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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2014 Benoit Steiner <benoit.steiner.goog@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_CXX11_TENSOR_TENSOR_CONTRACTION_H
+#define EIGEN_CXX11_TENSOR_TENSOR_CONTRACTION_H
+
+namespace Eigen {
+
+/** \class TensorContraction
+ * \ingroup CXX11_Tensor_Module
+ *
+ * \brief Tensor contraction class.
+ *
+ *
+ */
+namespace internal {
+
+template<typename Dimensions, typename LhsXprType, typename RhsXprType>
+struct traits<TensorContractionOp<Dimensions, LhsXprType, RhsXprType> >
+{
+ // Type promotion to handle the case where the types of the lhs and the rhs are different.
+ typedef typename gebp_traits<typename remove_const<typename LhsXprType::Scalar>::type,
+ typename remove_const<typename RhsXprType::Scalar>::type>::ResScalar Scalar;
+
+ typedef typename promote_storage_type<typename traits<LhsXprType>::StorageKind,
+ typename traits<RhsXprType>::StorageKind>::ret StorageKind;
+ typedef typename promote_index_type<typename traits<LhsXprType>::Index,
+ typename traits<RhsXprType>::Index>::type Index;
+ typedef typename LhsXprType::Nested LhsNested;
+ typedef typename RhsXprType::Nested RhsNested;
+ typedef typename remove_reference<LhsNested>::type _LhsNested;
+ typedef typename remove_reference<RhsNested>::type _RhsNested;
+
+ // From NumDims below.
+ static const int NumDimensions = traits<RhsXprType>::NumDimensions + traits<RhsXprType>::NumDimensions - 2 * array_size<Dimensions>::value;
+ static const int Layout = traits<LhsXprType>::Layout;
+
+ enum {
+ Flags = 0
+ };
+};
+
+template<typename Dimensions, typename LhsXprType, typename RhsXprType>
+struct eval<TensorContractionOp<Dimensions, LhsXprType, RhsXprType>, Eigen::Dense>
+{
+ typedef const TensorContractionOp<Dimensions, LhsXprType, RhsXprType>& type;
+};
+
+template<typename Dimensions, typename LhsXprType, typename RhsXprType>
+struct nested<TensorContractionOp<Dimensions, LhsXprType, RhsXprType>, 1, typename eval<TensorContractionOp<Dimensions, LhsXprType, RhsXprType> >::type>
+{
+ typedef TensorContractionOp<Dimensions, LhsXprType, RhsXprType> type;
+};
+
+template<typename Indices_, typename LeftArgType_, typename RightArgType_, typename Device_>
+struct traits<TensorEvaluator<const TensorContractionOp<Indices_, LeftArgType_, RightArgType_>, Device_> > {
+ typedef Indices_ Indices;
+ typedef LeftArgType_ LeftArgType;
+ typedef RightArgType_ RightArgType;
+ typedef Device_ Device;
+
+ // From NumDims below.
+ static const int NumDimensions = traits<LeftArgType_>::NumDimensions + traits<RightArgType_>::NumDimensions - 2 * array_size<Indices_>::value;
+};
+
+} // end namespace internal
+
+template<typename Indices, typename LhsXprType, typename RhsXprType>
+class TensorContractionOp : public TensorBase<TensorContractionOp<Indices, LhsXprType, RhsXprType>, ReadOnlyAccessors>
+{
+ public:
+ typedef typename Eigen::internal::traits<TensorContractionOp>::Scalar Scalar;
+ typedef typename internal::gebp_traits<typename LhsXprType::CoeffReturnType,
+ typename RhsXprType::CoeffReturnType>::ResScalar CoeffReturnType;
+ typedef typename Eigen::internal::nested<TensorContractionOp>::type Nested;
+ typedef typename Eigen::internal::traits<TensorContractionOp>::StorageKind StorageKind;
+ typedef typename Eigen::internal::traits<TensorContractionOp>::Index Index;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorContractionOp(
+ const LhsXprType& lhs, const RhsXprType& rhs, const Indices& dims)
+ : m_lhs_xpr(lhs), m_rhs_xpr(rhs), m_indices(dims) {}
+
+ EIGEN_DEVICE_FUNC
+ const Indices& indices() const { return m_indices; }
