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trunk/src/math/RectMatrix.hpp (file contents), Revision 74 by tim, Wed Oct 13 23:53:40 2004 UTC vs.
branches/development/src/math/RectMatrix.hpp (file contents), Revision 1787 by gezelter, Wed Aug 29 18:13:11 2012 UTC

#	Line 1 | Line 1
1		/*
2	<	* Copyright (C) 2000-2004  Object Oriented Parallel Simulation Engine (OOPSE) project
3	<	*
4	<	* Contact: oopse@oopse.org
5	<	*
6	<	* This program is free software; you can redistribute it and/or
7	<	* modify it under the terms of the GNU Lesser General Public License
8	<	* as published by the Free Software Foundation; either version 2.1
9	<	* of the License, or (at your option) any later version.
10	<	* All we ask is that proper credit is given for our work, which includes
11	<	* - but is not limited to - adding the above copyright notice to the beginning
12	<	* of your source code files, and to any copyright notice that you may distribute
13	<	* with programs based on this work.
14	<	*
15	<	* This program is distributed in the hope that it will be useful,
16	<	* but WITHOUT ANY WARRANTY; without even the implied warranty of
17	<	* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
18	<	* GNU Lesser General Public License for more details.
19	<	*
20	<	* You should have received a copy of the GNU Lesser General Public License
21	<	* along with this program; if not, write to the Free Software
22	<	* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.
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	<
26	<
42	>
43		/**
44		* @file RectMatrix.hpp
45		* @author Teng Lin
#	Line 33 | Line 49
49
50		#ifndef MATH_RECTMATRIX_HPP
51		#define MATH_RECTMATRIX_HPP
52	<
52	>	#include <math.h>
53		#include <cmath>
54		#include "Vector.hpp"
55
56	<	namespace oopse {
41	<	const double epsilon = 0.000001;
56	>	namespace OpenMD {
57
58	<	template<typename T>
59	<	inline bool equal(T e1, T e2) {
60	<	return e1 == e2;
58	>	/**
59	>	* @class RectMatrix RectMatrix.hpp "math/RectMatrix.hpp"
60	>	* @brief rectangular matrix class
61	>	*/
62	>	template<typename Real, unsigned int Row, unsigned int Col>
63	>	class RectMatrix {
64	>	public:
65	>	typedef Real ElemType;
66	>	typedef Real* ElemPoinerType;
67	>
68	>	/** default constructor */
69	>	RectMatrix() {
70	>	for (unsigned int i = 0; i < Row; i++)
71	>	for (unsigned int j = 0; j < Col; j++)
72	>	this->data_[i][j] = 0.0;
73		}
74
75	<	template<>
76	<	inline bool equal(float e1, float e2) {
77	<	return fabs(e1 - e2) < epsilon;
75	>	/** Constructs and initializes every element of this matrix to a scalar */
76	>	RectMatrix(Real s) {
77	>	for (unsigned int i = 0; i < Row; i++)
78	>	for (unsigned int j = 0; j < Col; j++)
79	>	this->data_[i][j] = s;
80		}
81
82	<	template<>
83	<	inline bool equal(double e1, double e2) {
84	<	return fabs(e1 - e2) < epsilon;
82	>	RectMatrix(Real* array) {
83	>	for (unsigned int i = 0; i < Row; i++)
84	>	for (unsigned int j = 0; j < Col; j++)
85	>	this->data_[i][j] = array[i * Row + j];
86		}
87
88	+	/** copy constructor */
89	+	RectMatrix(const RectMatrix<Real, Row, Col>& m) {
90	+	*this = m;
91	+	}
92	+
93	+	/** destructor*/
94	+	~RectMatrix() {}
95	+
96	+	/** copy assignment operator */
97	+	RectMatrix<Real, Row, Col>& operator =(const RectMatrix<Real, Row, Col>& m) {
98	+	if (this == &m)
99	+	return *this;
100	+
101	+	for (unsigned int i = 0; i < Row; i++)
102	+	for (unsigned int j = 0; j < Col; j++)
103	+	this->data_[i][j] = m.data_[i][j];
104	+	return *this;
105	+	}
106	+
107		/**
108	<	* @class RectMatrix RectMatrix.hpp "math/RectMatrix.hpp"
109	<	* @brief rectangular matrix class
108	>	* Return the reference of a single element of this matrix.
109	>	* @return the reference of a single element of this matrix
110	>	* @param i row index
111	>	* @param j Column index
112		*/
113	<	template<typename Real, unsigned int Row, unsigned int Col>
114	<	class RectMatrix {
115	<	public:
113	>	Real& operator()(unsigned int i, unsigned int j) {
114	>	//assert( i < Row && j < Col);
115	>	return this->data_[i][j];
116	>	}
117
118	<	/** default constructor */
119	<	RectMatrix() {
120	<	for (unsigned int i = 0; i < Row; i++)
121	<	for (unsigned int j = 0; j < Col; j++)
122	<	data_[i][j] = 0.0;
123	<	}
118	>	/**
119	>	* Return the value of a single element of this matrix.
