bandmatrix.cpp revision c981c48f5bc9aefeffc0bcb0cc3934c2fae179dd 
1// This file is triangularView of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
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
12template<typename MatrixType> void bandmatrix(const MatrixType& _m)
13{
14  typedef typename MatrixType::Index Index;
15  typedef typename MatrixType::Scalar Scalar;
16  typedef typename NumTraits<Scalar>::Real RealScalar;
17  typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrixType;
18
19  Index rows = _m.rows();
20  Index cols = _m.cols();
21  Index supers = _m.supers();
22  Index subs = _m.subs();
23
24  MatrixType m(rows,cols,supers,subs);
25
26  DenseMatrixType dm1(rows,cols);
27  dm1.setZero();
28
29  m.diagonal().setConstant(123);
30  dm1.diagonal().setConstant(123);
31  for (int i=1; i<=m.supers();++i)
32  {
33    m.diagonal(i).setConstant(static_cast<RealScalar>(i));
34    dm1.diagonal(i).setConstant(static_cast<RealScalar>(i));
35  }
36  for (int i=1; i<=m.subs();++i)
37  {
38    m.diagonal(-i).setConstant(-static_cast<RealScalar>(i));
39    dm1.diagonal(-i).setConstant(-static_cast<RealScalar>(i));
40  }
41  //std::cerr << m.m_data << "\n\n" << m.toDense() << "\n\n" << dm1 << "\n\n\n\n";
42  VERIFY_IS_APPROX(dm1,m.toDenseMatrix());
43
44  for (int i=0; i<cols; ++i)
45  {
46    m.col(i).setConstant(static_cast<RealScalar>(i+1));
47    dm1.col(i).setConstant(static_cast<RealScalar>(i+1));
48  }
49  Index d = (std::min)(rows,cols);
50  Index a = std::max<Index>(0,cols-d-supers);
51  Index b = std::max<Index>(0,rows-d-subs);
52  if(a>0) dm1.block(0,d+supers,rows,a).setZero();
53  dm1.block(0,supers+1,cols-supers-1-a,cols-supers-1-a).template triangularView<Upper>().setZero();
54  dm1.block(subs+1,0,rows-subs-1-b,rows-subs-1-b).template triangularView<Lower>().setZero();
55  if(b>0) dm1.block(d+subs,0,b,cols).setZero();
56  //std::cerr << m.m_data << "\n\n" << m.toDense() << "\n\n" << dm1 << "\n\n";
57  VERIFY_IS_APPROX(dm1,m.toDenseMatrix());
58
59}
60
61using Eigen::internal::BandMatrix;
62
63void test_bandmatrix()
64{
65  typedef BandMatrix<float>::Index Index;
66
67  for(int i = 0; i < 10*g_repeat ; i++) {
68    Index rows = internal::random<Index>(1,10);
69    Index cols = internal::random<Index>(1,10);
70    Index sups = internal::random<Index>(0,cols-1);
71    Index subs = internal::random<Index>(0,rows-1);
72    CALL_SUBTEST(bandmatrix(BandMatrix<float>(rows,cols,sups,subs)) );
73  }
74}
75