+
+ /** \returns the nested expressions */
+ EIGEN_DEVICE_FUNC
+ const typename internal::remove_all<typename LhsXprType::Nested>::type&
+ lhsExpression() const { return m_lhs_xpr; }
+
+ EIGEN_DEVICE_FUNC
+ const typename internal::remove_all<typename RhsXprType::Nested>::type&
+ rhsExpression() const { return m_rhs_xpr; }
+
+ protected:
+ typename LhsXprType::Nested m_lhs_xpr;
+ typename RhsXprType::Nested m_rhs_xpr;
+ const Indices m_indices;
+};
+
+
+template<typename Derived>
+struct TensorContractionEvaluatorBase
+{
+ typedef typename internal::traits<Derived>::Indices Indices;
+ typedef typename internal::traits<Derived>::LeftArgType LeftArgType;
+ typedef typename internal::traits<Derived>::RightArgType RightArgType;
+ typedef typename internal::traits<Derived>::Device Device;
+
+ typedef TensorContractionOp<Indices, LeftArgType, RightArgType> XprType;
+ typedef typename internal::remove_const<typename XprType::Scalar>::type Scalar;
+ typedef typename XprType::Index Index;
+ typedef typename XprType::CoeffReturnType CoeffReturnType;
+ typedef typename PacketType<CoeffReturnType, Device>::type PacketReturnType;
+
+ enum {
+ IsAligned = true,
+ PacketAccess = (internal::unpacket_traits<PacketReturnType>::size > 1),
+ Layout = TensorEvaluator<LeftArgType, Device>::Layout,
+ CoordAccess = false, // to be implemented
+ RawAccess = true
+ };
+
+ // Most of the code is assuming that both input tensors are ColMajor. If the
+ // inputs are RowMajor, we will "cheat" by swapping the LHS and RHS:
+ // If we want to compute A * B = C, where A is LHS and B is RHS, the code
+ // will pretend B is LHS and A is RHS.
+ typedef typename internal::conditional<
+ static_cast<int>(Layout) == static_cast<int>(ColMajor), LeftArgType, RightArgType>::type EvalLeftArgType;
+ typedef typename internal::conditional<
+ static_cast<int>(Layout) == static_cast<int>(ColMajor), RightArgType, LeftArgType>::type EvalRightArgType;
+
+ static const int LDims =
+ internal::array_size<typename TensorEvaluator<EvalLeftArgType, Device>::Dimensions>::value;
+ static const int RDims =
+ internal::array_size<typename TensorEvaluator<EvalRightArgType, Device>::Dimensions>::value;
+ static const int ContractDims = internal::array_size<Indices>::value;
+ static const int NumDims = LDims + RDims - 2 * ContractDims;
+
+ typedef array<Index, ContractDims> contract_t;
+ typedef array<Index, LDims - ContractDims> left_nocontract_t;
+ typedef array<Index, RDims - ContractDims> right_nocontract_t;
+
+ typedef DSizes<Index, NumDims> Dimensions;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ TensorContractionEvaluatorBase(const XprType& op, const Device& device)
+ : m_leftImpl(choose(Cond<static_cast<int>(Layout) == static_cast<int>(ColMajor)>(),
+ op.lhsExpression(), op.rhsExpression()), device),
+ m_rightImpl(choose(Cond<static_cast<int>(Layout) == static_cast<int>(ColMajor)>(),
+ op.rhsExpression(), op.lhsExpression()), device),
+ m_device(device),
+ m_result(NULL) {
+ EIGEN_STATIC_ASSERT((static_cast<int>(TensorEvaluator<LeftArgType, Device>::Layout) ==
+ static_cast<int>(TensorEvaluator<RightArgType, Device>::Layout)),
+ YOU_MADE_A_PROGRAMMING_MISTAKE);
+
+
+ DSizes<Index, LDims> eval_left_dims;
+ DSizes<Index, RDims> eval_right_dims;
+ array<IndexPair<Index>, ContractDims> eval_op_indices;
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ // For ColMajor, we keep using the existing dimensions
+ for (int i = 0; i < LDims; i++) {
+ eval_left_dims[i] = m_leftImpl.dimensions()[i];
+ }
+ for (int i = 0; i < RDims; i++) {
+ eval_right_dims[i] = m_rightImpl.dimensions()[i];
+ }
+ // We keep the pairs of contracting indices.
