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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, 234107 (2008).           | 
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 * [4]  Kuang & Gezelter,  J. Chem. Phys. 133, 164101 (2010). | 
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 * [5]  Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011). | 
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 */ | 
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  | 
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/** | 
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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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 | 
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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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     * @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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                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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    inline Vector(const Real& 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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            /** | 
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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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     * 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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                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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                return true; | 
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            } | 
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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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            /** | 
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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]; | 
| 164 | 
< | 
                data_[2] = -data_[2]; | 
| 165 | 
< | 
            } | 
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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++) | 
| 173 | 
< | 
                    data_[i] = -v1.data_[i]; | 
| 174 | 
< | 
 | 
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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_; | 
| 173 | 
> | 
    } | 
| 174 | 
  | 
             | 
| 175 | 
< | 
            /** | 
| 176 | 
< | 
            * Sets the value of this vector to the sum of itself and v1 (*this += v1). | 
| 177 | 
< | 
            * @param v1 the other vector | 
| 178 | 
< | 
            */ | 
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< | 
            inline void add( const Vector<Real, Dim>& v1 ) { | 
| 180 | 
< | 
                for (unsigned int i = 0; i < Dim; i++) | 
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< | 
                    data_[i] += v1.data_[i]; | 
| 184 | 
< | 
                } | 
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> | 
    /** | 
| 176 | 
> | 
     * Tests if this vetor is equal to other vector | 
| 177 | 
> | 
     * @return true if equal, otherwise return false | 
| 178 | 
> | 
     * @param v vector to be compared | 
| 179 | 
> | 
     */ | 
| 180 | 
> | 
    inline bool operator ==(const Vector<Real, Dim>& v) { | 
| 181 | 
  | 
 | 
| 182 | 
< | 
            /** | 
| 183 | 
< | 
            * Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2). | 
| 184 | 
< | 
            * @param v1 the first vector | 
| 185 | 
< | 
            * @param v2 the second vector | 
| 186 | 
< | 
            */ | 
| 187 | 
< | 
            inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 188 | 
< | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 189 | 
< | 
                    data_[i] = v1.data_[i] + v2.data_[i]; | 
| 194 | 
< | 
            } | 
| 182 | 
> | 
      for (unsigned int i = 0; i < Dim; i ++) { | 
