[libc-commits] [libc] [llvm] [libc][math] Refractor logf to Header only (PR #176834)
Anikesh Parashar via libc-commits
libc-commits at lists.llvm.org
Wed Jan 21 03:59:48 PST 2026
https://github.com/an1k3sh updated https://github.com/llvm/llvm-project/pull/176834
>From d2492c1cf657e151cdfef804adb6ea0cc4a99e92 Mon Sep 17 00:00:00 2001
From: Anikesh Parashar <anikeshparashar at gmail.com>
Date: Tue, 20 Jan 2026 04:20:38 +0530
Subject: [PATCH 1/5] Refractor logf to header only
---
libc/shared/math.h | 1 +
libc/shared/math/logf.h | 23 +++
libc/src/__support/math/CMakeLists.txt | 17 ++
libc/src/__support/math/logf.h | 193 ++++++++++++++++++
libc/src/math/generic/CMakeLists.txt | 1 +
libc/src/math/generic/logf.cpp | 11 +-
libc/test/shared/CMakeLists.txt | 1 +
libc/test/shared/shared_math_test.cpp | 1 +
.../llvm-project-overlay/libc/BUILD.bazel | 17 ++
9 files changed, 255 insertions(+), 10 deletions(-)
create mode 100644 libc/shared/math/logf.h
create mode 100644 libc/src/__support/math/logf.h
diff --git a/libc/shared/math.h b/libc/shared/math.h
index d58238703701d..6cbacc059b6ee 100644
--- a/libc/shared/math.h
+++ b/libc/shared/math.h
@@ -76,6 +76,7 @@
#include "math/logbf.h"
#include "math/logbf128.h"
#include "math/logbf16.h"
+#include "math/logf.h"
#include "math/rsqrtf.h"
#include "math/rsqrtf16.h"
#include "math/sin.h"
diff --git a/libc/shared/math/logf.h b/libc/shared/math/logf.h
new file mode 100644
index 0000000000000..a36ecfd3d4a39
--- /dev/null
+++ b/libc/shared/math/logf.h
@@ -0,0 +1,23 @@
+//===-- Shared logf 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_LOGF_H
+#define LLVM_LIBC_SHARED_MATH_LOGF_H
+
+#include "shared/libc_common.h"
+#include "src/__support/math/logf.h"
+
+namespace LIBC_NAMESPACE_DECL {
+
+namespace shared {
+using math::logf;
+} // namespace shared
+
+} // namespace LIBC_NAMESPACE_DECL
+
+#endif // LLVM_LIBC_SHARED_MATH_LOGF_H
\ No newline at end of file
diff --git a/libc/src/__support/math/CMakeLists.txt b/libc/src/__support/math/CMakeLists.txt
index bf1c4463b8066..5f234f2263532 100644
--- a/libc/src/__support/math/CMakeLists.txt
+++ b/libc/src/__support/math/CMakeLists.txt
@@ -1148,6 +1148,23 @@ add_header_library(
libc.src.__support.FPUtil.manipulation_functions
)
+add_header_library(
+ logf
+ HDRS
+ logf.h
+ DEPENDS
+ .common_constants
+ libc.src.__support.FPUtil.fenv_impl
+ libc.src.__support.FPUtil.fp_bits
+ libc.src.__support.FPUtil.polyeval
+ libc.src.__support.FPUtil.except_value_utils
+ libc.src.__support.FPUtil.multiply_add
+ libc.src.__support.common
+ libc.src.__support.macros.config
+ libc.src.__support.macros.optimization
+ libc.src.__support.macros.properties.cpu_features
+)
+
add_header_library(
log_range_reduction
HDRS
diff --git a/libc/src/__support/math/logf.h b/libc/src/__support/math/logf.h
new file mode 100644
index 0000000000000..a6a1452ef87ab
--- /dev/null
+++ b/libc/src/__support/math/logf.h
@@ -0,0 +1,193 @@
+//===-- Single-precision log(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
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC___SUPPORT_MATH_LOGF_H
+#define LLVM_LIBC_SRC___SUPPORT_MATH_LOGF_H
+
+#include "src/math/logf.h"
+#include "src/__support/FPUtil/FEnvImpl.h"
+#include "src/__support/FPUtil/FPBits.h"
+#include "src/__support/FPUtil/PolyEval.h"
+#include "src/__support/FPUtil/except_value_utils.h"
+#include "src/__support/FPUtil/multiply_add.h"
+#include "src/__support/common.h"
+#include "src/__support/macros/config.h"
+#include "src/__support/macros/optimization.h" // LIBC_UNLIKELY
+#include "src/__support/macros/properties/cpu_features.h"
+#include "src/__support/math/common_constants.h" // Lookup table for (1/f) and log(f)
+
+// This is an algorithm for log(x) in single precision which is correctly
+// rounded for all rounding modes, based on the implementation of log(x) from
+// the RLIBM project at:
+// https://people.cs.rutgers.edu/~sn349/rlibm
+
+// Step 1 - Range reduction:
+// For x = 2^m * 1.mant, log(x) = m * log(2) + log(1.m)
+// If x is denormal, we normalize it by multiplying x by 2^23 and subtracting
+// m by 23.
