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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_SHUFFLING_H
+#define EIGEN_CXX11_TENSOR_TENSOR_SHUFFLING_H
+
+namespace Eigen {
+
+/** \class TensorShuffling
+ * \ingroup CXX11_Tensor_Module
+ *
+ * \brief Tensor shuffling class.
+ *
+ *
+ */
+namespace internal {
+template<typename Shuffle, typename XprType>
+struct traits<TensorShufflingOp<Shuffle, XprType> > : public traits<XprType>
+{
+ typedef typename XprType::Scalar Scalar;
+ typedef traits<XprType> XprTraits;
+ typedef typename packet_traits<Scalar>::type Packet;
+ typedef typename XprTraits::StorageKind StorageKind;
+ typedef typename XprTraits::Index Index;
+ typedef typename XprType::Nested Nested;
+ typedef typename remove_reference<Nested>::type _Nested;
+ static const int NumDimensions = XprTraits::NumDimensions;
+ static const int Layout = XprTraits::Layout;
+};
+
+template<typename Shuffle, typename XprType>
+struct eval<TensorShufflingOp<Shuffle, XprType>, Eigen::Dense>
+{
+ typedef const TensorShufflingOp<Shuffle, XprType>& type;
+};
+
+template<typename Shuffle, typename XprType>
+struct nested<TensorShufflingOp<Shuffle, XprType>, 1, typename eval<TensorShufflingOp<Shuffle, XprType> >::type>
+{
+ typedef TensorShufflingOp<Shuffle, XprType> type;
+};
+
+} // end namespace internal
+
+
+
+template<typename Shuffle, typename XprType>
+class TensorShufflingOp : public TensorBase<TensorShufflingOp<Shuffle, XprType> >
+{
+ public:
+ typedef typename Eigen::internal::traits<TensorShufflingOp>::Scalar Scalar;
+ typedef typename Eigen::internal::traits<TensorShufflingOp>::Packet Packet;
+ typedef typename Eigen::NumTraits<Scalar>::Real RealScalar;
+ typedef typename XprType::CoeffReturnType CoeffReturnType;
+ typedef typename XprType::PacketReturnType PacketReturnType;
+ typedef typename Eigen::internal::nested<TensorShufflingOp>::type Nested;
+ typedef typename Eigen::internal::traits<TensorShufflingOp>::StorageKind StorageKind;
+ typedef typename Eigen::internal::traits<TensorShufflingOp>::Index Index;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorShufflingOp(const XprType& expr, const Shuffle& shuffle)
+ : m_xpr(expr), m_shuffle(shuffle) {}
+
+ EIGEN_DEVICE_FUNC
+ const Shuffle& shufflePermutation() const { return m_shuffle; }
+
+ EIGEN_DEVICE_FUNC
+ const typename internal::remove_all<typename XprType::Nested>::type&
+ expression() const { return m_xpr; }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE TensorShufflingOp& operator = (const TensorShufflingOp& other)
+ {
+ typedef TensorAssignOp<TensorShufflingOp, const TensorShufflingOp> Assign;
+ Assign assign(*this, other);
+ internal::TensorExecutor<const Assign, DefaultDevice>::run(
+ assign, DefaultDevice());
+ return *this;
+ }
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE TensorShufflingOp& operator = (const OtherDerived& other)
+ {
+ typedef TensorAssignOp<TensorShufflingOp, const OtherDerived> Assign;
+ Assign assign(*this, other);
+ internal::TensorExecutor<const Assign, DefaultDevice>::run(
+ assign, DefaultDevice());
+ return *this;
+ }
+
+ protected:
+ typename XprType::Nested m_xpr;
+ const Shuffle m_shuffle;
+};
+
+
+// Eval as rvalue
+template<typename Shuffle, typename ArgType, typename Device>
+struct TensorEvaluator<const TensorShufflingOp<Shuffle, ArgType>, Device>
+{
+ typedef TensorShufflingOp<Shuffle, ArgType> XprType;
+ typedef typename XprType::Index Index;
+ static const int NumDims = internal::array_size<typename TensorEvaluator<ArgType, Device>::Dimensions>::value;
+ typedef DSizes<Index, NumDims> Dimensions;
+ typedef typename XprType::Scalar Scalar;
