upperbidiagonalization.cpp
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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 
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 
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 
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(Matrix<std::complex<double>,Dynamic,Dynamic,RowMajor>(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 }
Matrix3f m
Scalar * b
Definition: benchVecAdd.cpp:17
void upperbidiag(const MatrixType &m)
Scalar Scalar * c
Definition: benchVecAdd.cpp:17
MatrixXf MatrixType
Array33i a
#define VERIFY_IS_APPROX(a, b)
static int g_repeat
Definition: main.h:144
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition: Meta.h:33
const int Dynamic
Definition: Constants.h:21
The matrix class, also used for vectors and row-vectors.
void test_upperbidiagonalization()


gtsam
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autogenerated on Sat May 8 2021 02:51:21