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trunk/src/math/RectMatrix.hpp (file contents), Revision 101 by tim, Mon Oct 18 23:13:23 2004 UTC vs.
branches/development/src/math/RectMatrix.hpp (file contents), Revision 1808 by gezelter, Mon Oct 22 20:42:10 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 {
56	>	namespace OpenMD {
57
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:
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	<	/** default constructor */
76	<	RectMatrix() {
77	<	for (unsigned int i = 0; i < Row; i++)
78	<	for (unsigned int j = 0; j < Col; j++)
79	<	data_[i][j] = 0.0;
80	<	}
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	<	/** Constructs and initializes every element of this matrix to a scalar */
83	<	RectMatrix(Real s) {
84	<	for (unsigned int i = 0; i < Row; i++)
85	<	for (unsigned int j = 0; j < Col; j++)
86	<	data_[i][j] = s;
62	<	}
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	<	}
68	<
69	<	/** destructor*/
70	<	~RectMatrix() {}
71	<
72	<	/** copy assignment operator */
73	<	RectMatrix<Real, Row, Col>& operator =(const RectMatrix<Real, Row, Col>& m) {
74	<	if (this == &m)
75	<	return *this;
88	>	/** copy constructor */
89	>	RectMatrix(const RectMatrix<Real, Row, Col>& m) {
90	>	*this = m;
91	>	}
92
93	<	for (unsigned int i = 0; i < Row; i++)
94	<	for (unsigned int j = 0; j < Col; j++)
79	<	data_[i][j] = m.data_[i][j];
80	<	return *this;
81	<	}
82	<
83	<	/**
84	<	* Return the reference of a single element of this matrix.
85	<	* @return the reference of a single element of this matrix
86	<	* @param i row index
87	<	* @param j colum index
88	<	*/
89	<	double& operator()(unsigned int i, unsigned int j) {
90	<	//assert( i < Row && j < Col);
91	<	return data_[i][j];
92	<	}
93	>	/** destructor*/
94	>	~RectMatrix() {}
95
96	<	/**
97	<	* Return the value of a single element of this matrix.
98	<	* @return the value of a single element of this matrix
99	<	* @param i row index
100	<	* @param j colum index
101	<	*/
102	<	double operator()(unsigned int i, unsigned int j) const  {
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	<	return data_[i][j];
108	<	}
107	>	/**
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	>	Real& operator()(unsigned int i, unsigned int j) {
114	>	//assert( i < Row && j < Col);
115	>	return this->data_[i][j];
116	>	}
117
118	<	/**
119	<	* Returns a row of  this matrix as a vector.
120	<	* @return a row of  this matrix as a vector
121	<	* @param row the row index
122	<	*/
123	<	Vector<Real, Row> getRow(unsigned int row) {
124	<	Vector<Real, Row> v;
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	<	for (unsigned int i = 0; i < Row; i++)
130	<	v[i] = data_[row][i];
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
116	–	return v;
117	–	}
141
142	<	/**
143	<	* Sets a row of  this matrix
144	<	* @param row the row index
145	<	* @param v the vector to be set
123	<	*/
124	<	void setRow(unsigned int row, const Vector<Real, Row>& v) {
142	>	/** Returns the pointer of internal array */
143	>	Real* getArrayPointer() {
144	>	return &this->data_[0][0];
145	>	}
146
147	<	for (unsigned int i = 0; i < Row; i++)
148	<	data_[row][i] = v[i];
149	<	}
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 column of  this matrix as a vector.
