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Added support for convolution and reshaping of tensors.
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206
unsupported/Eigen/CXX11/src/Tensor/TensorConvolution.h
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206
unsupported/Eigen/CXX11/src/Tensor/TensorConvolution.h
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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2014 Benoit Steiner <benoit.steiner.goog@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef EIGEN_CXX11_TENSOR_TENSOR_CONVOLUTION_H
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#define EIGEN_CXX11_TENSOR_TENSOR_CONVOLUTION_H
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namespace Eigen {
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/** \class TensorConvolution
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* \ingroup CXX11_Tensor_Module
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*
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* \brief Tensor convolution class.
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*
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*
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*/
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namespace internal {
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template<typename Dimensions, typename InputXprType, typename KernelXprType>
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struct traits<TensorConvolutionOp<Dimensions, InputXprType, KernelXprType> >
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{
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// Type promotion to handle the case where the types of the lhs and the rhs are different.
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typedef typename internal::promote_storage_type<typename InputXprType::Scalar,
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typename KernelXprType::Scalar>::ret Scalar;
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typedef typename internal::packet_traits<Scalar>::type Packet;
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typedef typename promote_storage_type<typename traits<InputXprType>::StorageKind,
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typename traits<KernelXprType>::StorageKind>::ret StorageKind;
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typedef typename promote_index_type<typename traits<InputXprType>::Index,
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typename traits<KernelXprType>::Index>::type Index;
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typedef typename InputXprType::Nested LhsNested;
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typedef typename KernelXprType::Nested RhsNested;
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typedef typename remove_reference<LhsNested>::type _LhsNested;
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typedef typename remove_reference<RhsNested>::type _RhsNested;
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};
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template<typename Dimensions, typename InputXprType, typename KernelXprType>
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struct eval<TensorConvolutionOp<Dimensions, InputXprType, KernelXprType>, Eigen::Dense>
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{
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typedef const TensorConvolutionOp<Dimensions, InputXprType, KernelXprType>& type;
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};
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template<typename Dimensions, typename InputXprType, typename KernelXprType>
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struct nested<TensorConvolutionOp<Dimensions, InputXprType, KernelXprType>, 1, typename eval<TensorConvolutionOp<Dimensions, InputXprType, KernelXprType> >::type>
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{
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typedef TensorConvolutionOp<Dimensions, InputXprType, KernelXprType> type;
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};
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} // end namespace internal
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template<typename Indices, typename InputXprType, typename KernelXprType>
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class TensorConvolutionOp : public TensorBase<TensorConvolutionOp<Indices, InputXprType, KernelXprType> >
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{
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public:
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typedef typename Eigen::internal::traits<TensorConvolutionOp>::Scalar Scalar;
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typedef typename Eigen::internal::traits<TensorConvolutionOp>::Packet Packet;
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typedef typename Eigen::NumTraits<Scalar>::Real RealScalar;
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typedef typename internal::promote_storage_type<typename InputXprType::CoeffReturnType,
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typename KernelXprType::CoeffReturnType>::ret CoeffReturnType;
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typedef typename internal::promote_storage_type<typename InputXprType::PacketReturnType,
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typename KernelXprType::PacketReturnType>::ret PacketReturnType;
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typedef typename Eigen::internal::nested<TensorConvolutionOp>::type Nested;
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typedef typename Eigen::internal::traits<TensorConvolutionOp>::StorageKind StorageKind;
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typedef typename Eigen::internal::traits<TensorConvolutionOp>::Index Index;
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorConvolutionOp(const InputXprType& input, const KernelXprType& kernel, const Indices& dims)
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: m_input_xpr(input), m_kernel_xpr(kernel), m_indices(dims) {}
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EIGEN_DEVICE_FUNC
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const Indices& indices() const { return m_indices; }
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/** \returns the nested expressions */
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EIGEN_DEVICE_FUNC
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const typename internal::remove_all<typename InputXprType::Nested>::type&
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inputExpression() const { return m_input_xpr; }
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EIGEN_DEVICE_FUNC
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const typename internal::remove_all<typename KernelXprType::Nested>::type&
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kernelExpression() const { return m_kernel_xpr; }
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protected:
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typename InputXprType::Nested m_input_xpr;
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typename KernelXprType::Nested m_kernel_xpr;
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const Indices m_indices;
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};
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template<typename Indices, typename InputArgType, typename KernelArgType>
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struct TensorEvaluator<const TensorConvolutionOp<Indices, InputArgType, KernelArgType> >
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{
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typedef TensorConvolutionOp<Indices, InputArgType, KernelArgType> XprType;
