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]  Kuang & Gezelter,  J. Chem. Phys. 133, 164101 (2010).
 * [5]  Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011).
 */
 
/**
 * @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:	1665
Committed:	Tue Nov 22 20:38:56 2011 UTC (13 years, 5 months ago) by gezelter
File size:	14592 byte(s)
Log Message:	updated copyright notices
#	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	gezelter	1665	* [4] Kuang & Gezelter, J. Chem. Phys. 133, 164101 (2010).
40			* [5] Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011).
41	tim	891	*/
42
43			/**
44			* @file DynamicVector.hpp
45			* @author Teng Lin
46			* @date 09/14/2004
47			* @version 1.0
48			*/
49
50			#ifndef MATH_DYNAMICVECTOR_HPP
51			#define MATH_DYNAMICVECTOR_HPP
52
53			#include <cassert>
54			#include <cmath>
55			#include <iostream>
56			#include <math.h>
57			#include <algorithm>
58			#include <vector>
59
60	gezelter	1390	namespace OpenMD {
61	tim	891
62			/**
63			* @class DynamicVector DynamicVector.hpp "math/DynamicVector.hpp"
64			* @brief Fix length vector class
65			*/
66			template<typename Real, typename Alloc = std::allocator<Real> >
67			class DynamicVector : public std::vector<Real, Alloc> {
68
69			public:
70			typedef Real value_type;
71			typedef std::vector<Real, Alloc> VectorType;
72			typedef typename VectorType::pointer pointer;
73			typedef typename VectorType::const_pointer const_pointer;
74			typedef typename VectorType::reference reference;
75			typedef typename VectorType::const_reference const_reference;
76			typedef typename VectorType::iterator iterator;
77			typedef typename VectorType::const_iterator const_iterator;
78			typedef typename VectorType::const_reverse_iterator const_reverse_iterator;
79			typedef typename VectorType::reverse_iterator reverse_iterator;
80			typedef typename VectorType::size_type size_type;
81			typedef typename VectorType::difference_type difference_type;
82			typedef typename VectorType::allocator_type allocator_type;
83
84
85			// [23.2.4.1] construct/copy/destroy
86			// (assign() and get_allocator() are also listed in this section)
87			/**
88			* @brief Default constructor creates no elements.
89			*/ explicit
90			DynamicVector(const allocator_type& alloc = allocator_type())
91			: std::vector<Real, Alloc>(alloc) { }
92
93			/**
94			* @brief Create a %DynamicVector with copies of an exemplar element.
95			* @param n The number of elements to initially create.
96			* @param value An element to copy.
97			*
98			* This constructor fills the %DynamicVector with @a n copies of @a value.
99			*/
100			DynamicVector(size_type n, const value_type& value,
101			const allocator_type& alloc = allocator_type())
102			: std::vector<Real, Alloc>(n, value, alloc){ }
103
104			/**
105			* @brief Create a %DynamicVector with default elements.
106			* @param n The number of elements to initially create.
107			*
108			* This constructor fills the %DynamicVector with @a n copies of a
109			* default-constructed element.
110			*/
111			explicit
112			DynamicVector(size_type n) : std::vector<Real, Alloc>(n) { }
113
114			/**
115			* @brief %Vector copy constructor.
116			* @param x A %DynamicVector of identical element and allocator types.
117			*
118			* The newly-created %DynamicVector uses a copy of the allocation
119			* object used by @a x. All the elements of @a x are copied,
120			* but any extra memory in
121			* @a x (for fast expansion) will not be copied.
122			*/
123			DynamicVector(const DynamicVector& x)
124			: std::vector<Real, Alloc>(x) {}
125
126			template<typename _InputIterator>
127			DynamicVector(_InputIterator first, _InputIterator last,
128			const allocator_type& alloc = allocator_type())
129			: std::vector<Real, Alloc>(first, last, alloc) {}
130	cli2	1349
131			inline Real operator()(unsigned int i) const{
132			return (*this)[i];
133			}
134
135			inline Real& operator()(unsigned int i){
136			return (*this)[i];
137			}
138	tim	891	/**
139			* Tests if this vetor is equal to other vector
140			* @return true if equal, otherwise return false
141			* @param v vector to be compared
142			*/
143			inline bool operator ==(const DynamicVector<Real>& v) {
144
145			for (unsigned int i = 0; i < this->size(); i ++) {
146			if (!equal((*this)[i], v[i])) {
147			return false;
148			}
149			}
150
151			return true;
152			}
153
154			/**
155			* Tests if this vetor is not equal to other vector
156			* @return true if equal, otherwise return false
157			* @param v vector to be compared
158			*/
159			inline bool operator !=(const DynamicVector<Real>& v) {
160			return !(*this == v);
161			}
162
163			/** Negates the value of this vector in place. */
164			inline void negate() {
165			for (unsigned int i = 0; i < this->size(); i++)
166			(this)[i] = -(this)[i];
167			}
168
169			/**
170			* Sets the value of this vector to the negation of vector v1.
