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 (at) 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 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 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
