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