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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] Vardeman & Gezelter, in progress (2009). |
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*/ |
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|
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/** |
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* @file Vector.hpp |
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* @author Teng Lin |
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#include <cassert> |
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#include <cmath> |
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#include <iostream> |
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#include <math.h> |
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#include "config.h" |
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namespace OpenMD { |
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|
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namespace oopse { |
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static const RealType epsilon = 0.000001; |
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|
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const double epsilon = 0.000001; |
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template<typename T> |
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inline bool equal(T e1, T e2) { |
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return e1 == e2; |
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} |
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|
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template<typename T> |
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inline bool equal(T e1, T e2) { |
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return e1 == e2; |
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} |
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//template<> |
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//inline bool equal(float e1, float e2) { |
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// return fabs(e1 - e2) < epsilon; |
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//} |
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|
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template<> |
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inline bool equal(float e1, float e2) { |
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return fabs(e1 - e2) < epsilon; |
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} |
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template<> |
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inline bool equal(RealType e1, RealType e2) { |
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return fabs(e1 - e2) < epsilon; |
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} |
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|
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template<> |
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inline bool equal(double e1, double e2) { |
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return fabs(e1 - e2) < epsilon; |
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} |
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|
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/** |
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* @class Vector Vector.hpp "math/Vector.hpp" |
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* @brief Fix length vector class |
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*/ |
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template<typename Real, unsigned int Dim> |
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class Vector{ |
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public: |
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/** |
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* @class Vector Vector.hpp "math/Vector.hpp" |
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* @brief Fix length vector class |
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*/ |
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template<typename Real, unsigned int Dim> |
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class Vector{ |
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public: |
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|
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/** default constructor */ |
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inline Vector(){ |
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] = 0.0; |
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} |
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typedef Real ElemType; |
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typedef Real* ElemPoinerType; |
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|
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/** Constructs and initializes a Vector from a vector */ |
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inline Vector(const Vector<Real, Dim>& v) { |
