1a46c0ec8Sopenharmony_ci/*
2a46c0ec8Sopenharmony_ci * Copyright © 2008 Kristian Høgsberg
3a46c0ec8Sopenharmony_ci * Copyright © 2013-2015 Red Hat, Inc.
4a46c0ec8Sopenharmony_ci *
5a46c0ec8Sopenharmony_ci * Permission is hereby granted, free of charge, to any person obtaining a
6a46c0ec8Sopenharmony_ci * copy of this software and associated documentation files (the "Software"),
7a46c0ec8Sopenharmony_ci * to deal in the Software without restriction, including without limitation
8a46c0ec8Sopenharmony_ci * the rights to use, copy, modify, merge, publish, distribute, sublicense,
9a46c0ec8Sopenharmony_ci * and/or sell copies of the Software, and to permit persons to whom the
10a46c0ec8Sopenharmony_ci * Software is furnished to do so, subject to the following conditions:
11a46c0ec8Sopenharmony_ci *
12a46c0ec8Sopenharmony_ci * The above copyright notice and this permission notice (including the next
13a46c0ec8Sopenharmony_ci * paragraph) shall be included in all copies or substantial portions of the
14a46c0ec8Sopenharmony_ci * Software.
15a46c0ec8Sopenharmony_ci *
16a46c0ec8Sopenharmony_ci * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
17a46c0ec8Sopenharmony_ci * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
18a46c0ec8Sopenharmony_ci * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
19a46c0ec8Sopenharmony_ci * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
20a46c0ec8Sopenharmony_ci * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
21a46c0ec8Sopenharmony_ci * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
22a46c0ec8Sopenharmony_ci * DEALINGS IN THE SOFTWARE.
23a46c0ec8Sopenharmony_ci */
24a46c0ec8Sopenharmony_ci
25a46c0ec8Sopenharmony_ci#pragma once
26a46c0ec8Sopenharmony_ci
27a46c0ec8Sopenharmony_ci#include "config.h"
28a46c0ec8Sopenharmony_ci
29a46c0ec8Sopenharmony_ci#include <string.h>
30a46c0ec8Sopenharmony_ci#include <stdbool.h>
31a46c0ec8Sopenharmony_ci#include <math.h>
32a46c0ec8Sopenharmony_ci
33a46c0ec8Sopenharmony_cistruct matrix {
34a46c0ec8Sopenharmony_ci	float val[3][3]; /* [row][col] */
35a46c0ec8Sopenharmony_ci};
36a46c0ec8Sopenharmony_ci
37a46c0ec8Sopenharmony_cistatic inline double
38a46c0ec8Sopenharmony_cideg2rad(int degree)
39a46c0ec8Sopenharmony_ci{
40a46c0ec8Sopenharmony_ci	return M_PI * degree / 180.0;
41a46c0ec8Sopenharmony_ci}
42a46c0ec8Sopenharmony_ci
43a46c0ec8Sopenharmony_cistatic inline void
44a46c0ec8Sopenharmony_cimatrix_init_identity(struct matrix *m)
45a46c0ec8Sopenharmony_ci{
46a46c0ec8Sopenharmony_ci	memset(m, 0, sizeof(*m));
47a46c0ec8Sopenharmony_ci	m->val[0][0] = 1;
48a46c0ec8Sopenharmony_ci	m->val[1][1] = 1;
49a46c0ec8Sopenharmony_ci	m->val[2][2] = 1;
50a46c0ec8Sopenharmony_ci}
51a46c0ec8Sopenharmony_ci
52a46c0ec8Sopenharmony_cistatic inline void
