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/* |
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* Copyright (C) 2000-2004 Object Oriented Parallel Simulation Engine (OOPSE) project |
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* |
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* Contact: oopse@oopse.org |
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* |
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* This program is free software; you can redistribute it and/or |
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* modify it under the terms of the GNU Lesser General Public License |
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* as published by the Free Software Foundation; either version 2.1 |
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* of the License, or (at your option) any later version. |
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* All we ask is that proper credit is given for our work, which includes |
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* - but is not limited to - adding the above copyright notice to the beginning |
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* of your source code files, and to any copyright notice that you may distribute |
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* with programs based on this work. |
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* |
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* This program is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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* GNU Lesser 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 License |
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* along with this program; if not, write to the Free Software |
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* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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* Copyright (c) 2005 The University of Notre Dame. All Rights Reserved. |
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* |
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* The University of Notre Dame grants you ("Licensee") a |
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* non-exclusive, royalty free, license to use, modify and |
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* redistribute this software in source and binary code form, provided |
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* that the following conditions are met: |
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* |
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* 1. Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in the |
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* documentation and/or other materials provided with the |
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* distribution. |
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* |
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* This software is provided "AS IS," without a warranty of any |
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* kind. All express or implied conditions, representations and |
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* warranties, including any implied warranty of merchantability, |
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* fitness for a particular purpose or non-infringement, are hereby |
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* excluded. The University of Notre Dame and its licensors shall not |
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* be liable for any damages suffered by licensee as a result of |
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* using, modifying or distributing the software or its |
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* derivatives. In no event will the University of Notre Dame or its |
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* licensors be liable for any lost revenue, profit or data, or for |
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* direct, indirect, special, consequential, incidental or punitive |
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* damages, however caused and regardless of the theory of liability, |
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* arising out of the use of or inability to use software, even if the |
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* University of Notre Dame has been advised of the possibility of |
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* such damages. |
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* |
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* SUPPORT OPEN SCIENCE! If you use OpenMD or its source code in your |
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* research, please cite the appropriate papers when you publish your |
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* work. Good starting points are: |
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* |
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* [1] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005). |
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* [2] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006). |
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* [3] Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008). |
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* [4] Kuang & Gezelter, J. Chem. Phys. 133, 164101 (2010). |
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* [5] Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011). |
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*/ |
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/** |
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* @file RectMatrix.hpp |
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* @author Teng Lin |
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#ifndef MATH_RECTMATRIX_HPP |
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#define MATH_RECTMATRIX_HPP |
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#include <math.h> |
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#include <cmath> |
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#include "Vector.hpp" |
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|
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namespace oopse { |
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namespace OpenMD { |
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|
