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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 Host-side implementation of useful operations
-*/
-
-#pragma once
-
-#include <cutlass/cutlass.h>
-#include <cutlass/tensor_view.h>
-#include <type_traits.h>
-
-namespace cutlass {
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename SrcType, typename DstType>
-struct Cast {
- static inline DstType apply(SrcType src) { return static_cast<DstType>(src); };
-};
-
-template <>
-struct Cast<float, int8_t> {
- static inline int8_t apply(float src) {
- return static_cast<int8_t>(fmaxf(-128.f, fminf(127.f, src)));
- };
-};
-
-template <>
-struct Cast<float, uint8_t> {
- static inline uint8_t apply(float src) {
- return static_cast<uint8_t>(fmaxf(0.f, fminf(255.f, src)));
- };
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename T>
-class HostTensorView : public TensorView<T> {
- public:
- /// Base class
- typedef TensorView<T> TensorView_t;
-
- /// Convention: depth is the first dimension
- static int const Dim_D = 0;
-
- /// Convention: height is the second dimension
- static int const Dim_H = 1;
-
- /// Convention: width is the third dimension
- static int const Dim_W = 2;
-
- /// Convention: channel is the second dimension
- static int const Dim_C = 3;
-
- /// Rank of tensor
- static int const Rank = TensorView_t::Rank;
-
- /// Type used to compute the offset of an element to the base of a tensor
- typedef typename TensorView_t::Offset_t Offset_t;
-
- /// Reference and stride
- typedef typename TensorView_t::TensorRef_t TensorRef_t;
-
- /// Coordinate into tensor
- typedef typename TensorView_t::Coord_t Coord_t;
-
- public:
- //
- // Device and Host Methods
- //
-
- /// Default constructor
- HostTensorView() {}
-
- /// Constructs a Tensor_view from a TensorRef and size
- HostTensorView(TensorRef_t const& _ref, Coord_t const& _size) : TensorView_t(_ref, _size) {}
-
- /// Accesses the size
- Coord_t const& size() const { return TensorView_t::size(); }
-
- /// Accesses the size of a specified dimension
- int size(int dim) const { return size().at(dim); }
-
- /// Accesses the stride
- Coord_t const& stride() const { return TensorView_t::stride(); }
-
- /// Accesses the stride along a specified dimension
- int stride(int dim) const { return stride().at(dim); }
-
- /// Returns the number of scalar elements needed to store tensor
- size_t capacity() const { return size(3) * stride(3) * stride(2) * stride(1) * stride(0); }
-
- /// Returns true if the Tensor_view is bound to some memory
- bool good() const { return TensorView_t::good(); }
-
- /// Updates the reference and size of a TensorView object
- void reset(TensorRef_t const& _ref = TensorRef_t(0), Coord_t const& _size = Coord_t()) {
- return TensorView_t::reset(_ref, _size);
- }
-
- /// Accesses the tensor reference pointing to data
- TensorRef_t& ref() { return TensorView_t::ref(); }
-
- /// Accesses the tensor reference pointing to data
- TensorRef_t const& ref() const { return TensorView_t::ref(); }
-
- /// Assigns a tensor view
- HostTensorView& operator=(TensorView_t const& _tensor) {
- reset(_tensor.ref(), _tensor.size());
- return *this;
- }
-
- /// Returns the index of an element
- Offset_t offset(Coord_t const& coord) const { return TensorView_t::offset(coord); }
-
- /// Determines whether a location is within a tensor
- bool contains(Coord_t const& coord) const { return TensorView_t::contains(coord); }
-
- /// Element-wise accessor
