO = {{
// (input, RZ output, RU offset, RD offset, RN offset)
diff --git a/libc/src/__support/math/expf16_utils.h b/libc/src/__support/math/expf16_utils.h
index 8a2fc94..4204dab7 100644
--- a/libc/src/__support/math/expf16_utils.h
+++ b/libc/src/__support/math/expf16_utils.h
@@ -47,7 +47,8 @@ struct ExpRangeReduction {
float exp_lo;
};
-[[maybe_unused]] static ExpRangeReduction exp_range_reduction(float16 x) {
+[[maybe_unused]] LIBC_INLINE static ExpRangeReduction
+exp_range_reduction(float16 x) {
// For -18 < x < 12, to compute exp(x), we perform the following range
// reduction: find hi, mid, lo, such that:
// x = hi + mid + lo, in which
diff --git a/libc/src/__support/math/frexpf.h b/libc/src/__support/math/frexpf.h
index 4d2f494..7834a12 100644
--- a/libc/src/__support/math/frexpf.h
+++ b/libc/src/__support/math/frexpf.h
@@ -17,7 +17,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float frexpf(float x, int *exp) {
+LIBC_INLINE static constexpr float frexpf(float x, int *exp) {
return fputil::frexp(x, *exp);
}
diff --git a/libc/src/__support/math/frexpf128.h b/libc/src/__support/math/frexpf128.h
index 2fd5bc4..5218b26 100644
--- a/libc/src/__support/math/frexpf128.h
+++ b/libc/src/__support/math/frexpf128.h
@@ -21,7 +21,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float128 frexpf128(float128 x, int *exp) {
+LIBC_INLINE static constexpr float128 frexpf128(float128 x, int *exp) {
return fputil::frexp(x, *exp);
}
diff --git a/libc/src/__support/math/frexpf16.h b/libc/src/__support/math/frexpf16.h
index 8deeba0..530b61a 100644
--- a/libc/src/__support/math/frexpf16.h
+++ b/libc/src/__support/math/frexpf16.h
@@ -21,7 +21,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float16 frexpf16(float16 x, int *exp) {
+LIBC_INLINE static constexpr float16 frexpf16(float16 x, int *exp) {
return fputil::frexp(x, *exp);
}
diff --git a/libc/src/__support/math/ldexpf.h b/libc/src/__support/math/ldexpf.h
index 3a5ec1d..9ef5d96 100644
--- a/libc/src/__support/math/ldexpf.h
+++ b/libc/src/__support/math/ldexpf.h
@@ -17,7 +17,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float ldexpf(float x, int exp) {
+LIBC_INLINE static constexpr float ldexpf(float x, int exp) {
return fputil::ldexp(x, exp);
}
diff --git a/libc/src/__support/math/ldexpf128.h b/libc/src/__support/math/ldexpf128.h
index 3625830..4fba20c 100644
--- a/libc/src/__support/math/ldexpf128.h
+++ b/libc/src/__support/math/ldexpf128.h
@@ -21,7 +21,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float128 ldexpf128(float128 x, int exp) {
+LIBC_INLINE static constexpr float128 ldexpf128(float128 x, int exp) {
return fputil::ldexp(x, exp);
}
diff --git a/libc/src/__support/math/ldexpf16.h b/libc/src/__support/math/ldexpf16.h
index fbead87..d978d22 100644
--- a/libc/src/__support/math/ldexpf16.h
+++ b/libc/src/__support/math/ldexpf16.h
@@ -21,7 +21,7 @@ namespace LIBC_NAMESPACE_DECL {
namespace math {
-static constexpr float16 ldexpf16(float16 x, int exp) {
+LIBC_INLINE static constexpr float16 ldexpf16(float16 x, int exp) {
return fputil::ldexp(x, exp);
}
diff --git a/libc/src/math/CMakeLists.txt b/libc/src/math/CMakeLists.txt
index fc064ab..455ad34 100644
--- a/libc/src/math/CMakeLists.txt
+++ b/libc/src/math/CMakeLists.txt
@@ -58,8 +58,6 @@ add_math_entrypoint_object(asinh)
add_math_entrypoint_object(asinhf)
add_math_entrypoint_object(asinhf16)
-add_math_entrypoint_object(asinpif16)
-
add_math_entrypoint_object(atan)
add_math_entrypoint_object(atanf)
add_math_entrypoint_object(atanf16)
diff --git a/libc/src/math/asinpif16.h b/libc/src/math/asinpif16.h
deleted file mode 100644
index b97166a..0000000
--- a/libc/src/math/asinpif16.h
+++ /dev/null
@@ -1,21 +0,0 @@
-//===-- Implementation header for asinpif16 ---------------------*- 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_MATH_ASINPIF16_H