132	<	* @return a column of  this matrix as a vector
133	<	* @param col the column index
134	<	*/
135	<	Vector<Real, Col> getColum(unsigned int col) {
136	<	Vector<Real, Col> v;
155	>	for (unsigned int i = 0; i < Col; i++)
156	>	v[i] = this->data_[row][i];
157
158	<	for (unsigned int j = 0; j < Col; j++)
159	<	v[j] = data_[j][col];
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 column of  this matrix
170	<	* @param col the column index
147	<	* @param v the vector to be set
148	<	*/
149	<	void setColum(unsigned int col, const Vector<Real, Col>& v){
168	>	for (unsigned int i = 0; i < Col; i++)
169	>	this->data_[row][i] = v[i];
170	>	}
171
172	<	for (unsigned int j = 0; j < Col; j++)
173	<	data_[j][col] = v[j];
174	<	}
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	<	/**
181	<	* swap two rows of this matrix
157	<	* @param i the first row
158	<	* @param j the second row
159	<	*/
160	<	void swapRow(unsigned int i, unsigned int j){
161	<	assert(i < Row && j < Row);
180	>	for (unsigned int j = 0; j < Row; j++)
181	>	v[j] = this->data_[j][col];
182
183	<	for (unsigned int k = 0; k < Col; k++)
184	<	std::swap(data_[i][k], data_[j][k]);
165	<	}
183	>	return v;
184	>	}
185
186	<	/**
187	<	* swap two colums of this matrix
188	<	* @param i the first colum
189	<	* @param j the second colum
190	<	*/
191	<	void swapColum(unsigned int i, unsigned int j){
173	<	assert(i < Col && j < Col);
174	<
175	<	for (unsigned int k = 0; k < Row; k++)
176	<	std::swap(data_[k][i], data_[k][j]);
177	<	}
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	<	/**
194	<	* Tests if this matrix is identical to matrix m
195	<	* @return true if this matrix is equal to the matrix m, return false otherwise
182	<	* @m matrix to be compared
183	<	*
184	<	* @todo replace operator == by template function equal
185	<	*/
186	<	bool operator ==(const RectMatrix<Real, Row, Col>& m) {
187	<	for (unsigned int i = 0; i < Row; i++)
188	<	for (unsigned int j = 0; j < Col; j++)
189	<	if (!equal(data_[i][j], m.data_[i][j]))
190	<	return false;
193	>	for (unsigned int j = 0; j < Row; j++)
194	>	this->data_[j][col] = v[j];
195	>	}
196
197	<	return true;
198	<	}
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	<	/**
206	<	* Tests if this matrix is not equal to matrix m
207	<	* @return true if this matrix is not equal to the matrix m, return false otherwise
198	<	* @m matrix to be compared
199	<	*/
200	<	bool operator !=(const RectMatrix<Real, Row, Col>& m) {
201	<	return !(*this == m);
202	<	}
205	>	for (unsigned int k = 0; k < Col; k++)
206	>	std::swap(this->data_[i][k], this->data_[j][k]);
207	>	}
208
209	<	/** Negates the value of this matrix in place. */
210	<	inline void negate() {
211	<	for (unsigned int i = 0; i < Row; i++)
212	<	for (unsigned int j = 0; j < Col; j++)
213	<	data_[i][j] = -data_[i][j];
214	<	}
215	<
216	<	/**
217	<	* Sets the value of this matrix to the negation of matrix m.
218	<	* @param m the source matrix
219	<	*/
215	<	inline void negate(const RectMatrix<Real, Row, Col>& m) {
216	<	for (unsigned int i = 0; i < Row; i++)
217	<	for (unsigned int j = 0; j < Col; j++)
218	<	data_[i][j] = -m.data_[i][j];
219	<	}
220	<
221	<	/**
222	<	* Sets the value of this matrix to the sum of itself and m (*this += m).
223	<	* @param m the other matrix
224	<	*/
225	<	inline void add( const RectMatrix<Real, Row, Col>& m ) {
226	<	for (unsigned int i = 0; i < Row; i++)
227	<	for (unsigned int j = 0; j < Col; j++)
228	<	data_[i][j] += m.data_[i][j];
229	<	}
230	<
231	<	/**
232	<	* Sets the value of this matrix to the sum of m1 and m2 (*this = m1 + m2).
233	<	* @param m1 the first matrix
234	<	* @param m2 the second matrix
235	<	*/
236	<	inline void add( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2 ) {
237	<	for (unsigned int i = 0; i < Row; i++)
238	<	for (unsigned int j = 0; j < Col; j++)
239	<	data_[i][j] = m1.data_[i][j] + m2.data_[i][j];
240	<	}
241	<
242	<	/**
243	<	* Sets the value of this matrix to the difference  of itself and m (*this -= m).