+ typedef typename internal::remove_const<Scalar>::type ScalarNonConst;
+
+ enum {
+ IsAligned = false,
+ PacketAccess = (internal::packet_traits<Scalar>::size > 1),
+ BlockAccess = TensorEvaluator<ArgType, Device>::BlockAccess,
+ Layout = TensorEvaluator<ArgType, Device>::Layout,
+ CoordAccess = false, // to be implemented
+ };
+
+ typedef typename internal::TensorBlock<
+ Index, typename internal::remove_const<Scalar>::type, NumDims,
+ TensorEvaluator<ArgType, Device>::Layout> TensorBlock;
+ typedef typename internal::TensorBlockReader<
+ Index, typename internal::remove_const<Scalar>::type, NumDims,
+ TensorEvaluator<ArgType, Device>::Layout, PacketAccess> TensorBlockReader;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorEvaluator(const XprType& op, const Device& device)
+ : m_shuffle(op.shufflePermutation()), m_impl(op.expression(), device)
+ {
+ const typename TensorEvaluator<ArgType, Device>::Dimensions& input_dims = m_impl.dimensions();
+ for (int i = 0; i < NumDims; ++i) {
+ m_dimensions[i] = input_dims[m_shuffle[i]];
+ m_inverseShuffle[m_shuffle[i]] = i;
+ }
+
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ m_unshuffledInputStrides[0] = 1;
+ m_outputStrides[0] = 1;
+ for (int i = 1; i < NumDims; ++i) {
+ m_unshuffledInputStrides[i] =
+ m_unshuffledInputStrides[i - 1] * input_dims[i - 1];
+ m_outputStrides[i] = m_outputStrides[i - 1] * m_dimensions[i - 1];
+ }
+ } else {
+ m_unshuffledInputStrides[NumDims - 1] = 1;
+ m_outputStrides[NumDims - 1] = 1;
+ for (int i = NumDims - 2; i >= 0; --i) {
+ m_unshuffledInputStrides[i] =
+ m_unshuffledInputStrides[i + 1] * input_dims[i + 1];
+ m_outputStrides[i] = m_outputStrides[i + 1] * m_dimensions[i + 1];
+ }
+ }
+
+ for (int i = 0; i < NumDims; ++i) {
+ m_inputStrides[i] = m_unshuffledInputStrides[m_shuffle[i]];
+ }
+
+ m_block_total_size_max = numext::maxi(static_cast<std::size_t>(1),
+ device.firstLevelCacheSize() /
+ sizeof(Scalar));
+ }
+
+ typedef typename XprType::CoeffReturnType CoeffReturnType;
+ typedef typename XprType::PacketReturnType PacketReturnType;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Dimensions& dimensions() const { return m_dimensions; }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool evalSubExprsIfNeeded(Scalar* /*data*/) {
+ m_impl.evalSubExprsIfNeeded(NULL);
+ return true;
+ }
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void cleanup() {
+ m_impl.cleanup();
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE CoeffReturnType coeff(Index index) const
+ {
+ return m_impl.coeff(srcCoeff(index));
+ }
+
+ template<int LoadMode>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE PacketReturnType packet(Index index) const
+ {
+ const int packetSize = internal::unpacket_traits<PacketReturnType>::size;
+ EIGEN_STATIC_ASSERT(packetSize > 1, YOU_MADE_A_PROGRAMMING_MISTAKE)
+ eigen_assert(index+packetSize-1 < dimensions().TotalSize());
+
+ EIGEN_ALIGN_DEFAULT typename internal::remove_const<CoeffReturnType>::type values[packetSize];
+ for (int i = 0; i < packetSize; ++i) {
+ values[i] = coeff(index+i);
+ }
+ PacketReturnType rslt = internal::pload<PacketReturnType>(values);
+ return rslt;
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void getResourceRequirements(
+ std::vector<internal::TensorOpResourceRequirements>* resources) const {
+ resources->push_back(internal::TensorOpResourceRequirements(
+ internal::kUniformAllDims, m_block_total_size_max));
+ m_impl.getResourceRequirements(resources);
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void block(
+ TensorBlock* output_block) const {
+ if (m_impl.data() != NULL) {
+ // Fast path: we have direct access to the data, so shuffle as we read.