- T& at(Coord_t const& coord) const { return TensorView_t::at(coord); }
-
- /// Element-wise accessor
- T& operator[](Coord_t const& coord) const { return at(coord); }
-
- /// Accesses an element with a raw offset
- T& at(int idx) const { return TensorView_t::at(idx); }
-
- /// Accesses an element with a raw offset
- T& operator[](int idx) const { return at(idx); }
-
- /// Returns a Tensor_view given location and size quantities
- TensorView_t subview(Coord_t const& location, Coord_t size) const {
- return TensorView_t::subview(location, size);
- }
-
- /// Recurses through all dimensions and applies a unary operation in place
- template <typename F>
- void elementwise_in_place(F& op, int dim = 0, Offset_t dst_offset_base = 0) {
- Offset_t dst_offset = dst_offset_base;
-
- for (int idx = 0; idx < size(dim); ++idx, dst_offset += stride(dim)) {
- if (dim < Rank - 1) {
- elementwise_in_place(op, dim + 1, dst_offset);
- } else {
- op(ref().data()[dst_offset]);
- }
- }
- }
-
- /// Recurses through all dimensions and applies a unary operator with no arguments
- template <typename F>
- void elementwise_stream(F& op, int dim = 0, Offset_t dst_offset_base = 0) {
- Offset_t dst_offset = dst_offset_base;
-
- for (int idx = 0; idx < size(dim); ++idx, dst_offset += stride(dim)) {
- if (dim < Rank - 1) {
- elementwise_stream(op, dim + 1, dst_offset);
- } else {
- ref().data()[dst_offset] = op();
- }
- }
- }
-
- /// Recurses through all dimensions and applies a unary operator, supplying the logical
- /// coordinate within the tensor as an argument
- template <typename F>
- void elementwise_generate(F& op,
- int dim = 0,
- Offset_t dst_offset_base = 0,
- Coord_t coord = Coord_t(0)) {
- Offset_t dst_offset = dst_offset_base;
-
- for (int idx = 0; idx < size(dim); ++idx, dst_offset += stride(dim)) {
- coord.at(dim) = idx;
-
- if (dim < Rank - 1) {
- elementwise_generate(op, dim + 1, dst_offset, coord);
- } else {
- ref().data()[dst_offset] = op(coord);
- }
- }
- }
-
- /// Recurses through all dimensions and applies a unary operator, supplying the logical
- /// coordinate within the tensor as an argument
- template <typename F>
- void elementwise_visit(F& op,
- int dim = 0,
- Offset_t dst_offset_base = 0,
- Coord_t coord = Coord_t(0)) const {
- Offset_t dst_offset = dst_offset_base;
-
- for (int idx = 0; idx < size(dim); ++idx, dst_offset += stride(dim)) {
- coord.at(dim) = idx;
-
- if (dim < Rank - 1) {
- elementwise_visit(op, dim + 1, dst_offset, coord);
- } else {
- op(ref().data()[dst_offset], coord);
- }
- }
- }
-
- /// Recurses through all dimensions and applies a binary operation
- template <typename Src, typename F>
- bool elementwise_in_place(F& op,
- TensorView<Src> const& tensor,
- int dim = 0,
- Offset_t dst_offset_base = 0,
- Offset_t src_offset_base = 0) {
- Offset_t dst_offset = dst_offset_base;
- Offset_t src_offset = src_offset_base;
-
- if (size().at(dim) != tensor.size().at(dim)) {
- return false;
- }
-
- for (int idx = 0; idx < size(dim);
- ++idx, dst_offset += stride(dim), src_offset += tensor.stride(dim)) {
- if (dim < Rank - 1) {
- elementwise_in_place(op, tensor, dim + 1, dst_offset, src_offset);
- } else {
- op(data()[dst_offset], tensor.data()[src_offset]);
- }
- }
-
- return true;
- }
-
- template <typename Src>
- struct LambdaBinaryAddition {
- void operator()(T& a, Src b) const { a += T(b); }
- };
-
- template <typename Src>
- struct LambdaBinarySubtraction {
- void operator()(T& a, Src b) const { a -= T(b); }
- };