-#define LLVM_LIBC_SRC_MATH_ASINPIF16_H
-
-#include "src/__support/macros/config.h"
-#include "src/__support/macros/properties/types.h"
-
-namespace LIBC_NAMESPACE_DECL {
-
-float16 asinpif16(float16 x);
-
-} // namespace LIBC_NAMESPACE_DECL
-
-#endif // LLVM_LIBC_SRC_MATH_ASINPIF16_H
diff --git a/libc/src/math/generic/CMakeLists.txt b/libc/src/math/generic/CMakeLists.txt
index 8116ee2..d4d268c 100644
--- a/libc/src/math/generic/CMakeLists.txt
+++ b/libc/src/math/generic/CMakeLists.txt
@@ -3919,25 +3919,6 @@ add_entrypoint_object(
)
add_entrypoint_object(
- asinpif16
- SRCS
- asinpif16.cpp
- HDRS
- ../asinpif16.h
- DEPENDS
- libc.hdr.errno_macros
- libc.hdr.fenv_macros
- libc.src.__support.FPUtil.cast
- libc.src.__support.FPUtil.except_value_utils
- 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
-)
-
-add_entrypoint_object(
atanhf
SRCS
atanhf.cpp
@@ -3987,16 +3968,7 @@ add_entrypoint_object(
HDRS
../asinf16.h
DEPENDS
- libc.hdr.errno_macros
- libc.hdr.fenv_macros
- libc.src.__support.FPUtil.cast
- 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.types
+ libc.src.__support.math.asinf16
)
add_entrypoint_object(
diff --git a/libc/src/math/generic/asinf16.cpp b/libc/src/math/generic/asinf16.cpp
index 518c384..af8dbfe 100644
--- a/libc/src/math/generic/asinf16.cpp
+++ b/libc/src/math/generic/asinf16.cpp
@@ -7,127 +7,10 @@
//===----------------------------------------------------------------------===//
#include "src/math/asinf16.h"
-#include "hdr/errno_macros.h"
-#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/sqrt.h"
-#include "src/__support/macros/optimization.h"
+#include "src/__support/math/asinf16.h"
namespace LIBC_NAMESPACE_DECL {
-// Generated by Sollya using the following command:
-// > round(pi/2, D, RN);
-static constexpr float PI_2 = 0x1.921fb54442d18p0f;
-
-LLVM_LIBC_FUNCTION(float16, asinf16, (float16 x)) {
- using FPBits = fputil::FPBits<float16>;
- FPBits xbits(x);
-
- uint16_t x_u = xbits.uintval();
- uint16_t x_abs = x_u & 0x7fff;
- float xf = x;
-
- // |x| > 0x1p0, |x| > 1, or x is NaN.
- if (LIBC_UNLIKELY(x_abs > 0x3c00)) {
- // asinf16(NaN) = 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;
- }
-
- // 1 < |x| <= +/-inf
- fputil::raise_except_if_required(FE_INVALID);
- fputil::set_errno_if_required(EDOM);
-
- return FPBits::quiet_nan().get_val();
- }
-
- float xsq = xf * xf;
-
- // |x| <= 0x1p-1, |x| <= 0.5
- if (x_abs <= 0x3800) {
- // asinf16(+/-0) = +/-0
- if (LIBC_UNLIKELY(x_abs == 0))
- return x;
-
- // Exhaustive tests show that,
- // for |x| <= 0x1.878p-9, when:
- // 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
- if (LIBC_UNLIKELY(x_abs <= 0x1a1e)) {
- int rounding = fputil::quick_get_round();
-
- if ((xbits.is_pos() && rounding == FE_UPWARD) ||
- (xbits.is_neg() && rounding == FE_DOWNWARD))
- return fputil::cast<float16>(fputil::multiply_add(xf, 0x1.0p-11f, xf));
- return 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);
- return fputil::cast<float16>(xf * result);
- }
-
- // 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)
- // 2: From complimentary angle identity:
- // x = sin(y) = cos(pi/2 - y)
- // 3: Let z = pi/2 - y, such that x = cos(z)
- // 4: From double angle formula; cos(2A) = 1 - sin^2(A):
- // z = 2A, z/2 = A
- // cos(z) = 1 - 2 * sin^2(z/2)
- // 5: Make sin(z/2) subject of the formula:
- // sin(z/2) = sqrt((1 - cos(z))/2)
- // 6: Recall [3]; x = cos(z). Therefore:
- // sin(z/2) = sqrt((1 - x)/2)
- // 7: Let u = (1 - x)/2
- // 8: Therefore:
- // asin(sqrt(u)) = z/2
- // 2 * asin(sqrt(u)) = z
- // 9: Recall [3], z = pi/2 - y. Therefore:
- // y = pi/2 - z
- // y = pi/2 - 2 * asin(sqrt(u))
- // 10: Recall [1], y = asin(x). Therefore:
- // asin(x) = pi/2 - 2 * asin(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.