+ for (int i = 0; i < ContractDims; i++) {
+ eval_op_indices[i].first = op.indices()[i].first;
+ eval_op_indices[i].second = op.indices()[i].second;
+ }
+ } else {
+ // For RowMajor, we need to reverse the existing dimensions
+ for (int i = 0; i < LDims; i++) {
+ eval_left_dims[i] = m_leftImpl.dimensions()[LDims - i - 1];
+ }
+ for (int i = 0; i < RDims; i++) {
+ eval_right_dims[i] = m_rightImpl.dimensions()[RDims - i - 1];
+ }
+ // We need to flip all the pairs of contracting indices as well as
+ // reversing the dimensions.
+ for (int i = 0; i < ContractDims; i++) {
+ eval_op_indices[i].first = LDims - 1 - op.indices()[ContractDims - 1 - i].second;
+ eval_op_indices[i].second = RDims - 1 - op.indices()[ContractDims - 1 - i].first;
+ }
+ }
+
+ // Check for duplicate axes and make sure the first index in eval_op_indices
+ // is increasing. Using O(n^2) sorting is OK since ContractDims is small
+ for (int i = 0; i < ContractDims; i++) {
+ for (int j = i + 1; j < ContractDims; j++) {
+ eigen_assert(eval_op_indices[j].first != eval_op_indices[i].first &&
+ eval_op_indices[j].second != eval_op_indices[i].second &&
+ "contraction axes should be unique");
+ if (eval_op_indices[j].first < eval_op_indices[i].first) {
+ numext::swap(eval_op_indices[j], eval_op_indices[i]);
+ }
+ }
+ }
+
+ array<Index, LDims> lhs_strides;
+ lhs_strides[0] = 1;
+ for (int i = 0; i < LDims-1; ++i) {
+ lhs_strides[i+1] = lhs_strides[i] * eval_left_dims[i];
+ }
+
+ array<Index, RDims> rhs_strides;
+ rhs_strides[0] = 1;
+ for (int i = 0; i < RDims-1; ++i) {
+ rhs_strides[i+1] = rhs_strides[i] * eval_right_dims[i];
+ }
+
+ if (m_i_strides.size() > 0) m_i_strides[0] = 1;
+ if (m_j_strides.size() > 0) m_j_strides[0] = 1;
+ if (m_k_strides.size() > 0) m_k_strides[0] = 1;
+
+ m_i_size = 1;
+ m_j_size = 1;
+ m_k_size = 1;
+
+ // To compute the dimension, we simply concatenate the non-contracting
+ // dimensions of the left and then the right tensor. Additionally, we also
+ // compute the strides corresponding to the left non-contracting
+ // dimensions and right non-contracting dimensions.
+ m_lhs_inner_dim_contiguous = true;
+ int dim_idx = 0;
+ unsigned int nocontract_idx = 0;
+
+ for (int i = 0; i < LDims; i++) {
+ // find if we are contracting on index i of left tensor
+ bool contracting = false;
+ for (int j = 0; j < ContractDims; j++) {
+ if (eval_op_indices[j].first == i) {
+ contracting = true;
+ break;
+ }
+ }
+ if (!contracting) {
+ // add dimension size to output dimensions
+ m_dimensions[dim_idx] = eval_left_dims[i];
+ m_left_nocontract_strides[nocontract_idx] = lhs_strides[i];
+ if (dim_idx != i) {
+ m_lhs_inner_dim_contiguous = false;
+ }
+ if (nocontract_idx+1 < internal::array_size<left_nocontract_t>::value) {
+ m_i_strides[nocontract_idx+1] =
+ m_i_strides[nocontract_idx] * eval_left_dims[i];
+ } else {
+ m_i_size = m_i_strides[nocontract_idx] * eval_left_dims[i];
+ }
+ dim_idx++;
+ nocontract_idx++;
+ }
+ }
+
+ nocontract_idx = 0;
+ for (int i = 0; i < RDims; i++) {
+ bool contracting = false;
+ // find if we are contracting on index i of right tensor
+ for (int j = 0; j < ContractDims; j++) {
+ if (eval_op_indices[j].second == i) {
+ contracting = true;
+ break;
+ }
+ }
+ if (!contracting) {
+ m_dimensions[dim_idx] = eval_right_dims[i];
+ if (nocontract_idx+1 < internal::array_size<right_nocontract_t>::value) {
+ m_j_strides[nocontract_idx+1] =
+ m_j_strides[nocontract_idx] * eval_right_dims[i];
+ } else {
+ m_j_size = m_j_strides[nocontract_idx] * eval_right_dims[i];
+ }
+ m_right_nocontract_strides[nocontract_idx] = rhs_strides[i];
+ dim_idx++;
+ nocontract_idx++;
+ }
+ }
+
+ // Now compute the strides corresponding to the contracting dimensions. We
+ // assumed above that non-contracting axes are represented in the same order
+ // in the matrix as they are in the tensor. This is not the case for
+ // contracting axes. As the contracting axes must be of the same size in
+ // each tensor, we'll only look at the first tensor here.