53a46c0ec8Sopenharmony_cimatrix_from_farray6(struct matrix *m, const float values[6])
54a46c0ec8Sopenharmony_ci{
55a46c0ec8Sopenharmony_ci	matrix_init_identity(m);
56a46c0ec8Sopenharmony_ci	m->val[0][0] = values[0];
57a46c0ec8Sopenharmony_ci	m->val[0][1] = values[1];
58a46c0ec8Sopenharmony_ci	m->val[0][2] = values[2];
59a46c0ec8Sopenharmony_ci	m->val[1][0] = values[3];
60a46c0ec8Sopenharmony_ci	m->val[1][1] = values[4];
61a46c0ec8Sopenharmony_ci	m->val[1][2] = values[5];
62a46c0ec8Sopenharmony_ci}
63a46c0ec8Sopenharmony_ci
64a46c0ec8Sopenharmony_cistatic inline void
65a46c0ec8Sopenharmony_cimatrix_init_scale(struct matrix *m, float sx, float sy)
66a46c0ec8Sopenharmony_ci{
67a46c0ec8Sopenharmony_ci	matrix_init_identity(m);
68a46c0ec8Sopenharmony_ci	m->val[0][0] = sx;
69a46c0ec8Sopenharmony_ci	m->val[1][1] = sy;
70a46c0ec8Sopenharmony_ci}
71a46c0ec8Sopenharmony_ci
72a46c0ec8Sopenharmony_cistatic inline void
73a46c0ec8Sopenharmony_cimatrix_init_translate(struct matrix *m, float x, float y)
74a46c0ec8Sopenharmony_ci{
75a46c0ec8Sopenharmony_ci	matrix_init_identity(m);
76a46c0ec8Sopenharmony_ci	m->val[0][2] = x;
77a46c0ec8Sopenharmony_ci	m->val[1][2] = y;
78a46c0ec8Sopenharmony_ci}
79a46c0ec8Sopenharmony_ci
80a46c0ec8Sopenharmony_cistatic inline void
81a46c0ec8Sopenharmony_cimatrix_init_rotate(struct matrix *m, int degrees)
82a46c0ec8Sopenharmony_ci{
83a46c0ec8Sopenharmony_ci	double s, c;
84a46c0ec8Sopenharmony_ci
85a46c0ec8Sopenharmony_ci	s = sin(deg2rad(degrees));
86a46c0ec8Sopenharmony_ci	c = cos(deg2rad(degrees));
87a46c0ec8Sopenharmony_ci
88a46c0ec8Sopenharmony_ci	matrix_init_identity(m);
89a46c0ec8Sopenharmony_ci	m->val[0][0] = c;
90a46c0ec8Sopenharmony_ci	m->val[0][1] = -s;
91a46c0ec8Sopenharmony_ci	m->val[1][0] = s;
92a46c0ec8Sopenharmony_ci	m->val[1][1] = c;
93a46c0ec8Sopenharmony_ci}
94a46c0ec8Sopenharmony_ci
95a46c0ec8Sopenharmony_cistatic inline bool
96a46c0ec8Sopenharmony_cimatrix_is_identity(const struct matrix *m)
97a46c0ec8Sopenharmony_ci{
98a46c0ec8Sopenharmony_ci	return (m->val[0][0] == 1 &&
99a46c0ec8Sopenharmony_ci		m->val[0][1] == 0 &&
100a46c0ec8Sopenharmony_ci		m->val[0][2] == 0 &&
101a46c0ec8Sopenharmony_ci		m->val[1][0] == 0 &&
102a46c0ec8Sopenharmony_ci		m->val[1][1] == 1 &&
103a46c0ec8Sopenharmony_ci		m->val[1][2] == 0 &&
104a46c0ec8Sopenharmony_ci		m->val[2][0] == 0 &&
105a46c0ec8Sopenharmony_ci		m->val[2][1] == 0 &&
106a46c0ec8Sopenharmony_ci		m->val[2][2] == 1);
107a46c0ec8Sopenharmony_ci}
108a46c0ec8Sopenharmony_ci
109a46c0ec8Sopenharmony_cistatic inline void
110a46c0ec8Sopenharmony_cimatrix_mult(struct matrix *dest,
111a46c0ec8Sopenharmony_ci	    const struct matrix *m1,
112a46c0ec8Sopenharmony_ci	    const struct matrix *m2)
113a46c0ec8Sopenharmony_ci{
114a46c0ec8Sopenharmony_ci	struct matrix m; /* allow for dest == m1 or dest == m2 */
