Blender V4.5
BLI_math_matrix.h
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1/* SPDX-FileCopyrightText: 2001-2002 NaN Holding BV. All rights reserved.
2 *
3 * SPDX-License-Identifier: GPL-2.0-or-later */
4
5#pragma once
6
10
11#include "BLI_compiler_attrs.h"
12
13/* -------------------------------------------------------------------- */
16
17void zero_m3(float m[3][3]);
18void zero_m4(float m[4][4]);
19
20void unit_m2(float m[2][2]);
21void unit_m3(float m[3][3]);
22void unit_m4(float m[4][4]);
23void unit_m4_db(double m[4][4]);
24
25void copy_m2_m2(float m1[2][2], const float m2[2][2]);
26void copy_m3_m3(float m1[3][3], const float m2[3][3]);
27void copy_m4_m4(float m1[4][4], const float m2[4][4]);
28void copy_m3_m4(float m1[3][3], const float m2[4][4]);
29void copy_m4_m3(float m1[4][4], const float m2[3][3]);
30
31void copy_m4_m4_db(double m1[4][4], const double m2[4][4]);
32
33/* double->float */
34
35void copy_m3_m3d(float m1[3][3], const double m2[3][3]);
36
37/* float->double */
38
39void copy_m3d_m3(double m1[3][3], const float m2[3][3]);
40void copy_m4d_m4(double m1[4][4], const float m2[4][4]);
41
42void swap_m4m4(float m1[4][4], float m2[4][4]);
43
45void shuffle_m4(float R[4][4], const int index[4]);
46
48
49/* -------------------------------------------------------------------- */
52
53void add_m3_m3m3(float R[3][3], const float A[3][3], const float B[3][3]);
54void add_m4_m4m4(float R[4][4], const float A[4][4], const float B[4][4]);
55
56void madd_m3_m3m3fl(float R[3][3], const float A[3][3], const float B[3][3], float f);
57void madd_m4_m4m4fl(float R[4][4], const float A[4][4], const float B[4][4], float f);
58
59void sub_m3_m3m3(float R[3][3], const float A[3][3], const float B[3][3]);
60
61void mul_m3_m3m3(float R[3][3], const float A[3][3], const float B[3][3]);
62void mul_m4_m3m4(float R[4][4], const float A[3][3], const float B[4][4]);
63void mul_m4_m4m3(float R[4][4], const float A[4][4], const float B[3][3]);
64void mul_m4_m4m4(float R[4][4], const float A[4][4], const float B[4][4]);
68void mul_m3_m3m4(float R[3][3], const float A[3][3], const float B[4][4]);
72void mul_m3_m4m3(float R[3][3], const float A[4][4], const float B[3][3]);
73void mul_m3_m4m4(float R[3][3], const float A[4][4], const float B[4][4]);
74
80void mul_m3_m3_pre(float R[3][3], const float A[3][3]);
81void mul_m3_m3_post(float R[3][3], const float B[3][3]);
82void mul_m4db_m4db_m4fl(double R[4][4], const double A[4][4], const float B[4][4]);
83void mul_m4_m4_pre(float R[4][4], const float A[4][4]);
84void mul_m4_m4_post(float R[4][4], const float B[4][4]);
85
86/* Implement #mul_m3_series macro. */
87
88void _va_mul_m3_series_3(float r[3][3], const float m1[3][3], const float m2[3][3]) ATTR_NONNULL();
89void _va_mul_m3_series_4(float r[3][3],
90 const float m1[3][3],
91 const float m2[3][3],
92 const float m3[3][3]) ATTR_NONNULL();
93void _va_mul_m3_series_5(float r[3][3],
94 const float m1[3][3],
95 const float m2[3][3],
96 const float m3[3][3],
97 const float m4[3][3]) ATTR_NONNULL();
98void _va_mul_m3_series_6(float r[3][3],
99 const float m1[3][3],
100 const float m2[3][3],
101 const float m3[3][3],
102 const float m4[3][3],
103 const float m5[3][3]) ATTR_NONNULL();
104void _va_mul_m3_series_7(float r[3][3],
105 const float m1[3][3],
106 const float m2[3][3],
107 const float m3[3][3],
108 const float m4[3][3],
109 const float m5[3][3],
110 const float m6[3][3]) ATTR_NONNULL();
111void _va_mul_m3_series_8(float r[3][3],
112 const float m1[3][3],
113 const float m2[3][3],
114 const float m3[3][3],
115 const float m4[3][3],
116 const float m5[3][3],
117 const float m6[3][3],
118 const float m7[3][3]) ATTR_NONNULL();
119void _va_mul_m3_series_9(float r[3][3],
120 const float m1[3][3],
121 const float m2[3][3],
122 const float m3[3][3],
123 const float m4[3][3],
124 const float m5[3][3],
125 const float m6[3][3],
126 const float m7[3][3],
127 const float m8[3][3]) ATTR_NONNULL();
128
129/* Implement #mul_m4_series macro. */
130
131void _va_mul_m4_series_3(float r[4][4], const float m1[4][4], const float m2[4][4]) ATTR_NONNULL();
132void _va_mul_m4_series_4(float r[4][4],
133 const float m1[4][4],
134 const float m2[4][4],
135 const float m3[4][4]) ATTR_NONNULL();
136void _va_mul_m4_series_5(float r[4][4],
137 const float m1[4][4],
138 const float m2[4][4],
139 const float m3[4][4],
140 const float m4[4][4]) ATTR_NONNULL();
141void _va_mul_m4_series_6(float r[4][4],
142 const float m1[4][4],
143 const float m2[4][4],
144 const float m3[4][4],
145 const float m4[4][4],
146 const float m5[4][4]) ATTR_NONNULL();
147void _va_mul_m4_series_7(float r[4][4],
148 const float m1[4][4],
149 const float m2[4][4],
150 const float m3[4][4],
151 const float m4[4][4],
152 const float m5[4][4],
153 const float m6[4][4]) ATTR_NONNULL();
154void _va_mul_m4_series_8(float r[4][4],