244	<	* @param m the other matrix
245	<	*/
246	<	inline void sub( const RectMatrix<Real, Row, Col>& m ) {
247	<	for (unsigned int i = 0; i < Row; i++)
248	<	for (unsigned int j = 0; j < Col; j++)
249	<	data_[i][j] -= m.data_[i][j];
250	<	}
251	<
252	<	/**
253	<	* Sets the value of this matrix to the difference of matrix m1 and m2 (*this = m1 - m2).
254	<	* @param m1 the first matrix
255	<	* @param m2 the second matrix
256	<	*/
257	<	inline void sub( const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2){
258	<	for (unsigned int i = 0; i < Row; i++)
259	<	for (unsigned int j = 0; j < Col; j++)
260	<	data_[i][j] = m1.data_[i][j] - m2.data_[i][j];
261	<	}
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	<	/**
222	<	* Sets the value of this matrix to the scalar multiplication of itself (*this *= s).
223	<	* @param s the scalar value
224	<	*/
225	<	inline void mul( double s ) {
226	<	for (unsigned int i = 0; i < Row; i++)
227	<	for (unsigned int j = 0; j < Col; j++)
228	<	data_[i][j] *= s;
229	<	}
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	>	* @param 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 matrix m  (*this = s * m).
275	<	* @param s the scalar value
276	<	* @param m the matrix
277	<	*/
278	<	inline void mul( double s, const RectMatrix<Real, Row, Col>& m ) {
279	<	for (unsigned int i = 0; i < Row; i++)
280	<	for (unsigned int j = 0; j < Col; j++)
281	<	data_[i][j] = s * m.data_[i][j];
282	<	}
234	>	return true;
235	>	}
236
237	<	/**
238	<	* Sets the value of this matrix to the scalar division of itself  (*this /= s ).
239	<	* @param s the scalar value
240	<	*/
241	<	inline void div( double s) {
242	<	for (unsigned int i = 0; i < Row; i++)
243	<	for (unsigned int j = 0; j < Col; j++)
244	<	data_[i][j] /= s;
292	<	}
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	>	* @param 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 matrix m  (*this = m /s).
248	<	* @param s the scalar value
249	<	* @param m the matrix
250	<	*/
299	<	inline void div( double s, const RectMatrix<Real, Row, Col>& m ) {
300	<	for (unsigned int i = 0; i < Row; i++)
301	<	for (unsigned int j = 0; j < Col; j++)
302	<	data_[i][j] = m.data_[i][j] / s;
303	<	}
304	<
305	<	/**
306	<	*  Multiples a scalar into every element of this matrix.
307	<	* @param s the scalar value
308	<	*/
309	<	RectMatrix<Real, Row, Col>& operator *=(const double s) {
310	<	this->mul(s);
311	<	return *this;
312	<	}
313	<
314	<	/**
315	<	*  Divides every element of this matrix by a scalar.
316	<	* @param s the scalar value
317	<	*/
318	<	RectMatrix<Real, Row, Col>& operator /=(const double s) {
319	<	this->div(s);
320	<	return *this;
321	<	}
322	<
323	<	/**
324	<	* Sets the value of this matrix to the sum of the other matrix and itself (*this += m).