| 183 | 
> | 
        if (!equal(this->data_[i], v[i])) { | 
| 184 | 
> | 
          return false; | 
| 185 | 
> | 
        } | 
| 186 | 
> | 
      } | 
| 187 | 
> | 
                 | 
| 188 | 
> | 
      return true; | 
| 189 | 
> | 
    } | 
| 190 | 
  | 
 | 
| 191 | 
< | 
            /** | 
| 192 | 
< | 
            * Sets the value of this vector to the difference  of itself and v1 (*this -= v1). | 
| 193 | 
< | 
            * @param v1 the other vector | 
| 194 | 
< | 
            */ | 
| 195 | 
< | 
            inline void sub( const Vector<Real, Dim>& v1 ) { | 
| 196 | 
< | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 197 | 
< | 
                    data_[i] -= v1.data_[i]; | 
| 198 | 
< | 
            } | 
| 191 | 
> | 
    /** | 
| 192 | 
> | 
     * Tests if this vetor is not equal to other vector | 
| 193 | 
> | 
     * @return true if equal, otherwise return false | 
| 194 | 
> | 
     * @param v vector to be compared | 
| 195 | 
> | 
     */ | 
| 196 | 
> | 
    inline bool operator !=(const Vector<Real, Dim>& v) { | 
| 197 | 
> | 
      return !(*this == v); | 
| 198 | 
> | 
    } | 
| 199 | 
  | 
 | 
| 200 | 
< | 
            /** | 
| 201 | 
< | 
            * Sets the value of this vector to the difference of vector v1 and v2 (*this = v1 - v2). | 
| 202 | 
< | 
            * @param v1 the first vector | 
| 203 | 
< | 
            * @param v2 the second vector | 
| 204 | 
< | 
            */ | 
| 205 | 
< | 
            inline void sub( const Vector<Real, Dim>& v1, const Vector  &v2 ){ | 
| 206 | 
< | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 207 | 
< | 
                    data_[i] = v1.data_[i] - v2.data_[i]; | 
| 208 | 
< | 
            } | 
| 200 | 
> | 
    /** Zeros out the values in this vector in place */ | 
| 201 | 
> | 
    inline void zero() { | 
| 202 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 203 | 
> | 
        this->data_[i] = 0; | 
| 204 | 
> | 
    }       | 
| 205 | 
> | 
              | 
| 206 | 
> | 
    /** Negates the value of this vector in place. */            | 
| 207 | 
> | 
    inline void negate() { | 
| 208 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 209 | 
> | 
        this->data_[i] = -this->data_[i]; | 
| 210 | 
> | 
    } | 
| 211 | 
  | 
 | 
| 212 | 
< | 
            /** | 
| 213 | 
< | 
            * Sets the value of this vector to the scalar multiplication of itself (*this *= s). | 
| 214 | 
< | 
            * @param s the scalar value | 
| 215 | 
< | 
            */ | 
| 216 | 
< | 
            inline void mul( double s ) { | 
| 217 | 
< | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 218 | 
< | 
                   data_[i] *= s; | 
| 222 | 
< | 
            } | 
| 212 | 
> | 
    /** | 
| 213 | 
> | 
     * Sets the value of this vector to the negation of vector v1. | 
| 214 | 
> | 
     * @param v1 the source vector | 
| 215 | 
> | 
     */ | 
| 216 | 
> | 
    inline void negate(const Vector<Real, Dim>& v1) { | 
| 217 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 218 | 
> | 
        this->data_[i] = -v1.data_[i]; | 
| 219 | 
  | 
 | 
| 220 | 
< | 
            /** | 
| 225 | 
< | 
            * Sets the value of this vector to the scalar multiplication of vector v1   | 
| 226 | 
< | 
            * (*this = s * v1). | 
| 227 | 
< | 
            * @param s the scalar value | 
| 228 | 
< | 
            * @param v1 the vector | 
| 229 | 
< | 
            */ | 
| 230 | 
< | 
            inline void mul( double s, const Vector<Real, Dim>& v1 ) { | 
| 231 | 
< | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 232 | 
< | 
                    data_[i] = s * v1.data_[i]; | 
| 233 | 
< | 
            } | 
| 234 | 
< | 
 | 
| 235 | 
< | 
            /** | 
| 236 | 
< | 
            * Sets the value of this vector to the scalar division of itself  (*this /= s ). | 
| 237 | 
< | 
            * @param s the scalar value | 
| 238 | 
< | 
            */              | 
| 239 | 
< | 
            inline void div( double s) { | 
| 240 | 