+ m_rhs_inner_dim_contiguous = true;
+ m_rhs_inner_dim_reordered = false;
+ for (int i = 0; i < ContractDims; i++) {
+ Index left = eval_op_indices[i].first;
+ Index right = eval_op_indices[i].second;
+
+ Index size = eval_left_dims[left];
+ eigen_assert(size == eval_right_dims[right] &&
+ "Contraction axes must be same size");
+
+ if (i+1 < static_cast<int>(internal::array_size<contract_t>::value)) {
+ m_k_strides[i+1] = m_k_strides[i] * size;
+ } else {
+ m_k_size = m_k_strides[i] * size;
+ }
+ m_left_contracting_strides[i] = lhs_strides[left];
+ m_right_contracting_strides[i] = rhs_strides[right];
+
+ if (i > 0 && right < eval_op_indices[i-1].second) {
+ m_rhs_inner_dim_reordered = true;
+ }
+ if (right != i) {
+ m_rhs_inner_dim_contiguous = false;
+ }
+ }
+
+ // If the layout is RowMajor, we need to reverse the m_dimensions
+ if (static_cast<int>(Layout) == static_cast<int>(RowMajor)) {
+ for (int i = 0, j = NumDims - 1; i < j; i++, j--) {
+ numext::swap(m_dimensions[i], m_dimensions[j]);
+ }
+ }
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Dimensions& dimensions() const { return m_dimensions; }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool evalSubExprsIfNeeded(Scalar* data) {
+ m_leftImpl.evalSubExprsIfNeeded(NULL);
+ m_rightImpl.evalSubExprsIfNeeded(NULL);
+ if (data) {
+ evalTo(data);
+ return false;
+ } else {
+ m_result = static_cast<Scalar *>(m_device.allocate(dimensions().TotalSize() * sizeof(Scalar)));
+ evalTo(m_result);
+ return true;
+ }
+ }
+
+ EIGEN_DEVICE_FUNC void evalTo(Scalar* buffer) const {
+ if (this->m_lhs_inner_dim_contiguous) {
+ if (this->m_rhs_inner_dim_contiguous) {
+ if (this->m_rhs_inner_dim_reordered) {
+ static_cast<const Derived*>(this)->template evalProduct<true, true, true, Unaligned>(buffer);
+ }
+ else {
+ static_cast<const Derived*>(this)->template evalProduct<true, true, false, Unaligned>(buffer);
+ }
+ }
+ else {
+ if (this->m_rhs_inner_dim_reordered) {
+ static_cast<const Derived*>(this)->template evalProduct<true, false, true, Unaligned>(buffer);
+ }
+ else {
+ static_cast<const Derived*>(this)->template evalProduct<true, false, false, Unaligned>(buffer);
+ }
+ }
+ }
+ else {
+ if (this->m_rhs_inner_dim_contiguous) {
+ if (this->m_rhs_inner_dim_reordered) {
+ static_cast<const Derived*>(this)->template evalProduct<false, true, true, Unaligned>(buffer);
+ }
+ else {
+ static_cast<const Derived*>(this)->template evalProduct<false, true, false, Unaligned>(buffer);
+ }
+ }
+ else {
+ if (this->m_rhs_inner_dim_reordered) {
+ static_cast<const Derived*>(this)->template evalProduct<false, false, true, Unaligned>(buffer);
+ }
+ else {
+ static_cast<const Derived*>(this)->template evalProduct<false, false, false, Unaligned>(buffer);
+ }
+ }
+ }
+ }
+
+ template <bool lhs_inner_dim_contiguous, bool rhs_inner_dim_contiguous, bool rhs_inner_dim_reordered, int Alignment>
+ EIGEN_DEVICE_FUNC void evalGemv(Scalar* buffer) const {
+ const Index rows = m_i_size;
+ const Index cols = m_k_size;
+
+ typedef typename internal::remove_const<typename EvalLeftArgType::Scalar>::type LhsScalar;
+ typedef typename internal::remove_const<typename EvalRightArgType::Scalar>::type RhsScalar;
+ typedef TensorEvaluator<EvalLeftArgType, Device> LeftEvaluator;
