forked from OSchip/llvm-project
[libc][math] Added atanf function.
Performance by core-math (core-math/glibc 2.31/current llvm-14): 28.879/20.843/20.15 Differential Revision: https://reviews.llvm.org/D132842
This commit is contained in:
parent
6c1fc7e430
commit
77e1d9beed
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@ -105,6 +105,7 @@ set(TARGET_LIBM_ENTRYPOINTS
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libc.src.fenv.feupdateenv
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# math.h entrypoints
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libc.src.math.atanf
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libc.src.math.atanhf
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libc.src.math.copysign
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libc.src.math.copysignf
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@ -149,6 +149,7 @@ set(TARGET_LIBM_ENTRYPOINTS
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libc.src.fenv.feupdateenv
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# math.h entrypoints
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libc.src.math.atanf
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libc.src.math.atanhf
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libc.src.math.copysign
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libc.src.math.copysignf
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@ -149,7 +149,8 @@ set(TARGET_LIBM_ENTRYPOINTS
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libc.src.fenv.feupdateenv
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# math.h entrypoints
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libc.src.math.atanhf
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libc.src.math.atanf
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libc.src.math.atanhf
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libc.src.math.copysign
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libc.src.math.copysignf
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libc.src.math.copysignl
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@ -106,6 +106,7 @@ set(TARGET_LIBM_ENTRYPOINTS
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libc.src.fenv.feupdateenv
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# math.h entrypoints
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libc.src.math.atanf
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libc.src.math.atanhf
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libc.src.math.copysign
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libc.src.math.copysignf
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@ -480,7 +480,9 @@ def StdC : StandardSpec<"stdc"> {
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FunctionSpec<"sinhf", RetValSpec<FloatType>, [ArgSpec<FloatType>]>,
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FunctionSpec<"tanhf", RetValSpec<FloatType>, [ArgSpec<FloatType>]>,
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FunctionSpec<"atanhf", RetValSpec<FloatType>, [ArgSpec<FloatType>]>,
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FunctionSpec<"atanf", RetValSpec<FloatType>, [ArgSpec<FloatType>]>,
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FunctionSpec<"atanhf", RetValSpec<FloatType>, [ArgSpec<FloatType>]>,
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]
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>;
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@ -196,6 +196,15 @@ template <typename T> struct FPBits {
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}
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return result;
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}
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inline static FPBits<T> create_value(bool sign, UIntType unbiased_exp,
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UIntType mantissa) {
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FPBits<T> result;
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result.set_sign(sign);
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result.set_unbiased_exponent(unbiased_exp);
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result.set_mantissa(mantissa);
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return result;
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}
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};
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} // namespace fputil
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@ -184,6 +184,15 @@ template <> struct FPBits<long double> {
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bits.set_mantissa(v);
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return bits;
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}
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inline static FPBits<long double>
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create_value(bool sign, UIntType unbiased_exp, UIntType mantissa) {
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FPBits<long double> result;
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result.set_sign(sign);
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result.set_unbiased_exponent(unbiased_exp);
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result.set_mantissa(mantissa);
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return result;
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}
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};
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static_assert(
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@ -66,6 +66,7 @@ add_entrypoint_object(
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-O3
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)
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add_math_entrypoint_object(atanf)
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add_math_entrypoint_object(atanhf)
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add_math_entrypoint_object(ceil)
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@ -0,0 +1,18 @@
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//===-- Implementation header for atanf -------------------------*- C++ -*-===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#ifndef LLVM_LIBC_SRC_MATH_ATANF_H
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#define LLVM_LIBC_SRC_MATH_ATANF_H
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namespace __llvm_libc {
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float atanf(float x);
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} // namespace __llvm_libc
