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
275
276
277
278
279
280
281
282
283
|
/*
* $Id$
*
* ***** BEGIN GPL LICENSE BLOCK *****
*
* Copyright 2009-2011 Jörg Hermann Müller
*
* This file is part of AudaSpace.
*
* Audaspace 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.
*
* AudaSpace is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with Audaspace; if not, write to the Free Software Foundation,
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*
* ***** END GPL LICENSE BLOCK *****
*/
/** \file audaspace/intern/AUD_3DMath.h
* \ingroup audaspaceintern
*/
#ifndef AUD_3DMATH
#define AUD_3DMATH
#include <cmath>
class AUD_Vector3
{
private:
union
{
float m_v[3];
struct
{
float m_x;
float m_y;
float m_z;
};
};
public:
/**
* Creates a new 3 dimensional vector.
* \param x The x component.
* \param y The y component.
* \param z The z component.
*/
inline AUD_Vector3(float x = 0, float y = 0, float z = 0) :
m_x(x), m_y(y), m_z(z)
{
}
/**
* Retrieves the x component of the vector.
* \return The x component.
*/
inline const float& x() const
{
return m_x;
}
/**
* Retrieves the y component of the vector.
* \return The y component.
*/
inline const float& y() const
{
return m_y;
}
/**
* Retrieves the z component of the vector.
* \return The z component.
*/
inline const float& z() const
{
return m_z;
}
/**
* Retrieves the components of the vector.
* \param destination Where the 3 float values should be saved to.
*/
inline void get(float* destination) const
{
destination[0] = m_x;
destination[1] = m_y;
destination[2] = m_z;
}
/**
* Retrieves the components of the vector.
* \return The components as float[3].
*/
inline float* get()
{
return m_v;
}
/**
* Retrieves the components of the vector.
* \return The components as float[3].
*/
inline const float* get() const
{
return m_v;
}
/**
* Retrieves the length of the vector.
* \return The length of the vector.
*/
inline float length() const
{
return sqrt(m_x*m_x + m_y*m_y + m_z*m_z);
}
inline AUD_Vector3 cross(const AUD_Vector3& op) const
{
return AUD_Vector3(m_y * op.m_z - m_z * op.m_y,
m_z * op.m_x - m_x * op.m_z,
m_x * op.m_y - m_y * op.m_x);
}
/**
* Retrieves the dot product.
* \param op The second operand.
* \return The dot product of the two vectors.
*/
inline float operator*(const AUD_Vector3& op) const
{
return m_x * op.m_x + m_y * op.m_y + m_z * op.m_z;
}
inline AUD_Vector3 operator*(const float& op) const
{
return AUD_Vector3(m_x * op, m_y * op, m_z * op);
}
inline AUD_Vector3 operator+(const AUD_Vector3& op) const
{
return AUD_Vector3(m_x + op.m_x, m_y + op.m_y, m_z + op.m_z);
}
inline AUD_Vector3 operator-(const AUD_Vector3& op) const
{
return AUD_Vector3(m_x - op.m_x, m_y - op.m_y, m_z - op.m_z);
}
inline AUD_Vector3 operator-() const
{
return AUD_Vector3(-m_x, -m_y, -m_z);
}
inline AUD_Vector3& operator-=(const AUD_Vector3& op)
{
m_x -= op.m_x;
m_y -= op.m_y;
m_z -= op.m_z;
return *this;
}
};
class AUD_Quaternion
{
private:
union
{
float m_v[4];
struct
{
float m_w;
float m_x;
float m_y;
float m_z;
};
};
public:
/**
* Creates a new quaternion.
* \param w The w component.
* \param x The x component.
* \param y The y component.
* \param z The z component.
*/
inline AUD_Quaternion(float w = 1, float x = 0, float y = 0, float z = 0) :
m_w(w), m_x(x), m_y(y), m_z(z)
{
}
/**
* Retrieves the w component of the quarternion.
* \return The w component.
*/
inline const float& w() const
{
return m_w;
}
/**
* Retrieves the x component of the quarternion.
* \return The x component.
*/
inline const float& x() const
{
return m_x;
}
/**
* Retrieves the y component of the quarternion.
* \return The y component.
*/
inline const float& y() const
{
return m_y;
}
/**
* Retrieves the z component of the quarternion.
* \return The z component.
*/
inline const float& z() const
{
return m_z;
}
/**
* Retrieves the components of the vector.
* \param destination Where the 4 float values should be saved to.
*/
inline void get(float* destination) const
{
destination[0] = m_w;
destination[1] = m_x;
destination[2] = m_y;
destination[3] = m_z;
}
/**
* Retrieves the components of the vector.
* \return The components as float[4].
*/
inline float* get()
{
return m_v;
}
/**
* Retrieves the components of the vector.
* \return The components as float[4].
*/
inline const float* get() const
{
return m_v;
}
inline AUD_Vector3 getLookAt() const
{
return AUD_Vector3(-2 * (m_w * m_y + m_x * m_z),
2 * (m_x * m_w - m_z * m_y),
2 * (m_x * m_x + m_y * m_y) - 1);
}
inline AUD_Vector3 getUp() const
{
return AUD_Vector3(2 * (m_x * m_y - m_w * m_z),
1 - 2 * (m_x * m_x + m_z * m_z),
2 * (m_w * m_x + m_y * m_z));
}
};
#endif //AUD_3DMATH
|