120	>	* @return the value of a single element of this matrix
121	>	* @param i row index
122	>	* @param j Column index
123	>	*/
124	>	Real operator()(unsigned int i, unsigned int j) const  {
125	>
126	>	return this->data_[i][j];
127	>	}
128
129	<	/** Constructs and initializes every element of this matrix to a scalar */
130	<	RectMatrix(Real s) {
131	<	for (unsigned int i = 0; i < Row; i++)
132	<	for (unsigned int j = 0; j < Col; j++)
133	<	data_[i][j] = s;
134	<	}
129	>	/**
130	>	* Copy the internal data to an array
131	>	* @param array the pointer of destination array
132	>	*/
133	>	void getArray(Real* array) {
134	>	for (unsigned int i = 0; i < Row; i++) {
135	>	for (unsigned int j = 0; j < Col; j++) {
136	>	array[i * Row + j] = this->data_[i][j];
137	>	}
138	>	}
139	>	}
140
80	–	/** copy constructor */
81	–	RectMatrix(const RectMatrix<Real, Row, Col>& m) {
82	–	*this = m;
83	–	}
84	–
85	–	/** destructor*/
86	–	~RectMatrix() {}
141
142	<	/** copy assignment operator */
143	<	RectMatrix<Real, Row, Col>& operator =(const RectMatrix<Real, Row, Col>& m) {
144	<	if (this == &m)
145	<	return *this;
92	<
93	<	for (unsigned int i = 0; i < Row; i++)
94	<	for (unsigned int j = 0; j < Col; j++)
95	<	data_[i][j] = m.data_[i][j];
96	<	return *this;
97	<	}
98	<
99	<	/**
100	<	* Return the reference of a single element of this matrix.
101	<	* @return the reference of a single element of this matrix
102	<	* @param i row index
103	<	* @param j colum index
104	<	*/
105	<	double& operator()(unsigned int i, unsigned int j) {
106	<	//assert( i < Row && j < Col);
107	<	return data_[i][j];
108	<	}
142	>	/** Returns the pointer of internal array */
143	>	Real* getArrayPointer() {
144	>	return &this->data_[0][0];
145	>	}
146
147	<	/**
148	<	* Return the value of a single element of this matrix.
149	<	* @return the value of a single element of this matrix
150	<	* @param i row index
151	<	* @param j colum index
152	<	*/
153	<	double operator()(unsigned int i, unsigned int j) const  {
117	<
118	<	return data_[i][j];
119	<	}
147	>	/**
148	>	* Returns a row of  this matrix as a vector.
149	>	* @return a row of  this matrix as a vector
150	>	* @param row the row index
151	>	*/
152	>	Vector<Real, Row> getRow(unsigned int row) {
153	>	Vector<Real, Row> v;
154
155	<	/**
156	<	* Returns a row of  this matrix as a vector.
123	<	* @return a row of  this matrix as a vector
124	<	* @param row the row index
125	<	*/
126	<	Vector<Real, Row> getRow(unsigned int row) {
127	<	Vector<Real, Row> v;
155	>	for (unsigned int i = 0; i < Col; i++)
156	>	v[i] = this->data_[row][i];
157
158	<	for (unsigned int i = 0; i < Row; i++)
159	<	v[i] = data_[row][i];
158	>	return v;
159	>	}
160
161	<	return v;
162	<	}
161	>	/**
162	>	* Sets a row of  this matrix
163	>	* @param row the row index
164	>	* @param v the vector to be set
165	>	*/
166	>	void setRow(unsigned int row, const Vector<Real, Row>& v) {
167
168	<	/**
169	<	* Sets a row of  this matrix
170	<	* @param row the row index
138	<	* @param v the vector to be set
139	<	*/
140	<	void setRow(unsigned int row, const Vector<Real, Row>& v) {
168	>	for (unsigned int i = 0; i < Col; i++)
169	>	this->data_[row][i] = v[i];
170	>	}
171
172	<	for (unsigned int i = 0; i < Row; i++)
173	<	data_[row][i] = v[i];
174	<	}
175	<
176	<	/**
177	<	* Returns a column of  this matrix as a vector.
178	<	* @return a column of  this matrix as a vector
149	<	* @param col the column index
150	<	*/
151	<	Vector<Real, Col> getColum(unsigned int col) {
152	<	Vector<Real, Col> v;
172	>	/**
173	>	* Returns a column of  this matrix as a vector.
