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85 lines
3.0 KiB
C++
85 lines
3.0 KiB
C++
// This file is triangularView of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@gmail.com>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#include "main.h"
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template<typename MatrixType> void bandmatrix(const MatrixType& _m)
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{
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typedef typename MatrixType::Scalar Scalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrixType;
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int rows = _m.rows();
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int cols = _m.cols();
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int supers = _m.supers();
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int subs = _m.subs();
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MatrixType m(rows,cols,supers,subs);
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DenseMatrixType dm1(rows,cols);
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dm1.setZero();
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m.diagonal().setConstant(123);
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dm1.diagonal().setConstant(123);
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for (int i=1; i<=m.supers();++i)
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{
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m.diagonal(i).setConstant(static_cast<RealScalar>(i));
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dm1.diagonal(i).setConstant(static_cast<RealScalar>(i));
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}
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for (int i=1; i<=m.subs();++i)
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{
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m.diagonal(-i).setConstant(-static_cast<RealScalar>(i));
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dm1.diagonal(-i).setConstant(-static_cast<RealScalar>(i));
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}
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//std::cerr << m.m_data << "\n\n" << m.toDense() << "\n\n" << dm1 << "\n\n\n\n";
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VERIFY_IS_APPROX(dm1,m.toDense());
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for (int i=0; i<cols; ++i)
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{
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m.col(i).setConstant(static_cast<RealScalar>(i+1));
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dm1.col(i).setConstant(static_cast<RealScalar>(i+1));
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}
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int d = std::min(rows,cols);
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int a = std::max(0,cols-d-supers);
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int b = std::max(0,rows-d-subs);
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if(a>0) dm1.block(0,d+supers,rows,a).setZero();
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dm1.block(0,supers+1,cols-supers-1-a,cols-supers-1-a).template triangularView<UpperTriangular>().setZero();
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dm1.block(subs+1,0,rows-subs-1-b,rows-subs-1-b).template triangularView<LowerTriangular>().setZero();
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if(b>0) dm1.block(d+subs,0,b,cols).setZero();
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//std::cerr << m.m_data << "\n\n" << m.toDense() << "\n\n" << dm1 << "\n\n";
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VERIFY_IS_APPROX(dm1,m.toDense());
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}
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void test_bandmatrix()
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{
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for(int i = 0; i < 10*g_repeat ; i++) {
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int rows = ei_random<int>(1,10);
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int cols = ei_random<int>(1,10);
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int sups = ei_random<int>(0,cols-1);
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int subs = ei_random<int>(0,rows-1);
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CALL_SUBTEST( bandmatrix(BandMatrix<float>(rows,cols,sups,subs)) );
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}
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}
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