BLI_math_matrix.h File Reference

#include "BLI_compiler_attrs.h"
#include "BLI_sys_types.h"

Go to the source code of this file.

Classes
struct	SpaceTransform

Macros
#define	mul_m3_series(...)   VA_NARGS_CALL_OVERLOAD(_va_mul_m3_series_, __VA_ARGS__)
#define	mul_m4_series(...)   VA_NARGS_CALL_OVERLOAD(_va_mul_m4_series_, __VA_ARGS__)
#define	PSEUDOINVERSE_EPSILON   1e-8f
#define	BLI_SPACE_TRANSFORM_SETUP(data, local, target)    BLI_space_transform_from_matrices((data), (local)->obmat, (target)->obmat)
#define	print_m3_id(M)   print_m3(STRINGIFY(M), M)
#define	print_m4_id(M)   print_m4(STRINGIFY(M), M)

Typedefs
typedef struct SpaceTransform	SpaceTransform

Functions
void	zero_m2 (float m[2][2])
void	zero_m3 (float m[3][3])
void	zero_m4 (float m[4][4])
void	unit_m2 (float m[2][2])
void	unit_m3 (float m[3][3])
void	unit_m4 (float m[4][4])
void	unit_m4_db (double m[4][4])
void	copy_m2_m2 (float m1[2][2], const float m2[2][2])
void	copy_m3_m3 (float m1[3][3], const float m2[3][3])
void	copy_m4_m4 (float m1[4][4], const float m2[4][4])
void	copy_m3_m4 (float m1[3][3], const float m2[4][4])
void	copy_m4_m3 (float m1[4][4], const float m2[3][3])
void	copy_m3_m2 (float m1[3][3], const float m2[2][2])
void	copy_m4_m2 (float m1[4][4], const float m2[2][2])
void	copy_m4_m4_db (double m1[4][4], const double m2[4][4])
void	copy_m3_m3d (float m1[3][3], const double m2[3][3])
void	copy_m4d_m4 (double m1[4][4], const float m2[4][4])
void	swap_m3m3 (float m1[3][3], float m2[3][3])
void	swap_m4m4 (float m1[4][4], float m2[4][4])
void	shuffle_m4 (float R[4][4], const int index[4])
void	add_m3_m3m3 (float R[3][3], const float A[3][3], const float B[3][3])
void	add_m4_m4m4 (float R[4][4], const float A[4][4], const float B[4][4])
void	madd_m3_m3m3fl (float R[3][3], const float A[3][3], const float B[3][3], const float f)
void	madd_m4_m4m4fl (float R[4][4], const float A[4][4], const float B[4][4], const float f)
void	sub_m3_m3m3 (float R[3][3], const float A[3][3], const float B[3][3])
void	sub_m4_m4m4 (float R[4][4], const float A[4][4], const float B[4][4])
void	mul_m3_m3m3 (float R[3][3], const float A[3][3], const float B[3][3])
void	mul_m4_m3m4 (float R[4][4], const float A[3][3], const float B[4][4])
void	mul_m4_m4m3 (float R[4][4], const float A[4][4], const float B[3][3])
void	mul_m4_m4m4 (float R[4][4], const float A[4][4], const float B[4][4])
void	mul_m3_m3m4 (float R[3][3], const float A[3][3], const float B[4][4])
void	mul_m3_m4m3 (float R[3][3], const float A[4][4], const float B[3][3])
void	mul_m3_m4m4 (float R[3][3], const float A[4][4], const float B[4][4])
void	mul_m3_m3m3_uniq (float R[3][3], const float A[3][3], const float B[3][3])
void	mul_m3_m3_pre (float R[3][3], const float A[3][3])
void	mul_m3_m3_post (float R[3][3], const float B[3][3])
void	mul_m4_m4m4_uniq (float R[4][4], const float A[4][4], const float B[4][4])
void	mul_m4_m4m4_db_uniq (double R[4][4], const double A[4][4], const double B[4][4])
void	mul_m4db_m4db_m4fl_uniq (double R[4][4], const double A[4][4], const float B[4][4])
void	mul_m4_m4_pre (float R[4][4], const float A[4][4])
void	mul_m4_m4_post (float R[4][4], const float B[4][4])
void	_va_mul_m3_series_3 (float R[3][3], const float M1[3][3], const float M2[3][3]) ATTR_NONNULL()
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()
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()
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()
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()
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()
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()
void	_va_mul_m4_series_3 (float R[4][4], const float M1[4][4], const float M2[4][4]) ATTR_NONNULL()
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()
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()
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()
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()
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()
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()
void	mul_m4_v3 (const float M[4][4], float r[3])
void	mul_v3_m4v3 (float r[3], const float M[4][4], const float v[3])
void	mul_v3_m4v3_db (double r[3], const double mat[4][4], const double vec[3])
void	mul_v4_m4v3_db (double r[4], const double mat[4][4], const double vec[3])
