[libc][math] Refactor log10f16 to Header Only. (#176523)
closes : #176510
This commit is contained in:
parent
7892f84b1f
commit
04bb0e2c65
@ -88,6 +88,7 @@
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#include "math/llogbl.h"
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#include "math/log.h"
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#include "math/log10.h"
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#include "math/log10f16.h"
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#include "math/log1p.h"
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#include "math/log2.h"
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#include "math/logbf.h"
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29
libc/shared/math/log10f16.h
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29
libc/shared/math/log10f16.h
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@ -0,0 +1,29 @@
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//===-- Shared log10f16 function --------------------------------*- 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_SHARED_MATH_LOG10F16_H
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#define LLVM_LIBC_SHARED_MATH_LOG10F16_H
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#include "include/llvm-libc-macros/float16-macros.h"
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#ifdef LIBC_TYPES_HAS_FLOAT16
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#include "shared/libc_common.h"
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#include "src/__support/math/log10f16.h"
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namespace LIBC_NAMESPACE_DECL {
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namespace shared {
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using math::log10f16;
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} // namespace shared
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} // namespace LIBC_NAMESPACE_DECL
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#endif // LIBC_TYPES_HAS_FLOAT16
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#endif // LLVM_LIBC_SHARED_MATH_LOG10F16_H
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@ -1329,6 +1329,24 @@ add_header_library(
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libc.src.__support.macros.optimization
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)
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add_header_library(
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log10f16
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HDRS
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log10f16.h
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DEPENDS
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.expxf16_utils
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libc.hdr.errno_macros
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libc.hdr.fenv_macros
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libc.src.__support.FPUtil.cast
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libc.src.__support.FPUtil.except_value_utils
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libc.src.__support.FPUtil.fenv_impl
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libc.src.__support.FPUtil.fp_bits
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libc.src.__support.FPUtil.multiply_add
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libc.src.__support.FPUtil.polyeval
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libc.src.__support.macros.optimization
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libc.src.__support.macros.properties.cpu_features
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)
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add_header_library(
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log1p
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HDRS
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185
libc/src/__support/math/log10f16.h
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185
libc/src/__support/math/log10f16.h
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@ -0,0 +1,185 @@
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//===-- Implementation header for log10f16 ----------------------*- 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___SUPPORT_MATH_LOG10F16_H
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#define LLVM_LIBC_SRC___SUPPORT_MATH_LOG10F16_H
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#include "include/llvm-libc-macros/float16-macros.h"
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#ifdef LIBC_TYPES_HAS_FLOAT16
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#include "expxf16_utils.h"
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#include "hdr/errno_macros.h"
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#include "hdr/fenv_macros.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/cast.h"
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#include "src/__support/FPUtil/except_value_utils.h"
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#include "src/__support/FPUtil/multiply_add.h"
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#include "src/__support/common.h"
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#include "src/__support/macros/config.h"
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#include "src/__support/macros/optimization.h"
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#include "src/__support/macros/properties/cpu_features.h"
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namespace LIBC_NAMESPACE_DECL {
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namespace math {
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namespace log10f16_internal {
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#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
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#ifdef LIBC_TARGET_CPU_HAS_FMA_FLOAT
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LIBC_INLINE_VAR constexpr size_t N_LOG10F16_EXCEPTS = 11;
