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
|
/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
/*
* This file is part of the LibreOffice project.
*
* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/.
*
* This file incorporates work covered by the following license notice:
*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed
* with this work for additional information regarding copyright
* ownership. The ASF licenses this file to you under the Apache
* License, Version 2.0 (the "License"); you may not use this file
* except in compliance with the License. You may obtain a copy of
* the License at http://www.apache.org/licenses/LICENSE-2.0 .
*/
#ifndef INCLUDED_BASEGFX_VECTOR_B2DVECTOR_HXX
#define INCLUDED_BASEGFX_VECTOR_B2DVECTOR_HXX
#include <basegfx/tuple/b2dtuple.hxx>
#include <basegfx/vector/b2ivector.hxx>
#include <basegfx/vector/b2enums.hxx>
#include <basegfx/basegfxdllapi.h>
namespace basegfx
{
// predeclaration
class B2DHomMatrix;
/** Base Point class with two double values
This class derives all operators and common handling for
a 2D data class from B2DTuple. All necessary extensions
which are special for 2D Vectors are added here.
@see B2DTuple
*/
class BASEGFX_DLLPUBLIC B2DVector : public ::basegfx::B2DTuple
{
public:
/** Create a 2D Vector
The vector is initialized to (0.0, 0.0)
*/
B2DVector()
: B2DTuple()
{}
/** Create a 2D Vector
@param fX
This parameter is used to initialize the X-coordinate
of the 2D Vector.
@param fY
This parameter is used to initialize the Y-coordinate
of the 2D Vector.
*/
B2DVector(double fX, double fY)
: B2DTuple(fX, fY)
{}
/** Create a copy of a 2D Vector
@param rVec
The 2D Vector which will be copied.
*/
B2DVector(const B2DVector& rVec)
: B2DTuple(rVec)
{}
/** Create a copy of a 2D Vector
@param rVec
The 2D Vector which will be copied.
*/
explicit B2DVector(const ::basegfx::B2IVector& rVec)
: B2DTuple(rVec)
{}
/** constructor with tuple to allow copy-constructing
from B2DTuple-based classes
*/
B2DVector(const ::basegfx::B2DTuple& rTuple)
: B2DTuple(rTuple)
{}
~B2DVector()
{}
/** *=operator to allow usage from B2DVector, too
*/
B2DVector& operator*=( const B2DVector& rPnt )
{
mfX *= rPnt.mfX;
mfY *= rPnt.mfY;
return *this;
}
/** *=operator to allow usage from B2DVector, too
*/
B2DVector& operator*=(double t)
{
mfX *= t;
mfY *= t;
return *this;
}
/** assignment operator to allow assigning the results
of B2DTuple calculations
*/
B2DVector& operator=( const ::basegfx::B2DTuple& rVec );
/** Calculate the length of this 2D Vector
@return The Length of the 2D Vector
*/
double getLength() const;
/** Set the length of this 2D Vector
@param fLen
The to be achieved length of the 2D Vector
*/
B2DVector& setLength(double fLen);
/** Normalize this 2D Vector
The length of the 2D Vector is set to 1.0
*/
B2DVector& normalize();
/** Calculate the Scalar with another 2D Vector
@param rVec
The second 2D Vector
@return
The Scalar value of the two involved 2D Vectors
*/
double scalar( const B2DVector& rVec ) const;
/** Calculate the length of the cross product with another 2D Vector
In 2D, returning an actual vector does not make much
sense here. The magnitude, although, can be readily
used for tasks such as angle calculations, since for
the returned value, the following equation holds:
retVal = getLength(this)*getLength(rVec)*sin(theta),
with theta being the angle between the two vectors.
@param rVec
The second 2D Vector
@return
The length of the cross product of the two involved 2D Vectors
*/
double cross( const B2DVector& rVec ) const;
/** Calculate the Angle with another 2D Vector
@param rVec
The second 2D Vector
@return
The Angle value of the two involved 2D Vectors in -pi/2 < return < pi/2
*/
double angle( const B2DVector& rVec ) const;
/** Transform vector by given transformation matrix.
Since this is a vector, translational components of the
matrix are disregarded.
*/
B2DVector& operator*=( const B2DHomMatrix& rMat );
static const B2DVector& getEmptyVector();
};
// external operators
/** Calculate the orientation to another 2D Vector
@param rVecA
The first 2D Vector
@param rVecB
The second 2D Vector
@return
The mathematical Orientation of the two involved 2D Vectors
*/
BASEGFX_DLLPUBLIC B2VectorOrientation getOrientation( const B2DVector& rVecA, const B2DVector& rVecB );
/** Calculate a perpendicular 2D Vector to the given one
@param rVec
The source 2D Vector
@attention This only works if the given 2D Vector is normalized.
@return
A 2D Vector perpendicular to the one given in parameter rVec
*/
BASEGFX_DLLPUBLIC B2DVector getPerpendicular( const B2DVector& rNormalizedVec );
/** Calculate a perpendicular 2D Vector to the given one,
normalize the given one as preparation
@param rVec
The source 2D Vector
@return
A normalized 2D Vector perpendicular to the one given in parameter rVec
*/
BASEGFX_DLLPUBLIC B2DVector getNormalizedPerpendicular( const B2DVector& rVec );
/** Test two vectors which need not to be normalized for parallelism
@param rVecA
The first 2D Vector
@param rVecB
The second 2D Vector
@return
bool if the two values are parallel. Also true if
one of the vectors is empty.
*/
BASEGFX_DLLPUBLIC bool areParallel( const B2DVector& rVecA, const B2DVector& rVecB );
/** Transform vector by given transformation matrix.
Since this is a vector, translational components of the
matrix are disregarded.
*/
BASEGFX_DLLPUBLIC B2DVector operator*( const B2DHomMatrix& rMat, const B2DVector& rVec );
/** Test continuity between given vectors.
The two given vectors are assumed to describe control points on a
common point. Calculate if there is a continuity between them.
*/
BASEGFX_DLLPUBLIC B2VectorContinuity getContinuity( const B2DVector& rBackVector, const B2DVector& rForwardVector );
} // end of namespace basegfx
#endif // INCLUDED_BASEGFX_VECTOR_B2DVECTOR_HXX
/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
|