< | 
                for (unsigned int i = 0; i < Dim; i++)             | 
| 241 | 
< | 
                    data_[i] /= s; | 
| 242 | 
< | 
            } | 
| 243 | 
< | 
 | 
| 244 | 
< | 
            /** | 
| 245 | 
< | 
            * Sets the value of this vector to the scalar division of vector v1  (*this = v1 / s ). | 
| 246 | 
< | 
            * @param v1 the source vector | 
| 247 | 
< | 
            * @param s the scalar value | 
| 248 | 
< | 
            */                          | 
| 249 | 
< | 
            inline void div( const Vector<Real, Dim>& v1, double s ) { | 
| 250 | 
< | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 251 | 
< | 
                    data_[i] = v1.data_[i] / s; | 
| 252 | 
< | 
            } | 
| 253 | 
< | 
 | 
| 254 | 
< | 
            /** @see #add */ | 
| 255 | 
< | 
            inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { | 
| 256 | 
< | 
                add(v1); | 
| 257 | 
< | 
                return *this; | 
| 258 | 
< | 
            } | 
| 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 | 
< | 
            } | 
| 220 | 
> | 
    } | 
| 221 | 
  | 
             | 
| 222 | 
< | 
            /** | 
| 223 | 
< | 
             * Returns the squared length of this vector. | 
| 224 | 
< | 
             * @return the squared length of this vector | 
| 225 | 
< | 
             */ | 
| 226 | 
< | 
             inline double lengthSquared() { | 
| 227 | 
< | 
                return dot(*this, *this); | 
| 228 | 
< | 
            } | 
| 293 | 
< | 
             | 
| 294 | 
< | 
            /** Normalizes this vector in place */ | 
| 295 | 
< | 
            inline void normalize() { | 
| 296 | 
< | 
                double len; | 
| 297 | 
< | 
 | 
| 298 | 
< | 
                len = length(); | 
| 299 | 
< | 
                *this /= len; | 
| 300 | 
< | 
            } | 
| 301 | 
< | 
             | 
| 302 | 
< | 
        protected: | 
| 303 | 
< | 
            double data_[3]; | 
| 304 | 
< | 
         | 
| 305 | 
< | 
    }; | 
| 306 | 
< | 
 | 
| 307 | 
< | 
    /** unary minus*/ | 
| 308 | 
< | 
    template<typename Real, unsigned int Dim>     | 
| 309 | 
< | 
    inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ | 
| 310 | 
< | 
        Vector tmp(v1); | 
| 311 | 
< | 
        return tmp.negate(); | 
| 222 | 
> | 
    /** | 
| 223 | 
> | 
     * Sets the value of this vector to the sum of itself and v1 (*this += v1). | 
| 224 | 
> | 
     * @param v1 the other vector | 
| 225 | 
> | 
     */ | 
| 226 | 
> | 
    inline void add( const Vector<Real, Dim>& v1 ) { | 
| 227 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 228 | 
> | 
        this->data_[i] += v1.data_[i]; | 
| 229 | 
  | 
    } | 
| 230 | 
  | 
 | 
| 231 | 
  | 
    /** | 
| 232 | 
< | 
     * Return the sum of two vectors  (v1 - v2).  | 
| 316 | 
< | 
     * @return the sum of two vectors | 
| 232 | 
> | 
     * Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2). | 
| 233 | 
  | 
     * @param v1 the first vector | 
| 234 | 
  | 
     * @param v2 the second vector | 
| 235 | 
< | 
     */    | 
| 236 | 
< | 
    template<typename Real, unsigned int Dim>     | 
| 237 | 
< | 
    inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 238 | 
< | 
        Vector<Real, Dim> result; | 
| 323 | 
< | 
         | 
| 324 | 
< | 
        result.add(v1, v2); | 
| 325 | 
< | 
        return result;         | 
| 235 | 
> | 
     */ | 
| 236 | 
> | 
    inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 237 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 238 | 
> | 
        this->data_[i] = v1.data_[i] + v2.data_[i]; | 
| 239 | 
  | 
    } | 
| 240 | 
  | 
 | 
| 241 | 
  | 
    /** | 
| 242 | 
< | 
     * Return the difference of two vectors  (v1 - v2).  | 
| 243 | 
< | 
     * @return the difference of two vectors | 
| 242 | 
> | 
     * Sets the value of this vector to the difference  of itself and v1 (*this -= v1). | 
| 243 | 
> | 
     * @param v1 the other vector | 
| 244 | 
> | 
     */ | 
| 245 | 