void	mul_v2_m4v3 (float r[2], const float M[4][4], const float v[3])
void	mul_v2_m2v2 (float r[2], const float M[2][2], const float v[2])
void	mul_m2_v2 (const float M[2][2], float v[2])
void	mul_mat3_m4_v3 (const float M[4][4], float r[3])
void	mul_v3_mat3_m4v3 (float r[3], const float M[4][4], const float v[3])
void	mul_v3_mat3_m4v3_db (double r[3], const double M[4][4], const double v[3])
void	mul_m4_v4 (const float M[4][4], float r[4])
void	mul_v4_m4v4 (float r[4], const float M[4][4], const float v[4])
void	mul_v4_m4v3 (float r[4], const float M[4][4], const float v[3])
void	mul_project_m4_v3 (const float M[4][4], float vec[3])
void	mul_v3_project_m4_v3 (float r[3], const float mat[4][4], const float vec[3])
void	mul_v2_project_m4_v3 (float r[2], const float M[4][4], const float vec[3])
void	mul_m3_v2 (const float m[3][3], float r[2])
void	mul_v2_m3v2 (float r[2], const float m[3][3], const float v[2])
void	mul_m3_v3 (const float M[3][3], float r[3])
void	mul_v3_m3v3 (float r[3], const float M[3][3], const float a[3])
void	mul_v2_m3v3 (float r[2], const float M[3][3], const float a[3])
void	mul_transposed_m3_v3 (const float M[3][3], float r[3])
void	mul_transposed_mat3_m4_v3 (const float M[4][4], float r[3])
void	mul_m3_v3_double (const float M[3][3], double r[3])
void	mul_m4_m4m4_aligned_scale (float R[4][4], const float A[4][4], const float B[4][4])
void	mul_m3_fl (float R[3][3], float f)
void	mul_m4_fl (float R[4][4], float f)
void	mul_mat3_m4_fl (float R[4][4], float f)
void	negate_m3 (float R[3][3])
void	negate_mat3_m4 (float R[4][4])
void	negate_m4 (float R[4][4])
bool	invert_m3_ex (float m[3][3], const float epsilon)
bool	invert_m3_m3_ex (float m1[3][3], const float m2[3][3], const float epsilon)
bool	invert_m3 (float R[3][3])
bool	invert_m3_m3 (float R[3][3], const float A[3][3])
bool	invert_m4 (float R[4][4])
bool	invert_m4_m4 (float R[4][4], const float A[4][4])
bool	invert_m4_m4_fallback (float R[4][4], const float A[4][4])
void	mul_m4_v4d (const float M[4][4], double r[4])
void	mul_v4d_m4v4d (double r[4], const float M[4][4], const double v[4])
void	mul_v3_m3v3_db (double r[3], const double M[3][3], const double a[3])
void	mul_m3_v3_db (const double M[3][3], double r[3])
void	transpose_m3 (float R[3][3])
void	transpose_m3_m3 (float R[3][3], const float M[3][3])
void	transpose_m3_m4 (float R[3][3], const float M[4][4])
void	transpose_m4 (float R[4][4])
void	transpose_m4_m4 (float R[4][4], const float M[4][4])
bool	compare_m4m4 (const float mat1[4][4], const float mat2[4][4], float limit)
void	normalize_m2_ex (float R[2][2], float r_scale[2]) ATTR_NONNULL()
void	normalize_m2 (float R[2][2]) ATTR_NONNULL()
void	normalize_m2_m2_ex (float R[2][2], const float M[2][2], float r_scale[2]) ATTR_NONNULL()
void	normalize_m2_m2 (float R[2][2], const float M[2][2]) ATTR_NONNULL()
void	normalize_m3_ex (float R[3][3], float r_scale[3]) ATTR_NONNULL()
void	normalize_m3 (float R[3][3]) ATTR_NONNULL()
void	normalize_m3_m3_ex (float R[3][3], const float M[3][3], float r_scale[3]) ATTR_NONNULL()
void	normalize_m3_m3 (float R[3][3], const float M[3][3]) ATTR_NONNULL()
void	normalize_m4_ex (float R[4][4], float r_scale[3]) ATTR_NONNULL()
void	normalize_m4 (float R[4][4]) ATTR_NONNULL()
void	normalize_m4_m4_ex (float R[4][4], const float M[4][4], float r_scale[3]) ATTR_NONNULL()
void	normalize_m4_m4 (float R[4][4], const float M[4][4]) ATTR_NONNULL()
void	orthogonalize_m3 (float R[3][3], int axis)
void	orthogonalize_m4 (float R[4][4], int axis)
void	orthogonalize_m3_stable (float R[3][3], int axis, bool normalize)
void	orthogonalize_m4_stable (float R[4][4], int axis, bool normalize)
bool	orthogonalize_m3_zero_axes (float R[3][3], const float unit_length)
bool	orthogonalize_m4_zero_axes (float R[4][4], const float unit_length)
bool	is_orthogonal_m3 (const float mat[3][3])
bool	is_orthogonal_m4 (const float mat[4][4])
bool	is_orthonormal_m3 (const float mat[3][3])
bool	is_orthonormal_m4 (const float mat[4][4])
bool	is_uniform_scaled_m3 (const float mat[3][3])
bool	is_uniform_scaled_m4 (const float m[4][4])
void	adjoint_m2_m2 (float R[2][2], const float M[2][2])
void	adjoint_m3_m3 (float R[3][3], const float M[3][3])
void	adjoint_m4_m4 (float R[4][4], const float M[4][4])
float	determinant_m2 (float a, float b, float c, float d)