174	>	* @return a column of  this matrix as a vector
175	>	* @param col the column index
176	>	*/
177	>	Vector<Real, Col> getColumn(unsigned int col) {
178	>	Vector<Real, Col> v;
179
180	<	for (unsigned int j = 0; j < Col; j++)
181	<	v[j] = data_[j][col];
180	>	for (unsigned int j = 0; j < Row; j++)
181	>	v[j] = this->data_[j][col];
182
183	<	return v;
184	<	}
183	>	return v;
184	>	}
185
186	<	/**
187	<	* Sets a column of  this matrix
188	<	* @param col the column index
189	<	* @param v the vector to be set
190	<	*/
191	<	void setColum(unsigned int col, const Vector<Real, Col>& v){
186	>	/**
187	>	* Sets a column of  this matrix
188	>	* @param col the column index
189	>	* @param v the vector to be set
190	>	*/
191	>	void setColumn(unsigned int col, const Vector<Real, Col>& v){
192
193	<	for (unsigned int j = 0; j < Col; j++)
194	<	data_[j][col] = v[j];
195	<	}
193	>	for (unsigned int j = 0; j < Row; j++)
194	>	this->data_[j][col] = v[j];
195	>	}
196
197	<	/**
198	<	* Tests if this matrix is identical to matrix m
199	<	* @return true if this matrix is equal to the matrix m, return false otherwise
200	<	* @m matrix to be compared
201	<	*
202	<	* @todo replace operator == by template function equal
203	<	*/
178	<	bool operator ==(const RectMatrix<Real, Row, Col>& m) {
179	<	for (unsigned int i = 0; i < Row; i++)
180	<	for (unsigned int j = 0; j < Col; j++)
181	<	if (!equal(data_[i][j], m.data_[i][j]))
182	<	return false;
197	>	/**
198	>	* swap two rows of this matrix
199	>	* @param i the first row
200	>	* @param j the second row
201	>	*/
202	>	void swapRow(unsigned int i, unsigned int j){
203	>	assert(i < Row && j < Row);
204
205	<	return true;
206	<	}
205	>	for (unsigned int k = 0; k < Col; k++)
206	>	std::swap(this->data_[i][k], this->data_[j][k]);
207	>	}
208
209	<	/**
210	<	* Tests if this matrix is not equal to matrix m
211	<	* @return true if this matrix is not equal to the matrix m, return false otherwise
212	<	* @m matrix to be compared
213	<	*/
214	<	bool operator !=(const RectMatrix<Real, Row, Col>& m) {
215	<	return !(*this == m);
216	<	}
209	>	/**
210	>	* swap two Columns of this matrix
211	>	* @param i the first Column
212	>	* @param j the second Column
213	>	*/
214	>	void swapColumn(unsigned int i, unsigned int j){
215	>	assert(i < Col && j < Col);
216	>
217	>	for (unsigned int k = 0; k < Row; k++)
218	>	std::swap(this->data_[k][i], this->data_[k][j]);
219	>	}
220
221	<	/** Negates the value of this matrix in place. */
222	<	inline void negate() {
223	<	for (unsigned int i = 0; i < Row; i++)
224	<	for (unsigned int j = 0; j < Col; j++)
225	<	data_[i][j] = -data_[i][j];
226	<	}
227	<
228	<	/**
229	<	* Sets the value of this matrix to the negation of matrix m.
230	<	* @param m the source matrix
231	<	*/
232	<	inline void negate(const RectMatrix<Real, Row, Col>& m) {
208	<	for (unsigned int i = 0; i < Row; i++)
209	<	for (unsigned int j = 0; j < Col; j++)
210	<	data_[i][j] = -m.data_[i][j];
211	<	}
212	<
213	<	/**
214	<	* Sets the value of this matrix to the sum of itself and m (*this += m).
215	<	* @param m the other matrix
216	<	*/
217	<	inline void add( const RectMatrix<Real, Row, Col>& m ) {
218	<	for (unsigned int i = 0; i < Row; i++)
219	<	for (unsigned int j = 0; j < Col; j++)
220	<	data_[i][j] += m.data_[i][j];
221	<	}
222	<
223	<	/**
224	<	* Sets the value of this matrix to the sum of m1 and m2 (*this = m1 + m2).
225	<	* @param m1 the first matrix
226	<	* @param m2 the second matrix
227	<	*/
228	<	inline void add( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2 ) {
229	<	for (unsigned int i = 0; i < Row; i++)
230	<	for (unsigned int j = 0; j < Col; j++)
231	<	data_[i][j] = m1.data_[i][j] + m2.data_[i][j];
232	<	}
233	<
234	<	/**
235	<	* Sets the value of this matrix to the difference  of itself and m (*this -= m).
236	<	* @param m the other matrix
237	<	*/
238	<	inline void sub( const RectMatrix<Real, Row, Col>& m ) {
239	<	for (unsigned int i = 0; i < Row; i++)
240	<	for (unsigned int j = 0; j < Col; j++)
241	<	data_[i][j] -= m.data_[i][j];
242	<	}
243	<
244	<	/**
245	<	* Sets the value of this matrix to the difference of matrix m1 and m2 (*this = m1 - m2).
