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/***************************************************************************
* Copyright (c) Wolf Vollprecht, Johan Mabille and Sylvain Corlay *
* Copyright (c) QuantStack *
* *
* Distributed under the terms of the BSD 3-Clause License. *
* *
* The full license is in the file LICENSE, distributed with this software. *
****************************************************************************/
#include "xtensor/xarray.hpp"
#include "xtensor/xbuilder.hpp"
#include "xtensor/xstrided_view.hpp"
#include "xtensor/xview.hpp"
#include "gtest/gtest.h"
#include "xtensor-blas/xlinalg.hpp"
namespace xt
{
TEST(xdot, matrix_times_vector)
{
xarray<float> a = xt::ones<float>({1, 4});
xarray<float> b = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}, {1, 1, 1}};
xarray<float> e1 = {{13, 16, 19}};
auto r1 = linalg::dot(a, b);
EXPECT_EQ(e1, r1);
xarray<float> c = xt::ones<float>({3, 1});
auto r2 = linalg::dot(b, c);
xarray<float> e2 = {{6, 15, 24, 3}};
e2.reshape({4, 1});
EXPECT_EQ(e2, r2);
EXPECT_THROW(linalg::dot(b, a), std::runtime_error);
EXPECT_THROW(linalg::dot(c, b), std::runtime_error);
}
TEST(xdot, matrix_transpose_times_column)
{
xarray<double, layout_type::row_major> a = xt::ones<double>({2, 4});
xarray<double, layout_type::row_major> b = xt::ones<double>({2, 1});
auto r1 = linalg::dot(xt::transpose(a), b);
EXPECT_TRUE(all(equal(r1, 2.0)));
}
TEST(xdot, matrix_transpose_times_column_cm)
{
xarray<double, layout_type::column_major> a = xt::ones<double>({2, 4});
xarray<double, layout_type::column_major> b = xt::ones<double>({2, 1});
auto r1 = linalg::dot(xt::transpose(a), b);
EXPECT_TRUE(all(equal(r1, 2.0)));
}
TEST(xdot, square_matrix_times_vector)
{
xarray<float> a = {{1, 1, 1}};
xarray<float> b = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
auto r1 = linalg::dot(a, b);
xarray<float> e1 = {{12, 15, 18}};
EXPECT_EQ(r1, e1);
auto r2 = linalg::dot(b, xt::transpose(a));
xarray<float> e2 = xarray<float>::from_shape({3, 1});
e2(0, 0) = 6.f;
e2(1, 0) = 15.f;
e2(2, 0) = 24.f;
EXPECT_EQ(r2, e2);
EXPECT_THROW(linalg::dot(b, a), std::runtime_error);
}
TEST(xdot, vector_times_vector)
{
xarray<float> a = xt::ones<float>({1, 3});
xarray<float> b = xt::ones<float>({3, 1});
auto r1 = linalg::dot(a, b);
xarray<float> e1 = xarray<float>::from_shape({1, 1});
e1(0, 0) = 3;
EXPECT_EQ(e1, r1);
auto r2 = linalg::dot(b, a);
xarray<float> e2 = xt::ones<float>({3, 3});
EXPECT_EQ(e2, r2);
auto r3 = linalg::dot(b, e1);
EXPECT_EQ(b * 3.f, r3);
}
TEST(xdot, matrix_times_1d)
{
xarray<float> a = xt::ones<float>({5, 3});
xarray<float> b = eval(xt::ones<float>({5}));
xarray<float> c = eval(xt::ones<float>({3}));
auto r1 = linalg::dot(xt::transpose(a), b);
EXPECT_TRUE(all(equal(r1, 5.0)));
auto r2 = linalg::dot(c, xt::transpose(a));
EXPECT_TRUE(all(equal(r2, 3.0)));
auto r3 = linalg::dot(a, c);
EXPECT_TRUE(all(equal(r3, 3.0)));
auto r4 = linalg::dot(c, eval(xt::ones<float>({3, 5})));
