[136] | 1 | // This file is part of Eigen, a lightweight C++ template library
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| 2 | // for linear algebra.
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| 3 | //
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| 4 | // Copyright (C) 2010 Benoit Jacob <jacob.benoit.1@gmail.com>
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| 5 | //
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| 6 | // This Source Code Form is subject to the terms of the Mozilla
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| 7 | // Public License v. 2.0. If a copy of the MPL was not distributed
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| 8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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| 9 |
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| 10 | #include "main.h"
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| 11 | #include <Eigen/SVD>
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| 12 |
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| 13 | template<typename MatrixType> void upperbidiag(const MatrixType& m)
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| 14 | {
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| 15 | const typename MatrixType::Index rows = m.rows();
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| 16 | const typename MatrixType::Index cols = m.cols();
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| 17 |
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| 18 | typedef Matrix<typename MatrixType::RealScalar, MatrixType::RowsAtCompileTime, MatrixType::ColsAtCompileTime> RealMatrixType;
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| 19 | typedef Matrix<typename MatrixType::Scalar, MatrixType::ColsAtCompileTime, MatrixType::RowsAtCompileTime> TransposeMatrixType;
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| 20 |
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| 21 | MatrixType a = MatrixType::Random(rows,cols);
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| 22 | internal::UpperBidiagonalization<MatrixType> ubd(a);
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| 23 | RealMatrixType b(rows, cols);
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| 24 | b.setZero();
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| 25 | b.block(0,0,cols,cols) = ubd.bidiagonal();
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| 26 | MatrixType c = ubd.householderU() * b * ubd.householderV().adjoint();
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| 27 | VERIFY_IS_APPROX(a,c);
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| 28 | TransposeMatrixType d = ubd.householderV() * b.adjoint() * ubd.householderU().adjoint();
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| 29 | VERIFY_IS_APPROX(a.adjoint(),d);
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| 30 | }
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| 31 |
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| 32 | void test_upperbidiagonalization()
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| 33 | {
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| 34 | for(int i = 0; i < g_repeat; i++) {
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| 35 | CALL_SUBTEST_1( upperbidiag(MatrixXf(3,3)) );
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| 36 | CALL_SUBTEST_2( upperbidiag(MatrixXd(17,12)) );
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| 37 | CALL_SUBTEST_3( upperbidiag(MatrixXcf(20,20)) );
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| 38 | CALL_SUBTEST_4( upperbidiag(MatrixXcd(16,15)) );
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| 39 | CALL_SUBTEST_5( upperbidiag(Matrix<float,6,4>()) );
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| 40 | CALL_SUBTEST_6( upperbidiag(Matrix<float,5,5>()) );
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| 41 | CALL_SUBTEST_7( upperbidiag(Matrix<double,4,3>()) );
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| 42 | }
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| 43 | }
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