src/math/DynamicVector.hpp

/*
 * Copyright (c) 2005 The University of Notre Dame. All Rights Reserved.
 *
 * The University of Notre Dame grants you ("Licensee") a
 * non-exclusive, royalty free, license to use, modify and
 * redistribute this software in source and binary code form, provided
 * that the following conditions are met:
 *
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the
 *    distribution.
 *
 * This software is provided "AS IS," without a warranty of any
 * kind. All express or implied conditions, representations and
 * warranties, including any implied warranty of merchantability,
 * fitness for a particular purpose or non-infringement, are hereby
 * excluded.  The University of Notre Dame and its licensors shall not
 * be liable for any damages suffered by licensee as a result of
 * using, modifying or distributing the software or its
 * derivatives. In no event will the University of Notre Dame or its
 * licensors be liable for any lost revenue, profit or data, or for
 * direct, indirect, special, consequential, incidental or punitive
 * damages, however caused and regardless of the theory of liability,
 * arising out of the use of or inability to use software, even if the
 * University of Notre Dame has been advised of the possibility of
 * such damages.
 *
 * SUPPORT OPEN SCIENCE!  If you use OpenMD or its source code in your
 * research, please cite the appropriate papers when you publish your
 * work.  Good starting points are:
 *                                                                      
 * [1]  Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).             
 * [2]  Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).          
 * [3]  Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).          
 * [4]  Vardeman & Gezelter, in progress (2009).                        
 */
 
/**
 * @file DynamicVector.hpp
 * @author Teng Lin
 * @date 09/14/2004
 * @version 1.0
 */
 
#ifndef MATH_DYNAMICVECTOR_HPP
#define MATH_DYNAMICVECTOR_HPP

#include <cassert>
#include <cmath>
#include <iostream>
#include <math.h>
#include <algorithm>
#include <vector>

namespace OpenMD {
    
  /**
   * @class DynamicVector DynamicVector.hpp "math/DynamicVector.hpp"
   * @brief Fix length vector class
   */
  template<typename Real, typename Alloc = std::allocator<Real> >
  class DynamicVector : public std::vector<Real, Alloc> {
  
  public:
      typedef Real value_type;
      typedef std::vector<Real, Alloc> VectorType;
      typedef typename VectorType::pointer pointer;
      typedef typename VectorType::const_pointer const_pointer;
      typedef typename VectorType::reference reference;
      typedef typename VectorType::const_reference const_reference;
      typedef typename VectorType::iterator iterator;
      typedef typename VectorType::const_iterator const_iterator;
      typedef typename VectorType::const_reverse_iterator  const_reverse_iterator;
      typedef typename VectorType::reverse_iterator reverse_iterator;
      typedef typename VectorType::size_type size_type;
      typedef typename VectorType::difference_type difference_type;
      typedef typename VectorType::allocator_type allocator_type;


      // [23.2.4.1] construct/copy/destroy
      // (assign() and get_allocator() are also listed in this section)
      /**
       *  @brief  Default constructor creates no elements.
       */      explicit
      DynamicVector(const allocator_type& alloc = allocator_type())
      : std::vector<Real, Alloc>(alloc) { }
  
      /**
       *  @brief  Create a %DynamicVector with copies of an exemplar element.
       *  @param  n  The number of elements to initially create.
       *  @param  value  An element to copy.
       *
       *  This constructor fills the %DynamicVector with @a n copies of @a value.
       */
      DynamicVector(size_type n, const value_type& value,
             const allocator_type& alloc = allocator_type())
      : std::vector<Real, Alloc>(n, value, alloc){ }

      /**
       *  @brief  Create a %DynamicVector with default elements.
       *  @param  n  The number of elements to initially create.
       *
       *  This constructor fills the %DynamicVector with @a n copies of a
       *  default-constructed element.
       */
      explicit
      DynamicVector(size_type n) : std::vector<Real, Alloc>(n) { }