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static const int NumDims = TensorEvaluator<InputArgType>::Dimensions::count;
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static const int KernelDims = Indices::size;
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typedef typename XprType::Index Index;
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typedef DSizes<Index, NumDims> Dimensions;
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enum {
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IsAligned = TensorEvaluator<InputArgType>::IsAligned & TensorEvaluator<KernelArgType>::IsAligned,
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PacketAccess = /*TensorEvaluator<InputArgType>::PacketAccess & TensorEvaluator<KernelArgType>::PacketAccess */
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false,
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};
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TensorEvaluator(const XprType& op)
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: m_inputImpl(op.inputExpression()), m_kernelImpl(op.kernelExpression()), m_dimensions(op.inputExpression().dimensions())
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{
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const typename TensorEvaluator<InputArgType>::Dimensions& input_dims = m_inputImpl.dimensions();
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const typename TensorEvaluator<KernelArgType>::Dimensions& kernel_dims = m_kernelImpl.dimensions();
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for (int i = 0; i < NumDims; ++i) {
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if (i > 0) {
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m_inputStride[i] = m_inputStride[i-1] * input_dims[i-1];
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} else {
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m_inputStride[0] = 1;
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}
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}
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for (int i = 0; i < KernelDims; ++i) {
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const Index index = op.indices()[i];
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const Index input_dim = input_dims[index];
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const Index kernel_dim = kernel_dims[i];
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const Index result_dim = input_dim - kernel_dim + 1;
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m_dimensions[index] = result_dim;
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if (i > 0) {
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m_kernelStride[i] = m_kernelStride[i-1] * kernel_dims[i-1];
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} else {
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m_kernelStride[0] = 1;
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}
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m_indexStride[i] = m_inputStride[index];
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}
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for (int i = 0; i < NumDims; ++i) {
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if (i > 0) {
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m_outputStride[i] = m_outputStride[i-1] * m_dimensions[i-1];
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} else {
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m_outputStride[0] = 1;
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}
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}
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}
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typedef typename XprType::CoeffReturnType CoeffReturnType;
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typedef typename XprType::PacketReturnType PacketReturnType;
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const Dimensions& dimensions() const { return m_dimensions; }
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void evalTo(typename XprType::Scalar* buffer) const {
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for (int i = 0; i < dimensions().TotalSize(); ++i) {
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buffer[i] += coeff(i);
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}
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}
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE CoeffReturnType coeff(Index index) const
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{
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Index startInput = 0;
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for (int i = NumDims - 1; i >= 0; --i) {
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const Index idx = index / m_outputStride[i];
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startInput += idx * m_inputStride[i];
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index -= idx * m_outputStride[i];
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}
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CoeffReturnType result = CoeffReturnType(0);
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convolve(startInput, 0, 0, result);
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return result;
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}
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/* TODO: vectorization
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template<int LoadMode>
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EIGEN_DEVICE_FUNC PacketReturnType packet(Index index) const
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{
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assert(false);
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}*/
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EIGEN_DEVICE_FUNC void convolve(Index firstIndex, Index firstKernel, int DimIndex, CoeffReturnType& accum) const {
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for (int j = 0; j < m_kernelImpl.dimensions()[DimIndex]; ++j) {
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const Index input = firstIndex + j * m_indexStride[DimIndex];
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const Index kernel = firstKernel + j * m_kernelStride[DimIndex];
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if (DimIndex < KernelDims-1) {
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convolve(input, kernel, DimIndex+1, accum);
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} else {
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accum += m_inputImpl.coeff(input) * m_kernelImpl.coeff(kernel);
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}
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}
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}
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private:
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array<Index, NumDims> m_inputStride;
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array<Index, NumDims> m_outputStride;
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array<Index, KernelDims> m_indexStride;
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array<Index, KernelDims> m_kernelStride;
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Dimensions m_dimensions;
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TensorEvaluator<InputArgType> m_inputImpl;
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TensorEvaluator<KernelArgType> m_kernelImpl;
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};
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} // end namespace Eigen
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#endif // EIGEN_CXX11_TENSOR_TENSOR_CONVOLUTION_H
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