171			* @param v1 the source vector
172			*/
173			inline void negate(const DynamicVector<Real>& v1) {
174			for (unsigned int i = 0; i < this->size(); i++)
175			(*this)[i] = -v1[i];
176
177			}
178
179			/**
180			* Sets the value of this vector to the sum of itself and v1 (*this += v1).
181			* @param v1 the other vector
182			*/
183			inline void add( const DynamicVector<Real>& v1 ) {
184			std::transform(this->begin(), this->end(), v1.begin(),this->begin(),std::plus<Real>());
185			}
186
187			/**
188			* Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2).
189			* @param v1 the first vector
190			* @param v2 the second vector
191			*/
192			inline void add( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
193			std::transform(v1.begin(), v1.end(), v2.begin(),this->begin(),std::plus<Real>());
194			}
195
196			/**
197			* Sets the value of this vector to the difference of itself and v1 (*this -= v1).
198			* @param v1 the other vector
199			*/
200			inline void sub( const DynamicVector<Real>& v1 ) {
201			std::transform(this->begin(), this->end(), v1.begin(),this->begin(),std::minus<Real>());
202			}
203
204			/**
205			* Sets the value of this vector to the difference of vector v1 and v2 (*this = v1 - v2).
206			* @param v1 the first vector
207			* @param v2 the second vector
208			*/
209			inline void sub( const DynamicVector<Real>& v1, const DynamicVector &v2 ){
210			std::transform(v1.begin(), v1.end(), v2.begin(),this->begin(),std::minus<Real>());
211			}
212
213			/**
214			* Sets the value of this vector to the scalar multiplication of itself (this = s).
215			* @param s the scalar value
216			*/
217			inline void mul( Real s ) {
218			for (unsigned int i = 0; i < this->size(); i++)
219			(this)[i] = s;
220			}
221
222			/**
223			* Sets the value of this vector to the scalar multiplication of vector v1
224			* (this = s v1).
225			* @param v1 the vector
226			* @param s the scalar value
227			*/
228			inline void mul( const DynamicVector<Real>& v1, Real s) {
229			for (unsigned int i = 0; i < this->size(); i++)
230			(this)[i] = s v1[i];
231			}
232
233			/**
234			* Sets the value of this vector to the scalar division of itself (*this /= s ).
235			* @param s the scalar value
236			*/
237			inline void div( Real s) {
238			for (unsigned int i = 0; i < this->size(); i++)
239			(*this)[i] /= s;
240			}
241
242			/**
243			* Sets the value of this vector to the scalar division of vector v1 (*this = v1 / s ).
244			* @param v1 the source vector
245			* @param s the scalar value
246			*/
247			inline void div( const DynamicVector<Real>& v1, Real s ) {
248			for (unsigned int i = 0; i < this->size(); i++)
249			(*this)[i] = v1[i] / s;
250			}
251
252			/** @see #add */
253			inline DynamicVector<Real>& operator +=( const DynamicVector<Real>& v1 ) {
254			add(v1);
255			return *this;
256			}
257
258			/** @see #sub */
259			inline DynamicVector<Real>& operator -=( const DynamicVector<Real>& v1 ) {
260			sub(v1);
261			return *this;
262			}
263
264			/** @see #mul */
265			inline DynamicVector<Real>& operator *=( Real s) {
266			mul(s);
267			return *this;
268			}
269
270			/** @see #div */
271			inline DynamicVector<Real>& operator /=( Real s ) {
272			div(s);
273			return *this;
274			}
275
276			/**
277			* Returns the length of this vector.
278			* @return the length of this vector
279			*/
280			inline Real length() {
281			return sqrt(lengthSquare());
282			}
283
284			/**
285			* Returns the squared length of this vector.