+
+// Step 2 - Another range reduction:
+// To compute log(1.mant), let f be the highest 8 bits including the hidden
+// bit, and d be the difference (1.mant - f), i.e. the remaining 16 bits of the
+// mantissa. Then we have the following approximation formula:
+// log(1.mant) = log(f) + log(1.mant / f)
+// = log(f) + log(1 + d/f)
+// ~ log(f) + P(d/f)
+// since d/f is sufficiently small.
+// log(f) and 1/f are then stored in two 2^7 = 128 entries look-up tables.
+
+// Step 3 - Polynomial approximation:
+// To compute P(d/f), we use a single degree-5 polynomial in double precision
+// which provides correct rounding for all but few exception values.
+// For more detail about how this polynomial is obtained, please refer to the
+// paper:
+// Lim, J. and Nagarakatte, S., "One Polynomial Approximation to Produce
+// Correctly Rounded Results of an Elementary Function for Multiple
+// Representations and Rounding Modes", Proceedings of the 49th ACM SIGPLAN
+// Symposium on Principles of Programming Languages (POPL-2022), Philadelphia,
+// USA, January 16-22, 2022.
+// https://people.cs.rutgers.edu/~sn349/papers/rlibmall-popl-2022.pdf
+
+namespace LIBC_NAMESPACE_DECL {
+
+namespace math {
+
+static constexpr float logf(float x) {
+ using namespace common_constants_internal;
+ constexpr double LOG_2 = 0x1.62e42fefa39efp-1;
+ using FPBits = typename fputil::FPBits<float>;
+
+ FPBits xbits(x);
+ uint32_t x_u = xbits.uintval();
+
+ int m = -FPBits::EXP_BIAS;
+
+ using fputil::round_result_slightly_down;
+ using fputil::round_result_slightly_up;
+
+ // Small inputs
+ if (x_u < 0x4c5d65a5U) {
+#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
+ // Hard-to-round cases.
+ switch (x_u) {
+ case 0x3f7f4d6fU: // x = 0x1.fe9adep-1f
+ return round_result_slightly_up(-0x1.659ec8p-9f);
+ case 0x41178febU: // x = 0x1.2f1fd6p+3f
+ return round_result_slightly_up(0x1.1fcbcep+1f);
+#ifdef LIBC_TARGET_CPU_HAS_FMA
+ case 0x3f800000U: // x = 1.0f
+ return 0.0f;
+#else
+ case 0x1e88452dU: // x = 0x1.108a5ap-66f
+ return round_result_slightly_up(-0x1.6d7b18p+5f);
+#endif // LIBC_TARGET_CPU_HAS_FMA
+ }
+#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
+ // Subnormal inputs.
+ if (LIBC_UNLIKELY(x_u < FPBits::min_normal().uintval())) {
+ if (x == 0.0f) {
+ // Return -inf and raise FE_DIVBYZERO
+ fputil::set_errno_if_required(ERANGE);
+ fputil::raise_except_if_required(FE_DIVBYZERO);
+ return FPBits::inf(Sign::NEG).get_val();
+ }
+ // Normalize denormal inputs.
+ xbits = FPBits(xbits.get_val() * 0x1.0p23f);
+ m -= 23;
+ x_u = xbits.uintval();
+ }
+ } else {
+#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
+ // Hard-to-round cases.