246	<	* @param m1 the first matrix
247	<	* @param m2 the second matrix
248	<	*/
249	<	inline void sub( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2){
250	<	for (unsigned int i = 0; i < Row; i++)
251	<	for (unsigned int j = 0; j < Col; j++)
252	<	data_[i][j] = m1.data_[i][j] - m2.data_[i][j];
253	<	}
221	>	/**
222	>	* Tests if this matrix is identical to matrix m
223	>	* @return true if this matrix is equal to the matrix m, return false otherwise
224	>	* @m matrix to be compared
225	>	*
226	>	* @todo replace operator == by template function equal
227	>	*/
228	>	bool operator ==(const RectMatrix<Real, Row, Col>& m) {
229	>	for (unsigned int i = 0; i < Row; i++)
230	>	for (unsigned int j = 0; j < Col; j++)
231	>	if (!equal(this->data_[i][j], m.data_[i][j]))
232	>	return false;
233
234	<	/**
235	<	* Sets the value of this matrix to the scalar multiplication of itself (*this *= s).
257	<	* @param s the scalar value
258	<	*/
259	<	inline void mul( double s ) {
260	<	for (unsigned int i = 0; i < Row; i++)
261	<	for (unsigned int j = 0; j < Col; j++)
262	<	data_[i][j] *= s;
263	<	}
234	>	return true;
235	>	}
236
237	<	/**
238	<	* Sets the value of this matrix to the scalar multiplication of matrix m  (*this = s * m).
239	<	* @param s the scalar value
240	<	* @param m the matrix
241	<	*/
242	<	inline void mul( double s, const RectMatrix<Real, Row, Col>& m ) {
243	<	for (unsigned int i = 0; i < Row; i++)
244	<	for (unsigned int j = 0; j < Col; j++)
273	<	data_[i][j] = s * m.data_[i][j];
274	<	}
237	>	/**
238	>	* Tests if this matrix is not equal to matrix m
239	>	* @return true if this matrix is not equal to the matrix m, return false otherwise
240	>	* @m matrix to be compared
241	>	*/
242	>	bool operator !=(const RectMatrix<Real, Row, Col>& m) {
243	>	return !(*this == m);
244	>	}
245
246	<	/**
247	<	* Sets the value of this matrix to the scalar division of itself  (*this /= s ).
248	<	* @param s the scalar value
249	<	*/
250	<	inline void div( double s) {
251	<	for (unsigned int i = 0; i < Row; i++)
252	<	for (unsigned int j = 0; j < Col; j++)
253	<	data_[i][j] /= s;
254	<	}
255	<
256	<	/**
257	<	* Sets the value of this matrix to the scalar division of matrix m  (*this = m /s).
258	<	* @param s the scalar value
259	<	* @param m the matrix
260	<	*/
261	<	inline void div( double s, const RectMatrix<Real, Row, Col>& m ) {
262	<	for (unsigned int i = 0; i < Row; i++)
263	<	for (unsigned int j = 0; j < Col; j++)
264	<	data_[i][j] = m.data_[i][j] / s;
265	<	}
266	<
267	<	/**
268	<	*  Multiples a scalar into every element of this matrix.
269	<	* @param s the scalar value
270	<	*/
271	<	RectMatrix<Real, Row, Col>& operator *=(const double s) {
272	<	this->mul(s);
273	<	return *this;
274	<	}
275	<
276	<	/**
277	<	*  Divides every element of this matrix by a scalar.
278	<	* @param s the scalar value
279	<	*/
280	<	RectMatrix<Real, Row, Col>& operator /=(const double s) {
281	<	this->div(s);
282	<	return *this;
283	<	}
284	<
285	<	/**
286	<	* Sets the value of this matrix to the sum of the other matrix and itself (*this += m).
287	<	* @param m the other matrix
288	<	*/
289	<	RectMatrix<Real, Row, Col>& operator += (const RectMatrix<Real, Row, Col>& m) {
290	<	add(m);
291	<	return *this;
292	<	}
293	<
294	<	/**
295	<	* Sets the value of this matrix to the differerence of itself and the other matrix (*this -= m)
296	<	* @param m the other matrix
297	<	*/
298	<	RectMatrix<Real, Row, Col>& operator -= (const RectMatrix<Real, Row, Col>& m){
299	<	sub(m);
300	<	return *this;
301	<	}
302	<
303	<	/** Return the transpose of this matrix */
334	<	RectMatrix<Real,  Col, Row> transpose(){
335	<	RectMatrix<Real,  Col, Row> result;
336	<
337	<	for (unsigned int i = 0; i < Row; i++)
338	<	for (unsigned int j = 0; j < Col; j++)
339	<	result(j, i) = data_[i][j];
246	>	/** Negates the value of this matrix in place. */
247	>	inline void negate() {
248	>	for (unsigned int i = 0; i < Row; i++)
249	>	for (unsigned int j = 0; j < Col; j++)
250	>	this->data_[i][j] = -this->data_[i][j];
251	>	}
252	>
253	>	/**
254	>	* Sets the value of this matrix to the negation of matrix m.