155 const float m1[4][4],
156 const float m2[4][4],
157 const float m3[4][4],
158 const float m4[4][4],
159 const float m5[4][4],
160 const float m6[4][4],
161 const float m7[4][4]) ATTR_NONNULL();
162void _va_mul_m4_series_9(float r[4][4],
163 const float m1[4][4],
164 const float m2[4][4],
165 const float m3[4][4],
166 const float m4[4][4],
167 const float m5[4][4],
168 const float m6[4][4],
169 const float m7[4][4],
170 const float m8[4][4]) ATTR_NONNULL();
171
172#define mul_m3_series(...) VA_NARGS_CALL_OVERLOAD(_va_mul_m3_series_, __VA_ARGS__)
173#define mul_m4_series(...) VA_NARGS_CALL_OVERLOAD(_va_mul_m4_series_, __VA_ARGS__)
174
175void mul_m4_v3(const float M[4][4], float r[3]);
176void mul_v3_m4v3(float r[3], const float mat[4][4], const float vec[3]);
177void mul_v3_m4v3_db(double r[3], const double mat[4][4], const double vec[3]);
178void mul_v4_m4v3_db(double r[4], const double mat[4][4], const double vec[3]);
179void mul_v2_m4v3(float r[2], const float mat[4][4], const float vec[3]);
180void mul_v2_m2v2(float r[2], const float mat[2][2], const float vec[2]);
181void mul_m2_v2(const float mat[2][2], float vec[2]);
183void mul_mat3_m4_v3(const float mat[4][4], float r[3]);
184void mul_v3_mat3_m4v3(float r[3], const float mat[4][4], const float vec[3]);
185void mul_v3_mat3_m4v3_db(double r[3], const double mat[4][4], const double vec[3]);
186void mul_m4_v4(const float mat[4][4], float r[4]);
187void mul_v4_m4v4(float r[4], const float mat[4][4], const float v[4]);
188void mul_v4_m4v3(float r[4], const float M[4][4], const float v[3]); /* v has implicit w = 1.0f */
189void mul_project_m4_v3(const float mat[4][4], float vec[3]);
190void mul_v3_project_m4_v3(float r[3], const float mat[4][4], const float vec[3]);
191void mul_v2_project_m4_v3(float r[2], const float mat[4][4], const float vec[3]);
192
193void mul_m3_v2(const float m[3][3], float r[2]);
194void mul_v2_m3v2(float r[2], const float m[3][3], const float v[2]);
195void mul_m3_v3(const float M[3][3], float r[3]);
196void mul_v3_m3v3(float r[3], const float M[3][3], const float a[3]);
197void mul_v2_m3v3(float r[2], const float M[3][3], const float a[3]);
198void mul_transposed_m3_v3(const float M[3][3], float r[3]);
199void mul_transposed_mat3_m4_v3(const float M[4][4], float r[3]);
200
209void mul_m4_m4m4_aligned_scale(float R[4][4], const float A[4][4], const float B[4][4]);
213void mul_m4_m4m4_split_channels(float R[4][4], const float A[4][4], const float B[4][4]);
214
215void mul_m3_fl(float R[3][3], float f);
216void mul_m4_fl(float R[4][4], float f);
217void mul_mat3_m4_fl(float R[4][4], float f);
218
219void negate_m3(float R[3][3]);
220void negate_mat3_m4(float R[4][4]);
221void negate_m4(float R[4][4]);
222
223bool invert_m3(float mat[3][3]);
224bool invert_m2_m2(float inverse[2][2], const float mat[2][2]);
225bool invert_m3_m3(float inverse[3][3], const float mat[3][3]);
226bool invert_m4(float mat[4][4]);
227bool invert_m4_m4(float inverse[4][4], const float mat[4][4]);
238bool invert_m4_m4_fallback(float inverse[4][4], const float mat[4][4]);
239
240/* Double matrix functions (no mixing types). */
241
242void mul_v3_m3v3_db(double r[3], const double M[3][3], const double a[3]);
243void mul_m3_v3_db(const double M[3][3], double r[3]);
244
246
247/* -------------------------------------------------------------------- */
250
251void transpose_m3(float R[3][3]);
252void transpose_m3_m3(float R[3][3], const float M[3][3]);
256void transpose_m3_m4(float R[3][3], const float M[4][4]);
257void transpose_m4(float R[4][4]);
258void transpose_m4_m4(float R[4][4], const float M[4][4]);
259
260bool compare_m4m4(const float mat1[4][4], const float mat2[4][4], float limit);
261
262void normalize_m2_m2(float R[2][2], const float M[2][2]) ATTR_NONNULL();
263void normalize_m3(float R[3][3]) ATTR_NONNULL();
264void normalize_m3_m3(float R[3][3], const float M[3][3]) ATTR_NONNULL();
265void normalize_m4_ex(float R[4][4], float r_scale[3]) ATTR_NONNULL();
266void normalize_m4(float R[4][4]) ATTR_NONNULL();
267void normalize_m4_m4(float rmat[4][4], const float mat[4][4]) ATTR_NONNULL();
268
274void orthogonalize_m3(float R[3][3], int axis);
280void orthogonalize_m4(float R[4][4], int axis);
281
290void orthogonalize_m4_stable(float R[4][4], int axis, bool normalize);
291
292bool orthogonalize_m3_zero_axes(float m[3][3], float unit_length);
293bool orthogonalize_m4_zero_axes(float m[4][4], float unit_length);
294
295bool is_orthogonal_m3(const float m[3][3]);
296bool is_orthogonal_m4(const float m[4][4]);
297bool is_orthonormal_m3(const float m[3][3]);
298bool is_orthonormal_m4(const float m[4][4]);
299
300bool is_uniform_scaled_m3(const float m[3][3]);
301bool is_uniform_scaled_m4(const float m[4][4]);
302
303/* NOTE: 'adjoint' here means the adjugate (adjunct, "classical adjoint") matrix!