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#endif // LLVM_LIBC_SRC_MATH_ATANF_H
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@ -1242,3 +1242,28 @@ add_entrypoint_object(
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-O3
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)
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add_object_library(
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inv_trigf_utils
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HDRS
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inv_trigf_utils.h
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SRCS
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inv_trigf_utils.cpp
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)
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add_entrypoint_object(
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atanf
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SRCS
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atanf.cpp
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HDRS
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../atanf.h
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DEPENDS
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.inv_trigf_utils
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libc.src.__support.FPUtil.fputil
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libc.src.__support.FPUtil.multiply_add
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libc.src.__support.FPUtil.nearest_integer
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libc.src.__support.FPUtil.polyeval
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libc.include.math
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COMPILE_OPTIONS
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-O3
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)
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@ -0,0 +1,57 @@
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//===-- Single-precision atan function ------------------------------------===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#include "src/math/atanf.h"
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#include "math_utils.h"
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#include "src/__support/FPUtil/FPBits.h"
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#include "src/math/generic/inv_trigf_utils.h"
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namespace __llvm_libc {
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LLVM_LIBC_FUNCTION(float, atanf, (float x)) {
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using FPBits = typename fputil::FPBits<float>;
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FPBits xbits(x);
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bool sign = xbits.get_sign();
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xbits.set_sign(false);
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if (unlikely(xbits.is_inf_or_nan())) {
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if (xbits.is_inf())
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return opt_barrier(sign ? -M_MATH_PI_2 : M_MATH_PI_2);
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else
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return x + 1.0f;
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}
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// |x| == 0.06905200332403183
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if (unlikely(xbits.uintval() == 0x3d8d6b23U)) {
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if (fputil::get_round() == FE_TONEAREST) {
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// 0.06894256919622421
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FPBits br(0x3d8d31c3U);
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br.set_sign(sign);
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return br.get_val();
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}
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}
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// |x| == 1.8670953512191772
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if (unlikely(xbits.uintval() == 0x3feefcfbU)) {
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int rounding_mode = fputil::get_round();
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if (sign) {
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if (rounding_mode == FE_DOWNWARD) {
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// -1.0790828466415405
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return FPBits(0xbf8a1f63U).get_val();
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}
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} else {
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if (rounding_mode == FE_UPWARD) {
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// 1.0790828466415405
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return FPBits(0x3f8a1f63U).get_val();
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}
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}
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}
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return atan_eval(x);
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}
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} // namespace __llvm_libc
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@ -9,7 +9,6 @@
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#ifndef LLVM_LIBC_SRC_MATH_GENERIC_EXPLOGXF_H
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#define LLVM_LIBC_SRC_MATH_GENERIC_EXPLOGXF_H
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#include "common_constants.h" // Lookup tables EXP_M
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#include "math_utils.h"
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#include "src/__support/FPUtil/FEnvImpl.h"
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#include "src/__support/FPUtil/FPBits.h"
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@ -0,0 +1,28 @@
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//===-- Single-precision general exp/log functions ------------------------===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#include "inv_trigf_utils.h"
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namespace __llvm_libc {
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// N[Table[ArcTan[x], {x, 1/16, 16/16, 1/16}], 40]
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alignas(64) const double ATAN_T[ATAN_T_SIZE] = {
