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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. Acknowledgement of the program authors must be made in any |
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* publication of scientific results based in part on use of the |
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* program. An acceptable form of acknowledgement is citation of |
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* the article in which the program was described (Matthew |
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* A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher |
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* J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented |
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* Parallel Simulation Engine for Molecular Dynamics," |
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* J. Comput. Chem. 26, pp. 252-271 (2005)) |
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* |
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* 2. 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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* 3. 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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/** |
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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 oopse { |
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|
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const double epsilon = 0.000001; |
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static const RealType epsilon = 0.000001; |
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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<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<> |
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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(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(double e1, double 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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|
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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. |
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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 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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} |
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} |
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|
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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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/** |
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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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|
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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; |
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} |
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return true; |
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} |
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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 |
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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 |
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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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/** Negates the value of this vector in place. */ |
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inline void negate() { |
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data_[0] = -data_[0]; |
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data_[1] = -data_[1]; |
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data_[2] = -data_[2]; |
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} |
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/** Negates the value of this vector in place. */ |
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inline void negate() { |
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for (unsigned int i = 0; i < Dim; i++) |
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this->data_[i] = -this->data_[i]; |
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} |
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|
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/** |
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* Sets the value of this vector to the negation of vector v1. |
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* @param v1 the source vector |
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*/ |
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inline void negate(const Vector<Real, Dim>& v1) { |
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] = -v1.data_[i]; |
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/** |
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* Sets the value of this vector to the negation of vector v1. |