+ TensorBlockReader::Run(output_block,
+ srcCoeff(output_block->first_coeff_index()),
+ m_inverseShuffle,
+ m_unshuffledInputStrides,
+ m_impl.data());
+ return;
+ }
+
+ // Slow path: read unshuffled block from the input and shuffle in-place.
+ // Initialize input block sizes using input-to-output shuffle map.
+ DSizes<Index, NumDims> input_block_sizes;
+ for (Index i = 0; i < NumDims; ++i) {
+ input_block_sizes[i] = output_block->block_sizes()[m_inverseShuffle[i]];
+ }
+
+ // Calculate input block strides.
+ DSizes<Index, NumDims> input_block_strides;
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ input_block_strides[0] = 1;
+ for (int i = 1; i < NumDims; ++i) {
+ input_block_strides[i] = input_block_strides[i - 1] *
+ input_block_sizes[i - 1];
+ }
+ } else {
+ input_block_strides[NumDims - 1] = 1;
+ for (int i = NumDims - 2; i >= 0; --i) {
+ input_block_strides[i] = input_block_strides[i + 1] *
+ input_block_sizes[i + 1];
+ }
+ }
+
+ // Read input block.
+ TensorBlock input_block(srcCoeff(output_block->first_coeff_index()),
+ input_block_sizes,
+ input_block_strides,
+ m_unshuffledInputStrides,
+ output_block->data());
+
+ m_impl.block(&input_block);
+
+ // Naive In-place shuffle: random IO but block size is O(L1 cache size).
+ // TODO(andydavis) Improve the performance of this in-place shuffle.
+ const Index total_size = input_block_sizes.TotalSize();
+ std::vector<bool> bitmap(total_size, false);
+ ScalarNonConst* data = const_cast<ScalarNonConst*>(output_block->data());
+ const DSizes<Index, NumDims>& output_block_strides =
+ output_block->block_strides();
+ for (Index input_index = 0; input_index < total_size; ++input_index) {
+ if (bitmap[input_index]) {
+ // Coefficient at this index has already been shuffled.
+ continue;
+ }
+
+ Index output_index = GetBlockOutputIndex(input_index,
+ input_block_strides,
+ output_block_strides);
+ if (output_index == input_index) {
+ // Coefficient already in place.
+ bitmap[output_index] = true;
+ continue;
+ }
+
+ // The following loop starts at 'input_index', and shuffles
+ // coefficients into their shuffled location at 'output_index'.
+ // It skips through the array shuffling coefficients by following
+ // the shuffle cycle starting and ending a 'start_index'.
+ ScalarNonConst evicted_value;
+ ScalarNonConst shuffled_value = data[input_index];
+ do {
+ evicted_value = data[output_index];
+ data[output_index] = shuffled_value;
+ shuffled_value = evicted_value;
+ bitmap[output_index] = true;
+ output_index = GetBlockOutputIndex(output_index,
+ input_block_strides,
+ output_block_strides);
+ } while (output_index != input_index);
+
+ data[output_index] = shuffled_value;
+ bitmap[output_index] = true;
+ }
+ }
+
+ EIGEN_DEVICE_FUNC Scalar* data() const { return NULL; }
+
+ protected:
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index GetBlockOutputIndex(
+ Index input_index,
+ const DSizes<Index, NumDims>& input_block_strides,
+ const DSizes<Index, NumDims>& output_block_strides) const {
+ Index output_index = 0;
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ for (int i = NumDims - 1; i > 0; --i) {
+ const Index idx = input_index / input_block_strides[i];
+ output_index += idx * output_block_strides[m_inverseShuffle[i]];
+ input_index -= idx * input_block_strides[i];
+ }
+ return output_index + input_index *
+ output_block_strides[m_inverseShuffle[0]];
+ } else {
+ for (int i = 0; i < NumDims - 1; ++i) {
+ const Index idx = input_index / input_block_strides[i];
+ output_index += idx * output_block_strides[m_inverseShuffle[i]];
+ input_index -= idx * input_block_strides[i];