325	<	* @param m the other matrix
326	<	*/
327	<	RectMatrix<Real, Row, Col>& operator += (const RectMatrix<Real, Row, Col>& m) {
328	<	add(m);
329	<	return *this;
330	<	}
331	<
332	<	/**
333	<	* Sets the value of this matrix to the differerence of itself and the other matrix (*this -= m)
334	<	* @param m the other matrix
335	<	*/
336	<	RectMatrix<Real, Row, Col>& operator -= (const RectMatrix<Real, Row, Col>& m){
337	<	sub(m);
338	<	return *this;
339	<	}
340	<
341	<	/** Return the transpose of this matrix */
342	<	RectMatrix<Real,  Col, Row> transpose(){
343	<	RectMatrix<Real,  Col, Row> result;
344	<
345	<	for (unsigned int i = 0; i < Row; i++)
346	<	for (unsigned int j = 0; j < Col; j++)
347	<	result(j, i) = data_[i][j];
348	<
349	<	return result;
350	<	}
351	<
352	<	protected:
353	<	Real data_[Row][Col];
354	<	};
355	<
356	<	/** Negate the value of every element of this matrix. */
357	<	template<typename Real, unsigned int Row, unsigned int Col>
358	<	inline RectMatrix<Real, Row, Col> operator -(const RectMatrix<Real, Row, Col>& m) {
359	<	RectMatrix<Real, Row, Col> result(m);
360	<
361	<	result.negate();
362	<
363	<	return result;
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	<
252	>
253		/**
254	<	* Return the sum of two matrixes  (m1 + m2).
255	<	* @return the sum of two matrixes
256	<	* @param m1 the first matrix
257	<	* @param m2 the second matrix
258	<	*/
259	<	template<typename Real, unsigned int Row, unsigned int Col>
260	<	inline RectMatrix<Real, Row, Col> operator + (const RectMatrix<Real, Row, Col>& m1,const RectMatrix<Real, Row, Col>& m2) {
261	<	RectMatrix<Real, Row, Col> result;
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	<	result.add(m1, m2);
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	<	return result;
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	<
325	>
326		/**
327	<	* Return the difference of two matrixes  (m1 - m2).
328	<	* @return the sum of two matrixes
329	<	* @param m1 the first matrix
330	<	* @param m2 the second matrix
331	<	*/
332	<	template<typename Real, unsigned int Row, unsigned int Col>
333	<	inline RectMatrix<Real, Row, Col> operator - (const RectMatrix<Real, Row, Col>& m1, const RectMatrix<Real, Row, Col>& m2) {
334	<	RectMatrix<Real, Row, Col> result;
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	<	result.sub(m1, m2);
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
347	<	return result;
347	>	/**
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		/**
357	<	* Return the multiplication of scalra and  matrix  (m * s).
358	<	* @return the multiplication of a scalra and  a matrix
359	<	* @param m the matrix
360	<	* @param s the scalar
361	<	*/
362	<	template<typename Real, unsigned int Row, unsigned int Col>
363	<	inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, Col>& m, Real s) {
404	<	RectMatrix<Real, Row, Col> result;
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	<	result.mul(s, m);
366	<
367	<	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
374		/**
375	<	* Return the multiplication of a scalra and  a matrix  (s * m).
376	<	* @return the multiplication of a scalra and  a matrix
377	<	* @param s the scalar
378	<	* @param m the matrix
379	<	*/
380	<	template<typename Real, unsigned int Row, unsigned int Col>
381	<	inline RectMatrix<Real, Row, Col> operator *(Real s, const RectMatrix<Real, Row, Col>& m) {
419	<	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.mul(s, m);
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		}
425	–
426	–	/**
427	–	* Return the multiplication of two matrixes  (m1 * m2).
428	–	* @return the multiplication of two matrixes
429	–	* @param m1 the first matrix
430	–	* @param m2 the second matrix
431	–	*/
432	–	template<typename Real, unsigned int Row, unsigned int Col, unsigned int SameDim>
433	–	inline RectMatrix<Real, Row, Col> operator *(const RectMatrix<Real, Row, SameDim>& m1, const RectMatrix<Real, SameDim, Col>& m2) {
434	–	RectMatrix<Real, Row, Col> result;
393
394	<	for (unsigned int i = 0; i < Row; i++)
395	<	for (unsigned int j = 0; j < Col; j++)
396	<	for (unsigned int k = 0; k < SameDim; k++)
397	<	result(i, j)  += m1(i, k) * m2(k, j);
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	<	return result;
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		}
443	–
444	–	/**
445	–	* Return the multiplication of  a matrix and a vector  (m * v).
