/*************************************************************************************************** * Copyright (c) 2017-2018, NVIDIA CORPORATION. All rights reserved. * * Redistribution and use in source and binary forms, with or without modification, are permitted * provided that the following conditions are met: * * Redistributions of source code must retain the above copyright notice, this list of * conditions and the following disclaimer. * * 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. * * Neither the name of the NVIDIA CORPORATION 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 NVIDIA CORPORATION 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 TOR (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 Defines multiply-add operations on fragments within a thread. */ #pragma once #include namespace cutlass { namespace gemm { //////////////////////////////////////////////////////////////////////////////////////////////////// template struct FragmentMultiplyAdd { /// The shape of the instruction. typedef Shape<1, 1, 1, 1> InstructionShape; /// The type for A. typedef Scalar_ ScalarA; /// The type for B. typedef Scalar_ ScalarB; /// The type for C and D. typedef Scalar_ ScalarC; /// Ctor. CUTLASS_DEVICE FragmentMultiplyAdd() {} /// Multiply : d = a*b. template CUTLASS_DEVICE void multiply(Scalar_ a, FragmentB_ const& b, FragmentCd_& d) { int const kReduction = FragmentB_::kElements / FragmentCd_::kElements; for (int j = 0; j < FragmentCd_::kElements; ++j) { d[j] = a * b[j * kReduction + 0]; for (int k = 1; k < kReduction; ++k) { d[j] += a * b[j * kReduction + k]; } } } /// Multiply : d = a*b + c. template CUTLASS_DEVICE void multiply_add(Scalar_ a, FragmentB_ const& b, FragmentCd_ const& c, FragmentCd_& d) { int const kReduction = FragmentB_::kElements / FragmentCd_::kElements; for (int j = 0; j < FragmentCd_::kElements; ++j) { d[j] = a * b[j * kReduction + 0] + c[j]; for (int k = 1; k < kReduction; ++k) { d[j] += a * b[j * kReduction + k]; } } } }; //////////////////////////////////////////////////////////////////////////////////////////////////// #if !defined(__CUDACC_RTC__) || defined(CUTLASS_NVRTC_HAS_FP16) template <> struct FragmentMultiplyAdd { /// The shape of the instruction. typedef Shape<1, 1, 2, 1> InstructionShape; /// The type for A. typedef half ScalarA; /// The type for B. typedef half ScalarB; /// The type for C and D. typedef half ScalarC; /// Ctor. CUTLASS_DEVICE FragmentMultiplyAdd() {} /// Multiply : d = a*b. template CUTLASS_DEVICE void multiply(half a, FragmentB_ const& b, FragmentCd_& d) { #if defined(__CUDACC__) && __CUDA_ARCH__ >= 530 // Assemble a half2 from a. __half2 const a_half2 = __half2half2(a); // The input. __half2 const* b_half2 = reinterpret_cast<__half2 const*>(&b[0]); // The output. __half2* d_half2 = reinterpret_cast<__half2*>(&d[0]); int const kReduction = FragmentB_::kElements / FragmentCd_::kElements; for (int j = 0; j < FragmentCd_::kElements / 2; ++j) { d_half2[j] = __hmul2(a_half2, b_half2[j * kReduction + 0]); for (int k = 1; k < kReduction; ++k) { d_half2[j] = __hfma2(a_half2, b_half2[j * kReduction + k], d_half2[j]); } } #endif } /// Multiply : d = a*b + c. template CUTLASS_DEVICE void multiply_add(half a, FragmentB_ const& b, FragmentCd_ const& c, FragmentCd_& d) { #if defined(__CUDACC__) && __CUDA_ARCH__ >= 530 // Assemble a half2 from a. __half2 const a_half2 = __half2half2(a); // The inputs. __half2 const* b_half2 = reinterpret_cast<__half2 const*>(&b[0]); __half2 const* c_half2 = reinterpret_cast<__half2 const*>(&c[0]); // The output. __half2* d_half2 = reinterpret_cast<__half2*>(&d[0]); int const kReduction = (FragmentB_::kElements / FragmentCd_::kElements); for (int j = 0; j < FragmentCd_::kElements / 2; ++j) { d_half2[j] = __hfma2(a_half2, b_half2[j * kReduction + 0], c_half2[j]); for (int k = 1; k < kReduction; ++k) { d_half2[j] = __hfma2(a_half2, b_half2[j * kReduction + k], d_half2[j]); } } #endif } }; #endif //////////////////////////////////////////////////////////////////////////////////////////////////// } // namespace gemm } // namespace cutlass