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0x1.ff55bb72cfdeap-5, 0x1.fd5ba9aac2f6ep-4, 0x1.7b97b4bce5b02p-3,
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0x1.f5b75f92c80ddp-3, 0x1.362773707ebccp-2, 0x1.6f61941e4def1p-2,
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0x1.a64eec3cc23fdp-2, 0x1.dac670561bb4fp-2, 0x1.0657e94db30d0p-1,
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0x1.1e00babdefeb4p-1, 0x1.345f01cce37bbp-1, 0x1.4978fa3269ee1p-1,
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0x1.5d58987169b18p-1, 0x1.700a7c5784634p-1, 0x1.819d0b7158a4dp-1,
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0x1.921fb54442d18p-1};
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// for(int i = 0; i < 5; i++)
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// printf("%.13a,\n", (-2 * (i % 2) + 1) * 1.0 / (2 * i + 1));
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alignas(64) const double ATAN_K[5] = {
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0x1.0000000000000p+0, -0x1.5555555555555p-2, 0x1.999999999999ap-3,
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-0x1.2492492492492p-3, 0x1.c71c71c71c71cp-4};
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} // namespace __llvm_libc
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@ -0,0 +1,94 @@
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//===-- Single-precision general inverse trigonometric functions ----------===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#ifndef LLVM_LIBC_SRC_MATH_GENERIC_INV_TRIGF_UTILS_H
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#define LLVM_LIBC_SRC_MATH_GENERIC_INV_TRIGF_UTILS_H
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#include "math_utils.h"
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#include "src/__support/FPUtil/FEnvImpl.h"
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#include "src/__support/FPUtil/FPBits.h"
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#include "src/__support/FPUtil/PolyEval.h"
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#include "src/__support/FPUtil/nearest_integer.h"
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#include "src/__support/common.h"
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#include <src/__support/FPUtil/NearestIntegerOperations.h>
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#include <errno.h>
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namespace __llvm_libc {
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// PI / 2
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constexpr double M_MATH_PI_2 = 0x1.921fb54442d18p+0;
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// atan table size
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constexpr int ATAN_T_BITS = 4;
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constexpr int ATAN_T_SIZE = 1 << ATAN_T_BITS;
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// N[Table[ArcTan[x], {x, 1/8, 8/8, 1/8}], 40]
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extern const double ATAN_T[ATAN_T_SIZE];
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extern const double ATAN_K[5];
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// The main idea of the function is to use formula
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// atan(u) + atan(v) = atan((u+v)/(1-uv))
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// x should be positive, normal finite value
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inline static double atan_eval(double x) {
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using FPB = fputil::FPBits<double>;
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// Added some small value to umin and umax mantissa to avoid possible rounding
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// errors.
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FPB::UIntType umin =
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FPB::create_value(false, FPB::EXPONENT_BIAS - ATAN_T_BITS - 1,
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0x100000000000UL)
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.uintval();
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FPB::UIntType umax =
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FPB::create_value(false, FPB::EXPONENT_BIAS + ATAN_T_BITS,
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0xF000000000000UL)
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.uintval();
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FPB bs(x);
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bool sign = bs.get_sign();
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auto x_abs = bs.uintval() & FPB::FloatProp::EXP_MANT_MASK;
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if (x_abs <= umin) {
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double pe = __llvm_libc::fputil::polyeval(x * x, 0.0, ATAN_K[1], ATAN_K[2],
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ATAN_K[3], ATAN_K[4]);
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return fputil::multiply_add(pe, x, x);
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}
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if (x_abs >= umax) {
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double one_over_x_m = -1.0 / x;
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double one_over_x2 = one_over_x_m * one_over_x_m;
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double pe = __llvm_libc::fputil::polyeval(one_over_x2, ATAN_K[0], ATAN_K[1],
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ATAN_K[2], ATAN_K[3]);
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return fputil::multiply_add(pe, one_over_x_m, sign ? (-M_MATH_PI_2) : (M_MATH_PI_2));
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}
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double pos_x = FPB(x_abs).get_val();
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bool one_over_x = pos_x > 1.0;
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if (one_over_x) {
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pos_x = 1.0 / pos_x;
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}
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double near_x = fputil::nearest_integer(pos_x * ATAN_T_SIZE);
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int val = static_cast<int>(near_x);
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near_x *= 1.0 / ATAN_T_SIZE;
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double v = (pos_x - near_x) / fputil::multiply_add(near_x, pos_x, 1.0);
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double v2 = v * v;
