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diff --git a/unsupported/test/cxx11_tensor_morphing.cpp b/unsupported/test/cxx11_tensor_morphing.cpp
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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/.
+
+#include "main.h"
+
+#include <Eigen/CXX11/Tensor>
+
+using Eigen::Tensor;
+
+template<typename>
+static void test_simple_reshape()
+{
+ Tensor<float, 5> tensor1(2,3,1,7,1);
+ tensor1.setRandom();
+
+ Tensor<float, 3> tensor2(2,3,7);
+ Tensor<float, 2> tensor3(6,7);
+ Tensor<float, 2> tensor4(2,21);
+
+ Tensor<float, 3>::Dimensions dim1(2,3,7);
+ tensor2 = tensor1.reshape(dim1);
+ Tensor<float, 2>::Dimensions dim2(6,7);
+ tensor3 = tensor1.reshape(dim2);
+ Tensor<float, 2>::Dimensions dim3(2,21);
+ tensor4 = tensor1.reshape(dim1).reshape(dim3);
+
+ for (int i = 0; i < 2; ++i) {
+ for (int j = 0; j < 3; ++j) {
+ for (int k = 0; k < 7; ++k) {
+ VERIFY_IS_EQUAL(tensor1(i,j,0,k,0), tensor2(i,j,k));
+ VERIFY_IS_EQUAL(tensor1(i,j,0,k,0), tensor3(i+2*j,k));
+ VERIFY_IS_EQUAL(tensor1(i,j,0,k,0), tensor4(i,j+3*k));
+ }
+ }
+ }
+}
+
+template<typename>
+static void test_reshape_in_expr() {
+ MatrixXf m1(2,3*5*7*11);
+ MatrixXf m2(3*5*7*11,13);
+ m1.setRandom();
+ m2.setRandom();
+ MatrixXf m3 = m1 * m2;
+
+ TensorMap<Tensor<float, 5>> tensor1(m1.data(), 2,3,5,7,11);
+ TensorMap<Tensor<float, 5>> tensor2(m2.data(), 3,5,7,11,13);
+ Tensor<float, 2>::Dimensions newDims1(2,3*5*7*11);
+ Tensor<float, 2>::Dimensions newDims2(3*5*7*11,13);
+ typedef Tensor<float, 1>::DimensionPair DimPair;
+ array<DimPair, 1> contract_along{{DimPair(1, 0)}};
+ Tensor<float, 2> tensor3(2,13);
+ tensor3 = tensor1.reshape(newDims1).contract(tensor2.reshape(newDims2), contract_along);
+
+ Map<MatrixXf> res(tensor3.data(), 2, 13);
+ for (int i = 0; i < 2; ++i) {
+ for (int j = 0; j < 13; ++j) {
+ VERIFY_IS_APPROX(res(i,j), m3(i,j));
+ }
+ }
+}
+
+template<typename>
+static void test_reshape_as_lvalue()
+{
+ Tensor<float, 3> tensor(2,3,7);
+ tensor.setRandom();
+
+ Tensor<float, 2> tensor2d(6,7);
+ Tensor<float, 3>::Dimensions dim(2,3,7);
+ tensor2d.reshape(dim) = tensor;
+
+ float scratch[2*3*1*7*1];
+ TensorMap<Tensor<float, 5>> tensor5d(scratch, 2,3,1,7,1);
+ tensor5d.reshape(dim).device(Eigen::DefaultDevice()) = tensor;
+