float	determinant_m3 (float a1, float a2, float a3, float b1, float b2, float b3, float c1, float c2, float c3)
float	determinant_m3_array (const float m[3][3])
float	determinant_m4_mat3_array (const float m[4][4])
float	determinant_m4 (const float m[4][4])
void	svd_m4 (float U[4][4], float s[4], float V[4][4], float A[4][4])
void	pseudoinverse_m4_m4 (float Ainv[4][4], const float A[4][4], float epsilon)
void	pseudoinverse_m3_m3 (float Ainv[3][3], const float A[3][3], float epsilon)
bool	has_zero_axis_m4 (const float matrix[4][4])
void	invert_m4_m4_safe (float Ainv[4][4], const float A[4][4])
void	invert_m3_m3_safe_ortho (float Ainv[3][3], const float A[3][3])
void	invert_m4_m4_safe_ortho (float Ainv[4][4], const float A[4][4])
void	scale_m3_fl (float R[3][3], float scale)
void	scale_m4_fl (float R[4][4], float scale)
float	mat3_to_volume_scale (const float M[3][3])
float	mat4_to_volume_scale (const float M[4][4])
float	mat3_to_scale (const float M[3][3])
float	mat4_to_scale (const float M[4][4])
float	mat4_to_xy_scale (const float M[4][4])
void	size_to_mat3 (float R[3][3], const float size[3])
void	size_to_mat4 (float R[4][4], const float size[3])
void	mat3_to_size (float size[3], const float M[3][3])
void	mat4_to_size (float size[3], const float M[4][4])
void	mat4_to_size_fix_shear (float size[3], const float M[4][4])
void	translate_m3 (float mat[3][3], float tx, float ty)
void	translate_m4 (float mat[4][4], float tx, float ty, float tz)
void	rotate_m3 (float mat[3][3], const float angle)
void	rotate_m4 (float mat[4][4], const char axis, const float angle)
void	rescale_m3 (float mat[3][3], const float scale[2])
void	rescale_m4 (float mat[4][4], const float scale[3])
void	transform_pivot_set_m3 (float mat[3][3], const float pivot[2])
void	transform_pivot_set_m4 (float mat[4][4], const float pivot[3])
void	mat4_to_rot (float rot[3][3], const float wmat[4][4])
void	mat3_to_rot_size (float rot[3][3], float size[3], const float mat3[3][3])
void	mat4_to_loc_rot_size (float loc[3], float rot[3][3], float size[3], const float wmat[4][4])
void	mat4_to_loc_quat (float loc[3], float quat[4], const float wmat[4][4])
void	mat4_decompose (float loc[3], float quat[4], float size[3], const float wmat[4][4])
void	mat3_polar_decompose (const float mat3[3][3], float r_U[3][3], float r_P[3][3])
void	loc_rot_size_to_mat3 (float R[3][3], const float loc[2], const float angle, const float size[2])
void	loc_rot_size_to_mat4 (float R[4][4], const float loc[3], const float rot[3][3], const float size[3])
void	loc_eul_size_to_mat4 (float R[4][4], const float loc[3], const float eul[3], const float size[3])
void	loc_eulO_size_to_mat4 (float R[4][4], const float loc[3], const float eul[3], const float size[3], const short order)
void	loc_quat_size_to_mat4 (float R[4][4], const float loc[3], const float quat[4], const float size[3])
void	loc_axisangle_size_to_mat4 (float R[4][4], const float loc[3], const float axis[4], const float angle, const float size[3])
void	blend_m3_m3m3 (float out[3][3], const float dst[3][3], const float src[3][3], const float srcweight)
void	blend_m4_m4m4 (float out[4][4], const float dst[4][4], const float src[4][4], const float srcweight)
void	interp_m3_m3m3 (float R[3][3], const float A[3][3], const float B[3][3], const float t)
void	interp_m4_m4m4 (float R[4][4], const float A[4][4], const float B[4][4], const float t)
bool	is_negative_m3 (const float mat[3][3])
bool	is_negative_m4 (const float mat[4][4])
bool	is_zero_m3 (const float mat[3][3])
bool	is_zero_m4 (const float mat[4][4])
bool	equals_m3m3 (const float mat1[3][3], const float mat2[3][3])
bool	equals_m4m4 (const float mat1[4][4], const float mat2[4][4])
void	BLI_space_transform_from_matrices (struct SpaceTransform *data, const float local[4][4], const float target[4][4])
void	BLI_space_transform_global_from_matrices (struct SpaceTransform *data, const float local[4][4], const float target[4][4])
void	BLI_space_transform_apply (const struct SpaceTransform *data, float co[3])
void	BLI_space_transform_invert (const struct SpaceTransform *data, float co[3])
void	BLI_space_transform_apply_normal (const struct SpaceTransform *data, float no[3])
void	BLI_space_transform_invert_normal (const struct SpaceTransform *data, float no[3])
void	print_m3 (const char *str, const float M[3][3])
void	print_m4 (const char *str, const float M[4][4])