255	>	* @param m the source matrix
256	>	*/
257	>	inline void negate(const RectMatrix<Real, Row, Col>& m) {
258	>	for (unsigned int i = 0; i < Row; i++)
259	>	for (unsigned int j = 0; j < Col; j++)
260	>	this->data_[i][j] = -m.data_[i][j];
261	>	}
262	>
263	>	/**
264	>	* Sets the value of this matrix to the sum of itself and m (*this += m).
265	>	* @param m the other matrix
266	>	*/
267	>	inline void add( const RectMatrix<Real, Row, Col>& m ) {
268	>	for (unsigned int i = 0; i < Row; i++)
269	>	for (unsigned int j = 0; j < Col; j++)
270	>	this->data_[i][j] += m.data_[i][j];
271	>	}
272	>
273	>	/**
274	>	* Sets the value of this matrix to the sum of m1 and m2 (*this = m1 + m2).
275	>	* @param m1 the first matrix
276	>	* @param m2 the second matrix
277	>	*/
278	>	inline void add( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2 ) {
279	>	for (unsigned int i = 0; i < Row; i++)
280	>	for (unsigned int j = 0; j < Col; j++)
281	>	this->data_[i][j] = m1.data_[i][j] + m2.data_[i][j];
282	>	}
283	>
284	>	/**
285	>	* Sets the value of this matrix to the difference  of itself and m (*this -= m).
286	>	* @param m the other matrix
287	>	*/
288	>	inline void sub( const RectMatrix<Real, Row, Col>& m ) {
289	>	for (unsigned int i = 0; i < Row; i++)
290	>	for (unsigned int j = 0; j < Col; j++)
291	>	this->data_[i][j] -= m.data_[i][j];
292	>	}
293	>
294	>	/**
295	>	* Sets the value of this matrix to the difference of matrix m1 and m2 (*this = m1 - m2).
296	>	* @param m1 the first matrix
297	>	* @param m2 the second matrix
298	>	*/
299	>	inline void sub( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2){
300	>	for (unsigned int i = 0; i < Row; i++)
301	>	for (unsigned int j = 0; j < Col; j++)
302	>	this->data_[i][j] = m1.data_[i][j] - m2.data_[i][j];
303	>	}
304
305	<	return result;
306	<	}
307	<
308	<	protected:
309	<	Real data_[Row][Col];
310	<	};
305	>	/**
306	>	* Sets the value of this matrix to the scalar multiplication of itself (*this *= s).
307	>	* @param s the scalar value
308	>	*/
309	>	inline void mul( Real s ) {
310	>	for (unsigned int i = 0; i < Row; i++)
311	>	for (unsigned int j = 0; j < Col; j++)
312	>	this->data_[i][j] *= s;
313	>	}
314
315	<	/** Negate the value of every element of this matrix. */
316	<	template<typename Real, unsigned int Row, unsigned int Col>
317	<	inline RectMatrix<Real, Row, Col> operator -(const RectMatrix<Real, Row, Col>& m) {
318	<	RectMatrix<Real, Row, Col> result(m);
315	>	/**
316	>	* Sets the value of this matrix to the scalar multiplication of matrix m  (*this = s * m).
317	>	* @param s the scalar value
318	>	* @param m the matrix
319	>	*/
320	>	inline void mul( Real s, const RectMatrix<Real, Row, Col>& m ) {
321	>	for (unsigned int i = 0; i < Row; i++)
322	>	for (unsigned int j = 0; j < Col; j++)
323	>	this->data_[i][j] = s * m.data_[i][j];
324	>	}
325
326	<	result.negate();
326	>	/**
327	>	* Sets the value of this matrix to the scalar division of itself  (*this /= s ).
328	>	* @param s the scalar value
329	>	*/
330	>	inline void div( Real s) {
331	>	for (unsigned int i = 0; i < Row; i++)
332	>	for (unsigned int j = 0; j < Col; j++)
333	>	this->data_[i][j] /= s;
334	>	}
335
336	<	return result;
336	>	/**
337	>	* Sets the value of this matrix to the scalar division of matrix m  (*this = m /s).
338	>	* @param s the scalar value
339	>	* @param m the matrix
340	>	*/
341	>	inline void div( Real s, const RectMatrix<Real, Row, Col>& m ) {
342	>	for (unsigned int i = 0; i < Row; i++)
343	>	for (unsigned int j = 0; j < Col; j++)
344	>	this->data_[i][j] = m.data_[i][j] / s;
345		}
346	<
346	>
347		/**
348	<	* Return the sum of two matrixes  (m1 + m2).
349	<	* @return the sum of two matrixes
350	<	* @param m1 the first matrix
351	<	* @param m2 the second matrix
352	<	*/
353	<	template<typename Real, unsigned int Row, unsigned int Col>
354	<	inline RectMatrix<Real, Row, Col> operator + (const RectMatrix<Real, Row, Col>& m1,const RectMatrix<Real, Row, Col>& m2) {
366	<	RectMatrix<Real, Row, Col> result;
348	>	*  Multiples a scalar into every element of this matrix.