      /**
       *  @brief  %Vector copy constructor.
       *  @param  x  A %DynamicVector of identical element and allocator types.
       *
       *  The newly-created %DynamicVector uses a copy of the allocation
       *  object used by @a x.  All the elements of @a x are copied,
       *  but any extra memory in
       *  @a x (for fast expansion) will not be copied.
       */
      DynamicVector(const DynamicVector& x)
      : std::vector<Real, Alloc>(x) {}

      template<typename _InputIterator>
        DynamicVector(_InputIterator first, _InputIterator last,
               const allocator_type& alloc = allocator_type())
        : std::vector<Real, Alloc>(first, last, alloc) {}
       
    inline Real operator()(unsigned int i) const{
      return (*this)[i];
    }
    
    inline Real& operator()(unsigned int i){
      return (*this)[i];
    }     
    /**
     * Tests if this vetor is equal to other vector
     * @return true if equal, otherwise return false
     * @param v vector to be compared
     */
    inline bool operator ==(const DynamicVector<Real>& v) {

      for (unsigned int i = 0; i < this->size(); i ++) {
        if (!equal((*this)[i], v[i])) {
          return false;
        }
      }
                
      return true;
    }

    /**
     * Tests if this vetor is not equal to other vector
     * @return true if equal, otherwise return false
     * @param v vector to be compared
     */
    inline bool operator !=(const DynamicVector<Real>& v) {
      return !(*this == v);
    }
             
    /** Negates the value of this vector in place. */           
    inline void negate() {
      for (unsigned int i = 0; i < this->size(); i++)
        (*this)[i] = -(*this)[i];
    }

    /**
     * Sets the value of this vector to the negation of vector v1.
     * @param v1 the source vector
     */
    inline void negate(const DynamicVector<Real>& v1) {
      for (unsigned int i = 0; i < this->size(); i++)
        (*this)[i] = -v1[i];

    }
            
    /**
     * Sets the value of this vector to the sum of itself and v1 (*this += v1).
     * @param v1 the other vector
     */
    inline void add( const DynamicVector<Real>& v1 ) {
      std::transform(this->begin(), this->end(), v1.begin(),this->begin(),std::plus<Real>());
    }

    /**
     * Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2).
     * @param v1 the first vector
     * @param v2 the second vector
     */
    inline void add( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
      std::transform(v1.begin(), v1.end(), v2.begin(),this->begin(),std::plus<Real>());
    }

    /**
     * Sets the value of this vector to the difference  of itself and v1 (*this -= v1).
     * @param v1 the other vector
     */
    inline void sub( const DynamicVector<Real>& v1 ) {
        std::transform(this->begin(), this->end(), v1.begin(),this->begin(),std::minus<Real>());
    }

    /**
     * Sets the value of this vector to the difference of vector v1 and v2 (*this = v1 - v2).
     * @param v1 the first vector
     * @param v2 the second vector
     */
    inline void sub( const DynamicVector<Real>& v1, const DynamicVector  &v2 ){
      std::transform(v1.begin(), v1.end(), v2.begin(),this->begin(),std::minus<Real>());    
    }

    /**
     * Sets the value of this vector to the scalar multiplication of itself (*this *= s).
     * @param s the scalar value
     */
    inline void mul( Real s ) {
      for (unsigned int i = 0; i < this->size(); i++)
        (*this)[i] *= s;
    }

    /**
     * Sets the value of this vector to the scalar multiplication of vector v1  
     * (*this = s * v1).
     * @param v1 the vector            
     * @param s the scalar value
     */
    inline void mul( const DynamicVector<Real>& v1, Real s) {
      for (unsigned int i = 0; i < this->size(); i++)
        (*this)[i] = s * v1[i];
    }

    /**
     * Sets the value of this vector to the scalar division of itself  (*this /= s ).
     * @param s the scalar value
     */             
    inline void div( Real s) {
      for (unsigned int i = 0; i < this->size(); i++)            
        (*this)[i] /= s;
    }

    /**
     * Sets the value of this vector to the scalar division of vector v1  (*this = v1 / s ).
     * @param v1 the source vector
     * @param s the scalar value
     */                         
    inline void div( const DynamicVector<Real>& v1, Real s ) {
      for (unsigned int i = 0; i < this->size(); i++)
        (*this)[i] = v1[i] / s;
    }

