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 
bandmatrix(const MatrixType & _m)12 template<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 
61 using Eigen::internal::BandMatrix;
62 
test_bandmatrix()63 void 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