[libc-commits] [libc] [libc][docs] Add GPU math conformance test results to support page (PR #156263)
Leandro Lacerda via libc-commits
libc-commits at lists.llvm.org
Wed Sep 3 20:22:22 PDT 2025
https://github.com/leandrolcampos updated https://github.com/llvm/llvm-project/pull/156263
>From 8b3ecee2692d4a8d50788600aa780492379430ca Mon Sep 17 00:00:00 2001
From: Leandro Augusto Lacerda Campos <leandrolcampos at yahoo.com.br>
Date: Sun, 31 Aug 2025 17:05:14 -0300
Subject: [PATCH 1/2] Add GPU math conformance test results to support page
---
libc/docs/gpu/support.rst | 166 ++++++++++++++++++++++++++++++++++++++
1 file changed, 166 insertions(+)
diff --git a/libc/docs/gpu/support.rst b/libc/docs/gpu/support.rst
index 3fb2df8e6f2ca..4243900fb81d4 100644
--- a/libc/docs/gpu/support.rst
+++ b/libc/docs/gpu/support.rst
@@ -281,3 +281,169 @@ Function Name Available RPC Required
assert |check| |check|
__assert_fail |check| |check|
============= ========= ============
+
+math.h
+------
+
+The following table presents the conformance test results for higher math functions on the GPU. The results show the maximum observed ULP (Units in the Last Place) distance when comparing the GPU implementation against a correctly rounded reference computed on the host CPU. In addition to the C standard math library (LLVM-libm), these tests are conducted against CUDA Math and HIP Math, for comparison only.
+
++------------------------+-------------+---------------+-----------------------------------------------------------------------------------+
+| Function | Test Method | ULP Tolerance | Max ULP Distance |
+| | | +--------------------+--------------------+--------------------+--------------------+
+| | | | llvm-libm | llvm-libm | cuda-math | hip-math |
+| | | | (AMDGPU) | (CUDA) | (CUDA) | (AMDGPU) |
++========================+=============+===============+====================+====================+====================+====================+
+| acos | Randomized | 4 | 6 (FAILED) | 6 (FAILED) | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acosf | Exhaustive | 4 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acosf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acoshf | Exhaustive | 4 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acoshf16 | Exhaustive | 2 | 0 | 0 | | 0 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acospif16 | Exhaustive | 2 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asin | Randomized | 4 | 6 (FAILED) | 6 (FAILED) | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asinf | Exhaustive | 4 | 1 | 1 | 1 | 3 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asinf16 | Exhaustive | 2 | 0 | 0 | | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asinhf | Exhaustive | 4 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asinhf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atanf | Exhaustive | 5 | 0 | 0 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atanf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atan2f | Randomized | 6 | 1 | 1 | 2 | 3 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atanhf | Exhaustive | 5 | 0 | 0 | 3 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atanhf16 | Exhaustive | 2 | 0 | 0 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cbrt | Randomized | 2 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cbrtf | Exhaustive | 2 | 0 | 0 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cos | Randomized | 4 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cosf | Exhaustive | 4 | 1 | 1 | 2 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cosf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| coshf | Exhaustive | 4 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| coshf16 | Exhaustive | 2 | 1 | 0 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cospif | Exhaustive | 4 | 0 | 0 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cospif16 | Exhaustive | 2 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| erff | Exhaustive | 16 | 0 | 0 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expf | Exhaustive | 3 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp10 | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp10f | Exhaustive | 3 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp10f16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp2 | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp2f | Exhaustive | 3 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp2f16 | Exhaustive | 2 | 1 | 1 | | 0 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expm1 | Randomized | 3 | 0 | 0 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expm1f | Exhaustive | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expm1f16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| hypot | Randomized | 4 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| hypotf | Randomized | 4 | 0 | 0 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| hypotf16 | Exhaustive | 2 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| logf | Exhaustive | 3 | 1 | 1 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| logf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log10 | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log10f | Exhaustive | 3 | 1 | 1 | 2 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log10f16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log1p | Randomized | 2 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log1pf | Exhaustive | 2 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log2 | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log2f | Exhaustive | 3 | 0 | 0 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log2f16 | Exhaustive | 2 | 1 | 1 | | 0 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| powf (integer exp.) | Randomized | 16 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| powf (real exp.) | Randomized | 16 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sin | Randomized | 4 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinf | Exhaustive | 4 | 1 | 1 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sincos (cos part) | Randomized | 4 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sincos (sin part) | Randomized | 4 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sincosf (cos part) | Exhaustive | 4 | 1 | 1 | 2 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sincosf (sin part) | Exhaustive | 4 | 1 | 1 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinhf | Exhaustive | 4 | 1 | 1 | 3 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinhf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinpif | Exhaustive | 4 | 0 | 0 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinpif16 | Exhaustive | 2 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tan | Randomized | 5 | 2 | 2 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanf | Exhaustive | 5 | 0 | 0 | 3 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanf16 | Exhaustive | 2 | 1 | 1 | | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanhf | Exhaustive | 5 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanhf16 | Exhaustive | 2 | 0 | 0 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanpif | Exhaustive | 6 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanpif16 | Exhaustive | 2 | 1 | 1 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+
+**Notes on Conformance Test Results:**
+
+* **Test Method**:
+ * **Exhaustive**: Every representable point in the input space is tested. This method is used for half-precision functions and single-precision univariate functions.
