[libc-commits] [libc] [libc][math][c++23] Add sqrtbf16 math function (PR #156654)

Krishna Pandey via libc-commits libc-commits at lists.llvm.org
Wed Sep 3 05:27:57 PDT 2025


https://github.com/krishna2803 created https://github.com/llvm/llvm-project/pull/156654

This PR adds sqrtbf16 higher math function for BFloat16 type along with the tests.

>From a3a5d6bef1c1c2df23dd9c6661634ec269c37398 Mon Sep 17 00:00:00 2001
From: Krishna Pandey <kpandey81930 at gmail.com>
Date: Wed, 3 Sep 2025 17:34:11 +0530
Subject: [PATCH 1/4] feat: implement sqrtbf16 higher math function

Signed-off-by: Krishna Pandey <kpandey81930 at gmail.com>
---
 libc/src/math/CMakeLists.txt         |  1 +
 libc/src/math/generic/CMakeLists.txt | 16 +++++++++++++++-
 libc/src/math/generic/sqrtbf16.cpp   | 21 +++++++++++++++++++++
 libc/src/math/sqrtbf16.h             | 21 +++++++++++++++++++++
 4 files changed, 58 insertions(+), 1 deletion(-)
 create mode 100644 libc/src/math/generic/sqrtbf16.cpp
 create mode 100644 libc/src/math/sqrtbf16.h

diff --git a/libc/src/math/CMakeLists.txt b/libc/src/math/CMakeLists.txt
index 95e5ae781490f..a31e1a2288356 100644
--- a/libc/src/math/CMakeLists.txt
+++ b/libc/src/math/CMakeLists.txt
@@ -552,6 +552,7 @@ add_math_entrypoint_object(sqrtf)
 add_math_entrypoint_object(sqrtl)
 add_math_entrypoint_object(sqrtf16)
 add_math_entrypoint_object(sqrtf128)
+add_math_entrypoint_object(sqrtbf16)
 
 add_math_entrypoint_object(tan)
 add_math_entrypoint_object(tanf)
diff --git a/libc/src/math/generic/CMakeLists.txt b/libc/src/math/generic/CMakeLists.txt
index ba71e5f9e1260..236c5fc01a5da 100644
--- a/libc/src/math/generic/CMakeLists.txt
+++ b/libc/src/math/generic/CMakeLists.txt
@@ -3211,7 +3211,21 @@ add_entrypoint_object(
     libc.src.__support.macros.optimization
     libc.src.__support.macros.properties.types
     libc.src.__support.FPUtil.sqrt
-  )
+)
+
+add_entrypoint_object(
+  sqrtbf16
+  SRCS
+    sqrtbf16.cpp
+  HDRS
+    ../sqrtbf16.h
+  DEPENDS
+    libc.src.__support.common
+    libc.src.__support.FPUtil.bfloat16
+    libc.src.__support.FPUtil.sqrt
+    libc.src.__support.macros.config
+    libc.src.__support.macros.properties.types
+)
 
 add_entrypoint_object(
   remquof
diff --git a/libc/src/math/generic/sqrtbf16.cpp b/libc/src/math/generic/sqrtbf16.cpp
new file mode 100644
index 0000000000000..061e5522a4d8f
--- /dev/null
+++ b/libc/src/math/generic/sqrtbf16.cpp
@@ -0,0 +1,21 @@
+//===-- Implementation of sqrtbf16 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/sqrtbf16.h"
+#include "src/__support/FPUtil/bfloat16.h"
+#include "src/__support/FPUtil/sqrt.h"
+#include "src/__support/common.h"
+#include "src/__support/macros/config.h"
+
+namespace LIBC_NAMESPACE_DECL {
+
+LLVM_LIBC_FUNCTION(bfloat16, sqrtbf16, (bfloat16 x)) {
+  return fputil::sqrt<bfloat16>(x);
+}
+
+} // namespace LIBC_NAMESPACE_DECL
diff --git a/libc/src/math/sqrtbf16.h b/libc/src/math/sqrtbf16.h
new file mode 100644
index 0000000000000..4300e9cab6ad3
--- /dev/null
+++ b/libc/src/math/sqrtbf16.h
@@ -0,0 +1,21 @@
+//===-- Implementation header for sqrtbf16 ----------------------*- 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_SQRTBF16_H
+#define LLVM_LIBC_SRC_MATH_SQRTBF16_H
+
+#include "src/__support/macros/config.h"
+#include "src/__support/macros/properties/types.h"
+
+namespace LIBC_NAMESPACE_DECL {
+
+bfloat16 sqrtbf16(bfloat16 x);
+
+} // namespace LIBC_NAMESPACE_DECL
+
+#endif // LLVM_LIBC_SRC_MATH_SQRTBF16_H