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*this = v; |
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} |
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/** default constructor */ |
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inline Vector(){ |
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for (unsigned int i = 0; i < Dim; i++) |
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this->data_[i] = 0; |
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} |
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|
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/** copy assignment operator */ |
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inline Vector<Real, Dim>& operator=(const Vector<Real, Dim>& v) { |
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if (this == &v) |
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return *this; |
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/** Constructs and initializes a Vector from a vector */ |
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inline Vector(const Vector<Real, Dim>& v) { |
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*this = v; |
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} |
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|
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/** copy assignment operator */ |
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inline Vector<Real, Dim>& operator=(const Vector<Real, Dim>& v) { |
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if (this == &v) |
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return *this; |
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|
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] = v[i]; |
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for (unsigned int i = 0; i < Dim; i++) |
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this->data_[i] = v[i]; |
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|
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return *this; |
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} |
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return *this; |
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} |
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|
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template<typename T> |
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inline Vector(const T& s){ |
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for (unsigned int i = 0; i < Dim; i++) |
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this->data_[i] = s; |
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} |
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|
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/** Constructs and initializes a Vector from an array */ |
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inline Vector( double* v) { |
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] = v[i]; |
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} |
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/** Constructs and initializes a Vector from an array */ |
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inline Vector( Real* v) { |
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for (unsigned int i = 0; i < Dim; i++) |
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this->data_[i] = v[i]; |
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} |
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|
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/** |
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* Returns reference of ith element. |
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* @return reference of ith element |
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* @param i index |
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*/ |
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inline double& operator[](unsigned int i) { |
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assert( i < Dim); |
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return data_[i]; |
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} |
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/** |
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* Returns reference of ith element. |
124 |
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* @return reference of ith element |
125 |
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* @param i index |
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*/ |
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inline Real& operator[](unsigned int i) { |
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assert( i < Dim); |
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return this->data_[i]; |
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} |
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|
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/** |
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* Returns reference of ith element. |