304 * Nowadays 'adjoint' usually refers to the conjugate transpose,
305 * which for real-valued matrices is simply the transpose. */
306
307void adjoint_m2_m2(float R[2][2], const float M[2][2]);
308void adjoint_m3_m3(float R[3][3], const float M[3][3]);
309void adjoint_m4_m4(float R[4][4], const float M[4][4]);
310
311float determinant_m2(float a, float b, float c, float d);
312float determinant_m3(
313 float a1, float a2, float a3, float b1, float b2, float b3, float c1, float c2, float c3);
314float determinant_m3_array(const float m[3][3]);
315float determinant_m4_mat3_array(const float m[4][4]);
316float determinant_m4(const float m[4][4]);
317
318#define PSEUDOINVERSE_EPSILON 1e-8f
319
327void svd_m4(float U[4][4], float s[4], float V[4][4], float A_[4][4]);
328void pseudoinverse_m4_m4(float inverse[4][4], const float mat[4][4], float epsilon);
329void pseudoinverse_m3_m3(float inverse[3][3], const float mat[3][3], float epsilon);
330
331bool has_zero_axis_m4(const float matrix[4][4]);
332
333void invert_m4_m4_safe(float inverse[4][4], const float mat[4][4]);
334
335void invert_m3_m3_safe_ortho(float inverse[3][3], const float mat[3][3]);
342void invert_m4_m4_safe_ortho(float inverse[4][4], const float mat[4][4]);
343
345
346/* -------------------------------------------------------------------- */
349
350void scale_m3_fl(float R[3][3], float scale);
351void scale_m4_fl(float R[4][4], float scale);
352
358float mat4_to_volume_scale(const float mat[4][4]);
359
365float mat3_to_scale(const float mat[3][3]);
366float mat4_to_scale(const float mat[4][4]);
367
368void size_to_mat3(float R[3][3], const float size[3]);
369void size_to_mat4(float R[4][4], const float size[3]);
370
371void mat3_to_size(float size[3], const float M[3][3]);
372void mat4_to_size(float size[3], const float M[4][4]);
373
383float mat4_to_size_max_axis(const float M[4][4]);
384
389void mat4_to_size_fix_shear(float size[3], const float M[4][4]);
390
391void translate_m4(float mat[4][4], float Tx, float Ty, float Tz);
399void rotate_m4(float mat[4][4], char axis, float angle);
401void rescale_m4(float mat[4][4], const float scale[3]);
410void transform_pivot_set_m4(float mat[4][4], const float pivot[3]);
411
416void mat3_to_rot_size(float rot[3][3], float size[3], const float mat3[3][3]);
421void mat4_to_loc_rot_size(float loc[3], float rot[3][3], float size[3], const float wmat[4][4]);
422void mat4_to_loc_quat(float loc[3], float quat[4], const float wmat[4][4]);
423void mat4_decompose(float loc[3], float quat[4], float size[3], const float wmat[4][4]);
424
425void mat3_polar_decompose(const float mat3[3][3], float r_U[3][3], float r_P[3][3]);
426
431void loc_rot_size_to_mat4(float R[4][4],
432 const float loc[3],
433 const float rot[3][3],
434 const float size[3]);
441void loc_eul_size_to_mat4(float R[4][4],
442 const float loc[3],
443 const float eul[3],
444 const float size[3]);
449void loc_eulO_size_to_mat4(
450 float R[4][4], const float loc[3], const float eul[3], const float size[3], short order);
455void loc_quat_size_to_mat4(float R[4][4],
456 const float loc[3],
457 const float quat[4],
458 const float size[3]);
459
460void blend_m3_m3m3(float out[3][3], const float dst[3][3], const float src[3][3], float srcweight);
461void blend_m4_m4m4(float out[4][4], const float dst[4][4], const float src[4][4], float srcweight);
462
479void interp_m3_m3m3(float R[3][3], const float A[3][3], const float B[3][3], float t);
489void interp_m4_m4m4(float R[4][4], const float A[4][4], const float B[4][4], float t);
490
501bool is_negative_m3(const float mat[3][3]);
503bool is_negative_m4(const float mat[4][4]);
504
505bool is_zero_m4(const float mat[4][4]);
506
507bool equals_m3m3(const float mat1[3][3], const float mat2[3][3]);
508bool equals_m4m4(const float mat1[4][4], const float mat2[4][4]);
509
528typedef struct SpaceTransform {
529 float local2target[4][4];
530 float target2local[4][4];
531
532} SpaceTransform;
533
546void BLI_space_transform_from_matrices(struct SpaceTransform *data,
547 const float local[4][4],
548 const float target[4][4]);
561void BLI_space_transform_global_from_matrices(struct SpaceTransform *data,
562 const float local[4][4],
563 const float target[4][4]);
564void BLI_space_transform_apply(const struct SpaceTransform *data, float co[3]);
565void BLI_space_transform_invert(const struct SpaceTransform *data, float co[3]);
566void BLI_space_transform_apply_normal(const struct SpaceTransform *data, float no[3]);
567void BLI_space_transform_invert_normal(const struct SpaceTransform *data, float no[3]);
568
569#define BLI_SPACE_TRANSFORM_SETUP(data, local, target) \
570 BLI_space_transform_from_matrices( \
571 (data), (local)->object_to_world().ptr(), (target)->object_to_world().ptr())
572
574
575/* -------------------------------------------------------------------- */
578
579void print_m3(const char *str, const float m[3][3]);
580void print_m4(const char *str, const float m[4][4]);
581
582#define print_m3_id(M) print_m3(STRINGIFY(M), M)
583#define print_m4_id(M) print_m4(STRINGIFY(M), M)
584
BLI_compiler_attrs.h
ATTR_NONNULL
#define ATTR_NONNULL(...)