-
- template <typename Src>
- struct LambdaBinaryMultiplication {
- void operator()(T& a, Src b) const { a *= T(b); }
- };
-
- template <typename Src>
- struct LambdaBinaryDivision {
- void operator()(T& a, Src b) const { a /= T(b); }
- };
-
- /// Accumulate in place
- template <typename Src>
- TensorView<T>& operator+=(TensorView<Src> const& tensor) {
- LambdaBinaryAddition<Src> op;
- elementwise_in_place(op, tensor);
-
- return *this;
- }
-
- /// Subtract in place
- template <typename Src>
- TensorView<T>& operator-=(TensorView<Src> const& tensor) {
- LambdaBinarySubtraction<Src> op;
- elementwise_in_place(op, tensor);
-
- return *this;
- }
-
- /// Multiply in place
- template <typename Src>
- TensorView<T>& operator*=(TensorView<Src> const& tensor) {
- LambdaBinaryMultiplication<Src> op;
- elementwise_in_place(op, tensor);
-
- return *this;
- }
-
- /// Divide in place
- template <typename Src>
- TensorView<T>& operator/=(TensorView<Src> const& tensor) {
- LambdaBinaryDivision<Src> op;
- elementwise_in_place(op, tensor);
-
- return *this;
- }
-
- /// Comparison operator
- struct EqualsOperator {
- bool equal;
- T eps;
-
- EqualsOperator(T _epsilon) : equal(true), eps(_epsilon) {}
-
- void operator()(T a, T b) {
- if (std::abs(T(a - b)) > eps * std::max(std::abs(a), std::abs(b))) {
- equal = false;
- }
- }
- };
-
- /// equality with epsilon tolerance
- bool equals(TensorView<T> const& tensor, T epsilon) const {
- EqualsOperator comparison_op(epsilon);
- bool equal_size = elementwise_in_place(comparison_op, tensor);
-
- return equal_size && comparison_op.equal;
- }
-
- /// Compares two values which are smaller or equal to a long long int
- struct BitEqualsOperator {
- bool equal;
- long long eps;
- uint64_t index;
-
- BitEqualsOperator(long long _ulps_threshold) : equal(true), eps(_ulps_threshold), index(0) {}
-
- void operator()(T a, T b) {
- // convert bits to integers
- long long bits_a = 0;
- long long bits_b = 0;
-
- *reinterpret_cast<T*>(&bits_a) = TypeTraits<T>::remove_negative_zero(a);
- *reinterpret_cast<T*>(&bits_b) = TypeTraits<T>::remove_negative_zero(b);
-
- // compute diff
- long long ulps = bits_a - bits_b;
- if (std::abs(ulps) > eps) {
- equal = false;
- }
- index++;
- }
- };
-
- /// equality with ulps tolerance
- bool bit_equals(TensorView<T> const& tensor, long long ulps_threshold = 0) {
- BitEqualsOperator comparison_op(ulps_threshold);
- bool equal_size = elementwise_in_place(comparison_op, tensor);
-
- return equal_size && comparison_op.equal;
- }
-
- /// Gets naked pointer to data
- T* data() const { return TensorView_t::data(); }
-
- /// Computes general matrix product among select dimensions of a tensor
- /// Assumes:
- /// D: number of independent GEMMs to compute
- /// H: height of matrix
- /// W: width of matrix
- /// C: "channels" of each element
- template <typename A, typename B, typename Ctype, typename Stype>
- void gemm(TensorView<A> const& tensor_a, TensorView<B> const& tensor_b, Stype alpha, Stype beta) {
- int const Batch = size(Dim_D);
- int const M = size(Dim_H);
- int const N = size(Dim_W);
- int const K = tensor_a.size(Dim_W);
- int const C = tensor_a.size(Dim_C);
-
- // Sizes must match
- if (tensor_a.size(Dim_H) != M || tensor_b.size(Dim_W) != N || tensor_b.size(Dim_C) != C ||
- tensor_b.size(Dim_H) != K) {
- return;
- }
-
- int const Mblock = 32;
- int const Nblock = 32;
-
- for (int batch = 0; batch < Batch; ++batch) {
- for (int row_block = 0; row_block < M; row_block += Mblock) {