    /** @see #add */
    inline DynamicVector<Real>& operator +=( const DynamicVector<Real>& v1 ) {
      add(v1);
      return *this;
    }

    /** @see #sub */
    inline DynamicVector<Real>& operator -=( const DynamicVector<Real>& v1 ) {
      sub(v1);
      return *this;
    }

    /** @see #mul */
    inline DynamicVector<Real>& operator *=( Real s) {
      mul(s);
      return *this;
    }

    /** @see #div */
    inline DynamicVector<Real>& operator /=( Real s ) {
      div(s);
      return *this;
    }

    /**
     * Returns the length of this vector.
     * @return the length of this vector
     */
    inline Real length() {
      return sqrt(lengthSquare());  
    }
            
    /**
     * Returns the squared length of this vector.
     * @return the squared length of this vector
     */
    inline Real lengthSquare() {
      return dot(*this, *this);
    }
            
    /** Normalizes this vector in place */
    inline void normalize() {
      Real len;

      len = length();
                
      //if (len < OpenMD::NumericConstant::epsilon)
      //  throw();
                
      *this /= len;
    }

    /**
     * Tests if this vector is normalized
     * @return true if this vector is normalized, otherwise return false
     */
    inline bool isNormalized() {
      return equal(lengthSquare(), 1.0);
    }           

    template<class VectorType>
    void getSubVector(unsigned int beginning, VectorType& v) {
        assert(beginning + v.size() -1 <= this->size());

        for (unsigned int i = 0; i < v.size(); ++i)
             v(i) = (*this)[beginning+i];
    }

    
  };

  /** unary minus*/
  template<typename Real>    
  inline DynamicVector<Real> operator -(const DynamicVector<Real>& v1){
    DynamicVector<Real> tmp(v1);
    tmp.negate();
    return tmp;
  }

  /**
   * Return the sum of two vectors  (v1 - v2). 
   * @return the sum of two vectors
   * @param v1 the first vector
   * @param v2 the second vector
   */   
  template<typename Real>    
  inline DynamicVector<Real> operator +(const DynamicVector<Real>& v1, const DynamicVector<Real>& v2) {
    DynamicVector<Real> result;
        
    result.add(v1, v2);
    return result;        
  }

  /**
   * Return the difference of two vectors  (v1 - v2). 
   * @return the difference of two vectors
   * @param v1 the first vector
   * @param v2 the second vector
   */  
  template<typename Real>    
  DynamicVector<Real> operator -(const DynamicVector<Real>& v1, const DynamicVector<Real>& v2) {
    DynamicVector<Real> result;
    result.sub(v1, v2);
    return result;        
  }
    
  /**
   * Returns the vaule of scalar multiplication of this vector v1 (v1 * r). 
   * @return  the vaule of scalar multiplication of this vector
   * @param v1 the source vector
   * @param s the scalar value
   */ 
  template<typename Real>                 
  DynamicVector<Real> operator * ( const DynamicVector<Real>& v1, Real s) {       
    DynamicVector<Real> result;
    result.mul(v1,s);
    return result;           
  }
    
  /**
   * Returns the vaule of scalar multiplication of this vector v1 (v1 * r). 
   * @return  the vaule of scalar multiplication of this vector
   * @param s the scalar value
   * @param v1 the source vector
   */  
  template<typename Real>
  DynamicVector<Real> operator * ( Real s, const DynamicVector<Real>& v1 ) {
    DynamicVector<Real> result;
    result.mul(v1, s);
    return result;           
  }

  /**
   * Returns the  value of division of a vector by a scalar. 
   * @return  the vaule of scalar division of this vector
   * @param v1 the source vector
   * @param s the scalar value
   */
  template<typename Real>    
  DynamicVector<Real> operator / ( const DynamicVector<Real>& v1, Real s) {       
    DynamicVector<Real> result;
    result.div( v1,s);
    return result;           
  }
    