Macro Definition Documentation

BLI_SPACE_TRANSFORM_SETUP

#define BLI_SPACE_TRANSFORM_SETUP	(		data,
			local,
			target
	)		BLI_space_transform_from_matrices((data), (local)->obmat, (target)->obmat)

Definition at line 408 of file BLI_math_matrix.h.

mul_m3_series

#define mul_m3_series

(

...

)

VA_NARGS_CALL_OVERLOAD(_va_mul_m3_series_, __VA_ARGS__)

Definition at line 184 of file BLI_math_matrix.h.

mul_m4_series

#define mul_m4_series

(

...

)

VA_NARGS_CALL_OVERLOAD(_va_mul_m4_series_, __VA_ARGS__)

Definition at line 185 of file BLI_math_matrix.h.

print_m3_id

#define print_m3_id

(

M

)

print_m3(STRINGIFY(M), M)

Definition at line 416 of file BLI_math_matrix.h.

print_m4_id

#define print_m4_id

(

M

)

print_m4(STRINGIFY(M), M)

Definition at line 417 of file BLI_math_matrix.h.

PSEUDOINVERSE_EPSILON

#define PSEUDOINVERSE_EPSILON   1e-8f

Definition at line 295 of file BLI_math_matrix.h.

Typedef Documentation

SpaceTransform

typedef struct SpaceTransform SpaceTransform

Function Documentation

_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]
	)

Definition at line 542 of file math_matrix.c.

References mul_m3_m3m3(), and r.

_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]
	)

Definition at line 546 of file math_matrix.c.

References mul_m3_m3m3(), and r.

_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]
	)

Definition at line 554 of file math_matrix.c.

References mul_m3_m3m3(), and r.

_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]
	)

Definition at line 564 of file math_matrix.c.

References mul_m3_m3m3(), and r.

_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]
	)

Definition at line 576 of file math_matrix.c.

References mul_m3_m3m3(), and r.

_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]
	)

Definition at line 590 of file math_matrix.c.

References mul_m3_m3m3(), and r.

_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]
	)

Definition at line 606 of file math_matrix.c.

References mul_m3_m3m3(), and r.

_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]
	)

Definition at line 630 of file math_matrix.c.

References mul_m4_m4m4(), and r.

_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]
	)

Definition at line 634 of file math_matrix.c.

References mul_m4_m4m4(), and r.

_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]
	)

Definition at line 642 of file math_matrix.c.

References mul_m4_m4m4(), and r.

_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]
	)

Definition at line 652 of file math_matrix.c.

References mul_m4_m4m4(), and r.

_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]
	)

Definition at line 664 of file math_matrix.c.

References mul_m4_m4m4(), and r.

_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]
	)

Definition at line 678 of file math_matrix.c.

References mul_m4_m4m4(), and r.

_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]
	)

Definition at line 694 of file math_matrix.c.

References mul_m4_m4m4(), and r.

add_m3_m3m3()

void add_m3_m3m3	(	float	R[3][3],
		const float	A[3][3],
		const float	B[3][3]
	)

Definition at line 1036 of file math_matrix.c.

References A, B, and R.

Referenced by apply_spring(), SIM_mass_spring_force_drag(), SIM_mass_spring_force_extern(), SIM_mass_spring_force_reference_frame(), SIM_mass_spring_force_spring_bending_hair(), SIM_mass_spring_force_spring_goal(), and vcloud_estimate_transform_v3().

add_m4_m4m4()

void add_m4_m4m4	(	float	R[4][4],
		const float	A[4][4],
		const float	B[4][4]
	)

Definition at line 1047 of file math_matrix.c.

References A, B, and R.

Referenced by add_weighted_dq_dq().

adjoint_m2_m2()

void adjoint_m2_m2	(	float	R[2][2],
		const float	M[2][2]
	)

Definition at line 1982 of file math_matrix.c.

References BLI_assert, M, and R.

Referenced by adjoint_matrix_n().

adjoint_m3_m3()

void adjoint_m3_m3	(	float	R[3][3],
		const float	M[3][3]
	)

Definition at line 1991 of file math_matrix.c.

References BLI_assert, M, and R.

Referenced by adjoint_matrix_n(), invert_m3_m3(), and invert_m3_m3_ex().

adjoint_m4_m4()

void adjoint_m4_m4	(	float	R[4][4],
		const float	M[4][4]
	)

Definition at line 2007 of file math_matrix.c.

References determinant_m3(), M, and R.

Referenced by adjoint_matrix_n().

blend_m3_m3m3()

void blend_m3_m3m3	(	float	out[3][3],
		const float	dst[3][3],
		const float	src[3][3],
		const float	srcweight
	)

Definition at line 2439 of file math_matrix.c.

References interp_qt_qtqt(), interp_v3_v3v3(), mat3_normalized_to_quat(), mat3_to_rot_size(), mul_m3_m3m3(), quat_to_mat3(), and size_to_mat3().

Referenced by execute_posetree(), and Matrix_lerp().

blend_m4_m4m4()

void blend_m4_m4m4	(	float	out[4][4],
		const float	dst[4][4],
		const float	src[4][4],
		const float	srcweight
	)

Definition at line 2465 of file math_matrix.c.

References interp_qt_qtqt(), interp_v3_v3v3(), loc_quat_size_to_mat4(), mat3_normalized_to_quat(), and mat4_to_loc_rot_size().

Referenced by BKE_tracking_camera_get_reconstructed_interpolate(), Matrix_lerp(), target_callback(), and warpModifier_do().

BLI_space_transform_apply()

void BLI_space_transform_apply	(	const struct SpaceTransform *	data,
		float	co[3]
	)

Referenced by BKE_mesh_remap_calc_difference_from_mesh(), BKE_mesh_remap_calc_edges_from_mesh(), BKE_mesh_remap_calc_loops_from_mesh(), BKE_mesh_remap_calc_polys_from_mesh(), BKE_mesh_remap_calc_verts_from_mesh(), BKE_shrinkwrap_compute_smooth_normal(), BKE_shrinkwrap_project_normal(), shrinkwrap_calc_nearest_surface_point_cb_ex(), shrinkwrap_calc_nearest_vertex_cb_ex(), shrinkwrap_get_tarmat(), SimpleDeformModifier_do(), and vert2geom_task_cb_ex().