+ * **Randomized**: A large, deterministic subset of the input space is tested, typically using 2\ :sup:`32` samples. This method is used for functions with larger input spaces, such as single-precision bivariate and double-precision functions.
+* ULP tolerances are based on *The Khronos Group, The OpenCL C Specification v3.0.19, Sec. 7.4, Khronos Registry [July 10, 2025]*.
+* The AMD GPU used for testing is *gfx1030*.
+* The NVIDIA GPU used for testing is *NVIDIA RTX 4000 SFF Ada Generation*.
+* For more details on the tests, please refer to the `GPU Math Conformance Tests <https://github.com/llvm/llvm-project/tree/main/offload/unittests/Conformance>`_.
>From 3b9234b88a4fbc36040a41d85cac1567d465d0fb Mon Sep 17 00:00:00 2001
From: Leandro Augusto Lacerda Campos <leandrolcampos at yahoo.com.br>
Date: Wed, 3 Sep 2025 12:30:27 -0300
Subject: [PATCH 2/2] Move conformance test results to the math.h header
documentation
---
libc/docs/gpu/support.rst | 166 ------------------------------
libc/docs/headers/math/index.rst | 168 +++++++++++++++++++++++++++++++
2 files changed, 168 insertions(+), 166 deletions(-)
diff --git a/libc/docs/gpu/support.rst b/libc/docs/gpu/support.rst
index 4243900fb81d4..3fb2df8e6f2ca 100644
--- a/libc/docs/gpu/support.rst
+++ b/libc/docs/gpu/support.rst
@@ -281,169 +281,3 @@ Function Name Available RPC Required
assert |check| |check|
__assert_fail |check| |check|
============= ========= ============
-
-math.h
-------
-
-The following table presents the conformance test results for higher math functions on the GPU. The results show the maximum observed ULP (Units in the Last Place) distance when comparing the GPU implementation against a correctly rounded reference computed on the host CPU. In addition to the C standard math library (LLVM-libm), these tests are conducted against CUDA Math and HIP Math, for comparison only.
-
-+------------------------+-------------+---------------+-----------------------------------------------------------------------------------+
-| Function | Test Method | ULP Tolerance | Max ULP Distance |
-| | | +--------------------+--------------------+--------------------+--------------------+
-| | | | llvm-libm | llvm-libm | cuda-math | hip-math |
-| | | | (AMDGPU) | (CUDA) | (CUDA) | (AMDGPU) |
-+========================+=============+===============+====================+====================+====================+====================+
-| acos | Randomized | 4 | 6 (FAILED) | 6 (FAILED) | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| acosf | Exhaustive | 4 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| acosf16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| acoshf | Exhaustive | 4 | 1 | 1 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| acoshf16 | Exhaustive | 2 | 0 | 0 | | 0 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| acospif16 | Exhaustive | 2 | 0 | 0 | | |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| asin | Randomized | 4 | 6 (FAILED) | 6 (FAILED) | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| asinf | Exhaustive | 4 | 1 | 1 | 1 | 3 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| asinf16 | Exhaustive | 2 | 0 | 0 | | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| asinhf | Exhaustive | 4 | 1 | 1 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| asinhf16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| atanf | Exhaustive | 5 | 0 | 0 | 1 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| atanf16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| atan2f | Randomized | 6 | 1 | 1 | 2 | 3 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| atanhf | Exhaustive | 5 | 0 | 0 | 3 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| atanhf16 | Exhaustive | 2 | 0 | 0 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| cbrt | Randomized | 2 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| cbrtf | Exhaustive | 2 | 0 | 0 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| cos | Randomized | 4 | 1 | 1 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| cosf | Exhaustive | 4 | 1 | 1 | 2 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| cosf16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| coshf | Exhaustive | 4 | 0 | 0 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| coshf16 | Exhaustive | 2 | 1 | 0 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| cospif | Exhaustive | 4 | 0 | 0 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| cospif16 | Exhaustive | 2 | 0 | 0 | | |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| erff | Exhaustive | 16 | 0 | 0 | 1 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| exp | Randomized | 3 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| expf | Exhaustive | 3 | 0 | 0 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| expf16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| exp10 | Randomized | 3 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| exp10f | Exhaustive | 3 | 0 | 0 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| exp10f16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| exp2 | Randomized | 3 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| exp2f | Exhaustive | 3 | 1 | 1 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| exp2f16 | Exhaustive | 2 | 1 | 1 | | 0 