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#else
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LIBC_INLINE_VAR constexpr size_t N_LOG10F16_EXCEPTS = 17;
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#endif
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LIBC_INLINE_VAR constexpr fputil::ExceptValues<float16, N_LOG10F16_EXCEPTS>
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LOG10F16_EXCEPTS = {{
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// (input, RZ output, RU offset, RD offset, RN offset)
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// x = 0x1.e3cp-3, log10f16(x) = -0x1.40cp-1 (RZ)
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{0x338fU, 0xb903U, 0U, 1U, 0U},
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// x = 0x1.fep-3, log10f16(x) = -0x1.35p-1 (RZ)
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{0x33f8U, 0xb8d4U, 0U, 1U, 1U},
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#ifndef LIBC_TARGET_CPU_HAS_FMA_FLOAT
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// x = 0x1.394p-1, log10f16(x) = -0x1.b4cp-3 (RZ)
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{0x38e5U, 0xb2d3U, 0U, 1U, 1U},
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#endif
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// x = 0x1.ea8p-1, log10f16(x) = -0x1.31p-6 (RZ)
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{0x3baaU, 0xa4c4U, 0U, 1U, 1U},
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// x = 0x1.ebp-1, log10f16(x) = -0x1.29cp-6 (RZ)
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{0x3bacU, 0xa4a7U, 0U, 1U, 1U},
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// x = 0x1.f3p-1, log10f16(x) = -0x1.6dcp-7 (RZ)
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{0x3bccU, 0xa1b7U, 0U, 1U, 1U},
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// x = 0x1.f38p-1, log10f16(x) = -0x1.5f8p-7 (RZ)
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#ifndef LIBC_TARGET_CPU_HAS_FMA_FLOAT
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{0x3bceU, 0xa17eU, 0U, 1U, 1U},
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// x = 0x1.fd8p-1, log10f16(x) = -0x1.168p-9 (RZ)
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{0x3bf6U, 0x985aU, 0U, 1U, 1U},
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// x = 0x1.ff8p-1, log10f16(x) = -0x1.bccp-12 (RZ)
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{0x3bfeU, 0x8ef3U, 0U, 1U, 1U},
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// x = 0x1.374p+0, log10f16(x) = 0x1.5b8p-4 (RZ)
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{0x3cddU, 0x2d6eU, 1U, 0U, 1U},
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// x = 0x1.3ecp+1, log10f16(x) = 0x1.958p-2 (RZ)
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{0x40fbU, 0x3656U, 1U, 0U, 1U},
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#endif
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// x = 0x1.4p+3, log10f16(x) = 0x1p+0 (RZ)
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{0x4900U, 0x3c00U, 0U, 0U, 0U},
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// x = 0x1.9p+6, log10f16(x) = 0x1p+1 (RZ)
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{0x5640U, 0x4000U, 0U, 0U, 0U},
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// x = 0x1.f84p+6, log10f16(x) = 0x1.0ccp+1 (RZ)
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{0x57e1U, 0x4033U, 1U, 0U, 0U},
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// x = 0x1.f4p+9, log10f16(x) = 0x1.8p+1 (RZ)
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{0x63d0U, 0x4200U, 0U, 0U, 0U},
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// x = 0x1.388p+13, log10f16(x) = 0x1p+2 (RZ)
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{0x70e2U, 0x4400U, 0U, 0U, 0U},
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// x = 0x1.674p+13, log10f16(x) = 0x1.03cp+2 (RZ)
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{0x719dU, 0x440fU, 1U, 0U, 0U},
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}};
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#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
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} // namespace log10f16_internal
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LIBC_INLINE float16 log10f16(float16 x) {
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using namespace math::expxf16_internal;
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using FPBits = fputil::FPBits<float16>;
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FPBits x_bits(x);
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uint16_t x_u = x_bits.uintval();
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// If x <= 0, or x is 1, or x is +inf, or x is NaN.
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if (LIBC_UNLIKELY(x_u == 0U || x_u == 0x3c00U || x_u >= 0x7c00U)) {
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// log10(NaN) = NaN
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if (x_bits.is_nan()) {
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if (x_bits.is_signaling_nan()) {
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fputil::raise_except_if_required(FE_INVALID);
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return FPBits::quiet_nan().get_val();
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}
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return x;
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}
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// log10(+/-0) = −inf
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if ((x_u & 0x7fffU) == 0U) {
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fputil::raise_except_if_required(FE_DIVBYZERO);
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return FPBits::inf(Sign::NEG).get_val();
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}
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if (x_u == 0x3c00U)
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return FPBits::zero().get_val();
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// When x < 0.