+ for (int i = 0; i < 2; ++i) {
+ for (int j = 0; j < 3; ++j) {
+ for (int k = 0; k < 7; ++k) {
+ VERIFY_IS_EQUAL(tensor2d(i+2*j,k), tensor(i,j,k));
+ VERIFY_IS_EQUAL(tensor5d(i,j,0,k,0), tensor(i,j,k));
+ }
+ }
+ }
+}
+
+template<int DataLayout>
+static void test_simple_slice()
+{
+ Tensor<float, 5, DataLayout> tensor(2,3,5,7,11);
+ tensor.setRandom();
+
+ Tensor<float, 5, DataLayout> slice1(1,1,1,1,1);
+ Eigen::DSizes<ptrdiff_t, 5> indices(1,2,3,4,5);
+ Eigen::DSizes<ptrdiff_t, 5> sizes(1,1,1,1,1);
+ slice1 = tensor.slice(indices, sizes);
+ VERIFY_IS_EQUAL(slice1(0,0,0,0,0), tensor(1,2,3,4,5));
+
+ Tensor<float, 5, DataLayout> slice2(1,1,2,2,3);
+ Eigen::DSizes<ptrdiff_t, 5> indices2(1,1,3,4,5);
+ Eigen::DSizes<ptrdiff_t, 5> sizes2(1,1,2,2,3);
+ slice2 = tensor.slice(indices2, sizes2);
+ for (int i = 0; i < 2; ++i) {
+ for (int j = 0; j < 2; ++j) {
+ for (int k = 0; k < 3; ++k) {
+ VERIFY_IS_EQUAL(slice2(0,0,i,j,k), tensor(1,1,3+i,4+j,5+k));
+ }
+ }
+ }
+}
+
+template<typename=void>
+static void test_const_slice()
+{
+ const float b[1] = {42};
+ TensorMap<Tensor<const float, 1> > m(b, 1);
+ DSizes<DenseIndex, 1> offsets;
+ offsets[0] = 0;
+ TensorRef<Tensor<const float, 1> > slice_ref(m.slice(offsets, m.dimensions()));
+ VERIFY_IS_EQUAL(slice_ref(0), 42);
+}
+
+template<int DataLayout>
+static void test_slice_in_expr() {
+ typedef Matrix<float, Dynamic, Dynamic, DataLayout> Mtx;
+ Mtx m1(7,7);
+ Mtx m2(3,3);
+ m1.setRandom();
+ m2.setRandom();
+
+ Mtx m3 = m1.block(1, 2, 3, 3) * m2.block(0, 2, 3, 1);
+
+ TensorMap<Tensor<float, 2, DataLayout>> tensor1(m1.data(), 7, 7);
+ TensorMap<Tensor<float, 2, DataLayout>> tensor2(m2.data(), 3, 3);
+ Tensor<float, 2, DataLayout> tensor3(3,1);
+ typedef Tensor<float, 1>::DimensionPair DimPair;
+ array<DimPair, 1> contract_along{{DimPair(1, 0)}};
+
+ Eigen::DSizes<ptrdiff_t, 2> indices1(1,2);
+ Eigen::DSizes<ptrdiff_t, 2> sizes1(3,3);
+ Eigen::DSizes<ptrdiff_t, 2> indices2(0,2);
+ Eigen::DSizes<ptrdiff_t, 2> sizes2(3,1);
+ tensor3 = tensor1.slice(indices1, sizes1).contract(tensor2.slice(indices2, sizes2), contract_along);
+
+ Map<Mtx> res(tensor3.data(), 3, 1);
+ for (int i = 0; i < 3; ++i) {
+ for (int j = 0; j < 1; ++j) {
+ VERIFY_IS_APPROX(res(i,j), m3(i,j));
+ }
+ }
+
+ // Take an arbitrary slice of an arbitrarily sized tensor.
