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+/***************************************************************************************************
+ * 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 the epilogue phase of the GEMM computation for IGEMM, supporting integer and
+ floating-point output matrix formats.
+*/
+#pragma once
+
+#include <cutlass/convert.h>
+#include <cutlass/fragment.h>
+#include <cutlass/gemm/gemm_global_stream.h>
+#include <cutlass/gemm/gemm_shared_stream.h>
+#include <cutlass/gemm/igemm_global_tile.h>
+#include <cutlass/reshape_tile.h>
+#include <cutlass/tile_iterator.h>
+
+namespace cutlass {
+namespace gemm {
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <int kElements_>
+struct IgemmFloatToInt8Converter {
+ /// The input fragment.
+ typedef Fragment<float, kElements_> InputFragment;
+ /// The output fragment.
+ typedef Fragment<int8_t, kElements_> OutputFragment;
+
+ // We are packing 4 floats into int32 registers so we need kElements to be multiple of 4.
+ static_assert(kElements_ % 4 == 0, "kElements must be multiple of 4");
+
+ /// Ctor.
+ CUTLASS_DEVICE IgemmFloatToInt8Converter() {}
+
+ /// Transform a fragment.
+ CUTLASS_DEVICE void transform(InputFragment const& src, OutputFragment& dst) {
+ transform(src, 0, dst);
+ }
+
+ /// Transform a fragment.
+ template <typename Fragment_>
+ CUTLASS_DEVICE void transform(Fragment_ const& src, int offset, OutputFragment& dst) {
+ // The inputs.
+ float4 const* src_f4 = reinterpret_cast<float4 const*>(&src[0]);
+ // The outputs.
+ int* dst_int = reinterpret_cast<int*>(&dst[0]);
+
+ // Iterate over the floats and pack them together to produce ints.
+ for (int i = 0; i < kElements_ / 4; ++i) {
+ // Read the float4.
+ float4 f4 = src_f4[i];
+
+ // Clamp the 4 elements of the floats to the [-128, +127] range.
+ float x = fmaxf(-128.f, fminf(127.f, f4.x));
+ float y = fmaxf(-128.f, fminf(127.f, f4.y));
+ float z = fmaxf(-128.f, fminf(127.f, f4.z));
+ float w = fmaxf(-128.f, fminf(127.f, f4.w));
+
+ // Convert to integers.
+ int ix = (int)x;
+ int iy = (int)y;
+ int iz = (int)z;
+ int iw = (int)w;
+
+ // Extract the lower bytes to build an int32 with 4 int8.
+ asm volatile("prmt.b32 %0, %0, %1, 0x1140;" : "+r"(ix) : "r"(iy));
+ asm volatile("prmt.b32 %0, %0, %1, 0x1140;" : "+r"(iz) : "r"(iw));
+ asm volatile("prmt.b32 %0, %0, %1, 0x5410;" : "+r"(ix) : "r"(iz));
+
+ // Store the int.
+ dst_int[i] = ix;
+ }
+ }
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename InputScalar_, typename OutputFragment_>
+struct IgemmGlobalStoreTransformer {
+ typedef Convert<Fragment<InputScalar_, OutputFragment_::kElements>, OutputFragment_> Transformer;
+};
+
+template <int kElements_>
+struct IgemmGlobalStoreTransformer<float, Fragment<int8_t, kElements_> > {
+ typedef IgemmFloatToInt8Converter<kElements_> Transformer;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <int kElements_>
+struct IgemmInt8ToFloatConverter {
+ /// The input fragment.
+ typedef Fragment<int8_t, kElements_> InputFragment;
+ /// The output fragment.
+ typedef Fragment<float, kElements_> OutputFragment;
+
+ // We are unpacking 4 int8s from int32.
+ static_assert(kElements_ % 4 == 0, "kElements must be multiple of 4");
+
+ /// Ctor.
+ CUTLASS_DEVICE IgemmInt8ToFloatConverter() {}
+
+ /// Transform a fragment.
+ CUTLASS_DEVICE void transform(InputFragment const& src, OutputFragment& dst) {
+ transform(src, 0, dst);
+ }
+
+ /// Transform a fragment.
+ template <typename Fragment_>
+ CUTLASS_DEVICE void transform(Fragment_ const& src, int offset, OutputFragment& dst) {
+ // The inputs.