- for (int col_block = 0; col_block < N; col_block += Nblock) {
- Ctype accum[Mblock][Nblock];
-
- for (int j = 0; j < Nblock; j++) {
- for (int i = 0; i < Mblock; i++) {
- accum[i][j] = Ctype(0);
- }
- }
-
- for (int k_block = 0; k_block < K; ++k_block) {
- for (int j = 0; j < Nblock; j++) {
- for (int i = 0; i < Mblock; i++) {
- int row = row_block + i;
- int col = col_block + j;
-
- if (row < M && col < N) {
- for (int channel = 0; channel < C; ++channel) {
- Ctype a(tensor_a.at(make_Coord(batch, row, k_block, channel)));
- Ctype b(tensor_b.at(make_Coord(batch, k_block, col, channel)));
-
- accum[i][j] += a * b;
- }
- }
- }
- }
- }
-
- for (int j = 0; j < Nblock; j++) {
- for (int i = 0; i < Mblock; i++) {
- int row = row_block + i;
- int col = col_block + j;
-
- Coord_t coord = make_Coord(batch, row, col, 0);
- if (row < M && col < N) {
- at(coord) =
- Cast<Stype, T>::apply(alpha * Stype(accum[i][j]) + beta * Stype(at(coord)));
- }
- }
- }
- }
- }
- }
- }
-
- /// Fills with random data
- template <typename Gen>
- void fill_random(Gen generator) {
- elementwise_stream(generator);
- }
-
- /// Procedurally assigns elements
- template <typename Gen>
- void generate(Gen generator) {
- elementwise_generate(generator);
- }
-
- /// Procedurally visits elements
- template <typename Gen>
- void visit(Gen& generator) const {
- elementwise_visit(generator);
- }
-
- /// Generator to fill a tensor with the identity matrix
- struct LambdaFillIdentity {
- T operator()(Coord_t const& coord) { return (coord.at(1) == coord.at(2) ? T(1) : T(0)); }
- };
-
- /// initializes with identity
- void fill_identity() {
- LambdaFillIdentity op;
- elementwise_generate(op);
- }
-
- /// Lambda for fill_linear()
- struct LambdaFillLinear {
- Coord_t v_;
- T offset_;
-
- LambdaFillLinear(Coord_t const& _v, T _offset) : v_(_v), offset_(_offset) {}
-
- T operator()(Coord_t const& coord) { return T(v_.template dot<int>(coord)) + offset_; }
- };
-
- /// computes elements as a linear combination of their coordinates
- void fill_linear(Coord_t v, T offset = T(0)) {
- LambdaFillLinear lambda(v, offset);
- elementwise_generate(lambda);
- }
-
- /// computes elements as a linear combination of their coordinates
- void fill_sequential(T v = T(1), T offset = T(0)) {
- int const count = size().count();
- for (int i = 0; i < count; ++i) {
- data()[i] = T(i);
- }
- }
-
- /// Returns a constant value
- struct LambdaFillValue {
- T value;
-
- LambdaFillValue(T _value) : value(_value) {}
-
- T operator()() { return value; }
- };
-
- /// fills with a value
- void fill(T val = T(0)) {
- LambdaFillValue op(val);
- elementwise_stream(op);
- }
-
- /// Conversion from Src to T
- template <typename Src>
- struct LambdaAssign {
- void operator()(T& a, Src b) const { a = T(b); }
- };
-
- /// copies from external data source and performs type conversion
- template <typename Src>
- void fill(TensorView<Src> const& tensor) {
- LambdaAssign<Src> op;
- elementwise_in_place(op, tensor);
- }
-
- /// Computes a norm
- struct LambdaNorm {
- double sum;
-
- LambdaNorm() : sum(0) {}
-
- void operator()(T const& element) {
- double value(element);
- double conj(element); // TODO - conjugates for complex
-
- sum += value * conj;
- }
- };
-
- /// Computes the norm of the matrix in double-precision
- double norm() const {
- LambdaNorm op;
- elementwise_in_place(op);
-
- return std::sqrt(op.sum);
- }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-} // namespace cutlass