BLI_space_transform_apply_normal()

void BLI_space_transform_apply_normal	(	const struct SpaceTransform *	data,
		float	no[3]
	)

Referenced by BKE_mesh_remap_calc_edges_from_mesh(), BKE_mesh_remap_calc_loops_from_mesh(), BKE_mesh_remap_calc_polys_from_mesh(), BKE_mesh_remap_calc_verts_from_mesh(), and BKE_shrinkwrap_project_normal().

BLI_space_transform_from_matrices()

void BLI_space_transform_from_matrices	(	SpaceTransform *	data,
		const float	local[4][4],
		const float	target[4][4]
	)

SpaceTransform struct encapsulates all needed data to convert between two coordinate spaces (where conversion can be represented by a matrix multiplication).

A SpaceTransform is initialized using:

• BLI_SPACE_TRANSFORM_SETUP(&data, ob1, ob2)

After that the following calls can be used:

• Converts a coordinate in ob1 space to the corresponding ob2 space: #BLI_space_transform_apply(&data, co);
• Converts a coordinate in ob2 space to the corresponding ob1 space: #BLI_space_transform_invert(&data, co);

Same concept as BLI_space_transform_apply and BLI_space_transform_invert, but no is normalized after conversion (and not translated at all!):

• #BLI_space_transform_apply_normal(&data, no);
• #BLI_space_transform_invert_normal(&data, no); Global-invariant transform.

This defines a matrix transforming a point in local space to a point in target space such that its global coordinates remain unchanged.

In other words, if we have a global point P with local coordinates (x, y, z) and global coordinates (X, Y, Z), this defines a transform matrix TM such that (x', y', z') = TM * (x, y, z) where (x', y', z') are the coordinates of P' in target space such that it keeps (X, Y, Z) coordinates in global space.

Definition at line 3342 of file math_matrix.c.

References data, invert_m4_m4(), and mul_m4_m4m4().

Referenced by shrinkwrap_get_tarmat().

BLI_space_transform_global_from_matrices()

void BLI_space_transform_global_from_matrices	(	SpaceTransform *	data,
		const float	local[4][4],
		const float	target[4][4]
	)

Local-invariant transform.

This defines a matrix transforming a point in global space such that its local coordinates (from local space to target space) remain unchanged.

In other words, if we have a local point p with local coordinates (x, y, z) and global coordinates (X, Y, Z), this defines a transform matrix TM such that (X', Y', Z') = TM * (X, Y, Z) where (X', Y', Z') are the coordinates of p' in global space such that it keeps (x, y, z) coordinates in target space.

Definition at line 3364 of file math_matrix.c.

References data, invert_m4_m4(), and mul_m4_m4m4().

Referenced by BKE_mesh_remap_find_best_match_from_mesh().

BLI_space_transform_invert()

void BLI_space_transform_invert	(	const struct SpaceTransform *	data,
		float	co[3]
	)

Referenced by BKE_shrinkwrap_project_normal(), shrinkwrap_calc_nearest_surface_point_cb_ex(), shrinkwrap_calc_nearest_vertex_cb_ex(), shrinkwrap_get_tarmat(), and SimpleDeformModifier_do().

BLI_space_transform_invert_normal()

void BLI_space_transform_invert_normal	(	const struct SpaceTransform *	data,
		float	no[3]
	)

Referenced by BKE_shrinkwrap_compute_smooth_normal(), BKE_shrinkwrap_project_normal(), customdata_data_transfer_interp_normal_normals(), and shrinkwrap_get_tarmat().

compare_m4m4()

bool compare_m4m4	(	const float	mat1[4][4],
		const float	mat2[4][4],
		float	limit
	)

Definition at line 1406 of file math_matrix.c.

References compare_v4v4().

Referenced by EEVEE_temporal_sampling_init(), and select_cache_init().

copy_m2_m2()

void copy_m2_m2	(	float	m1[2][2],
		const float	m2[2][2]
	)

Definition at line 84 of file math_matrix.c.

Referenced by matrix_invert_safe_internal().

copy_m3_m2()

void copy_m3_m2	(	float	m1[3][3],
		const float	m2[2][2]
	)

Definition at line 145 of file math_matrix.c.

copy_m3_m3()

void copy_m3_m3	(	float	m1[3][3],
		const float	m2[3][3]
	)

Definition at line 89 of file math_matrix.c.