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double pe = __llvm_libc::fputil::polyeval(v2, ATAN_K[0], ATAN_K[1], ATAN_K[2],
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ATAN_K[3], ATAN_K[4]);
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double result;
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if (one_over_x)
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result = M_PI_2 - fputil::multiply_add(pe, v, ATAN_T[val - 1]);
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else
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result = fputil::multiply_add(pe, v, ATAN_T[val - 1]);
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return sign ? -result : result;
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}
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} // namespace __llvm_libc
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#endif // LLVM_LIBC_SRC_MATH_GENERIC_INV_TRIGF_UTILS_H
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@ -1388,6 +1388,32 @@ add_fp_unittest(
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libc.src.__support.FPUtil.fputil
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)
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add_fp_unittest(
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atanf_test
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NEED_MPFR
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SUITE
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libc_math_unittests
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SRCS
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atanf_test.cpp
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DEPENDS
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libc.src.math.atanf
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libc.src.__support.FPUtil.fputil
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)
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add_fp_unittest(
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inv_trigf_utils_test
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NEED_MPFR
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SUITE
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libc_math_unittests
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HDRS
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in_float_range_test_helper.h
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SRCS
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inv_trigf_utils_test.cpp
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DEPENDS
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libc.src.math.generic.inv_trigf_utils
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libc.src.__support.FPUtil.fputil
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)
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add_subdirectory(generic)
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add_subdirectory(exhaustive)
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add_subdirectory(differential_testing)
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@ -0,0 +1,65 @@
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//===-- Unittests for atanf -----------------------------------------------===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#include "src/__support/FPUtil/FPBits.h"
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#include "src/math/atanf.h"
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#include "utils/MPFRWrapper/MPFRUtils.h"
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#include "utils/UnitTest/FPMatcher.h"
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#include "utils/UnitTest/Test.h"
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#include <math.h>
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#include <errno.h>
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#include <stdint.h>
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#include <initializer_list>
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using FPBits = __llvm_libc::fputil::FPBits<float>;
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namespace mpfr = __llvm_libc::testing::mpfr;
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DECLARE_SPECIAL_CONSTANTS(float)
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TEST(LlvmLibcAtanfTest, SpecialNumbers) {
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errno = 0;
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__llvm_libc::fputil::clear_except(FE_ALL_EXCEPT);
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EXPECT_FP_EQ(aNaN, __llvm_libc::atanf(aNaN));
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EXPECT_FP_EXCEPTION(FE_INVALID);
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EXPECT_MATH_ERRNO(0);
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__llvm_libc::fputil::clear_except(FE_ALL_EXCEPT);
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EXPECT_FP_EQ(0.0f, __llvm_libc::atanf(0.0f));
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EXPECT_FP_EXCEPTION(0);
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EXPECT_MATH_ERRNO(0);
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__llvm_libc::fputil::clear_except(FE_ALL_EXCEPT);
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EXPECT_FP_EQ(-0.0f, __llvm_libc::atanf(-0.0f));
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EXPECT_FP_EXCEPTION(0);
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EXPECT_MATH_ERRNO(0);
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}
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TEST(LlvmLibcAtanfTest, InFloatRange) {
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constexpr uint32_t COUNT = 1000000;
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const uint32_t STEP = FPBits(inf).uintval() / COUNT;
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for (uint32_t i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
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float x = float(FPBits(v));
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EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan, x,
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__llvm_libc::atanf(x), 0.5);
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EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan, -x,
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__llvm_libc::atanf(-x), 0.5);
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}
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}
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// For small values, tanh(x) is x.
