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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 (at) 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 
     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 
     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