Referenced by add_pose_transdata(), addMatrixSpace(), applyBoneSize(), applyResize(), applyShear(), applySkinResize(), applyTransformOrientation(), armature_vert_task_with_dvert(), base_surface_grids_write(), bezt_to_transdata(), BKE_crazyspace_build_sculpt(), BKE_object_rot_to_mat3(), build_emats_stack(), calc_initial_placement_point_from_view(), cancel_slide_point(), cloth_hair_update_bending_rest_targets(), cloth_hair_update_bending_targets(), colormanage_load_config(), connection_node_frames(), connection_node_mat(), copy_bone_transform(), createTransArmatureVerts(), createTransCurveVerts(), createTransEdge(), createTransGPencil_curves(), createTransLatticeVerts(), createTransMBallVerts(), createTransSculpt(), deformMatrices(), deformMatricesEM(), ED_transform_calc_gizmo_stats(), EEVEE_lookdev_cache_init(), ElementResize(), end_node_frames(), execute_posetree(), gizmo_axis_draw(), gizmo_mesh_extrude_refresh(), gizmo_mesh_spin_redo_setup(), invert_m3(), invert_m3_ex(), invert_m3_m3_safe_ortho(), MaskHandleToTransData(), MaskPointToTransData(), mat3_align_axis_to_v3(), mat3_from_axis_conversion(), mat3_to_quat_is_ok(), matrix_invert_safe_internal(), Matrix_rotate(), Matrix_to_euler(), mul_m3_m3_post(), mul_m3_m3_pre(), mul_m3_m3m4(), mul_m3_m4m3(), mul_m4_m3m4(), mul_m4_m4m3(), mul_v3m3_dq(), SB_estimate_transform(), set_prop_dist(), SIM_mass_spring_add_constraint_ndof1(), SIM_mass_spring_add_constraint_ndof2(), SIM_mass_spring_force_drag(), SIM_mass_spring_force_reference_frame(), SIM_mass_spring_force_spring_bending_hair(), SIM_mass_spring_set_rest_transform(), slide_point_customdata(), spring_hairbend_estimate_dfdv(), spring_hairbend_estimate_dfdx(), transform_convert_mesh_crazyspace_transdata_set(), transform_orientation_matrix_get(), transform_orientations_current_set(), vcloud_estimate_transform_v3(), VertsToTransData(), view3d_interactive_add_calc_plane(), view3d_interactive_add_modal(), and world_to_root_m3().

copy_m3_m3d()

void copy_m3_m3d	(	float	m1[3][3],
		const double	m2[3][3]
	)

Definition at line 206 of file math_matrix.c.

References float().

Referenced by BKE_tracking_homography_between_two_quads(), and track_plane_from_existing_motion().

copy_m3_m4()

void copy_m3_m4	(	float	m1[3][3],
		const float	m2[4][4]
	)

Definition at line 105 of file math_matrix.c.

Referenced by add_pose_transdata(), apply_targetless_ik(), applyarmature_set_edit_position(), armature_bone_primitive_add_exec(), armature_calc_roll_exec(), armature_click_extrude_exec(), armature_finalize_restpose(), armature_transform_recurse(), armature_vert_task_with_dvert(), BKE_armature_transform(), BKE_bone_parent_transform_calc_from_matrices(), BKE_mesh_transform(), BKE_pchan_bbone_handles_compute(), BKE_scene_cursor_from_mat4(), BMD_mesh_intersection(), BMO_slot_mat3_get(), camera_frame_fit_data_init(), contarget_get_mesh_mat(), convert_tree(), createObjectSpace(), createTransArmatureVerts(), createTransCurveVerts(), createTransEdge(), createTransEditVerts(), createTransGPencil_curves(), createTransGPencil_strokes(), createTransLatticeVerts(), createTransMBallVerts(), createTransMeshSkin(), createTransSculpt(), createTransTexspace(), createViewSpace(), deformStroke(), deformVerts_do(), do_version_bone_roll_256(), ED_armature_ebone_from_mat4(), ED_armature_edit_transform(), ed_editnurb_spin(), ED_gpencil_join_objects_exec(), ED_object_new_primitive_matrix(), ED_transform_calc_gizmo_stats(), ED_transform_calc_orientation_from_type_ex(), ED_view3d_from_m4(), ED_view3d_minmax_verts(), edbm_extrude_repeat_exec(), EDBM_unified_findnearest_from_raycast(), EEVEE_lookdev_cache_init(), execute_posetree(), face_dupli(), flyApply(), getTransformOrientation_ex(), gimbal_axis(), gizmo_axis_draw(), gizmo_mesh_extrude_draw_prepare(), gizmo_mesh_spin_init_draw_prepare(), gizmo_mesh_spin_init_refresh(), GPU_matrix_normal_get(), hair_create_input_mesh(), idp_poject_surface_normal(), init_curve_deform(), init_TransDataContainers(), initFlyInfo(), interp_m4_m4m4(), is_uniform_scaled_m4(), locktrack_evaluate(), mat4_normalized_to_compatible_eulO(), mat4_normalized_to_eul(), mat4_normalized_to_eulO(), mat4_normalized_to_quat(), mat4_to_compatible_eulO(), mat4_to_dquat(), mat4_to_eul(), mat4_to_eulO(), mat4_to_loc_quat(), mat4_to_loc_rot_size(), mat4_to_quat(), Matrix_to_euler(), meshdeformModifier_do(), modifyMesh(), move3d_get_translate(), mul_v3m3_dq(), nurb_bezt_direction_worldspace_get(), nurb_bpoint_direction_worldspace_get(), object_hook_recenter_exec(), object_origin_clear_exec(), object_origin_set_exec(), object_transform_axis_target_modal(), ObjectToTransData(), OVERLAY_gpencil_cache_init(), paintface_minmax(), pchan_deform_accumulate(), pivotcon_evaluate(), proj_paint_state_viewport_init(), pseudoinverse_m3_m3(), RotationBetween(), SCULPT_cursor_geometry_info_update(), sculpt_gesture_context_init_common(), sculpt_update_cache_invariants(), similar_edge_select_exec(), similar_face_select_exec(), snap_curs_to_sel_ex(), snap_sel_to_grid_exec(), snap_selected_to_location(), solve_parenting(), vfont_to_curve(), viewops_data_create(), visualkey_get_values(), voxel_size_edit_invoke(), vwpaint_update_cache_invariants(), walkApply(), WIDGETGROUP_gizmo_draw_prepare(), WIDGETGROUP_xform_cage_draw_prepare(), WIDGETGROUP_xform_cage_refresh(), WIDGETGROUP_xform_shear_draw_prepare(), and WIDGETGROUP_xform_shear_refresh().

copy_m4_m2()

void copy_m4_m2	(	float	m1[4][4],
		const float	m2[2][2]
	)

Definition at line 160 of file math_matrix.c.

copy_m4_m3()

void copy_m4_m3	(	float	m1[4][4],
		const float	m2[3][3]
	)

Definition at line 120 of file math_matrix.c.