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* @return reference of ith element |
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* @param i index |
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*/ |
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inline double& operator()(unsigned int i) { |
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assert( i < Dim); |
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return data_[i]; |
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} |
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/** |
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* Returns reference of ith element. |
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* @return reference of ith element |
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* @param i index |
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*/ |
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inline Real& operator()(unsigned int i) { |
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assert( i < Dim); |
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return this->data_[i]; |
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} |
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|
|
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/** |
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* Returns constant reference of ith element. |
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* @return reference of ith element |
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* @param i index |
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*/ |
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inline const double& operator[](unsigned int i) const { |
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assert( i < Dim); |
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return data_[i]; |
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} |
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/** |
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* Returns constant reference of ith element. |
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* @return reference of ith element |
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* @param i index |
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*/ |
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inline const Real& operator[](unsigned int i) const { |
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assert( i < Dim); |
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return this->data_[i]; |
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} |
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|
|
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/** |
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* Returns constant reference of ith element. |
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* @return reference of ith element |
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* @param i index |
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*/ |
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inline const double& operator()(unsigned int i) const { |
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assert( i < Dim); |
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return data_[i]; |
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} |
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/** |
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* Returns constant reference of ith element. |
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* @return reference of ith element |
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* @param i index |
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*/ |
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inline const Real& operator()(unsigned int i) const { |
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assert( i < Dim); |
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return this->data_[i]; |
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} |
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|
|
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/** |
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* Tests if this vetor is equal to other vector |
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* @return true if equal, otherwise return false |
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* @param v vector to be compared |
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*/ |
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inline bool operator ==(const Vector<Real, Dim>& v) { |
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/** Copy the internal data to an array*/ |
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void getArray(Real* array) { |
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for (unsigned int i = 0; i < Dim; i ++) { |
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array[i] = this->data_[i]; |
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} |
167 |
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} |
168 |
|
|
169 |
