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, 8 months ago) by gezelter
File size:	14592 byte(s)
Log Message:	updated copyright notices
#	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] Kuang & Gezelter, J. Chem. Phys. 133, 164101 (2010).
40	* [5] Vardeman, Stocker & Gezelter, J. Chem. Theory Comput. 7, 834 (2011).
41	*/
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	namespace OpenMD {
61
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
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	/**
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	//if (len < OpenMD::NumericConstant::epsilon)
299	// 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
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
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