1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
|
/*
**************************************************************************
description
--------------------
copyright : (C) 2000-2001 by Andreas Zehender
email : zehender@kde.org
**************************************************************************
**************************************************************************
* *
* This program is free software; you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation; either version 2 of the License, or *
* (at your option) any later version. *
* *
**************************************************************************/
#ifndef PMVECTOR_H
#define PMVECTOR_H
#include <tqmemarray.h>
#include <tqstring.h>
class PMMatrix;
/**
* Class for vectors with variable size
*/
class PMVector
{
public:
/**
* Creates a vector with size s. All values are set to 0
*/
PMVector( unsigned int s );
/**
* Creates a vector with size 3. All values are set to 0
*/
PMVector( );
/**
* Creates a vector with coordinates [x,y]
*/
PMVector( const double x, const double y );
/**
* Creates a vector with coordinates [x,y,z]
*/
PMVector( const double x, const double y, const double z );
/**
* Creates a vector with coordinates [x,y,z,t]
*/
PMVector( const double x, const double y, const double z, const double t );
/**
* Copy constructor. Creates a deep copy.
*/
PMVector( const PMVector& v );
/**
* Deletes the vector
*/
~PMVector( );
/**
* Returns the size of the vector
*/
unsigned int size( ) const { return m_size; }
/**
* Resizes the vector. New elements are initialized with 0
*/
void resize( unsigned int size );
/**
* Returns a reference to a coordinate, 0:x, 1:y, 2:z
*/
double& operator[] ( int index );
/**
* Returns a reference to a coordinate, 0:x, 1:y, 2:z
*/
const double& operator[] ( int index ) const;
/**
* Returns the x coordinate
*/
double x( ) const { return (*this)[0]; }
/**
* Returns the y coordinate
*/
double y( ) const { return (*this)[1]; }
/**
* Returns the z coordinate
*/
double z( ) const { return (*this)[2]; }
/**
* Returns the t coordinate
*/
double t( ) const { return (*this)[3]; }
/**
* Sets the x coordinate
*/
void setX( const double d ) { (*this)[0] = d; }
/**
* Sets the y coordinate
*/
void setY( const double d ) { (*this)[1] = d; }
/**
* Sets the z coordinate
*/
void setZ( const double d ) { (*this)[2] = d; }
/**
* Sets the x coordinate
*/
void setT( const double d ) { (*this)[3] = d; }
/**
* Transforms the point with the matrix m. Same as p = m * p
*
* size must be 3!
*/
void transform( const PMMatrix& m );
/**
* Assigns p to the vector. Resizes the vector if necessary.
*/
PMVector& operator= ( const PMVector& p );
/**
* Sets all values to d
*/
PMVector& operator= ( const double d );
/**
* Multiplies all coordinates with d
*/
PMVector& operator*= ( double d );
/**
* Divides all coordinates through d
*/
PMVector& operator/= ( double d );
/**
* Adds d to all coordinates
*/
PMVector& operator+= ( double d );
/**
* Subtracts d from all coordinates
*/
PMVector& operator-= ( double d );
/**
* Multiplies the vectors (<x1*x2, y1*y2, z1*z2> ...)
*/
PMVector& operator*= ( const PMVector& p );
/**
* Divides the vectors (<x1/x2, y1/y2, z1/z2> ...)
*/
PMVector& operator/= ( const PMVector& p );
/**
* Adds p to the point.
*/
PMVector& operator+= ( const PMVector& p );
/**
* Subtracts p from the point.
*/
PMVector& operator-= ( const PMVector& p );
/**
* Returns a point with negated coordinates
*/
friend PMVector operator- ( const PMVector& p );
/**
* Adds the two points
*/
friend PMVector operator+ ( const PMVector& p1, const PMVector& p2 );
/**
* Subtracts p2 from p1
*/
friend PMVector operator- ( const PMVector& p1, const PMVector& p2 );
/**
* Multiplies all coordinates with d
*/
friend PMVector operator* ( const PMVector& p, const double d );
/**
* Divides all coordinates by d
*/
friend PMVector operator/ ( const PMVector& p, const double d );
/**
* Adds d to all coordinates
*/
friend PMVector operator+ ( const PMVector& p, const double d );
/**
* Subtracts d from all coordinates
*/
friend PMVector operator- ( const PMVector& p, const double d );
/**
* Multiplies all coordinates with d
*/
friend PMVector operator* ( const double d, const PMVector& p );
/**
* Multiplies the vectors (<x1*x2, y1*y2, z1*z2> ...)
*/
friend PMVector operator* ( const PMVector& p1, const PMVector& p2 );
/**
* Divides the vectors (<x1/x2, y1/y2, z1/z2> ...)
*/
friend PMVector operator/ ( const PMVector& p1, const PMVector& p2 );
/**
* Transforms the point p with the matrix m
* @see transform
*/
friend PMVector operator* ( const PMMatrix& m, const PMVector& p );
/**
* Returns true if the vectors have the same size and values
*/
bool operator== ( const PMVector& p ) const;
/**
* Returns false if the vectors have the same size and values
*/
bool operator!= ( const PMVector& p ) const;
/**
* Returns true if the vectors have the same size and values
*/
bool approxEqual( const PMVector& p, double epsilon = 1e-6 ) const;
/**
* Returns the cross product of v1 and v2
*
* Size of v1 and v2 has to be 3!
*/
static PMVector cross( const PMVector& v1, const PMVector& v2 );
/**
* Returns the dot product of v1 and v2
*/
static double dot( const PMVector& v1, const PMVector& v2 );
/**
* Returns the angle between v1 and v2
*
* Size of v1 and v2 has to be 3!
*/
static double angle( const PMVector& v1, const PMVector& v2 );
/**
* Returns the length of the vector
*/
double abs( ) const;
/**
* Returns a normalized vector that is orthogonal to this vector
*/
PMVector orthogonal( ) const;
/**
* Returns a string for serialization
*/
TQString serialize( ) const;
/**
* Returns a string for xml output
*/
TQString serializeXML( ) const;
/**
* loads the vector data from the xml string
*/
bool loadXML( const TQString& str );
private:
void allocateMemory( unsigned int size );
double* m_coord;
static double s_dummy;
unsigned int m_size;
};
#endif
|