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if (x_u > 0x8000U) {
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fputil::set_errno_if_required(EDOM);
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fputil::raise_except_if_required(FE_INVALID);
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return FPBits::quiet_nan().get_val();
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}
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// log10(+inf) = +inf
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return FPBits::inf().get_val();
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}
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#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
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if (auto r = log10f16_internal::LOG10F16_EXCEPTS.lookup(x_u);
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LIBC_UNLIKELY(r.has_value()))
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return r.value();
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#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
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// To compute log10(x), we perform the following range reduction:
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// x = 2^m * 1.mant,
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// log10(x) = m * log10(2) + log10(1.mant).
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// To compute log10(1.mant), let f be the highest 6 bits including the hidden
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// bit, and d be the difference (1.mant - f), i.e., the remaining 5 bits of
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// the mantissa, then:
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// log10(1.mant) = log10(f) + log10(1.mant / f)
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// = log10(f) + log10(1 + d/f)
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// since d/f is sufficiently small.
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// We store log10(f) and 1/f in the lookup tables LOG10F_F and ONE_OVER_F_F
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// respectively.
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int m = -FPBits::EXP_BIAS;
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// When x is subnormal, normalize it.
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if ((x_u & FPBits::EXP_MASK) == 0U) {
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// Can't pass an integer to fputil::cast directly.
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constexpr float NORMALIZE_EXP = 1U << FPBits::FRACTION_LEN;
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x_bits = FPBits(x_bits.get_val() * fputil::cast<float16>(NORMALIZE_EXP));
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x_u = x_bits.uintval();
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m -= FPBits::FRACTION_LEN;
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}
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uint16_t mant = x_bits.get_mantissa();
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// Leading 10 - 5 = 5 bits of the mantissa.
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int f = mant >> 5;
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// Unbiased exponent.
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m += x_u >> FPBits::FRACTION_LEN;
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// Set bits to 1.mant instead of 2^m * 1.mant.
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x_bits.set_biased_exponent(FPBits::EXP_BIAS);
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float mant_f = x_bits.get_val();
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// v = 1.mant * 1/f - 1 = d/f
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float v = fputil::multiply_add(mant_f, ONE_OVER_F_F[f], -1.0f);
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// Degree-3 minimax polynomial generated by Sollya with the following
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// commands:
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// > display = hexadecimal;
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// > P = fpminimax(log10(1 + x)/x, 2, [|SG...|], [-2^-5, 2^-5]);
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// > x * P;
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float log10p1_d_over_f =
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v * fputil::polyeval(v, 0x1.bcb7bp-2f, -0x1.bce168p-3f, 0x1.28acb8p-3f);
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// log10(1.mant) = log10(f) + log10(1 + d/f)
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float log10_1_mant = LOG10F_F[f] + log10p1_d_over_f;
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return fputil::cast<float16>(
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fputil::multiply_add(static_cast<float>(m), LOG10F_2, log10_1_mant));
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}
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} // namespace math
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} // namespace LIBC_NAMESPACE_DECL
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#endif // LIBC_TYPES_HAS_FLOAT16
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#endif // LLVM_LIBC_SRC___SUPPORT_MATH_LOG10F16_H
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@ -1931,17 +1931,8 @@ add_entrypoint_object(
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HDRS
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../log10f16.h
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DEPENDS
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libc.hdr.errno_macros
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libc.hdr.fenv_macros
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libc.src.__support.FPUtil.cast
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libc.src.__support.FPUtil.except_value_utils
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libc.src.__support.FPUtil.fenv_impl
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libc.src.__support.FPUtil.fp_bits
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libc.src.__support.FPUtil.multiply_add
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libc.src.__support.FPUtil.polyeval
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libc.src.__support.macros.optimization
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libc.src.__support.macros.properties.cpu_features
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libc.src.__support.math.expxf16_utils