+ int const* src_int = reinterpret_cast<int const*>(&src[0]);
+ // The outputs.
+ float4* dst_f4 = reinterpret_cast<float4*>(&dst[0]);
+
+ // Iterate over the int8 and unpack them together to produce floats.
+ for (int i = 0; i < kElements_ / 4; ++i) {
+ // Read the int.
+ int ix, iy, iz, iw = src_int[i];
+
+ // Extract the 4 bytes.
+ asm volatile("prmt.b32 %0, 0x0, %1, 0x4440;" : "=r"(ix) : "r"(iw));
+ asm volatile("prmt.b32 %0, 0x0, %1, 0x4441;" : "=r"(iy) : "r"(iw));
+ asm volatile("prmt.b32 %0, 0x0, %1, 0x4442;" : "=r"(iz) : "r"(iw));
+ asm volatile("prmt.b32 %0, 0x0, %1, 0x4443;" : "=r"(iw) : "r"(iw));
+
+ // The floats.
+ float fx, fy, fz, fw;
+
+ // Convert to floats (make sure we generate I2F.F32.S8).
+ asm volatile("cvt.rn.f32.s8 %0, %1;" : "=f"(fx) : "r"(ix));
+ asm volatile("cvt.rn.f32.s8 %0, %1;" : "=f"(fy) : "r"(iy));
+ asm volatile("cvt.rn.f32.s8 %0, %1;" : "=f"(fz) : "r"(iz));
+ asm volatile("cvt.rn.f32.s8 %0, %1;" : "=f"(fw) : "r"(iw));
+
+ // Store the float4.
+ dst_f4[i] = make_float4(fx, fy, fz, fw);
+ }
+ }
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename InputFragment_, typename OutputScalar_>
+struct IgemmGlobalLoadTransformer {
+ typedef Convert<InputFragment_, Fragment<OutputScalar_, InputFragment_::kElements> > Transformer;
+};
+
+template <int kElements_>
+struct IgemmGlobalLoadTransformer<Fragment<int8_t, kElements_>, float> {
+ typedef IgemmInt8ToFloatConverter<kElements_> Transformer;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename InputScalar_, typename OutputFragment_>
+struct IgemmSharedStoreTransformer {
+ typedef Convert<Fragment<InputScalar_, OutputFragment_::kElements>, OutputFragment_> Transformer;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename IgemmConfig_, typename EpilogueFunctor_, typename Index_>
+struct IgemmEpilogueTraitsHelper
+ : public GemmEpilogueTraitsHelper<IgemmConfig_, EpilogueFunctor_, Index_> {
+ /// The base class.
+ typedef GemmEpilogueTraitsHelper<IgemmConfig_, EpilogueFunctor_, Index_> Base;
+ /// The config.
+ typedef IgemmConfig_ IgemmConfig;
+
+ /// The scalar type of the epilogue.
+ typedef typename Base::Scalar Scalar;
+ /// The iterations.
+ typedef typename Base::Iterations Iterations;
+ /// The iterations strides.
+ typedef typename Base::Delta Delta;
+
+ /// The traits class for the iterator.
+ typedef typename Base::GlobalLoadTileTraits GlobalLoadTileTraits;
+ /// The iterator to store to shared memory.
+ typedef GemmGlobalIteratorCd<GlobalLoadTileTraits> GlobalLoadIteratorC;
+ /// The fragment that needs to be produced by the load iterator.
+ typedef typename GlobalLoadIteratorC::Fragment GlobalFragmentC;
+ /// The transformer from loaded data to math fragment.
+ typedef
+ typename IgemmGlobalLoadTransformer<GlobalFragmentC, Scalar>::Transformer GlobalTransformerC;
+
+ /// The traits class for the iterator.
+ typedef typename Base::GlobalStoreTileTraits GlobalStoreTileTraits;
+ /// The iterator to store to shared memory.
+ typedef GemmGlobalIteratorCd<GlobalStoreTileTraits> GlobalStoreIteratorD;
+ /// The fragment that needs to be passed to that store iterator.
+ typedef typename GlobalStoreIteratorD::Fragment GlobalFragmentD;
+ /// The transformer from accumulators to shared memory fragments.
