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/* | 
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 * Copyright (c) 2005 The University of Notre Dame. All Rights Reserved. | 
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 * | 
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 * The University of Notre Dame grants you ("Licensee") a | 
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 * non-exclusive, royalty free, license to use, modify and | 
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 * redistribute this software in source and binary code form, provided | 
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 * that the following conditions are met: | 
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 * | 
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 * 1. Redistributions of source code must retain the above copyright | 
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 *    notice, this list of conditions and the following disclaimer. | 
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 * | 
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 * 2. Redistributions in binary form must reproduce the above copyright | 
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 *    notice, this list of conditions and the following disclaimer in the | 
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 *    documentation and/or other materials provided with the | 
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 *    distribution. | 
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 * | 
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 * This software is provided "AS IS," without a warranty of any | 
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 * kind. All express or implied conditions, representations and | 
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 * warranties, including any implied warranty of merchantability, | 
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 * fitness for a particular purpose or non-infringement, are hereby | 
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 * excluded.  The University of Notre Dame and its licensors shall not | 
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 * be liable for any damages suffered by licensee as a result of | 
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 * using, modifying or distributing the software or its | 
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 * derivatives. In no event will the University of Notre Dame or its | 
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 * licensors be liable for any lost revenue, profit or data, or for | 
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 * direct, indirect, special, consequential, incidental or punitive | 
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 * damages, however caused and regardless of the theory of liability, | 
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 * arising out of the use of or inability to use software, even if the | 
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 * University of Notre Dame has been advised of the possibility of | 
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 * such damages. | 
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 * | 
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 * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your | 
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 * research, please cite the appropriate papers when you publish your | 
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 * work.  Good starting points are: | 
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 *                                                                       | 
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 * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).              | 
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 * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).           | 
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 * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).           | 
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 * [4]  Kuang & Gezelter,  J. Chem. Phys. 133, 164101 (2010). | 
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 * [5]  Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011). | 
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 */ | 
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  | 
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/** | 
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 * @file DynamicVector.hpp | 
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 * @author Teng Lin | 
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 * @date 09/14/2004 | 
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 * @version 1.0 | 
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 */ | 
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#ifndef MATH_DYNAMICVECTOR_HPP | 
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#define MATH_DYNAMICVECTOR_HPP | 
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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 <algorithm> | 
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#include <vector> | 
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 | 
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namespace OpenMD { | 
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     | 
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  /** | 
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   * @class DynamicVector DynamicVector.hpp "math/DynamicVector.hpp" | 
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   * @brief Fix length vector class | 
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   */ | 
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  template<typename Real, typename Alloc = std::allocator<Real> > | 
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  class DynamicVector : public std::vector<Real, Alloc> { | 
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   | 