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/** |
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* @class RectMatrix RectMatrix.hpp "math/RectMatrix.hpp" |
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* @brief rectangular matrix class |
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*/ |
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template<typename Real, unsigned int Row, unsigned int Col> |
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class RectMatrix { |
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public: |
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/** |
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* @class RectMatrix RectMatrix.hpp "math/RectMatrix.hpp" |
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* @brief rectangular matrix class |
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*/ |
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template<typename Real, unsigned int Row, unsigned int Col> |
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class RectMatrix { |
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public: |
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typedef Real ElemType; |
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typedef Real* ElemPoinerType; |
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|
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/** default constructor */ |
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RectMatrix() { |
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for (unsigned int i = 0; i < Row; i++) |
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for (unsigned int j = 0; j < Col; j++) |
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this->data_[i][j] = 0.0; |
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} |
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|
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/** default constructor */ |
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RectMatrix() { |
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for (unsigned int i = 0; i < Row; i++) |
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for (unsigned int j = 0; j < Col; j++) |
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data_[i][j] = 0.0; |
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} |
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/** Constructs and initializes every element of this matrix to a scalar */ |
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RectMatrix(Real s) { |
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for (unsigned int i = 0; i < Row; i++) |
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for (unsigned int j = 0; j < Col; j++) |
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this->data_[i][j] = s; |
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} |
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|
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/** Constructs and initializes every element of this matrix to a scalar */ |
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RectMatrix(Real s) { |
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for (unsigned int i = 0; i < Row; i++) |
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for (unsigned int j = 0; j < Col; j++) |
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data_[i][j] = s; |
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} |
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RectMatrix(Real* array) { |
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for (unsigned int i = 0; i < Row; i++) |
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for (unsigned int j = 0; j < Col; j++) |
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this->data_[i][j] = array[i * Row + j]; |
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} |
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|
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/** copy constructor */ |
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RectMatrix(const RectMatrix<Real, Row, Col>& m) { |
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*this = m; |
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} |
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|
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/** destructor*/ |
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~RectMatrix() {} |
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|
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/** copy assignment operator */ |
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RectMatrix<Real, Row, Col>& operator =(const RectMatrix<Real, Row, Col>& m) { |
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if (this == &m) |
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return *this; |
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/** copy constructor */ |
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RectMatrix(const RectMatrix<Real, Row, Col>& m) { |
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*this = m; |
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} |
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|
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for (unsigned int i = 0; i < Row; i++) |
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for (unsigned int j = 0; j < Col; j++) |
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data_[i][j] = m.data_[i][j]; |
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return *this; |
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} |
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|
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/** |
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* Return the reference of a single element of this matrix. |
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* @return the reference of a single element of this matrix |
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* @param i row index |
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* @param j colum index |
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*/ |
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double& operator()(unsigned int i, unsigned int j) { |
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//assert( i < Row && j < Col); |
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return data_[i][j]; |
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} |
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/** destructor*/ |