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* @param v1 the source vector |
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*/ |
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inline void negate(const Vector<Real, Dim>& v1) { |
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for (unsigned int i = 0; i < Dim; i++) |
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this->data_[i] = -v1.data_[i]; |
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|
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} |
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} |
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|
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/** |
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* Sets the value of this vector to the sum of itself and v1 (*this += v1). |
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* @param v1 the other vector |
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*/ |
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inline void add( const Vector<Real, Dim>& v1 ) { |
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] += v1.data_[i]; |
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} |
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|
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/** |
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* Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2). |
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* @param v1 the first vector |
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* @param v2 the second vector |
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*/ |
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inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] = v1.data_[i] + v2.data_[i]; |
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} |
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|
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/** |
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* Sets the value of this vector to the difference of itself and v1 (*this -= v1). |
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* @param v1 the other vector |
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*/ |
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inline void sub( const Vector<Real, Dim>& v1 ) { |
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] -= v1.data_[i]; |
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} |
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|
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/** |
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* Sets the value of this vector to the difference of vector v1 and v2 (*this = v1 - v2). |
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* @param v1 the first vector |
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* @param v2 the second vector |
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*/ |
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inline void sub( const Vector<Real, Dim>& v1, const Vector &v2 ){ |
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] = v1.data_[i] - v2.data_[i]; |
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} |
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|
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/** |
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* Sets the value of this vector to the scalar multiplication of itself (*this *= s). |
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* @param s the scalar value |
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*/ |
219 |
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inline void mul( double s ) { |
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] *= s; |
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} |
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|
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/** |
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* Sets the value of this vector to the scalar multiplication of vector v1 |
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* (*this = s * v1). |
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* @param s the scalar value |
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* @param v1 the vector |
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*/ |
230 |
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inline void mul( double s, const Vector<Real, Dim>& v1 ) { |
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for (unsigned int i = 0; i < Dim; i++) |
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data_[i] = s * v1.data_[i]; |
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} |
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|
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/** |
236 |
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* Sets the value of this vector to the scalar division of itself (*this /= s ). |
237 |
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* @param s the scalar value |