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  public: | 
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      typedef Real value_type; | 
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      typedef std::vector<Real, Alloc> VectorType; | 
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      typedef typename VectorType::pointer pointer; | 
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      typedef typename VectorType::const_pointer const_pointer; | 
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      typedef typename VectorType::reference reference; | 
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      typedef typename VectorType::const_reference const_reference; | 
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      typedef typename VectorType::iterator iterator; | 
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      typedef typename VectorType::const_iterator const_iterator; | 
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      typedef typename VectorType::const_reverse_iterator  const_reverse_iterator; | 
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      typedef typename VectorType::reverse_iterator reverse_iterator; | 
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      typedef typename VectorType::size_type size_type; | 
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      typedef typename VectorType::difference_type difference_type; | 
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      typedef typename VectorType::allocator_type allocator_type; | 
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 | 
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 | 
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      // [23.2.4.1] construct/copy/destroy | 
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      // (assign() and get_allocator() are also listed in this section) | 
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      /** | 
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       *  @brief  Default constructor creates no elements. | 
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       */      explicit | 
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      DynamicVector(const allocator_type& alloc = allocator_type()) | 
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      : std::vector<Real, Alloc>(alloc) { } | 
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   | 
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      /** | 
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       *  @brief  Create a %DynamicVector with copies of an exemplar element. | 
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       *  @param  n  The number of elements to initially create. | 
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       *  @param  value  An element to copy. | 
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       *  @param  alloc  The allocator_type to use | 
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       * | 
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       *  This constructor fills the %DynamicVector with @a n copies of @a value. | 
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       */ | 
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      DynamicVector(size_type n, const value_type& value, | 
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             const allocator_type& alloc = allocator_type()) | 
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      : std::vector<Real, Alloc>(n, value, alloc){ } | 
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 | 
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      /** | 
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       *  @brief  Create a %DynamicVector with default elements. | 
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       *  @param  n  The number of elements to initially create. | 
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       * | 
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       *  This constructor fills the %DynamicVector with @a n copies of a | 
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       *  default-constructed element. | 
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       */ | 
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      explicit | 
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      DynamicVector(size_type n) : std::vector<Real, Alloc>(n) { } | 
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 | 
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      /** | 
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       *  @brief  %Vector copy constructor. | 
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       *  @param  x  A %DynamicVector of identical element and allocator types. | 
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       * | 
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       *  The newly-created %DynamicVector uses a copy of the allocation | 
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       *  object used by @a x.  All the elements of @a x are copied, | 
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       *  but any extra memory in | 
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       *  @a x (for fast expansion) will not be copied. | 
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       */ | 
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      DynamicVector(const DynamicVector& x) | 
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      : std::vector<Real, Alloc>(x) {} | 
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      template<typename _InputIterator> | 
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        DynamicVector(_InputIterator first, _InputIterator last, | 
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               const allocator_type& alloc = allocator_type()) | 
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        : std::vector<Real, Alloc>(first, last, alloc) {} | 