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~RectMatrix() {} |
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|
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/** |
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* Return the value of a single element of this matrix. |
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* @return the value of a single element of this matrix |
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* @param i row index |
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* @param j colum index |
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*/ |
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double operator()(unsigned int i, unsigned int j) const { |
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/** copy assignment operator */ |
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RectMatrix<Real, Row, Col>& operator =(const RectMatrix<Real, Row, Col>& m) { |
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if (this == &m) |
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return *this; |
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|
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for (unsigned int i = 0; i < Row; i++) |
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for (unsigned int j = 0; j < Col; j++) |
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this->data_[i][j] = m.data_[i][j]; |
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return *this; |
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} |
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return data_[i][j]; |
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} |
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/** |
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* Return the reference of a single element of this matrix. |
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* @return the reference of a single element of this matrix |
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* @param i row index |
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* @param j Column index |
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*/ |
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Real& operator()(unsigned int i, unsigned int j) { |
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//assert( i < Row && j < Col); |
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return this->data_[i][j]; |
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} |
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|
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/** |
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* Returns a row of this matrix as a vector. |
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* @return a row of this matrix as a vector |
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* @param row the row index |
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*/ |
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Vector<Real, Row> getRow(unsigned int row) { |
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Vector<Real, Row> v; |
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/** |
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* Return the value of a single element of this matrix. |
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* @return the value of a single element of this matrix |
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* @param i row index |
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* @param j Column index |
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*/ |
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Real operator()(unsigned int i, unsigned int j) const { |
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|
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return this->data_[i][j]; |
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} |
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|
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for (unsigned int i = 0; i < Row; i++) |
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v[i] = data_[row][i]; |
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/** |
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* Copy the internal data to an array |
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* @param array the pointer of destination array |
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*/ |
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void getArray(Real* array) { |
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for (unsigned int i = 0; i < Row; i++) { |
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for (unsigned int j = 0; j < Col; j++) { |
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array[i * Row + j] = this->data_[i][j]; |
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} |
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} |
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} |
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|
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return v; |
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} |
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/** |
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* Sets a row of this matrix |
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* @param row the row index |
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* @param v the vector to be set |
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*/ |
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void setRow(unsigned int row, const Vector<Real, Row>& v) { |
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/** Returns the pointer of internal array */ |
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Real* getArrayPointer() { |
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return &this->data_[0][0]; |
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} |
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|
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for (unsigned int i = 0; i < Row; i++) |
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data_[row][i] = v[i]; |
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} |
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/** |
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* Returns a row of this matrix as a vector. |
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* @return a row of this matrix as a vector |
