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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2010 Benoit Jacob <jacob.benoit.1@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/SVD>
template<typename MatrixType> void upperbidiag(const MatrixType& m)
{
const typename MatrixType::Index rows = m.rows();
const typename MatrixType::Index cols = m.cols();
typedef Matrix<typename MatrixType::RealScalar, MatrixType::RowsAtCompileTime, MatrixType::ColsAtCompileTime> RealMatrixType;
typedef Matrix<typename MatrixType::Scalar, MatrixType::ColsAtCompileTime, MatrixType::RowsAtCompileTime> TransposeMatrixType;
MatrixType a = MatrixType::Random(rows,cols);
internal::UpperBidiagonalization<MatrixType> ubd(a);
RealMatrixType b(rows, cols);
b.setZero();
b.block(0,0,cols,cols) = ubd.bidiagonal();
MatrixType c = ubd.householderU() * b * ubd.householderV().adjoint();
VERIFY_IS_APPROX(a,c);
TransposeMatrixType d = ubd.householderV() * b.adjoint() * ubd.householderU().adjoint();
VERIFY_IS_APPROX(a.adjoint(),d);
}
void test_upperbidiagonalization()
{
for(int i = 0; i < g_repeat; i++) {
CALL_SUBTEST_1( upperbidiag(MatrixXf(3,3)) );
CALL_SUBTEST_2( upperbidiag(MatrixXd(17,12)) );
CALL_SUBTEST_3( upperbidiag(MatrixXcf(20,20)) );
CALL_SUBTEST_4( upperbidiag(MatrixXcd(16,15)) );
CALL_SUBTEST_5( upperbidiag(Matrix<float,6,4>()) );
CALL_SUBTEST_6( upperbidiag(Matrix<float,5,5>()) );
CALL_SUBTEST_7( upperbidiag(Matrix<double,4,3>()) );
}
}
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