+ TensorMap<Tensor<const float, 2, DataLayout>> tensor4(m1.data(), 7, 7);
+ Tensor<float, 1, DataLayout> tensor6 = tensor4.reshape(DSizes<ptrdiff_t, 1>(7*7)).exp().slice(DSizes<ptrdiff_t, 1>(0), DSizes<ptrdiff_t, 1>(35));
+ for (int i = 0; i < 35; ++i) {
+ VERIFY_IS_APPROX(tensor6(i), expf(tensor4.data()[i]));
+ }
+}
+
+template<int DataLayout>
+static void test_slice_as_lvalue()
+{
+ Tensor<float, 3, DataLayout> tensor1(2,2,7);
+ tensor1.setRandom();
+ Tensor<float, 3, DataLayout> tensor2(2,2,7);
+ tensor2.setRandom();
+ Tensor<float, 3, DataLayout> tensor3(4,3,5);
+ tensor3.setRandom();
+ Tensor<float, 3, DataLayout> tensor4(4,3,2);
+ tensor4.setRandom();
+ Tensor<float, 3, DataLayout> tensor5(10,13,12);
+ tensor5.setRandom();
+
+ Tensor<float, 3, DataLayout> result(4,5,7);
+ Eigen::DSizes<ptrdiff_t, 3> sizes12(2,2,7);
+ Eigen::DSizes<ptrdiff_t, 3> first_slice(0,0,0);
+ result.slice(first_slice, sizes12) = tensor1;
+ Eigen::DSizes<ptrdiff_t, 3> second_slice(2,0,0);
+ result.slice(second_slice, sizes12).device(Eigen::DefaultDevice()) = tensor2;
+
+ Eigen::DSizes<ptrdiff_t, 3> sizes3(4,3,5);
+ Eigen::DSizes<ptrdiff_t, 3> third_slice(0,2,0);
+ result.slice(third_slice, sizes3) = tensor3;
+
+ Eigen::DSizes<ptrdiff_t, 3> sizes4(4,3,2);
+ Eigen::DSizes<ptrdiff_t, 3> fourth_slice(0,2,5);
+ result.slice(fourth_slice, sizes4) = tensor4;
+
+ for (int j = 0; j < 2; ++j) {
+ for (int k = 0; k < 7; ++k) {
+ for (int i = 0; i < 2; ++i) {
+ VERIFY_IS_EQUAL(result(i,j,k), tensor1(i,j,k));
+ VERIFY_IS_EQUAL(result(i+2,j,k), tensor2(i,j,k));
+ }
+ }
+ }
+ for (int i = 0; i < 4; ++i) {
+ for (int j = 2; j < 5; ++j) {
+ for (int k = 0; k < 5; ++k) {
+ VERIFY_IS_EQUAL(result(i,j,k), tensor3(i,j-2,k));
+ }
+ for (int k = 5; k < 7; ++k) {
+ VERIFY_IS_EQUAL(result(i,j,k), tensor4(i,j-2,k-5));
+ }
+ }
+ }
+
+ Eigen::DSizes<ptrdiff_t, 3> sizes5(4,5,7);
+ Eigen::DSizes<ptrdiff_t, 3> fifth_slice(0,0,0);
+ result.slice(fifth_slice, sizes5) = tensor5.slice(fifth_slice, sizes5);
+ for (int i = 0; i < 4; ++i) {
+ for (int j = 2; j < 5; ++j) {
+ for (int k = 0; k < 7; ++k) {
+ VERIFY_IS_EQUAL(result(i,j,k), tensor5(i,j,k));
+ }
+ }
+ }
+}
+
+template<int DataLayout>
+static void test_slice_raw_data()
+{
+ Tensor<float, 4, DataLayout> tensor(3,5,7,11);
+ tensor.setRandom();
+
+ Eigen::DSizes<ptrdiff_t, 4> offsets(1,2,3,4);
+ Eigen::DSizes<ptrdiff_t, 4> extents(1,1,1,1);
+ typedef TensorEvaluator<decltype(tensor.slice(offsets, extents)), DefaultDevice> SliceEvaluator;
+ auto slice1 = SliceEvaluator(tensor.slice(offsets, extents), DefaultDevice());
+ VERIFY_IS_EQUAL(slice1.dimensions().TotalSize(), 1);
+ VERIFY_IS_EQUAL(slice1.data()[0], tensor(1,2,3,4));