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* @param row the row index |
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*/ |
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Vector<Real, Row> getRow(unsigned int row) { |
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Vector<Real, Row> v; |
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|
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/** |
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* Returns a column of this matrix as a vector. |
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* @return a column of this matrix as a vector |
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* @param col the column index |
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*/ |
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Vector<Real, Col> getColum(unsigned int col) { |
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Vector<Real, Col> v; |
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for (unsigned int i = 0; i < Col; i++) |
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v[i] = this->data_[row][i]; |
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|
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for (unsigned int j = 0; j < Col; j++) |
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v[j] = data_[j][col]; |
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return v; |
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} |
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|
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return v; |
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} |
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|
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/** |
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* Sets a column of this matrix |
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* @param col the column index |
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* @param v the vector to be set |
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*/ |
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void setColum(unsigned int col, const Vector<Real, Col>& v){ |
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/** |
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* Sets a row of this matrix |
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* @param row the row index |
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* @param v the vector to be set |
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*/ |
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void setRow(unsigned int row, const Vector<Real, Row>& v) { |
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|
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for (unsigned int j = 0; j < Col; j++) |
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data_[j][col] = v[j]; |
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} |
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for (unsigned int i = 0; i < Col; i++) |
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this->data_[row][i] = v[i]; |
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} |
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|
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/** |
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* swap two rows of this matrix |
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* @param i the first row |
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* @param j the second row |
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*/ |
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void swapRow(unsigned int i, unsigned int j){ |
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assert(i < Row && j < Row); |
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/** |
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* Returns a column of this matrix as a vector. |
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* @return a column of this matrix as a vector |
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* @param col the column index |
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*/ |
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Vector<Real, Col> getColumn(unsigned int col) { |
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Vector<Real, Col> v; |
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|
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for (unsigned int k = 0; k < Col; k++) |
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std::swap(data_[i][k], data_[j][k]); |
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} |
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for (unsigned int j = 0; j < Row; j++) |
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v[j] = this->data_[j][col]; |
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|
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/** |
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* swap two colums of this matrix |
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* @param i the first colum |
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* @param j the second colum |
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*/ |
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void swapColum(unsigned int i, unsigned int j){ |
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assert(i < Col && j < Col); |
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|
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for (unsigned int k = 0; k < Row; k++) |
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std::swap(data_[k][i], data_[k][j]); |
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} |
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return v; |
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} |
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|
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/** |
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* Tests if this matrix is identical to matrix m |
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* @return true if this matrix is equal to the matrix m, return false otherwise |
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* @m matrix to be compared |
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* |
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* @todo replace operator == by template function equal |
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*/ |