+ switch (x_u) {
+ case 0x4c5d65a5U: // x = 0x1.bacb4ap+25f
+ return round_result_slightly_down(0x1.1e0696p+4f);
+ case 0x65d890d3U: // x = 0x1.b121a6p+76f
+ return round_result_slightly_down(0x1.a9a3f2p+5f);
+ case 0x6f31a8ecU: // x = 0x1.6351d8p+95f
+ return round_result_slightly_down(0x1.08b512p+6f);
+ case 0x7a17f30aU: // x = 0x1.2fe614p+117f
+ return round_result_slightly_up(0x1.451436p+6f);
+#ifndef LIBC_TARGET_CPU_HAS_FMA_DOUBLE
+ case 0x500ffb03U: // x = 0x1.1ff606p+33f
+ return round_result_slightly_up(0x1.6fdd34p+4f);
+ case 0x5cd69e88U: // x = 0x1.ad3d1p+58f
+ return round_result_slightly_up(0x1.45c146p+5f);
+ case 0x5ee8984eU: // x = 0x1.d1309cp+62f;
+ return round_result_slightly_up(0x1.5c9442p+5f);
+#endif // LIBC_TARGET_CPU_HAS_FMA_DOUBLE
+ }
+#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
+ // Exceptional inputs.
+ if (LIBC_UNLIKELY(x_u > FPBits::max_normal().uintval())) {
+ if (x_u == 0x8000'0000U) {
+ // Return -inf and raise FE_DIVBYZERO
+ fputil::set_errno_if_required(ERANGE);
+ fputil::raise_except_if_required(FE_DIVBYZERO);
+ return FPBits::inf(Sign::NEG).get_val();
+ }
+ if (xbits.is_neg() && !xbits.is_nan()) {
+ // Return NaN and raise FE_INVALID
+ fputil::set_errno_if_required(EDOM);
+ fputil::raise_except_if_required(FE_INVALID);
+ return FPBits::quiet_nan().get_val();
+ }
+ // x is +inf or nan
+ if (xbits.is_signaling_nan()) {
+ fputil::raise_except_if_required(FE_INVALID);
+ return FPBits::quiet_nan().get_val();
+ }
+
+ return x;
+ }
+ }
+
+#ifndef LIBC_TARGET_CPU_HAS_FMA
+ // Returning the correct +0 when x = 1.0 for non-FMA targets with FE_DOWNWARD
+ // rounding mode.
+ if (LIBC_UNLIKELY((x_u & 0x007f'ffffU) == 0))
+ return static_cast<float>(
+ static_cast<double>(m + xbits.get_biased_exponent()) * LOG_2);
+#endif // LIBC_TARGET_CPU_HAS_FMA
+
+ uint32_t mant = xbits.get_mantissa();
+ // Extract 7 leading fractional bits of the mantissa
+ int index = mant >> 16;
+ // Add unbiased exponent. Add an extra 1 if the 7 leading fractional bits are
+ // all 1's.
+ m += static_cast<int>((x_u + (1 << 16)) >> 23);
+
+ // Set bits to 1.m
+ xbits.set_biased_exponent(0x7F);
+
+ float u = xbits.get_val();
+ double v = 0.0;
+#ifdef LIBC_TARGET_CPU_HAS_FMA_FLOAT
+ v = static_cast<double>(fputil::multiply_add(u, R[index], -1.0f)); // Exact.