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*/ |
239 |
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inline void div( double s) { |
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< |
for (unsigned int i = 0; i < Dim; i++) |
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data_[i] /= s; |
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} |
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|
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/** |
245 |
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* Sets the value of this vector to the scalar division of vector v1 (*this = v1 / s ). |
246 |
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* @param v1 the source vector |
247 |
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* @param s the scalar value |
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*/ |
249 |
< |
inline void div( const Vector<Real, Dim>& v1, double s ) { |
250 |
< |
for (unsigned int i = 0; i < Dim; i++) |
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data_[i] = v1.data_[i] / s; |
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} |
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|
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/** @see #add */ |
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inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { |
256 |
< |
add(v1); |
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< |
return *this; |
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< |
} |
259 |
< |
|
260 |
< |
/** @see #sub */ |
261 |
< |
inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) { |
262 |
< |
sub(v1); |
263 |
< |
return *this; |
264 |
< |
} |
265 |
< |
|
266 |
< |
/** @see #mul */ |
267 |
< |
inline Vector<Real, Dim>& operator *=( double s) { |
268 |
< |
mul(s); |
269 |
< |
return *this; |
270 |
< |
} |
271 |
< |
|
272 |
< |
/** @see #div */ |
273 |
< |
inline Vector<Real, Dim>& operator /=( double s ) { |
274 |
< |
div(s); |
275 |
< |
return *this; |
276 |
< |
} |
277 |
< |
|
278 |
< |
/** |
279 |
< |
* Returns the length of this vector. |
280 |
< |
* @return the length of this vector |
281 |
< |
*/ |
282 |
< |
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 lengthSquare() { |
291 |
< |
return dot(*this, *this); |
292 |
< |
} |
293 |
< |
|
294 |
< |
/** Normalizes this vector in place */ |
295 |
< |
inline void normalize() { |
296 |
< |
double len; |
297 |
< |
|
298 |
< |
len = length(); |
299 |
< |
*this /= len; |
300 |
< |
} |
301 |
< |
|
302 |
< |
/** |
303 |
< |
* Tests if this vector is normalized |
304 |
< |
* @return true if this vector is normalized, otherwise return false |
305 |
< |
*/ |
306 |
< |
inline bool isNormalized() const |
307 |
< |
{ |
308 |
< |
return lengthSquare() == 1.0; |
309 |
< |
} |
310 |
< |
|
311 |
< |
protected: |
312 |
< |
double data_[3]; |
313 |
< |
|
314 |
< |
}; |
315 |
< |
|
316 |
< |
/** unary minus*/ |
317 |
< |
template<typename Real, unsigned int Dim> |
318 |
< |
inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ |
319 |
< |
Vector tmp(v1); |
320 |
< |
return tmp.negate(); |
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 |
< |
* Return the sum of two vectors (v1 - v2). |
325 |
< |
* @return the sum of two vectors |
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 |
< |
template<typename Real, unsigned int Dim> |
230 |
< |
inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
231 |
< |
Vector<Real, Dim> result; |
332 |
< |
|
333 |
< |
result.add(v1, v2); |
334 |
< |
return result; |
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 |
< |
* Return the difference of two vectors (v1 - v2). |
236 |
< |
* @return the difference of two vectors |
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 |
< |
template<typename Real, unsigned int Dim> |
249 |
< |
Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
250 |
< |
Vector<Real, Dim> result; |
346 |
< |
result.sub(v1, v2); |
347 |
< |
return result; |
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 |
< |
|
252 |
> |
|
253 |
|
/** |
254 |
< |
* Returns the vaule of scalar multiplication of this vector v1 (v1 * r). |
352 |
< |
* @return the vaule of scalar multiplication of this vector |
353 |
< |
* @param v1 the source vector |
254 |
> |
* Sets the value of this vector to the scalar multiplication of itself (*this *= s). |
255 |
|
* @param s the scalar value |
256 |
< |
*/ |
257 |
< |
template<typename Real, unsigned int Dim> |
258 |
< |
Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, double s) { |
259 |
< |
Vector<Real, Dim> result; |
359 |
< |
result.mul(s, v1); |
360 |
< |
return result; |
256 |
> |
*/ |
257 |
> |
inline void mul( Real s ) { |
258 |
> |
for (unsigned int i = 0; i < Dim; i++) |
259 |
> |
this->data_[i] *= s; |
260 |
|
} |
261 |
< |
|
261 |
> |
|
262 |
|
/** |
263 |
< |
* Returns the vaule of scalar multiplication of this vector v1 (v1 * r). |
264 |
< |
* @return the vaule of scalar multiplication of this vector |
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 |
< |
* @param v1 the source vector |
268 |
< |
*/ |