< |
for (unsigned int i = 0; i < Dim; i ++) { |
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< |
if (!equal(data_[i], v[i])) { |
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< |
return false; |
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< |
} |
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} |
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/** Returns the pointer of internal array */ |
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Real* getArrayPointer() { |
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return this->data_; |
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} |
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|
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/** |
175 |
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* Tests if this vetor is equal to other vector |
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* @return true if equal, otherwise return false |
177 |
> |
* @param v vector to be compared |
178 |
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*/ |
179 |
> |
inline bool operator ==(const Vector<Real, Dim>& v) { |
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|
181 |
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for (unsigned int i = 0; i < Dim; i ++) { |
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> |
if (!equal(this->data_[i], v[i])) { |
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> |
return false; |
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> |
} |
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> |
} |
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|
|
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< |
return true; |
188 |
< |
} |
187 |
> |
return true; |
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} |
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|
|
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< |
/** |
191 |
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* Tests if this vetor is not equal to other vector |
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* @return true if equal, otherwise return false |
193 |
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* @param v vector to be compared |
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*/ |
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inline bool operator !=(const Vector<Real, Dim>& v) { |
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< |
return !(*this == v); |
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< |
} |
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> |
/** |
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* Tests if this vetor is not equal to other vector |
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* @return true if equal, otherwise return false |
193 |
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* @param v vector to be compared |
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*/ |
195 |
> |
inline bool operator !=(const Vector<Real, Dim>& v) { |
196 |
> |
return !(*this == v); |
197 |
> |
} |
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|
|
199 |
< |
/** Negates the value of this vector in place. */ |
200 |
< |
inline void negate() { |
201 |
< |
data_[0] = -data_[0]; |
202 |
< |
data_[1] = -data_[1]; |
203 |
< |
data_[2] = -data_[2]; |
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< |
} |
199 |
> |
/** Negates the value of this vector in place. */ |
200 |
> |
inline void negate() { |
201 |
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for (unsigned int i = 0; i < Dim; i++) |
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> |
this->data_[i] = -this->data_[i]; |
203 |
> |
} |
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|
|
205 |
< |
/** |
206 |
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* Sets the value of this vector to the negation of vector v1. |
207 |
< |
* @param v1 the source vector |
208 |
< |
*/ |
209 |
< |
inline void negate(const Vector<Real, Dim>& v1) { |
210 |
< |
for (unsigned int i = 0; i < Dim; i++) |
211 |
< |
data_[i] = -v1.data_[i]; |
205 |
> |
/** |
206 |
> |
* Sets the value of this vector to the negation of vector v1. |
207 |
> |
* @param v1 the source vector |
208 |
> |
*/ |
209 |
> |
inline void negate(const Vector<Real, Dim>& v1) { |
210 |
> |
for (unsigned int i = 0; i < Dim; i++) |
211 |
> |
this->data_[i] = -v1.data_[i]; |
212 |
|
|
213 |
< |
} |
213 |
> |
} |
214 |
|
|
215 |
< |
/** |
216 |
< |
* Sets the value of this vector to the sum of itself and v1 (*this += v1). |
217 |
< |
* @param v1 the other vector |
218 |
< |
*/ |
219 |
< |
inline void add( const Vector<Real, Dim>& v1 ) { |
220 |
< |
for (unsigned int i = 0; i < Dim; i++) |
221 |
< |
data_[i] += v1.data_[i]; |
222 |
< |
} |
215 |
> |
/** |
216 |
> |
* Sets the value of this vector to the sum of itself and v1 (*this += v1). |
217 |
> |
* @param v1 the other vector |
218 |
> |
*/ |
219 |
> |
inline void add( const Vector<Real, Dim>& v1 ) { |
220 |
> |
for (unsigned int i = 0; i < Dim; i++) |
221 |
> |
this->data_[i] += v1.data_[i]; |
222 |
> |
} |
223 |
|
|
224 |
< |