+ typedef TensorEvaluator<EvalRightArgType, Device> RightEvaluator;
+ const Index lhs_packet_size = internal::unpacket_traits<typename LeftEvaluator::PacketReturnType>::size;
+ const Index rhs_packet_size = internal::unpacket_traits<typename RightEvaluator::PacketReturnType>::size;
+ const int lhs_alignment = LeftEvaluator::IsAligned ? Aligned : Unaligned;
+ const int rhs_alignment = RightEvaluator::IsAligned ? Aligned : Unaligned;
+ typedef internal::TensorContractionInputMapper<LhsScalar, Index, internal::Lhs,
+ LeftEvaluator, left_nocontract_t,
+ contract_t, lhs_packet_size,
+ lhs_inner_dim_contiguous,
+ false, lhs_alignment> LhsMapper;
+
+ typedef internal::TensorContractionInputMapper<RhsScalar, Index, internal::Rhs,
+ RightEvaluator, right_nocontract_t,
+ contract_t, rhs_packet_size,
+ rhs_inner_dim_contiguous,
+ rhs_inner_dim_reordered, rhs_alignment> RhsMapper;
+
+ LhsMapper lhs(m_leftImpl, m_left_nocontract_strides, m_i_strides,
+ m_left_contracting_strides, m_k_strides);
+ RhsMapper rhs(m_rightImpl, m_right_nocontract_strides, m_j_strides,
+ m_right_contracting_strides, m_k_strides);
+
+ const Scalar alpha(1);
+ const Index resIncr(1);
+
+ // zero out the result buffer (which must be of size at least rows * sizeof(Scalar)
+ m_device.memset(buffer, 0, rows * sizeof(Scalar));
+
+ internal::general_matrix_vector_product<Index,LhsScalar,LhsMapper,ColMajor,false,RhsScalar,RhsMapper,false>::run(
+ rows, cols, lhs, rhs,
+ buffer, resIncr, alpha);
+ }
+
+ template <bool lhs_inner_dim_contiguous, bool rhs_inner_dim_contiguous, bool rhs_inner_dim_reordered, int Alignment>
+ EIGEN_DEVICE_FUNC void evalGemm(Scalar* buffer) const {
+ // columns in left side, rows in right side
+ const Index k = this->m_k_size;
+
+ // rows in left side
+ const Index m = this->m_i_size;
+
+ // columns in right side
+ const Index n = this->m_j_size;
+
+ // zero out the result buffer (which must be of size at least m * n * sizeof(Scalar)
+ this->m_device.memset(buffer, 0, m * n * sizeof(Scalar));
+
+ // define mr, nr, and all of my data mapper types
+ typedef typename internal::remove_const<typename EvalLeftArgType::Scalar>::type LhsScalar;
+ typedef typename internal::remove_const<typename EvalRightArgType::Scalar>::type RhsScalar;
+ typedef typename internal::gebp_traits<LhsScalar, RhsScalar> Traits;
+
+ const Index nr = Traits::nr;
+ const Index mr = Traits::mr;
+
+ typedef TensorEvaluator<EvalLeftArgType, Device> LeftEvaluator;
+ typedef TensorEvaluator<EvalRightArgType, Device> RightEvaluator;
+
+ const Index lhs_packet_size = internal::unpacket_traits<typename LeftEvaluator::PacketReturnType>::size;
+ const Index rhs_packet_size = internal::unpacket_traits<typename RightEvaluator::PacketReturnType>::size;
+
+ typedef internal::TensorContractionInputMapper<LhsScalar, Index, internal::Lhs,
+ LeftEvaluator, left_nocontract_t,
+ contract_t, lhs_packet_size,
+ lhs_inner_dim_contiguous,
+ false, Unaligned> LhsMapper;
+
+ typedef internal::TensorContractionInputMapper<RhsScalar, Index, internal::Rhs,
+ RightEvaluator, right_nocontract_t,
+ contract_t, rhs_packet_size,
+ rhs_inner_dim_contiguous,
+ rhs_inner_dim_reordered, Unaligned> RhsMapper;
+
+ typedef internal::blas_data_mapper<Scalar, Index, ColMajor> OutputMapper;
+
+ // Declare GEBP packing and kernel structs
