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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_DIMENSIONS_H
+#define EIGEN_CXX11_TENSOR_TENSOR_DIMENSIONS_H
+
+
+namespace Eigen {
+
+/** \internal
+ *
+ * \class TensorDimensions
+ * \ingroup CXX11_Tensor_Module
+ *
+ * \brief Set of classes used to encode and store the dimensions of a Tensor.
+ *
+ * The Sizes class encodes as part of the type the number of dimensions and the
+ * sizes corresponding to each dimension. It uses no storage space since it is
+ * entirely known at compile time.
+ * The DSizes class is its dynamic sibling: the number of dimensions is known
+ * at compile time but the sizes are set during execution.
+ *
+ * \sa Tensor
+ */
+
+// Boilerplate code
+namespace internal {
+
+template<std::size_t n, typename Dimension> struct dget {
+ static const std::size_t value = get<n, Dimension>::value;
+};
+
+
+template<typename Index, std::size_t NumIndices, std::size_t n, bool RowMajor>
+struct fixed_size_tensor_index_linearization_helper
+{
+ template <typename Dimensions> EIGEN_DEVICE_FUNC
+ static inline Index run(array<Index, NumIndices> const& indices,
+ const Dimensions& dimensions)
+ {
+ return array_get<RowMajor ? n - 1 : (NumIndices - n)>(indices) +
+ dget<RowMajor ? n - 1 : (NumIndices - n), Dimensions>::value *
+ fixed_size_tensor_index_linearization_helper<Index, NumIndices, n - 1, RowMajor>::run(indices, dimensions);
+ }
+};
+
+template<typename Index, std::size_t NumIndices, bool RowMajor>
+struct fixed_size_tensor_index_linearization_helper<Index, NumIndices, 0, RowMajor>
+{
+ template <typename Dimensions> EIGEN_DEVICE_FUNC
+ static inline Index run(array<Index, NumIndices> const&, const Dimensions&)
+ {
+ return 0;
+ }
+};
+
+template<typename Index, std::size_t n>
+struct fixed_size_tensor_index_extraction_helper
+{
+ template <typename Dimensions> EIGEN_DEVICE_FUNC
+ static inline Index run(const Index index,
+ const Dimensions& dimensions)
+ {
+ const Index mult = (index == n-1) ? 1 : 0;
+ return array_get<n-1>(dimensions) * mult +
+ fixed_size_tensor_index_extraction_helper<Index, n - 1>::run(index, dimensions);
+ }
+};
+
+template<typename Index>
+struct fixed_size_tensor_index_extraction_helper<Index, 0>
+{
+ template <typename Dimensions> EIGEN_DEVICE_FUNC
+ static inline Index run(const Index,
+ const Dimensions&)
+ {
+ return 0;
+ }
+ };
+
+} // end namespace internal
+
+
+// Fixed size
+#ifndef EIGEN_EMULATE_CXX11_META_H
+template <typename std::ptrdiff_t... Indices>
+struct Sizes : internal::numeric_list<std::ptrdiff_t, Indices...> {
+ typedef internal::numeric_list<std::ptrdiff_t, Indices...> Base;
+ static const std::ptrdiff_t total_size = internal::arg_prod(Indices...);
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::ptrdiff_t rank() const {
+ return Base::count;
+ }
+
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::ptrdiff_t TotalSize() {
+ return internal::arg_prod(Indices...);
+ }
+
+ EIGEN_DEVICE_FUNC Sizes() { }
+ template <typename DenseIndex>
+ explicit EIGEN_DEVICE_FUNC Sizes(const array<DenseIndex, Base::count>& /*indices*/) {
+ // todo: add assertion
+ }
+#if EIGEN_HAS_VARIADIC_TEMPLATES
+ template <typename... DenseIndex> EIGEN_DEVICE_FUNC Sizes(DenseIndex...) { }
+ explicit EIGEN_DEVICE_FUNC Sizes(std::initializer_list<std::ptrdiff_t> /*l*/) {
+ // todo: add assertion
+ }
+#endif
+
+ template <typename T> Sizes& operator = (const T& /*other*/) {
+ // add assertion failure if the size of other is different
+ return *this;
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::ptrdiff_t operator[] (const std::size_t index) const {
+ return internal::fixed_size_tensor_index_extraction_helper<std::ptrdiff_t, Base::count>::run(index, *this);
+ }
+
+ template <typename DenseIndex> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ size_t IndexOfColMajor(const array<DenseIndex, Base::count>& indices) const {