  /**
   * Returns the dot product of two DynamicVectors
   * @param v1 first vector
   * @param v2 second vector
   * @return the dot product of v1 and v2
   */
  template<typename Real>    
  inline Real dot( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
    Real tmp;
    tmp = 0;
    assert(v1.size() == v2.size());
    for (unsigned int i = 0; i < v1.size(); i++)
      tmp += v1[i] * v2[i];

    return tmp;
  }

  /**
   * Returns the distance between  two DynamicVectors
   * @param v1 first vector
   * @param v2 second vector
   * @return the distance between v1 and v2
   */   
  template<typename Real>    
  inline Real distance( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
    DynamicVector<Real> tempDynamicVector = v1 - v2;
    return tempDynamicVector.length();
  }

  /**
   * Returns the squared distance between  two DynamicVectors
   * @param v1 first vector
   * @param v2 second vector
   * @return the squared distance between v1 and v2
   */
  template<typename Real>
  inline Real distanceSquare( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
    DynamicVector<Real> tempDynamicVector = v1 - v2;
    return tempDynamicVector.lengthSquare();
  }

  /**
   * Write to an output stream
   */
  template<typename Real>
  std::ostream &operator<< ( std::ostream& o, const DynamicVector<Real>& v) {

    o << "[ ";
        
    for (unsigned int i = 0 ; i< v.size(); i++) {
      o << v[i];