+ internal::gemm_pack_lhs<LhsScalar, Index, typename LhsMapper::SubMapper, mr, Traits::LhsProgress, ColMajor> pack_lhs;
+ internal::gemm_pack_rhs<RhsScalar, Index, typename RhsMapper::SubMapper, nr, ColMajor> pack_rhs;
+
+ internal::gebp_kernel<LhsScalar, RhsScalar, Index, OutputMapper, mr, nr, false, false> gebp;
+
+ // initialize data mappers
+ LhsMapper lhs(this->m_leftImpl, this->m_left_nocontract_strides, this->m_i_strides,
+ this->m_left_contracting_strides, this->m_k_strides);
+
+ RhsMapper rhs(this->m_rightImpl, this->m_right_nocontract_strides, this->m_j_strides,
+ this->m_right_contracting_strides, this->m_k_strides);
+
+ OutputMapper output(buffer, m);
+
+ // Sizes of the blocks to load in cache. See the Goto paper for details.
+ internal::TensorContractionBlocking<LhsMapper, RhsMapper, Index, internal::ShardByCol> blocking(k, m, n, 1);
+ const Index kc = blocking.kc();
+ const Index mc = numext::mini(m, blocking.mc());
+ const Index nc = numext::mini(n, blocking.nc());
+ const Index sizeA = mc * kc;
+ const Index sizeB = kc * nc;
+
+ LhsScalar* blockA = static_cast<LhsScalar *>(this->m_device.allocate(sizeA * sizeof(LhsScalar)));
+ RhsScalar* blockB = static_cast<RhsScalar *>(this->m_device.allocate(sizeB * sizeof(RhsScalar)));
+
+ for(Index i2=0; i2<m; i2+=mc)
+ {
+ const Index actual_mc = numext::mini(i2+mc,m)-i2;
+ for (Index k2 = 0; k2 < k; k2 += kc) {
+ // make sure we don't overshoot right edge of left matrix, then pack vertical panel
+ const Index actual_kc = numext::mini(k2 + kc, k) - k2;
+ pack_lhs(blockA, lhs.getSubMapper(i2, k2), actual_kc, actual_mc, 0, 0);
+
+ // series of horizontal blocks
+ for (Index j2 = 0; j2 < n; j2 += nc) {
+ // make sure we don't overshoot right edge of right matrix, then pack block
+ const Index actual_nc = numext::mini(j2 + nc, n) - j2;
+ pack_rhs(blockB, rhs.getSubMapper(k2, j2), actual_kc, actual_nc, 0, 0);
+
+ // call gebp (matrix kernel)
+ // The parameters here are copied from Eigen's GEMM implementation
+ gebp(output.getSubMapper(i2, j2), blockA, blockB, actual_mc, actual_kc, actual_nc, Scalar(1), -1, -1, 0, 0);
+ }
+ }
+ }
+
+ this->m_device.deallocate(blockA);
+ this->m_device.deallocate(blockB);
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void cleanup() {
+ m_leftImpl.cleanup();
+ m_rightImpl.cleanup();
+
+ if (m_result != NULL) {
+ m_device.deallocate(m_result);
+ m_result = NULL;
+ }
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE CoeffReturnType coeff(Index index) const {
+ return m_result[index];
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorOpCost costPerCoeff(bool) const {
+ return TensorOpCost(sizeof(CoeffReturnType), 0, 0);
+ }
+
+ template<int LoadMode>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE PacketReturnType packet(Index index) const {
+ return internal::ploadt<PacketReturnType, LoadMode>(m_result + index);
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar* data() const { return m_result; }
+
+ protected:
+ // Prevent assignment
+ TensorContractionEvaluatorBase& operator = (const TensorContractionEvaluatorBase&);
+ Dimensions m_dimensions;
+
+ contract_t m_k_strides;
+ contract_t m_left_contracting_strides;
+ contract_t m_right_contracting_strides;
+
+ bool m_lhs_inner_dim_contiguous;