349	>	* @param s the scalar value
350	>	*/
351	>	RectMatrix<Real, Row, Col>& operator *=(const Real s) {
352	>	this->mul(s);
353	>	return *this;
354	>	}
355
356	<	result.add(m1, m2);
356	>	/**
357	>	*  Divides every element of this matrix by a scalar.
358	>	* @param s the scalar value
359	>	*/
360	>	RectMatrix<Real, Row, Col>& operator /=(const Real s) {
361	>	this->div(s);
362	>	return *this;
363	>	}
364
365	<	return result;
365	>	/**
366	>	* Sets the value of this matrix to the sum of the other matrix and itself (*this += m).
367	>	* @param m the other matrix
368	>	*/
369	>	RectMatrix<Real, Row, Col>& operator += (const RectMatrix<Real, Row, Col>& m) {
370	>	add(m);
371	>	return *this;
372		}
373	<
373	>
374		/**
375	<	* Return the difference of two matrixes  (m1 - m2).
376	<	* @return the sum of two matrixes
377	<	* @param m1 the first matrix
378	<	* @param m2 the second matrix
379	<	*/
380	<	template<typename Real, unsigned int Row, unsigned int Col>
381	<	inline RectMatrix<Real, Row, Col> operator - (const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2) {
381	<	RectMatrix<Real, Row, Col> result;
375	>	* Sets the value of this matrix to the differerence of itself and the other matrix (*this -= m)
376	>	* @param m the other matrix
377	>	*/
378	>	RectMatrix<Real, Row, Col>& operator -= (const RectMatrix<Real, Row, Col>& m){
379	>	sub(m);
380	>	return *this;
381	>	}
382
383	<	result.sub(m1, m2);
383	>	/** Return the transpose of this matrix */
384	>	RectMatrix<Real,  Col, Row> transpose() const{
385	>	RectMatrix<Real,  Col, Row> result;
386	>
387	>	for (unsigned int i = 0; i < Row; i++)
388	>	for (unsigned int j = 0; j < Col; j++)
389	>	result(j, i) = this->data_[i][j];
390
391	<	return result;
391	>	return result;
392		}
393
394	<	/**
395	<	* Return the multiplication of scalra and  matrix  (m * s).
396	<	* @return the multiplication of a scalra and  a matrix
397	<	* @param m the matrix
392	<	* @param s the scalar
393	<	*/
394	<	template<typename Real, unsigned int Row, unsigned int Col>
395	<	inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, Col>& m, Real s) {
396	<	RectMatrix<Real, Row, Col> result;
394	>	template<class MatrixType>
395	>	void setSubMatrix(unsigned int beginRow, unsigned int beginCol, const MatrixType& m) {
396	>	assert(beginRow + m.getNRow() -1 <= getNRow());
397	>	assert(beginCol + m.getNCol() -1 <= getNCol());
398
399	<	result.mul(s, m);
399	>	for (unsigned int i = 0; i < m.getNRow(); ++i)
400	>	for (unsigned int j = 0; j < m.getNCol(); ++j)
401	>	this->data_[beginRow+i][beginCol+j] = m(i, j);
402	>	}
403
404	<	return result;
404	>	template<class MatrixType>
405	>	void getSubMatrix(unsigned int beginRow, unsigned int beginCol, MatrixType& m) {
406	>	assert(beginRow + m.getNRow() -1 <= getNRow());
407	>	assert(beginCol + m.getNCol() - 1 <= getNCol());
408	>
409	>	for (unsigned int i = 0; i < m.getNRow(); ++i)
410	>	for (unsigned int j = 0; j < m.getNCol(); ++j)
411	>	m(i, j) = this->data_[beginRow+i][beginCol+j];
412		}
413	+
414	+	unsigned int getNRow() const {return Row;}
415	+	unsigned int getNCol() const {return Col;}
416
417	<	/**
418	<	* Return the multiplication of a scalra and  a matrix  (s * m).
419	<	* @return the multiplication of a scalra and  a matrix
406	<	* @param s the scalar
407	<	* @param m the matrix
408	<	*/
409	<	template<typename Real, unsigned int Row, unsigned int Col>
410	<	inline RectMatrix<Real, Row, Col> operator *(Real s, const RectMatrix<Real, Row, Col>& m) {
411	<	RectMatrix<Real, Row, Col> result;
417	>	protected:
418	>	Real data_[Row][Col];
419	>	};
420
421	<	result.mul(s, m);
421	>	/** Negate the value of every element of this matrix. */
422	>	template<typename Real, unsigned int Row, unsigned int Col>
423	>	inline RectMatrix<Real, Row, Col> operator -(const RectMatrix<Real, Row, Col>& m) {
424	>	RectMatrix<Real, Row, Col> result(m);
425
426	<	return result;
427	<	}
426	>	result.negate();
427	>
428	>	return result;
429	>	}
430
431	<	/**
432	<	* Return the multiplication of two matrixes  (m1 * m2).