+
+ if (DataLayout == ColMajor) {
+ extents = Eigen::DSizes<ptrdiff_t, 4>(2,1,1,1);
+ auto slice2 = SliceEvaluator(tensor.slice(offsets, extents), DefaultDevice());
+ VERIFY_IS_EQUAL(slice2.dimensions().TotalSize(), 2);
+ VERIFY_IS_EQUAL(slice2.data()[0], tensor(1,2,3,4));
+ VERIFY_IS_EQUAL(slice2.data()[1], tensor(2,2,3,4));
+ } else {
+ extents = Eigen::DSizes<ptrdiff_t, 4>(1,1,1,2);
+ auto slice2 = SliceEvaluator(tensor.slice(offsets, extents), DefaultDevice());
+ VERIFY_IS_EQUAL(slice2.dimensions().TotalSize(), 2);
+ VERIFY_IS_EQUAL(slice2.data()[0], tensor(1,2,3,4));
+ VERIFY_IS_EQUAL(slice2.data()[1], tensor(1,2,3,5));
+ }
+
+ extents = Eigen::DSizes<ptrdiff_t, 4>(1,2,1,1);
+ auto slice3 = SliceEvaluator(tensor.slice(offsets, extents), DefaultDevice());
+ VERIFY_IS_EQUAL(slice3.dimensions().TotalSize(), 2);
+ VERIFY_IS_EQUAL(slice3.data(), static_cast<float*>(0));
+
+ if (DataLayout == ColMajor) {
+ offsets = Eigen::DSizes<ptrdiff_t, 4>(0,2,3,4);
+ extents = Eigen::DSizes<ptrdiff_t, 4>(3,2,1,1);
+ auto slice4 = SliceEvaluator(tensor.slice(offsets, extents), DefaultDevice());
+ VERIFY_IS_EQUAL(slice4.dimensions().TotalSize(), 6);
+ for (int i = 0; i < 3; ++i) {
+ for (int j = 0; j < 2; ++j) {
+ VERIFY_IS_EQUAL(slice4.data()[i+3*j], tensor(i,2+j,3,4));
+ }
+ }
+ } else {
+ offsets = Eigen::DSizes<ptrdiff_t, 4>(1,2,3,0);
+ extents = Eigen::DSizes<ptrdiff_t, 4>(1,1,2,11);
+ auto slice4 = SliceEvaluator(tensor.slice(offsets, extents), DefaultDevice());
+ VERIFY_IS_EQUAL(slice4.dimensions().TotalSize(), 22);
+ for (int l = 0; l < 11; ++l) {
+ for (int k = 0; k < 2; ++k) {
+ VERIFY_IS_EQUAL(slice4.data()[l+11*k], tensor(1,2,3+k,l));
+ }
+ }
+ }
+
+ if (DataLayout == ColMajor) {
+ offsets = Eigen::DSizes<ptrdiff_t, 4>(0,0,0,4);
+ extents = Eigen::DSizes<ptrdiff_t, 4>(3,5,7,2);
+ auto slice5 = SliceEvaluator(tensor.slice(offsets, extents), DefaultDevice());
+ VERIFY_IS_EQUAL(slice5.dimensions().TotalSize(), 210);
+ for (int i = 0; i < 3; ++i) {
+ for (int j = 0; j < 5; ++j) {
+ for (int k = 0; k < 7; ++k) {
+ for (int l = 0; l < 2; ++l) {
+ int slice_index = i + 3 * (j + 5 * (k + 7 * l));
+ VERIFY_IS_EQUAL(slice5.data()[slice_index], tensor(i,j,k,l+4));
+ }
+ }
+ }
+ }
+ } else {
+ offsets = Eigen::DSizes<ptrdiff_t, 4>(1,0,0,0);
+ extents = Eigen::DSizes<ptrdiff_t, 4>(2,5,7,11);
+ auto slice5 = SliceEvaluator(tensor.slice(offsets, extents), DefaultDevice());
+ VERIFY_IS_EQUAL(slice5.dimensions().TotalSize(), 770);
+ for (int l = 0; l < 11; ++l) {
+ for (int k = 0; k < 7; ++k) {
+ for (int j = 0; j < 5; ++j) {
+ for (int i = 0; i < 2; ++i) {
+ int slice_index = l + 11 * (k + 7 * (j + 5 * i));