+ bool m_rhs_inner_dim_contiguous;
+ bool m_rhs_inner_dim_reordered;
+
+ left_nocontract_t m_i_strides;
+ right_nocontract_t m_j_strides;
+ left_nocontract_t m_left_nocontract_strides;
+ right_nocontract_t m_right_nocontract_strides;
+
+ Index m_i_size;
+ Index m_j_size;
+ Index m_k_size;
+
+ TensorEvaluator<EvalLeftArgType, Device> m_leftImpl;
+ TensorEvaluator<EvalRightArgType, Device> m_rightImpl;
+ const Device& m_device;
+ Scalar* m_result;
+};
+
+
+// evaluator for default device
+template<typename Indices, typename LeftArgType, typename RightArgType, typename Device>
+struct TensorEvaluator<const TensorContractionOp<Indices, LeftArgType, RightArgType>, Device> :
+ public TensorContractionEvaluatorBase<
+ TensorEvaluator<const TensorContractionOp<Indices, LeftArgType, RightArgType>, Device> > {
+ typedef TensorEvaluator<const TensorContractionOp<Indices, LeftArgType, RightArgType>, Device> Self;
+ typedef TensorContractionEvaluatorBase<Self> Base;
+
+ typedef TensorContractionOp<Indices, LeftArgType, RightArgType> XprType;
+ typedef typename internal::remove_const<typename XprType::Scalar>::type Scalar;
+ typedef typename XprType::Index Index;
+ typedef typename XprType::CoeffReturnType CoeffReturnType;
+ typedef typename PacketType<CoeffReturnType, Device>::type PacketReturnType;
+
+ enum {
+ Layout = TensorEvaluator<LeftArgType, Device>::Layout
+ };
+
+ // Most of the code is assuming that both input tensors are ColMajor. If the
+ // inputs are RowMajor, we will "cheat" by swapping the LHS and RHS:
+ // If we want to compute A * B = C, where A is LHS and B is RHS, the code
+ // will pretend B is LHS and A is RHS.
+ typedef typename internal::conditional<
+ static_cast<int>(Layout) == static_cast<int>(ColMajor), LeftArgType, RightArgType>::type EvalLeftArgType;
+ typedef typename internal::conditional<
+ static_cast<int>(Layout) == static_cast<int>(ColMajor), RightArgType, LeftArgType>::type EvalRightArgType;
+
+ static const int LDims =
+ internal::array_size<typename TensorEvaluator<EvalLeftArgType, Device>::Dimensions>::value;
+ static const int RDims =
+ internal::array_size<typename TensorEvaluator<EvalRightArgType, Device>::Dimensions>::value;
+ static const int ContractDims = internal::array_size<Indices>::value;
+
+ typedef array<Index, ContractDims> contract_t;
+ typedef array<Index, LDims - ContractDims> left_nocontract_t;
+ typedef array<Index, RDims - ContractDims> right_nocontract_t;
+
+ static const int NumDims = LDims + RDims - 2 * ContractDims;
+
+ // Could we use NumDimensions here?
+ typedef DSizes<Index, NumDims> Dimensions;
+
+ EIGEN_DEVICE_FUNC TensorEvaluator(const XprType& op, const Device& device) :
+ Base(op, device) { }
+
+ template <bool lhs_inner_dim_contiguous, bool rhs_inner_dim_contiguous, bool rhs_inner_dim_reordered, int Alignment>
+ EIGEN_DEVICE_FUNC void evalProduct(Scalar* buffer) const {
+ if (this->m_j_size == 1) {
+ this->template evalGemv<lhs_inner_dim_contiguous, rhs_inner_dim_contiguous, rhs_inner_dim_reordered, Alignment>(buffer);
+ return;
+ }
+
+ this->template evalGemm<lhs_inner_dim_contiguous, rhs_inner_dim_contiguous, rhs_inner_dim_reordered, Alignment>(buffer);
+ }
+};
+
+} // end namespace Eigen
+
+#endif // EIGEN_CXX11_TENSOR_TENSOR_CONTRACTION_H