>From edb359dbb1c265f751a725bc7b8e1f4db8e24afe Mon Sep 17 00:00:00 2001
From: Krishna Pandey <kpandey81930 at gmail.com>
Date: Wed, 3 Sep 2025 17:36:50 +0530
Subject: [PATCH 2/4] chore: add smoke and general tests for sqrtbf16 higher
 math function

Signed-off-by: Krishna Pandey <kpandey81930 at gmail.com>
---
 libc/test/src/math/CMakeLists.txt          | 12 +++++++++
 libc/test/src/math/smoke/CMakeLists.txt    | 13 ++++++++++
 libc/test/src/math/smoke/sqrtbf16_test.cpp | 14 +++++++++++
 libc/test/src/math/sqrtbf16_test.cpp       | 29 ++++++++++++++++++++++
 libc/utils/MPFRWrapper/MPFRUtils.cpp       |  7 ++++++
 5 files changed, 75 insertions(+)
 create mode 100644 libc/test/src/math/smoke/sqrtbf16_test.cpp
 create mode 100644 libc/test/src/math/sqrtbf16_test.cpp

diff --git a/libc/test/src/math/CMakeLists.txt b/libc/test/src/math/CMakeLists.txt
index 8e24c5d5c2afd..11323ee161c2a 100644
--- a/libc/test/src/math/CMakeLists.txt
+++ b/libc/test/src/math/CMakeLists.txt
@@ -1705,6 +1705,18 @@ add_fp_unittest(
     libc.src.math.sqrtf128
 )
 
+add_fp_unittest(
+  sqrtbf16_test
+  NEED_MPFR
+  SUITE
+    libc-math-unittests
+  SRCS
+    sqrtbf16_test.cpp
+  DEPENDS
+    libc.src.math.sqrtbf16
+    libc.src.__support.FPUtil.bfloat16
+)
+
 add_fp_unittest(
   generic_sqrtf_test
   NEED_MPFR
diff --git a/libc/test/src/math/smoke/CMakeLists.txt b/libc/test/src/math/smoke/CMakeLists.txt
index a5f856f05bb8c..3be617b732caa 100644
--- a/libc/test/src/math/smoke/CMakeLists.txt
+++ b/libc/test/src/math/smoke/CMakeLists.txt
@@ -3455,6 +3455,19 @@ add_fp_unittest(
     libc.src.math.sqrtf128
 )
 