Definition BLI_compiler_attrs.h:25
mul_v4_m4v3
void mul_v4_m4v3(float r[4], const float M[4][4], const float v[3])
Definition math_matrix_c.cc:800
invert_m2_m2
bool invert_m2_m2(float inverse[2][2], const float mat[2][2])
Definition math_matrix_c.cc:1003
mul_v2_m4v3
void mul_v2_m4v3(float r[2], const float mat[4][4], const float vec[3])
Definition math_matrix_c.cc:702
mat3_to_scale
float mat3_to_scale(const float mat[3][3])
Definition math_matrix_c.cc:1956
mat4_to_volume_scale
float mat4_to_volume_scale(const float mat[4][4])
Definition math_matrix_c.cc:1951
is_negative_m3
bool is_negative_m3(const float mat[3][3])
Definition math_matrix_c.cc:2247
mul_v2_project_m4_v3
void mul_v2_project_m4_v3(float r[2], const float mat[4][4], const float vec[3])
Definition math_matrix_c.cc:774
BLI_space_transform_from_matrices
void BLI_space_transform_from_matrices(struct SpaceTransform *data, const float local[4][4], const float target[4][4])
Definition math_matrix_c.cc:2912
is_orthogonal_m3
bool is_orthogonal_m3(const float m[3][3])
Definition math_matrix_c.cc:1611
sub_m3_m3m3
void sub_m3_m3m3(float R[3][3], const float A[3][3], const float B[3][3])
Definition math_matrix_c.cc:978
unit_m2
void unit_m2(float m[2][2])
Definition math_matrix_c.cc:35
mul_v4_m4v3_db
void mul_v4_m4v3_db(double r[4], const double mat[4][4], const double vec[3])
Definition math_matrix_c.cc:691
negate_m3
void negate_m3(float R[3][3])
Definition math_matrix_c.cc:901
interp_m4_m4m4
void interp_m4_m4m4(float R[4][4], const float A[4][4], const float B[4][4], float t)
Definition math_matrix_c.cc:2226
mat4_to_scale
float mat4_to_scale(const float mat[4][4])
Definition math_matrix_c.cc:1965
orthogonalize_m4
void orthogonalize_m4(float R[4][4], int axis)
Definition math_matrix_c.cc:1371
mul_v3_project_m4_v3
void mul_v3_project_m4_v3(float r[3], const float mat[4][4], const float vec[3])
Definition math_matrix_c.cc:764
mul_m3_v3
void mul_m3_v3(const float M[3][3], float r[3])
Definition math_matrix_c.cc:838
madd_m4_m4m4fl
void madd_m4_m4m4fl(float R[4][4], const float A[4][4], const float B[4][4], float f)
Definition math_matrix_c.cc:967
zero_m4
void zero_m4(float m[4][4])
Definition math_matrix_c.cc:30
BLI_space_transform_apply_normal
void BLI_space_transform_apply_normal(const struct SpaceTransform *data, float no[3])
mul_m4_fl
void mul_m4_fl(float R[4][4], float f)
Definition math_matrix_c.cc:879
mul_m4_m4m4
void mul_m4_m4m4(float R[4][4], const float A[4][4], const float B[4][4])
Definition math_matrix_c.cc:208
mul_mat3_m4_fl
void mul_mat3_m4_fl(float R[4][4], float f)
Definition math_matrix_c.cc:890
mul_v4_m4v4
void mul_v4_m4v4(float r[4], const float mat[4][4], const float v[4])
Definition math_matrix_c.cc:783
mul_m3_m3_pre
void mul_m3_m3_pre(float R[3][3], const float A[3][3])
Definition math_matrix_c.cc:300
pseudoinverse_m3_m3
void pseudoinverse_m3_m3(float inverse[3][3], const float mat[3][3], float epsilon)
Definition math_matrix_c.cc:2835
BLI_space_transform_apply
void BLI_space_transform_apply(const struct SpaceTransform *data, float co[3])
size_to_mat3
void size_to_mat3(float R[3][3], const float size[3])
Definition math_matrix_c.cc:1888
_va_mul_m4_series_7
void _va_mul_m4_series_7(float r[4][4], const float m1[4][4], const float m2[4][4], const float m3[4][4], const float m4[4][4], const float m5[4][4], const float m6[4][4]) ATTR_NONNULL()
Definition math_matrix_c.cc:587
normalize_m3_m3
void normalize_m3_m3(float R[3][3], const float M[3][3]) ATTR_NONNULL()
Definition math_matrix_c.cc:1723
mul_v3_m3v3_db
void mul_v3_m3v3_db(double r[3], const double M[3][3], const double a[3])
Definition math_matrix_c.cc:819
normalize_m2_m2
void normalize_m2_m2(float R[2][2], const float M[2][2]) ATTR_NONNULL()
Definition math_matrix_c.cc:1707
copy_m3_m3
void copy_m3_m3(float m1[3][3], const float m2[3][3])
Definition math_matrix_c.cc:73
mat4_decompose
void mat4_decompose(float loc[3], float quat[4], float size[3], const float wmat[4][4])
Definition math_matrix_c.cc:2009
is_orthogonal_m4
bool is_orthogonal_m4(const float m[4][4])
Definition math_matrix_c.cc:1626
adjoint_m3_m3
void adjoint_m3_m3(float R[3][3], const float M[3][3])