/** |
225 |
< |
* Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2). |
226 |
< |
* @param v1 the first vector |
227 |
< |
* @param v2 the second vector |
228 |
< |
*/ |
229 |
< |
inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
230 |
< |
for (unsigned int i = 0; i < Dim; i++) |
231 |
< |
data_[i] = v1.data_[i] + v2.data_[i]; |
232 |
< |
} |
224 |
> |
/** |
225 |
> |
* Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2). |
226 |
> |
* @param v1 the first vector |
227 |
> |
* @param v2 the second vector |
228 |
> |
*/ |
229 |
> |
inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
230 |
> |
for (unsigned int i = 0; i < Dim; i++) |
231 |
> |
this->data_[i] = v1.data_[i] + v2.data_[i]; |
232 |
> |
} |
233 |
|
|
234 |
< |
/** |
235 |
< |
* Sets the value of this vector to the difference of itself and v1 (*this -= v1). |
236 |
< |
* @param v1 the other vector |
237 |
< |
*/ |
238 |
< |
inline void sub( const Vector<Real, Dim>& v1 ) { |
239 |
< |
for (unsigned int i = 0; i < Dim; i++) |
240 |
< |
data_[i] -= v1.data_[i]; |
241 |
< |
} |
234 |
> |
/** |
235 |
> |
* Sets the value of this vector to the difference of itself and v1 (*this -= v1). |
236 |
> |
* @param v1 the other vector |
237 |
> |
*/ |
238 |
> |
inline void sub( const Vector<Real, Dim>& v1 ) { |
239 |
> |
for (unsigned int i = 0; i < Dim; i++) |
240 |
> |
this->data_[i] -= v1.data_[i]; |
241 |
> |
} |
242 |
|
|
243 |
< |
/** |
244 |
< |
* Sets the value of this vector to the difference of vector v1 and v2 (*this = v1 - v2). |
245 |
< |
* @param v1 the first vector |
246 |
< |
* @param v2 the second vector |
247 |
< |
*/ |
248 |
< |
inline void sub( const Vector<Real, Dim>& v1, const Vector &v2 ){ |
249 |
< |
for (unsigned int i = 0; i < Dim; i++) |
250 |
< |
data_[i] = v1.data_[i] - v2.data_[i]; |
251 |
< |
} |
243 |
> |
/** |
244 |
> |
* Sets the value of this vector to the difference of vector v1 and v2 (*this = v1 - v2). |
245 |
> |
* @param v1 the first vector |
246 |
> |
* @param v2 the second vector |
247 |
> |
*/ |
248 |
> |
inline void sub( const Vector<Real, Dim>& v1, const Vector &v2 ){ |
249 |
> |
for (unsigned int i = 0; i < Dim; i++) |
250 |
> |
this->data_[i] = v1.data_[i] - v2.data_[i]; |
251 |
> |
} |
252 |
|
|
253 |
< |
/** |
254 |
< |
* Sets the value of this vector to the scalar multiplication of itself (*this *= s). |
255 |
< |
* @param s the scalar value |
256 |
< |
*/ |
257 |
< |
inline void mul( double s ) { |
258 |
< |
for (unsigned int i = 0; i < Dim; i++) |
259 |
< |
data_[i] *= s; |
260 |
< |
} |
253 |
> |
/** |
254 |
> |
* Sets the value of this vector to the scalar multiplication of itself (*this *= s). |
255 |
> |
* @param s the scalar value |
256 |
> |
*/ |
257 |
> |
inline void mul( Real s ) { |
258 |
> |
for (unsigned int i = 0; i < Dim; i++) |
259 |
> |
this->data_[i] *= s; |
260 |
> |
} |
261 |
|
|
262 |
< |
/** |
263 |
< |
* Sets the value of this vector to the scalar multiplication of vector v1 |
264 |
< |
* (*this = s * v1). |
265 |
< |
* @param s the scalar value |
266 |
< |
* @param v1 the vector |
267 |
< |
*/ |
268 |
< |
inline void mul( double s, const Vector<Real, Dim>& v1 ) { |
269 |
< |
for (unsigned int i = 0; i < Dim; i++) |
270 |
< |
data_[i] = s * v1.data_[i]; |
271 |
< |
} |
262 |
> |
/** |
263 |
> |
* Sets the value of this vector to the scalar multiplication of vector v1 |
264 |
> |
* (*this = s * v1). |
265 |
> |
* @param v1 the vector |
266 |
> |
* @param s the scalar value |
267 |
> |
*/ |
268 |
> |
inline void mul( const Vector<Real, Dim>& v1, Real s) { |
269 |
> |
for (unsigned int i = 0; i < Dim; i++) |
270 |
> |
this->data_[i] = s * v1.data_[i]; |
271 |
> |
} |
272 |
|
|
273 |
< |
/** |
274 |
< |
* Sets the value of this vector to the scalar division of itself (*this /= s ). |
275 |
< |
* @param s the scalar value |
276 |
< |
*/ |
277 |
< |
inline void div( double s) { |
278 |
< |
for (unsigned int i = 0; i < Dim; i++) |
279 |
< |
data_[i] /= s; |
280 |
< |
} |
273 |
> |
/** |
274 |
> |
* Sets the elements of this vector to the multiplication of |
275 |
> |
* elements of two other vectors. Not to be confused with scalar |
276 |
> |
* multiplication (mul) or dot products. |
277 |
> |
* |
278 |
> |
* (*this.data_[i] = v1.data_[i] * v2.data_[i]). |
279 |
> |
* @param v1 the first vector |
280 |
> |
* @param v2 the second vector |
281 |
> |
*/ |
282 |
> |
inline void Vmul( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
283 |
> |
for (unsigned int i = 0; i < Dim; i++) |
284 |
> |
this->data_[i] = v1.data_[i] * v2.data_[i]; |
285 |
> |
} |
286 |
|
|
287 |
< |
/** |
288 |
< |
* Sets the value of this vector to the scalar division of vector v1 (*this = v1 / s ). |
289 |
< |
* @param v1 the source vector |
290 |
< |
* @param s the scalar value |
291 |
< |
*/ |
292 |
< |
inline void div( const Vector<Real, Dim>& v1, double s ) { |
293 |
< |
for (unsigned int i = 0; i < Dim; i++) |
294 |
< |
data_[i] = v1.data_[i] / s; |
252 |
< |
} |
287 |
> |
/** |
288 |
> |
* Sets the value of this vector to the scalar division of itself (*this /= s ). |
289 |
> |
* @param s the scalar value |
290 |
> |
*/ |
291 |
> |