Referenced by apply_objects_internal(), applyarmature_set_edit_position(), axis_angle_to_mat4(), axis_angle_to_mat4_single(), BCMatrix::BCMatrix(), BKE_armature_where_is_bone(), BKE_bone_offset_matrix_get(), BKE_bone_parent_transform_calc_from_matrices(), BKE_object_to_mat4(), BKE_pchan_to_mat4(), BKE_scene_cursor_to_mat4(), BMO_slot_mat_set(), camera_frame_fit_data_init(), blender::io::alembic::copy_m44_axis_swap(), cursor_plane_draw(), ED_armature_ebone_to_mat4(), ED_armature_join_objects_exec(), ED_object_new_primitive_matrix(), ED_transform_calc_gizmo_stats(), ED_view3d_win_to_3d_on_plane_with_fallback(), eulO_to_mat4(), gizmo_axis_draw(), gizmo_mesh_placement_modal_from_setup(), idp_poject_surface_normal(), interp_m4_m4m4(), loc_eul_size_to_mat4(), loc_eulO_size_to_mat4(), loc_quat_size_to_mat4(), loc_rot_size_to_mat4(), make_bbone_spline_matrix(), mesh_calc_eigen_matrix(), modifyMesh(), ob_parvert3(), object_apply_rotation(), pseudoinverse_m3_m3(), splineik_evaluate_bone(), where_is_ik_bone(), WIDGETGROUP_tool_generic_refresh(), and WIDGETGROUP_xform_cage_refresh().

copy_m4_m4()

void copy_m4_m4	(	float	m1[4][4],
		const float	m2[4][4]
	)

Definition at line 95 of file math_matrix.c.

