src/math/Vector.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. Acknowledgement of the program authors must be made in any
 *    publication of scientific results based in part on use of the
 *    program.  An acceptable form of acknowledgement is citation of
 *    the article in which the program was described (Matthew
 *    A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher
 *    J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented
 *    Parallel Simulation Engine for Molecular Dynamics,"
 *    J. Comput. Chem. 26, pp. 252-271 (2005))
 *
 * 2. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *
 * 3. 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.
 */
 
/**
 * @file Vector.hpp
 * @author Teng Lin
 * @date 09/14/2004
 * @version 1.0
 */
 
#ifndef MATH_VECTOR_HPP
#define MATH_VECTOR_HPP

#include <cassert>
#include <cmath>
#include <iostream>
#include <math.h>
namespace oopse {

  static const double epsilon = 0.000001;

  template<typename T>
  inline bool equal(T e1, T e2) {
    return e1 == e2;
  }

  template<>
  inline bool equal(float e1, float e2) {
    return fabs(e1 - e2) < epsilon;
  }

  template<>
  inline bool equal(double e1, double e2) {
    return fabs(e1 - e2) < epsilon;
  }

    
  /**
   * @class Vector Vector.hpp "math/Vector.hpp"
   * @brief Fix length vector class
   */
  template<typename Real, unsigned int Dim>
  class Vector{
  public:

    typedef Real ElemType;
    typedef Real* ElemPoinerType;

    /** default constructor */
    inline Vector(){
      for (unsigned int i = 0; i < Dim; i++)
        this->data_[i] = 0;
    }

    /** Constructs and initializes a Vector from a vector */
    inline Vector(const Vector<Real, Dim>& v) {
      *this  = v;
    }

    /** copy assignment operator */
    inline Vector<Real, Dim>& operator=(const Vector<Real, Dim>& v) {
      if (this == &v)
        return *this;
                
      for (unsigned int i = 0; i < Dim; i++)            
        this->data_[i] = v[i];
                
      return *this;
    }

    template<typename T>
    inline Vector(const T& s){
      for (unsigned int i = 0; i < Dim; i++)
        this->data_[i] = s;
    }
            
    /** Constructs and initializes a Vector from an array */            
    inline Vector( Real* v) {
      for (unsigned int i = 0; i < Dim; i++)
        this->data_[i] = v[i];
    }

    /** 
     * Returns reference of ith element.
     * @return reference of ith element
     * @param i index
     */
    inline Real& operator[](unsigned int  i) {
      assert( i < Dim);
      return this->data_[i];
    }

    /** 
     * Returns reference of ith element.
     * @return reference of ith element
     * @param i index
     */
    inline Real& operator()(unsigned int  i) {
      assert( i < Dim);
      return this->data_[i];
    }

    /** 
     * Returns constant reference of ith element.
     * @return reference of ith element
     * @param i index
     */
    inline  const Real& operator[](unsigned int i) const {
      assert( i < Dim);
      return this->data_[i];
    }

    /** 
     * Returns constant reference of ith element.
     * @return reference of ith element
     * @param i index
     */
    inline  const Real& operator()(unsigned int i) const {
      assert( i < Dim);
      return this->data_[i];
    }

    /** Copy the internal data to an array*/
    void getArray(Real* array) {
      for (unsigned int i = 0; i < Dim; i ++) {
        array[i] = this->data_[i];
      }                
    }

    /** Returns the pointer of internal array */
    Real* getArrayPointer() {
      return this->data_;
    }
            
    /**
     * 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 Vector<Real, Dim>& v) {

      for (unsigned int i = 0; i < Dim; i ++) {
        if (!equal(this->data_[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 Vector<Real, Dim>& v) {
      return !(*this == v);
    }
             
    /** Negates the value of this vector in place. */           
    inline void negate() {
      for (unsigned int i = 0; i < Dim; i++)
        this->data_[i] = -this->data_[i];
    }