269 |
< |
template<typename Real, unsigned int Dim> |
270 |
< |
Vector<Real, Dim> operator * ( double s, const Vector<Real, Dim>& v1 ) { |
371 |
< |
Vector<Real, Dim> result; |
372 |
< |
result.mul(s, v1); |
373 |
< |
return result; |
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 |
< |
* Returns the value of division of a vector by a scalar. |
378 |
< |
* @return the vaule of scalar division of this vector |
379 |
< |
* @param v1 the source vector |
274 |
> |
* Sets the value of this vector to the scalar division of itself (*this /= s ). |
275 |
|
* @param s the scalar value |
276 |
< |
*/ |
277 |
< |
template<typename Real, unsigned int Dim> |
278 |
< |
Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, double s) { |
279 |
< |
Vector<Real, Dim> result; |
385 |
< |
result.div( v1,s); |
386 |
< |
return result; |
276 |
> |
*/ |
277 |
> |
inline void div( Real s) { |
278 |
> |
for (unsigned int i = 0; i < Dim; i++) |
279 |
> |
this->data_[i] /= s; |
280 |
|
} |
281 |
< |
|
281 |
> |
|
282 |
|
/** |
283 |
< |
* Returns the value of division of a vector by a scalar. |
391 |
< |
* @return the vaule of scalar division of this vector |
392 |
< |
* @param s the scalar value |
283 |
> |
* Sets the value of this vector to the scalar division of vector v1 (*this = v1 / s ). |
284 |
|
* @param v1 the source vector |
285 |
< |
*/ |
286 |
< |
template<typename Real, unsigned int Dim> |
287 |
< |
inline Vector<Real, Dim> operator /( double s, const Vector<Real, Dim>& v1 ) { |
288 |
< |
Vector<Real, Dim> result; |
289 |
< |
result.div( v1,s); |
399 |
< |
return result; |
285 |
> |
* @param s the scalar value |
286 |
> |
*/ |
287 |
> |
inline void div( const Vector<Real, Dim>& v1, Real s ) { |
288 |
> |
for (unsigned int i = 0; i < Dim; i++) |
289 |
> |
this->data_[i] = v1.data_[i] / s; |
290 |
|
} |
291 |
|
|
292 |
< |
/** fuzzy comparson */ |
293 |
< |
template<typename Real, unsigned int Dim> |
294 |
< |
inline bool epsilonEqual( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
292 |
> |
/** @see #add */ |
293 |
> |
inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { |
294 |
> |
add(v1); |
295 |
> |
return *this; |
296 |
> |
} |
297 |
|
|
298 |
+ |
/** @see #sub */ |
299 |
+ |
inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) { |
300 |
+ |
sub(v1); |
301 |
+ |
return *this; |
302 |
|
} |
303 |
|
|
304 |
< |
|
305 |
< |
/** |
306 |
< |
* Returns the dot product of two Vectors |
307 |
< |
* @param v1 first vector |
308 |
< |
* @param v2 second vector |
413 |
< |
* @return the dot product of v1 and v2 |
414 |
< |
*/ |
415 |
< |
template<typename Real, unsigned int Dim> |
416 |
< |
inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
417 |
< |
Real tmp; |
418 |
< |
tmp = 0; |
304 |
> |
/** @see #mul */ |
305 |
> |
inline Vector<Real, Dim>& operator *=( Real s) { |
306 |
> |
mul(s); |
307 |
> |
return *this; |
308 |
> |
} |
309 |
|
|
310 |
< |
for (unsigned int i = 0; i < Dim; i++) |
311 |
< |
tmp += v1[i] + v2[i]; |
312 |
< |
|
313 |
< |
return tmp; |
310 |
> |
/** @see #div */ |
311 |
> |
inline Vector<Real, Dim>& operator /=( Real s ) { |
312 |
> |
div(s); |
313 |
> |
return *this; |
314 |
|
} |
315 |
|
|
316 |
|
/** |
317 |
< |
* Returns the distance between two Vectors |
318 |
< |
* @param v1 first vector |
319 |
< |
* @param v2 second vector |
320 |
< |
* @return the distance between v1 and v2 |
321 |
< |
*/ |
432 |
< |
template<typename Real, unsigned int Dim> |
433 |
< |
inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
434 |
< |
Vector<Real, Dim> tempVector = v1 - v2; |
435 |
< |
return tempVector.length(); |
317 |
> |
* Returns the length of this vector. |
318 |
> |
* @return the length of this vector |
319 |
> |
*/ |
320 |
> |
inline Real length() { |
321 |
> |
return sqrt(lengthSquare()); |
322 |
|
} |
323 |
< |
|
323 |
> |
|
324 |
|
/** |
325 |
< |
* Returns the squared distance between two Vectors |
326 |
< |
* @param v1 first vector |
441 |
< |
* @param v2 second vector |
442 |
< |
* @return the squared distance between v1 and v2 |
325 |
> |
* Returns the squared length of this vector. |
326 |
> |
* @return the squared length of this vector |
327 |
|
*/ |
328 |
< |
template<typename Real, unsigned int Dim> |
329 |
< |
inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
446 |
< |
Vector<Real, Dim> tempVector = v1 - v2; |
447 |
< |
return tempVector.lengthSquare(); |
328 |
> |
inline Real lengthSquare() { |
329 |
> |
return dot(*this, *this); |
330 |
|
} |
331 |
+ |
|
332 |
+ |
/** Normalizes this vector in place */ |
333 |
+ |
inline void normalize() { |
334 |
+ |
Real len; |
335 |
|
|
336 |
+ |
len = length(); |
337 |
+ |
|
338 |
+ |
//if (len < oopse:epsilon) |
339 |
+ |
// throw(); |
340 |
+ |
|
341 |
+ |
*this /= len; |
342 |
+ |
} |
343 |
+ |
|
344 |
|
/** |
345 |
< |
* Write to an output stream |
345 |
> |
* Tests if this vector is normalized |
346 |
> |
* @return true if this vector is normalized, otherwise return false |
347 |
|
*/ |
348 |
< |
template<typename Real, unsigned int Dim> |
349 |
< |
std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v) { |