> | 
    inline void sub( const Vector<Real, Dim>& v1 ) { | 
| 246 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 247 | 
> | 
        this->data_[i] -= v1.data_[i]; | 
| 248 | 
> | 
    } | 
| 249 | 
> | 
 | 
| 250 | 
> | 
    /** | 
| 251 | 
> | 
     * Sets the value of this vector to the difference of vector v1 and v2 (*this = v1 - v2). | 
| 252 | 
  | 
     * @param v1 the first vector | 
| 253 | 
  | 
     * @param v2 the second vector | 
| 254 | 
< | 
     */   | 
| 255 | 
< | 
    template<typename Real, unsigned int Dim>     | 
| 256 | 
< | 
    Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 257 | 
< | 
        Vector<Real, Dim> result; | 
| 337 | 
< | 
        result.sub(v1, v2); | 
| 338 | 
< | 
        return result;         | 
| 254 | 
> | 
     */ | 
| 255 | 
> | 
    inline void sub( const Vector<Real, Dim>& v1, const Vector  &v2 ){ | 
| 256 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 257 | 
> | 
        this->data_[i] = v1.data_[i] - v2.data_[i]; | 
| 258 | 
  | 
    } | 
| 259 | 
< | 
     | 
| 259 | 
> | 
 | 
| 260 | 
  | 
    /** | 
| 261 | 
< | 
     * Returns the vaule of scalar multiplication of this vector v1 (v1 * r).  | 
| 343 | 
< | 
     * @return  the vaule of scalar multiplication of this vector | 
| 344 | 
< | 
     * @param v1 the source vector | 
| 261 | 
> | 
     * Sets the value of this vector to the scalar multiplication of itself (*this *= s). | 
| 262 | 
  | 
     * @param s the scalar value | 
| 263 | 
< | 
     */  | 
| 264 | 
< | 
    template<typename Real, unsigned int Dim>                  | 
| 265 | 
< | 
    Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, double s) {        | 
| 266 | 
< | 
        Vector<Real, Dim> result; | 
| 350 | 
< | 
        result.mul(s, v1); | 
| 351 | 
< | 
        return result;            | 
| 263 | 
> | 
     */ | 
| 264 | 
> | 
    inline void mul( Real s ) { | 
| 265 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 266 | 
> | 
        this->data_[i] *= s; | 
| 267 | 
  | 
    } | 
| 268 | 
< | 
     | 
| 268 | 
> | 
 | 
| 269 | 
  | 
    /** | 
| 270 | 
< | 
     * Returns the vaule of scalar multiplication of this vector v1 (v1 * r).  | 
| 271 | 
< | 
     * @return  the vaule of scalar multiplication of this vector | 
| 270 | 
> | 
     * Sets the value of this vector to the scalar multiplication of vector v1   | 
| 271 | 
> | 
     * (*this = s * v1). | 
| 272 | 
> | 
     * @param v1 the vector             | 
| 273 | 
  | 
     * @param s the scalar value | 
| 274 | 
< | 
     * @param v1 the source vector | 
| 275 | 
< | 
     */   | 
| 276 | 
< | 
    template<typename Real, unsigned int Dim> | 
| 277 | 
< | 
    Vector<Real, Dim> operator * ( double s, const Vector<Real, Dim>& v1 ) { | 
| 362 | 
< | 
        Vector<Real, Dim> result; | 
| 363 | 
< | 
        result.mul(s, v1); | 
| 364 | 
< | 
        return result;            | 
| 274 | 
> | 
     */ | 
| 275 | 
> | 
    inline void mul( const Vector<Real, Dim>& v1, Real s) { | 
| 276 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 277 | 
> | 
        this->data_[i] = s * v1.data_[i]; | 
| 278 | 
  | 
    } | 
| 279 | 
  | 
 | 
| 280 | 
  | 
    /** | 
| 281 | 
< | 
     * Returns the  value of division of a vector by a scalar.  | 
| 282 | 
< | 
     * @return  the vaule of scalar division of this vector | 
| 283 | 
< | 
     * @param v1 the source vector | 
| 284 | 
< | 
     * @param s the scalar value | 
| 281 | 
> | 
     * Sets the elements of this vector to the multiplication of | 
| 282 | 
> | 
     * elements of two other vectors.  Not to be confused with scalar | 
| 283 | 
> | 
     * multiplication (mul) or dot products. | 
| 284 | 
> | 
     * | 
| 285 | 
> | 
     * (*this.data_[i] =  v1.data_[i] * v2.data_[i]). | 
| 286 | 
> | 
     * @param v1 the first vector             | 
| 287 | 
> | 
     * @param v2 the second vector | 
| 288 | 
  | 
     */ | 
| 289 | 
< | 
    template<typename Real, unsigned int Dim>     | 
| 290 | 
< | 
    Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, double s) {        | 
| 291 | 
< | 
        Vector<Real, Dim> result; | 
| 376 | 
< | 
        result.div( v1,s); | 
| 377 | 
< | 
        return result;            | 
| 289 | 
> | 
    inline void Vmul( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 290 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 291 | 
> | 
        this->data_[i] = v1.data_[i] * v2.data_[i]; | 
| 292 | 
  | 
    } | 
| 293 | 
+ | 
 | 
| 294 | 
+ | 
    /* replaces the elements with the absolute values of those elements */ | 
| 295 | 
+ | 
    inline Vector<Real, Dim>& abs() { | 
| 296 | 
+ | 
      for (unsigned int i = 0; i < Dim; i++) { | 
| 297 | 
+ | 
        this->data_[i] = std::abs(this->data_[i]); | 
| 298 | 
+ | 
      } | 
| 299 | 
+ | 
      return *this; | 
| 300 | 
+ | 
    } | 
| 301 | 
  | 
     | 
| 302 | 
+ | 
    /* returns the maximum value in this vector */ | 
| 303 | 
+ | 
    inline Real max() { | 
| 304 | 
+ | 
      Real val = this->data_[0]; | 
| 305 | 
+ | 
      for (unsigned int i = 0; i < Dim; i++) { | 
| 306 | 
+ | 
        if (this->data_[i] > val) val = this->data_[i]; | 
| 307 | 
+ | 
      } | 
| 308 | 
+ | 
      return val; | 
| 309 | 
+ | 
    } | 
| 310 | 
+ | 
      | 
| 311 | 
  | 
    /** | 
| 312 | 
< | 
     * Returns the  value of division of a vector by a scalar.  | 
| 382 | 
< | 
     * @return  the vaule of scalar division of this vector | 
| 312 | 
> | 
     * Sets the value of this vector to the scalar division of itself  (*this /= s ). | 
| 313 | 
  | 
     * @param s the scalar value | 
| 314 | 
+ | 
     */              | 
| 315 | 
+ | 
    inline void div( Real s) { | 
| 316 | 
+ | 
      for (unsigned int i = 0; i < Dim; i++)             | 
| 317 | 
+ | 
        this->data_[i] /= s; | 
| 318 | 
+ | 
    } | 
| 319 | 
+ | 
 | 
| 320 | 
+ | 
    /** | 
| 321 | 
+ | 
     * Sets the value of this vector to the scalar division of vector v1  (*this = v1 / s ). | 
| 322 | 
  | 
     * @param v1 the source vector | 
| 323 | 
+ | 
     * @param s the scalar value | 
| 324 | 
+ | 
     */                          | 
| 325 | 
+ | 
    inline void div( const Vector<Real, Dim>& v1, Real s ) { | 
| 326 | 
+ | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 327 | 
+ | 
        this->data_[i] = v1.data_[i] / s; | 
| 328 | 
+ | 
    } | 
| 329 | 
+ | 
 | 
| 330 | 
+ | 
    /** | 
| 331 | 
+ | 
     * Sets the elements of this vector to the division of | 
| 332 | 
+ | 
     * elements of two other vectors.  Not to be confused with scalar | 
| 333 | 
+ | 
     * division (div) | 
| 334 | 
+ | 
     * | 
| 335 | 
+ | 
     * (*this.data_[i] =  v1.data_[i] / v2.data_[i]). | 
| 336 | 
+ | 
     * @param v1 the first vector             | 
| 337 | 
+ | 
     * @param v2 the second vector | 
| 338 | 
  | 
     */ | 
| 339 | 
< | 
    template<typename Real, unsigned int Dim>         | 
| 340 | 
< | 
    inline Vector<Real, Dim> operator /( double s, const Vector<Real, Dim>& v1 ) { | 
| 341 | 
< | 
        Vector<Real, Dim> result; | 
| 389 | 
< | 
        result.div( v1,s); | 
| 390 | 
< | 
        return result;            | 
| 339 | 
> | 
    inline void Vdiv( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 340 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 341 | 
> | 
        this->data_[i] = v1.data_[i] / v2.data_[i]; | 
| 342 | 
  | 
    } | 
| 343 | 
  | 
 | 
| 393 | 
– | 
    /** fuzzy comparson */ | 
| 394 | 
– | 
    template<typename Real, unsigned int Dim>         | 
| 395 | 
– | 
    inline bool epsilonEqual( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 344 | 
  | 
 | 
| 345 | 
+ | 
    /** @see #add */ | 
| 346 | 
+ | 
    inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) { | 
| 347 | 
+ | 
      add(v1); | 
| 348 | 
+ | 
      return *this; | 
| 349 | 
  | 
    } | 
| 350 | 
  | 
 | 
| 351 | 
< | 
     | 
| 352 | 
< | 
    /** | 
| 353 | 
< | 
     * Returns the dot product of two Vectors | 
| 354 | 
< | 
     * @param v1 first vector | 
| 355 | 