-
- // 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));
-}
+LLVM_LIBC_FUNCTION(float16, asinf16, (float16 x)) { return math::asinf16(x); }
} // namespace LIBC_NAMESPACE_DECL
diff --git a/libc/src/math/generic/asinpif16.cpp b/libc/src/math/generic/asinpif16.cpp
deleted file mode 100644
index aabc086..0000000
--- a/libc/src/math/generic/asinpif16.cpp
+++ /dev/null
@@ -1,127 +0,0 @@
-//===-- Half-precision asinpif16(x) function ------------------------------===//
-//
-// 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.
-//
-//===----------------------------------------------------------------------===//
-
-#include "src/math/asinpif16.h"
-#include "hdr/errno_macros.h"
-#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/except_value_utils.h"
-#include "src/__support/FPUtil/multiply_add.h"
-#include "src/__support/FPUtil/sqrt.h"
-#include "src/__support/macros/optimization.h"
-
-namespace LIBC_NAMESPACE_DECL {
-
-LLVM_LIBC_FUNCTION(float16, asinpif16, (float16 x)) {
- using FPBits = fputil::FPBits<float16>;
-
- FPBits xbits(x);
- bool is_neg = xbits.is_neg();
- double x_abs = fputil::cast<double>(xbits.abs().get_val());
-
- auto signed_result = [is_neg](auto r) -> auto { return is_neg ? -r : r; };
-
- if (LIBC_UNLIKELY(x_abs > 1.0)) {
- // aspinf16(NaN) = 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;
- }
-
- // 1 < |x| <= +/-inf
- fputil::raise_except_if_required(FE_INVALID);
- fputil::set_errno_if_required(EDOM);
-
- return FPBits::quiet_nan().get_val();
- }
-
- // the coefficients for the polynomial approximation of asin(x)/pi in the
- // range [0, 0.5] extracted using python-sympy
- //
- // Python code to generate the coefficients:
- // > from sympy import *
- // > import math
- // > x = symbols('x')
- // > print(series(asin(x)/math.pi, x, 0, 21))
- //
- // OUTPUT:
- //
- // 0.318309886183791*x + 0.0530516476972984*x**3 + 0.0238732414637843*x**5 +
- // 0.0142102627760621*x**7 + 0.00967087327815336*x**9 +
- // 0.00712127941391293*x**11 + 0.00552355646848375*x**13 +
- // 0.00444514782463692*x**15 + 0.00367705242846804*x**17 +
- // 0.00310721681820837*x**19 + O(x**21)
- //
- // it's very accurate in the range [0, 0.5] and has a maximum error of
- // 0.0000000000000001 in the range [0, 0.5].