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bool operator ==(const RectMatrix<Real, Row, Col>& m) { |
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for (unsigned int i = 0; i < Row; i++) |
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for (unsigned int j = 0; j < Col; j++) |
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if (!equal(data_[i][j], m.data_[i][j])) |
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return false; |
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/** |
187 |
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* Sets a column of this matrix |
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* @param col the column index |
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* @param v the vector to be set |
190 |
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*/ |
191 |
> |
void setColumn(unsigned int col, const Vector<Real, Col>& v){ |
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|
|
193 |
< |
return true; |
194 |
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} |
193 |
> |
for (unsigned int j = 0; j < Row; j++) |
194 |
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this->data_[j][col] = v[j]; |
195 |
> |
} |
196 |
|
|
197 |
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/** |
198 |
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* Tests if this matrix is not equal to matrix m |
199 |
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* @return true if this matrix is not equal to the matrix m, return false otherwise |
200 |
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* @m matrix to be compared |
201 |
< |
*/ |
202 |
< |
bool operator !=(const RectMatrix<Real, Row, Col>& m) { |
203 |
< |
return !(*this == m); |
202 |
< |
} |
197 |
> |
/** |
198 |
> |
* swap two rows of this matrix |
199 |
> |
* @param i the first row |
200 |
> |
* @param j the second row |
201 |
> |
*/ |
202 |
> |
void swapRow(unsigned int i, unsigned int j){ |
203 |
> |
assert(i < Row && j < Row); |
204 |
|
|
205 |
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/** Negates the value of this matrix in place. */ |
206 |
< |
inline void negate() { |
207 |
< |
for (unsigned int i = 0; i < Row; i++) |
207 |
< |
for (unsigned int j = 0; j < Col; j++) |
208 |
< |
data_[i][j] = -data_[i][j]; |
209 |
< |
} |
210 |
< |
|
211 |
< |
/** |
212 |
< |
* Sets the value of this matrix to the negation of matrix m. |
213 |
< |
* @param m the source matrix |
214 |
< |
*/ |
215 |
< |
inline void negate(const RectMatrix<Real, Row, Col>& m) { |
216 |
< |
for (unsigned int i = 0; i < Row; i++) |
217 |
< |
for (unsigned int j = 0; j < Col; j++) |
218 |
< |
data_[i][j] = -m.data_[i][j]; |
219 |
< |
} |
220 |
< |
|
221 |
< |
/** |
222 |
< |
* Sets the value of this matrix to the sum of itself and m (*this += m). |
223 |
< |
* @param m the other matrix |
224 |
< |
*/ |
225 |
< |
inline void add( const RectMatrix<Real, Row, Col>& m ) { |
226 |
< |
for (unsigned int i = 0; i < Row; i++) |
227 |
< |
for (unsigned int j = 0; j < Col; j++) |
228 |
< |
data_[i][j] += m.data_[i][j]; |
229 |
< |
} |
230 |
< |
|
231 |
< |
/** |
232 |
< |
* Sets the value of this matrix to the sum of m1 and m2 (*this = m1 + m2). |
233 |
< |
* @param m1 the first matrix |
234 |
< |
* @param m2 the second matrix |
235 |
< |
*/ |
236 |
< |
inline void add( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2 ) { |
237 |
< |
for (unsigned int i = 0; i < Row; i++) |
238 |
< |
for (unsigned int j = 0; j < Col; j++) |
239 |
< |
data_[i][j] = m1.data_[i][j] + m2.data_[i][j]; |
240 |
< |
} |
241 |
< |
|
242 |
< |
/** |
243 |
< |
* Sets the value of this matrix to the difference of itself and m (*this -= m). |
244 |
< |
* @param m the other matrix |
245 |
< |
*/ |
246 |
< |
inline void sub( const RectMatrix<Real, Row, Col>& m ) { |
247 |
< |
for (unsigned int i = 0; i < Row; i++) |
248 |
< |
for (unsigned int j = 0; j < Col; j++) |
249 |
< |
data_[i][j] -= m.data_[i][j]; |
250 |
< |
} |
251 |
< |
|
252 |
< |
/** |
253 |
< |
* Sets the value of this matrix to the difference of matrix m1 and m2 (*this = m1 - m2). |
254 |
< |
* @param m1 the first matrix |
255 |
< |
* @param m2 the second matrix |
256 |
< |
*/ |
257 |
< |
inline void sub( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2){ |
258 |
< |
for (unsigned int i = 0; i < Row; i++) |
259 |
< |
for (unsigned int j = 0; j < Col; j++) |
260 |
< |
data_[i][j] = m1.data_[i][j] - m2.data_[i][j]; |
261 |
< |
} |
205 |
> |
for (unsigned int k = 0; k < Col; k++) |
206 |
> |
std::swap(this->data_[i][k], this->data_[j][k]); |
207 |
> |
} |
208 |
|
|
209 |
< |
/** |
210 |
< |
* Sets the value of this matrix to the scalar multiplication of itself (*this *= s). |
211 |
< |
* @param s the scalar value |
212 |
< |
*/ |
213 |
< |
inline void mul( double s ) { |
214 |
< |
for (unsigned int i = 0; i < Row; i++) |
215 |
< |
for (unsigned int j = 0; j < Col; j++) |
216 |
< |
data_[i][j] *= s; |
217 |
< |
} |
209 |
> |
/** |
210 |
> |
* swap two Columns of this matrix |
211 |
> |
* @param i the first Column |
212 |
> |
* @param j the second Column |
213 |
> |
*/ |
214 |
> |
void swapColumn(unsigned int i, unsigned int j){ |
215 |
> |
assert(i < Col && j < Col); |
216 |
> |
|
217 |
> |
for (unsigned int k = 0; k < Row; k++) |
218 |
> |
std::swap(this->data_[k][i], this->data_[k][j]); |
219 |
> |
} |
220 |
|
|
221 |
< |
/** |
222 |
< |
* Sets the value of this matrix to the scalar multiplication of matrix m (*this = s * m). |
223 |
< |
* @param s the scalar value |
224 |
< |
* @param m the matrix |
225 |
< |
*/ |
226 |
< |
inline void mul( double s, const RectMatrix<Real, Row, Col>& m ) { |
227 |
< |
for (unsigned int i = 0; i < Row; i++) |
228 |
< |
for (unsigned int j = 0; j < Col; j++) |
229 |
< |
data_[i][j] = s * m.data_[i][j]; |
230 |
< |
} |
221 |
> |
/** |
222 |
> |
* Tests if this matrix is identical to matrix m |
223 |
> |
* @return true if this matrix is equal to the matrix m, return false otherwise |
224 |
> |
* @m matrix to be compared |
225 |
> |
* |
226 |
> |
* @todo replace operator == by template function equal |
227 |
> |
*/ |
228 |
> |
bool operator ==(const RectMatrix<Real, Row, Col>& m) { |
229 |
> |
for (unsigned int i = 0; i < Row; i++) |
230 |
> |
for (unsigned int j = 0; j < Col; j++) |
231 |
> |
if (!equal(this->data_[i][j], m.data_[i][j])) |
232 |
> |
return false; |
233 |
|
|
234 |
< |
/** |
235 |
< |
* Sets the value of this matrix to the scalar division of itself (*this /= s ). |
286 |
< |
* @param s the scalar value |
287 |
< |
*/ |
288 |