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| expm1 | Randomized | 3 | 0 | 0 | 1 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| expm1f | Exhaustive | 3 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| expm1f16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| hypot | Randomized | 4 | 0 | 0 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| hypotf | Randomized | 4 | 0 | 0 | 1 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| hypotf16 | Exhaustive | 2 | 0 | 0 | | |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| log | Randomized | 3 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| logf | Exhaustive | 3 | 1 | 1 | 1 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| logf16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| log10 | Randomized | 3 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| log10f | Exhaustive | 3 | 1 | 1 | 2 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| log10f16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| log1p | Randomized | 2 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| log1pf | Exhaustive | 2 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| log2 | Randomized | 3 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| log2f | Exhaustive | 3 | 0 | 0 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| log2f16 | Exhaustive | 2 | 1 | 1 | | 0 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| powf (integer exp.) | Randomized | 16 | 0 | 0 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| powf (real exp.) | Randomized | 16 | 0 | 0 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sin | Randomized | 4 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sinf | Exhaustive | 4 | 1 | 1 | 1 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sinf16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sincos (cos part) | Randomized | 4 | 1 | 1 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sincos (sin part) | Randomized | 4 | 1 | 1 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sincosf (cos part) | Exhaustive | 4 | 1 | 1 | 2 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sincosf (sin part) | Exhaustive | 4 | 1 | 1 | 1 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sinhf | Exhaustive | 4 | 1 | 1 | 3 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sinhf16 | Exhaustive | 2 | 1 | 1 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sinpif | Exhaustive | 4 | 0 | 0 | 1 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| sinpif16 | Exhaustive | 2 | 0 | 0 | | |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| tan | Randomized | 5 | 2 | 2 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| tanf | Exhaustive | 5 | 0 | 0 | 3 | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| tanf16 | Exhaustive | 2 | 1 | 1 | | 2 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| tanhf | Exhaustive | 5 | 0 | 0 | 2 | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| tanhf16 | Exhaustive | 2 | 0 | 0 | | 1 |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| tanpif | Exhaustive | 6 | 0 | 0 | | |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-| tanpif16 | Exhaustive | 2 | 1 | 1 | | |
-+------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
-
-**Notes on Conformance Test Results:**
-
-* **Test Method**:
- * **Exhaustive**: Every representable point in the input space is tested. This method is used for half-precision functions and single-precision univariate functions.
- * **Randomized**: A large, deterministic subset of the input space is tested, typically using 2\ :sup:`32` samples. This method is used for functions with larger input spaces, such as single-precision bivariate and double-precision functions.
-* ULP tolerances are based on *The Khronos Group, The OpenCL C Specification v3.0.19, Sec. 7.4, Khronos Registry [July 10, 2025]*.
-* The AMD GPU used for testing is *gfx1030*.
-* The NVIDIA GPU used for testing is *NVIDIA RTX 4000 SFF Ada Generation*.
-* For more details on the tests, please refer to the `GPU Math Conformance Tests <https://github.com/llvm/llvm-project/tree/main/offload/unittests/Conformance>`_.
diff --git a/libc/docs/headers/math/index.rst b/libc/docs/headers/math/index.rst
index a707b37894afc..fcaffa98e3b19 100644
--- a/libc/docs/headers/math/index.rst
+++ b/libc/docs/headers/math/index.rst
@@ -376,6 +376,174 @@ Legends:
TODO(lntue): Add a new page to discuss about the algorithms used in the
implementations and include the link here.
+GPU Conformance
+===============
+
+* Conformance tests are located at: `offload/unittests/Conformance <https://github.com/llvm/llvm-project/tree/main/offload/unittests/Conformance>`_.
+
+* The math functions for GPUs are compiled with the following optimization options: ``LIBC_MATH_SKIP_ACCURATE_PASS``, ``LIBC_MATH_INTERMEDIATE_COMP_IN_FLOAT``, ``LIBC_MATH_SMALL_TABLES``, ``LIBC_MATH_NO_ERRNO``, and ``LIBC_MATH_NO_EXCEPT``.
+
+* The conformance test results for higher math functions on GPUs are reported in the table below. The results show the maximum observed ULP distance when comparing a given GPU implementation against the corresponding correctly rounded implementation from LLVM libc, which is computed on the host CPU and serves as the reference. For comparison purposes, results for CUDA Math and HIP Math against the same reference are also included.