inline void div( Real s) { |
292 |
> |
for (unsigned int i = 0; i < Dim; i++) |
293 |
> |
this->data_[i] /= s; |
294 |
> |
} |
295 |
|
|
296 |
< |
/** @see #add */ |
297 |
< |
inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { |
298 |
< |
add(v1); |
299 |
< |
return *this; |
300 |
< |
} |
296 |
> |
/** |
297 |
> |
* Sets the value of this vector to the scalar division of vector v1 (*this = v1 / s ). |
298 |
> |
* @param v1 the source vector |
299 |
> |
* @param s the scalar value |
300 |
> |
*/ |
301 |
> |
inline void div( const Vector<Real, Dim>& v1, Real s ) { |
302 |
> |
for (unsigned int i = 0; i < Dim; i++) |
303 |
> |
this->data_[i] = v1.data_[i] / s; |
304 |
> |
} |
305 |
|
|
306 |
< |
/** @see #sub */ |
307 |
< |
inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) { |
308 |
< |
sub(v1); |
309 |
< |
return *this; |
310 |
< |
} |
306 |
> |
/** |
307 |
> |
* Sets the elements of this vector to the division of |
308 |
> |
* elements of two other vectors. Not to be confused with scalar |
309 |
> |
* division (div) |
310 |
> |
* |
311 |
> |
* (*this.data_[i] = v1.data_[i] / v2.data_[i]). |
312 |
> |
* @param v1 the first vector |
313 |
> |
* @param v2 the second vector |
314 |
> |
*/ |
315 |
> |
inline void Vdiv( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
316 |
> |
for (unsigned int i = 0; i < Dim; i++) |
317 |
> |
this->data_[i] = v1.data_[i] / v2.data_[i]; |
318 |
> |
} |
319 |
|
|
266 |
– |
/** @see #mul */ |
267 |
– |
inline Vector<Real, Dim>& operator *=( double s) { |
268 |
– |
mul(s); |
269 |
– |
return *this; |
270 |
– |
} |
320 |
|
|
321 |
< |
/** @see #div */ |
322 |
< |
inline Vector<Real, Dim>& operator /=( double s ) { |
323 |
< |
div(s); |
324 |
< |
return *this; |
325 |
< |
} |
321 |
> |
/** @see #add */ |
322 |
> |
inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { |
323 |
> |
add(v1); |
324 |
> |
return *this; |
325 |
> |
} |
326 |
|
|
327 |
< |
/** |
328 |
< |
* Returns the length of this vector. |
329 |
< |
* @return the length of this vector |
330 |
< |
*/ |
331 |
< |
inline double length() { |
283 |
< |
return sqrt(lengthSquared()); |
284 |
< |
} |
285 |
< |
|
286 |
< |
/** |
287 |
< |
* Returns the squared length of this vector. |
288 |
< |
* @return the squared length of this vector |
289 |
< |
*/ |
290 |
< |
inline double lengthSquared() { |
291 |
< |
return dot(*this, *this); |
292 |
< |
} |
293 |
< |
|
294 |
< |
/** Normalizes this vector in place */ |
295 |
< |
inline void normalize() { |
296 |
< |
double len; |
327 |
> |
/** @see #sub */ |
328 |
> |
inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) { |
329 |
> |
sub(v1); |
330 |
> |
return *this; |
331 |
> |
} |
332 |
|
|
333 |
< |
len = length(); |
334 |
< |
*this /= len; |
335 |
< |
} |
336 |
< |
|
337 |
< |
protected: |
303 |
< |
double data_[3]; |
304 |
< |
|
305 |
< |
}; |
333 |
> |
/** @see #mul */ |
334 |
> |
inline Vector<Real, Dim>& operator *=( Real s) { |
335 |
> |
mul(s); |
336 |
> |
return *this; |
337 |
> |
} |
338 |
|
|
339 |
< |
/** unary minus*/ |
340 |
< |
template<typename Real, unsigned int Dim> |
341 |
< |
inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ |
342 |
< |
Vector tmp(v1); |
311 |
< |
return tmp.negate(); |
339 |
> |
/** @see #div */ |
340 |
> |
inline Vector<Real, Dim>& operator /=( Real s ) { |
341 |
> |
div(s); |
342 |
> |
return *this; |
343 |
|
} |
344 |
|
|
345 |
|
/** |
346 |
< |
* Return the sum of two vectors (v1 - v2). |
347 |
< |
* @return the sum of two vectors |
348 |
< |
* @param v1 the first vector |
349 |
< |
* @param v2 the second vector |
350 |
< |
*/ |
351 |
< |
template<typename Real, unsigned int Dim> |
352 |
< |
inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
353 |
< |
Vector<Real, Dim> result; |
354 |
< |
|
324 |
< |
result.add(v1, v2); |
325 |
< |
return result; |
346 |
> |
* Returns the sum of all elements of this vector. |
347 |
> |
* @return the sum of all elements of this vector |
348 |
> |
*/ |
349 |
> |
inline Real sum() { |
350 |
> |
Real tmp; |
351 |
> |
tmp = 0; |
352 |
> |
for (unsigned int i = 0; i < Dim; i++) |
353 |
> |
tmp += this->data_[i]; |
354 |
> |
return tmp; |
355 |
|
} |
356 |
|
|
357 |
|
/** |
358 |
< |
* Return the difference of two vectors (v1 - v2). |
359 |
< |
* @return the difference of two vectors |
360 |
< |
* @param v1 the first vector |
361 |
< |
* @param v2 the second vector |
362 |
< |
*/ |
363 |
< |
template<typename Real, unsigned int Dim> |
364 |
< |
Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
365 |
< |
Vector<Real, Dim> result; |
366 |
< |
result.sub(v1, v2); |
338 |
< |
return result; |
358 |
> |
* Returns the product of all elements of this vector. |
359 |
> |
* @return the product of all elements of this vector |
360 |
> |
*/ |
361 |
> |
inline Real componentProduct() { |
362 |
> |
Real tmp; |
363 |
> |
tmp = 1; |
364 |
> |
for (unsigned int i = 0; i < Dim; i++) |
365 |
> |
tmp *= this->data_[i]; |
366 |
> |
return tmp; |
367 |
|
} |
368 |
< |
|
368 |
> |
|
369 |
|
/** |
370 |
< |
* Returns the vaule of scalar multiplication of this vector v1 (v1 * r). |
371 |
< |
* @return the vaule of scalar multiplication of this vector |
