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#include <iostream>
#include <boost/numeric/ublas/vector.hpp>
#include <boost/numeric/ublas/matrix.hpp>
#include <boost/numeric/ublas/matrix_sparse.hpp>
#include <boost/numeric/ublas/triangular.hpp>
#include <boost/numeric/ublas/io.hpp>
#include "utils.hpp"
namespace ublas = boost::numeric::ublas;
static const double TOL(1.0e-5); ///< Used for comparing two real numbers.
static const int n(10); ///< defines the test matrix size
template<class mat, class vec>
double diff(const mat& A, const vec& x, const vec& b) {
return ublas::norm_2(prod(A, x) - b);
}
// efficiently fill matrix depending on majority
template<class mat>
void fill_matrix(mat& A, ublas::column_major_tag) {
for (int i=0; i<n; ++i) {
if (i-1>=0) {
A(i-1, i) = -1;
}
A(i, i) = 1;
if (i+1<n) {
A(i+1, i) = -2;
}
}
}
template<class mat>
void fill_matrix(mat& A, ublas::row_major_tag) {
for (int i=0; i<n; ++i) {
if (i-1>=0) {
A(i, i-1) = -1;
}
A(i, i) = 1;
if (i+1<n) {
A(i, i+1) = -2;
}
}
}
template<class mat>
BOOST_UBLAS_TEST_DEF ( test_inplace_solve )
{
mat A(n, n);
A.clear();
fill_matrix(A, typename mat::orientation_category());
ublas::vector<double> b(n, 1.0);
// The test matrix is not triangular, but is interpreted that way by
// inplace_solve using the lower_tag/upper_tags. For checking, the
// triangular_adaptor makes A triangular for comparison.
{
ublas::vector<double> x(b);
ublas::inplace_solve(A, x, ublas::lower_tag());
BOOST_UBLAS_TEST_CHECK(diff(ublas::triangular_adaptor<mat, ublas::lower>(A), x, b) < TOL);
}
{
ublas::vector<double> x(b);
ublas::inplace_solve(A, x, ublas::upper_tag());
BOOST_UBLAS_TEST_CHECK(diff (ublas::triangular_adaptor<mat, ublas::upper>(A), x, b) < TOL);
}
{
ublas::vector<double> x(b);
ublas::inplace_solve(x, A, ublas::lower_tag());
BOOST_UBLAS_TEST_CHECK(diff (trans(ublas::triangular_adaptor<mat, ublas::lower>(A)), x, b) < TOL);
}
{
ublas::vector<double> x(b);
ublas::inplace_solve(x, A, ublas::upper_tag());
BOOST_UBLAS_TEST_CHECK(diff (trans(ublas::triangular_adaptor<mat, ublas::upper>(A)), x , b) < TOL);
}
}
int main() {
// typedefs are needed as macros do not work with "," in template arguments
BOOST_UBLAS_TEST_BEGIN();
#ifdef USE_MATRIX
typedef ublas::matrix<double, ublas::row_major> mat_doub_rowmaj;
typedef ublas::matrix<double, ublas::column_major> mat_doub_colmaj;
BOOST_UBLAS_TEST_DO( test_inplace_solve<mat_doub_rowmaj> );
BOOST_UBLAS_TEST_DO( test_inplace_solve<mat_doub_colmaj> );
#endif
#ifdef USE_COMPRESSED_MATRIX
typedef ublas::compressed_matrix<double, ublas::row_major> commat_doub_rowmaj;
typedef ublas::compressed_matrix<double, ublas::column_major> commat_doub_colmaj;
BOOST_UBLAS_TEST_DO( test_inplace_solve<commat_doub_rowmaj> );
BOOST_UBLAS_TEST_DO( test_inplace_solve<commat_doub_colmaj> );
#endif
#ifdef USE_MAPPED_MATRIX
typedef ublas::mapped_matrix<double, ublas::row_major> mapmat_doub_rowmaj;
typedef ublas::mapped_matrix<double, ublas::column_major> mapmat_doub_colmaj;
BOOST_UBLAS_TEST_DO( test_inplace_solve<mapmat_doub_rowmaj> );
BOOST_UBLAS_TEST_DO( test_inplace_solve<mapmat_doub_colmaj> );
#endif
#ifdef USE_COORDINATE_MATRIX
typedef ublas::coordinate_matrix<double, ublas::row_major> cormat_doub_rowmaj;
typedef ublas::coordinate_matrix<double, ublas::column_major> cormat_doub_colmaj;
BOOST_UBLAS_TEST_DO( test_inplace_solve<cormat_doub_rowmaj> );
BOOST_UBLAS_TEST_DO( test_inplace_solve<cormat_doub_colmaj> );
#endif
#ifdef USE_MAPPED_VECTOR_OF_MAPPED_VECTOR
typedef ublas::mapped_vector_of_mapped_vector<double, ublas::row_major> mvmv_doub_rowmaj;
typedef ublas::mapped_vector_of_mapped_vector<double, ublas::column_major> mvmv_doub_colmaj;
BOOST_UBLAS_TEST_DO( test_inplace_solve<mvmv_doub_rowmaj> );
BOOST_UBLAS_TEST_DO( test_inplace_solve<mvmv_doub_colmaj> );
#endif
BOOST_UBLAS_TEST_END();
}
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