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        | 
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    inline Real operator()(unsigned int i) const{ | 
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      return (*this)[i]; | 
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    } | 
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     | 
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    inline Real& operator()(unsigned int i){ | 
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      return (*this)[i]; | 
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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 DynamicVector<Real>& v) { | 
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      for (unsigned int i = 0; i < this->size(); i ++) { | 
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        if (!equal((*this)[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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 | 
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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 DynamicVector<Real>& 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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      for (unsigned int i = 0; i < this->size(); i++) | 
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        (*this)[i] = -(*this)[i]; | 
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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 DynamicVector<Real>& v1) { | 
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      for (unsigned int i = 0; i < this->size(); i++) | 
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        (*this)[i] = -v1[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 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 DynamicVector<Real>& v1 ) { | 
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      std::transform(this->begin(), this->end(), v1.begin(),this->begin(),std::plus<Real>()); | 
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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 DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) { | 
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      std::transform(v1.begin(), v1.end(), v2.begin(),this->begin(),std::plus<Real>()); | 
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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 DynamicVector<Real>& v1 ) { | 
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        std::transform(this->begin(), this->end(), v1.begin(),this->begin(),std::minus<Real>()); | 
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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 DynamicVector<Real>& v1, const DynamicVector  &v2 ){ | 
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      std::transform(v1.begin(), v1.end(), v2.begin(),this->begin(),std::minus<Real>());     | 
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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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     */ | 
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    inline void mul( Real s ) { | 
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      for (unsigned int i = 0; i < this->size(); i++) | 
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        (*this)[i] *= s; | 
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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 v1 the vector             | 
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     * @param s the scalar value | 
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     */ | 
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    inline void mul( const DynamicVector<Real>& v1, Real s) { | 
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      this->resize(v1.size()); | 
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      for (unsigned int i = 0; i < this->size(); i++) | 
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        (*this)[i] = s * v1[i]; | 
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    } | 
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    /** | 
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     * Sets the value of this vector to the scalar division of itself  (*this /= s ). | 
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     * @param s the scalar value | 
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     */              | 
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    inline void div( Real s) { | 
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      for (unsigned int i = 0; i < this->size(); i++)             | 
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        (*this)[i] /= s; | 
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    } | 
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    /** | 
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     * Sets the value of this vector to the scalar division of vector v1  (*this = v1 / s ). | 
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     * @param v1 the source vector | 
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     * @param s the scalar value | 
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     */                          | 
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    inline void div( const DynamicVector<Real>& v1, Real s ) { | 
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      for (unsigned int i = 0; i < this->size(); i++) | 
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        (*this)[i] = v1[i] / s; | 
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    } | 
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    /** @see #add */ | 
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    inline DynamicVector<Real>& operator +=( const DynamicVector<Real>& v1 ) { | 
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      add(v1); | 
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      return *this; | 
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    } | 
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    /** @see #sub */ | 