      if (i  != v.size() -1) {
        o<< ", ";
      }
    }

    o << " ]";
    return o;        
  }
    
}
#endif

Revision:	1390
Committed:	Wed Nov 25 20:02:06 2009 UTC (15 years, 5 months ago) by gezelter
File size:	14526 byte(s)
Log Message:	Almost all of the changes necessary to create OpenMD out of our old project (OOPSE-4)
#	Content
1	/*
2	* Copyright (c) 2005 The University of Notre Dame. All Rights Reserved.
3	*
4	* The University of Notre Dame grants you ("Licensee") a
5	* non-exclusive, royalty free, license to use, modify and
6	* redistribute this software in source and binary code form, provided
7	* that the following conditions are met:
8	*
9	* 1. Redistributions of source code must retain the above copyright
10	* notice, this list of conditions and the following disclaimer.
11	*
12	* 2. Redistributions in binary form must reproduce the above copyright
13	* notice, this list of conditions and the following disclaimer in the
14	* documentation and/or other materials provided with the
15	* distribution.
16	*
17	* This software is provided "AS IS," without a warranty of any
18	* kind. All express or implied conditions, representations and
19	* warranties, including any implied warranty of merchantability,
20	* fitness for a particular purpose or non-infringement, are hereby
21	* excluded. The University of Notre Dame and its licensors shall not
22	* be liable for any damages suffered by licensee as a result of
23	* using, modifying or distributing the software or its
24	* derivatives. In no event will the University of Notre Dame or its
25	* licensors be liable for any lost revenue, profit or data, or for
26	* direct, indirect, special, consequential, incidental or punitive
27	* damages, however caused and regardless of the theory of liability,
28	* arising out of the use of or inability to use software, even if the
29	* University of Notre Dame has been advised of the possibility of
30	* such damages.
31	*
32	* SUPPORT OPEN SCIENCE! If you use OpenMD or its source code in your
33	* research, please cite the appropriate papers when you publish your
34	* work. Good starting points are:
35	*
36	* [1] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005).
37	* [2] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006).
38	* [3] Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008).
39	* [4] Vardeman & Gezelter, in progress (2009).
40	*/
41
42	/**
43	* @file DynamicVector.hpp
44	* @author Teng Lin
45	* @date 09/14/2004
46	* @version 1.0
47	*/
48
49	#ifndef MATH_DYNAMICVECTOR_HPP
50	#define MATH_DYNAMICVECTOR_HPP
51
52	#include <cassert>
53	#include <cmath>
54	#include <iostream>
55	#include <math.h>
56	#include <algorithm>
57	#include <vector>
58
59	namespace OpenMD {
60
61	/**
62	* @class DynamicVector DynamicVector.hpp "math/DynamicVector.hpp"
63	* @brief Fix length vector class
64	*/
65	template<typename Real, typename Alloc = std::allocator<Real> >
66	class DynamicVector : public std::vector<Real, Alloc> {
67
68	public:
69	typedef Real value_type;
70	typedef std::vector<Real, Alloc> VectorType;
71	typedef typename VectorType::pointer pointer;
72	typedef typename VectorType::const_pointer const_pointer;
73	typedef typename VectorType::reference reference;
74	typedef typename VectorType::const_reference const_reference;
75	typedef typename VectorType::iterator iterator;
76	typedef typename VectorType::const_iterator const_iterator;
77	typedef typename VectorType::const_reverse_iterator const_reverse_iterator;
78	typedef typename VectorType::reverse_iterator reverse_iterator;
79	typedef typename VectorType::size_type size_type;
80	typedef typename VectorType::difference_type difference_type;
81	typedef typename VectorType::allocator_type allocator_type;
82
83
84	// [23.2.4.1] construct/copy/destroy
85	// (assign() and get_allocator() are also listed in this section)
86	/**
87	* @brief Default constructor creates no elements.
88	*/ explicit
89	DynamicVector(const allocator_type& alloc = allocator_type())
90	: std::vector<Real, Alloc>(alloc) { }
91
92	/**
93	* @brief Create a %DynamicVector with copies of an exemplar element.
94	* @param n The number of elements to initially create.
95	* @param value An element to copy.
96	*
97	* This constructor fills the %DynamicVector with @a n copies of @a value.
98	*/
99	DynamicVector(size_type n, const value_type& value,
100	const allocator_type& alloc = allocator_type())
101	: std::vector<Real, Alloc>(n, value, alloc){ }
102
103	/**
104	* @brief Create a %DynamicVector with default elements.
105	* @param n The number of elements to initially create.
106	*
107	* This constructor fills the %DynamicVector with @a n copies of a
108	* default-constructed element.
109	*/
110	explicit