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

    /**
     * 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 Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) {
      for (unsigned int i = 0; i < Dim; i++)
        this->data_[i] = v1.data_[i] + v2.data_[i];
    }

    /**
     * Sets the value of this vector to the difference  of itself and v1 (*this -= v1).
     * @param v1 the other vector
     */
    inline void sub( const Vector<Real, Dim>& v1 ) {
      for (unsigned int i = 0; i < Dim; i++)
        this->data_[i] -= v1.data_[i];
    }

    /**
     * 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 Vector<Real, Dim>& v1, const Vector  &v2 ){
      for (unsigned int i = 0; i < Dim; i++)
        this->data_[i] = v1.data_[i] - v2.data_[i];
    }

    /**
     * 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 < Dim; i++)
        this->data_[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 Vector<Real, Dim>& v1, Real s) {
      for (unsigned int i = 0; i < Dim; i++)
        this->data_[i] = s * v1.data_[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 < Dim; i++)            
        this->data_[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 Vector<Real, Dim>& v1, Real s ) {
      for (unsigned int i = 0; i < Dim; i++)
        this->data_[i] = v1.data_[i] / s;
    }

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

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

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

    /** @see #div */
    inline Vector<Real, Dim>& 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 < oopse: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);
    }           
            
  protected:
    Real data_[Dim];
        
  };

  /** unary minus*/
  template<typename Real, unsigned int Dim>    
  inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){
    Vector<Real, Dim> 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, unsigned int Dim>    
  inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) {
    Vector<Real, Dim> 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, unsigned int Dim>    
  Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) {
    Vector<Real, Dim> 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, unsigned int Dim>                 
  Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, Real s) {       
    Vector<Real, Dim> 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, unsigned int Dim>
  Vector<Real, Dim> operator * ( Real s, const Vector<Real, Dim>& v1 ) {
    Vector<Real, Dim> 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, unsigned int Dim>    
  Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, Real s) {       
    Vector<Real, Dim> result;
    result.div( v1,s);
    return result;           
  }
    
  /**
   * Returns the dot product of two Vectors
   * @param v1 first vector
   * @param v2 second vector
   * @return the dot product of v1 and v2
   */
  template<typename Real, unsigned int Dim>    
  inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) {
    Real tmp;
    tmp = 0;

    for (unsigned int i = 0; i < Dim; i++)
      tmp += v1[i] * v2[i];

    return tmp;
  }

  /**
   * Returns the distance between  two Vectors
   * @param v1 first vector
   * @param v2 second vector
   * @return the distance between v1 and v2
   */   
  template<typename Real, unsigned int Dim>    
  inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) {
    Vector<Real, Dim> tempVector = v1 - v2;
    return tempVector.length();
  }