+#else
+ v = fputil::multiply_add(static_cast<double>(u), RD[index], -1.0); // Exact
+#endif // LIBC_TARGET_CPU_HAS_FMA_FLOAT
+
+ // Degree-5 polynomial approximation of log generated by Sollya with:
+ // > P = fpminimax(log(1 + x)/x, 4, [|1, D...|], [-2^-8, 2^-7]);
+ constexpr double COEFFS[4] = {-0x1.000000000fe63p-1, 0x1.555556e963c16p-2,
+ -0x1.000028dedf986p-2, 0x1.966681bfda7f7p-3};
+ double v2 = v * v; // Exact
+ double p2 = fputil::multiply_add(v, COEFFS[3], COEFFS[2]);
+ double p1 = fputil::multiply_add(v, COEFFS[1], COEFFS[0]);
+ double p0 = LOG_R[index] + v;
+ double r = fputil::multiply_add(static_cast<double>(m), LOG_2,
+ fputil::polyeval(v2, p0, p1, p2));
+ return static_cast<float>(r);
+}
+
+} // namespace math
+
+} // namespace LIBC_NAMESPACE_DECL
+
+#endif // LLVM_LIBC_SRC___SUPPORT_MATH_LOGF_H
\ No newline at end of file
diff --git a/libc/src/math/generic/CMakeLists.txt b/libc/src/math/generic/CMakeLists.txt
index b578d1805f2a8..96d2e22f98fa3 100644
--- a/libc/src/math/generic/CMakeLists.txt
+++ b/libc/src/math/generic/CMakeLists.txt
@@ -2120,6 +2120,7 @@ add_entrypoint_object(
libc.src.__support.macros.optimization
libc.src.__support.macros.properties.cpu_features
libc.src.__support.math.common_constants
+ libc.src.__support.math.logf
)
add_entrypoint_object(
diff --git a/libc/src/math/generic/logf.cpp b/libc/src/math/generic/logf.cpp
index 4d2947dc14db0..80b757ddf3658 100644
--- a/libc/src/math/generic/logf.cpp
+++ b/libc/src/math/generic/logf.cpp
@@ -7,16 +7,7 @@
//===----------------------------------------------------------------------===//
#include "src/math/logf.h"
-#include "src/__support/FPUtil/FEnvImpl.h"
-#include "src/__support/FPUtil/FPBits.h"
-#include "src/__support/FPUtil/PolyEval.h"
-#include "src/__support/FPUtil/except_value_utils.h"
-#include "src/__support/FPUtil/multiply_add.h"
-#include "src/__support/common.h"
-#include "src/__support/macros/config.h"
-#include "src/__support/macros/optimization.h" // LIBC_UNLIKELY
-#include "src/__support/macros/properties/cpu_features.h"
-#include "src/__support/math/common_constants.h" // Lookup table for (1/f) and log(f)
+#include "src/__support/math/logf.h" // Lookup table for (1/f) and log(f)
// This is an algorithm for log(x) in single precision which is correctly
// rounded for all rounding modes, based on the implementation of log(x) from
diff --git a/libc/test/shared/CMakeLists.txt b/libc/test/shared/CMakeLists.txt
index cfc2eda1aaec9..bf8d8eca9abf5 100644
--- a/libc/test/shared/CMakeLists.txt
+++ b/libc/test/shared/CMakeLists.txt
@@ -68,6 +68,7 @@ add_fp_unittest(
libc.src.__support.math.logbf
libc.src.__support.math.logbf128
libc.src.__support.math.logbf16
+ libc.src.__support.math.logf
libc.src.__support.math.ldexpf
libc.src.__support.math.ldexpf128
libc.src.__support.math.ldexpf16
diff --git a/libc/test/shared/shared_math_test.cpp b/libc/test/shared/shared_math_test.cpp
index 88e6ecc98a0a7..e1ce06831bb3b 100644
--- a/libc/test/shared/shared_math_test.cpp
+++ b/libc/test/shared/shared_math_test.cpp
@@ -73,6 +73,7 @@ TEST(LlvmLibcSharedMathTest, AllFloat) {
EXPECT_FP_EQ(0x1p+0f, LIBC_NAMESPACE::shared::exp2f(0.0f));
EXPECT_FP_EQ(0x0p+0f, LIBC_NAMESPACE::shared::expm1f(0.0f));
EXPECT_FP_EQ(0x0p+0f, LIBC_NAMESPACE::shared::hypotf(0.0f, 0.0f));