372 |
< |
* @param v1 the source vector |
373 |
< |
* @param s the scalar value |
374 |
< |
*/ |
347 |
< |
template<typename Real, unsigned int Dim> |
348 |
< |
Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, double s) { |
349 |
< |
Vector<Real, Dim> result; |
350 |
< |
result.mul(s, v1); |
351 |
< |
return result; |
370 |
> |
* Returns the length of this vector. |
371 |
> |
* @return the length of this vector |
372 |
> |
*/ |
373 |
> |
inline Real length() { |
374 |
> |
return sqrt(lengthSquare()); |
375 |
|
} |
376 |
< |
|
376 |
> |
|
377 |
|
/** |
378 |
< |
* Returns the vaule of scalar multiplication of this vector v1 (v1 * r). |
379 |
< |
* @return the vaule of scalar multiplication of this vector |
380 |
< |
* @param s the scalar value |
381 |
< |
* @param v1 the source vector |
382 |
< |
*/ |
360 |
< |
template<typename Real, unsigned int Dim> |
361 |
< |
Vector<Real, Dim> operator * ( double s, const Vector<Real, Dim>& v1 ) { |
362 |
< |
Vector<Real, Dim> result; |
363 |
< |
result.mul(s, v1); |
364 |
< |
return result; |
378 |
> |
* Returns the squared length of this vector. |
379 |
> |
* @return the squared length of this vector |
380 |
> |
*/ |
381 |
> |
inline Real lengthSquare() { |
382 |
> |
return dot(*this, *this); |
383 |
|
} |
384 |
+ |
|
385 |
+ |
/** Normalizes this vector in place */ |
386 |
+ |
inline void normalize() { |
387 |
+ |
Real len; |
388 |
|
|
389 |
< |
/** |
390 |
< |
* Returns the value of division of a vector by a scalar. |
391 |
< |
* @return the vaule of scalar division of this vector |
392 |
< |
* @param v1 the source vector |
393 |
< |
* @param s the scalar value |
394 |
< |
*/ |
373 |
< |
template<typename Real, unsigned int Dim> |
374 |
< |
Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, double s) { |
375 |
< |
Vector<Real, Dim> result; |
376 |
< |
result.div( v1,s); |
377 |
< |
return result; |
389 |
> |
len = length(); |
390 |
> |
|
391 |
> |
//if (len < OpenMD::NumericConstant::epsilon) |
392 |
> |
// throw(); |
393 |
> |
|
394 |
> |
*this /= len; |
395 |
|
} |
396 |
< |
|
396 |
> |
|
397 |
|
/** |
398 |
< |
* Returns the value of division of a vector by a scalar. |
399 |
< |
* @return the vaule of scalar division of this vector |
383 |
< |
* @param s the scalar value |
384 |
< |
* @param v1 the source vector |
398 |
> |
* Tests if this vector is normalized |
399 |
> |
* @return true if this vector is normalized, otherwise return false |
400 |
|
*/ |
401 |
< |
template<typename Real, unsigned int Dim> |
402 |
< |
inline Vector<Real, Dim> operator /( double s, const Vector<Real, Dim>& v1 ) { |
403 |
< |
Vector<Real, Dim> result; |
389 |
< |
result.div( v1,s); |
390 |
< |
return result; |
391 |
< |
} |
401 |
> |
inline bool isNormalized() { |
402 |
> |
return equal(lengthSquare(), (RealType)1); |
403 |
> |
} |
404 |
|
|
405 |
< |
/** fuzzy comparson */ |
406 |
< |
template<typename Real, unsigned int Dim> |
407 |
< |
inline bool epsilonEqual( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
405 |
> |
unsigned int size() {return Dim;} |
406 |
> |
protected: |
407 |
> |
Real data_[Dim]; |
408 |
> |
|
409 |
> |
}; |
410 |
|
|
411 |
< |
} |
411 |
> |
/** unary minus*/ |
412 |
> |
template<typename Real, unsigned int Dim> |
413 |
> |
inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ |
414 |
> |
Vector<Real, Dim> tmp(v1); |
415 |
> |
tmp.negate(); |
416 |
> |
return tmp; |
417 |
> |
} |
418 |
|
|
419 |
+ |
/** |
420 |
+ |
* Return the sum of two vectors (v1 - v2). |
421 |
+ |
* @return the sum of two vectors |
422 |
+ |
* @param v1 the first vector |
423 |
+ |
* @param v2 the second vector |
424 |
+ |
*/ |
425 |
+ |
template<typename Real, unsigned int Dim> |
426 |
+ |
inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
427 |
+ |
Vector<Real, Dim> result; |
428 |
+ |
|
429 |
+ |
result.add(v1, v2); |
430 |
+ |
return result; |
431 |
+ |
} |
432 |
+ |
|
433 |
+ |
/** |
434 |
+ |
* Return the difference of two vectors (v1 - v2). |
435 |
+ |
* @return the difference of two vectors |
436 |
+ |
* @param v1 the first vector |
437 |
+ |
* @param v2 the second vector |
438 |
+ |
*/ |
439 |
+ |
template<typename Real, unsigned int Dim> |
440 |
+ |
Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
441 |
+ |
Vector<Real, Dim> result; |
442 |
+ |
result.sub(v1, v2); |
443 |
+ |
return result; |
444 |
+ |
} |
445 |
|
|
446 |
< |
/** |
447 |
< |
* Returns the dot product of two Vectors |
448 |
< |
* @param v1 first vector |
449 |
< |
* @param v2 second vector |
450 |
< |
* @return the dot product of v1 and v2 |
451 |
< |
*/ |
452 |
< |
template<typename Real, unsigned int Dim> |
453 |
< |
inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
454 |
< |
Real tmp; |
455 |
< |
tmp = 0; |
446 |
> |
/** |
447 |
> |
* Returns the vaule of scalar multiplication of this vector v1 (v1 * r). |
448 |
> |
* @return the vaule of scalar multiplication of this vector |
449 |
> |
* @param v1 the source vector |
450 |
> |
* @param s the scalar value |
451 |
> |
*/ |
452 |
> |
template<typename Real, unsigned int Dim> |
453 |
> |
Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, Real s) { |