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

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

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

      if (i  != Dim -1) {
        o<< ", ";
      }
    }

    o << " ]";
    return o;        
  }
    
}
#endif
Revision:	2204
Committed:	Fri Apr 15 22:04:00 2005 UTC (19 years, 3 months ago) by gezelter
File size:	13744 byte(s)
Log Message:	xemacs has been drafted to perform our indentation services
#	User	Rev	Content
1	gezelter	2204	/*
2	gezelter	1930	* Copyright (c) 2005 The University of Notre Dame. All Rights Reserved.
3	tim	1563	*
4	gezelter	1930	* 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. Acknowledgement of the program authors must be made in any
10			* publication of scientific results based in part on use of the
11			* program. An acceptable form of acknowledgement is citation of
12			* the article in which the program was described (Matthew
13			* A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher
14			* J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented
15			* Parallel Simulation Engine for Molecular Dynamics,"
16			* J. Comput. Chem. 26, pp. 252-271 (2005))
17			*
18			* 2. Redistributions of source code must retain the above copyright
19			* notice, this list of conditions and the following disclaimer.
20			*
21			* 3. Redistributions in binary form must reproduce the above copyright
22			* notice, this list of conditions and the following disclaimer in the
23			* documentation and/or other materials provided with the
24			* distribution.
25			*
26			* This software is provided "AS IS," without a warranty of any
27			* kind. All express or implied conditions, representations and
28			* warranties, including any implied warranty of merchantability,
29			* fitness for a particular purpose or non-infringement, are hereby
30			* excluded. The University of Notre Dame and its licensors shall not
31			* be liable for any damages suffered by licensee as a result of
32			* using, modifying or distributing the software or its
33			* derivatives. In no event will the University of Notre Dame or its
34			* licensors be liable for any lost revenue, profit or data, or for
35			* direct, indirect, special, consequential, incidental or punitive
36			* damages, however caused and regardless of the theory of liability,
37			* arising out of the use of or inability to use software, even if the
38			* University of Notre Dame has been advised of the possibility of
39			* such damages.
40	tim	1563	*/
41	gezelter	1930
42	tim	1563	/**
43			* @file Vector.hpp
44			* @author Teng Lin
45			* @date 09/14/2004
46			* @version 1.0
47			*/
48
49			#ifndef MATH_VECTOR_HPP
50			#define MATH_VECTOR_HPP
51
52			#include <cassert>
53			#include <cmath>
54	tim	1564	#include <iostream>
55	tim	1937	#include <math.h>
56	tim	1563	namespace oopse {
57
58	gezelter	2204	static const double epsilon = 0.000001;
59	tim	1569
60	gezelter	2204	template<typename T>
61			inline bool equal(T e1, T e2) {
62			return e1 == e2;
63			}
64	tim	1569
65	gezelter	2204	template<>
66			inline bool equal(float e1, float e2) {
67			return fabs(e1 - e2) < epsilon;
68			}
69	tim	1569
70	gezelter	2204	template<>
71			inline bool equal(double e1, double e2) {
72			return fabs(e1 - e2) < epsilon;
73			}
74	tim	1603
75	tim	1569
76	gezelter	2204	/**
77			* @class Vector Vector.hpp "math/Vector.hpp"
78			* @brief Fix length vector class
79			*/
80			template<typename Real, unsigned int Dim>
81			class Vector{
82			public:
83	tim	1563
84	gezelter	2204	typedef Real ElemType;
85			typedef Real* ElemPoinerType;
86	tim	1630
87	gezelter	2204	/** default constructor */
88			inline Vector(){
89			for (unsigned int i = 0; i < Dim; i++)
90			this->data_[i] = 0;
91			}
92	tim	1563
93	gezelter	2204	/** Constructs and initializes a Vector from a vector */
94			inline Vector(const Vector<Real, Dim>& v) {
95			*this = v;
96			}
97	tim	1563
98	gezelter	2204	/** copy assignment operator */