+
++------------------------+-------------+---------------+-----------------------------------------------------------------------------------+
+| Function | Test Method | ULP Tolerance | Max ULP Distance |
+| | | +--------------------+--------------------+--------------------+--------------------+
+| | | | LLVM libc | LLVM libc | CUDA Math | HIP Math |
+| | | | (AMDGPU) | (CUDA) | (CUDA) | (AMDGPU) |
++========================+=============+===============+====================+====================+====================+====================+
+| acos | Randomized | 4 | 6 (FAILED) | 6 (FAILED) | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acosf | Exhaustive | 4 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acosf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acoshf | Exhaustive | 4 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acoshf16 | Exhaustive | 2 | 0 | 0 | | 0 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| acospif16 | Exhaustive | 2 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asin | Randomized | 4 | 6 (FAILED) | 6 (FAILED) | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asinf | Exhaustive | 4 | 1 | 1 | 1 | 3 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asinf16 | Exhaustive | 2 | 0 | 0 | | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asinhf | Exhaustive | 4 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| asinhf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atanf | Exhaustive | 5 | 0 | 0 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atanf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atan2f | Randomized | 6 | 1 | 1 | 2 | 3 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atanhf | Exhaustive | 5 | 0 | 0 | 3 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| atanhf16 | Exhaustive | 2 | 0 | 0 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cbrt | Randomized | 2 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cbrtf | Exhaustive | 2 | 0 | 0 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cos | Randomized | 4 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cosf | Exhaustive | 4 | 1 | 1 | 2 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cosf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| coshf | Exhaustive | 4 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| coshf16 | Exhaustive | 2 | 1 | 0 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cospif | Exhaustive | 4 | 0 | 0 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| cospif16 | Exhaustive | 2 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| erff | Exhaustive | 16 | 0 | 0 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expf | Exhaustive | 3 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp10 | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp10f | Exhaustive | 3 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp10f16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp2 | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp2f | Exhaustive | 3 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| exp2f16 | Exhaustive | 2 | 1 | 1 | | 0 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expm1 | Randomized | 3 | 0 | 0 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expm1f | Exhaustive | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| expm1f16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| hypot | Randomized | 4 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| hypotf | Randomized | 4 | 0 | 0 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| hypotf16 | Exhaustive | 2 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| logf | Exhaustive | 3 | 1 | 1 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| logf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log10 | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log10f | Exhaustive | 3 | 1 | 1 | 2 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log10f16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log1p | Randomized | 2 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log1pf | Exhaustive | 2 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log2 | Randomized | 3 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log2f | Exhaustive | 3 | 0 | 0 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| log2f16 | Exhaustive | 2 | 1 | 1 | | 0 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| powf (integer exp.) | Randomized | 16 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| powf (real exp.) | Randomized | 16 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sin | Randomized | 4 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinf | Exhaustive | 4 | 1 | 1 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sincos (cos part) | Randomized | 4 | 1 | 1 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sincos (sin part) | Randomized | 4 | 1 | 1 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sincosf (cos part) | Exhaustive | 4 | 1 | 1 | 2 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sincosf (sin part) | Exhaustive | 4 | 1 | 1 | 1 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinhf | Exhaustive | 4 | 1 | 1 | 3 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinhf16 | Exhaustive | 2 | 1 | 1 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinpif | Exhaustive | 4 | 0 | 0 | 1 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| sinpif16 | Exhaustive | 2 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tan | Randomized | 5 | 2 | 2 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanf | Exhaustive | 5 | 0 | 0 | 3 | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanf16 | Exhaustive | 2 | 1 | 1 | | 2 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanhf | Exhaustive | 5 | 0 | 0 | 2 | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanhf16 | Exhaustive | 2 | 0 | 0 | | 1 |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanpif | Exhaustive | 6 | 0 | 0 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+| tanpif16 | Exhaustive | 2 | 1 | 1 | | |
++------------------------+-------------+---------------+--------------------+--------------------+--------------------+--------------------+
+
+Notes:
+
+* Test methods:
+ - Exhaustive: Every representable point in the input space is tested. This method is used for half-precision functions and single-precision univariate functions.
+ - Randomized: A large, deterministic subset of the input space is tested, typically using 2\ :sup:`32` samples. This method is used for functions with larger input spaces, such as single-precision bivariate and double-precision functions.
+* ULP tolerances are based on *The Khronos Group, The OpenCL C Specification v3.0.19, Sec. 7.4, Khronos Registry [July 10, 2025]*.
+* The AMD GPU used for testing is AMD Radeon RX 6950 XT.
+* The NVIDIA GPU used for testing is NVIDIA RTX 4000 SFF Ada Generation.
Performance
===========
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