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// -*- c++ -*-
/*
* Copyright (c) 2010-2012, Jim Bosch
* All rights reserved.
*
* ndarray is distributed under a simple BSD-like license;
* see the LICENSE file that should be present in the root
* of the source distribution, or alternately available at:
* https://github.com/ndarray/ndarray
*/
#include "ndarray/eigen.h"
#include "Eigen/SVD"
#define BOOST_TEST_DYN_LINK
#define BOOST_TEST_MODULE ndarray-eigen
#include "boost/test/unit_test.hpp"
template <typename T, typename U>
void testElements2(T const & a, U const & b) {
BOOST_CHECK( a.template getSize<0>() == b.rows() );
BOOST_CHECK( a.template getSize<1>() == b.cols() );
BOOST_CHECK( a.template getStride<0>() == b.rowStride() );
BOOST_CHECK( a.template getStride<1>() == b.colStride() );
for (int i = 0; i < b.rows(); ++i) {
for (int j = 0; j < b.cols(); ++j) {
BOOST_CHECK(&a[i][j] == &b(i,j));
}
}
}
template <typename T, typename U>
void testElements1(T const & a, U const & b) {
BOOST_CHECK( a.template getSize<0>() == b.size() );
BOOST_CHECK( a.template getStride<0>() == b.innerStride() );
for (int i = 0; i < b.size(); ++i) {
BOOST_CHECK(&a[i] == &b[i]);
}
}
template <int C, int Rows, int Cols>
void testEigenView(ndarray::EigenView<double,2,C,Eigen::ArrayXpr,Rows,Cols> b) {
ndarray::Array<double,2,C> a(b.shallow());
b.setRandom();
testElements2(a, b);
Eigen::Matrix<double,Rows,Eigen::Dynamic> m1(b.rows(), 6);
m1.setRandom(b.rows(), 6);
Eigen::Matrix<double,Eigen::Dynamic,Cols> m2(6, b.cols());
m2.setRandom(6, b.cols());
b.matrix() = m1 * m2;
Eigen::Matrix<double,Rows,Cols> m3 = m1 * m2;
for (int i = 0; i < b.rows(); ++i) {
for (int j = 0; j < b.cols(); ++j) {
BOOST_CHECK(a[i][j] == m3(i,j));
}
}
Eigen::Array<double,Rows,Cols> m4(b.rows(), b.cols());
m4.setRandom();
Eigen::Array<double,Rows,Cols> m5 = m4 * b;
Eigen::Array<double,Rows,Cols> m6 = m4 * m3.array();
BOOST_CHECK( (m5 == m6).all() );
}
template <int C, int Rows, int Cols>
void testEigenView(ndarray::EigenView<double,1,C,Eigen::ArrayXpr,Rows,Cols> b) {
ndarray::Array<double,1,C> a(b.shallow());
b.setRandom();
testElements1(a, b);
Eigen::Matrix<double,Rows,Eigen::Dynamic> m1(b.rows(), 6);
m1.setRandom(b.rows(), 6);
Eigen::Matrix<double,Eigen::Dynamic,Cols> m2(6, b.cols());
m2.setRandom(6, b.cols());
b.matrix() = m1 * m2;
Eigen::Matrix<double,Rows,Cols> m3 = m1 * m2;
for (int i = 0; i < b.rows(); ++i) {
BOOST_CHECK(a[i] == m3[i]);
}
Eigen::Array<double,Rows,Cols> m4(b.rows(), b.cols());
m4.setRandom();
Eigen::Array<double,Rows,Cols> m5 = m4 * b;
Eigen::Array<double,Rows,Cols> m6 = m4 * m3.array();
BOOST_CHECK( (m5 == m6).all() );
}
template <int C, int Rows, int Cols>
void testEigenView(ndarray::EigenView<double,2,C,Eigen::MatrixXpr,Rows,Cols> b) {
ndarray::Array<double,2,C> a(b.shallow());
b.setRandom();
testElements2(a, b);
Eigen::Matrix<double,Rows,Eigen::Dynamic> m1(b.rows(), 6);
m1.setRandom(b.rows(), 6);
Eigen::Matrix<double,Eigen::Dynamic,Cols> m2(6, b.cols());
m2.setRandom(6, b.cols());
b = m1 * m2;
Eigen::Matrix<double,Rows,Cols> m3 = m1 * m2;
for (int i = 0; i < b.rows(); ++i) {
for (int j = 0; j < b.cols(); ++j) {
BOOST_CHECK(a[i][j] == m3(i,j));
}
}
Eigen::Array<double,Rows,Cols> m4(b.rows(), b.cols());