+ typedef
+ typename IgemmGlobalStoreTransformer<Scalar, GlobalFragmentD>::Transformer GlobalTransformerD;
+
+ /// The traits class for the shared iterator to store D to shared memory.
+ typedef typename Base::SharedStoreTileTraits SharedStoreTileTraits;
+ /// The shared iterator to store D to shared memory.
+ typedef TileStoreIterator<SharedStoreTileTraits,
+ typename SharedStoreTileTraits::Scalar,
+ IteratorAdvance::kH,
+ MemorySpace::kGlobal>
+ SharedStoreIteratorD;
+ /// The fragment that needs to be passed to that store iterator.
+ typedef typename SharedStoreIteratorD::Fragment SharedStoreFragmentD;
+ /// The transformer from accumulators to shared memory fragments.
+ typedef typename IgemmSharedStoreTransformer<typename IgemmConfig::Accumulators::Element,
+ SharedStoreFragmentD>::Transformer
+ SharedStoreTransformerD;
+ /// The traits class for the shared iterator to load D from shared memory.
+ typedef typename Base::SharedLoadTileTraits SharedLoadTileTraits;
+ /// The shared iterator to load D from shared memory.
+ typedef TileLoadIterator<SharedLoadTileTraits,
+ typename SharedLoadTileTraits::Scalar,
+ IteratorAdvance::kH,
+ MemorySpace::kShared>
+ SharedLoadIteratorD;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <
+ /// The config.
+ typename IgemmConfig_,
+ /// The functor to do the math in the epilogue.
+ typename EpilogueFunctor_,
+ /// The index.
+ typename Index_ = int,
+ /// The helper class to assemble the traits.
+ typename Helper_ = IgemmEpilogueTraitsHelper<IgemmConfig_, EpilogueFunctor_, Index_> >
+struct IgemmEpilogueTraits : public GemmEpilogueTraits<
+ // The output tile.
+ typename IgemmConfig_::OutputTile,
+ // The accumulators.
+ typename IgemmConfig_::Accumulators,
+ // The global iterator for C.
+ typename Helper_::GlobalLoadIteratorC,
+ // The transformer for C.
+ typename Helper_::GlobalTransformerC,
+ // The transformer for D.
+ typename Helper_::GlobalTransformerD,
+ // The global iterator for D.
+ typename Helper_::GlobalStoreIteratorD,
+ // The iterator to store D to shared memory.
+ typename Helper_::SharedStoreIteratorD,
+ // The shared store transformer for D.
+ typename Helper_::SharedStoreTransformerD,
+ // The iterator to load D from shared memory.
+ typename Helper_::SharedLoadIteratorD,
+ // The iterations.
+ typename Helper_::Iterations,
+ // The strides between iterations.
+ typename Helper_::Delta,
+ // The functor to be used in the epilogue.
+ EpilogueFunctor_,
+ // The index.
+ Index_> {
+ /// Do we output in int8?
+ static bool const kInt8Output =
+ platform::is_same<typename IgemmConfig_::ScalarC, int8_t>::value != 0;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename GemmEpilogueTraits_, bool = GemmEpilogueTraits_::kInt8Output>
+struct IgemmEpilogue : public GemmEpilogue<GemmEpilogueTraits_> {
+ /// The base class.
+ typedef GemmEpilogue<GemmEpilogueTraits_> Base;
+
+ /// Ctor.
+ CUTLASS_DEVICE IgemmEpilogue(typename Base::Params const& params_,
+ typename Base::SharedStorage& shared_storage_,
+ typename Base::Index m_,
+ typename Base::Index n_)
+ : Base(params_, shared_storage_, m_, n_) {}
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename GemmEpilogueTraits_>
+struct IgemmEpilogue<GemmEpilogueTraits_, true> : public GemmEpilogue<GemmEpilogueTraits_> {
+ /// The base class.
+ typedef GemmEpilogue<GemmEpilogueTraits_> Base;
+
+ /// Ctor.
+ CUTLASS_DEVICE IgemmEpilogue(typename Base::Params const& params_,
+ typename Base::SharedStorage& shared_storage_,
+ typename Base::Index m_,
+ typename Base::Index n_)
+ : Base(params_, shared_storage_, m_, n_) {}
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+} // namespace gemm
+} // namespace cutlass