446	–	* @return the multiplication of a matrix and a vector
447	–	* @param m the matrix
448	–	* @param v the vector
449	–	*/
450	–	template<typename Real, unsigned int Row, unsigned int Col>
451	–	inline Vector<Real, Row> operator *(const RectMatrix<Real, Row, Col>& m, const Vector<Real, Col>& v) {
452	–	Vector<Real, Row> result;
403
404	<	for (unsigned int i = 0; i < Row ; i++)
405	<	for (unsigned int j = 0; j < Col ; j++)
406	<	result[i] += m(i, j) * v[j];
407	<
408	<	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 scalar division of matrix   (m / s).
419	<	* @return the scalar division of 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;
417	>	protected:
418	>	Real data_[Row][Col];
419	>	};
420
421	<	result.div(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;
474	<	}
426	>	result.negate();
427
428	<	/**
429	<	* Write to an output stream
430	<	*/
431	<	template<typename Real,  unsigned int Row, unsigned int Col>
432	<	std::ostream &operator<< ( std::ostream& o, const RectMatrix<Real, Row, Col>& m) {
433	<	for (unsigned int i = 0; i < Row ; i++) {
434	<	o << "("
435	<	for (unsigned int j = 0; j < Col ; j++) {
436	<	o << m(i, j) << "\t"
437	<	}
438	<	o << ")" << std::endl;
439	<	}
440	<	return o;
441	<	}
428	>	return result;
429	>	}
430	>
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	>	result.add(m1, m2);
442	>
443	>	return result;
444	>	}
445	>
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	>	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	>	}
525	>
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	>	/**
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	>	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	>	* \f[
568	>	* V_alpha = \sum_\beta \left[ A_{\alpha+1,\beta} * B_{\alpha+2,\beta}
569	>	-A_{\alpha+2,\beta} * B_{\alpha+2,\beta} \right]
570	>	* \f]
571	>	* where \f[\alpha+1\f] and \f[\alpha+2\f] are regarded as cyclic permuations of the
572	>	* matrix indices (i.e. for a 3x3 matrix, when \f[\alpha = 2\f], \f[\alpha + 1 = 3 \f],
573	>	* and \f[\alpha + 2 = 1 \f] ).
574	>	*
575	>	* @param t1 first matrix
576	>	* @param t2 second matrix
577	>	* @return the cross product (vector product) of t1 and t2
578	>	*/
579	>	template<typename Real, unsigned int Row, unsigned int Col>
580	>	inline Vector<Real, Row> cross( const RectMatrix<Real, Row, Col>& t1, const RectMatrix<Real, Row, Col>& t2 ) {
581	>	Vector<Real, Row> result;
582	>	unsigned int i1;
583	>	unsigned int i2;
584	>
585	>	for (unsigned int i = 0; i < Row; i++) {
586	>	i1 = (i+1)%Row;
587	>	i2 = (i+2)%Row;
588	>
589	>	for (unsigned int j =0; j < Col; j++) {
590	>	result[i] = t1(i1,j) * t2(i2,j) - t1(i2,j) * t2(i1,j);
591	>	}
592	>	}
593	>
594	>	return result;
595	>	}
596	>
597	>
598	>	/**
599	>	* Write to an output stream
600	>	*/
601	>	template<typename Real,  unsigned int Row, unsigned int Col>
602	>	std::ostream &operator<< ( std::ostream& o, const RectMatrix<Real, Row, Col>& m) {
603	>	for (unsigned int i = 0; i < Row ; i++) {
604	>	o << "(";
605	>	for (unsigned int j = 0; j < Col ; j++) {
606	>	o << m(i, j);
607	>	if (j != Col -1)
608	>	o << "\t";
609	>	}
610	>	o << ")" << std::endl;
611	>	}
612	>	return o;
613	>	}
614		}
615		#endif //MATH_RECTMATRIX_HPP

Comparing:
trunk/src/math/RectMatrix.hpp (property svn:keywords), Revision 101 by tim, Mon Oct 18 23:13:23 2004 UTC vs.
branches/development/src/math/RectMatrix.hpp (property svn:keywords), Revision 1808 by gezelter, Mon Oct 22 20:42:10 2012 UTC

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