- constexpr double POLY_COEFFS[] = {
- 0x1.45f306dc9c889p-2, // x^1
- 0x1.b2995e7b7b5fdp-5, // x^3
- 0x1.8723a1d588a36p-6, // x^5
- 0x1.d1a452f20430dp-7, // x^7
- 0x1.3ce52a3a09f61p-7, // x^9
- 0x1.d2b33e303d375p-8, // x^11
- 0x1.69fde663c674fp-8, // x^13
- 0x1.235134885f19bp-8, // x^15
- };
- // polynomial evaluation using horner's method
- // work only for |x| in [0, 0.5]
- auto asinpi_polyeval = [](double x) -> double {
- return x * fputil::polyeval(x * x, POLY_COEFFS[0], POLY_COEFFS[1],
- POLY_COEFFS[2], POLY_COEFFS[3], POLY_COEFFS[4],
- POLY_COEFFS[5], POLY_COEFFS[6], POLY_COEFFS[7]);
- };
-
- // if |x| <= 0.5:
- if (LIBC_UNLIKELY(x_abs <= 0.5)) {
- // Use polynomial approximation of asin(x)/pi in the range [0, 0.5]
- double result = asinpi_polyeval(fputil::cast<double>(x));
- return fputil::cast<float16>(result);
- }
-
- // If |x| > 0.5, we need to use the range reduction method:
- // y = asin(x) => x = sin(y)
- // because: sin(a) = cos(pi/2 - a)
- // therefore:
- // x = cos(pi/2 - y)
- // let z = pi/2 - y,
- // x = cos(z)
- // because: cos(2a) = 1 - 2 * sin^2(a), z = 2a, a = z/2
- // therefore:
- // cos(z) = 1 - 2 * sin^2(z/2)
- // sin(z/2) = sqrt((1 - cos(z))/2)
- // sin(z/2) = sqrt((1 - x)/2)
- // let u = (1 - x)/2
- // then:
- // sin(z/2) = sqrt(u)
- // z/2 = asin(sqrt(u))
- // z = 2 * asin(sqrt(u))
- // pi/2 - y = 2 * asin(sqrt(u))
- // y = pi/2 - 2 * asin(sqrt(u))
- // y/pi = 1/2 - 2 * asin(sqrt(u))/pi
- //
- // Finally, we can write:
- // asinpi(x) = 1/2 - 2 * asinpi(sqrt(u))
- // where u = (1 - x) /2
- // = 0.5 - 0.5 * x
- // = multiply_add(-0.5, x, 0.5)
-
- double u = fputil::multiply_add(-0.5, x_abs, 0.5);
- double asinpi_sqrt_u = asinpi_polyeval(fputil::sqrt<double>(u));
- double result = fputil::multiply_add(-2.0, asinpi_sqrt_u, 0.5);
-
- return fputil::cast<float16>(signed_result(result));
-}
-
-} // namespace LIBC_NAMESPACE_DECL
diff --git a/libc/test/shared/CMakeLists.txt b/libc/test/shared/CMakeLists.txt
index e5dfac9..e93fbb9 100644
--- a/libc/test/shared/CMakeLists.txt
+++ b/libc/test/shared/CMakeLists.txt
@@ -15,6 +15,7 @@ add_fp_unittest(
libc.src.__support.math.acospif16
libc.src.__support.math.asin
libc.src.__support.math.asinf
+ libc.src.__support.math.asinf16
libc.src.__support.math.erff
libc.src.__support.math.exp
libc.src.__support.math.exp10
diff --git a/libc/test/shared/shared_math_test.cpp b/libc/test/shared/shared_math_test.cpp
index 7881d68..51d38ec 100644
--- a/libc/test/shared/shared_math_test.cpp
+++ b/libc/test/shared/shared_math_test.cpp
@@ -17,6 +17,7 @@ TEST(LlvmLibcSharedMathTest, AllFloat16) {
EXPECT_FP_EQ(0x0p+0f16, LIBC_NAMESPACE::shared::acoshf16(1.0f16));
EXPECT_FP_EQ(0x0p+0f16, LIBC_NAMESPACE::shared::acospif16(1.0f16));
+ EXPECT_FP_EQ(0x0p+0f16, LIBC_NAMESPACE::shared::asinf16(0.0f16));
EXPECT_FP_EQ(0x1p+0f16, LIBC_NAMESPACE::shared::exp10f16(0.0f16));
diff --git a/libc/test/src/math/CMakeLists.txt b/libc/test/src/math/CMakeLists.txt
index ea5816b..43cde0d 100644
--- a/libc/test/src/math/CMakeLists.txt
+++ b/libc/test/src/math/CMakeLists.txt
@@ -2283,17 +2283,6 @@ add_fp_unittest(
)
add_fp_unittest(
- asinpif16_test
- NEED_MPFR
- SUITE
- libc-math-unittests
- SRCS
- asinpif16_test.cpp
- DEPENDS
- libc.src.math.asinpif16
-)
-
-add_fp_unittest(
acosf_test
NEED_MPFR
SUITE