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libc.src.__support.math.log10f16
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libc.src.errno.errno
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)
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add_entrypoint_object(
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@ -7,163 +7,10 @@
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//===----------------------------------------------------------------------===//
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#include "src/math/log10f16.h"
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#include "hdr/errno_macros.h"
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#include "hdr/fenv_macros.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/cast.h"
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#include "src/__support/FPUtil/except_value_utils.h"
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#include "src/__support/FPUtil/multiply_add.h"
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#include "src/__support/common.h"
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#include "src/__support/macros/config.h"
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#include "src/__support/macros/optimization.h"
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#include "src/__support/macros/properties/cpu_features.h"
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#include "src/__support/math/expxf16_utils.h"
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#include "src/__support/math/log10f16.h"
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namespace LIBC_NAMESPACE_DECL {
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#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
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#ifdef LIBC_TARGET_CPU_HAS_FMA_FLOAT
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static constexpr size_t N_LOG10F16_EXCEPTS = 11;
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#else
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static constexpr size_t N_LOG10F16_EXCEPTS = 17;
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#endif
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static constexpr fputil::ExceptValues<float16, N_LOG10F16_EXCEPTS>
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LOG10F16_EXCEPTS = {{
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// (input, RZ output, RU offset, RD offset, RN offset)
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// x = 0x1.e3cp-3, log10f16(x) = -0x1.40cp-1 (RZ)
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{0x338fU, 0xb903U, 0U, 1U, 0U},
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// x = 0x1.fep-3, log10f16(x) = -0x1.35p-1 (RZ)
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{0x33f8U, 0xb8d4U, 0U, 1U, 1U},
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#ifndef LIBC_TARGET_CPU_HAS_FMA_FLOAT
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// x = 0x1.394p-1, log10f16(x) = -0x1.b4cp-3 (RZ)
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{0x38e5U, 0xb2d3U, 0U, 1U, 1U},
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#endif
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// x = 0x1.ea8p-1, log10f16(x) = -0x1.31p-6 (RZ)
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{0x3baaU, 0xa4c4U, 0U, 1U, 1U},
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// x = 0x1.ebp-1, log10f16(x) = -0x1.29cp-6 (RZ)
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{0x3bacU, 0xa4a7U, 0U, 1U, 1U},
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// x = 0x1.f3p-1, log10f16(x) = -0x1.6dcp-7 (RZ)
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{0x3bccU, 0xa1b7U, 0U, 1U, 1U},
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// x = 0x1.f38p-1, log10f16(x) = -0x1.5f8p-7 (RZ)
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#ifndef LIBC_TARGET_CPU_HAS_FMA_FLOAT
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{0x3bceU, 0xa17eU, 0U, 1U, 1U},
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// x = 0x1.fd8p-1, log10f16(x) = -0x1.168p-9 (RZ)
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{0x3bf6U, 0x985aU, 0U, 1U, 1U},
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// x = 0x1.ff8p-1, log10f16(x) = -0x1.bccp-12 (RZ)
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{0x3bfeU, 0x8ef3U, 0U, 1U, 1U},
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// x = 0x1.374p+0, log10f16(x) = 0x1.5b8p-4 (RZ)
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{0x3cddU, 0x2d6eU, 1U, 0U, 1U},
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// x = 0x1.3ecp+1, log10f16(x) = 0x1.958p-2 (RZ)
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{0x40fbU, 0x3656U, 1U, 0U, 1U},
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#endif
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// x = 0x1.4p+3, log10f16(x) = 0x1p+0 (RZ)
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{0x4900U, 0x3c00U, 0U, 0U, 0U},
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// x = 0x1.9p+6, log10f16(x) = 0x1p+1 (RZ)
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{0x5640U, 0x4000U, 0U, 0U, 0U},
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// x = 0x1.f84p+6, log10f16(x) = 0x1.0ccp+1 (RZ)
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{0x57e1U, 0x4033U, 1U, 0U, 0U},
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// x = 0x1.f4p+9, log10f16(x) = 0x1.8p+1 (RZ)
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{0x63d0U, 0x4200U, 0U, 0U, 0U},
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// x = 0x1.388p+13, log10f16(x) = 0x1p+2 (RZ)
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{0x70e2U, 0x4400U, 0U, 0U, 0U},
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// x = 0x1.674p+13, log10f16(x) = 0x1.03cp+2 (RZ)
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{0x719dU, 0x440fU, 1U, 0U, 0U},
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}};
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#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
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LLVM_LIBC_FUNCTION(float16, log10f16, (float16 x)) {
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using namespace math::expxf16_internal;
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using FPBits = fputil::FPBits<float16>;
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FPBits x_bits(x);
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uint16_t x_u = x_bits.uintval();
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// If x <= 0, or x is 1, or x is +inf, or x is NaN.
