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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2015 Eugene Brevdo <ebrevdo@google.com>
// 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;
using Eigen::array;
using Eigen::Pair;
template <int DataLayout>
static void test_simple_index_pairs()
{
Tensor<float, 4, DataLayout> tensor(2,3,5,7);
tensor.setRandom();
tensor = (tensor + tensor.constant(0.5)).log();
Tensor<Pair<DenseIndex, float>, 4, DataLayout> index_pairs(2,3,5,7);
index_pairs = tensor.index_pairs();
for (DenseIndex n = 0; n < 2*3*5*7; ++n) {
const Pair<DenseIndex, float>& v = index_pairs.coeff(n);
VERIFY_IS_EQUAL(v.first, n);
VERIFY_IS_EQUAL(v.second, tensor.coeff(n));
}
}
template <int DataLayout>
static void test_index_pairs_dim()
{
Tensor<float, 4, DataLayout> tensor(2,3,5,7);
tensor.setRandom();
tensor = (tensor + tensor.constant(0.5)).log();
Tensor<Pair<DenseIndex, float>, 4, DataLayout> index_pairs(2,3,5,7);
index_pairs = tensor.index_pairs();
for (Eigen::DenseIndex n = 0; n < tensor.size(); ++n) {
const Pair<DenseIndex, float>& v = index_pairs(n); //(i, j, k, l);
VERIFY_IS_EQUAL(v.first, n);
VERIFY_IS_EQUAL(v.second, tensor(n));
}
}
template <int DataLayout>
static void test_argmax_pair_reducer()
{
Tensor<float, 4, DataLayout> tensor(2,3,5,7);
tensor.setRandom();
tensor = (tensor + tensor.constant(0.5)).log();
Tensor<Pair<DenseIndex, float>, 4, DataLayout> index_pairs(2,3,5,7);
index_pairs = tensor.index_pairs();
Tensor<Pair<DenseIndex, float>, 0, DataLayout> reduced;
DimensionList<DenseIndex, 4> dims;
reduced = index_pairs.reduce(
dims, internal::ArgMaxPairReducer<Pair<DenseIndex, float> >());
Tensor<float, 0, DataLayout> maxi = tensor.maximum();
VERIFY_IS_EQUAL(maxi(), reduced(0).second);
array<DenseIndex, 3> reduce_dims;
for (int d = 0; d < 3; ++d) reduce_dims[d] = d;
Tensor<Pair<DenseIndex, float>, 1, DataLayout> reduced_by_dims(7);
reduced_by_dims = index_pairs.reduce(
reduce_dims, internal::ArgMaxPairReducer<Pair<DenseIndex, float> >());
Tensor<float, 1, DataLayout> max_by_dims = tensor.maximum(reduce_dims);
for (int l = 0; l < 7; ++l) {
VERIFY_IS_EQUAL(max_by_dims(l), reduced_by_dims(l).second);
}
}
template <int DataLayout>
static void test_argmin_pair_reducer()
{
Tensor<float, 4, DataLayout> tensor(2,3,5,7);
tensor.setRandom();
tensor = (tensor + tensor.constant(0.5)).log();
Tensor<Pair<DenseIndex, float>, 4, DataLayout> index_pairs(2,3,5,7);
index_pairs = tensor.index_pairs();
Tensor<Pair<DenseIndex, float>, 0, DataLayout> reduced;
DimensionList<DenseIndex, 4> dims;
reduced = index_pairs.reduce(
dims, internal::ArgMinPairReducer<Pair<DenseIndex, float> >());
Tensor<float, 0, DataLayout> mini = tensor.minimum();
VERIFY_IS_EQUAL(mini(), reduced(0).second);
array<DenseIndex, 3> reduce_dims;
for (int d = 0; d < 3; ++d) reduce_dims[d] = d;
Tensor<Pair<DenseIndex, float>, 1, DataLayout> reduced_by_dims(7);
reduced_by_dims = index_pairs.reduce(
reduce_dims, internal::ArgMinPairReducer<Pair<DenseIndex, float> >());
Tensor<float, 1, DataLayout> min_by_dims = tensor.minimum(reduce_dims);
for (int l = 0; l < 7; ++l) {
VERIFY_IS_EQUAL(min_by_dims(l), reduced_by_dims(l).second);
}
}
template <int DataLayout>
static void test_simple_argmax()
{
Tensor<float, 4, DataLayout> tensor(2,3,5,7);
tensor.setRandom();
tensor = (tensor + tensor.constant(0.5)).log();
tensor(0,0,0,0) = 10.0;
Tensor<DenseIndex, 0, DataLayout> tensor_argmax;
tensor_argmax = tensor.argmax();
VERIFY_IS_EQUAL(tensor_argmax(0), 0);
tensor(1,2,4,6) = 20.0;
tensor_argmax = tensor.argmax();
VERIFY_IS_EQUAL(tensor_argmax(0), 2*3*5*7 - 1);
}
template <int DataLayout>
static void test_simple_argmin()
{
Tensor<float, 4, DataLayout> tensor(2,3,5,7);
tensor.setRandom();
tensor = (tensor + tensor.constant(0.5)).log();
tensor(0,0,0,0) = -10.0;
Tensor<DenseIndex, 0, DataLayout> tensor_argmin;
tensor_argmin = tensor.argmin();
VERIFY_IS_EQUAL(tensor_argmin(0), 0);
tensor(1,2,4,6) = -20.0;