+ EXPECT_FP_EQ(0x0p+0f, LIBC_NAMESPACE::shared::logf(1.0f));
EXPECT_FP_EQ_ALL_ROUNDING(0.75f,
LIBC_NAMESPACE::shared::frexpf(24.0f, &exponent));
diff --git a/utils/bazel/llvm-project-overlay/libc/BUILD.bazel b/utils/bazel/llvm-project-overlay/libc/BUILD.bazel
index 90b1da0e3376e..74b7b4901d6da 100644
--- a/utils/bazel/llvm-project-overlay/libc/BUILD.bazel
+++ b/utils/bazel/llvm-project-overlay/libc/BUILD.bazel
@@ -2977,6 +2977,23 @@ libc_support_library(
],
)
+libc_support_library(
+ name = "__support_math_logf",
+ hdrs = ["src/__support/math/logf.h"],
+ deps = [
+ ":__support_common",
+ ":__support_fputil_except_value_utils",
+ ":__support_fputil_fenv_impl",
+ ":__support_fputil_fp_bits",
+ ":__support_fputil_multiply_add",
+ ":__support_fputil_polyeval",
+ ":__support_macros_config",
+ ":__support_macros_optimization",
+ ":__support_macros_properties_cpu_features",
+ ":__support_math_common_constants",
+ ],
+)
+
libc_support_library(
name = "__support_math_exp_constants",
hdrs = ["src/__support/math/exp_constants.h"],
>From 3f01af142a29502207c6fbb4f645bebc829fe0ec Mon Sep 17 00:00:00 2001
From: Anikesh Parashar <anikeshparashar at gmail.com>
Date: Tue, 20 Jan 2026 04:21:42 +0530
Subject: [PATCH 2/5] Refractor logf to header only
---
libc/shared/math/logf.h | 2 +-
libc/src/__support/math/logf.h | 2 +-
2 files changed, 2 insertions(+), 2 deletions(-)
diff --git a/libc/shared/math/logf.h b/libc/shared/math/logf.h
index a36ecfd3d4a39..aa1caa4f0272a 100644
--- a/libc/shared/math/logf.h
+++ b/libc/shared/math/logf.h
@@ -13,7 +13,7 @@
#include "src/__support/math/logf.h"
namespace LIBC_NAMESPACE_DECL {
-
+
namespace shared {
using math::logf;
} // namespace shared
diff --git a/libc/src/__support/math/logf.h b/libc/src/__support/math/logf.h
index a6a1452ef87ab..dc85483ea011c 100644
--- a/libc/src/__support/math/logf.h
+++ b/libc/src/__support/math/logf.h
@@ -9,7 +9,6 @@
#ifndef LLVM_LIBC_SRC___SUPPORT_MATH_LOGF_H
#define LLVM_LIBC_SRC___SUPPORT_MATH_LOGF_H
-#include "src/math/logf.h"
#include "src/__support/FPUtil/FEnvImpl.h"
#include "src/__support/FPUtil/FPBits.h"
#include "src/__support/FPUtil/PolyEval.h"
@@ -20,6 +19,7 @@
#include "src/__support/macros/optimization.h" // LIBC_UNLIKELY
#include "src/__support/macros/properties/cpu_features.h"
#include "src/__support/math/common_constants.h" // Lookup table for (1/f) and log(f)
+#include "src/math/logf.h"
// This is an algorithm for log(x) in single precision which is correctly
// rounded for all rounding modes, based on the implementation of log(x) from
>From 2d9f31764bf4899fdcef230cf7442ae718977246 Mon Sep 17 00:00:00 2001
From: Anikesh Parashar <anikeshparashar at gmail.com>
Date: Tue, 20 Jan 2026 04:28:46 +0530
Subject: [PATCH 3/5] Add newline at EOF
---
libc/shared/math/logf.h | 2 +-
libc/src/__support/math/logf.h | 2 +-
2 files changed, 2 insertions(+), 2 deletions(-)
diff --git a/libc/shared/math/logf.h b/libc/shared/math/logf.h
index aa1caa4f0272a..8d12f2d7fd9f7 100644
--- a/libc/shared/math/logf.h
+++ b/libc/shared/math/logf.h
@@ -20,4 +20,4 @@ using math::logf;
} // namespace LIBC_NAMESPACE_DECL
-#endif // LLVM_LIBC_SHARED_MATH_LOGF_H
\ No newline at end of file
+#endif // LLVM_LIBC_SHARED_MATH_LOGF_H
diff --git a/libc/src/__support/math/logf.h b/libc/src/__support/math/logf.h