|
||||
if (LIBC_UNLIKELY(x_u == 0U || x_u == 0x3c00U || x_u >= 0x7c00U)) {
|
||||
// log10(NaN) = NaN
|
||||
if (x_bits.is_nan()) {
|
||||
if (x_bits.is_signaling_nan()) {
|
||||
fputil::raise_except_if_required(FE_INVALID);
|
||||
return FPBits::quiet_nan().get_val();
|
||||
}
|
||||
|
||||
return x;
|
||||
}
|
||||
|
||||
// log10(+/-0) = −inf
|
||||
if ((x_u & 0x7fffU) == 0U) {
|
||||
fputil::raise_except_if_required(FE_DIVBYZERO);
|
||||
return FPBits::inf(Sign::NEG).get_val();
|
||||
}
|
||||
|
||||
if (x_u == 0x3c00U)
|
||||
return FPBits::zero().get_val();
|
||||
|
||||
// When x < 0.
|
||||
if (x_u > 0x8000U) {
|
||||
fputil::set_errno_if_required(EDOM);
|
||||
fputil::raise_except_if_required(FE_INVALID);
|
||||
return FPBits::quiet_nan().get_val();
|
||||
}
|
||||
|
||||
// log10(+inf) = +inf
|
||||
return FPBits::inf().get_val();
|
||||
}
|
||||
|
||||
#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
|
||||
if (auto r = LOG10F16_EXCEPTS.lookup(x_u); LIBC_UNLIKELY(r.has_value()))
|
||||
return r.value();
|
||||
#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
|
||||
|
||||
// To compute log10(x), we perform the following range reduction:
|
||||
// x = 2^m * 1.mant,
|
||||
// log10(x) = m * log10(2) + log10(1.mant).
|
||||
// To compute log10(1.mant), let f be the highest 6 bits including the hidden
|
||||
// bit, and d be the difference (1.mant - f), i.e., the remaining 5 bits of
|
||||
// the mantissa, then:
|
||||
// log10(1.mant) = log10(f) + log10(1.mant / f)
|
||||
// = log10(f) + log10(1 + d/f)
|
||||
// since d/f is sufficiently small.
|
||||
// We store log10(f) and 1/f in the lookup tables LOG10F_F and ONE_OVER_F_F
|
||||
// respectively.
|
||||
|
||||
int m = -FPBits::EXP_BIAS;
|
||||
|
||||
// When x is subnormal, normalize it.
|
||||
if ((x_u & FPBits::EXP_MASK) == 0U) {
|
||||
// Can't pass an integer to fputil::cast directly.
|
||||
constexpr float NORMALIZE_EXP = 1U << FPBits::FRACTION_LEN;
|
||||
x_bits = FPBits(x_bits.get_val() * fputil::cast<float16>(NORMALIZE_EXP));
|
||||
x_u = x_bits.uintval();
|
||||
m -= FPBits::FRACTION_LEN;
|
||||
}
|
||||
|
||||
uint16_t mant = x_bits.get_mantissa();
|
||||
// Leading 10 - 5 = 5 bits of the mantissa.
|
||||
int f = mant >> 5;
|
||||
// Unbiased exponent.