99			inline Vector<Real, Dim>& operator=(const Vector<Real, Dim>& v) {
100			if (this == &v)
101			return *this;
102	tim	1563
103	gezelter	2204	for (unsigned int i = 0; i < Dim; i++)
104			this->data_[i] = v[i];
105	tim	1563
106	gezelter	2204	return *this;
107			}
108	tim	1594
109	gezelter	2204	template<typename T>
110			inline Vector(const T& s){
111			for (unsigned int i = 0; i < Dim; i++)
112			this->data_[i] = s;
113			}
114	tim	1563
115	gezelter	2204	/** Constructs and initializes a Vector from an array */
116			inline Vector( Real* v) {
117			for (unsigned int i = 0; i < Dim; i++)
118			this->data_[i] = v[i];
119			}
120	tim	1563
121	gezelter	2204	/**
122			* Returns reference of ith element.
123			* @return reference of ith element
124			* @param i index
125			*/
126			inline Real& operator[](unsigned int i) {
127			assert( i < Dim);
128			return this->data_[i];
129			}
130	tim	1563
131	gezelter	2204	/**
132			* Returns reference of ith element.
133			* @return reference of ith element
134			* @param i index
135			*/
136			inline Real& operator()(unsigned int i) {
137			assert( i < Dim);
138			return this->data_[i];
139			}
140	tim	1563
141	gezelter	2204	/**
142			* Returns constant reference of ith element.
143			* @return reference of ith element
144			* @param i index
145			*/
146			inline const Real& operator[](unsigned int i) const {
147			assert( i < Dim);
148			return this->data_[i];
149			}
150	tim	1563
151	gezelter	2204	/**
152			* Returns constant reference of ith element.
153			* @return reference of ith element
154			* @param i index
155			*/
156			inline const Real& operator()(unsigned int i) const {
157			assert( i < Dim);
158			return this->data_[i];
159			}
160	tim	1563
161	gezelter	2204	/** Copy the internal data to an array*/
162			void getArray(Real* array) {
163			for (unsigned int i = 0; i < Dim; i ++) {
164			array[i] = this->data_[i];
165			}
166			}
167	tim	1644
168	gezelter	2204	/** Returns the pointer of internal array */
169			Real* getArrayPointer() {
170			return this->data_;
171			}
172	tim	1630
173	gezelter	2204	/**
174			* Tests if this vetor is equal to other vector
175			* @return true if equal, otherwise return false
176			* @param v vector to be compared
177			*/
178			inline bool operator ==(const Vector<Real, Dim>& v) {
179	tim	1569
180	gezelter	2204	for (unsigned int i = 0; i < Dim; i ++) {
181			if (!equal(this->data_[i], v[i])) {
182			return false;
183			}
184			}
185	tim	1569
186	gezelter	2204	return true;
187			}
188	tim	1569
189	gezelter	2204	/**
190			* Tests if this vetor is not equal to other vector
191			* @return true if equal, otherwise return false
192			* @param v vector to be compared
193			*/
194			inline bool operator !=(const Vector<Real, Dim>& v) {
195			return !(*this == v);
196			}
197	tim	1569
198	gezelter	2204	/** Negates the value of this vector in place. */
199			inline void negate() {
200			for (unsigned int i = 0; i < Dim; i++)
201			this->data_[i] = -this->data_[i];
202			}
203	tim	1563
204	gezelter	2204	/**
205			* Sets the value of this vector to the negation of vector v1.
206			* @param v1 the source vector
207			*/
208			inline void negate(const Vector<Real, Dim>& v1) {
209			for (unsigned int i = 0; i < Dim; i++)
210			this->data_[i] = -v1.data_[i];
211	tim	1563
212	gezelter	2204	}
213	tim	1563
214	gezelter	2204	/**
215			* Sets the value of this vector to the sum of itself and v1 (*this += v1).
216			* @param v1 the other vector
217			*/
218			inline void add( const Vector<Real, Dim>& v1 ) {
219			for (unsigned int i = 0; i < Dim; i++)
220			this->data_[i] += v1.data_[i];
221	tim	1563	}
222
223			/**
224	gezelter	2204	* Sets the value of this vector to the sum of v1 and v2 (*this = v1 + v2).
225	tim	1563	* @param v1 the first vector
226			* @param v2 the second vector
227	gezelter	2204	*/
228			inline void add( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) {
229			for (unsigned int i = 0; i < Dim; i++)