115a46c0ec8Sopenharmony_ci	int row, col, i;
116a46c0ec8Sopenharmony_ci
117a46c0ec8Sopenharmony_ci	for (row = 0; row < 3; row++) {
118a46c0ec8Sopenharmony_ci		for (col = 0; col < 3; col++) {
119a46c0ec8Sopenharmony_ci			double v = 0;
120a46c0ec8Sopenharmony_ci			for (i = 0; i < 3; i++) {
121a46c0ec8Sopenharmony_ci				v += m1->val[row][i] * m2->val[i][col];
122a46c0ec8Sopenharmony_ci			}
123a46c0ec8Sopenharmony_ci			m.val[row][col] = v;
124a46c0ec8Sopenharmony_ci		}
125a46c0ec8Sopenharmony_ci	}
126a46c0ec8Sopenharmony_ci
127a46c0ec8Sopenharmony_ci	memcpy(dest, &m, sizeof(m));
128a46c0ec8Sopenharmony_ci}
129a46c0ec8Sopenharmony_ci
130a46c0ec8Sopenharmony_cistatic inline void
131a46c0ec8Sopenharmony_cimatrix_mult_vec(const struct matrix *m, int *x, int *y)
132a46c0ec8Sopenharmony_ci{
133a46c0ec8Sopenharmony_ci	int tx, ty;
134a46c0ec8Sopenharmony_ci
135a46c0ec8Sopenharmony_ci	tx = *x * m->val[0][0] + *y * m->val[0][1] + m->val[0][2];
136a46c0ec8Sopenharmony_ci	ty = *x * m->val[1][0] + *y * m->val[1][1] + m->val[1][2];
137a46c0ec8Sopenharmony_ci
138a46c0ec8Sopenharmony_ci	*x = tx;
139a46c0ec8Sopenharmony_ci	*y = ty;
140a46c0ec8Sopenharmony_ci}
141a46c0ec8Sopenharmony_ci
142a46c0ec8Sopenharmony_cistatic inline void
143a46c0ec8Sopenharmony_cimatrix_mult_vec_double(const struct matrix *m, double *x, double *y)
144a46c0ec8Sopenharmony_ci{
145a46c0ec8Sopenharmony_ci	double tx, ty;
146a46c0ec8Sopenharmony_ci
147a46c0ec8Sopenharmony_ci	tx = *x * m->val[0][0] + *y * m->val[0][1] + m->val[0][2];
148a46c0ec8Sopenharmony_ci	ty = *x * m->val[1][0] + *y * m->val[1][1] + m->val[1][2];
149a46c0ec8Sopenharmony_ci
150a46c0ec8Sopenharmony_ci	*x = tx;
151a46c0ec8Sopenharmony_ci	*y = ty;
152a46c0ec8Sopenharmony_ci}
153a46c0ec8Sopenharmony_ci
154a46c0ec8Sopenharmony_cistatic inline void
155a46c0ec8Sopenharmony_cimatrix_to_farray6(const struct matrix *m, float out[6])
156a46c0ec8Sopenharmony_ci{
157a46c0ec8Sopenharmony_ci	out[0] = m->val[0][0];
158a46c0ec8Sopenharmony_ci	out[1] = m->val[0][1];
159a46c0ec8Sopenharmony_ci	out[2] = m->val[0][2];
160a46c0ec8Sopenharmony_ci	out[3] = m->val[1][0];
161a46c0ec8Sopenharmony_ci	out[4] = m->val[1][1];
162a46c0ec8Sopenharmony_ci	out[5] = m->val[1][2];
163a46c0ec8Sopenharmony_ci}
164a46c0ec8Sopenharmony_ci
165a46c0ec8Sopenharmony_cistatic inline void
166a46c0ec8Sopenharmony_cimatrix_to_relative(struct matrix *dest, const struct matrix *src)
167a46c0ec8Sopenharmony_ci{
168a46c0ec8Sopenharmony_ci	matrix_init_identity(dest);
169a46c0ec8Sopenharmony_ci	dest->val[0][0] = src->val[0][0];
170a46c0ec8Sopenharmony_ci	dest->val[0][1] = src->val[0][1];
171a46c0ec8Sopenharmony_ci	dest->val[1][0] = src->val[1][0];
172a46c0ec8Sopenharmony_ci	dest->val[1][1] = src->val[1][1];
173a46c0ec8Sopenharmony_ci}
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