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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_STRIDING_H
+#define EIGEN_CXX11_TENSOR_TENSOR_STRIDING_H
+
+namespace Eigen {
+
+/** \class TensorStriding
+ * \ingroup CXX11_Tensor_Module
+ *
+ * \brief Tensor striding class.
+ *
+ *
+ */
+namespace internal {
+template<typename Strides, typename XprType>
+struct traits<TensorStridingOp<Strides, 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 Strides, typename XprType>
+struct eval<TensorStridingOp<Strides, XprType>, Eigen::Dense>
+{
+ typedef const TensorStridingOp<Strides, XprType>& type;
+};
+
+template<typename Strides, typename XprType>
+struct nested<TensorStridingOp<Strides, XprType>, 1, typename eval<TensorStridingOp<Strides, XprType> >::type>
+{
+ typedef TensorStridingOp<Strides, XprType> type;
+};
+
+} // end namespace internal
+
+
+
+template<typename Strides, typename XprType>
+class TensorStridingOp : public TensorBase<TensorStridingOp<Strides, XprType> >
+{
+ public:
+ typedef typename Eigen::internal::traits<TensorStridingOp>::Scalar Scalar;
+ typedef typename Eigen::internal::traits<TensorStridingOp>::Packet Packet;
+ typedef typename Eigen::NumTraits<Scalar>::Real RealScalar;
+ typedef typename XprType::CoeffReturnType CoeffReturnType;
+ typedef typename XprType::PacketReturnType PacketReturnType;
+ typedef typename Eigen::internal::nested<TensorStridingOp>::type Nested;
+ typedef typename Eigen::internal::traits<TensorStridingOp>::StorageKind StorageKind;
+ typedef typename Eigen::internal::traits<TensorStridingOp>::Index Index;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorStridingOp(const XprType& expr, const Strides& dims)
+ : m_xpr(expr), m_dims(dims) {}
+
+ EIGEN_DEVICE_FUNC
+ const Strides& strides() const { return m_dims; }
+
+ EIGEN_DEVICE_FUNC
+ const typename internal::remove_all<typename XprType::Nested>::type&
+ expression() const { return m_xpr; }
+
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE TensorStridingOp& operator = (const TensorStridingOp& other)
+ {
+ typedef TensorAssignOp<TensorStridingOp, const TensorStridingOp> Assign;
+ Assign assign(*this, other);
+ internal::TensorExecutor<const Assign, DefaultDevice>::run(
+ assign, DefaultDevice());
+ return *this;
+ }
+
+ template<typename OtherDerived>
+ EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE TensorStridingOp& operator = (const OtherDerived& other)
+ {
+ typedef TensorAssignOp<TensorStridingOp, const OtherDerived> Assign;
+ Assign assign(*this, other);
+ internal::TensorExecutor<const Assign, DefaultDevice>::run(
+ assign, DefaultDevice());
+ return *this;
+ }
+
+ protected:
+ typename XprType::Nested m_xpr;
+ const Strides m_dims;
+};
+
+
+// Eval as rvalue
+template<typename Strides, typename ArgType, typename Device>
+struct TensorEvaluator<const TensorStridingOp<Strides, ArgType>, Device>
+{
+ typedef TensorStridingOp<Strides, 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;
+
+ enum {
+ IsAligned = /*TensorEvaluator<ArgType, Device>::IsAligned*/ false,
+ PacketAccess = TensorEvaluator<ArgType, Device>::PacketAccess,
+ BlockAccess = false,
+ Layout = TensorEvaluator<ArgType, Device>::Layout,
+ CoordAccess = false, // to be implemented
+ };