m4.setRandom();
Eigen::Array<double,Rows,Cols> m5 = m4 * b.array();
Eigen::Array<double,Rows,Cols> m6 = m4 * m3.array();
BOOST_CHECK( (m5 == m6).all() );
}
template <int C, int Rows, int Cols>
void testEigenView(ndarray::EigenView<double,1,C,Eigen::MatrixXpr,Rows,Cols> b) {
ndarray::Array<double,1,C> a(b.shallow());
b.setRandom();
testElements1(a, b);
Eigen::Matrix<double,Rows,Eigen::Dynamic> m1(b.rows(), 6);
m1.setRandom(b.rows(), 6);
Eigen::Matrix<double,Eigen::Dynamic,Cols> m2(6, b.cols());
m2.setRandom(6, b.cols());
b = m1 * m2;
Eigen::Matrix<double,Rows,Cols> m3 = m1 * m2;
for (int i = 0; i < b.rows(); ++i) {
BOOST_CHECK(a[i] == m3[i]);
}
Eigen::Array<double,Rows,Cols> m4(b.rows(), b.cols());
m4.setRandom();
Eigen::Array<double,Rows,Cols> m5 = m4 * b.array();
Eigen::Array<double,Rows,Cols> m6 = m4 * m3.array();
BOOST_CHECK( (m5 == m6).all() );
}
template <typename XprKind>
void invokeEigenViewTests() {
ndarray::Array<double,2,2> a22(ndarray::allocate(5,4));
testEigenView(a22.asEigen<XprKind>());
testEigenView(a22.asEigen<XprKind,5,4>());
testEigenView(a22.transpose().asEigen<XprKind>());
testEigenView(a22.transpose().asEigen<XprKind,4,5>());
ndarray::Array<double,2,1> a21(a22[ndarray::view()(0,3)]);
testEigenView(a21.asEigen<XprKind>());
testEigenView(a21.asEigen<XprKind,5,3>());
testEigenView(a21.transpose().asEigen<XprKind>());
testEigenView(a21.transpose().asEigen<XprKind,3,5>());
ndarray::Array<double,2,0> a20(a22[ndarray::view()(0,4,2)]);
testEigenView(a20.asEigen<XprKind>());
testEigenView(a20.asEigen<XprKind,5,2>());
testEigenView(a20.transpose().asEigen<XprKind>());
testEigenView(a20.transpose().asEigen<XprKind,2,5>());
ndarray::Array<double,1,1> a11(ndarray::allocate(4));
testEigenView(a11.asEigen<XprKind>());
testEigenView(a11.asEigen<XprKind,4,1>());
testEigenView(a11.asEigen<XprKind,1,4>());
testEigenView(a11.transpose().asEigen<XprKind>());
testEigenView(a11.transpose().asEigen<XprKind,4,1>());
testEigenView(a11.transpose().asEigen<XprKind,1,4>());
ndarray::Array<double,1,0> a10(a11[ndarray::view(0,4,2)]);
testEigenView(a10.asEigen<XprKind>());
testEigenView(a10.asEigen<XprKind,2,1>());
testEigenView(a10.asEigen<XprKind,1,2>());
testEigenView(a10.transpose().asEigen<XprKind>());
testEigenView(a10.transpose().asEigen<XprKind,2,1>());
testEigenView(a10.transpose().asEigen<XprKind,1,2>());
}
BOOST_AUTO_TEST_CASE(EigenView) {
invokeEigenViewTests<Eigen::ArrayXpr>();
invokeEigenViewTests<Eigen::MatrixXpr>();
Eigen::MatrixXd m(Eigen::MatrixXd::Random(5,6));
ndarray::SelectEigenView<Eigen::MatrixXd>::Type v(ndarray::copy(m));
BOOST_CHECK( (v.array() == m.array()).all() );
}
template <typename SVD, typename Matrix, typename Vector>
void testSVD(Matrix const & a, Vector const & b, Vector & x) {
SVD svd(a, Eigen::ComputeThinU | Eigen::ComputeThinV);
x = svd.solve(b);
BOOST_CHECK((a.transpose() * a * x).isApprox(a.transpose() * b));
}
BOOST_AUTO_TEST_CASE(SVD) {
typedef ndarray::EigenView<double,2,2> Matrix;
typedef ndarray::EigenView<double,1,1> Vector;
Matrix a(ndarray::allocate(8,5));
Vector b(ndarray::allocate(8));
Vector x(ndarray::allocate(5));
a.setRandom();
b.setRandom();
testSVD< Eigen::JacobiSVD<Matrix::PlainEigenType> >(a, b, x);
}