index dc85483ea011c..c608e9d11b1dd 100644
--- a/libc/src/__support/math/logf.h
+++ b/libc/src/__support/math/logf.h
@@ -190,4 +190,4 @@ static constexpr float logf(float x) {
} // namespace LIBC_NAMESPACE_DECL
-#endif // LLVM_LIBC_SRC___SUPPORT_MATH_LOGF_H
\ No newline at end of file
+#endif // LLVM_LIBC_SRC___SUPPORT_MATH_LOGF_H
>From 206d1850a31b548bd26c19f315eecea4352f1f5f Mon Sep 17 00:00:00 2001
From: Anikesh Parashar <anikeshparashar at gmail.com>
Date: Tue, 20 Jan 2026 04:36:49 +0530
Subject: [PATCH 4/5] Remove redundant header inclusion
---
libc/src/__support/math/logf.h | 1 -
1 file changed, 1 deletion(-)
diff --git a/libc/src/__support/math/logf.h b/libc/src/__support/math/logf.h
index c608e9d11b1dd..e8d6e879cf2a9 100644
--- a/libc/src/__support/math/logf.h
+++ b/libc/src/__support/math/logf.h
@@ -19,7 +19,6 @@
#include "src/__support/macros/optimization.h" // LIBC_UNLIKELY
#include "src/__support/macros/properties/cpu_features.h"
#include "src/__support/math/common_constants.h" // Lookup table for (1/f) and log(f)
-#include "src/math/logf.h"
// This is an algorithm for log(x) in single precision which is correctly
// rounded for all rounding modes, based on the implementation of log(x) from
>From 0d38e7eaadfef3e122ae0a28962e8dfc8215c744 Mon Sep 17 00:00:00 2001
From: Anikesh Parashar <anikeshparashar at gmail.com>
Date: Wed, 21 Jan 2026 17:29:30 +0530
Subject: [PATCH 5/5] use header implementation for logf
---
libc/src/math/generic/logf.cpp | 129 +--------------------------------
1 file changed, 1 insertion(+), 128 deletions(-)
diff --git a/libc/src/math/generic/logf.cpp b/libc/src/math/generic/logf.cpp
index 80b757ddf3658..863a9378d3135 100644
--- a/libc/src/math/generic/logf.cpp
+++ b/libc/src/math/generic/logf.cpp
@@ -43,133 +43,6 @@
namespace LIBC_NAMESPACE_DECL {
-LLVM_LIBC_FUNCTION(float, logf, (float x)) {
- using namespace common_constants_internal;
- constexpr double LOG_2 = 0x1.62e42fefa39efp-1;
- using FPBits = typename fputil::FPBits<float>;
-
- FPBits xbits(x);
- uint32_t x_u = xbits.uintval();
-
- int m = -FPBits::EXP_BIAS;
-
- using fputil::round_result_slightly_down;
- using fputil::round_result_slightly_up;
-
- // Small inputs
- if (x_u < 0x4c5d65a5U) {
-#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
- // Hard-to-round cases.
- switch (x_u) {
- case 0x3f7f4d6fU: // x = 0x1.fe9adep-1f
- return round_result_slightly_up(-0x1.659ec8p-9f);
- case 0x41178febU: // x = 0x1.2f1fd6p+3f
- return round_result_slightly_up(0x1.1fcbcep+1f);
-#ifdef LIBC_TARGET_CPU_HAS_FMA
- case 0x3f800000U: // x = 1.0f
- return 0.0f;
-#else
- case 0x1e88452dU: // x = 0x1.108a5ap-66f
- return round_result_slightly_up(-0x1.6d7b18p+5f);
-#endif // LIBC_TARGET_CPU_HAS_FMA
- }
-#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
- // Subnormal inputs.
- if (LIBC_UNLIKELY(x_u < FPBits::min_normal().uintval())) {
- if (x == 0.0f) {
- // Return -inf and raise FE_DIVBYZERO
- fputil::set_errno_if_required(ERANGE);
- fputil::raise_except_if_required(FE_DIVBYZERO);
- return FPBits::inf(Sign::NEG).get_val();
- }
- // Normalize denormal inputs.
- xbits = FPBits(xbits.get_val() * 0x1.0p23f);
- m -= 23;
- x_u = xbits.uintval();
- }
- } else {
-#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
- // Hard-to-round cases.