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorEvaluator(const XprType& op, const Device& device)
+ : m_impl(op.expression(), device)
+ {
+ m_dimensions = m_impl.dimensions();
+ for (int i = 0; i < NumDims; ++i) {
+ m_dimensions[i] = ceilf(static_cast<float>(m_dimensions[i]) / op.strides()[i]);
+ }
+
+ const typename TensorEvaluator<ArgType, Device>::Dimensions& input_dims = m_impl.dimensions();
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ m_outputStrides[0] = 1;
+ m_inputStrides[0] = 1;
+ for (int i = 1; i < NumDims; ++i) {
+ m_outputStrides[i] = m_outputStrides[i-1] * m_dimensions[i-1];
+ m_inputStrides[i] = m_inputStrides[i-1] * input_dims[i-1];
+ m_inputStrides[i-1] *= op.strides()[i-1];
+ }
+ m_inputStrides[NumDims-1] *= op.strides()[NumDims-1];
+ } else { // RowMajor
+ m_outputStrides[NumDims-1] = 1;
+ m_inputStrides[NumDims-1] = 1;
+ for (int i = NumDims - 2; i >= 0; --i) {
+ m_outputStrides[i] = m_outputStrides[i+1] * m_dimensions[i+1];
+ m_inputStrides[i] = m_inputStrides[i+1] * input_dims[i+1];
+ m_inputStrides[i+1] *= op.strides()[i+1];
+ }
+ m_inputStrides[0] *= op.strides()[0];
+ }
+ }
+
+ typedef typename XprType::Scalar 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());
+
+ Index inputIndices[] = {0, 0};
+ Index indices[] = {index, index + packetSize - 1};
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ for (int i = NumDims - 1; i > 0; --i) {
+ const Index idx0 = indices[0] / m_outputStrides[i];
+ const Index idx1 = indices[1] / m_outputStrides[i];
+ inputIndices[0] += idx0 * m_inputStrides[i];
+ inputIndices[1] += idx1 * m_inputStrides[i];
+ indices[0] -= idx0 * m_outputStrides[i];
+ indices[1] -= idx1 * m_outputStrides[i];
+ }
+ inputIndices[0] += indices[0] * m_inputStrides[0];
+ inputIndices[1] += indices[1] * m_inputStrides[0];
+ } else { // RowMajor
+ for (int i = 0; i < NumDims - 1; ++i) {
+ const Index idx0 = indices[0] / m_outputStrides[i];
+ const Index idx1 = indices[1] / m_outputStrides[i];
+ inputIndices[0] += idx0 * m_inputStrides[i];
+ inputIndices[1] += idx1 * m_inputStrides[i];
+ indices[0] -= idx0 * m_outputStrides[i];
+ indices[1] -= idx1 * m_outputStrides[i];
+ }
+ inputIndices[0] += indices[0] * m_inputStrides[NumDims-1];
+ inputIndices[1] += indices[1] * m_inputStrides[NumDims-1];
+ }
+ if (inputIndices[1] - inputIndices[0] == packetSize - 1) {
+ PacketReturnType rslt = m_impl.template packet<Unaligned>(inputIndices[0]);
+ return rslt;
+ }
+ else {
+ EIGEN_ALIGN_DEFAULT typename internal::remove_const<CoeffReturnType>::type values[packetSize];
+ values[0] = m_impl.coeff(inputIndices[0]);
+ values[packetSize-1] = m_impl.coeff(inputIndices[1]);
+ for (int i = 1; i < packetSize-1; ++i) {
+ values[i] = coeff(index+i);
+ }
+ PacketReturnType rslt = internal::pload<PacketReturnType>(values);
+ return rslt;
+ }
+ }
+
+ EIGEN_DEVICE_FUNC Scalar* data() const { return NULL; }
+
+ protected:
+ 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];
+ }
+ inputIndex += index * m_inputStrides[0];
+ } else { // RowMajor
+ 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];
+ }
+ inputIndex += index * m_inputStrides[NumDims-1];
+ }
+ return inputIndex;
+ }
+
+ Dimensions m_dimensions;
+ array<Index, NumDims> m_outputStrides;
+ array<Index, NumDims> m_inputStrides;
+ TensorEvaluator<ArgType, Device> m_impl;
+};
+
+
+// Eval as lvalue