+ VERIFY_IS_EQUAL(slice5.data()[slice_index], tensor(i+1,j,k,l));
+ }
+ }
+ }
+ }
+
+ }
+
+ offsets = Eigen::DSizes<ptrdiff_t, 4>(0,0,0,0);
+ extents = Eigen::DSizes<ptrdiff_t, 4>(3,5,7,11);
+ auto slice6 = SliceEvaluator(tensor.slice(offsets, extents), DefaultDevice());
+ VERIFY_IS_EQUAL(slice6.dimensions().TotalSize(), 3*5*7*11);
+ VERIFY_IS_EQUAL(slice6.data(), tensor.data());
+}
+
+
+template<int DataLayout>
+static void test_strided_slice()
+{
+ typedef Tensor<float, 5, DataLayout> Tensor5f;
+ typedef Eigen::DSizes<Eigen::DenseIndex, 5> Index5;
+ typedef Tensor<float, 2, DataLayout> Tensor2f;
+ typedef Eigen::DSizes<Eigen::DenseIndex, 2> Index2;
+ Tensor<float, 5, DataLayout> tensor(2,3,5,7,11);
+ Tensor<float, 2, DataLayout> tensor2(7,11);
+ tensor.setRandom();
+ tensor2.setRandom();
+
+ if (true) {
+ Tensor2f slice(2,3);
+ Index2 strides(-2,-1);
+ Index2 indicesStart(5,7);
+ Index2 indicesStop(0,4);
+ slice = tensor2.stridedSlice(indicesStart, indicesStop, strides);
+ for (int j = 0; j < 2; ++j) {
+ for (int k = 0; k < 3; ++k) {
+ VERIFY_IS_EQUAL(slice(j,k), tensor2(5-2*j,7-k));
+ }
+ }
+ }
+
+ if(true) {
+ Tensor2f slice(0,1);
+ Index2 strides(1,1);
+ Index2 indicesStart(5,4);
+ Index2 indicesStop(5,5);
+ slice = tensor2.stridedSlice(indicesStart, indicesStop, strides);
+ }
+
+ if(true) { // test clamped degenerate interavls
+ Tensor2f slice(7,11);
+ Index2 strides(1,-1);
+ Index2 indicesStart(-3,20); // should become 0,10
+ Index2 indicesStop(20,-11); // should become 11, -1
+ slice = tensor2.stridedSlice(indicesStart, indicesStop, strides);
+ for (int j = 0; j < 7; ++j) {
+ for (int k = 0; k < 11; ++k) {
+ VERIFY_IS_EQUAL(slice(j,k), tensor2(j,10-k));
+ }
+ }
+ }
+
+ if(true) {
+ Tensor5f slice1(1,1,1,1,1);
+ Eigen::DSizes<Eigen::DenseIndex, 5> indicesStart(1, 2, 3, 4, 5);
+ Eigen::DSizes<Eigen::DenseIndex, 5> indicesStop(2, 3, 4, 5, 6);
+ Eigen::DSizes<Eigen::DenseIndex, 5> strides(1, 1, 1, 1, 1);
+ slice1 = tensor.stridedSlice(indicesStart, indicesStop, strides);
+ VERIFY_IS_EQUAL(slice1(0,0,0,0,0), tensor(1,2,3,4,5));
+ }
+
+ if(true) {
+ Tensor5f slice(1,1,2,2,3);
+ Index5 start(1, 1, 3, 4, 5);
+ Index5 stop(2, 2, 5, 6, 8);
+ Index5 strides(1, 1, 1, 1, 1);
+ slice = tensor.stridedSlice(start, stop, strides);
+ for (int i = 0; i < 2; ++i) {
+ for (int j = 0; j < 2; ++j) {
+ for (int k = 0; k < 3; ++k) {
+ VERIFY_IS_EQUAL(slice(0,0,i,j,k), tensor(1,1,3+i,4+j,5+k));
+ }
+ }
+ }
+ }
+
+ if(true) {
+ Tensor5f slice(1,1,2,2,3);
+ Index5 strides3(1, 1, -2, 1, -1);
+ Index5 indices3Start(1, 1, 4, 4, 7);
+ Index5 indices3Stop(2, 2, 0, 6, 4);
+ slice = tensor.stridedSlice(indices3Start, indices3Stop, strides3);