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TEST(LlvmLibcAtanfTest, SpecialValues) {
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for (uint32_t v : {0x3d8d6b23U, 0x3feefcfbU, 0xbd8d6b23U, 0xbfeefcfbU,
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0x7F800000U, 0xFF800000U}) {
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float x = float(FPBits(v));
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EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan, x,
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__llvm_libc::atanf(x), 0.5);
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}
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}
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@ -307,3 +307,21 @@ add_fp_unittest(
|
|||
LINK_LIBRARIES
|
||||
-lpthread
|
||||
)
|
||||
|
||||
add_fp_unittest(
|
||||
atanf_test
|
||||
NO_RUN_POSTBUILD
|
||||
NEED_MPFR
|
||||
SUITE
|
||||
libc_math_exhaustive_tests
|
||||
SRCS
|
||||
atanf_test.cpp
|
||||
DEPENDS
|
||||
.exhaustive_test
|
||||
libc.include.math
|
||||
libc.src.math.atanf
|
||||
libc.src.__support.FPUtil.fputil
|
||||
LINK_LIBRARIES
|
||||
-lpthread
|
||||
)
|
||||
|
||||
|
|
|
@ -0,0 +1,76 @@
|
|||
//===-- Exhaustive test for atanf -----------------------------------------===//
|
||||
//
|
||||
// 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 "exhaustive_test.h"
|
||||
#include "src/__support/FPUtil/FPBits.h"
|
||||
#include "src/math/atanf.h"
|
||||
#include "utils/MPFRWrapper/MPFRUtils.h"
|
||||
|
||||
#include <thread>
|
||||
|
||||
using FPBits = __llvm_libc::fputil::FPBits<float>;
|
||||
|
||||
namespace mpfr = __llvm_libc::testing::mpfr;
|
||||
|
||||
struct LlvmLibcAtanfExhaustiveTest : public LlvmLibcExhaustiveTest<uint32_t> {
|
||||
bool check(uint32_t start, uint32_t stop,
|
||||
mpfr::RoundingMode rounding) override {
|
||||
mpfr::ForceRoundingMode r(rounding);
|
||||
uint32_t bits = start;
|
||||
bool result = true;
|
||||
do {
|
||||
FPBits xbits(bits);
|
||||
float x = float(xbits);
|
||||
result &= EXPECT_MPFR_MATCH(mpfr::Operation::Atan, x,
|
||||
__llvm_libc::atanf(x), 0.5, rounding);
|
||||
} while (bits++ < stop);
|
||||
return result;
|
||||
}
|
||||
};
|
||||
|
||||
static const int NUM_THREADS = std::thread::hardware_concurrency();
|
||||
|
||||
// Range: [0, 1.0];
|
||||
static const uint32_t POS_START = 0x0000'0000U;
|
||||
static const uint32_t POS_STOP = FPBits::inf().uintval();
|
||||
|
||||
TEST_F(LlvmLibcAtanfExhaustiveTest, PostiveRangeRoundNearestTieToEven) {
|
||||
test_full_range(POS_START, POS_STOP, mpfr::RoundingMode::Nearest);
|
||||
}
|
||||
|
||||
TEST_F(LlvmLibcAtanfExhaustiveTest, PostiveRangeRoundUp) {
|
||||
test_full_range(POS_START, POS_STOP, mpfr::RoundingMode::Upward);
|
||||
}
|
||||
|
||||
TEST_F(LlvmLibcAtanfExhaustiveTest, PostiveRangeRoundDown) {
|
||||
test_full_range(POS_START, POS_STOP, mpfr::RoundingMode::Downward);
|
||||
}
|
||||
|
||||
TEST_F(LlvmLibcAtanfExhaustiveTest, PostiveRangeRoundTowardZero) {
|
||||
test_full_range(POS_START, POS_STOP, mpfr::RoundingMode::TowardZero);
|
||||
}
|
||||
|
||||
// Range: [-1.0, 0];
|
||||
static const uint32_t NEG_START = 0x8000'0000U;
|
||||
static const uint32_t NEG_STOP = FPBits::neg_inf().uintval();
|
||||
|
||||
TEST_F(LlvmLibcAtanfExhaustiveTest, NegativeRangeRoundNearestTieToEven) {
|
||||
test_full_range(NEG_START, NEG_STOP, mpfr::RoundingMode::Nearest);
|
||||
}
|
||||
|
||||
TEST_F(LlvmLibcAtanfExhaustiveTest, NegativeRangeRoundUp) {
|
||||
test_full_range(NEG_START, NEG_STOP, mpfr::RoundingMode::Upward);
|
||||
}
|
||||
|
||||
TEST_F(LlvmLibcAtanfExhaustiveTest, NegativeRangeRoundDown) {
|
||||
test_full_range(NEG_START, NEG_STOP, mpfr::RoundingMode::Downward);
|
||||
}
|
||||
|
||||
TEST_F(LlvmLibcAtanfExhaustiveTest, NegativeRangeRoundTowardZero) {
|
||||
test_full_range(NEG_START, NEG_STOP, mpfr::RoundingMode::TowardZero);
|
||||
}
|
|
@ -1,4 +1,4 @@
|
|||
//===-- Unittests for explogxf --------------------------------------------===//
|
||||
//===-- Unittests for supfuncf --------------------------------------------===//
|
||||
//
|
||||
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
|
||||
// See https://llvm.org/LICENSE.txt for license information.