< |
inline void div( double s) { |
289 |
< |
for (unsigned int i = 0; i < Row; i++) |
290 |
< |
for (unsigned int j = 0; j < Col; j++) |
291 |
< |
data_[i][j] /= s; |
292 |
< |
} |
234 |
> |
return true; |
235 |
> |
} |
236 |
|
|
237 |
< |
/** |
238 |
< |
* Sets the value of this matrix to the scalar division of matrix m (*this = m /s). |
239 |
< |
* @param s the scalar value |
240 |
< |
* @param m the matrix |
241 |
< |
*/ |
242 |
< |
inline void div( double s, const RectMatrix<Real, Row, Col>& m ) { |
243 |
< |
for (unsigned int i = 0; i < Row; i++) |
244 |
< |
for (unsigned int j = 0; j < Col; j++) |
302 |
< |
data_[i][j] = m.data_[i][j] / s; |
303 |
< |
} |
237 |
> |
/** |
238 |
> |
* Tests if this matrix is not equal to matrix m |
239 |
> |
* @return true if this matrix is not equal to the matrix m, return false otherwise |
240 |
> |
* @m matrix to be compared |
241 |
> |
*/ |
242 |
> |
bool operator !=(const RectMatrix<Real, Row, Col>& m) { |
243 |
> |
return !(*this == m); |
244 |
> |
} |
245 |
|
|
246 |
< |
/** |
247 |
< |
* Multiples a scalar into every element of this matrix. |
248 |
< |
* @param s the scalar value |
249 |
< |
*/ |
250 |
< |
RectMatrix<Real, Row, Col>& operator *=(const double s) { |
251 |
< |
this->mul(s); |
311 |
< |
return *this; |
312 |
< |
} |
313 |
< |
|
314 |
< |
/** |
315 |
< |
* Divides every element of this matrix by a scalar. |
316 |
< |
* @param s the scalar value |
317 |
< |
*/ |
318 |
< |
RectMatrix<Real, Row, Col>& operator /=(const double s) { |
319 |
< |
this->div(s); |
320 |
< |
return *this; |
321 |
< |
} |
322 |
< |
|
323 |
< |
/** |
324 |
< |
* Sets the value of this matrix to the sum of the other matrix and itself (*this += m). |
325 |
< |
* @param m the other matrix |
326 |
< |
*/ |
327 |
< |
RectMatrix<Real, Row, Col>& operator += (const RectMatrix<Real, Row, Col>& m) { |
328 |
< |
add(m); |
329 |
< |
return *this; |
330 |
< |
} |
331 |
< |
|
332 |
< |
/** |
333 |
< |
* Sets the value of this matrix to the differerence of itself and the other matrix (*this -= m) |
334 |
< |
* @param m the other matrix |
335 |
< |
*/ |
336 |
< |
RectMatrix<Real, Row, Col>& operator -= (const RectMatrix<Real, Row, Col>& m){ |
337 |
< |
sub(m); |
338 |
< |
return *this; |
339 |
< |
} |
340 |
< |
|
341 |
< |
/** Return the transpose of this matrix */ |
342 |
< |
RectMatrix<Real, Col, Row> transpose(){ |
343 |
< |
RectMatrix<Real, Col, Row> result; |
246 |
> |
/** Negates the value of this matrix in place. */ |
247 |
> |
inline void negate() { |
248 |
> |
for (unsigned int i = 0; i < Row; i++) |
249 |
> |
for (unsigned int j = 0; j < Col; j++) |
250 |
> |
this->data_[i][j] = -this->data_[i][j]; |
251 |
> |
} |
252 |
|
|
253 |
< |
for (unsigned int i = 0; i < Row; i++) |
254 |
< |
for (unsigned int j = 0; j < Col; j++) |
255 |
< |
result(j, i) = data_[i][j]; |
253 |
> |
/** |
254 |
> |
* Sets the value of this matrix to the negation of matrix m. |
255 |
> |
* @param m the source matrix |
256 |
> |
*/ |
257 |
> |
inline void negate(const RectMatrix<Real, Row, Col>& m) { |
258 |
> |
for (unsigned int i = 0; i < Row; i++) |
259 |
> |
for (unsigned int j = 0; j < Col; j++) |
260 |
> |
this->data_[i][j] = -m.data_[i][j]; |
261 |
> |
} |
262 |
> |
|
263 |
> |
/** |
264 |
> |
* Sets the value of this matrix to the sum of itself and m (*this += m). |
265 |
> |
* @param m the other matrix |
266 |
> |
*/ |
267 |
> |
inline void add( const RectMatrix<Real, Row, Col>& m ) { |
268 |
> |
for (unsigned int i = 0; i < Row; i++) |
269 |
> |
for (unsigned int j = 0; j < Col; j++) |
270 |
> |
this->data_[i][j] += m.data_[i][j]; |
271 |
> |
} |
272 |
> |
|
273 |
> |
/** |
274 |
> |
* Sets the value of this matrix to the sum of m1 and m2 (*this = m1 + m2). |
275 |
> |
* @param m1 the first matrix |
276 |
> |
* @param m2 the second matrix |
277 |
> |
*/ |
278 |
> |
inline void add( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2 ) { |
279 |
> |
for (unsigned int i = 0; i < Row; i++) |
280 |
> |
for (unsigned int j = 0; j < Col; j++) |
281 |
> |
this->data_[i][j] = m1.data_[i][j] + m2.data_[i][j]; |
282 |
> |
} |
283 |
> |
|
284 |
> |
/** |
285 |
> |
* Sets the value of this matrix to the difference of itself and m (*this -= m). |
286 |
> |
* @param m the other matrix |
287 |
> |
*/ |
288 |
> |
inline void sub( const RectMatrix<Real, Row, Col>& m ) { |
289 |
> |
for (unsigned int i = 0; i < Row; i++) |
290 |
> |
for (unsigned int j = 0; j < Col; j++) |
291 |
> |
this->data_[i][j] -= m.data_[i][j]; |
292 |
> |
} |
293 |
> |
|
294 |
> |
/** |
295 |
> |
* Sets the value of this matrix to the difference of matrix m1 and m2 (*this = m1 - m2). |
296 |
> |
* @param m1 the first matrix |
297 |
> |
* @param m2 the second matrix |
298 |
> |
*/ |
299 |
> |
inline void sub( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2){ |
300 |
> |
for (unsigned int i = 0; i < Row; i++) |
301 |
> |
for (unsigned int j = 0; j < Col; j++) |
302 |
> |
this->data_[i][j] = m1.data_[i][j] - m2.data_[i][j]; |
303 |
> |
} |
304 |
|
|
305 |
< |
return result; |
306 |
< |
} |
307 |
< |
|
308 |
< |
protected: |
309 |
< |
Real data_[Row][Col]; |
310 |
< |
}; |
305 |
> |
/** |
306 |
> |
* Sets the value of this matrix to the scalar multiplication of itself (*this *= s). |
307 |
> |
* @param s the scalar value |
308 |
> |
*/ |
309 |
> |
inline void mul( Real s ) { |
310 |
> |
for (unsigned int i = 0; i < Row; i++) |
311 |
> |
for (unsigned int j = 0; j < Col; j++) |
312 |
> |
this->data_[i][j] *= s; |
313 |
> |
} |
314 |
|
|
315 |
< |
/** Negate the value of every element of this matrix. */ |
316 |
< |
template<typename Real, unsigned int Row, unsigned int Col> |
317 |
< |
inline RectMatrix<Real, Row, Col> operator -(const RectMatrix<Real, Row, Col>& m) { |
318 |
< |
RectMatrix<Real, Row, Col> result(m); |
315 |
> |
/** |
316 |
> |
* Sets the value of this matrix to the scalar multiplication of matrix m (*this = s * m). |
317 |
> |
* @param s the scalar value |
318 |
> |
* @param m the matrix |
319 |
> |
*/ |
320 |
> |
inline void mul( Real s, const RectMatrix<Real, Row, Col>& m ) { |
321 |
> |
for (unsigned int i = 0; i < Row; i++) |
322 |
> |
for (unsigned int j = 0; j < Col; j++) |
323 |
> |
this->data_[i][j] = s * m.data_[i][j]; |
324 |
> |
} |
325 |
|
|
326 |
< |
result.negate(); |
326 |
> |
/** |
327 |
> |
* Sets the value of this matrix to the scalar division of itself (*this /= s ). |
328 |
> |
* @param s the scalar value |
329 |
> |
*/ |
330 |
> |
inline void div( Real s) { |
331 |
> |
for (unsigned int i = 0; i < Row; i++) |
332 |
> |