348 |
> |
inline bool isNormalized() { |
349 |
> |
return equal(lengthSquare(), (RealType)1); |
350 |
> |
} |
351 |
|
|
352 |
< |
o << "[" << v[0] << ", " << v[1] << ", " << v[2] << "]" << endl; |
353 |
< |
return o; |
352 |
> |
unsigned int size() {return Dim;} |
353 |
> |
protected: |
354 |
> |
Real data_[Dim]; |
355 |
> |
|
356 |
> |
}; |
357 |
> |
|
358 |
> |
/** unary minus*/ |
359 |
> |
template<typename Real, unsigned int Dim> |
360 |
> |
inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ |
361 |
> |
Vector<Real, Dim> tmp(v1); |
362 |
> |
tmp.negate(); |
363 |
> |
return tmp; |
364 |
> |
} |
365 |
> |
|
366 |
> |
/** |
367 |
> |
* Return the sum of two vectors (v1 - v2). |
368 |
> |
* @return the sum of two vectors |
369 |
> |
* @param v1 the first vector |
370 |
> |
* @param v2 the second vector |
371 |
> |
*/ |
372 |
> |
template<typename Real, unsigned int Dim> |
373 |
> |
inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
374 |
> |
Vector<Real, Dim> result; |
375 |
> |
|
376 |
> |
result.add(v1, v2); |
377 |
> |
return result; |
378 |
> |
} |
379 |
> |
|
380 |
> |
/** |
381 |
> |
* Return the difference of two vectors (v1 - v2). |
382 |
> |
* @return the difference of two vectors |
383 |
> |
* @param v1 the first vector |
384 |
> |
* @param v2 the second vector |
385 |
> |
*/ |
386 |
> |
template<typename Real, unsigned int Dim> |
387 |
> |
Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { |
388 |
> |
Vector<Real, Dim> result; |
389 |
> |
result.sub(v1, v2); |
390 |
> |
return result; |
391 |
> |
} |
392 |
> |
|
393 |
> |
/** |
394 |
> |
* Returns the vaule of scalar multiplication of this vector v1 (v1 * r). |
395 |
> |
* @return the vaule of scalar multiplication of this vector |
396 |
> |
* @param v1 the source vector |
397 |
> |
* @param s the scalar value |
398 |
> |
*/ |
399 |
> |
template<typename Real, unsigned int Dim> |
400 |
> |
Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, Real s) { |
401 |
> |
Vector<Real, Dim> result; |
402 |
> |
result.mul(v1,s); |
403 |
> |
return result; |
404 |
> |
} |
405 |
> |
|
406 |
> |
/** |
407 |
> |
* Returns the vaule of scalar multiplication of this vector v1 (v1 * r). |
408 |
> |
* @return the vaule of scalar multiplication of this vector |
409 |
> |
* @param s the scalar value |
410 |
> |
* @param v1 the source vector |
411 |
> |
*/ |
412 |
> |
template<typename Real, unsigned int Dim> |
413 |
> |
Vector<Real, Dim> operator * ( Real s, const Vector<Real, Dim>& v1 ) { |
414 |
> |
Vector<Real, Dim> result; |
415 |
> |
result.mul(v1, s); |
416 |
> |
return result; |
417 |
> |
} |
418 |
> |
|
419 |
> |
/** |
420 |
> |
* Returns the value of division of a vector by a scalar. |
421 |
> |
* @return the vaule of scalar division of this vector |
422 |
> |
* @param v1 the source vector |
423 |
> |
* @param s the scalar value |
424 |
> |
*/ |
425 |
> |
template<typename Real, unsigned int Dim> |
426 |
> |
Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, Real s) { |
427 |
> |
Vector<Real, Dim> result; |
428 |
> |
result.div( v1,s); |
429 |
> |
return result; |
430 |
> |
} |
431 |
> |
|
432 |
> |
/** |
433 |
> |
* Returns the dot product of two Vectors |
434 |
> |
* @param v1 first vector |
435 |
> |
* @param v2 second vector |
436 |
> |
* @return the dot product of v1 and v2 |
437 |
> |
*/ |
438 |
> |
template<typename Real, unsigned int Dim> |
439 |
> |
inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
440 |
> |
Real tmp; |
441 |
> |
tmp = 0; |
442 |
> |
|
443 |
> |
for (unsigned int i = 0; i < Dim; i++) |
444 |
> |
tmp += v1[i] * v2[i]; |
445 |
> |
|
446 |
> |
return tmp; |
447 |
> |
} |
448 |
> |
|
449 |
> |
/** |
450 |
> |
* Returns the distance between two Vectors |
451 |
> |
* @param v1 first vector |
452 |
> |
* @param v2 second vector |
453 |
> |
* @return the distance between v1 and v2 |
454 |
> |
*/ |
455 |
> |
template<typename Real, unsigned int Dim> |
456 |
> |
inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
457 |
> |
Vector<Real, Dim> tempVector = v1 - v2; |
458 |
> |
return tempVector.length(); |
459 |
> |
} |
460 |
> |
|
461 |
> |
/** |
462 |
> |
* Returns the squared distance between two Vectors |
463 |
> |
* @param v1 first vector |
464 |
> |
* @param v2 second vector |
465 |
> |
* @return the squared distance between v1 and v2 |
466 |
> |
*/ |
467 |
> |
template<typename Real, unsigned int Dim> |
468 |
> |
inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { |
469 |
> |
Vector<Real, Dim> tempVector = v1 - v2; |
470 |
> |
return tempVector.lengthSquare(); |
471 |
> |
} |
472 |
> |
|
473 |
> |
/** |
474 |
> |
* Write to an output stream |
475 |
> |
*/ |
476 |
> |
template<typename Real, unsigned int Dim> |
477 |
> |
std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v) { |
478 |
> |
|
479 |
> |
o << "[ "; |
480 |
> |
|
481 |
> |
for (unsigned int i = 0 ; i< Dim; i++) { |
482 |
> |
o << v[i]; |
483 |
> |
|
484 |
> |
if (i != Dim -1) { |
485 |
> |
o<< ", "; |
486 |
> |
} |
487 |
|
} |
488 |
+ |
|
489 |
+ |
o << " ]"; |
490 |
+ |
return o; |
491 |
+ |
} |
492 |
|
|
493 |
|
} |
494 |
|
#endif |