+ }
+ return output_index + input_index *
+ output_block_strides[m_inverseShuffle[NumDims - 1]];
+ }
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index srcCoeff(Index index) const {
+ Index inputIndex = 0;
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ for (int i = NumDims - 1; i > 0; --i) {
+ const Index idx = index / m_outputStrides[i];
+ inputIndex += idx * m_inputStrides[i];
+ index -= idx * m_outputStrides[i];
+ }
+ return inputIndex + index * m_inputStrides[0];
+ } else {
+ for (int i = 0; i < NumDims - 1; ++i) {
+ const Index idx = index / m_outputStrides[i];
+ inputIndex += idx * m_inputStrides[i];
+ index -= idx * m_outputStrides[i];
+ }
+ return inputIndex + index * m_inputStrides[NumDims - 1];
+ }
+ }
+
+ const Shuffle& m_shuffle;
+ Dimensions m_dimensions;
+ array<Index, NumDims> m_inverseShuffle;
+ array<Index, NumDims> m_outputStrides;
+ array<Index, NumDims> m_inputStrides;
+ array<Index, NumDims> m_unshuffledInputStrides;
+ TensorEvaluator<ArgType, Device> m_impl;
+ std::size_t m_block_total_size_max;
+};
+
+
+// Eval as lvalue
+template<typename Shuffle, typename ArgType, typename Device>
+struct TensorEvaluator<TensorShufflingOp<Shuffle, ArgType>, Device>
+ : public TensorEvaluator<const TensorShufflingOp<Shuffle, ArgType>, Device>
+{
+ typedef TensorEvaluator<const TensorShufflingOp<Shuffle, ArgType>, Device> Base;
+
+ typedef TensorShufflingOp<Shuffle, ArgType> XprType;
+ typedef typename XprType::Index Index;
+ static const int NumDims = internal::array_size<typename TensorEvaluator<ArgType, Device>::Dimensions>::value;
+ typedef DSizes<Index, NumDims> Dimensions;
+ typedef typename XprType::Scalar Scalar;
+
+ enum {
+ IsAligned = false,
+ PacketAccess = (internal::packet_traits<Scalar>::size > 1),
+ BlockAccess = TensorEvaluator<ArgType, Device>::BlockAccess,
+ Layout = TensorEvaluator<ArgType, Device>::Layout,
+ };
+
+ typedef typename internal::TensorBlock<
+ Index, typename internal::remove_const<Scalar>::type, NumDims,
+ TensorEvaluator<ArgType, Device>::Layout> TensorBlock;
+ typedef typename internal::TensorBlockWriter<
+ Index, typename internal::remove_const<Scalar>::type, NumDims,
+ TensorEvaluator<ArgType, Device>::Layout, PacketAccess> TensorBlockWriter;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorEvaluator(const XprType& op, const Device& device)
+ : Base(op, device)
+ { }
+
+ typedef typename XprType::CoeffReturnType CoeffReturnType;
+ typedef typename XprType::PacketReturnType PacketReturnType;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE CoeffReturnType& coeffRef(Index index)
+ {
+ return this->m_impl.coeffRef(this->srcCoeff(index));
+ }
+
+ template <int StoreMode> EIGEN_STRONG_INLINE
+ void writePacket(Index index, const PacketReturnType& x)
+ {
+ static const int packetSize = internal::unpacket_traits<PacketReturnType>::size;
+ EIGEN_STATIC_ASSERT(packetSize > 1, YOU_MADE_A_PROGRAMMING_MISTAKE)
+
+ EIGEN_ALIGN_DEFAULT typename internal::remove_const<CoeffReturnType>::type values[packetSize];
+ internal::pstore<CoeffReturnType, PacketReturnType>(values, x);
+ for (int i = 0; i < packetSize; ++i) {
+ this->coeffRef(index+i) = values[i];
+ }
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void writeBlock(
+ const TensorBlock& block) {
+ eigen_assert(this->m_impl.data() != NULL);
+ TensorBlockWriter::Run(block, this->srcCoeff(block.first_coeff_index()),
+ this->m_inverseShuffle,
+ this->m_unshuffledInputStrides, this->m_impl.data());
+ }
+};
+
+
+} // end namespace Eigen
+
+#endif // EIGEN_CXX11_TENSOR_TENSOR_SHUFFLING_H