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source: code/branches/core3/src/util/Math.h @ 1780

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1/*
2 *   ORXONOX - the hottest 3D action shooter ever to exist
3 *                    > www.orxonox.net <
4 *
5 *
6 *   License notice:
7 *
8 *   This program is free software; you can redistribute it and/or
9 *   modify it under the terms of the GNU General Public License
10 *   as published by the Free Software Foundation; either version 2
11 *   of the License, or (at your option) any later version.
12 *
13 *   This program is distributed in the hope that it will be useful,
14 *   but WITHOUT ANY WARRANTY; without even the implied warranty of
15 *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
16 *   GNU General Public License for more details.
17 *
18 *   You should have received a copy of the GNU General Public License
19 *   along with this program; if not, write to the Free Software
20 *   Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
21 *
22 *   Author:
23 *      Fabian 'x3n' Landau
24 *   Co-authors:
25 *      ...
26 *
27 */
28
29#ifndef _Util_Math_H__
30#define _Util_Math_H__
31
32#include "UtilPrereqs.h"
33
34#include <ostream>
35
36#include <OgreMath.h>
37#include <OgreVector2.h>
38#include <OgreVector3.h>
39#include <OgreVector4.h>
40#include <OgreMatrix3.h>
41#include <OgreQuaternion.h>
42#include <OgreColourValue.h>
43#include "SubString.h"
44
45namespace orxonox
46{
47  typedef Ogre::Radian Radian;
48  typedef Ogre::Degree Degree;
49  typedef Ogre::Vector2 Vector2;
50  typedef Ogre::Vector3 Vector3;
51  typedef Ogre::Vector4 Vector4;
52  typedef Ogre::Matrix3 Matrix3;
53  typedef Ogre::Quaternion Quaternion;
54  typedef Ogre::ColourValue ColourValue;
55}
56
57_UtilExport std::ostream& operator<<(std::ostream& out, const Ogre::Radian& radian);
58_UtilExport std::istream& operator>>(std::istream& in, orxonox::Radian& radian);
59_UtilExport std::ostream& operator<<(std::ostream& out, const orxonox::Degree& degree);
60_UtilExport std::istream& operator>>(std::istream& in, orxonox::Degree& degree);
61
62_UtilExport float getAngle(const orxonox::Vector3& myposition, const orxonox::Vector3& mydirection, const orxonox::Vector3& otherposition);
63_UtilExport orxonox::Vector2 get2DViewdirection(const orxonox::Vector3& myposition, const orxonox::Vector3& mydirection, const orxonox::Vector3& myorthonormal, const orxonox::Vector3& otherposition);
64_UtilExport orxonox::Vector2 get2DViewcoordinates(const orxonox::Vector3& myposition, const orxonox::Vector3& mydirection, const orxonox::Vector3& myorthonormal, const orxonox::Vector3& otherposition);
65_UtilExport orxonox::Vector3 getPredictedPosition(const orxonox::Vector3& myposition, float projectilespeed, const orxonox::Vector3& targetposition, const orxonox::Vector3& targetvelocity);
66
67template <typename T>
68inline T sgn(T x)
69{
70    return (x >= 0) ? 1 : -1;
71}
72
73template <typename T>
74inline T min(T a, T b)
75{
76    return (a <= b) ? a : b;
77}
78
79template <typename T>
80inline T max(T a, T b)
81{
82    return (a >= b) ? a : b;
83}
84
85template <typename T>
86inline T clamp(T x, T min, T max)
87{
88    if (x < min)
89        return min;
90
91    if (x > max)
92        return max;
93
94    return x;
95}
96
97template <typename T>
98inline T square(T x)
99{
100    return x*x;
101}
102
103template <typename T>
104inline T cube(T x)
105{
106    return x*x*x;
107}
108
109template <typename T>
110inline int floor(T x)
111{
112    return (int)(x);
113}
114
115template <typename T>
116inline int ceil(T x)
117{
118    int temp = floor(x);
119    return (temp != x) ? (temp + 1) : temp;
120}
121
122template <typename T>
123inline int round(T x)
124{
125    return (int)(x + 0.5);
126}
127
128template <typename T>
129inline int mod(T x, int max)
130{
131    if (x >= 0)
132        return (x % max);
133    else
134        return ((x % max) + max);
135}
136
137template <typename T>
138T interpolate(float time, const T& start, const T& end)
139{
140    return time * (end - start) + start;
141}
142
143template <typename T>
144T interpolateSmooth(float time, const T& start, const T& end)
145{
146    return (-2 * (end - start) * cube(time)) + (3 * (end - start) * square(time)) + start;
147}
148
149inline _UtilExport float rnd()
150{
151    return ((float)rand() / RAND_MAX);
152}
153
154inline _UtilExport float rnd(float max)
155{
156    return rnd() * max;
157}
158
159inline _UtilExport float rnd(float min, float max)
160{
161    return rnd(max - min) + min;
162}
163
164class _UtilExport IntVector2
165{
166public:
167  IntVector2() : x(0), y(0) { }
168  IntVector2(int _x, int _y) : x(_x), y(_y) { }
169  int x;
170  int y;
171};
172
173class _UtilExport IntVector3
174{
175public:
176  IntVector3() : x(0), y(0), z(0) { }
177  IntVector3(int _x, int _y, int _z) : x(_x), y(_y), z(_z) { }
178  int x;
179  int y;
180  int z;
181};
182
183#endif /* _Util_Math_H__ */
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