433	<	* @return the multiplication of two matrixes
434	<	* @param m1 the first matrix
435	<	* @param m2 the second matrix
436	<	*/
437	<	template<typename Real, unsigned int Row, unsigned int Col, unsigned int SameDim>
438	<	inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, SameDim>& m1, const RectMatrix<Real, SameDim, Col>& m2) {
439	<	RectMatrix<Real, Row, Col> result;
431	>	/**
432	>	* Return the sum of two matrixes  (m1 + m2).
433	>	* @return the sum of two matrixes
434	>	* @param m1 the first matrix
435	>	* @param m2 the second matrix
436	>	*/
437	>	template<typename Real, unsigned int Row, unsigned int Col>
438	>	inline RectMatrix<Real, Row, Col> operator + (const RectMatrix<Real, Row, Col>& m1,const RectMatrix<Real, Row, Col>& m2) {
439	>	RectMatrix<Real, Row, Col> result;
440
441	<	for (unsigned int i = 0; i < Row; i++)
429	<	for (unsigned int j = 0; j < Col; j++)
430	<	for (unsigned int k = 0; k < SameDim; k++)
431	<	result(i, j)  = m1(i, k) * m2(k, j);
441	>	result.add(m1, m2);
442
443	<	return result;
444	<	}
443	>	return result;
444	>	}
445
446	<	/**
447	<	* Return the multiplication of  a matrix and a vector  (m * v).
448	<	* @return the multiplication of a matrix and a vector
449	<	* @param m the matrix
450	<	* @param v the vector
451	<	*/
452	<	template<typename Real, unsigned int Row, unsigned int Col>
453	<	inline Vector<Real, Row> operator *(const RectMatrix<Real, Row, Col>& m, const Vector<Real, Col>& v) {
454	<	Vector<Real, Row> result;
446	>	/**
447	>	* Return the difference of two matrixes  (m1 - m2).
448	>	* @return the sum of two matrixes
449	>	* @param m1 the first matrix
450	>	* @param m2 the second matrix
451	>	*/
452	>	template<typename Real, unsigned int Row, unsigned int Col>
453	>	inline RectMatrix<Real, Row, Col> operator - (const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2) {
454	>	RectMatrix<Real, Row, Col> result;
455
456	<	for (unsigned int i = 0; i < Row ; i++)
457	<	for (unsigned int j = 0; j < Col ; j++)
458	<	result[i] += m(i, j) * v[j];
456	>	result.sub(m1, m2);
457	>
458	>	return result;
459	>	}
460	>
461	>	/**
462	>	* Return the multiplication of scalra and  matrix  (m * s).
463	>	* @return the multiplication of a scalra and  a matrix
464	>	* @param m the matrix
465	>	* @param s the scalar
466	>	*/
467	>	template<typename Real, unsigned int Row, unsigned int Col>
468	>	inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, Col>& m, Real s) {
469	>	RectMatrix<Real, Row, Col> result;
470	>
471	>	result.mul(s, m);
472	>
473	>	return result;
474	>	}
475	>
476	>	/**
477	>	* Return the multiplication of a scalra and  a matrix  (s * m).
478	>	* @return the multiplication of a scalra and  a matrix
479	>	* @param s the scalar
480	>	* @param m the matrix
481	>	*/
482	>	template<typename Real, unsigned int Row, unsigned int Col>
483	>	inline RectMatrix<Real, Row, Col> operator *(Real s, const RectMatrix<Real, Row, Col>& m) {
484	>	RectMatrix<Real, Row, Col> result;
485	>
486	>	result.mul(s, m);
487	>
488	>	return result;
489	>	}
490	>
491	>	/**
492	>	* Return the multiplication of two matrixes  (m1 * m2).
493	>	* @return the multiplication of two matrixes
494	>	* @param m1 the first matrix
495	>	* @param m2 the second matrix
496	>	*/
497	>	template<typename Real, unsigned int Row, unsigned int Col, unsigned int SameDim>
498	>	inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, SameDim>& m1, const RectMatrix<Real, SameDim, Col>& m2) {
499	>	RectMatrix<Real, Row, Col> result;
500	>
501	>	for (unsigned int i = 0; i < Row; i++)
502	>	for (unsigned int j = 0; j < Col; j++)
503	>	for (unsigned int k = 0; k < SameDim; k++)
504	>	result(i, j)  += m1(i, k) * m2(k, j);
505	>
506	>	return result;
507	>	}
508	>
509	>	/**
510	>	* Returns the multiplication of  a matrix and a vector  (m * v).