454 |
> |
Vector<Real, Dim> result; |
455 |
> |
result.mul(v1,s); |
456 |
> |
return result; |
457 |
> |
} |
458 |
> |
|
459 |
> |
/** |
460 |
> |
* Returns the vaule of scalar multiplication of this vector v1 (v1 * r). |
461 |
> |
* @return the vaule of scalar multiplication of this vector |
462 |
> |
* @param s the scalar value |
463 |
> |
* @param v1 the source vector |
464 |
> |
*/ |
465 |
> |
template<typename Real, unsigned int Dim> |
466 |
> |
Vector<Real, Dim> operator * ( Real s, const Vector<Real, Dim>& v1 ) { |
467 |
> |
Vector<Real, Dim> result; |
468 |
> |
result.mul(v1, s); |
469 |
> |
return result; |
470 |
> |
} |
471 |
|
|
472 |
< |
for (unsigned int i = 0; i < Dim; i++) |
473 |
< |
tmp += v1[i] + v2[i]; |
474 |
< |
|
475 |
< |
return tmp; |
476 |
< |
} |
472 |
> |
/** |
473 |
> |
* Returns the value of division of a vector by a scalar. |
474 |
> |
* @return the vaule of scalar division of this vector |
475 |
> |
* @param v1 the source vector |
476 |
> |
* @param s the scalar value |
477 |
> |
*/ |
478 |
> |
template<typename Real, unsigned int Dim> |
479 |
> |
Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, Real s) { |
480 |
> |
Vector<Real, Dim> result; |
481 |
> |
result.div( v1,s); |
482 |
> |
return result; |
483 |
> |
} |
484 |
> |
|
485 |
> |
/** |
486 |
> |
* Returns the dot product of two Vectors |
487 |
> |
* @param v1 first vector |
488 |
> |
* @param v2 second vector |
489 |
> |
* @return the dot product of v1 and v2 |
490 |
> |
*/ |
491 |
> |
template<typename Real, unsigned int Dim> |
492 |
> |
inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
493 |
> |
Real tmp; |
494 |
> |
tmp = 0; |
495 |
|
|
496 |
< |
/** |
497 |
< |
* Returns the distance between two Vectors |
419 |
< |
* @param v1 first vector |
420 |
< |
* @param v2 second vector |
421 |
< |
* @return the distance between v1 and v2 |
422 |
< |
*/ |
423 |
< |
template<typename Real, unsigned int Dim> |
424 |
< |
inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
425 |
< |
Vector<Real, Dim> tempVector = v1 - v2; |
426 |
< |
return tempVector.length(); |
427 |
< |
} |
496 |
> |
for (unsigned int i = 0; i < Dim; i++) |
497 |
> |
tmp += v1[i] * v2[i]; |
498 |
|
|
499 |
< |
/** |
500 |
< |
* Returns the squared distance between two Vectors |
431 |
< |
* @param v1 first vector |
432 |
< |
* @param v2 second vector |
433 |
< |
* @return the squared distance between v1 and v2 |
434 |
< |
*/ |
435 |
< |
template<typename Real, unsigned int Dim> |
436 |
< |
inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
437 |
< |
Vector<Real, Dim> tempVector = v1 - v2; |
438 |
< |
return tempVector.lengthSquare(); |
439 |
< |
} |
499 |
> |
return tmp; |
500 |
> |
} |
501 |
|
|
502 |
< |
/** |
503 |
< |
* Write to an output stream |
504 |
< |
*/ |
505 |
< |
template<typename Real, unsigned int Dim> |
506 |
< |
std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v1 ) { |
502 |
> |
|
503 |
> |
|
504 |
> |
|
505 |
> |
/** |
506 |
> |
* Returns the wide dot product of three Vectors. Compare with |
507 |
> |
* Rapaport's VWDot function. |
508 |
> |
* |
509 |
> |
* @param v1 first vector |
510 |
> |
* @param v2 second vector |
511 |
> |
* @param v3 third vector |
512 |
> |
* @return the wide dot product of v1, v2, and v3. |
513 |
> |
*/ |
514 |
> |
template<typename Real, unsigned int Dim> |
515 |
> |
inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2, const Vector<Real, Dim>& v3 ) { |
516 |
> |
Real tmp; |
517 |
> |
tmp = 0; |
518 |
> |
|
519 |
> |
for (unsigned int i = 0; i < Dim; i++) |
520 |
> |
tmp += v1[i] * v2[i] * v3[i]; |
521 |
> |
|
522 |
> |
return tmp; |
523 |
> |
} |
524 |
> |
|
525 |
> |
|
526 |
> |
/** |
527 |
> |
* Returns the distance between two Vectors |
528 |
> |
* @param v1 first vector |
529 |
> |
* @param v2 second vector |
530 |
> |
* @return the distance between v1 and v2 |
531 |
> |
*/ |
532 |
> |
template<typename Real, unsigned int Dim> |
533 |
> |
inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
534 |
> |
Vector<Real, Dim> tempVector = v1 - v2; |
535 |
> |
return tempVector.length(); |
536 |
> |
} |
537 |
> |
|
538 |
> |
/** |
539 |
> |
* Returns the squared distance between two Vectors |
540 |
> |
* @param v1 first vector |
541 |
> |
* @param v2 second vector |
542 |
> |
* @return the squared distance between v1 and v2 |
543 |
> |
*/ |
544 |
> |
template<typename Real, unsigned int Dim> |
545 |
> |
inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
546 |
> |
Vector<Real, Dim> tempVector = v1 - v2; |
547 |
> |
return tempVector.lengthSquare(); |
548 |
> |
} |
549 |
> |
|
550 |
> |
/** |
551 |
> |
* Write to an output stream |
552 |
> |
*/ |
553 |
> |
template<typename Real, unsigned int Dim> |
554 |
> |
std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v) { |
555 |
> |
|
556 |
> |
o << "[ "; |
557 |
|
|
558 |
< |
return o; |
558 |
> |
for (unsigned int i = 0 ; i< Dim; i++) { |
559 |
> |
o << v[i]; |
560 |
> |
|
561 |
> |
if (i != Dim -1) { |
562 |
> |
o<< ", "; |
563 |
> |
} |
564 |
|
} |
565 |
+ |
|
566 |
+ |
o << " ]"; |
567 |
+ |
return o; |
568 |
+ |
} |
569 |
|
|
570 |
|
} |
571 |
|
#endif |