diff --git a/libc/test/src/math/asinpif16_test.cpp b/libc/test/src/math/asinpif16_test.cpp
deleted file mode 100644
index 3718f39..0000000
--- a/libc/test/src/math/asinpif16_test.cpp
+++ /dev/null
@@ -1,40 +0,0 @@
-//===-- Exhaustive test for asinpif16 -------------------------------------===//
-//
-// 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
-//
-//===----------------------------------------------------------------------===//
-
-#include "src/math/asinpif16.h"
-#include "test/UnitTest/FPMatcher.h"
-#include "test/UnitTest/Test.h"
-#include "utils/MPFRWrapper/MPFRUtils.h"
-
-using LlvmLibcAsinpif16Test = LIBC_NAMESPACE::testing::FPTest<float16>;
-
-namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
-
-// Range: [0, Inf]
-static constexpr uint16_t POS_START = 0x0000U;
-static constexpr uint16_t POS_STOP = 0x7c00U;
-
-// Range: [-Inf, 0]
-static constexpr uint16_t NEG_START = 0x8000U;
-static constexpr uint16_t NEG_STOP = 0xfc00U;
-
-TEST_F(LlvmLibcAsinpif16Test, PositiveRange) {
- for (uint16_t v = POS_START; v <= POS_STOP; ++v) {
- float16 x = FPBits(v).get_val();
- EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Asinpi, x,
- LIBC_NAMESPACE::asinpif16(x), 0.5);
- }
-}
-
-TEST_F(LlvmLibcAsinpif16Test, NegativeRange) {
- for (uint16_t v = NEG_START; v <= NEG_STOP; ++v) {
- float16 x = FPBits(v).get_val();
- EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Asinpi, x,
- LIBC_NAMESPACE::asinpif16(x), 0.5);
- }
-}
diff --git a/libc/test/src/math/smoke/CMakeLists.txt b/libc/test/src/math/smoke/CMakeLists.txt
index 8b54691..ec4c09c 100644
--- a/libc/test/src/math/smoke/CMakeLists.txt
+++ b/libc/test/src/math/smoke/CMakeLists.txt
@@ -3989,18 +3989,6 @@ add_fp_unittest(
)
add_fp_unittest(
- asinpif16_test
- NEED_MPFR
- SUITE
- libc-math-unittests
- SRCS
- asinpif16_test.cpp
- DEPENDS
- libc.src.math.asinpif16
- libc.src.errno.errno
-)
-
-add_fp_unittest(
acoshf_test
SUITE
libc-math-smoke-tests
diff --git a/libc/test/src/math/smoke/asinpif16_test.cpp b/libc/test/src/math/smoke/asinpif16_test.cpp
deleted file mode 100644
index 5303eed..0000000
--- a/libc/test/src/math/smoke/asinpif16_test.cpp
+++ /dev/null
@@ -1,86 +0,0 @@
-//===-- Unittests for asinpif16 -------------------------------------------===//
-//
-// 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
-//
-//===----------------------------------------------------------------------===//
-
-#include "src/__support/libc_errno.h"
-#include "src/math/asinpif16.h"
-#include "test/UnitTest/FPMatcher.h"
-
-using LlvmLibcAsinpif16Test = LIBC_NAMESPACE::testing::FPTest<float16>;
-
-TEST_F(LlvmLibcAsinpif16Test, SpecialNumbers) {
- // zero
- EXPECT_FP_EQ(zero, LIBC_NAMESPACE::asinpif16(zero));
-
- // +/-1
- EXPECT_FP_EQ(0.5f16, LIBC_NAMESPACE::asinpif16(1.0));
- EXPECT_FP_EQ(-0.5f16, LIBC_NAMESPACE::asinpif16(-1.0));
-
- // NaN inputs
- EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
- LIBC_NAMESPACE::asinpif16(FPBits::quiet_nan().get_val()));
-
- EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
- LIBC_NAMESPACE::asinpif16(FPBits::signaling_nan().get_val()));
-
- // infinity inputs -> should return NaN
- libc_errno = 0;
- EXPECT_FP_EQ(FPBits::quiet_nan().get_val(), LIBC_NAMESPACE::asinpif16(inf));
- EXPECT_MATH_ERRNO(EDOM);
-
- libc_errno = 0;
- EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
- LIBC_NAMESPACE::asinpif16(neg_inf));
- EXPECT_MATH_ERRNO(EDOM);
-}
-
-TEST_F(LlvmLibcAsinpif16Test, OutOfRange) {
- // Test values > 1
- libc_errno = 0;
- EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
- LIBC_NAMESPACE::asinpif16(1.5f16));
- EXPECT_MATH_ERRNO(EDOM);
-
- libc_errno = 0;
- EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
- LIBC_NAMESPACE::asinpif16(2.0f16));
- EXPECT_MATH_ERRNO(EDOM);
-
- // Test values < -1
- libc_errno = 0;
- EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
- LIBC_NAMESPACE::asinpif16(-1.5f16));
- EXPECT_MATH_ERRNO(EDOM);
-
- libc_errno = 0;
- EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
- LIBC_NAMESPACE::asinpif16(-2.0f16));
- EXPECT_MATH_ERRNO(EDOM);
-
- // Test maximum normal value (should be > 1 for float16)
- libc_errno = 0;
- EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
- LIBC_NAMESPACE::asinpif16(FPBits::max_normal().get_val()));
- EXPECT_MATH_ERRNO(EDOM);
-}
-
-TEST_F(LlvmLibcAsinpif16Test, SymmetryProperty) {
- // Test that asinpi(-x) = -asinpi(x)
- constexpr float16 TEST_VALS[] = {0.1f16, 0.25f16, 0.5f16, 0.75f16,
- 0.9f16, 0.99f16, 1.0f16};
-
- for (float16 x : TEST_VALS) {
- FPBits neg_x_bits(x);
- neg_x_bits.set_sign(Sign::NEG);
- float16 neg_x = neg_x_bits.get_val();
-
- float16 pos_result = LIBC_NAMESPACE::asinpif16(x);
- float16 neg_result = LIBC_NAMESPACE::asinpif16(neg_x);
-
- EXPECT_FP_EQ(pos_result, FPBits(neg_result).abs().get_val());
- }
-}
diff --git a/libc/utils/MPFRWrapper/MPCommon.cpp b/libc/utils/MPFRWrapper/MPCommon.cpp
index fb6e6e8..07339a0 100644
--- a/libc/utils/MPFRWrapper/MPCommon.cpp
+++ b/libc/utils/MPFRWrapper/MPCommon.cpp
@@ -105,12 +105,6 @@ MPFRNumber MPFRNumber::asinh() const {
return result;
}
-MPFRNumber MPFRNumber::asinpi() const {
- MPFRNumber result(*this);
- mpfr_asinpi(result.value, value, mpfr_rounding);
- return result;
-}
-
MPFRNumber MPFRNumber::atan() const {
MPFRNumber result(*this);
mpfr_atan(result.value, value, mpfr_rounding);
diff --git a/libc/utils/MPFRWrapper/MPCommon.h b/libc/utils/MPFRWrapper/MPCommon.h
index 47d6293..8bcc69c2 100644
--- a/libc/utils/MPFRWrapper/MPCommon.h
+++ b/libc/utils/MPFRWrapper/MPCommon.h
@@ -189,7 +189,6 @@ public:
MPFRNumber add(const MPFRNumber &b) const;
MPFRNumber asin() const;
MPFRNumber asinh() const;
- MPFRNumber asinpi() const;
MPFRNumber atan() const;
MPFRNumber atan2(const MPFRNumber &b);
MPFRNumber atanh() const;
diff --git a/libc/utils/MPFRWrapper/MPFRUtils.cpp b/libc/utils/MPFRWrapper/MPFRUtils.cpp
index c58aae7..8853f96 100644
--- a/libc/utils/MPFRWrapper/MPFRUtils.cpp
+++ b/libc/utils/MPFRWrapper/MPFRUtils.cpp
@@ -38,8 +38,6 @@ unary_operation(Operation op, InputType input, unsigned int precision,
return mpfrInput.asin();
case Operation::Asinh:
return mpfrInput.asinh();
- case Operation::Asinpi:
- return mpfrInput.asinpi();
case Operation::Atan:
return mpfrInput.atan();
case Operation::Atanh:
diff --git a/libc/utils/MPFRWrapper/MPFRUtils.h b/libc/utils/MPFRWrapper/MPFRUtils.h
index e8056073..45468c6 100644
--- a/libc/utils/MPFRWrapper/MPFRUtils.h
+++ b/libc/utils/MPFRWrapper/MPFRUtils.h
@@ -30,7 +30,6 @@ enum class Operation : int {
Acospi,
Asin,
Asinh,
- Asinpi,
Atan,
Atanh,
Cbrt,