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
|
#pragma once
#include <math.h>
#include <string.h>
#if !AMR_MATH_USE_TYPES
#include <stdint.h>
typedef int32_t i32;
typedef int64_t i64;
typedef float r32;
typedef double r64;
typedef int8_t b8;
#endif
#define PI 3.14159265358979323846264338327950288f
#define SQUARE(x) ((x)*(x))
#define TO_RAD(x) ((x)*PI/180.0f)
#define TO_DEG(x) ((x)*180.0f/PI)
#define ABS(x) ((x) > 0 ? (x) : -(x))
#define MIN(x, y) ((x) < (y) ? (y) : (x))
#define MAX(x, y) ((x) > (y) ? (y) : (x))
#define CLAMP(x, lo, hi) ((x) <= (lo) ? (lo) : ((x) >= (hi) ? (hi) : (x)))
union Vec2 {
struct {
r32 x;
r32 y;
};
r32 buffer[2];
};
union Vec3 {
struct {
r32 x;
r32 y;
r32 z;
};
struct {
r32 r;
r32 g;
r32 b;
};
r32 buffer[3];
};
union Vec4 {
struct {
r32 x;
r32 y;
r32 z;
r32 w;
};
r32 buffer[4];
};
union Mat4 {
Vec4 row[4];
r32 array[4][4];
r32 buffer[16];
};
Vec3 calcify_normalize3v(Vec3 v);
Mat4 calcify_init4m(void);
Mat4 calcify_ident4m(void);
Mat4 calcify_multiply4mv(Mat4 a, Mat4 b);
Mat4 calcify_multiply4m(Mat4 a, Mat4 b);
Mat4 calcify_translation_matrix4m(r32 x, r32 y, r32 z);
Mat4 calcify_ortho4m(r32 left, r32 right, r32 top, r32 bot, r32 near, r32 far);
Vec3 calcify_normalize3v(Vec3 v) {
Vec3 res = {};
r32 len = sqrt((v.x*v.x) + (v.y*v.y) + (v.z*v.z));
res = (Vec3){v.x/len, v.y/len, v.z/len};
return res;
}
Mat4 calcify_init4m(void) {
Mat4 res;
memset(&res, 0, sizeof(Mat4));
return res;
}
Mat4 calcify_ident4m(void) {
Mat4 res = calcify_init4m();
res.array[0][0] = 1.0f;
res.array[1][1] = 1.0f;
res.array[2][2] = 1.0f;
res.array[3][3] = 1.0f;
return res;
}
Vec4 calcify_multiply4mv(Mat4 m, Vec4 v) {
Vec4 res = {0};
res.x = 0;
res.y = 0;
res.z = 0;
res.w = 0;
res.x = v.x*m.array[0][0];
res.y = v.x*m.array[0][1];
res.z = v.x*m.array[0][2];
res.w = v.x*m.array[0][3];
res.x += v.y*m.array[1][0];
res.y += v.y*m.array[1][1];
res.z += v.y*m.array[1][2];
res.w += v.y*m.array[1][3];
res.x += v.z*m.array[2][0];
res.y += v.z*m.array[2][1];
res.z += v.z*m.array[2][2];
res.w += v.z*m.array[2][3];
res.x += v.w*m.array[3][0];
res.y += v.w*m.array[3][1];
res.z += v.w*m.array[3][2];
res.w += v.w*m.array[3][3];
return res;
};
Mat4 calcify_multiply4m(Mat4 a, Mat4 b) {
Mat4 res = calcify_init4m();
res.row[0] = calcify_multiply4mv(a, b.row[0]);
res.row[1] = calcify_multiply4mv(a, b.row[1]);
res.row[2] = calcify_multiply4mv(a, b.row[2]);
res.row[3] = calcify_multiply4mv(a, b.row[3]);
return res;
}
Mat4 calcify_translation_matrix4m(r32 x, r32 y, r32 z) {
Mat4 trans = calcify_ident4m();
trans.row[3] = Vec4{x, y, z, 1.0f};
return trans;
};
Mat4 calcify_scaling_matrix4m(r32 x, r32 y) {
Mat4 scale = calcify_ident4m();
scale.array[0][0] = x;
scale.array[1][1] = y;
scale.array[2][2] = 0;
return scale;
}
Mat4 calcify_rotation_matrix4m(r32 angle_radians, Vec3 axis)
{
Mat4 res = calcify_ident4m();
axis = calcify_normalize3v(axis);
r32 cos_theta = cosf(angle_radians);
r32 sin_theta = sinf(angle_radians);
r32 cos_value = 1.0f - cos_theta;
res.array[0][0] = (axis.x * axis.x * cos_value) + cos_theta;
res.array[0][1] = (axis.x * axis.y * cos_value) + (axis.z * sin_theta);
res.array[0][2] = (axis.x * axis.z * cos_value) - (axis.y * sin_theta);
res.array[1][0] = (axis.x * axis.y * cos_value) - (axis.z * sin_theta);
res.array[1][1] = (axis.y * axis.y * cos_value) + cos_theta;
res.array[1][2] = (axis.y * axis.z * cos_value) + (axis.x * sin_theta);
res.array[2][0] = (axis.x * axis.z * cos_value) + (axis.y * sin_theta);
res.array[2][1] = (axis.y * axis.z * cos_value) - (axis.x * sin_theta);
res.array[2][2] = (axis.z * axis.z * cos_value) + cos_value;
return res;
}
Mat4 calcify_ortho4m(r32 left, r32 right, r32 bottom, r32 top, r32 near, r32 far) {
Mat4 res = calcify_init4m();
res.array[0][0] = 2.0f/(right - left);
res.array[1][1] = 2.0f/(top - bottom);
res.array[2][2] = 2.0f/(near - far);
res.array[3][0] = (right + left)/(left - right);
res.array[3][1] = (top + bottom)/(bottom - top);
res.array[3][2] = (far + near)/(near - far);
res.array[3][3] = 1.0f;
return(res);
}
|