+ for (int i = 0; i < 2; ++i) {
+ for (int j = 0; j < 2; ++j) {
+ for (int k = 0; k < 3; ++k) {
+ VERIFY_IS_EQUAL(slice(0,0,i,j,k), tensor(1,1,4-2*i,4+j,7-k));
+ }
+ }
+ }
+ }
+
+ if(false) { // tests degenerate interval
+ Tensor5f slice(1,1,2,2,3);
+ Index5 strides3(1, 1, 2, 1, 1);
+ Index5 indices3Start(1, 1, 4, 4, 7);
+ Index5 indices3Stop(2, 2, 0, 6, 4);
+ slice = tensor.stridedSlice(indices3Start, indices3Stop, strides3);
+ }
+}
+
+template<int DataLayout>
+static void test_strided_slice_write()
+{
+ typedef Tensor<float, 2, DataLayout> Tensor2f;
+ typedef Eigen::DSizes<Eigen::DenseIndex, 2> Index2;
+
+ Tensor<float, 2, DataLayout> tensor(7,11),tensor2(7,11);
+ tensor.setRandom();
+ tensor2=tensor;
+ Tensor2f slice(2,3);
+
+ slice.setRandom();
+
+ Index2 strides(1,1);
+ Index2 indicesStart(3,4);
+ Index2 indicesStop(5,7);
+ Index2 lengths(2,3);
+
+ tensor.slice(indicesStart,lengths)=slice;
+ tensor2.stridedSlice(indicesStart,indicesStop,strides)=slice;
+
+ for(int i=0;i<7;i++) for(int j=0;j<11;j++){
+ VERIFY_IS_EQUAL(tensor(i,j), tensor2(i,j));
+ }
+}
+
+
+template<int DataLayout>
+static void test_composition()
+{
+ Eigen::Tensor<float, 2, DataLayout> matrix(7, 11);
+ matrix.setRandom();
+
+ const DSizes<ptrdiff_t, 3> newDims(1, 1, 11);
+ Eigen::Tensor<float, 3, DataLayout> tensor =
+ matrix.slice(DSizes<ptrdiff_t, 2>(2, 0), DSizes<ptrdiff_t, 2>(1, 11)).reshape(newDims);
+
+ VERIFY_IS_EQUAL(tensor.dimensions().TotalSize(), 11);
+ VERIFY_IS_EQUAL(tensor.dimension(0), 1);
+ VERIFY_IS_EQUAL(tensor.dimension(1), 1);
+ VERIFY_IS_EQUAL(tensor.dimension(2), 11);
+ for (int i = 0; i < 11; ++i) {
+ VERIFY_IS_EQUAL(tensor(0,0,i), matrix(2,i));
+ }
+}
+
+
+void test_cxx11_tensor_morphing()
+{
+ CALL_SUBTEST_1(test_simple_reshape<void>());
+ CALL_SUBTEST_1(test_reshape_in_expr<void>());
+ CALL_SUBTEST_1(test_reshape_as_lvalue<void>());
+
+ CALL_SUBTEST_1(test_simple_slice<ColMajor>());
+ CALL_SUBTEST_1(test_simple_slice<RowMajor>());
+ CALL_SUBTEST_1(test_const_slice());
+ CALL_SUBTEST_2(test_slice_in_expr<ColMajor>());
+ CALL_SUBTEST_3(test_slice_in_expr<RowMajor>());
+ CALL_SUBTEST_4(test_slice_as_lvalue<ColMajor>());
+ CALL_SUBTEST_4(test_slice_as_lvalue<RowMajor>());
+ CALL_SUBTEST_5(test_slice_raw_data<ColMajor>());
+ CALL_SUBTEST_5(test_slice_raw_data<RowMajor>());
+
+ CALL_SUBTEST_6(test_strided_slice_write<ColMajor>());
+ CALL_SUBTEST_6(test_strided_slice<ColMajor>());
+ CALL_SUBTEST_6(test_strided_slice_write<RowMajor>());
+ CALL_SUBTEST_6(test_strided_slice<RowMajor>());
+
+ CALL_SUBTEST_7(test_composition<ColMajor>());
+ CALL_SUBTEST_7(test_composition<RowMajor>());
+}