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    inline DynamicVector<Real>& operator -=( const DynamicVector<Real>& v1 ) { | 
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      sub(v1); | 
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      return *this; | 
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    } | 
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    /** @see #mul */ | 
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    inline DynamicVector<Real>& operator *=( Real s) { | 
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      mul(s); | 
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      return *this; | 
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    } | 
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 | 
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    /** @see #div */ | 
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    inline DynamicVector<Real>& operator /=( Real s ) { | 
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      div(s); | 
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      return *this; | 
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    } | 
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    /** zero out the vector */ | 
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    inline void setZero( ) { | 
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      for (unsigned int i = 0; i < this->size(); i++) | 
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        (*this)[i] = 0; | 
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    } | 
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    /** | 
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     * Returns the length of this vector. | 
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     * @return the length of this vector | 
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     */ | 
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    inline Real length() { | 
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      return sqrt(lengthSquare());   | 
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    } | 
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             | 
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    /** | 
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     * Returns the squared length of this vector. | 
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     * @return the squared length of this vector | 
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     */ | 
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    inline Real lengthSquare() { | 
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      return dot(*this, *this); | 
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    } | 
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             | 
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    /** Normalizes this vector in place */ | 
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    inline void normalize() { | 
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      Real len; | 
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 | 
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      len = length(); | 
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                 | 
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      //if (len < OpenMD::NumericConstant::epsilon) | 
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      //  throw(); | 
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                 | 
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      *this /= len; | 
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    } | 
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    /** | 
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     * Tests if this vector is normalized | 
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     * @return true if this vector is normalized, otherwise return false | 
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     */ | 
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    inline bool isNormalized() { | 
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      return equal(lengthSquare(), 1.0); | 
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    }            | 
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    template<class VectorType> | 
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    void getSubVector(unsigned int beginning, VectorType& v) { | 
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        assert(beginning + v.size() -1 <= this->size()); | 
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        for (unsigned int i = 0; i < v.size(); ++i) | 
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             v(i) = (*this)[beginning+i]; | 
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    } | 
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  }; | 
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 | 
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  /** unary minus*/ | 
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  template<typename Real>     | 
| 333 | 
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  | 
  inline DynamicVector<Real> operator -(const DynamicVector<Real>& v1){ | 
| 334 | 
  | 
  | 
    DynamicVector<Real> tmp(v1); | 
| 335 | 
  | 
  | 
    tmp.negate(); | 
| 336 | 
  | 
  | 
    return tmp; | 
| 337 | 
  | 
  | 
  } | 
| 338 | 
  | 
  | 
 | 
| 339 | 
  | 
  | 
  /** | 
| 340 | 
  | 
  | 
   * Return the sum of two vectors  (v1 - v2).  | 
| 341 | 
  | 
  | 
   * @return the sum of two vectors | 
| 342 | 
  | 
  | 
   * @param v1 the first vector | 
| 343 | 
  | 
  | 
   * @param v2 the second vector | 
| 344 | 
  | 
  | 
   */    | 
| 345 | 
  | 
  | 
  template<typename Real>     | 
| 346 | 
  | 
  | 
  inline DynamicVector<Real> operator +(const DynamicVector<Real>& v1, const DynamicVector<Real>& v2) { | 
| 347 | 
gezelter | 
1744 | 
    assert(v1.size() == v2.size()); | 