Definition math_matrix_c.cc:1775
_va_mul_m3_series_6
void _va_mul_m3_series_6(float r[3][3], const float m1[3][3], const float m2[3][3], const float m3[3][3], const float m4[3][3], const float m5[3][3]) ATTR_NONNULL()
Definition math_matrix_c.cc:473
unit_m3
void unit_m3(float m[3][3])
Definition math_matrix_c.cc:42
mul_m3_v2
void mul_m3_v2(const float m[3][3], float r[2])
Definition math_matrix_c.cc:657
mat3_to_rot_size
void mat3_to_rot_size(float rot[3][3], float size[3], const float mat3[3][3])
Definition math_matrix_c.cc:1974
_va_mul_m3_series_3
void _va_mul_m3_series_3(float r[3][3], const float m1[3][3], const float m2[3][3]) ATTR_NONNULL()
Definition math_matrix_c.cc:448
blend_m4_m4m4
void blend_m4_m4m4(float out[4][4], const float dst[4][4], const float src[4][4], float srcweight)
Definition math_matrix_c.cc:2154
add_m4_m4m4
void add_m4_m4m4(float R[4][4], const float A[4][4], const float B[4][4])
Definition math_matrix_c.cc:945
scale_m3_fl
void scale_m3_fl(float R[3][3], float scale)
Definition math_matrix_c.cc:2045
copy_m3_m4
void copy_m3_m4(float m1[3][3], const float m2[4][4])
Definition math_matrix_c.cc:89
determinant_m4_mat3_array
float determinant_m4_mat3_array(const float m[4][4])
Definition math_matrix_c.cc:996
mul_m4_m4m3
void mul_m4_m4m3(float R[4][4], const float A[4][4], const float B[3][3])
Definition math_matrix_c.cc:331
normalize_m4_m4
void normalize_m4_m4(float rmat[4][4], const float mat[4][4]) ATTR_NONNULL()
Definition math_matrix_c.cc:1752
mul_v3_m4v3_db
void mul_v3_m4v3_db(double r[3], const double mat[4][4], const double vec[3])
Definition math_matrix_c.cc:682
transpose_m4_m4
void transpose_m4_m4(float R[4][4], const float M[4][4])
Definition math_matrix_c.cc:1251
mul_m4_m4_pre
void mul_m4_m4_pre(float R[4][4], const float A[4][4])
Definition math_matrix_c.cc:290
mul_m3_fl
void mul_m3_fl(float R[3][3], float f)
Definition math_matrix_c.cc:868
mul_v2_m3v3
void mul_v2_m3v3(float r[2], const float M[3][3], const float a[3])
Definition math_matrix_c.cc:829
mul_m4db_m4db_m4fl
void mul_m4db_m4db_m4fl(double R[4][4], const double A[4][4], const float B[4][4])
Definition math_matrix_c.cc:258
orthogonalize_m3
void orthogonalize_m3(float R[3][3], int axis)
Definition math_matrix_c.cc:1287
copy_m3_m3d
void copy_m3_m3d(float m1[3][3], const double m2[3][3])
Definition math_matrix_c.cc:166
invert_m3_m3
bool invert_m3_m3(float inverse[3][3], const float mat[3][3])
Definition math_matrix_c.cc:1028
mul_m3_m3_post
void mul_m3_m3_post(float R[3][3], const float B[3][3])
Definition math_matrix_c.cc:305
add_m3_m3m3
void add_m3_m3m3(float R[3][3], const float A[3][3], const float B[3][3])
Definition math_matrix_c.cc:934
copy_m4_m3
void copy_m4_m3(float m1[4][4], const float m2[3][3])
Definition math_matrix_c.cc:104
is_uniform_scaled_m3
bool is_uniform_scaled_m3(const float m[3][3])
Definition math_matrix_c.cc:1675
loc_rot_size_to_mat4
void loc_rot_size_to_mat4(float R[4][4], const float loc[3], const float rot[3][3], const float size[3])
Definition math_matrix_c.cc:2276
mat4_to_size_fix_shear
void mat4_to_size_fix_shear(float size[3], const float M[4][4])
Definition math_matrix_c.cc:1940
is_uniform_scaled_m4
bool is_uniform_scaled_m4(const float m[4][4])
Definition math_matrix_c.cc:1700
mat4_to_loc_rot_size
void mat4_to_loc_rot_size(float loc[3], float rot[3][3], float size[3], const float wmat[4][4])
Definition math_matrix_c.cc:1986
svd_m4
void svd_m4(float U[4][4], float s[4], float V[4][4], float A_[4][4])
Definition math_matrix_c.cc:2377
is_orthonormal_m3
bool is_orthonormal_m3(const float m[3][3])
Definition math_matrix_c.cc:1641
zero_m3
void zero_m3(float m[3][3])
Definition math_matrix_c.cc:25
translate_m4
void translate_m4(float mat[4][4], float Tx, float Ty, float Tz)
Definition math_matrix_c.cc:2063
has_zero_axis_m4
bool has_zero_axis_m4(const float matrix[4][4])
Definition math_matrix_c.cc:2847
normalize_m3
void normalize_m3(float R[3][3]) ATTR_NONNULL()
Definition math_matrix_c.cc:1715
transform_pivot_set_m4
void transform_pivot_set_m4(float mat[4][4], const float pivot[3])
Definition math_matrix_c.cc:2114
determinant_m2
float determinant_m2(float a, float b, float c, float d)