< | 
     * @param v2 second vector | 
| 404 | 
< | 
     * @return the dot product of v1 and v2 | 
| 405 | 
< | 
     */ | 
| 406 | 
< | 
    template<typename Real, unsigned int Dim>     | 
| 407 | 
< | 
    inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 408 | 
< | 
                Real tmp; | 
| 409 | 
< | 
                tmp = 0; | 
| 351 | 
> | 
    /** @see #sub */ | 
| 352 | 
> | 
    inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) { | 
| 353 | 
> | 
      sub(v1); | 
| 354 | 
> | 
      return *this; | 
| 355 | 
> | 
    } | 
| 356 | 
  | 
 | 
| 357 | 
< | 
                for (unsigned int i = 0; i < Dim; i++) | 
| 358 | 
< | 
                        tmp += v1[i] + v2[i]; | 
| 359 | 
< | 
                 | 
| 360 | 
< | 
                return tmp; | 
| 357 | 
> | 
    /** @see #mul */ | 
| 358 | 
> | 
    inline Vector<Real, Dim>& operator *=( Real s) { | 
| 359 | 
> | 
      mul(s); | 
| 360 | 
> | 
      return *this; | 
| 361 | 
  | 
    } | 
| 362 | 
  | 
 | 
| 363 | 
+ | 
    /** @see #div */ | 
| 364 | 
+ | 
    inline Vector<Real, Dim>& operator /=( Real s ) { | 
| 365 | 
+ | 
      div(s); | 
| 366 | 
+ | 
      return *this; | 
| 367 | 
+ | 
    } | 
| 368 | 
+ | 
 | 
| 369 | 
  | 
    /** | 
| 370 | 
< | 
     * Returns the distance between  two Vectors | 
| 371 | 
< | 
     * @param v1 first vector | 
| 372 | 
< | 
     * @param v2 second vector | 
| 373 | 
< | 
     * @return the distance between v1 and v2 | 
| 374 | 
< | 
     */  | 
| 375 | 
< | 
    template<typename Real, unsigned int Dim>     | 
| 376 | 
< | 
    inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 377 | 
< | 
        Vector<Real, Dim> tempVector = v1 - v2; | 
| 378 | 
< | 
        return tempVector.length(); | 
| 370 | 
> | 
     * Returns the sum of all elements of this vector. | 
| 371 | 
> | 
     * @return the sum of all elements of this vector | 
| 372 | 
> | 
     */ | 
| 373 | 
> | 
    inline Real sum() { | 
| 374 | 
> | 
      Real tmp; | 
| 375 | 
> | 
      tmp = 0; | 
| 376 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 377 | 
> | 
        tmp += this->data_[i]; | 
| 378 | 
> | 
      return tmp;   | 
| 379 | 
  | 
    } | 
| 380 | 
  | 
 | 
| 381 | 
  | 
    /** | 
| 382 | 
< | 
     * Returns the squared distance between  two Vectors | 
| 383 | 
< | 
     * @param v1 first vector | 
| 432 | 
< | 
     * @param v2 second vector | 
| 433 | 
< | 
     * @return the squared distance between v1 and v2 | 
| 382 | 
> | 
     * Returns the product of all elements of this vector. | 
| 383 | 
> | 
     * @return the product of all elements of this vector | 
| 384 | 
  | 
     */ | 
| 385 | 
< | 
    template<typename Real, unsigned int Dim> | 
| 386 | 
< | 
    inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 387 | 
< | 
        Vector<Real, Dim> tempVector = v1 - v2; | 
| 388 | 
< | 
        return tempVector.lengthSquare(); | 
| 385 | 
> | 
    inline Real componentProduct() { | 
| 386 | 
> | 
      Real tmp; | 
| 387 | 
> | 
      tmp = 1; | 
| 388 | 
> | 
      for (unsigned int i = 0; i < Dim; i++) | 
| 389 | 
> | 
        tmp *= this->data_[i]; | 
| 390 | 
> | 
      return tmp;   | 
| 391 | 
  | 
    } | 
| 392 | 
+ | 
             | 
| 393 | 
+ | 
    /** | 
| 394 | 
+ | 
     * Returns the length of this vector. | 
| 395 | 
+ | 
     * @return the length of this vector | 
| 396 | 
+ | 
     */ | 
| 397 | 
+ | 
    inline Real length() { | 
| 398 | 
+ | 
      return sqrt(lengthSquare());   | 
| 399 | 
+ | 
    } | 
| 400 | 
+ | 
             | 
| 401 | 
+ | 
    /** | 
| 402 | 
+ | 
     * Returns the squared length of this vector. | 
| 403 | 
+ | 
     * @return the squared length of this vector | 
| 404 | 
+ | 
     */ | 
| 405 | 
+ | 
    inline Real lengthSquare() { | 
| 406 | 
+ | 
      return dot(*this, *this); | 
| 407 | 
+ | 
    } | 
| 408 | 
+ | 
             | 
| 409 | 
+ | 
    /** Normalizes this vector in place */ | 
| 410 | 
+ | 
    inline void normalize() { | 
| 411 | 
+ | 
