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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 Matrix<typename MatrixType::RealScalar, MatrixType::RowsAtCompileTime,  MatrixType::ColsAtCompileTime> RealMatrixType;
19   typedef Matrix<typename MatrixType::Scalar, MatrixType::ColsAtCompileTime,  MatrixType::RowsAtCompileTime> TransposeMatrixType;
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   TransposeMatrixType d = ubd.householderV() * b.adjoint() * ubd.householderU().adjoint();
29   VERIFY_IS_APPROX(a.adjoint(),d);
30 }
31 
test_upperbidiagonalization()32 void test_upperbidiagonalization()
33 {
34   for(int i = 0; i < g_repeat; i++) {
35    CALL_SUBTEST_1( upperbidiag(MatrixXf(3,3)) );
36    CALL_SUBTEST_2( upperbidiag(MatrixXd(17,12)) );
37    CALL_SUBTEST_3( upperbidiag(MatrixXcf(20,20)) );
38    CALL_SUBTEST_4( upperbidiag(MatrixXcd(16,15)) );
39    CALL_SUBTEST_5( upperbidiag(Matrix<float,6,4>()) );
40    CALL_SUBTEST_6( upperbidiag(Matrix<float,5,5>()) );
41    CALL_SUBTEST_7( upperbidiag(Matrix<double,4,3>()) );
42   }
43 }
44