111	DynamicVector(size_type n) : std::vector<Real, Alloc>(n) { }
112
113	/**
114	* @brief %Vector copy constructor.
115	* @param x A %DynamicVector of identical element and allocator types.
116	*
117	* The newly-created %DynamicVector uses a copy of the allocation
118	* object used by @a x. All the elements of @a x are copied,
119	* but any extra memory in
120	* @a x (for fast expansion) will not be copied.
121	*/
122	DynamicVector(const DynamicVector& x)
123	: std::vector<Real, Alloc>(x) {}
124
125	template<typename _InputIterator>
126	DynamicVector(_InputIterator first, _InputIterator last,
127	const allocator_type& alloc = allocator_type())
128	: std::vector<Real, Alloc>(first, last, alloc) {}
129
130	inline Real operator()(unsigned int i) const{
131	return (*this)[i];
132	}
133
134	inline Real& operator()(unsigned int i){
135	return (*this)[i];
136	}
137	/**
138	* Tests if this vetor is equal to other vector
139	* @return true if equal, otherwise return false
140	* @param v vector to be compared
141	*/
142	inline bool operator ==(const DynamicVector<Real>& v) {
143
144	for (unsigned int i = 0; i < this->size(); i ++) {
145	if (!equal((*this)[i], v[i])) {
146	return false;
147	}
148	}
149
150	return true;
151	}
152
153	/**
154	* Tests if this vetor is not equal to other vector
155	* @return true if equal, otherwise return false
156	* @param v vector to be compared
157	*/
158	inline bool operator !=(const DynamicVector<Real>& v) {
159	return !(*this == v);
160	}
161
162	/** Negates the value of this vector in place. */
163	inline void negate() {
164	for (unsigned int i = 0; i < this->size(); i++)
165	(this)[i] = -(this)[i];
166	}
167
168	/**
169	* Sets the value of this vector to the negation of vector v1.
170	* @param v1 the source vector
171	*/
172	inline void negate(const DynamicVector<Real>& v1) {
173	for (unsigned int i = 0; i < this->size(); i++)
174	(*this)[i] = -v1[i];
175
176	}
177
178	/**
179	* Sets the value of this vector to the sum of itself and v1 (*this += v1).
180	* @param v1 the other vector
181	*/
182	inline void add( const DynamicVector<Real>& v1 ) {
183	std::transform(this->begin(), this->end(), v1.begin(),this->begin(),std::plus<Real>());
184	}
185
186	/**
187	* Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2).
188	* @param v1 the first vector
189	* @param v2 the second vector
190	*/
191	inline void add( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
192	std::transform(v1.begin(), v1.end(), v2.begin(),this->begin(),std::plus<Real>());
193	}
194
195	/**
196	* Sets the value of this vector to the difference of itself and v1 (*this -= v1).
197	* @param v1 the other vector
198	*/
199	inline void sub( const DynamicVector<Real>& v1 ) {
200	std::transform(this->begin(), this->end(), v1.begin(),this->begin(),std::minus<Real>());
201	}
202
203	/**
204	* Sets the value of this vector to the difference of vector v1 and v2 (*this = v1 - v2).
205	* @param v1 the first vector
206	* @param v2 the second vector
207	*/
208	inline void sub( const DynamicVector<Real>& v1, const DynamicVector &v2 ){
209	std::transform(v1.begin(), v1.end(), v2.begin(),this->begin(),std::minus<Real>());
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( Real s ) {
217	for (unsigned int i = 0; i < this->size(); i++)
218	(this)[i] = s;
219	}
220
221	/**
222	* Sets the value of this vector to the scalar multiplication of vector v1
223	* (this = s v1).
224	* @param v1 the vector
225	* @param s the scalar value
226	*/
227	inline void mul( const DynamicVector<Real>& v1, Real s) {
228	for (unsigned int i = 0; i < this->size(); i++)
229	(this)[i] = s v1[i];
230	}
231
232	/**
233	* Sets the value of this vector to the scalar division of itself (*this /= s ).
234	* @param s the scalar value
235	*/
236	inline void div( Real s) {
237	for (unsigned int i = 0; i < this->size(); i++)
238	(*this)[i] /= s;
239	}
240
241	/**
242	* Sets the value of this vector to the scalar division of vector v1 (*this = v1 / s ).
243	* @param v1 the source vector
244	* @param s the scalar value
245	*/
246	inline void div( const DynamicVector<Real>& v1, Real s ) {
247	for (unsigned int i = 0; i < this->size(); i++)
248	(*this)[i] = v1[i] / s;
249	}
250
251	/** @see #add */
252	inline DynamicVector<Real>& operator +=( const DynamicVector<Real>& v1 ) {
253	add(v1);
254	return *this;
255	}
256
257	/** @see #sub */
258	inline DynamicVector<Real>& operator -=( const DynamicVector<Real>& v1 ) {
259	sub(v1);
260	return *this;
261	}
262
263	/** @see #mul */
264	inline DynamicVector<Real>& operator *=( Real s) {
265	mul(s);
266	return *this;
267	}
268
269	/** @see #div */
270	inline DynamicVector<Real>& operator /=( Real s ) {
271	div(s);
272	return *this;
273	}
274
275	/**
276	* Returns the length of this vector.