230			this->data_[i] = v1.data_[i] + v2.data_[i];
231	tim	1563	}
232
233			/**
234	gezelter	2204	* Sets the value of this vector to the difference of itself and v1 (*this -= v1).
235			* @param v1 the other vector
236			*/
237			inline void sub( const Vector<Real, Dim>& v1 ) {
238			for (unsigned int i = 0; i < Dim; i++)
239			this->data_[i] -= v1.data_[i];
240			}
241
242			/**
243			* Sets the value of this vector to the difference of vector v1 and v2 (*this = v1 - v2).
244	tim	1563	* @param v1 the first vector
245			* @param v2 the second vector
246	gezelter	2204	*/
247			inline void sub( const Vector<Real, Dim>& v1, const Vector &v2 ){
248			for (unsigned int i = 0; i < Dim; i++)
249			this->data_[i] = v1.data_[i] - v2.data_[i];
250	tim	1563	}
251	gezelter	2204
252	tim	1563	/**
253	gezelter	2204	* Sets the value of this vector to the scalar multiplication of itself (this = s).
254	tim	1563	* @param s the scalar value
255	gezelter	2204	*/
256			inline void mul( Real s ) {
257			for (unsigned int i = 0; i < Dim; i++)
258			this->data_[i] *= s;
259	tim	1563	}
260	gezelter	2204
261	tim	1563	/**
262	gezelter	2204	* Sets the value of this vector to the scalar multiplication of vector v1
263			* (this = s v1).
264			* @param v1 the vector
265	tim	1563	* @param s the scalar value
266	gezelter	2204	*/
267			inline void mul( const Vector<Real, Dim>& v1, Real s) {
268			for (unsigned int i = 0; i < Dim; i++)
269			this->data_[i] = s * v1.data_[i];
270	tim	1563	}
271
272			/**
273	gezelter	2204	* Sets the value of this vector to the scalar division of itself (*this /= s ).
274			* @param s the scalar value
275			*/
276			inline void div( Real s) {
277			for (unsigned int i = 0; i < Dim; i++)
278			this->data_[i] /= s;
279			}
280
281			/**
282			* Sets the value of this vector to the scalar division of vector v1 (*this = v1 / s ).
283	tim	1563	* @param v1 the source vector
284			* @param s the scalar value
285	gezelter	2204	*/
286			inline void div( const Vector<Real, Dim>& v1, Real s ) {
287			for (unsigned int i = 0; i < Dim; i++)
288			this->data_[i] = v1.data_[i] / s;
289	tim	1563	}
290
291	gezelter	2204	/** @see #add */
292			inline Vector<Real, Dim>& operator +=( const Vector<Real, Dim>& v1 ) {
293			add(v1);
294			return *this;
295			}
296	tim	1586
297	gezelter	2204	/** @see #sub */
298			inline Vector<Real, Dim>& operator -=( const Vector<Real, Dim>& v1 ) {
299			sub(v1);
300			return *this;
301	tim	1563	}
302
303	gezelter	2204	/** @see #mul */
304			inline Vector<Real, Dim>& operator *=( Real s) {
305			mul(s);
306			return *this;
307	tim	1563	}
308
309	gezelter	2204	/** @see #div */
310			inline Vector<Real, Dim>& operator /=( Real s ) {
311			div(s);
312			return *this;
313			}
314
315	tim	1563	/**
316	gezelter	2204	* Returns the length of this vector.
317			* @return the length of this vector
318	tim	1563	*/
319	gezelter	2204	inline Real length() {
320			return sqrt(lengthSquare());
321	tim	1563	}
322	gezelter	2204
323			/**
324			* Returns the squared length of this vector.
325			* @return the squared length of this vector
326			*/
327			inline Real lengthSquare() {
328			return dot(this, this);
329			}
330
331			/** Normalizes this vector in place */
332			inline void normalize() {
333			Real len;
334	tim	1563
335	gezelter	2204	len = length();
336
337			//if (len < oopse:epsilon)
338			// throw();
339
340			*this /= len;
341			}
342
343	tim	1563	/**
344	gezelter	2204	* Tests if this vector is normalized
345			* @return true if this vector is normalized, otherwise return false
346	tim	1563	*/
347	gezelter	2204	inline bool isNormalized() {
348			return equal(lengthSquare(), 1.0);
349			}
350
351			protected:
352			Real data_[Dim];
353
354			};
355	tim	1586
356	gezelter	2204	/** unary minus*/
357			template<typename Real, unsigned int Dim>
358			inline Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1){
359			Vector<Real, Dim> tmp(v1);
360			tmp.negate();
361			return tmp;
