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
|
/*
* Copyright (C) 2003-2006 Gabest
* http://www.gabest.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, or (at your option)
* any later version.
*
* This Program 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 GNU Make; see the file COPYING. If not, write to
* the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
* http://www.gnu.org/copyleft/gpl.html
*
*/
#pragma once
#ifndef PI
#define PI (3.141592654f)
#endif
#define DegToRad(d) ((d)*PI/180.0)
#define RadToDeg(r) ((r)*180.0/PI)
#define Sgn(d) (IsZero(d) ? 0 : (d) > 0 ? 1 : -1)
#define SgnPow(d, p) (IsZero(d) ? 0 : (pow(fabs(d), p) * Sgn(d)))
class Vector
{
public:
float x, y, z;
Vector() {x = y = z = 0;}
Vector(float x, float y, float z);
void Set(float x, float y, float z);
Vector Normal(Vector& a, Vector& b);
float Angle(Vector& a, Vector& b);
float Angle(Vector& a);
void Angle(float& u, float& v); // returns spherical coords in radian, -PI/2 <= u <= PI/2, -PI <= v <= PI
Vector Angle(); // does like prev., returns 'u' in 'ret.x', and 'v' in 'ret.y'
Vector Unit();
Vector& Unitalize();
float Length();
float Sum(); // x + y + z
float CrossSum(); // xy + xz + yz
Vector Cross(); // xy, xz, yz
Vector Pow(float exp);
Vector& Min(Vector& a);
Vector& Max(Vector& a);
Vector Abs();
Vector Reflect(Vector& n);
Vector Refract(Vector& n, float nFront, float nBack, float* nOut = NULL);
Vector Refract2(Vector& n, float nFrom, float nTo, float* nOut = NULL);
Vector operator - ();
float& operator [] (size_t i);
float operator | (Vector& v); // dot
Vector operator % (Vector& v); // cross
bool operator == (const Vector& v) const;
bool operator != (const Vector& v) const;
Vector operator + (float d);
Vector operator + (Vector& v);
Vector operator - (float d);
Vector operator - (Vector& v);
Vector operator * (float d);
Vector operator * (Vector& v);
Vector operator / (float d);
Vector operator / (Vector& v);
Vector& operator += (float d);
Vector& operator += (Vector& v);
Vector& operator -= (float d);
Vector& operator -= (Vector& v);
Vector& operator *= (float d);
Vector& operator *= (Vector& v);
Vector& operator /= (float d);
Vector& operator /= (Vector& v);
};
class Ray
{
public:
Vector p, d;
Ray() {}
Ray(Vector& p, Vector& d);
void Set(Vector& p, Vector& d);
float GetDistanceFrom(Ray& r); // r = plane
float GetDistanceFrom(Vector& v); // v = point
Vector operator [] (float t);
};
class XForm
{
class Matrix
{
public:
float mat[4][4];
Matrix();
void Initalize();
Matrix operator * (Matrix& m);
Matrix& operator *= (Matrix& m);
} m;
bool m_isWorldToLocal;
public:
XForm() {}
XForm(Ray& r, Vector& s, bool isWorldToLocal = true);
void Initalize();
void Initalize(Ray& r, Vector& s, bool isWorldToLocal = true);
void operator *= (Vector& s); // scale
void operator += (Vector& t); // translate
void operator <<= (Vector& r); // rotate
void operator /= (Vector& s); // scale
void operator -= (Vector& t); // translate
void operator >>= (Vector& r); // rotate
// transformations
Vector operator < (Vector& n); // normal
Vector operator << (Vector& v); // vector
Ray operator << (Ray& r); // ray
};
|