      Real len; | 
| 412 | 
  | 
 | 
| 413 | 
+ | 
      len = length(); | 
| 414 | 
+ | 
                 | 
| 415 | 
+ | 
      //if (len < OpenMD::NumericConstant::epsilon) | 
| 416 | 
+ | 
      //  throw(); | 
| 417 | 
+ | 
                 | 
| 418 | 
+ | 
      *this /= len; | 
| 419 | 
+ | 
    } | 
| 420 | 
+ | 
 | 
| 421 | 
  | 
    /** | 
| 422 | 
< | 
     * Write to an output stream | 
| 422 | 
> | 
     * Tests if this vector is normalized | 
| 423 | 
> | 
     * @return true if this vector is normalized, otherwise return false | 
| 424 | 
  | 
     */ | 
| 425 | 
< | 
    template<typename Real, unsigned int Dim> | 
| 426 | 
< | 
    std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v1 ) { | 
| 425 | 
> | 
    inline bool isNormalized() { | 
| 426 | 
> | 
      return equal(lengthSquare(), (RealType)1); | 
| 427 | 
> | 
    }            | 
| 428 | 
> | 
 | 
| 429 | 
> | 
    unsigned int size() {return Dim;} | 
| 430 | 
> | 
  protected: | 
| 431 | 
> | 
    Real data_[Dim]; | 
| 432 | 
  | 
         | 
| 433 | 
< | 
        return o;         | 
| 433 | 
> | 
  }; | 
| 434 | 
> | 
 | 
| 435 | 
> | 
  /** unary minus*/ | 
| 436 | 
> | 
  template<typename Real, unsigned int Dim>     | 
| 437 | 
> | 
  inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){ | 
| 438 | 
> | 
    Vector<Real, Dim> tmp(v1); | 
| 439 | 
> | 
    tmp.negate(); | 
| 440 | 
> | 
    return tmp; | 
| 441 | 
> | 
  } | 
| 442 | 
> | 
 | 
| 443 | 
> | 
  /** | 
| 444 | 
> | 
   * Return the sum of two vectors  (v1 - v2).  | 
| 445 | 
> | 
   * @return the sum of two vectors | 
| 446 | 
> | 
   * @param v1 the first vector | 
| 447 | 
> | 
   * @param v2 the second vector | 
| 448 | 
> | 
   */    | 
| 449 | 
> | 
  template<typename Real, unsigned int Dim>     | 
| 450 | 
> | 
  inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 451 | 
> | 
    Vector<Real, Dim> result; | 
| 452 | 
> | 
         | 
| 453 | 
> | 
    result.add(v1, v2); | 
| 454 | 
> | 
    return result;         | 
| 455 | 
> | 
  } | 
| 456 | 
> | 
 | 
| 457 | 
> | 
  /** | 
| 458 | 
> | 
   * Return the difference of two vectors  (v1 - v2).  | 
| 459 | 
> | 
   * @return the difference of two vectors | 
| 460 | 
> | 
   * @param v1 the first vector | 
| 461 | 
> | 
   * @param v2 the second vector | 
| 462 | 
> | 
   */   | 
| 463 | 
> | 
  template<typename Real, unsigned int Dim>     | 
| 464 | 
> | 
  Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) { | 
| 465 | 
> | 
    Vector<Real, Dim> result; | 
| 466 | 
> | 
    result.sub(v1, v2); | 
| 467 | 
> | 
    return result;         | 
| 468 | 
> | 
  } | 
| 469 | 
> | 
     | 
| 470 | 
> | 
  /** | 
| 471 | 
> | 
   * Returns the vaule of scalar multiplication of this vector v1 (v1 * r).  | 
| 472 | 
> | 
   * @return  the vaule of scalar multiplication of this vector | 
| 473 | 
> | 
   * @param v1 the source vector | 
| 474 | 
> | 
   * @param s the scalar value | 
| 475 | 
> | 
   */  | 
| 476 | 
> | 
  template<typename Real, unsigned int Dim>                  | 
| 477 | 
> | 
  Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, Real s) {        | 
| 478 | 
> | 
    Vector<Real, Dim> result; | 
| 479 | 
> | 
    result.mul(v1,s); | 
| 480 | 
> | 
    return result;            | 
| 481 | 
> | 
  } | 
| 482 | 
> | 
     | 
| 483 | 
> | 
  /** | 
| 484 | 
> | 
   * Returns the vaule of scalar multiplication of this vector v1 (v1 * r).  | 
| 485 | 
> | 
   * @return  the vaule of scalar multiplication of this vector | 
| 486 | 
> | 
   * @param s the scalar value | 
| 487 | 
> | 
   * @param v1 the source vector | 
| 488 | 
> | 
   */   | 
| 489 | 
> | 
  template<typename Real, unsigned int Dim> | 
| 490 | 
> | 
  Vector<Real, Dim> operator * ( Real s, const Vector<Real, Dim>& v1 ) { | 
| 491 | 
> | 
    Vector<Real, Dim> result; | 
| 492 | 
> | 
    result.mul(v1, s); | 
| 493 | 
> | 
    return result;            | 
| 494 | 
> | 
  } | 
| 495 | 
> | 
 | 
| 496 | 
> | 
  /** | 
| 497 | 
> | 