511	>	* @return the multiplication of a matrix and a vector
512	>	* @param m the matrix
513	>	* @param v the vector
514	>	*/
515	>	template<typename Real, unsigned int Row, unsigned int Col>
516	>	inline Vector<Real, Row> operator *(const RectMatrix<Real, Row, Col>& m, const Vector<Real, Col>& v) {
517	>	Vector<Real, Row> result;
518	>
519	>	for (unsigned int i = 0; i < Row ; i++)
520	>	for (unsigned int j = 0; j < Col ; j++)
521	>	result[i] += m(i, j) * v[j];
522
523	<	return result;
524	<	}
523	>	return result;
524	>	}
525
526	<	/**
527	<	* Return the scalar division of matrix   (m / s).
528	<	* @return the scalar division of matrix
529	<	* @param m the matrix
530	<	* @param s the scalar
531	<	*/
532	<	template<typename Real, unsigned int Row, unsigned int Col>
533	<	inline RectMatrix<Real, Row, Col> operator /(const RectMatrix<Real, Row, Col>& m, Real s) {
534	<	RectMatrix<Real, Row, Col> result;
526	>	/**
527	>	* Returns the multiplication of a vector transpose and a matrix  (v^T * m).
528	>	* @return the multiplication of a vector transpose and a matrix
529	>	* @param v the vector
530	>	* @param m the matrix
531	>	*/
532	>	template<typename Real, unsigned int Row, unsigned int Col>
533	>	inline Vector<Real, Col> operator *(const Vector<Real, Row>& v, const RectMatrix<Real, Row, Col>& m) {
534	>	Vector<Real, Row> result;
535	>
536	>	for (unsigned int i = 0; i < Col ; i++)
537	>	for (unsigned int j = 0; j < Row ; j++)
538	>	result[i] += v[j] * m(j, i);
539	>
540	>	return result;
541	>	}
542
543	<	result.div(s, m);
543	>	/**
544	>	* Return the scalar division of matrix   (m / s).
545	>	* @return the scalar division of matrix
546	>	* @param m the matrix
547	>	* @param s the scalar
548	>	*/
549	>	template<typename Real, unsigned int Row, unsigned int Col>
550	>	inline RectMatrix<Real, Row, Col> operator /(const RectMatrix<Real, Row, Col>& m, Real s) {
551	>	RectMatrix<Real, Row, Col> result;
552
553	<	return result;
554	<	}
553	>	result.div(s, m);
554	>
555	>	return result;
556	>	}
557	>
558	>
559	>	/**
560	>	* Returns the vector (cross) product of two matrices.  This
561	>	* operation is defined in:
562	>	*
563	>	* W. Smith, "Point Multipoles in the Ewald Summation (Revisited),"
564	>	* CCP5 Newsletter No 46., pp. 18-30.
565	>	*
566	>	* Equation 21 defines:
567	>	* V_alpha = \sum_\beta [ A_{\alpha+1,\beta} * B_{\alpha+2,\beta}
568	>	-A_{\alpha+2,\beta} * B_{\alpha+2,\beta} ]
569	>	* where \alpha+1 and \alpha+2 are regarded as cyclic permuations of the
570	>	* matrix indices (i.e. for a 3x3 matrix, when \alpha = 2, \alpha + 1 = 3,
571	>	* and \alpha + 2 = 1).
572	>	*
573	>	* @param t1 first matrix
574	>	* @param t2 second matrix
575	>	* @return the cross product (vector product) of t1 and t2
576	>	*/
577	>	template<typename Real, unsigned int Row, unsigned int Col>
578	>	inline Vector<Real, Row> cross( const RectMatrix<Real, Row, Col>& t1, const RectMatrix<Real, Row, Col>& t2 ) {
579	>	Vector<Real, Row> result;
580	>	unsigned int i1;
581	>	unsigned int i2;
582	>
583	>	for (unsigned int i = 0; i < Row; i++) {
584	>	i1 = (i+1)%Row;
585	>	i2 = (i+2)%Row;
586	>
587	>	for (unsigned int j =0; j < Col; j++) {
588	>	result[i] = t1(i1,j) * t2(i2,j) - t1(i2,j) * t2(i1,j);
589	>	}
590	>	}
591	>
592	>	return result;
593	>	}
594	>
595	>
596	>	/**
597	>	* Write to an output stream
598	>	*/
599	>	template<typename Real,  unsigned int Row, unsigned int Col>
600	>	std::ostream &operator<< ( std::ostream& o, const RectMatrix<Real, Row, Col>& m) {
601	>	for (unsigned int i = 0; i < Row ; i++) {
602	>	o << "(";
603	>	for (unsigned int j = 0; j < Col ; j++) {
604	>	o << m(i, j);
605	>	if (j != Col -1)
606	>	o << "\t";
607	>	}
608	>	o << ")" << std::endl;
609	>	}
610	>	return o;
611	>	}
612		}
613		#endif //MATH_RECTMATRIX_HPP

Comparing:
trunk/src/math/RectMatrix.hpp (property svn:keywords), Revision 74 by tim, Wed Oct 13 23:53:40 2004 UTC vs.
branches/development/src/math/RectMatrix.hpp (property svn:keywords), Revision 1787 by gezelter, Wed Aug 29 18:13:11 2012 UTC

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