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
Original Path:	*trunk/src/math/DynamicVector.hpp*
File size:	14526 byte(s)
Log Message:	Almost all of the changes necessary to create OpenMD out of our old project (OOPSE-4)
#	User	Rev	Content
1	tim	891	/*
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	gezelter	1390	* 1. Redistributions of source code must retain the above copyright
10	tim	891	* notice, this list of conditions and the following disclaimer.
11			*
12	gezelter	1390	* 2. Redistributions in binary form must reproduce the above copyright
13	tim	891	* 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	gezelter	1390	*
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	tim	891	*/
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	gezelter	1390	namespace OpenMD {
60	tim	891
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	cli2	1349
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	tim	891	/**
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	gezelter	1390	//if (len < OpenMD::NumericConstant::epsilon)
298	tim	891	// 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	cli2	1349
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	tim	891
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