|
||||
m += x_u >> FPBits::FRACTION_LEN;
|
||||
|
||||
// Set bits to 1.mant instead of 2^m * 1.mant.
|
||||
x_bits.set_biased_exponent(FPBits::EXP_BIAS);
|
||||
float mant_f = x_bits.get_val();
|
||||
// v = 1.mant * 1/f - 1 = d/f
|
||||
float v = fputil::multiply_add(mant_f, ONE_OVER_F_F[f], -1.0f);
|
||||
|
||||
// Degree-3 minimax polynomial generated by Sollya with the following
|
||||
// commands:
|
||||
// > display = hexadecimal;
|
||||
// > P = fpminimax(log10(1 + x)/x, 2, [|SG...|], [-2^-5, 2^-5]);
|
||||
// > x * P;
|
||||
float log10p1_d_over_f =
|
||||
v * fputil::polyeval(v, 0x1.bcb7bp-2f, -0x1.bce168p-3f, 0x1.28acb8p-3f);
|
||||
// log10(1.mant) = log10(f) + log10(1 + d/f)
|
||||
float log10_1_mant = LOG10F_F[f] + log10p1_d_over_f;
|
||||
return fputil::cast<float16>(
|
||||
fputil::multiply_add(static_cast<float>(m), LOG10F_2, log10_1_mant));
|
||||
}
|
||||
LLVM_LIBC_FUNCTION(float16, log10f16, (float16 x)) { return math::log10f16(x); }
|
||||
|
||||
} // namespace LIBC_NAMESPACE_DECL
|
||||
|
||||
@ -78,6 +78,7 @@ add_fp_unittest(
|
||||
libc.src.__support.math.llogb
|
||||
libc.src.__support.math.log
|
||||
libc.src.__support.math.log10
|
||||
libc.src.__support.math.log10f16
|
||||
libc.src.__support.math.log1p
|
||||
libc.src.__support.math.log2
|
||||
libc.src.__support.math.logbf
|
||||
|
||||
@ -62,6 +62,7 @@ TEST(LlvmLibcSharedMathTest, AllFloat16) {
|
||||
EXPECT_EQ(exponent, 5);
|
||||
|
||||
EXPECT_EQ(0, LIBC_NAMESPACE::shared::ilogbf16(1.0f16));
|
||||
EXPECT_FP_EQ(0x1p+0f16, LIBC_NAMESPACE::shared::log10f16(10.0f16));
|
||||
EXPECT_FP_EQ(0x0p+0f16, LIBC_NAMESPACE::shared::logbf16(1.0f16));
|
||||
EXPECT_EQ(0L, LIBC_NAMESPACE::shared::llogbf16(1.0f16));
|
||||
|
||||
|
||||
@ -3187,6 +3187,21 @@ libc_support_library(
|
||||
],
|
||||
)
|
||||
|
||||
libc_support_library(
|
||||
name = "__support_math_log10f16",
|
||||
hdrs = ["src/__support/math/log10f16.h"],
|
||||
deps = [
|
||||
":__support_fputil_cast",
|
||||
":__support_fputil_except_value_utils",
|
||||
":__support_fputil_fenv_impl",
|
||||
":__support_fputil_fp_bits",
|
||||
":__support_fputil_multiply_add",
|
||||
":__support_fputil_polyeval",
|
||||
":__support_macros_optimization",
|
||||
":__support_math_expxf16_utils",
|
||||
],
|
||||
)
|
||||
|
||||
libc_support_library(
|
||||
name = "__support_math_logbf",
|
||||
hdrs = ["src/__support/math/logbf.h"],
|
||||
@ -4879,7 +4894,9 @@ libc_math_function(
|
||||
|
||||
libc_math_function(
|
||||
name = "log10f16",
|
||||
additional_deps = [":__support_math_expxf16_utils"],
|
||||
additional_deps = [
|
||||
":__support_math_log10f16",
|
||||
],
|
||||
)
|
||||
|
||||
libc_math_function(
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user