+add_fp_unittest(
+  sqrtbf16_test
+  SUITE
+    libc-math-smoke-tests
+  SRCS
+    sqrtbf16_test.cpp
+  HDRS
+    SqrtTest.h
+  DEPENDS
+    libc.src.math.sqrtbf16
+    libc.src.__support.FPUtil.bfloat16
+)
+
 add_fp_unittest(
   generic_sqrtf_test
   SUITE
diff --git a/libc/test/src/math/smoke/sqrtbf16_test.cpp b/libc/test/src/math/smoke/sqrtbf16_test.cpp
new file mode 100644
index 0000000000000..25629347fee3e
--- /dev/null
+++ b/libc/test/src/math/smoke/sqrtbf16_test.cpp
@@ -0,0 +1,14 @@
+//===-- Unittests for sqrtbf16 --------------------------------------------===//
+//
+// 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 "SqrtTest.h"
+
+#include "src/__support/FPUtil/bfloat16.h"
+#include "src/math/sqrtbf16.h"
+
+LIST_SQRT_TESTS(bfloat16, LIBC_NAMESPACE::sqrtbf16);
diff --git a/libc/test/src/math/sqrtbf16_test.cpp b/libc/test/src/math/sqrtbf16_test.cpp
new file mode 100644
index 0000000000000..186ddd5487133
--- /dev/null
+++ b/libc/test/src/math/sqrtbf16_test.cpp
@@ -0,0 +1,29 @@
+//===-- Exhaustive test for sqrtbf16 --------------------------------------===//
+//
+// 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/FPUtil/bfloat16.h"
+#include "src/math/sqrtbf16.h"
+#include "test/UnitTest/FPMatcher.h"
+#include "test/UnitTest/Test.h"
+#include "utils/MPFRWrapper/MPFRUtils.h"
+
+using LlvmLibcSqrtf16Test = LIBC_NAMESPACE::testing::FPTest<bfloat16>;
+
+namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
+
+// range: [0, inf]
+static constexpr uint16_t POS_START = 0x0000U;
+static constexpr uint16_t POS_STOP = 0x7f80U;
+
+TEST_F(LlvmLibcSqrtf16Test, PositiveRange) {
+  for (uint16_t v = POS_START; v <= POS_STOP; ++v) {
+    bfloat16 x = FPBits(v).get_val();
+    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Sqrt, x,
+                                   LIBC_NAMESPACE::sqrtbf16(x), 0.5);
+  }
+}
diff --git a/libc/utils/MPFRWrapper/MPFRUtils.cpp b/libc/utils/MPFRWrapper/MPFRUtils.cpp
index 2155f324aa8a5..42e505e2fccb7 100644
--- a/libc/utils/MPFRWrapper/MPFRUtils.cpp
+++ b/libc/utils/MPFRWrapper/MPFRUtils.cpp
@@ -272,6 +272,10 @@ template void explain_unary_operation_single_output_error(Operation op,
                                                           double, RoundingMode);
 #endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
 
+template void explain_unary_operation_single_output_error(Operation op,
+                                                          bfloat16, bfloat16,
+                                                          double, RoundingMode);
+
 template <typename T>
 void explain_unary_operation_two_outputs_error(
     Operation op, T input, const BinaryOutput<T> &libc_result,
@@ -559,6 +563,9 @@ template bool compare_unary_operation_single_output(Operation, float128,
                                                     long double, double,
                                                     RoundingMode);
 #endif // LIBC_TYPES_FLOAT128_IS_NOT_LONG_DOUBLE
+template bool compare_unary_operation_single_output(Operation, bfloat16,
+                                                    bfloat16, double,
+                                                    RoundingMode);
 
 template <typename T>
 bool compare_unary_operation_two_outputs(Operation op, T input,

>From f7ff333d82f8ee079cd4b23265759bc9178cee0c Mon Sep 17 00:00:00 2001
From: Krishna Pandey <kpandey81930 at gmail.com>
Date: Wed, 3 Sep 2025 17:39:37 +0530
Subject: [PATCH 3/4] chore: update entrypoints

Signed-off-by: Krishna Pandey <kpandey81930 at gmail.com>
---
 libc/config/baremetal/aarch64/entrypoints.txt | 1 +
 libc/config/baremetal/arm/entrypoints.txt     | 1 +
 libc/config/baremetal/riscv/entrypoints.txt   | 1 +
 libc/config/darwin/aarch64/entrypoints.txt    | 1 +
 libc/config/darwin/x86_64/entrypoints.txt     | 1 +
 libc/config/gpu/amdgpu/entrypoints.txt        | 1 +
 libc/config/gpu/nvptx/entrypoints.txt         | 1 +
 libc/config/linux/aarch64/entrypoints.txt     | 1 +
 libc/config/linux/arm/entrypoints.txt         | 1 +
 libc/config/linux/riscv/entrypoints.txt       | 1 +
 libc/config/linux/x86_64/entrypoints.txt      | 1 +
 libc/config/windows/entrypoints.txt           | 1 +
 12 files changed, 12 insertions(+)