- switch (x_u) {
- case 0x4c5d65a5U: // x = 0x1.bacb4ap+25f
- return round_result_slightly_down(0x1.1e0696p+4f);
- case 0x65d890d3U: // x = 0x1.b121a6p+76f
- return round_result_slightly_down(0x1.a9a3f2p+5f);
- case 0x6f31a8ecU: // x = 0x1.6351d8p+95f
- return round_result_slightly_down(0x1.08b512p+6f);
- case 0x7a17f30aU: // x = 0x1.2fe614p+117f
- return round_result_slightly_up(0x1.451436p+6f);
-#ifndef LIBC_TARGET_CPU_HAS_FMA_DOUBLE
- case 0x500ffb03U: // x = 0x1.1ff606p+33f
- return round_result_slightly_up(0x1.6fdd34p+4f);
- case 0x5cd69e88U: // x = 0x1.ad3d1p+58f
- return round_result_slightly_up(0x1.45c146p+5f);
- case 0x5ee8984eU: // x = 0x1.d1309cp+62f;
- return round_result_slightly_up(0x1.5c9442p+5f);
-#endif // LIBC_TARGET_CPU_HAS_FMA_DOUBLE
- }
-#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
- // Exceptional inputs.
- if (LIBC_UNLIKELY(x_u > FPBits::max_normal().uintval())) {
- if (x_u == 0x8000'0000U) {
- // Return -inf and raise FE_DIVBYZERO
- fputil::set_errno_if_required(ERANGE);
- fputil::raise_except_if_required(FE_DIVBYZERO);
- return FPBits::inf(Sign::NEG).get_val();
- }
- if (xbits.is_neg() && !xbits.is_nan()) {
- // Return NaN and raise FE_INVALID
- fputil::set_errno_if_required(EDOM);
- fputil::raise_except_if_required(FE_INVALID);
- return FPBits::quiet_nan().get_val();
- }
- // x is +inf or nan
- if (xbits.is_signaling_nan()) {
- fputil::raise_except_if_required(FE_INVALID);
- return FPBits::quiet_nan().get_val();
- }
-
- return x;
- }
- }
-
-#ifndef LIBC_TARGET_CPU_HAS_FMA
- // Returning the correct +0 when x = 1.0 for non-FMA targets with FE_DOWNWARD
- // rounding mode.
- if (LIBC_UNLIKELY((x_u & 0x007f'ffffU) == 0))
- return static_cast<float>(
- static_cast<double>(m + xbits.get_biased_exponent()) * LOG_2);
-#endif // LIBC_TARGET_CPU_HAS_FMA
-
- uint32_t mant = xbits.get_mantissa();
- // Extract 7 leading fractional bits of the mantissa
- int index = mant >> 16;
- // Add unbiased exponent. Add an extra 1 if the 7 leading fractional bits are
- // all 1's.
- m += static_cast<int>((x_u + (1 << 16)) >> 23);
-
- // Set bits to 1.m
- xbits.set_biased_exponent(0x7F);
-
- float u = xbits.get_val();
- double v;
-#ifdef LIBC_TARGET_CPU_HAS_FMA_FLOAT
- v = static_cast<double>(fputil::multiply_add(u, R[index], -1.0f)); // Exact.
-#else
- v = fputil::multiply_add(static_cast<double>(u), RD[index], -1.0); // Exact
-#endif // LIBC_TARGET_CPU_HAS_FMA_FLOAT
-
- // Degree-5 polynomial approximation of log generated by Sollya with:
- // > P = fpminimax(log(1 + x)/x, 4, [|1, D...|], [-2^-8, 2^-7]);
- constexpr double COEFFS[4] = {-0x1.000000000fe63p-1, 0x1.555556e963c16p-2,
- -0x1.000028dedf986p-2, 0x1.966681bfda7f7p-3};
- double v2 = v * v; // Exact
- double p2 = fputil::multiply_add(v, COEFFS[3], COEFFS[2]);
- double p1 = fputil::multiply_add(v, COEFFS[1], COEFFS[0]);
- double p0 = LOG_R[index] + v;
- double r = fputil::multiply_add(static_cast<double>(m), LOG_2,
- fputil::polyeval(v2, p0, p1, p2));
- return static_cast<float>(r);
-}
+LLVM_LIBC_FUNCTION(float, logf, (float x)) { return math::logf(x); }
} // namespace LIBC_NAMESPACE_DECL
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