| 348 | 
  | 
  | 
    DynamicVector<Real>result(v1.size()); | 
| 349 | 
tim | 
891 | 
    result.add(v1, v2); | 
| 350 | 
  | 
  | 
    return result;         | 
| 351 | 
  | 
  | 
  } | 
| 352 | 
  | 
  | 
 | 
| 353 | 
  | 
  | 
  /** | 
| 354 | 
  | 
  | 
   * Return the difference of two vectors  (v1 - v2).  | 
| 355 | 
  | 
  | 
   * @return the difference of two vectors | 
| 356 | 
  | 
  | 
   * @param v1 the first vector | 
| 357 | 
  | 
  | 
   * @param v2 the second vector | 
| 358 | 
  | 
  | 
   */   | 
| 359 | 
  | 
  | 
  template<typename Real>     | 
| 360 | 
  | 
  | 
  DynamicVector<Real> operator -(const DynamicVector<Real>& v1, const DynamicVector<Real>& v2) { | 
| 361 | 
gezelter | 
1744 | 
    assert(v1.size() == v2.size()); | 
| 362 | 
  | 
  | 
    DynamicVector<Real> result(v1.size()); | 
| 363 | 
tim | 
891 | 
    result.sub(v1, v2); | 
| 364 | 
  | 
  | 
    return result;         | 
| 365 | 
  | 
  | 
  } | 
| 366 | 
  | 
  | 
     | 
| 367 | 
  | 
  | 
  /** | 
| 368 | 
  | 
  | 
   * Returns the vaule of scalar multiplication of this vector v1 (v1 * r).  | 
| 369 | 
  | 
  | 
   * @return  the vaule of scalar multiplication of this vector | 
| 370 | 
  | 
  | 
   * @param v1 the source vector | 
| 371 | 
  | 
  | 
   * @param s the scalar value | 
| 372 | 
  | 
  | 
   */  | 
| 373 | 
  | 
  | 
  template<typename Real>                  | 
| 374 | 
gezelter | 
1744 | 
  DynamicVector<Real> operator *( const DynamicVector<Real>& v1, Real s) {       | 
| 375 | 
  | 
  | 
    DynamicVector<Real> result(v1.size()); | 
| 376 | 
tim | 
891 | 
    result.mul(v1,s); | 
| 377 | 
  | 
  | 
    return result;            | 
| 378 | 
  | 
  | 
  } | 
| 379 | 
  | 
  | 
     | 
| 380 | 
  | 
  | 
  /** | 
| 381 | 
  | 
  | 
   * Returns the vaule of scalar multiplication of this vector v1 (v1 * r).  | 
| 382 | 
  | 
  | 
   * @return  the vaule of scalar multiplication of this vector | 
| 383 | 
  | 
  | 
   * @param s the scalar value | 
| 384 | 
  | 
  | 
   * @param v1 the source vector | 
| 385 | 
  | 
  | 
   */   | 
| 386 | 
  | 
  | 
  template<typename Real> | 
| 387 | 
gezelter | 
1744 | 
  DynamicVector<Real> operator *( Real s, const DynamicVector<Real>& v1 ) { | 
| 388 | 
  | 
  | 
    DynamicVector<Real> result(v1.size()); | 
| 389 | 
tim | 
891 | 
    result.mul(v1, s); | 
| 390 | 
  | 
  | 
    return result;            | 
| 391 | 
  | 
  | 
  } | 
| 392 | 
  | 
  | 
 | 
| 393 | 
  | 
  | 
  /** | 
| 394 | 
  | 
  | 
   * Returns the  value of division of a vector by a scalar.  | 
| 395 | 
  | 
  | 
   * @return  the vaule of scalar division of this vector | 
| 396 | 
  | 
  | 
   * @param v1 the source vector | 
| 397 | 
  | 
  | 
   * @param s the scalar value | 
| 398 | 
  | 
  | 
   */ | 
| 399 | 
  | 
  | 
  template<typename Real>     | 
| 400 | 
gezelter | 
1744 | 
  DynamicVector<Real> operator / ( const DynamicVector<Real>& v1, Real s) {      | 
| 401 | 
  | 
  | 
    DynamicVector<Real> result(v1.size()); | 
| 402 | 
tim | 
891 | 
    result.div( v1,s); | 
| 403 | 
  | 
  | 
    return result;            | 
| 404 | 
  | 
  | 
  } | 
| 405 | 
  | 
  | 
     | 
| 406 | 
  | 
  | 
  /** | 
| 407 | 
  | 
  | 
   * Returns the dot product of two DynamicVectors | 
| 408 | 
  | 
  | 
   * @param v1 first vector | 
| 409 | 
  | 
  | 
   * @param v2 second vector | 
| 410 | 
  | 
  | 
   * @return the dot product of v1 and v2 | 
| 411 | 
  | 
  | 
   */ | 
| 412 | 
  | 
  | 
  template<typename Real>     | 
| 413 | 
  | 
  | 
  inline Real dot( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) { | 
| 414 | 
  | 
  | 
    Real tmp; | 
| 415 | 
  | 
  | 
    tmp = 0; | 
| 416 | 
  | 
  | 
    assert(v1.size() == v2.size()); | 
| 417 | 
  | 
  | 
    for (unsigned int i = 0; i < v1.size(); i++) | 
| 418 | 
  | 
  | 
      tmp += v1[i] * v2[i]; | 
| 419 | 
  | 
  | 
 | 
| 420 | 
  | 
  | 
    return tmp; | 
| 421 | 
  | 
  | 
  } | 
| 422 | 
  | 
  | 
 | 
| 423 | 
  | 
  | 
  /** | 
| 424 | 
  | 
  | 
   * Returns the distance between  two DynamicVectors | 
| 425 | 
  | 
  | 
   * @param v1 first vector | 
| 426 | 
  | 
  | 
   * @param v2 second vector | 
| 427 | 
  | 
  | 
   * @return the distance between v1 and v2 | 
| 428 | 
  | 
  | 
   */    | 
| 429 | 
  | 
  | 
  template<typename Real>     | 
| 430 | 
  | 
  | 
  inline Real distance( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) { | 
| 431 | 
  | 
  | 
    DynamicVector<Real> tempDynamicVector = v1 - v2; | 
| 432 | 
  | 
  | 
    return tempDynamicVector.length(); | 
| 433 | 
  | 
  | 
  } | 
| 434 | 
  | 
  | 
 | 
| 435 | 
  | 
  | 
  /** | 
| 436 | 
  | 
  | 
   * Returns the squared distance between  two DynamicVectors | 
| 437 | 
  | 
  | 
   * @param v1 first vector | 
| 438 | 
  | 
  | 
   * @param v2 second vector | 
| 439 | 
  | 
  | 
   * @return the squared distance between v1 and v2 | 
| 440 | 
  | 
  | 
   */ | 
| 441 | 
  | 
  | 
  template<typename Real> | 
| 442 | 
  | 
  | 
  inline Real distanceSquare( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) { | 
| 443 | 
  | 
  | 
    DynamicVector<Real> tempDynamicVector = v1 - v2; | 
| 444 | 
  | 
  | 
    return tempDynamicVector.lengthSquare(); | 
| 445 | 
  | 
  | 
  } | 
| 446 | 
  | 
  | 
 | 
| 447 | 
  | 
  | 
  /** | 
| 448 | 
  | 
  | 
   * Write to an output stream | 
| 449 | 
  | 
  | 
   */ | 
| 450 | 
  | 
  | 
  template<typename Real> | 
| 451 | 
  | 
  | 
  std::ostream &operator<< ( std::ostream& o, const DynamicVector<Real>& v) { | 
| 452 | 
  | 
  | 
 | 
| 453 | 
  | 
  | 
    o << "[ "; | 
| 454 | 
  | 
  | 
         | 
| 455 | 
  | 
  | 
    for (unsigned int i = 0 ; i< v.size(); i++) { | 
| 456 | 
  | 
  | 
      o << v[i]; | 
| 457 | 
  | 
  | 
 | 
| 458 | 
  | 
  | 
      if (i  != v.size() -1) { | 
| 459 | 
  | 
  | 
        o<< ", "; | 
| 460 | 
  | 
  | 
      } | 
| 461 | 
  | 
  | 
    } | 
| 462 | 
  | 
  | 
 | 
| 463 | 
  | 
  | 
    o << " ]"; | 
| 464 | 
  | 
  | 
    return o;         | 
| 465 | 
  | 
  | 
  } | 
| 466 | 
  | 
  | 
     | 
| 467 | 
  | 
  | 
} | 
| 468 | 
  | 
  | 
#endif | 
| 469 | 
  | 
  | 
 |