286			* @return the squared length of this vector
287			*/
288			inline Real lengthSquare() {
289			return dot(this, this);
290			}
291
292			/** Normalizes this vector in place */
293			inline void normalize() {
294			Real len;
295
296			len = length();
297
298	gezelter	1390	//if (len < OpenMD::NumericConstant::epsilon)
299	tim	891	// throw();
300
301			*this /= len;
302			}
303
304			/**
305			* Tests if this vector is normalized
306			* @return true if this vector is normalized, otherwise return false
307			*/
308			inline bool isNormalized() {
309			return equal(lengthSquare(), 1.0);
310			}
311	cli2	1349
312			template<class VectorType>
313			void getSubVector(unsigned int beginning, VectorType& v) {
314			assert(beginning + v.size() -1 <= this->size());
315
316			for (unsigned int i = 0; i < v.size(); ++i)
317			v(i) = (*this)[beginning+i];
318			}
319
320	tim	891
321			};
322
323			/** unary minus*/
324			template<typename Real>
325			inline DynamicVector<Real> operator -(const DynamicVector<Real>& v1){
326			DynamicVector<Real> tmp(v1);
327			tmp.negate();
328			return tmp;
329			}
330
331			/**
332			* Return the sum of two vectors (v1 - v2).
333			* @return the sum of two vectors
334			* @param v1 the first vector
335			* @param v2 the second vector
336			*/
337			template<typename Real>
338			inline DynamicVector<Real> operator +(const DynamicVector<Real>& v1, const DynamicVector<Real>& v2) {
339			DynamicVector<Real> result;
340
341			result.add(v1, v2);
342			return result;
343			}
344
345			/**
346			* Return the difference of two vectors (v1 - v2).
347			* @return the difference of two vectors
348			* @param v1 the first vector
349			* @param v2 the second vector
350			*/
351			template<typename Real>
352			DynamicVector<Real> operator -(const DynamicVector<Real>& v1, const DynamicVector<Real>& v2) {
353			DynamicVector<Real> result;
354			result.sub(v1, v2);
355			return result;
356			}
357
358			/**
359			* Returns the vaule of scalar multiplication of this vector v1 (v1 * r).
360			* @return the vaule of scalar multiplication of this vector
361			* @param v1 the source vector
362			* @param s the scalar value
363			*/
364			template<typename Real>
365			DynamicVector<Real> operator * ( const DynamicVector<Real>& v1, Real s) {
366			DynamicVector<Real> result;
367			result.mul(v1,s);
368			return result;
369			}
370
371			/**
372			* Returns the vaule of scalar multiplication of this vector v1 (v1 * r).
373			* @return the vaule of scalar multiplication of this vector
374			* @param s the scalar value
375			* @param v1 the source vector
376			*/
377			template<typename Real>
378			DynamicVector<Real> operator * ( Real s, const DynamicVector<Real>& v1 ) {
379			DynamicVector<Real> result;
380			result.mul(v1, s);
381			return result;
382			}
383
384			/**
385			* Returns the value of division of a vector by a scalar.
386			* @return the vaule of scalar division of this vector
387			* @param v1 the source vector
388			* @param s the scalar value
389			*/
390			template<typename Real>
391			DynamicVector<Real> operator / ( const DynamicVector<Real>& v1, Real s) {
392			DynamicVector<Real> result;
393			result.div( v1,s);
394			return result;
395			}
396
397			/**
398			* Returns the dot product of two DynamicVectors
399			* @param v1 first vector
400			* @param v2 second vector
401			* @return the dot product of v1 and v2
402			*/
403			template<typename Real>
404			inline Real dot( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
405			Real tmp;
406			tmp = 0;
407			assert(v1.size() == v2.size());
408			for (unsigned int i = 0; i < v1.size(); i++)
409			tmp += v1[i] * v2[i];
410
411			return tmp;
412			}
413
414			/**
415			* Returns the distance between two DynamicVectors
416			* @param v1 first vector
417			* @param v2 second vector
418			* @return the distance between v1 and v2
419			*/
420			template<typename Real>
421			inline Real distance( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
422			DynamicVector<Real> tempDynamicVector = v1 - v2;
423			return tempDynamicVector.length();
424			}
425
426			/**
427			* Returns the squared distance between two DynamicVectors
428			* @param v1 first vector
429			* @param v2 second vector
430			* @return the squared distance between v1 and v2
431			*/
432			template<typename Real>
433			inline Real distanceSquare( const DynamicVector<Real>& v1, const DynamicVector<Real>& v2 ) {
434			DynamicVector<Real> tempDynamicVector = v1 - v2;
435			return tempDynamicVector.lengthSquare();
436			}
437
438			/**
439			* Write to an output stream
440			*/
441			template<typename Real>
442			std::ostream &operator<< ( std::ostream& o, const DynamicVector<Real>& v) {
443
444			o << "[ ";
445
446			for (unsigned int i = 0 ; i< v.size(); i++) {
447			o << v[i];
448
449			if (i != v.size() -1) {
450			o<< ", ";
451			}
452			}
453
454			o << " ]";
455			return o;
456			}
457
458			}
459			#endif
460