diff --git a/libc/config/baremetal/aarch64/entrypoints.txt b/libc/config/baremetal/aarch64/entrypoints.txt
index c2e4c337f199a..df9f61ca6c108 100644
--- a/libc/config/baremetal/aarch64/entrypoints.txt
+++ b/libc/config/baremetal/aarch64/entrypoints.txt
@@ -811,6 +811,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/baremetal/arm/entrypoints.txt b/libc/config/baremetal/arm/entrypoints.txt
index c4f3a87659b23..779f37be1859c 100644
--- a/libc/config/baremetal/arm/entrypoints.txt
+++ b/libc/config/baremetal/arm/entrypoints.txt
@@ -814,6 +814,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/baremetal/riscv/entrypoints.txt b/libc/config/baremetal/riscv/entrypoints.txt
index 380ca57ea8aa9..d0ced09111f9f 100644
--- a/libc/config/baremetal/riscv/entrypoints.txt
+++ b/libc/config/baremetal/riscv/entrypoints.txt
@@ -814,6 +814,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/darwin/aarch64/entrypoints.txt b/libc/config/darwin/aarch64/entrypoints.txt
index 1f4318fc88389..a9ae541f8ed44 100644
--- a/libc/config/darwin/aarch64/entrypoints.txt
+++ b/libc/config/darwin/aarch64/entrypoints.txt
@@ -644,6 +644,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/darwin/x86_64/entrypoints.txt b/libc/config/darwin/x86_64/entrypoints.txt
index 0cba22016c960..120d98a4a6160 100644
--- a/libc/config/darwin/x86_64/entrypoints.txt
+++ b/libc/config/darwin/x86_64/entrypoints.txt
@@ -287,6 +287,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/gpu/amdgpu/entrypoints.txt b/libc/config/gpu/amdgpu/entrypoints.txt
index e08b028865bfc..66d0b618fb7cb 100644
--- a/libc/config/gpu/amdgpu/entrypoints.txt
+++ b/libc/config/gpu/amdgpu/entrypoints.txt
@@ -670,6 +670,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/gpu/nvptx/entrypoints.txt b/libc/config/gpu/nvptx/entrypoints.txt
index 88c8fc91ebb77..395c7985feee7 100644
--- a/libc/config/gpu/nvptx/entrypoints.txt
+++ b/libc/config/gpu/nvptx/entrypoints.txt
@@ -672,6 +672,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/linux/aarch64/entrypoints.txt b/libc/config/linux/aarch64/entrypoints.txt
index 20924e9047c69..079466c3b8d81 100644
--- a/libc/config/linux/aarch64/entrypoints.txt
+++ b/libc/config/linux/aarch64/entrypoints.txt
@@ -899,6 +899,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/linux/arm/entrypoints.txt b/libc/config/linux/arm/entrypoints.txt
index f2e8ddfe8e91a..116f554a6374b 100644
--- a/libc/config/linux/arm/entrypoints.txt
+++ b/libc/config/linux/arm/entrypoints.txt
@@ -514,6 +514,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/linux/riscv/entrypoints.txt b/libc/config/linux/riscv/entrypoints.txt
index 0ad36a667232a..e5665a7cd139b 100644
--- a/libc/config/linux/riscv/entrypoints.txt
+++ b/libc/config/linux/riscv/entrypoints.txt
@@ -917,6 +917,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/linux/x86_64/entrypoints.txt b/libc/config/linux/x86_64/entrypoints.txt
index c060e900472eb..73ad93d3fdf18 100644
--- a/libc/config/linux/x86_64/entrypoints.txt
+++ b/libc/config/linux/x86_64/entrypoints.txt
@@ -950,6 +950,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16
diff --git a/libc/config/windows/entrypoints.txt b/libc/config/windows/entrypoints.txt
index 9e45b800b10a3..c742d88f8c90d 100644
--- a/libc/config/windows/entrypoints.txt
+++ b/libc/config/windows/entrypoints.txt
@@ -360,6 +360,7 @@ list(APPEND TARGET_LIBM_ENTRYPOINTS
   libc.src.math.roundevenbf16
   libc.src.math.setpayloadbf16
   libc.src.math.setpayloadsigbf16
+  libc.src.math.sqrtbf16
   libc.src.math.truncbf16
   libc.src.math.ufromfpbf16
   libc.src.math.ufromfpxbf16

>From 83ebd0f30be2b8e16a3f468b837f50ff8cab1c8c Mon Sep 17 00:00:00 2001
From: Krishna Pandey <kpandey81930 at gmail.com>
Date: Wed, 3 Sep 2025 17:47:02 +0530
Subject: [PATCH 4/4] docs: add sqrtbf16 higher math function