Definition math_matrix_c.cc:1837
_va_mul_m4_series_6
void _va_mul_m4_series_6(float r[4][4], const float m1[4][4], const float m2[4][4], const float m3[4][4], const float m4[4][4], const float m5[4][4]) ATTR_NONNULL()
Definition math_matrix_c.cc:573
equals_m3m3
bool equals_m3m3(const float mat1[3][3], const float mat2[3][3])
Definition math_matrix_c.cc:2264
_va_mul_m4_series_5
void _va_mul_m4_series_5(float r[4][4], const float m1[4][4], const float m2[4][4], const float m3[4][4], const float m4[4][4]) ATTR_NONNULL()
Definition math_matrix_c.cc:561
rescale_m4
void rescale_m4(float mat[4][4], const float scale[3])
Definition math_matrix_c.cc:2107
loc_eulO_size_to_mat4
void loc_eulO_size_to_mat4(float R[4][4], const float loc[3], const float eul[3], const float size[3], short order)
Definition math_matrix_c.cc:2310
size_to_mat4
void size_to_mat4(float R[4][4], const float size[3])
Definition math_matrix_c.cc:1901
mul_project_m4_v3
void mul_project_m4_v3(const float mat[4][4], float vec[3])
Definition math_matrix_c.cc:753
unit_m4_db
void unit_m4_db(double m[4][4])
Definition math_matrix_c.cc:59
_va_mul_m3_series_4
void _va_mul_m3_series_4(float r[3][3], const float m1[3][3], const float m2[3][3], const float m3[3][3]) ATTR_NONNULL()
Definition math_matrix_c.cc:452
copy_m4d_m4
void copy_m4d_m4(double m1[4][4], const float m2[4][4])
Definition math_matrix_c.cc:143
BLI_space_transform_global_from_matrices
void BLI_space_transform_global_from_matrices(struct SpaceTransform *data, const float local[4][4], const float target[4][4])
Definition math_matrix_c.cc:2922
mul_m4_v3
void mul_m4_v3(const float M[4][4], float r[3])
Definition math_matrix_c.cc:662
invert_m4_m4_safe
void invert_m4_m4_safe(float inverse[4][4], const float mat[4][4])
Definition math_matrix_c.cc:2853
orthogonalize_m4_stable
void orthogonalize_m4_stable(float R[4][4], int axis, bool normalize)
Definition math_matrix_c.cc:1508
scale_m4_fl
void scale_m4_fl(float R[4][4], float scale)
Definition math_matrix_c.cc:2053
adjoint_m4_m4
void adjoint_m4_m4(float R[4][4], const float M[4][4])
Definition math_matrix_c.cc:1791
equals_m4m4
bool equals_m4m4(const float mat1[4][4], const float mat2[4][4])
Definition math_matrix_c.cc:2270
invert_m3_m3_safe_ortho
void invert_m3_m3_safe_ortho(float inverse[3][3], const float mat[3][3])
Definition math_matrix_c.cc:2899
mul_m4_m4m4_split_channels
void mul_m4_m4m4_split_channels(float R[4][4], const float A[4][4], const float B[4][4])
Definition math_matrix_c.cc:1162
determinant_m4
float determinant_m4(const float m[4][4])
Definition math_matrix_c.cc:1853
swap_m4m4
void swap_m4m4(float m1[4][4], float m2[4][4])
Definition math_matrix_c.cc:182
transpose_m3_m4
void transpose_m3_m4(float R[3][3], const float M[4][4])
Definition math_matrix_c.cc:1210
_va_mul_m3_series_8
void _va_mul_m3_series_8(float r[3][3], const float m1[3][3], const float m2[3][3], const float m3[3][3], const float m4[3][3], const float m5[3][3], const float m6[3][3], const float m7[3][3]) ATTR_NONNULL()
Definition math_matrix_c.cc:503
copy_m2_m2
void copy_m2_m2(float m1[2][2], const float m2[2][2])
Definition math_matrix_c.cc:68
mat3_polar_decompose
void mat3_polar_decompose(const float mat3[3][3], float r_U[3][3], float r_P[3][3])
Definition math_matrix_c.cc:2026
mul_v2_m2v2
void mul_v2_m2v2(float r[2], const float mat[2][2], const float vec[2])
Definition math_matrix_c.cc:710
_va_mul_m4_series_4
void _va_mul_m4_series_4(float r[4][4], const float m1[4][4], const float m2[4][4], const float m3[4][4]) ATTR_NONNULL()
Definition math_matrix_c.cc:552
_va_mul_m4_series_9
void _va_mul_m4_series_9(float r[4][4], const float m1[4][4], const float m2[4][4], const float m3[4][4], const float m4[4][4], const float m5[4][4], const float m6[4][4], const float m7[4][4], const float m8[4][4]) ATTR_NONNULL()
Definition math_matrix_c.cc:621
normalize_m4_ex
void normalize_m4_ex(float R[4][4], float r_scale[3]) ATTR_NONNULL()
Definition math_matrix_c.cc:1731
_va_mul_m3_series_9
void _va_mul_m3_series_9(float r[3][3], const float m1[3][3], const float m2[3][3], const float m3[3][3], const float m4[3][3], const float m5[3][3], const float m6[3][3], const float m7[3][3], const float m8[3][3]) ATTR_NONNULL()
