220 lines
6.3 KiB
C++
220 lines
6.3 KiB
C++
/***************************************************************************************************
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* Copyright (c) 2017 - 2023 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
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* SPDX-License-Identifier: BSD-3-Clause
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions are met:
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*
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* 1. Redistributions of source code must retain the above copyright notice, this
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* list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright notice,
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* this list of conditions and the following disclaimer in the documentation
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* and/or other materials provided with the distribution.
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*
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* 3. Neither the name of the copyright holder nor the names of its
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* contributors may be used to endorse or promote products derived from
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* this software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*
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**************************************************************************************************/
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/* \file
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\brief Performs comparison between two elements with support for floating-point comparisons.
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*/
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#pragma once
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#include "numeric_types.h"
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namespace cutlass {
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/////////////////////////////////////////////////////////////////////////////////////////////////
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template <typename T>
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CUTLASS_HOST_DEVICE
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bool relatively_equal(T a, T b, T epsilon, T nonzero_floor);
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/////////////////////////////////////////////////////////////////////////////////////////////////
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namespace detail {
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// This floating-point comparison function implements the method described in
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//
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// https://floating-point-gui.de/errors/comparison/
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//
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template <typename T>
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CUTLASS_HOST_DEVICE
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bool relatively_equal_float(T a, T b, T epsilon, T nonzero_floor) {
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#if defined(__CUDACC_RTC__)
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using cuda::std::abs;
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#else
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using std::abs;
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#endif
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T abs_A = abs(a);
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T abs_B = abs(b);
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T diff = abs(a - b);
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T zero = T(0);
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if (a == b) {
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return true;
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}
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else if (a == zero || b == zero || diff < nonzero_floor) {
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return diff < epsilon * nonzero_floor;
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}
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return diff < epsilon * (abs_A + abs_B);
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}
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} // namespace detail
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/////////////////////////////////////////////////////////////////////////////////////////////////
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<uint1b_t>(uint1b_t a, uint1b_t b, uint1b_t, uint1b_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<int2b_t>(int2b_t a, int2b_t b, int2b_t, int2b_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<uint2b_t>(uint2b_t a, uint2b_t b, uint2b_t, uint2b_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<int4b_t>(int4b_t a, int4b_t b, int4b_t, int4b_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<uint4b_t>(uint4b_t a, uint4b_t b, uint4b_t, uint4b_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<int8_t>(int8_t a, int8_t b, int8_t, int8_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<uint8_t>(uint8_t a, uint8_t b, uint8_t, uint8_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<int16_t>(int16_t a, int16_t b, int16_t, int16_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<uint16_t>(uint16_t a, uint16_t b, uint16_t, uint16_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<int32_t>(int32_t a, int32_t b, int32_t, int32_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<uint32_t>(uint32_t a, uint32_t b, uint32_t, uint32_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<int64_t>(int64_t a, int64_t b, int64_t, int64_t) {
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return (a == b);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<uint64_t>(uint64_t a, uint64_t b, uint64_t, uint64_t) {
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return (a == b);
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}
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/////////////////////////////////////////////////////////////////////////////////////////////////
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<float_e4m3_t>(float_e4m3_t a, float_e4m3_t b, float_e4m3_t epsilon, float_e4m3_t nonzero_floor) {
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return detail::relatively_equal_float<float>(a, b, epsilon, nonzero_floor);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<float_e5m2_t>(float_e5m2_t a, float_e5m2_t b, float_e5m2_t epsilon, float_e5m2_t nonzero_floor) {
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return detail::relatively_equal_float<float>(a, b, epsilon, nonzero_floor);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<half_t>(half_t a, half_t b, half_t epsilon, half_t nonzero_floor) {
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return detail::relatively_equal_float(a, b, epsilon, nonzero_floor);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<bfloat16_t>(
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bfloat16_t a,
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bfloat16_t b,
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bfloat16_t epsilon,
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bfloat16_t nonzero_floor) {
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return detail::relatively_equal_float(a, b, epsilon, nonzero_floor);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<tfloat32_t>(
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tfloat32_t a,
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tfloat32_t b,
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tfloat32_t epsilon,
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tfloat32_t nonzero_floor) {
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return detail::relatively_equal_float(a, b, epsilon, nonzero_floor);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<float>(float a, float b, float epsilon, float nonzero_floor) {
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return detail::relatively_equal_float(a, b, epsilon, nonzero_floor);
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}
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template <>
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CUTLASS_HOST_DEVICE
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bool relatively_equal<double>(double a, double b, double epsilon, double nonzero_floor) {
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return detail::relatively_equal_float(a, b, epsilon, nonzero_floor);
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}
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/////////////////////////////////////////////////////////////////////////////////////////////////
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} // namespace cutlass
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