Signed-off-by: Krishna Pandey <kpandey81930 at gmail.com>
---
 libc/docs/headers/math/index.rst | 214 +++++++++++++++----------------
 1 file changed, 107 insertions(+), 107 deletions(-)

diff --git a/libc/docs/headers/math/index.rst b/libc/docs/headers/math/index.rst
index b329bf031312d..016d96ce69d4b 100644
--- a/libc/docs/headers/math/index.rst
+++ b/libc/docs/headers/math/index.rst
@@ -255,113 +255,113 @@ Basic Operations
 Higher Math Functions
 =====================
 
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| <Func>    | <Func_f> (float) | <Func> (double) | <Func_l> (long double) | <Func_f16> (float16) | <Func_f128> (float128) | C23 Definition Section | C23 Error Handling Section |
-+===========+==================+=================+========================+======================+========================+========================+============================+
-| acos      | |check|          | |check|         |                        | |check|              |                        | 7.12.4.1               | F.10.1.1                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| acosh     | |check|          |                 |                        | |check|              |                        | 7.12.5.1               | F.10.2.1                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| acospi    |                  |                 |                        | |check|              |                        | 7.12.4.8               | F.10.1.8                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| asin      | |check|          | |check|         |                        | |check|              |                        | 7.12.4.2               | F.10.1.2                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| asinh     | |check|          |                 |                        | |check|              |                        | 7.12.5.2               | F.10.2.2                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| asinpi    |                  |                 |                        | |check|              |                        | 7.12.4.9               | F.10.1.9                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| atan      | |check|          | 1 ULP           |                        | |check|              |                        | 7.12.4.3               | F.10.1.3                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| atan2     | |check|          | 1 ULP           |                        |                      | 1 ULP                  | 7.12.4.4               | F.10.1.4                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| atan2pi   |                  |                 |                        |                      |                        | 7.12.4.11              | F.10.1.11                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| atanh     | |check|          |                 |                        | |check|              |                        | 7.12.5.3               | F.10.2.3                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| atanpi    |                  |                 |                        |                      |                        | 7.12.4.10              | F.10.1.10                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| cbrt      | |check|          | |check|         |                        |                      |                        | 7.12.7.1               | F.10.4.1                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| compoundn |                  |                 |                        |                      |                        | 7.12.7.2               | F.10.4.2                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| cos       | |check|          | |check|         |                        | |check|              |                        | 7.12.4.5               | F.10.1.5                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| cosh      | |check|          |                 |                        | |check|              |                        | 7.12.5.4               | F.10.2.4                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| cospi     | |check|          |                 |                        | |check|              |                        | 7.12.4.12              | F.10.1.12                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| dsqrt     | N/A              | N/A             |   |check|              | N/A                  |       |check|\*        | 7.12.14.6              | F.10.11                    |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| erf       | |check|          |                 |                        |                      |                        | 7.12.8.1               | F.10.5.1                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| erfc      |                  |                 |                        |                      |                        | 7.12.8.2               | F.10.5.2                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| exp       | |check|          | |check|         |                        | |check|              |                        | 7.12.6.1               | F.10.3.1                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| exp10     | |check|          | |check|         |                        | |check|              |                        | 7.12.6.2               | F.10.3.2                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| exp10m1   | |check|          |                 |                        | |check|              |                        | 7.12.6.3               | F.10.3.3                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| exp2      | |check|          | |check|         |                        | |check|              |                        | 7.12.6.4               | F.10.3.4                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| exp2m1    | |check|          |                 |                        | |check|              |                        | 7.12.6.5               | F.10.3.5                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| expm1     | |check|          | |check|         |                        | |check|              |                        | 7.12.6.6               | F.10.3.6                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| fma       | |check|          | |check|         |                        | |check|              |                        | 7.12.13.1              | F.10.10.1                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| f16sqrt   | |check|\*        | |check|\*       | |check|\*              | N/A                  | |check|                | 7.12.14.6              | F.10.11                    |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| fsqrt     | N/A              | |check|         |  |check|               | N/A                  | |check|\*              | 7.12.14.6              | F.10.11                    |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| hypot     | |check|          | |check|         |                        | |check|              |                        | 7.12.7.4               | F.10.4.4                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| lgamma    |                  |                 |                        |                      |                        | 7.12.8.3               | F.10.5.3                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| log       | |check|          | |check|         |                        | |check|              |                        | 7.12.6.11              | F.10.3.11                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| log10     | |check|          | |check|         |                        | |check|              |                        | 7.12.6.12              | F.10.3.12                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| log10p1   |                  |                 |                        |                      |                        | 7.12.6.13              | F.10.3.13                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| log1p     | |check|          | |check|         |                        |                      |                        | 7.12.6.14              | F.10.3.14                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| log2      | |check|          | |check|         |                        | |check|              |                        | 7.12.6.15              | F.10.3.15                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| log2p1    |                  |                 |                        |                      |                        | 7.12.6.16              | F.10.3.16                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| logp1     |                  |                 |                        |                      |                        | 7.12.6.14              | F.10.3.14                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| pow       | |check|          | 1 ULP           |                        |                      |                        | 7.12.7.5               | F.10.4.5                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| powi\*    |                  |                 |                        |                      |                        |                        |                            |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| pown      |                  |                 |                        |                      |                        | 7.12.7.6               | F.10.4.6                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| powr      |                  |                 |                        |                      |                        | 7.12.7.7               | F.10.4.7                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| rootn     |                  |                 |                        |                      |                        | 7.12.7.8               | F.10.4.8                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| rsqrt     |                  |                 |                        |                      |                        | 7.12.7.9               | F.10.4.9                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| sin       | |check|          | |check|         |                        | |check|              |                        | 7.12.4.6               | F.10.1.6                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| sincos    | |check|          | |check|         |                        |                      |                        |                        |                            |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| sinh      | |check|          |                 |                        | |check|              |                        | 7.12.5.5               | F.10.2.5                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| sinpi     | |check|          |                 |                        |  |check|             |                        | 7.12.4.13              | F.10.1.13                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| sqrt      | |check|          | |check|         | |check|                | |check|              | |check|                | 7.12.7.10              | F.10.4.10                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| tan       | |check|          | |check|         |                        | |check|              |                        | 7.12.4.7               | F.10.1.7                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| tanh      | |check|          |                 |                        | |check|              |                        | 7.12.5.6               | F.10.2.6                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| tanpi     | |check|          |                 |                        | |check|              |                        | 7.12.4.14              | F.10.1.14                  |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| tgamma    |                  |                 |                        |                      |                        | 7.12.8.4               | F.10.5.4                   |
-+-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+----------++------------+------------------------+----------------------------+
+| <Func>    | <Func_f> (float) | <Func> (double) | <Func_l> (long double) | <Func_f16> (float16) | <Func_f128> (float128) | <Func_bf16> (bfloat16) | C23 Definition Section | C23 Error Handling Section |
++===========+==================+=================+========================+======================+========================+========================+========================+============================+
+| acos      | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.4.1               | F.10.1.1                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| acosh     | |check|          |                 |                        | |check|              |                        |                        | 7.12.5.1               | F.10.2.1                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| acospi    |                  |                 |                        | |check|              |                        |                        | 7.12.4.8               | F.10.1.8                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| asin      | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.4.2               | F.10.1.2                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| asinh     | |check|          |                 |                        | |check|              |                        |                        | 7.12.5.2               | F.10.2.2                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| asinpi    |                  |                 |                        | |check|              |                        |                        | 7.12.4.9               | F.10.1.9                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| atan      | |check|          | 1 ULP           |                        | |check|              |                        |                        | 7.12.4.3               | F.10.1.3                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| atan2     | |check|          | 1 ULP           |                        |                      | 1 ULP                  |                        | 7.12.4.4               | F.10.1.4                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| atan2pi   |                  |                 |                        |                      |                        |                        | 7.12.4.11              | F.10.1.11                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| atanh     | |check|          |                 |                        | |check|              |                        |                        | 7.12.5.3               | F.10.2.3                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| atanpi    |                  |                 |                        |                      |                        |                        | 7.12.4.10              | F.10.1.10                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| cbrt      | |check|          | |check|         |                        |                      |                        |                        | 7.12.7.1               | F.10.4.1                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| compoundn |                  |                 |                        |                      |                        |                        | 7.12.7.2               | F.10.4.2                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| cos       | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.4.5               | F.10.1.5                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| cosh      | |check|          |                 |                        | |check|              |                        |                        | 7.12.5.4               | F.10.2.4                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| cospi     | |check|          |                 |                        | |check|              |                        |                        | 7.12.4.12              | F.10.1.12                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| dsqrt     | N/A              | N/A             |   |check|              | N/A                  |       |check|\*        |                        | 7.12.14.6              | F.10.11                    |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| erf       | |check|          |                 |                        |                      |                        |                        | 7.12.8.1               | F.10.5.1                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| erfc      |                  |                 |                        |                      |                        |                        | 7.12.8.2               | F.10.5.2                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| exp       | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.6.1               | F.10.3.1                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| exp10     | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.6.2               | F.10.3.2                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| exp10m1   | |check|          |                 |                        | |check|              |                        |                        | 7.12.6.3               | F.10.3.3                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| exp2      | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.6.4               | F.10.3.4                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| exp2m1    | |check|          |                 |                        | |check|              |                        |                        | 7.12.6.5               | F.10.3.5                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| expm1     | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.6.6               | F.10.3.6                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| fma       | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.13.1              | F.10.10.1                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| f16sqrt   | |check|\*        | |check|\*       | |check|\*              | N/A                  | |check|                |                        | 7.12.14.6              | F.10.11                    |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| fsqrt     | N/A              | |check|         |  |check|               | N/A                  | |check|\*              |                        | 7.12.14.6              | F.10.11                    |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| hypot     | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.7.4               | F.10.4.4                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| lgamma    |                  |                 |                        |                      |                        |                        | 7.12.8.3               | F.10.5.3                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| log       | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.6.11              | F.10.3.11                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| log10     | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.6.12              | F.10.3.12                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| log10p1   |                  |                 |                        |                      |                        |                        | 7.12.6.13              | F.10.3.13                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| log1p     | |check|          | |check|         |                        |                      |                        |                        | 7.12.6.14              | F.10.3.14                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| log2      | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.6.15              | F.10.3.15                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| log2p1    |                  |                 |                        |                      |                        |                        | 7.12.6.16              | F.10.3.16                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| logp1     |                  |                 |                        |                      |                        |                        | 7.12.6.14              | F.10.3.14                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| pow       | |check|          | 1 ULP           |                        |                      |                        |                        | 7.12.7.5               | F.10.4.5                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| powi\*    |                  |                 |                        |                      |                        |                        |                        |                            |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| pown      |                  |                 |                        |                      |                        |                        | 7.12.7.6               | F.10.4.6                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| powr      |                  |                 |                        |                      |                        |                        | 7.12.7.7               | F.10.4.7                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| rootn     |                  |                 |                        |                      |                        |                        | 7.12.7.8               | F.10.4.8                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| rsqrt     |                  |                 |                        |                      |                        |                        | 7.12.7.9               | F.10.4.9                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| sin       | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.4.6               | F.10.1.6                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| sincos    | |check|          | |check|         |                        |                      |                        |                        |                        |                            |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| sinh      | |check|          |                 |                        | |check|              |                        |                        | 7.12.5.5               | F.10.2.5                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| sinpi     | |check|          |                 |                        |  |check|             |                        |                        | 7.12.4.13              | F.10.1.13                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| sqrt      | |check|          | |check|         | |check|                | |check|              | |check|                | |check|                | 7.12.7.10              | F.10.4.10                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| tan       | |check|          | |check|         |                        | |check|              |                        |                        | 7.12.4.7               | F.10.1.7                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| tanh      | |check|          |                 |                        | |check|              |                        |                        | 7.12.5.6               | F.10.2.6                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| tanpi     | |check|          |                 |                        | |check|              |                        |                        | 7.12.4.14              | F.10.1.14                  |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
+| tgamma    |                  |                 |                        |                      |                        |                        | 7.12.8.4               | F.10.5.4                   |
++-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+------------------------+----------------------------+
 
 Legends:
 



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