1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2010 Benoit Jacob <jacob.benoit.1@gmail.com>
5 //
6 // This Source Code Form is subject to the terms of the Mozilla
7 // Public License v. 2.0. If a copy of the MPL was not distributed
8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9
10 #include "main.h"
11 #include <Eigen/SVD>
12
upperbidiag(const MatrixType & m)13 template<typename MatrixType> void upperbidiag(const MatrixType& m)
14 {
15 const typename MatrixType::Index rows = m.rows();
16 const typename MatrixType::Index cols = m.cols();
17
18 typedef typename MatrixType::Scalar Scalar;
19 typedef Matrix<typename MatrixType::RealScalar, MatrixType::RowsAtCompileTime, MatrixType::ColsAtCompileTime> RealMatrixType;
20
21 MatrixType a = MatrixType::Random(rows,cols);
22 internal::UpperBidiagonalization<MatrixType> ubd(a);
23 RealMatrixType b(rows, cols);
24 b.setZero();
25 b.block(0,0,cols,cols) = ubd.bidiagonal();
26 MatrixType c = ubd.householderU() * b * ubd.householderV().adjoint();
27 VERIFY_IS_APPROX(a,c);
28 }
29
test_upperbidiagonalization()30 void test_upperbidiagonalization()
31 {
32 for(int i = 0; i < g_repeat; i++) {
33 CALL_SUBTEST_1( upperbidiag(MatrixXf(3,3)) );
34 CALL_SUBTEST_2( upperbidiag(MatrixXd(17,12)) );
35 CALL_SUBTEST_3( upperbidiag(MatrixXcf(20,20)) );
36 CALL_SUBTEST_4( upperbidiag(MatrixXcd(16,15)) );
37 CALL_SUBTEST_5( upperbidiag(Matrix<float,6,4>()) );
38 CALL_SUBTEST_6( upperbidiag(Matrix<float,5,5>()) );
39 CALL_SUBTEST_7( upperbidiag(Matrix<double,4,3>()) );
40 }
41 }
42