EXPECT_TRUE(all(equal(r4, 3.0)));
}
TEST(xdot, A_times_A_T)
{
xarray<float> a = xt::ones<float>({5, 3});
auto r1 = linalg::dot(a, xt::transpose(a));
EXPECT_TRUE(all(equal(r1, 3.0)));
auto r2 = linalg::dot(xt::transpose(a), a);
EXPECT_TRUE(all(equal(r2, 5.0)));
}
TEST(xdot, matrix_times_vector_cm)
{
xarray<float, layout_type::column_major> a = xt::ones<float>({1, 4});
xarray<float, layout_type::column_major> b = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}, {1, 1, 1}};
xarray<float, layout_type::column_major> e1 = {{13, 16, 19}};
auto r1 = linalg::dot(a, b);
EXPECT_EQ(e1, r1);
xarray<float, layout_type::column_major> c = xt::ones<float>({3, 1});
auto r2 = linalg::dot(b, c);
xarray<float, layout_type::column_major> e2 = {{6, 15, 24, 3}};
e2.reshape({4, 1});
EXPECT_EQ(e2, r2);
EXPECT_THROW(linalg::dot(b, a), std::runtime_error);
EXPECT_THROW(linalg::dot(c, b), std::runtime_error);
}
TEST(xdot, square_matrix_times_vector_cm)
{
xarray<float, layout_type::column_major> a = {{1, 1, 1}};
xarray<float, layout_type::column_major> b = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
auto r1 = linalg::dot(a, b);
xarray<float, layout_type::column_major> e1 = {{12, 15, 18}};
EXPECT_EQ(r1, e1);
auto r2 = linalg::dot(b, xt::transpose(a));
xarray<float, layout_type::column_major> e2 = xarray<float, layout_type::column_major>::from_shape({3, 1}
);
e2(0, 0) = 6.f;
e2(1, 0) = 15.f;
e2(2, 0) = 24.f;
EXPECT_EQ(r2, e2);
EXPECT_THROW(linalg::dot(b, a), std::runtime_error);
}
TEST(xdot, vector_times_vector_cm)
{
xarray<float, layout_type::column_major> a = xt::ones<float>({1, 3});
xarray<float, layout_type::column_major> b = xt::ones<float>({3, 1});
auto r1 = linalg::dot(a, b);
xarray<float, layout_type::column_major> e1 = xarray<float, layout_type::column_major>::from_shape({1, 1}
);
e1(0, 0) = 3;
EXPECT_EQ(e1, r1);
auto r2 = linalg::dot(b, a);
xarray<float, layout_type::column_major> e2 = xt::ones<float>({3, 3});
EXPECT_EQ(e2, r2);
auto r3 = linalg::dot(b, e1);
EXPECT_EQ(b * 3.f, r3);
}
TEST(xdot, on_view)
{
xt::xarray<int> a = xt::reshape_view(xt::arange<int>(10 * 10 * 10), {10, 10, 10});
xt::xarray<int> b = xt::reshape_view(xt::arange<int>(10 * 10 * 10), {10, 10, 10});
auto res = xt::linalg::dot(view(a, 0, 0), view(b, 0, 0));
auto res1 = xt::linalg::dot(view(a, 0, range(0, 3)), transpose(view(b, 0, range(0, 3))));
EXPECT_EQ(res(0), 285.);
EXPECT_EQ(res1(0, 0), 285.);
EXPECT_EQ(res1(1, 2), 3635.);
EXPECT_EQ(res1.dimension(), 2u);
EXPECT_EQ(res1.shape()[0], 3u);
EXPECT_EQ(res1.shape()[1], 3u);
auto res2 = xt::linalg::dot(strided_view(a, {0, 0}), strided_view(b, {0, 0}));
auto res3 = xt::linalg::dot(
strided_view(a, {0, range(0, 3)}),
transpose(strided_view(b, {0, range(0, 3)}))
);
EXPECT_EQ(res2(0), 285.);
EXPECT_EQ(res3(0, 0), 285.);
EXPECT_EQ(res3(1, 2), 3635.);
EXPECT_EQ(res3.dimension(), 2u);
EXPECT_EQ(res3.shape()[0], 3u);
EXPECT_EQ(res3.shape()[1], 3u);
}
} // namespace xt
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