362			}
363
364			/**
365			* Return the sum of two vectors (v1 - v2).
366			* @return the sum of two vectors
367			* @param v1 the first vector
368			* @param v2 the second vector
369			*/
370			template<typename Real, unsigned int Dim>
371			inline Vector<Real, Dim> operator +(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) {
372			Vector<Real, Dim> result;
373	tim	1603
374	gezelter	2204	result.add(v1, v2);
375			return result;
376			}
377	tim	1603
378	gezelter	2204	/**
379			* Return the difference of two vectors (v1 - v2).
380			* @return the difference of two vectors
381			* @param v1 the first vector
382			* @param v2 the second vector
383			*/
384			template<typename Real, unsigned int Dim>
385			Vector<Real, Dim> operator -(const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2) {
386			Vector<Real, Dim> result;
387			result.sub(v1, v2);
388			return result;
389			}
390
391			/**
392			* Returns the vaule of scalar multiplication of this vector v1 (v1 * r).
393			* @return the vaule of scalar multiplication of this vector
394			* @param v1 the source vector
395			* @param s the scalar value
396			*/
397			template<typename Real, unsigned int Dim>
398			Vector<Real, Dim> operator * ( const Vector<Real, Dim>& v1, Real s) {
399			Vector<Real, Dim> result;
400			result.mul(v1,s);
401			return result;
402			}
403
404			/**
405			* Returns the vaule of scalar multiplication of this vector v1 (v1 * r).
406			* @return the vaule of scalar multiplication of this vector
407			* @param s the scalar value
408			* @param v1 the source vector
409			*/
410			template<typename Real, unsigned int Dim>
411			Vector<Real, Dim> operator * ( Real s, const Vector<Real, Dim>& v1 ) {
412			Vector<Real, Dim> result;
413			result.mul(v1, s);
414			return result;
415			}
416	tim	1603
417	gezelter	2204	/**
418			* Returns the value of division of a vector by a scalar.
419			* @return the vaule of scalar division of this vector
420			* @param v1 the source vector
421			* @param s the scalar value
422			*/
423			template<typename Real, unsigned int Dim>
424			Vector<Real, Dim> operator / ( const Vector<Real, Dim>& v1, Real s) {
425			Vector<Real, Dim> result;
426			result.div( v1,s);
427			return result;
428			}
429
430			/**
431			* Returns the dot product of two Vectors
432			* @param v1 first vector
433			* @param v2 second vector
434			* @return the dot product of v1 and v2
435			*/
436			template<typename Real, unsigned int Dim>
437			inline Real dot( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) {
438			Real tmp;
439			tmp = 0;
440
441			for (unsigned int i = 0; i < Dim; i++)
442			tmp += v1[i] * v2[i];
443
444			return tmp;
445			}
446
447			/**
448			* Returns the distance between two Vectors
449			* @param v1 first vector
450			* @param v2 second vector
451			* @return the distance between v1 and v2
452			*/
453			template<typename Real, unsigned int Dim>
454			inline Real distance( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) {
455			Vector<Real, Dim> tempVector = v1 - v2;
456			return tempVector.length();
457			}
458
459			/**
460			* Returns the squared distance between two Vectors
461			* @param v1 first vector
462			* @param v2 second vector
463			* @return the squared distance between v1 and v2
464			*/
465			template<typename Real, unsigned int Dim>
466			inline Real distanceSquare( const Vector<Real, Dim>& v1, const Vector<Real, Dim>& v2 ) {
467			Vector<Real, Dim> tempVector = v1 - v2;
468			return tempVector.lengthSquare();
469			}
470
471			/**
472			* Write to an output stream
473			*/
474			template<typename Real, unsigned int Dim>
475			std::ostream &operator<< ( std::ostream& o, const Vector<Real, Dim>& v) {
476
477			o << "[ ";
478
479			for (unsigned int i = 0 ; i< Dim; i++) {
480			o << v[i];
481
482			if (i != Dim -1) {
483			o<< ", ";
484			}
485	tim	1563	}
486	gezelter	2204
487			o << " ]";
488			return o;
489			}
490	tim	1563
491			}
492			#endif