for (unsigned int j = 0; j < Col; j++) |
333 |
> |
this->data_[i][j] /= s; |
334 |
> |
} |
335 |
|
|
336 |
< |
return result; |
336 |
> |
/** |
337 |
> |
* Sets the value of this matrix to the scalar division of matrix m (*this = m /s). |
338 |
> |
* @param s the scalar value |
339 |
> |
* @param m the matrix |
340 |
> |
*/ |
341 |
> |
inline void div( Real s, const RectMatrix<Real, Row, Col>& m ) { |
342 |
> |
for (unsigned int i = 0; i < Row; i++) |
343 |
> |
for (unsigned int j = 0; j < Col; j++) |
344 |
> |
this->data_[i][j] = m.data_[i][j] / s; |
345 |
|
} |
346 |
< |
|
346 |
> |
|
347 |
|
/** |
348 |
< |
* Return the sum of two matrixes (m1 + m2). |
349 |
< |
* @return the sum of two matrixes |
350 |
< |
* @param m1 the first matrix |
351 |
< |
* @param m2 the second matrix |
352 |
< |
*/ |
353 |
< |
template<typename Real, unsigned int Row, unsigned int Col> |
354 |
< |
inline RectMatrix<Real, Row, Col> operator + (const RectMatrix<Real, Row, Col>& m1,const RectMatrix<Real, Row, Col>& m2) { |
374 |
< |
RectMatrix<Real, Row, Col> result; |
348 |
> |
* Multiples a scalar into every element of this matrix. |
349 |
> |
* @param s the scalar value |
350 |
> |
*/ |
351 |
> |
RectMatrix<Real, Row, Col>& operator *=(const Real s) { |
352 |
> |
this->mul(s); |
353 |
> |
return *this; |
354 |
> |
} |
355 |
|
|
356 |
< |
result.add(m1, m2); |
356 |
> |
/** |
357 |
> |
* Divides every element of this matrix by a scalar. |
358 |
> |
* @param s the scalar value |
359 |
> |
*/ |
360 |
> |
RectMatrix<Real, Row, Col>& operator /=(const Real s) { |
361 |
> |
this->div(s); |
362 |
> |
return *this; |
363 |
> |
} |
364 |
|
|
365 |
< |
return result; |
365 |
> |
/** |
366 |
> |
* Sets the value of this matrix to the sum of the other matrix and itself (*this += m). |
367 |
> |
* @param m the other matrix |
368 |
> |
*/ |
369 |
> |
RectMatrix<Real, Row, Col>& operator += (const RectMatrix<Real, Row, Col>& m) { |
370 |
> |
add(m); |
371 |
> |
return *this; |
372 |
|
} |
373 |
< |
|
373 |
> |
|
374 |
|
/** |
375 |
< |
* Return the difference of two matrixes (m1 - m2). |
376 |
< |
* @return the sum of two matrixes |
377 |
< |
* @param m1 the first matrix |
378 |
< |
* @param m2 the second matrix |
379 |
< |
*/ |
380 |
< |
template<typename Real, unsigned int Row, unsigned int Col> |
381 |
< |
inline RectMatrix<Real, Row, Col> operator - (const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2) { |
389 |
< |
RectMatrix<Real, Row, Col> result; |
375 |
> |
* Sets the value of this matrix to the differerence of itself and the other matrix (*this -= m) |
376 |
> |
* @param m the other matrix |
377 |
> |
*/ |
378 |
> |
RectMatrix<Real, Row, Col>& operator -= (const RectMatrix<Real, Row, Col>& m){ |
379 |
> |
sub(m); |
380 |
> |
return *this; |
381 |
> |
} |
382 |
|
|
383 |
< |
result.sub(m1, m2); |
383 |
> |
/** Return the transpose of this matrix */ |
384 |
> |
RectMatrix<Real, Col, Row> transpose() const{ |
385 |
> |
RectMatrix<Real, Col, Row> result; |
386 |
> |
|
387 |
> |
for (unsigned int i = 0; i < Row; i++) |
388 |
> |
for (unsigned int j = 0; j < Col; j++) |
389 |
> |
result(j, i) = this->data_[i][j]; |
390 |
|
|
391 |
< |
return result; |
391 |
> |
return result; |
392 |
|
} |
393 |
|
|
394 |
< |
/** |
395 |
< |
* Return the multiplication of scalra and matrix (m * s). |
396 |
< |
* @return the multiplication of a scalra and a matrix |
397 |
< |
* @param m the matrix |
400 |
< |
* @param s the scalar |
401 |
< |
*/ |
402 |
< |
template<typename Real, unsigned int Row, unsigned int Col> |
403 |
< |
inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, Col>& m, Real s) { |
404 |
< |
RectMatrix<Real, Row, Col> result; |
394 |
> |
template<class MatrixType> |
395 |
> |
void setSubMatrix(unsigned int beginRow, unsigned int beginCol, const MatrixType& m) { |
396 |
> |
assert(beginRow + m.getNRow() -1 <= getNRow()); |
397 |
> |
assert(beginCol + m.getNCol() -1 <= getNCol()); |
398 |
|
|
399 |
< |
result.mul(s, m); |
399 |
> |
for (unsigned int i = 0; i < m.getNRow(); ++i) |
400 |
> |
for (unsigned int j = 0; j < m.getNCol(); ++j) |
401 |
> |
this->data_[beginRow+i][beginCol+j] = m(i, j); |
402 |
> |
} |
403 |
|
|
404 |
< |
return result; |
404 |
> |
template<class MatrixType> |
405 |
> |
void getSubMatrix(unsigned int beginRow, unsigned int beginCol, MatrixType& m) { |
406 |
> |
assert(beginRow + m.getNRow() -1 <= getNRow()); |
407 |
> |
assert(beginCol + m.getNCol() - 1 <= getNCol()); |
408 |
> |
|
409 |
> |
for (unsigned int i = 0; i < m.getNRow(); ++i) |
410 |
> |
for (unsigned int j = 0; j < m.getNCol(); ++j) |
411 |
> |
m(i, j) = this->data_[beginRow+i][beginCol+j]; |
412 |
|
} |
413 |
+ |
|
414 |
+ |
unsigned int getNRow() const {return Row;} |
415 |
+ |
unsigned int getNCol() const {return Col;} |
416 |
|
|
417 |
< |
/** |
418 |
< |
* Return the multiplication of a scalra and a matrix (s * m). |
419 |
< |
* @return the multiplication of a scalra and a matrix |
414 |
< |
* @param s the scalar |
415 |
< |
* @param m the matrix |
416 |
< |
*/ |
417 |
< |
template<typename Real, unsigned int Row, unsigned int Col> |
418 |
< |
inline RectMatrix<Real, Row, Col> operator *(Real s, const RectMatrix<Real, Row, Col>& m) { |
419 |
< |
RectMatrix<Real, Row, Col> result; |
417 |
> |
protected: |
418 |
> |
Real data_[Row][Col]; |
419 |
> |
}; |
420 |
|
|
421 |
< |
result.mul(s, m); |
421 |
> |
/** Negate the value of every element of this matrix. */ |
422 |
> |
template<typename Real, unsigned int Row, unsigned int Col> |
423 |
> |
inline RectMatrix<Real, Row, Col> operator -(const RectMatrix<Real, Row, Col>& m) { |
424 |
> |
RectMatrix<Real, Row, Col> result(m); |
425 |
|
|
426 |
< |
return result; |
427 |
< |
} |
426 |
> |
result.negate(); |
427 |
> |
|
428 |
> |
return result; |
429 |
> |
} |
430 |
|
|
431 |
< |
/** |
432 |
< |
* Return the multiplication of two matrixes (m1 * m2). |
433 |
< |
* @return the multiplication of two matrixes |
434 |
< |
* @param m1 the first matrix |
435 |
< |
* @param m2 the second matrix |
436 |
< |
*/ |
437 |
< |
template<typename Real, unsigned int Row, unsigned int Col, unsigned int SameDim> |
438 |
< |
inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, SameDim>& m1, const RectMatrix<Real, SameDim, Col>& m2) { |
439 |
< |
RectMatrix<Real, Row, Col> result; |
431 |
> |
/** |
432 |
> |
* Return the sum of two matrixes (m1 + m2). |
433 |
> |
* @return the sum of two matrixes |
434 |
> |
* @param m1 the first matrix |
435 |
> |
* @param m2 the second matrix |
436 |
> |
*/ |
437 |
> |
template<typename Real, unsigned int Row, unsigned int Col> |