+ return internal::fixed_size_tensor_index_linearization_helper<DenseIndex, Base::count, Base::count, false>::run(indices, *static_cast<const Base*>(this));
+ }
+ template <typename DenseIndex> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ size_t IndexOfRowMajor(const array<DenseIndex, Base::count>& indices) const {
+ return internal::fixed_size_tensor_index_linearization_helper<DenseIndex, Base::count, Base::count, true>::run(indices, *static_cast<const Base*>(this));
+ }
+};
+
+namespace internal {
+template <typename std::ptrdiff_t... Indices>
+EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::ptrdiff_t array_prod(const Sizes<Indices...>&) {
+ return Sizes<Indices...>::total_size;
+}
+}
+
+#else
+
+template <std::size_t n>
+struct non_zero_size {
+ typedef internal::type2val<std::size_t, n> type;
+};
+template <>
+struct non_zero_size<0> {
+ typedef internal::null_type type;
+};
+
+template <std::size_t V1=0, std::size_t V2=0, std::size_t V3=0, std::size_t V4=0, std::size_t V5=0> struct Sizes {
+ typedef typename internal::make_type_list<typename non_zero_size<V1>::type, typename non_zero_size<V2>::type, typename non_zero_size<V3>::type, typename non_zero_size<V4>::type, typename non_zero_size<V5>::type >::type Base;
+ static const size_t count = Base::count;
+ static const std::size_t total_size = internal::arg_prod<Base>::value;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE size_t rank() const {
+ return count;
+ }
+
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE size_t TotalSize() {
+ return internal::arg_prod<Base>::value;
+ }
+
+ Sizes() { }
+ template <typename DenseIndex>
+ explicit Sizes(const array<DenseIndex, Base::count>& /*indices*/) {
+ // todo: add assertion
+ }
+ template <typename T> Sizes& operator = (const T& /*other*/) {
+ // add assertion failure if the size of other is different
+ return *this;
+ }
+
+#if EIGEN_HAS_VARIADIC_TEMPLATES
+ template <typename... DenseIndex> Sizes(DenseIndex... /*indices*/) { }
+ explicit Sizes(std::initializer_list<std::size_t>) {
+ // todo: add assertion
+ }
+#else
+ EIGEN_DEVICE_FUNC explicit Sizes(const DenseIndex) {
+ }
+ EIGEN_DEVICE_FUNC Sizes(const DenseIndex, const DenseIndex) {
+ }
+ EIGEN_DEVICE_FUNC Sizes(const DenseIndex, const DenseIndex, const DenseIndex) {
+ }
+ EIGEN_DEVICE_FUNC Sizes(const DenseIndex, const DenseIndex, const DenseIndex, const DenseIndex) {
+ }
+ EIGEN_DEVICE_FUNC Sizes(const DenseIndex, const DenseIndex, const DenseIndex, const DenseIndex, const DenseIndex) {
+ }
+#endif
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE DenseIndex operator[] (const int index) const {
+ switch (index) {
+ case 0:
+ return internal::get<0, Base>::value;
+ case 1:
+ return internal::get<1, Base>::value;
+ case 2:
+ return internal::get<2, Base>::value;
+ case 3:
+ return internal::get<3, Base>::value;
+ case 4:
+ return internal::get<4, Base>::value;
+ default:
+ eigen_assert(false && "index overflow");
+ return static_cast<DenseIndex>(-1);
+ }
+ }
+
+ template <typename DenseIndex> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ size_t IndexOfColMajor(const array<DenseIndex, Base::count>& indices) const {
+ return internal::fixed_size_tensor_index_linearization_helper<DenseIndex, Base::count, Base::count, false>::run(indices, *reinterpret_cast<const Base*>(this));
+ }
+ template <typename DenseIndex> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ size_t IndexOfRowMajor(const array<DenseIndex, Base::count>& indices) const {
+ return internal::fixed_size_tensor_index_linearization_helper<DenseIndex, Base::count, Base::count, true>::run(indices, *reinterpret_cast<const Base*>(this));
+ }
+};
+
+namespace internal {
+template <std::size_t V1, std::size_t V2, std::size_t V3, std::size_t V4, std::size_t V5>
+EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::size_t array_prod(const Sizes<V1, V2, V3, V4, V5>&) {
+ return Sizes<V1, V2, V3, V4, V5>::total_size;
+}
+}
+
+#endif
+
+// Boilerplate
+namespace internal {
+template<typename Index, std::size_t NumIndices, std::size_t n, bool RowMajor>
+struct tensor_index_linearization_helper
+{
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ Index run(array<Index, NumIndices> const& indices, array<Index, NumIndices> const& dimensions)
+ {
+ return array_get<RowMajor ? n : (NumIndices - n - 1)>(indices) +
+ array_get<RowMajor ? n : (NumIndices - n - 1)>(dimensions) *
+ tensor_index_linearization_helper<Index, NumIndices, n - 1, RowMajor>::run(indices, dimensions);
+ }
+};
+
+template<typename Index, std::size_t NumIndices, bool RowMajor>
+struct tensor_index_linearization_helper<Index, NumIndices, 0, RowMajor>
+{
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ Index run(array<Index, NumIndices> const& indices, array<Index, NumIndices> const&)
+ {
+ return array_get<RowMajor ? 0 : NumIndices - 1>(indices);
+ }
+};
+} // end namespace internal
+
+
+
+// Dynamic size
+template <typename DenseIndex, int NumDims>
+struct DSizes : array<DenseIndex, NumDims> {
+ typedef array<DenseIndex, NumDims> Base;
+ static const int count = NumDims;
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE size_t rank() const {
+ return NumDims;
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE DenseIndex TotalSize() const {
+ return (NumDims == 0) ? 1 : internal::array_prod(*static_cast<const Base*>(this));
+ }
+
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE DSizes() {
+ for (int i = 0 ; i < NumDims; ++i) {
+ (*this)[i] = 0;
+ }
+ }
+ EIGEN_DEVICE_FUNC explicit DSizes(const array<DenseIndex, NumDims>& a) : Base(a) { }
+
+ EIGEN_DEVICE_FUNC explicit DSizes(const DenseIndex i0) {
+ eigen_assert(NumDims == 1);
+ (*this)[0] = i0;
+ }
+
+#if EIGEN_HAS_VARIADIC_TEMPLATES
+ template<typename... IndexTypes> EIGEN_DEVICE_FUNC
+ EIGEN_STRONG_INLINE explicit DSizes(DenseIndex firstDimension, DenseIndex secondDimension, IndexTypes... otherDimensions) : Base({{firstDimension, secondDimension, otherDimensions...}}) {
+ EIGEN_STATIC_ASSERT(sizeof...(otherDimensions) + 2 == NumDims, YOU_MADE_A_PROGRAMMING_MISTAKE)
+ }
+#else
+ EIGEN_DEVICE_FUNC DSizes(const DenseIndex i0, const DenseIndex i1) {
+ eigen_assert(NumDims == 2);
+ (*this)[0] = i0;
+ (*this)[1] = i1;
+ }
+ EIGEN_DEVICE_FUNC DSizes(const DenseIndex i0, const DenseIndex i1, const DenseIndex i2) {
+ eigen_assert(NumDims == 3);
+ (*this)[0] = i0;
+ (*this)[1] = i1;
+ (*this)[2] = i2;
+ }
+ EIGEN_DEVICE_FUNC DSizes(const DenseIndex i0, const DenseIndex i1, const DenseIndex i2, const DenseIndex i3) {
+ eigen_assert(NumDims == 4);
+ (*this)[0] = i0;
+ (*this)[1] = i1;
+ (*this)[2] = i2;
+ (*this)[3] = i3;
+ }
+ EIGEN_DEVICE_FUNC DSizes(const DenseIndex i0, const DenseIndex i1, const DenseIndex i2, const DenseIndex i3, const DenseIndex i4) {
+ eigen_assert(NumDims == 5);
+ (*this)[0] = i0;
+ (*this)[1] = i1;
+ (*this)[2] = i2;
+ (*this)[3] = i3;
+ (*this)[4] = i4;
+ }
+#endif
+
+ EIGEN_DEVICE_FUNC DSizes& operator = (const array<DenseIndex, NumDims>& other) {
+ *static_cast<Base*>(this) = other;
+ return *this;
+ }
+
+ // A constexpr would be so much better here
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE DenseIndex IndexOfColMajor(const array<DenseIndex, NumDims>& indices) const {
+ return internal::tensor_index_linearization_helper<DenseIndex, NumDims, NumDims - 1, false>::run(indices, *static_cast<const Base*>(this));
+ }
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE DenseIndex IndexOfRowMajor(const array<DenseIndex, NumDims>& indices) const {
+ return internal::tensor_index_linearization_helper<DenseIndex, NumDims, NumDims - 1, true>::run(indices, *static_cast<const Base*>(this));
