/*************************************************************************************************** * Copyright (c) 2017 - 2025 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 Matrix multiply */ #pragma once #include "cutlass/arch/mma.h" #include "cutlass/complex.h" #include "cutlass/quaternion.h" #include "cutlass/functional.h" #include "cutlass/layout/matrix.h" #include "cutlass/gemm/gemm.h" ///////////////////////////////////////////////////////////////////////////////////////////////// namespace cutlass { namespace arch { ///////////////////////////////////////////////////////////////////////////////////////////////// /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma, 1, float, LayoutA, float, LayoutB, float, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAdd; using ElementC = float; CUTLASS_HOST_DEVICE void operator()( Array &d, Array const &a, Array const &b, Array const &c ) { d[0] = a[0] * b[0] + c[0]; } }; ///////////////////////////////////////////////////////////////////////////////////////////////// /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma, 1, double, LayoutA, double, LayoutB, double, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAdd; using ElementC = double; CUTLASS_HOST_DEVICE void operator()( Array &d, Array const &a, Array const &b, Array const &c ) { d[0] = a[0] * b[0] + c[0]; } }; ///////////////////////////////////////////////////////////////////////////////////////////////// /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma, 1, int, LayoutA, int, LayoutB, int, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAdd; using ElementC = int; CUTLASS_HOST_DEVICE void operator()( Array &d, Array const &a, Array const &b, Array const &c ) { d[0] = a[0] * b[0] + c[0]; } }; ///////////////////////////////////////////////////////////////////////////////////////////////// /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma< gemm::GemmShape<1, 1, 1>, 1, complex, LayoutA, complex, LayoutB, complex, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAddComplex; using ElementC = complex; CUTLASS_HOST_DEVICE void operator()( Array, 1> &d, Array, 1> const &a, Array, 1> const &b, Array, 1> const &c ) { d[0].real() = a[0].real() * b[0].real() + c[0].real(); d[0].imag() = a[0].imag() * b[0].real() + c[0].imag(); d[0].real() = -a[0].imag() * b[0].imag() + d[0].real(); d[0].imag() = a[0].real() * b[0].imag() + d[0].imag(); } }; ///////////////////////////////////////////////////////////////////////////////////////////////// /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma< gemm::GemmShape<1, 1, 1>, 1, complex, LayoutA, float, LayoutB, complex, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAddComplex; using ElementC = complex; CUTLASS_HOST_DEVICE void operator()( Array, 1> &d, Array, 1> const &a, Array const &b, Array, 1> const &c ) { d[0].real() = a[0].real() * b[0] + c[0].real(); d[0].imag() = a[0].imag() * b[0] + c[0].imag(); } }; ///////////////////////////////////////////////////////////////////////////////////////////////// /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma< gemm::GemmShape<1, 1, 1>, 1, float, LayoutA, complex, LayoutB, complex, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAddComplex; using ElementC = complex; CUTLASS_HOST_DEVICE void operator()( Array, 1> &d, Array const &a, Array, 1> const &b, Array, 1> const &c ) { d[0].real() = a[0] * b[0].real() + c[0].real(); d[0].imag() = a[0] * b[0].imag() + d[0].imag(); } }; ///////////////////////////////////////////////////////////////////////////////////////////////// /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma< gemm::GemmShape<1, 1, 1>, 1, complex, LayoutA, complex, LayoutB, complex, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAddComplex; using ElementC = complex; CUTLASS_HOST_DEVICE void operator()( Array, 1> &d, Array, 1> const &a, Array, 1> const &b, Array, 1> const &c ) { d[0].real() = a[0].real() * b[0].real() + c[0].real(); d[0].imag() = a[0].imag() * b[0].real() + c[0].imag(); d[0].real() = -a[0].imag() * b[0].imag() + d[0].real(); d[0].imag() = a[0].real() * b[0].imag() + d[0].imag(); } }; /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma< gemm::GemmShape<1, 1, 1>, 1, complex, LayoutA, double, LayoutB, complex, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAddComplex; using ElementC = complex; CUTLASS_HOST_DEVICE void operator()( Array, 1> &d, Array, 1> const &a, Array const &b, Array, 1> const &c ) { d[0].real() = a[0].real() * b[0] + c[0].real(); d[0].imag() = a[0].imag() * b[0] + c[0].imag(); } }; /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma< gemm::GemmShape<1, 1, 1>, 1, double, LayoutA, complex, LayoutB, complex, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAddComplex; using ElementC = complex; CUTLASS_HOST_DEVICE void operator()( Array, 1> &d, Array const &a, Array, 1> const &b, Array, 1> const &c ) { d[0].real() = a[0] * b[0].real() + c[0].real(); d[0].imag() = a[0] * b[0].imag() + d[0].imag(); } }; ///////////////////////////////////////////////////////////////////////////////////////////////// /// Matrix multiply-add operation template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma, 1, half_t, LayoutA, half_t, LayoutB, float, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAdd; using ElementC = float; CUTLASS_HOST_DEVICE void operator()( Array &d, Array const &a, Array const &b, Array const &c ) { d[0] = float(a[0]) * float(b[0]) + c[0]; } }; ///////////////////////////////////////////////////////////////////////////////////////////////// /// Matrix multiply-add operation for Quaternions template < /// Layout of A matrix typename LayoutA, /// Layout of B matrix typename LayoutB, /// Layout of C matrix typename LayoutC > struct Mma, 1, Quaternion, LayoutA, Quaternion, LayoutB, Quaternion, LayoutC, OpMultiplyAdd> { using Shape = gemm::GemmShape<1, 1, 1>; using Operator = OpMultiplyAdd; using Element = Quaternion; using ElementC = Element; CUTLASS_HOST_DEVICE void operator()( Array &d, Array const &a, Array const &b, Array const &c ) { multiply_add op; d[0] = op(a[0], b[0], c[0]); } }; } } /////////////////////////////////////////////////////////////////////////////////////////////////