Definition math_matrix_c.cc:521
_va_mul_m3_series_7
void _va_mul_m3_series_7(float r[3][3], const float m1[3][3], const float m2[3][3], const float m3[3][3], const float m4[3][3], const float m5[3][3], const float m6[3][3]) ATTR_NONNULL()
Definition math_matrix_c.cc:487
copy_m4_m4
void copy_m4_m4(float m1[4][4], const float m2[4][4])
Definition math_matrix_c.cc:79
mat4_to_loc_quat
void mat4_to_loc_quat(float loc[3], float quat[4], const float wmat[4][4])
Definition math_matrix_c.cc:1997
interp_m3_m3m3
void interp_m3_m3m3(float R[3][3], const float A[3][3], const float B[3][3], float t)
Definition math_matrix_c.cc:2181
mul_transposed_mat3_m4_v3
void mul_transposed_mat3_m4_v3(const float M[4][4], float r[3])
Definition math_matrix_c.cc:858
mul_m3_m3m4
void mul_m3_m3m4(float R[3][3], const float A[3][3], const float B[4][4])
Definition math_matrix_c.cc:357
_va_mul_m4_series_3
void _va_mul_m4_series_3(float r[4][4], const float m1[4][4], const float m2[4][4]) ATTR_NONNULL()
Definition math_matrix_c.cc:548
is_orthonormal_m4
bool is_orthonormal_m4(const float m[4][4])
Definition math_matrix_c.cc:1658
mul_m3_v3_db
void mul_m3_v3_db(const double M[3][3], double r[3])
Definition math_matrix_c.cc:843
madd_m3_m3m3fl
void madd_m3_m3m3fl(float R[3][3], const float A[3][3], const float B[3][3], float f)
Definition math_matrix_c.cc:956
mat4_to_size_max_axis
float mat4_to_size_max_axis(const float M[4][4])
Definition math_matrix_c.cc:1935
mul_v3_m4v3
void mul_v3_m4v3(float r[3], const float mat[4][4], const float vec[3])
Definition math_matrix_c.cc:672
determinant_m3_array
float determinant_m3_array(const float m[3][3])
Definition math_matrix_c.cc:989
_va_mul_m4_series_8
void _va_mul_m4_series_8(float r[4][4], const float m1[4][4], const float m2[4][4], const float m3[4][4], const float m4[4][4], const float m5[4][4], const float m6[4][4], const float m7[4][4]) ATTR_NONNULL()
Definition math_matrix_c.cc:603
shuffle_m4
void shuffle_m4(float R[4][4], const int index[4])
Definition math_matrix_c.cc:196
is_negative_m4
bool is_negative_m4(const float mat[4][4])
Definition math_matrix_c.cc:2252
negate_mat3_m4
void negate_mat3_m4(float R[4][4])
Definition math_matrix_c.cc:912
invert_m4_m4
bool invert_m4_m4(float inverse[4][4], const float mat[4][4])
Definition math_matrix_c.cc:1135
mul_v2_m3v2
void mul_v2_m3v2(float r[2], const float m[3][3], const float v[2])
Definition math_matrix_c.cc:644
mul_m4_m4m4_aligned_scale
void mul_m4_m4m4_aligned_scale(float R[4][4], const float A[4][4], const float B[4][4])
Definition math_matrix_c.cc:1146
print_m3
void print_m3(const char *str, const float m[3][3])
Definition math_matrix_c.cc:2358
mul_m4_v4
void mul_m4_v4(const float mat[4][4], float r[4])
Definition math_matrix_c.cc:795
rotate_m4
void rotate_m4(float mat[4][4], char axis, float angle)
Definition math_matrix_c.cc:2070
loc_quat_size_to_mat4
void loc_quat_size_to_mat4(float R[4][4], const float loc[3], const float quat[4], const float size[3])
Definition math_matrix_c.cc:2332
mul_v3_m3v3
void mul_v3_m3v3(float r[3], const float M[3][3], const float a[3])
Definition math_matrix_c.cc:809
loc_eul_size_to_mat4
void loc_eul_size_to_mat4(float R[4][4], const float loc[3], const float eul[3], const float size[3])
Definition math_matrix_c.cc:2286
invert_m4
bool invert_m4(float mat[4][4])
Definition math_matrix_c.cc:1054
BLI_space_transform_invert_normal
void BLI_space_transform_invert_normal(const struct SpaceTransform *data, float no[3])
mat4_to_size
void mat4_to_size(float size[3], const float M[4][4])
Definition math_matrix_c.cc:1928
transpose_m3
void transpose_m3(float R[3][3])
Definition math_matrix_c.cc:1180
BLI_space_transform_invert
void BLI_space_transform_invert(const struct SpaceTransform *data, float co[3])
determinant_m3
float determinant_m3(float a1, float a2, float a3, float b1, float b2, float b3, float c1, float c2, float c3)
Definition math_matrix_c.cc:1842
mul_m2_v2
void mul_m2_v2(const float mat[2][2], float vec[2])
Definition math_matrix_c.cc:718
invert_m4_m4_safe_ortho
void invert_m4_m4_safe_ortho(float inverse[4][4], const float mat[4][4])
Definition math_matrix_c.cc:2888