+ }
+};
+
+
+
+
+// Boilerplate
+namespace internal {
+template<typename Index, std::size_t NumIndices, std::size_t n, bool RowMajor>
+struct tensor_vsize_index_linearization_helper
+{
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ Index run(array<Index, NumIndices> const& indices, std::vector<DenseIndex> const& dimensions)
+ {
+ return array_get<RowMajor ? n : (NumIndices - n - 1)>(indices) +
+ array_get<RowMajor ? n : (NumIndices - n - 1)>(dimensions) *
+ tensor_vsize_index_linearization_helper<Index, NumIndices, n - 1, RowMajor>::run(indices, dimensions);
+ }
+};
+
+template<typename Index, std::size_t NumIndices, bool RowMajor>
+struct tensor_vsize_index_linearization_helper<Index, NumIndices, 0, RowMajor>
+{
+ static EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ Index run(array<Index, NumIndices> const& indices, std::vector<DenseIndex> const&)
+ {
+ return array_get<RowMajor ? 0 : NumIndices - 1>(indices);
+ }
+};
+} // end namespace internal
+
+
+namespace internal {
+
+template <typename DenseIndex, int NumDims> struct array_size<const DSizes<DenseIndex, NumDims> > {
+ static const size_t value = NumDims;
+};
+template <typename DenseIndex, int NumDims> struct array_size<DSizes<DenseIndex, NumDims> > {
+ static const size_t value = NumDims;
+};
+#ifndef EIGEN_EMULATE_CXX11_META_H
+template <typename std::ptrdiff_t... Indices> struct array_size<const Sizes<Indices...> > {
+static const std::ptrdiff_t value = Sizes<Indices...>::count;
+};
+template <typename std::ptrdiff_t... Indices> struct array_size<Sizes<Indices...> > {
+static const std::ptrdiff_t value = Sizes<Indices...>::count;
+};
+template <std::ptrdiff_t n, typename std::ptrdiff_t... Indices> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::ptrdiff_t array_get(const Sizes<Indices...>&) {
+ return get<n, internal::numeric_list<std::size_t, Indices...> >::value;
+}
+template <std::ptrdiff_t n> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::ptrdiff_t array_get(const Sizes<>&) {
+ eigen_assert(false && "should never be called");
+ return -1;
+}
+#else
+template <std::size_t V1, std::size_t V2, std::size_t V3, std::size_t V4, std::size_t V5> struct array_size<const Sizes<V1,V2,V3,V4,V5> > {
+ static const size_t value = Sizes<V1,V2,V3,V4,V5>::count;
+};
+template <std::size_t V1, std::size_t V2, std::size_t V3, std::size_t V4, std::size_t V5> struct array_size<Sizes<V1,V2,V3,V4,V5> > {
+ static const size_t value = Sizes<V1,V2,V3,V4,V5>::count;
+};
+template <std::size_t n, std::size_t V1, std::size_t V2, std::size_t V3, std::size_t V4, std::size_t V5> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE std::size_t array_get(const Sizes<V1,V2,V3,V4,V5>&) {
+ return get<n, typename Sizes<V1,V2,V3,V4,V5>::Base>::value;
+}
+
+#endif
+
+
+template <typename Dims1, typename Dims2, size_t n, size_t m>
+struct sizes_match_below_dim {
+ static EIGEN_DEVICE_FUNC inline bool run(Dims1&, Dims2&) {
+ return false;
+ }
+};
+template <typename Dims1, typename Dims2, size_t n>
+struct sizes_match_below_dim<Dims1, Dims2, n, n> {
+ static EIGEN_DEVICE_FUNC inline bool run(Dims1& dims1, Dims2& dims2) {
+ return (array_get<n-1>(dims1) == array_get<n-1>(dims2)) &
+ sizes_match_below_dim<Dims1, Dims2, n-1, n-1>::run(dims1, dims2);
+ }
+};
+template <typename Dims1, typename Dims2>
+struct sizes_match_below_dim<Dims1, Dims2, 0, 0> {
+ static EIGEN_DEVICE_FUNC inline bool run(Dims1&, Dims2&) {
+ return true;
+ }
+};
+
+} // end namespace internal
+
+
+template <typename Dims1, typename Dims2>
+EIGEN_DEVICE_FUNC bool dimensions_match(Dims1& dims1, Dims2& dims2) {
+ return internal::sizes_match_below_dim<Dims1, Dims2, internal::array_size<Dims1>::value, internal::array_size<Dims2>::value>::run(dims1, dims2);
+}
+
+} // end namespace Eigen
+
+#endif // EIGEN_CXX11_TENSOR_TENSOR_DIMENSIONS_H