tensor_argmin = tensor.argmin();
VERIFY_IS_EQUAL(tensor_argmin(0), 2*3*5*7 - 1);
}
template <int DataLayout>
static void test_argmax_dim()
{
Tensor<float, 4, DataLayout> tensor(2,3,5,7);
std::vector<int> dims {2, 3, 5, 7};
for (int dim = 0; dim < 4; ++dim) {
tensor.setRandom();
tensor = (tensor + tensor.constant(0.5)).log();
Tensor<DenseIndex, 3, DataLayout> tensor_argmax;
array<DenseIndex, 4> ix;
for (int i = 0; i < 2; ++i) {
for (int j = 0; j < 3; ++j) {
for (int k = 0; k < 5; ++k) {
for (int l = 0; l < 7; ++l) {
ix[0] = i; ix[1] = j; ix[2] = k; ix[3] = l;
if (ix[dim] != 0) continue;
// suppose dim == 1, then for all i, k, l, set tensor(i, 0, k, l) = 10.0
tensor(ix) = 10.0;
}
}
}
}
tensor_argmax = tensor.argmax(dim);
VERIFY_IS_EQUAL(tensor_argmax.size(),
ptrdiff_t(2*3*5*7 / tensor.dimension(dim)));
for (ptrdiff_t n = 0; n < tensor_argmax.size(); ++n) {
// Expect max to be in the first index of the reduced dimension
VERIFY_IS_EQUAL(tensor_argmax.data()[n], 0);
}
for (int i = 0; i < 2; ++i) {
for (int j = 0; j < 3; ++j) {
for (int k = 0; k < 5; ++k) {
for (int l = 0; l < 7; ++l) {
ix[0] = i; ix[1] = j; ix[2] = k; ix[3] = l;
if (ix[dim] != tensor.dimension(dim) - 1) continue;
// suppose dim == 1, then for all i, k, l, set tensor(i, 2, k, l) = 20.0
tensor(ix) = 20.0;
}
}
}
}
tensor_argmax = tensor.argmax(dim);
VERIFY_IS_EQUAL(tensor_argmax.size(),
ptrdiff_t(2*3*5*7 / tensor.dimension(dim)));
for (ptrdiff_t n = 0; n < tensor_argmax.size(); ++n) {
// Expect max to be in the last index of the reduced dimension
VERIFY_IS_EQUAL(tensor_argmax.data()[n], tensor.dimension(dim) - 1);
}
}
}
template <int DataLayout>
static void test_argmin_dim()
{
Tensor<float, 4, DataLayout> tensor(2,3,5,7);
std::vector<int> dims {2, 3, 5, 7};
for (int dim = 0; dim < 4; ++dim) {
tensor.setRandom();
tensor = (tensor + tensor.constant(0.5)).log();
Tensor<DenseIndex, 3, DataLayout> tensor_argmin;
array<DenseIndex, 4> ix;
for (int i = 0; i < 2; ++i) {
for (int j = 0; j < 3; ++j) {
for (int k = 0; k < 5; ++k) {
for (int l = 0; l < 7; ++l) {
ix[0] = i; ix[1] = j; ix[2] = k; ix[3] = l;
if (ix[dim] != 0) continue;
// suppose dim == 1, then for all i, k, l, set tensor(i, 0, k, l) = -10.0
tensor(ix) = -10.0;
}
}
}
}
tensor_argmin = tensor.argmin(dim);
VERIFY_IS_EQUAL(tensor_argmin.size(),
ptrdiff_t(2*3*5*7 / tensor.dimension(dim)));
for (ptrdiff_t n = 0; n < tensor_argmin.size(); ++n) {
// Expect min to be in the first index of the reduced dimension
VERIFY_IS_EQUAL(tensor_argmin.data()[n], 0);
}
for (int i = 0; i < 2; ++i) {
for (int j = 0; j < 3; ++j) {
for (int k = 0; k < 5; ++k) {
for (int l = 0; l < 7; ++l) {
ix[0] = i; ix[1] = j; ix[2] = k; ix[3] = l;
if (ix[dim] != tensor.dimension(dim) - 1) continue;
// suppose dim == 1, then for all i, k, l, set tensor(i, 2, k, l) = -20.0
tensor(ix) = -20.0;
}
}
}
}
tensor_argmin = tensor.argmin(dim);
VERIFY_IS_EQUAL(tensor_argmin.size(),
ptrdiff_t(2*3*5*7 / tensor.dimension(dim)));
for (ptrdiff_t n = 0; n < tensor_argmin.size(); ++n) {
// Expect min to be in the last index of the reduced dimension
VERIFY_IS_EQUAL(tensor_argmin.data()[n], tensor.dimension(dim) - 1);
}
}
}
EIGEN_DECLARE_TEST(cxx11_tensor_argmax)
{
CALL_SUBTEST(test_simple_index_pairs<RowMajor>());
CALL_SUBTEST(test_simple_index_pairs<ColMajor>());
CALL_SUBTEST(test_index_pairs_dim<RowMajor>());
CALL_SUBTEST(test_index_pairs_dim<ColMajor>());
CALL_SUBTEST(test_argmax_pair_reducer<RowMajor>());
CALL_SUBTEST(test_argmax_pair_reducer<ColMajor>());
CALL_SUBTEST(test_argmin_pair_reducer<RowMajor>());
CALL_SUBTEST(test_argmin_pair_reducer<ColMajor>());
CALL_SUBTEST(test_simple_argmax<RowMajor>());
CALL_SUBTEST(test_simple_argmax<ColMajor>());
CALL_SUBTEST(test_simple_argmin<RowMajor>());
CALL_SUBTEST(test_simple_argmin<ColMajor>());
CALL_SUBTEST(test_argmax_dim<RowMajor>());
CALL_SUBTEST(test_argmax_dim<ColMajor>());
CALL_SUBTEST(test_argmin_dim<RowMajor>());
CALL_SUBTEST(test_argmin_dim<ColMajor>());
}