transpose_m3_m3
void transpose_m3_m3(float R[3][3], const float M[3][3])
Definition math_matrix_c.cc:1195
blend_m3_m3m3
void blend_m3_m3m3(float out[3][3], const float dst[3][3], const float src[3][3], float srcweight)
Definition math_matrix_c.cc:2128
orthogonalize_m3_zero_axes
bool orthogonalize_m3_zero_axes(float m[3][3], float unit_length)
Definition math_matrix_c.cc:1598
negate_m4
void negate_m4(float R[4][4])
Definition math_matrix_c.cc:923
mul_transposed_m3_v3
void mul_transposed_m3_v3(const float M[3][3], float r[3])
Definition math_matrix_c.cc:848
compare_m4m4
bool compare_m4m4(const float mat1[4][4], const float mat2[4][4], float limit)
Definition math_matrix_c.cc:1273
copy_m3d_m3
void copy_m3d_m3(double m1[3][3], const float m2[3][3])
Definition math_matrix_c.cc:128
pseudoinverse_m4_m4
void pseudoinverse_m4_m4(float inverse[4][4], const float mat[4][4], float epsilon)
Definition math_matrix_c.cc:2813
mul_v3_mat3_m4v3_db
void mul_v3_mat3_m4v3_db(double r[3], const double mat[4][4], const double vec[3])
Definition math_matrix_c.cc:743
_va_mul_m3_series_5
void _va_mul_m3_series_5(float r[3][3], const float m1[3][3], const float m2[3][3], const float m3[3][3], const float m4[3][3]) ATTR_NONNULL()
Definition math_matrix_c.cc:461
mul_m3_m3m3
void mul_m3_m3m3(float R[3][3], const float A[3][3], const float B[3][3])
Definition math_matrix_c.cc:310
print_m4
void print_m4(const char *str, const float m[4][4])
Definition math_matrix_c.cc:2367
orthogonalize_m4_zero_axes
bool orthogonalize_m4_zero_axes(float m[4][4], float unit_length)
Definition math_matrix_c.cc:1603
is_zero_m4
bool is_zero_m4(const float mat[4][4])
Definition math_matrix_c.cc:2259
mat3_to_size
void mat3_to_size(float size[3], const float M[3][3])
Definition math_matrix_c.cc:1921
mul_m4_m3m4
void mul_m4_m3m4(float R[4][4], const float A[3][3], const float B[4][4])
Definition math_matrix_c.cc:405
transpose_m4
void transpose_m4(float R[4][4])
Definition math_matrix_c.cc:1225
mul_m4_m4_post
void mul_m4_m4_post(float R[4][4], const float B[4][4])
Definition math_matrix_c.cc:295
mul_v3_mat3_m4v3
void mul_v3_mat3_m4v3(float r[3], const float mat[4][4], const float vec[3])
Definition math_matrix_c.cc:733
invert_m3
bool invert_m3(float mat[3][3])
Definition math_matrix_c.cc:1019
mul_mat3_m4_v3
void mul_mat3_m4_v3(const float mat[4][4], float r[3])
Definition math_matrix_c.cc:723
mul_m3_m4m4
void mul_m3_m4m4(float R[3][3], const float A[4][4], const float B[4][4])
Definition math_matrix_c.cc:431
copy_m4_m4_db
void copy_m4_m4_db(double m1[4][4], const double m2[4][4])
Definition math_matrix_c.cc:84
invert_m4_m4_fallback
bool invert_m4_m4_fallback(float inverse[4][4], const float mat[4][4])
Definition math_matrix_c.cc:1063
mul_m3_m4m3
void mul_m3_m4m3(float R[3][3], const float A[4][4], const float B[3][3])
Definition math_matrix_c.cc:381
normalize_m4
void normalize_m4(float R[4][4]) ATTR_NONNULL()
Definition math_matrix_c.cc:1741
adjoint_m2_m2
void adjoint_m2_m2(float R[2][2], const float M[2][2])
Definition math_matrix_c.cc:1762
unit_m4
void unit_m4(float m[4][4])
Definition math_matrix_c.cc:50
angle
static double angle(const Eigen::Vector3d &v1, const Eigen::Vector3d &v2)
Definition IK_Math.h:117
U
#define U
data
BMesh const char void * data
Definition bmesh_iterators_inline.hh:37
v
ATTR_WARN_UNUSED_RESULT const BMVert * v
Definition bmesh_query_inline.hh:23
A
#define A
size
static DBVT_INLINE btScalar size(const btDbvtVolume &a)
Definition btDbvt.cpp:52
b
b
Definition compositor_morphological_distance_info.hh:24
rot
#define rot(x, k)
str
#define str(s)
Definition ffmpeg_codecs.cc:103
inverse
MatBase< C, R > inverse(MatBase< C, R >) RET
normalize
VecBase< float, D > normalize(VecOp< float, D >) RET
out
#define out
Definition gpu_glsl_cpp_stubs.hh:947
M
#define M
Definition mathutils_noise.cc:49
B
#define B
Definition mball_tessellate.cc:273
R
#define R
Definition mball_tessellate.cc:272
SpaceTransform::local2target
float local2target[4][4]
Definition BLI_math_matrix.h:529
SpaceTransform::target2local
float target2local[4][4]
Definition BLI_math_matrix.h:530
V
CCL_NAMESPACE_BEGIN struct Window V
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