   * Returns the  value of division of a vector by a scalar.  | 
| 498 | 
> | 
   * @return  the vaule of scalar division of this vector | 
| 499 | 
> | 
   * @param v1 the source vector | 
| 500 | 
> | 
   * @param s the scalar value | 
| 501 | 
> | 
   */ | 
| 502 | 
> | 
  template<typename Real, unsigned int Dim>     | 
| 503 | 
> | 
  Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, Real s) {        | 
| 504 | 
> | 
    Vector<Real, Dim> result; | 
| 505 | 
> | 
    result.div( v1,s); | 
| 506 | 
> | 
    return result;            | 
| 507 | 
> | 
  } | 
| 508 | 
> | 
     | 
| 509 | 
> | 
  /** | 
| 510 | 
> | 
   * Returns the dot product of two Vectors | 
| 511 | 
> | 
   * @param v1 first vector | 
| 512 | 
> | 
   * @param v2 second vector | 
| 513 | 
> | 
   * @return the dot product of v1 and v2 | 
| 514 | 
> | 
   */ | 
| 515 | 
> | 
  template<typename Real, unsigned int Dim>     | 
| 516 | 
> | 
  inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 517 | 
> | 
    Real tmp; | 
| 518 | 
> | 
    tmp = 0; | 
| 519 | 
> | 
 | 
| 520 | 
> | 
    for (unsigned int i = 0; i < Dim; i++) | 
| 521 | 
> | 
      tmp += v1[i] * v2[i]; | 
| 522 | 
> | 
 | 
| 523 | 
> | 
    return tmp; | 
| 524 | 
> | 
  } | 
| 525 | 
> | 
 | 
| 526 | 
> | 
 | 
| 527 | 
> | 
   | 
| 528 | 
> | 
 | 
| 529 | 
> | 
  /** | 
| 530 | 
> | 
   * Returns the wide dot product of three Vectors.  Compare with | 
| 531 | 
> | 
   * Rapaport's VWDot function. | 
| 532 | 
> | 
   * | 
| 533 | 
> | 
   * @param v1 first vector | 
| 534 | 
> | 
   * @param v2 second vector | 
| 535 | 
> | 
   * @param v3 third vector | 
| 536 | 
> | 
   * @return the wide dot product of v1, v2, and v3. | 
| 537 | 
> | 
   */ | 
| 538 | 
> | 
  template<typename Real, unsigned int Dim>     | 
| 539 | 
> | 
  inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2, const Vector<Real, Dim>& v3 ) { | 
| 540 | 
> | 
    Real tmp; | 
| 541 | 
> | 
    tmp = 0; | 
| 542 | 
> | 
 | 
| 543 | 
> | 
    for (unsigned int i = 0; i < Dim; i++) | 
| 544 | 
> | 
      tmp += v1[i] * v2[i] * v3[i]; | 
| 545 | 
> | 
 | 
| 546 | 
> | 
    return tmp; | 
| 547 | 
> | 
  } | 
| 548 | 
> | 
 | 
| 549 | 
> | 
 | 
| 550 | 
> | 
  /** | 
| 551 | 
> | 
   * Returns the distance between  two Vectors | 
| 552 | 
> | 
   * @param v1 first vector | 
| 553 | 
> | 
   * @param v2 second vector | 
| 554 | 
> | 
   * @return the distance between v1 and v2 | 
| 555 | 
> | 
   */    | 
| 556 | 
> | 
  template<typename Real, unsigned int Dim>     | 
| 557 | 
> | 
  inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 558 | 
> | 
    Vector<Real, Dim> tempVector = v1 - v2; | 
| 559 | 
> | 
    return tempVector.length(); | 
| 560 | 
> | 
  } | 
| 561 | 
> | 
 | 
| 562 | 
> | 
  /** | 
| 563 | 
> | 
   * Returns the squared distance between  two Vectors | 
| 564 | 
> | 
   * @param v1 first vector | 
| 565 | 
> | 
   * @param v2 second vector | 
| 566 | 
> | 
   * @return the squared distance between v1 and v2 | 
| 567 | 
> | 
   */ | 
| 568 | 
> | 
  template<typename Real, unsigned int Dim> | 
| 569 | 
> | 
  inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) { | 
| 570 | 
> | 
    Vector<Real, Dim> tempVector = v1 - v2; | 
| 571 | 
> | 
    return tempVector.lengthSquare(); | 
| 572 | 
> | 
  } | 
| 573 | 
> | 
 | 
| 574 | 
> | 
  /** | 
| 575 | 
> | 
   * Write to an output stream | 
| 576 | 
> | 
   */ | 
| 577 | 
> | 
  template<typename Real, unsigned int Dim> | 
| 578 | 
> | 
  std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v) { | 
| 579 | 
> | 
 | 
| 580 | 
> | 
    o << "[ "; | 
| 581 | 
> | 
         | 
| 582 | 
> | 
    for (unsigned int i = 0 ; i< Dim; i++) { | 
| 583 | 
> | 
      o << v[i]; | 
| 584 | 
> | 
 | 
| 585 | 
> | 
      if (i  != Dim -1) { | 
| 586 | 
> | 
        o<< ", "; | 
| 587 | 
> | 
      } | 
| 588 | 
  | 
    } | 
| 589 | 
+ | 
 | 
| 590 | 
+ | 
    o << " ]"; | 
| 591 | 
+ | 
    return o;         | 
| 592 | 
+ | 
  } | 
| 593 | 
  | 
     | 
| 594 | 
  | 
} | 
| 595 | 
  | 
#endif |