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
|
/* -*- 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 .
*/
#pragma once
#include <basegfx/tuple/b3dtuple.hxx>
#include <basegfx/basegfxdllapi.h>
namespace basegfx
{
class B3DHomMatrix;
/** Base Point class with three double values
This class derives all operators and common handling for
a 3D data class from B3DTuple. All necessary extensions
which are special for 3D Vectors are added here.
@see B3DTuple
*/
class SAL_WARN_UNUSED BASEGFX_DLLPUBLIC B3DVector : public ::basegfx::B3DTuple
{
public:
/** Create a 3D Vector
The vector is initialized to (0.0, 0.0, 0.0)
*/
B3DVector()
{}
/** Create a 3D Vector
@param fX
This parameter is used to initialize the X-coordinate
of the 3D Vector.
@param fY
This parameter is used to initialize the Y-coordinate
of the 3D Vector.
@param fZ
This parameter is used to initialize the Z-coordinate
of the 3D Vector.
*/
B3DVector(double fX, double fY, double fZ)
: B3DTuple(fX, fY, fZ)
{}
/** constructor with tuple to allow copy-constructing
from B3DTuple-based classes
*/
B3DVector(const ::basegfx::B3DTuple& rTuple)
: B3DTuple(rTuple)
{}
/** *=operator to allow usage from B3DVector, too
*/
B3DVector& operator*=( const B3DVector& rPnt )
{
mnX *= rPnt.mnX;
mnY *= rPnt.mnY;
mnZ *= rPnt.mnZ;
return *this;
}
/** *=operator to allow usage from B3DVector, too
*/
B3DVector& operator*=(double t)
{
mnX *= t;
mnY *= t;
mnZ *= t;
return *this;
}
/** assignment operator to allow assigning the results
of B3DTuple calculations
*/
B3DVector& operator=( const ::basegfx::B3DTuple& rVec )
{
mnX = rVec.getX();
mnY = rVec.getY();
mnZ = rVec.getZ();
return *this;
}
/** Calculate the length of this 3D Vector
@return The Length of the 3D Vector
*/
double getLength() const
{
double fLen(scalar(*this));
if((0.0 == fLen) || (1.0 == fLen))
return fLen;
return sqrt(fLen);
}
/** Calculate the length in the XZ-Plane for this 3D Vector
@return The XZ-Plane Length of the 3D Vector
*/
double getXZLength() const
{
double fLen((mnX * mnX) + (mnZ * mnZ)); // #i73040#
if((0.0 == fLen) || (1.0 == fLen))
return fLen;
return sqrt(fLen);
}
/** Calculate the length in the YZ-Plane for this 3D Vector
@return The YZ-Plane Length of the 3D Vector
*/
double getYZLength() const
{
double fLen((mnY * mnY) + (mnZ * mnZ));
if((0.0 == fLen) || (1.0 == fLen))
return fLen;
return sqrt(fLen);
}
/** Set the length of this 3D Vector
@param fLen
The to be achieved length of the 3D Vector
*/
B3DVector& setLength(double fLen)
{
double fLenNow(scalar(*this));
if(!::basegfx::fTools::equalZero(fLenNow))
{
const double fOne(1.0);
if(!::basegfx::fTools::equal(fOne, fLenNow))
{
fLen /= sqrt(fLenNow);
}
mnX *= fLen;
mnY *= fLen;
mnZ *= fLen;
}
return *this;
}
/** Normalize this 3D Vector
The length of the 3D Vector is set to 1.0
*/
B3DVector& normalize();
/** get a 3D Vector which is perpendicular to this and a given 3D Vector
@attention This only works if this and the given 3D Vector are
both normalized.
@param rNormalizedVec
A normalized 3D Vector.
@return
A 3D Vector perpendicular to this and the given one
*/
B3DVector getPerpendicular(const B3DVector& rNormalizedVec) const;
/** Calculate the Scalar product
This method calculates the Scalar product between this
and the given 3D Vector.
@param rVec
A second 3D Vector.
@return
The Scalar Product of two 3D Vectors
*/
double scalar(const B3DVector& rVec) const
{
return ((mnX * rVec.mnX) + (mnY * rVec.mnY) + (mnZ * rVec.mnZ));
}
/** Transform vector by given transformation matrix.
Since this is a vector, translational components of the
matrix are disregarded.
*/
B3DVector& operator*=( const B3DHomMatrix& rMat );
static const B3DVector& getEmptyVector()
{
return static_cast<const B3DVector&>( ::basegfx::B3DTuple::getEmptyTuple() );
}
};
// external operators
/** Test two vectors which need not to be normalized for parallelism
@param rVecA
The first 3D Vector
@param rVecB
The second 3D Vector
@return
bool if the two values are parallel. Also true if
one of the vectors is empty.
*/
BASEGFX_DLLPUBLIC bool areParallel( const B3DVector& rVecA, const B3DVector& rVecB );
/** Transform vector by given transformation matrix.
Since this is a vector, translational components of the
matrix are disregarded.
*/
BASEGFX_DLLPUBLIC B3DVector operator*( const B3DHomMatrix& rMat, const B3DVector& rVec );
/** Calculate the Cross Product of two 3D Vectors
@param rVecA
A first 3D Vector.
@param rVecB
A second 3D Vector.
@return
The Cross Product of both 3D Vectors
*/
inline B3DVector cross(const B3DVector& rVecA, const B3DVector& rVecB)
{
B3DVector aVec(
rVecA.getY() * rVecB.getZ() - rVecA.getZ() * rVecB.getY(),
rVecA.getZ() * rVecB.getX() - rVecA.getX() * rVecB.getZ(),
rVecA.getX() * rVecB.getY() - rVecA.getY() * rVecB.getX());
return aVec;
}
} // end of namespace basegfx
/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
|