+template<typename Strides, typename ArgType, typename Device>
+struct TensorEvaluator<TensorStridingOp<Strides, ArgType>, Device>
+ : public TensorEvaluator<const TensorStridingOp<Strides, ArgType>, Device>
+{
+ typedef TensorStridingOp<Strides, ArgType> XprType;
+ typedef TensorEvaluator<const XprType, Device> Base;
+ // typedef typename XprType::Index Index;
+ static const int NumDims = internal::array_size<typename TensorEvaluator<ArgType, Device>::Dimensions>::value;
+ // typedef DSizes<Index, NumDims> Dimensions;
+
+ enum {
+ IsAligned = /*TensorEvaluator<ArgType, Device>::IsAligned*/ false,
+ PacketAccess = TensorEvaluator<ArgType, Device>::PacketAccess,
+ BlockAccess = false,
+ Layout = TensorEvaluator<ArgType, Device>::Layout,
+ CoordAccess = false, // to be implemented
+ };
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorEvaluator(const XprType& op, const Device& device)
+ : Base(op, device) { }
+
+ typedef typename XprType::Index Index;
+ typedef typename XprType::Scalar Scalar;
+ typedef typename XprType::PacketReturnType PacketReturnType;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar& coeffRef(Index index)
+ {
+ return this->m_impl.coeffRef(this->srcCoeff(index));
+ }
+
+ template <int StoreMode> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ void writePacket(Index index, const PacketReturnType& x)
+ {
+ const int packetSize = internal::unpacket_traits<PacketReturnType>::size;
+ EIGEN_STATIC_ASSERT(packetSize > 1, YOU_MADE_A_PROGRAMMING_MISTAKE)
+ eigen_assert(index+packetSize-1 < this->dimensions().TotalSize());
+
+ Index inputIndices[] = {0, 0};
+ Index indices[] = {index, index + packetSize - 1};
+ if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+ for (int i = NumDims - 1; i > 0; --i) {
+ const Index idx0 = indices[0] / this->m_outputStrides[i];
+ const Index idx1 = indices[1] / this->m_outputStrides[i];
+ inputIndices[0] += idx0 * this->m_inputStrides[i];
+ inputIndices[1] += idx1 * this->m_inputStrides[i];
+ indices[0] -= idx0 * this->m_outputStrides[i];
+ indices[1] -= idx1 * this->m_outputStrides[i];
+ }
+ inputIndices[0] += indices[0] * this->m_inputStrides[0];
+ inputIndices[1] += indices[1] * this->m_inputStrides[0];
+ } else { // RowMajor
+ for (int i = 0; i < NumDims - 1; ++i) {
+ const Index idx0 = indices[0] / this->m_outputStrides[i];
+ const Index idx1 = indices[1] / this->m_outputStrides[i];
+ inputIndices[0] += idx0 * this->m_inputStrides[i];
+ inputIndices[1] += idx1 * this->m_inputStrides[i];
+ indices[0] -= idx0 * this->m_outputStrides[i];
+ indices[1] -= idx1 * this->m_outputStrides[i];
+ }
+ inputIndices[0] += indices[0] * this->m_inputStrides[NumDims-1];
+ inputIndices[1] += indices[1] * this->m_inputStrides[NumDims-1];
+ }
+ if (inputIndices[1] - inputIndices[0] == packetSize - 1) {
+ this->m_impl.template writePacket<Unaligned>(inputIndices[0], x);
+ }
+ else {
+ EIGEN_ALIGN_DEFAULT Scalar values[packetSize];
+ internal::pstore<Scalar, PacketReturnType>(values, x);
+ this->m_impl.coeffRef(inputIndices[0]) = values[0];
+ this->m_impl.coeffRef(inputIndices[1]) = values[packetSize-1];
+ for (int i = 1; i < packetSize-1; ++i) {
+ this->coeffRef(index+i) = values[i];
+ }
+ }
+ }
+};
+
+
+} // end namespace Eigen
+
+#endif // EIGEN_CXX11_TENSOR_TENSOR_STRIDING_H