|
||||
|
|
|
@ -0,0 +1,32 @@
|
|||
//===-- Unittests for supfuncf --------------------------------------------===//
|
||||
//
|
||||
// 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 "in_float_range_test_helper.h"
|
||||
#include "src/__support/FPUtil/FPBits.h"
|
||||
#include "src/math/generic/inv_trigf_utils.h"
|
||||
#include "utils/MPFRWrapper/MPFRUtils.h"
|
||||
#include "utils/UnitTest/FPMatcher.h"
|
||||
#include "utils/UnitTest/Test.h"
|
||||
#include <math.h>
|
||||
|
||||
namespace mpfr = __llvm_libc::testing::mpfr;
|
||||
|
||||
DECLARE_SPECIAL_CONSTANTS(float)
|
||||
|
||||
constexpr int def_count = 100003;
|
||||
constexpr float def_prec = 0.500001f;
|
||||
|
||||
TEST(LlvmLibcAtanfPosTest, InFloatRange) {
|
||||
CHECK_DATA(0.0f, inf, mpfr::Operation::Atan, __llvm_libc::atan_eval, isfinite,
|
||||
def_count, def_prec);
|
||||
}
|
||||
|
||||
TEST(LlvmLibcAtanfNegTest, InFloatRange) {
|
||||
CHECK_DATA(-0.0f, neg_inf, mpfr::Operation::Atan, __llvm_libc::atan_eval,
|
||||
isfinite, def_count, def_prec);
|
||||
}
|
|
@ -182,6 +182,12 @@ public:
|
|||
return result;
|
||||
}
|
||||
|
||||
MPFRNumber atan() const {
|
||||
MPFRNumber result(*this);
|
||||
mpfr_atan(result.value, value, mpfr_rounding);
|
||||
return result;
|
||||
}
|
||||
|
||||
MPFRNumber atanh() const {
|
||||
MPFRNumber result(*this);
|
||||
mpfr_atanh(result.value, value, mpfr_rounding);
|
||||
|
@ -506,6 +512,8 @@ unary_operation(Operation op, InputType input, unsigned int precision,
|
|||
switch (op) {
|
||||
case Operation::Abs:
|
||||
return mpfrInput.abs();
|
||||
case Operation::Atan:
|
||||
return mpfrInput.atan();
|
||||
case Operation::Atanh:
|
||||
return mpfrInput.atanh();
|
||||
case Operation::Ceil:
|
||||
|
|
|
@ -25,6 +25,7 @@ enum class Operation : int {
|
|||
// and output floating point numbers are of the same kind.
|
||||
BeginUnaryOperationsSingleOutput,
|
||||
Abs,
|
||||
Atan,
|
||||
Atanh,
|
||||
Ceil,
|
||||
Cos,
|
||||
|
|
Loading…
Reference in New Issue