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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2017 Gagan Goel <gagan.nith@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;
using Eigen::array;
template <int DataLayout>
static void test_0D_trace() {
Tensor<float, 0, DataLayout> tensor;
tensor.setRandom();
array<ptrdiff_t, 0> dims;
Tensor<float, 0, DataLayout> result = tensor.trace(dims);
VERIFY_IS_EQUAL(result(), tensor());
}
template <int DataLayout>
static void test_all_dimensions_trace() {
Tensor<float, 3, DataLayout> tensor1(5, 5, 5);
tensor1.setRandom();
Tensor<float, 0, DataLayout> result1 = tensor1.trace();
VERIFY_IS_EQUAL(result1.rank(), 0);
float sum = 0.0f;
for (int i = 0; i < 5; ++i) {
sum += tensor1(i, i, i);
}
VERIFY_IS_EQUAL(result1(), sum);
Tensor<float, 5, DataLayout> tensor2(7, 7, 7, 7, 7);
array<ptrdiff_t, 5> dims({{2, 1, 0, 3, 4}});
Tensor<float, 0, DataLayout> result2 = tensor2.trace(dims);
VERIFY_IS_EQUAL(result2.rank(), 0);
sum = 0.0f;
for (int i = 0; i < 7; ++i) {
sum += tensor2(i, i, i, i, i);
}
VERIFY_IS_EQUAL(result2(), sum);
}
template <int DataLayout>
static void test_simple_trace() {
Tensor<float, 3, DataLayout> tensor1(3, 5, 3);
tensor1.setRandom();
array<ptrdiff_t, 2> dims1({{0, 2}});
Tensor<float, 1, DataLayout> result1 = tensor1.trace(dims1);
VERIFY_IS_EQUAL(result1.rank(), 1);
VERIFY_IS_EQUAL(result1.dimension(0), 5);
float sum = 0.0f;
for (int i = 0; i < 5; ++i) {
sum = 0.0f;
for (int j = 0; j < 3; ++j) {
sum += tensor1(j, i, j);
}
VERIFY_IS_EQUAL(result1(i), sum);
}
Tensor<float, 4, DataLayout> tensor2(5, 5, 7, 7);
tensor2.setRandom();
array<ptrdiff_t, 2> dims2({{2, 3}});
Tensor<float, 2, DataLayout> result2 = tensor2.trace(dims2);
VERIFY_IS_EQUAL(result2.rank(), 2);
VERIFY_IS_EQUAL(result2.dimension(0), 5);
VERIFY_IS_EQUAL(result2.dimension(1), 5);
for (int i = 0; i < 5; ++i) {
for (int j = 0; j < 5; ++j) {
sum = 0.0f;
for (int k = 0; k < 7; ++k) {
sum += tensor2(i, j, k, k);
}
VERIFY_IS_EQUAL(result2(i, j), sum);
}
}
array<ptrdiff_t, 2> dims3({{1, 0}});
Tensor<float, 2, DataLayout> result3 = tensor2.trace(dims3);
VERIFY_IS_EQUAL(result3.rank(), 2);
VERIFY_IS_EQUAL(result3.dimension(0), 7);
VERIFY_IS_EQUAL(result3.dimension(1), 7);
for (int i = 0; i < 7; ++i) {
for (int j = 0; j < 7; ++j) {
sum = 0.0f;
for (int k = 0; k < 5; ++k) {
sum += tensor2(k, k, i, j);
}
VERIFY_IS_EQUAL(result3(i, j), sum);
}
}
Tensor<float, 5, DataLayout> tensor3(3, 7, 3, 7, 3);
tensor3.setRandom();
array<ptrdiff_t, 3> dims4({{0, 2, 4}});
Tensor<float, 2, DataLayout> result4 = tensor3.trace(dims4);
VERIFY_IS_EQUAL(result4.rank(), 2);
VERIFY_IS_EQUAL(result4.dimension(0), 7);
VERIFY_IS_EQUAL(result4.dimension(1), 7);
for (int i = 0; i < 7; ++i) {
for (int j = 0; j < 7; ++j) {
sum = 0.0f;
for (int k = 0; k < 3; ++k) {
sum += tensor3(k, i, k, j, k);
}
VERIFY_IS_EQUAL(result4(i, j), sum);
}
}
Tensor<float, 5, DataLayout> tensor4(3, 7, 4, 7, 5);
tensor4.setRandom();
array<ptrdiff_t, 2> dims5({{1, 3}});
Tensor<float, 3, DataLayout> result5 = tensor4.trace(dims5);
VERIFY_IS_EQUAL(result5.rank(), 3);
VERIFY_IS_EQUAL(result5.dimension(0), 3);
VERIFY_IS_EQUAL(result5.dimension(1), 4);
VERIFY_IS_EQUAL(result5.dimension(2), 5);
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 4; ++j) {
for (int k = 0; k < 5; ++k) {
sum = 0.0f;
for (int l = 0; l < 7; ++l) {
sum += tensor4(i, l, j, l, k);
}
VERIFY_IS_EQUAL(result5(i, j, k), sum);
}
}
}
}
template<int DataLayout>
static void test_trace_in_expr() {
Tensor<float, 4, DataLayout> tensor(2, 3, 5, 3);
tensor.setRandom();
array<ptrdiff_t, 2> dims({{1, 3}});
Tensor<float, 2, DataLayout> result(2, 5);
result = result.constant(1.0f) - tensor.trace(dims);
VERIFY_IS_EQUAL(result.rank(), 2);
VERIFY_IS_EQUAL(result.dimension(0), 2);
VERIFY_IS_EQUAL(result.dimension(1), 5);
float sum = 0.0f;
for (int i = 0; i < 2; ++i) {
for (int j = 0; j < 5; ++j) {
sum = 0.0f;
for (int k = 0; k < 3; ++k) {
sum += tensor(i, k, j, k);
}
VERIFY_IS_EQUAL(result(i, j), 1.0f - sum);
}
}
}
void test_cxx11_tensor_trace() {
CALL_SUBTEST(test_0D_trace<ColMajor>());
CALL_SUBTEST(test_0D_trace<RowMajor>());
CALL_SUBTEST(test_all_dimensions_trace<ColMajor>());
CALL_SUBTEST(test_all_dimensions_trace<RowMajor>());
CALL_SUBTEST(test_simple_trace<ColMajor>());
CALL_SUBTEST(test_simple_trace<RowMajor>());
CALL_SUBTEST(test_trace_in_expr<ColMajor>());
CALL_SUBTEST(test_trace_in_expr<RowMajor>());
}
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