277	* @return the length of this vector
278	*/
279	inline Real length() {
280	return sqrt(lengthSquare());
281	}
282
283	/**
284	* Returns the squared length of this vector.
285	* @return the squared length of this vector
286	*/
287	inline Real lengthSquare() {
288	return dot(this, this);
289	}
290
291	/** Normalizes this vector in place */
292	inline void normalize() {
293	Real len;
294
295	len = length();
296
297	//if (len < OpenMD::NumericConstant::epsilon)
298	// throw();
299
300	*this /= len;
301	}
302
303	/**
304	* Tests if this vector is normalized
305	* @return true if this vector is normalized, otherwise return false
306	*/
307	inline bool isNormalized() {
308	return equal(lengthSquare(), 1.0);
309	}
310
311	template<class VectorType>
312	void getSubVector(unsigned int beginning, VectorType& v) {
313	assert(beginning + v.size() -1 <= this->size());
314
315	for (unsigned int i = 0; i < v.size(); ++i)
316	v(i) = (*this)[beginning+i];
317	}
318
319
320	};
321
322	/** unary minus*/
323	template<typename Real>
324	inline DynamicVector<Real> operator -(const DynamicVector<Real>& v1){
325	DynamicVector<Real> tmp(v1);
326	tmp.negate();
327	return tmp;
328	}
329
330	/**
331	* Return the sum of two vectors (v1 - v2).
332	* @return the sum of two vectors
333	* @param v1 the first vector
334	* @param v2 the second vector
335	*/
336	template<typename Real>
337	inline DynamicVector<Real> operator +(const DynamicVector<Real>& v1, const DynamicVector<Real>& v2) {
338	DynamicVector<Real> result;
339
340	result.add(v1, v2);
341	return result;
342	}
343
344	/**
345	* Return the difference of two vectors (v1 - v2).
346	* @return the difference of two vectors
347	* @param v1 the first vector
348	* @param v2 the second vector
349	*/
350	template<typename Real>
351	DynamicVector<Real> operator -(const DynamicVector<Real>& v1, const DynamicVector<Real>& v2) {
352	DynamicVector<Real> result;
353	result.sub(v1, v2);
354	return result;
355	}
356
357	/**
358	* Returns the vaule of scalar multiplication of this vector v1 (v1 * r).
359	* @return the vaule of scalar multiplication of this vector
360	* @param v1 the source vector
361	* @param s the scalar value
362	*/
363	template<typename Real>
364	DynamicVector<Real> operator * ( const DynamicVector<Real>& v1, Real s) {
365	DynamicVector<Real> result;
366	result.mul(v1,s);
367	return result;
368	}
369
370	/**
371	* Returns the vaule of scalar multiplication of this vector v1 (v1 * r).
372	* @return the vaule of scalar multiplication of this vector
373	* @param s the scalar value
374	* @param v1 the source vector
375	*/
376	template<typename Real>
377	DynamicVector<Real> operator * ( Real s, const DynamicVector<Real>& v1 ) {
378	DynamicVector<Real> result;
379	result.mul(v1, s);
380	return result;
381	}
382
383	/**
384	* Returns the value of division of a vector by a scalar.
385	* @return the vaule of scalar division of this vector
386	* @param v1 the source vector
387	* @param s the scalar value
388	*/
389	template<typename Real>
390	DynamicVector<Real> operator / ( const DynamicVector<Real>& v1, Real s) {
391	DynamicVector<Real> result;
392	result.div( v1,s);
393	return result;
394	}
395
396	/**
397	* Returns the dot product of two DynamicVectors
398	* @param v1 first vector
399	* @param v2 second vector
400	* @return the dot product of v1 and v2
401	*/
402	template<typename Real>
403	inline Real dot( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
404	Real tmp;
405	tmp = 0;
406	assert(v1.size() == v2.size());
407	for (unsigned int i = 0; i < v1.size(); i++)
408	tmp += v1[i] * v2[i];
409
410	return tmp;
411	}
412
413	/**
414	* Returns the distance between two DynamicVectors
415	* @param v1 first vector
416	* @param v2 second vector
417	* @return the distance between v1 and v2
418	*/
419	template<typename Real>
420	inline Real distance( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
421	DynamicVector<Real> tempDynamicVector = v1 - v2;
422	return tempDynamicVector.length();
423	}
424
425	/**
426	* Returns the squared distance between two DynamicVectors
427	* @param v1 first vector
428	* @param v2 second vector
429	* @return the squared distance between v1 and v2
430	*/
431	template<typename Real>
432	inline Real distanceSquare( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
433	DynamicVector<Real> tempDynamicVector = v1 - v2;
434	return tempDynamicVector.lengthSquare();
435	}
436
437	/**
438	* Write to an output stream
439	*/
440	template<typename Real>
441	std::ostream &operator<< ( std::ostream& o, const DynamicVector<Real>& v) {
442
443	o << "[ ";
444
445	for (unsigned int i = 0 ; i< v.size(); i++) {
446	o << v[i];
447
448	if (i != v.size() -1) {
449	o<< ", ";
450	}
451	}
452
453	o << " ]";
454	return o;
455	}
456
457	}
458	#endif
459