438 |
> |
inline RectMatrix<Real, Row, Col> operator + (const RectMatrix<Real, Row, Col>& m1,const RectMatrix<Real, Row, Col>& m2) { |
439 |
> |
RectMatrix<Real, Row, Col> result; |
440 |
|
|
441 |
< |
for (unsigned int i = 0; i < Row; i++) |
437 |
< |
for (unsigned int j = 0; j < Col; j++) |
438 |
< |
for (unsigned int k = 0; k < SameDim; k++) |
439 |
< |
result(i, j) += m1(i, k) * m2(k, j); |
441 |
> |
result.add(m1, m2); |
442 |
|
|
443 |
< |
return result; |
444 |
< |
} |
443 |
> |
return result; |
444 |
> |
} |
445 |
|
|
446 |
< |
/** |
447 |
< |
* Return the multiplication of a matrix and a vector (m * v). |
448 |
< |
* @return the multiplication of a matrix and a vector |
449 |
< |
* @param m the matrix |
450 |
< |
* @param v the vector |
451 |
< |
*/ |
452 |
< |
template<typename Real, unsigned int Row, unsigned int Col> |
453 |
< |
inline Vector<Real, Row> operator *(const RectMatrix<Real, Row, Col>& m, const Vector<Real, Col>& v) { |
454 |
< |
Vector<Real, Row> result; |
446 |
> |
/** |
447 |
> |
* Return the difference of two matrixes (m1 - m2). |
448 |
> |
* @return the sum of two matrixes |
449 |
> |
* @param m1 the first matrix |
450 |
> |
* @param m2 the second matrix |
451 |
> |
*/ |
452 |
> |
template<typename Real, unsigned int Row, unsigned int Col> |
453 |
> |
inline RectMatrix<Real, Row, Col> operator - (const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2) { |
454 |
> |
RectMatrix<Real, Row, Col> result; |
455 |
|
|
456 |
< |
for (unsigned int i = 0; i < Row ; i++) |
457 |
< |
for (unsigned int j = 0; j < Col ; j++) |
458 |
< |
result[i] += m(i, j) * v[j]; |
456 |
> |
result.sub(m1, m2); |
457 |
> |
|
458 |
> |
return result; |
459 |
> |
} |
460 |
> |
|
461 |
> |
/** |
462 |
> |
* Return the multiplication of scalra and matrix (m * s). |
463 |
> |
* @return the multiplication of a scalra and a matrix |
464 |
> |
* @param m the matrix |
465 |
> |
* @param s the scalar |
466 |
> |
*/ |
467 |
> |
template<typename Real, unsigned int Row, unsigned int Col> |
468 |
> |
inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, Col>& m, Real s) { |
469 |
> |
RectMatrix<Real, Row, Col> result; |
470 |
> |
|
471 |
> |
result.mul(s, m); |
472 |
> |
|
473 |
> |
return result; |
474 |
> |
} |
475 |
> |
|
476 |
> |
/** |
477 |
> |
* Return the multiplication of a scalra and a matrix (s * m). |
478 |
> |
* @return the multiplication of a scalra and a matrix |
479 |
> |
* @param s the scalar |
480 |
> |
* @param m the matrix |
481 |
> |
*/ |
482 |
> |
template<typename Real, unsigned int Row, unsigned int Col> |
483 |
> |
inline RectMatrix<Real, Row, Col> operator *(Real s, const RectMatrix<Real, Row, Col>& m) { |
484 |
> |
RectMatrix<Real, Row, Col> result; |
485 |
> |
|
486 |
> |
result.mul(s, m); |
487 |
> |
|
488 |
> |
return result; |
489 |
> |
} |
490 |
> |
|
491 |
> |
/** |
492 |
> |
* Return the multiplication of two matrixes (m1 * m2). |
493 |
> |
* @return the multiplication of two matrixes |
494 |
> |
* @param m1 the first matrix |
495 |
> |
* @param m2 the second matrix |
496 |
> |
*/ |
497 |
> |
template<typename Real, unsigned int Row, unsigned int Col, unsigned int SameDim> |
498 |
> |
inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, SameDim>& m1, const RectMatrix<Real, SameDim, Col>& m2) { |
499 |
> |
RectMatrix<Real, Row, Col> result; |
500 |
> |
|
501 |
> |
for (unsigned int i = 0; i < Row; i++) |
502 |
> |
for (unsigned int j = 0; j < Col; j++) |
503 |
> |
for (unsigned int k = 0; k < SameDim; k++) |
504 |
> |
result(i, j) += m1(i, k) * m2(k, j); |
505 |
> |
|
506 |
> |
return result; |
507 |
> |
} |
508 |
> |
|
509 |
> |
/** |
510 |
> |
* Return the multiplication of a matrix and a vector (m * v). |
511 |
> |
* @return the multiplication of a matrix and a vector |
512 |
> |
* @param m the matrix |
513 |
> |
* @param v the vector |
514 |
> |
*/ |
515 |
> |
template<typename Real, unsigned int Row, unsigned int Col> |
516 |
> |
inline Vector<Real, Row> operator *(const RectMatrix<Real, Row, Col>& m, const Vector<Real, Col>& v) { |
517 |
> |
Vector<Real, Row> result; |
518 |
> |
|
519 |
> |
for (unsigned int i = 0; i < Row ; i++) |
520 |
> |
for (unsigned int j = 0; j < Col ; j++) |
521 |
> |
result[i] += m(i, j) * v[j]; |
522 |
|
|
523 |
< |
return result; |
524 |
< |
} |
523 |
> |
return result; |
524 |
> |
} |
525 |
|
|
526 |
< |
/** |
527 |
< |
* Return the scalar division of matrix (m / s). |
528 |
< |
* @return the scalar division of matrix |
529 |
< |
* @param m the matrix |
530 |
< |
* @param s the scalar |
531 |
< |
*/ |
532 |
< |
template<typename Real, unsigned int Row, unsigned int Col> |
533 |
< |
inline RectMatrix<Real, Row, Col> operator /(const RectMatrix<Real, Row, Col>& m, Real s) { |
534 |
< |
RectMatrix<Real, Row, Col> result; |
526 |
> |
/** |
527 |
> |
* Return the scalar division of matrix (m / s). |
528 |
> |
* @return the scalar division of matrix |
529 |
> |
* @param m the matrix |
530 |
> |
* @param s the scalar |
531 |
> |
*/ |
532 |
> |
template<typename Real, unsigned int Row, unsigned int Col> |
533 |
> |
inline RectMatrix<Real, Row, Col> operator /(const RectMatrix<Real, Row, Col>& m, Real s) { |
534 |
> |
RectMatrix<Real, Row, Col> result; |
535 |
|
|
536 |
< |
result.div(s, m); |
536 |
> |
result.div(s, m); |
537 |
|
|
538 |
< |
return result; |
539 |
< |
} |
538 |
> |
return result; |
539 |
> |
} |
540 |
|
|
541 |
< |
/** |
542 |
< |
* Write to an output stream |
543 |
< |
*/ |
544 |
< |
template<typename Real, unsigned int Row, unsigned int Col> |
545 |
< |
std::ostream &operator<< ( std::ostream& o, const RectMatrix<Real, Row, Col>& m) { |
546 |
< |
for (unsigned int i = 0; i < Row ; i++) { |
547 |
< |
o << "("; |
548 |
< |
for (unsigned int j = 0; j < Col ; j++) { |
549 |
< |
o << m(i, j); |
550 |
< |
if (j != Col -1) |
551 |
< |
o << "\t"; |
552 |
< |
} |
553 |
< |
o << ")" << std::endl; |
554 |
< |
} |
555 |
< |
return o; |
556 |
< |
} |
541 |
> |
/** |
542 |
> |
* Write to an output stream |
543 |
> |
*/ |
544 |
> |
template<typename Real, unsigned int Row, unsigned int Col> |
545 |
> |
std::ostream &operator<< ( std::ostream& o, const RectMatrix<Real, Row, Col>& m) { |
546 |
> |
for (unsigned int i = 0; i < Row ; i++) { |
547 |
> |
o << "("; |
548 |
> |
for (unsigned int j = 0; j < Col ; j++) { |
549 |
> |
o << m(i, j); |
550 |
> |
if (j != Col -1) |
551 |
> |
o << "\t"; |
552 |
> |
} |
553 |
> |
o << ")" << std::endl; |
554 |
> |
} |
555 |
> |
return o; |
556 |
> |
} |
557 |
|
} |
558 |
|
#endif //MATH_RECTMATRIX_HPP |