Referenced by actcon_get_tarmat(), AnimationImporter::add_bone_animation_sampled(), TransformWriter::add_joint_transform(), add_weighted_dq_dq(), annotation_paint_initstroke(), annotation_session_initdata(), AnimationImporter::apply_matrix_curves(), arrayModifier_doArray(), bake(), base_callback(), bc_add_global_transform(), bc_bone_matrix_local_get(), bc_create_restpose_mat(), BKE_bone_parent_transform_calc_from_matrices(), BKE_camera_multiview_window_matrix(), BKE_constraint_custom_object_space_get(), BKE_constraint_target_matrix_get(), BKE_constraints_clear_evalob(), BKE_constraints_make_evalob(), BKE_constraints_solve(), BKE_gpencil_instance_modifier_instance_tfm(), BKE_gpencil_layer_transform_matrix_get(), BKE_gpencil_update_layer_transforms(), BKE_lattice_deform_data_create(), BKE_lattice_resize(), BKE_mesh_remap_find_best_match_from_mesh(), BKE_object_eval_parent(), BKE_object_eval_proxy_copy(), BKE_object_get_parent_matrix(), BKE_object_make_proxy(), BKE_object_matrix_local_get(), BKE_object_sync_to_original(), BKE_object_tfm_backup(), BKE_object_tfm_restore(), BKE_pchan_bbone_spline_params_get(), BKE_pose_copy_pchan_result(), BKE_pose_eval_bone(), BKE_pose_where_is(), BKE_scene_base_iter_next(), BKE_tracking_camera_get_reconstructed_interpolate(), BKE_tracking_get_projection_matrix(), BLI_uvproject_camera_info(), BMO_slot_mat4_get(), BMO_slot_mat_set(), box_clip_bounds_m4(), brush_add(), bundle_midpoint(), AnimationImporter::calc_joint_parent_mat_rest(), camera_model_matrix(), camera_stereo3d_model_matrix(), camera_view3d_reconstruction(), camerasolver_evaluate(), childof_evaluate(), clampto_evaluate(), cloth_brush_apply_brush_foces(), constraint_target_to_mat4(), contarget_get_lattice_mat(), contarget_get_mesh_mat(), convert_pose(), convert_tree(), copy_bone_transform(), blender::io::alembic::create_transform_matrix(), createTransSculpt(), cursor_plane_draw(), damptrack_do_transform(), deformStroke(), deformVerts_do(), displaceModifier_do(), dist_squared_to_projected_aabb_precalc(), draw_axes(), draw_bone_degrees_of_freedom(), draw_bone_update_disp_matrix_custom(), draw_bone_update_disp_matrix_default(), draw_view_matrix_state_update(), drawDial3d(), drawPropCircle(), drawSnapping(), drw_call_matrix_init(), DRW_debug_m4_as_bbox(), DRW_debug_modelmat(), DRW_debug_sphere(), DRW_hair_duplimat_get(), DRW_view_persmat_get(), DRW_view_update(), DRW_view_viewmat_get(), DRW_view_winmat_get(), dvar_eval_locDiff(), dvar_eval_transChan(), dynamicPaint_brushMeshCalculateVelocity(), dynamicPaint_brushObjectCalculateVelocity(), dynamicPaint_generateBakeData(), dyntopo_detail_size_edit_invoke(), ED_gizmotypes_snap_3d_draw_util(), ED_gpencil_project_point_to_plane(), ED_gpencil_project_stroke_to_plane(), ED_gpencil_reset_layers_parent(), ED_mesh_deform_bind_callback(), ED_object_data_xform_container_item_ensure(), ED_object_xform_skip_child_container_item_ensure(), ED_view3d_camera_to_view_selected(), ED_view3d_cameracontrol_update(), ED_view3d_draw_offscreen_imbuf(), ED_view3d_draw_offscreen_imbuf_simple(), ED_view3d_mats_rv3d_backup(), ED_view3d_mats_rv3d_restore(), ED_view3d_update_viewmat(), eevee_draw_scene(), eevee_lightprobes_culling_test(), EEVEE_motion_blur_cache_populate(), EEVEE_motion_blur_hair_cache_populate(), EEVEE_motion_blur_swap_data(), EEVEE_render_draw(), AnimationImporter::evaluate_transform_at_frame(), execute_posetree(), followpath_evaluate(), followpath_get_tarmat(), followtrack_evaluate_using_2d_position(), followtrack_evaluate_using_3d_position_camera(), followtrack_evaluate_using_3d_position_object(), SkinInfo::get_joint_inv_bind_matrix(), TransformReader::get_node_mat(), gizmo_arrow_matrix_basis_get(), gizmo_cage2d_exit(), gizmo_cage2d_invoke(), gizmo_cage2d_modal(), gizmo_cage3d_exit(), gizmo_cage3d_invoke(), gizmo_cage3d_modal(), gizmo_move_matrix_basis_get(), GPENCIL_draw_object(), gpencil_light_pool_populate(), gpencil_paint_initstroke(), gpencil_vertexpaint_brush_apply_to_layers(), gpencil_weightpaint_brush_apply_to_layers(), GPU_matrix_model_view_get(), GPU_matrix_projection_get(), GPU_matrix_projection_set(), GPU_matrix_push(), GPU_matrix_push_projection(), GPU_matrix_set(), hit_depth_create(), i_multmatrix(), ignore_parent_tx(), init_context(), init_meta(), init_TransDataContainers(), invert_m4(), invert_m4_m4_safe(), invert_m4_m4_safe_ortho(), kinematic_get_tarmat(), lineart_create_render_buffer(), lineart_main_get_view_vector(), SkinInfo::link_armature(), make_dmats(), make_duplis_font(), make_duplis_particle_system(), make_object_duplilist_real(), mat4_to_dquat(), matrix_from_obj_pchan(), matrix_invert_safe_internal(), Matrix_resize_4x4(), mesh_render_data_create(), minmax_evaluate(), modifyMesh(), mul_m3_m3m4(), mul_m3_m4m3(), mul_m4_m3m4(), mul_m4_m4_post(), mul_m4_m4_pre(), mul_m4_m4m3(), ob_parbone(), ob_parcurve(), object_apply_location(), object_warp_verts_exec(), objectsolver_evaluate(), ObjectToTransData(), OVERLAY_gpencil_cache_init(), OVERLAY_image_empty_cache_populate(), OVERLAY_light_cache_populate(), OVERLAY_lightprobe_cache_populate(), pack_data_in_mat4(), pack_fl_in_mat4(), paint_cursor_drawing_setup_cursor_space(), pose_channel_flush_to_orig_if_needed(), proj_paint_state_viewport_init(), projmat_from_subregion(), raycast_obj_fn(), RE_GetCameraWindow(), RE_GetCameraWindowWithOverscan(), RE_SetCamera(), AnimationImporter::read_node_transform(), reconstruct_retrieve_libmv_tracks(), remap_hair_emitter(), rotlike_evaluate(), SCULPT_brush_test_init(), SCULPT_cloth_plane_falloff_preview_draw(), SCULPT_do_multiplane_scrape_brush(), SCULPT_filter_cache_init(), sculpt_gesture_update_effected_nodes_by_clip_planes(), select_cache_init(), BCMatrix::set_transform(), setTransformViewMatrices(), shrinkwrap_evaluate(), shrinkwrap_get_tarmat(), single_axis_convert(), SkinInfo::SkinInfo(), snap_obj_fn(), spin_exec(), svd_m4(), target_callback(), transform_snap_context_project_view3d_mixed_impl(), AnimationImporter::translate_animation_OLD(), translike_evaluate(), uv_from_view_exec(), uv_map_rotation_matrix_ex(), uvprojectModifier_do(), v3d_object_dimension_buts(), visualkey_get_values(), volume_grid_cache_get(), what_does_obaction(), where_is_ik_bone(), WIDGETGROUP_armature_spline_refresh(), WIDGETGROUP_empty_image_refresh(), WIDGETGROUP_light_area_refresh(), WIDGETGROUP_node_corner_pin_draw_prepare(), WIDGETGROUP_xform_cage_refresh(), wireframe_hair_cache_populate(), WM_gizmo_calc_matrix_final_params(), WM_xr_session_state_viewer_pose_matrix_info_get(), and workbench_antialiasing_engine_init().

copy_m4_m4_db()

void copy_m4_m4_db	(	double	m1[4][4],
		const double	m2[4][4]
	)

Definition at line 100 of file math_matrix.c.

Referenced by lineart_main_load_geometries().

copy_m4d_m4()

void copy_m4d_m4	(	double	m1[4][4],
		const float	m2[4][4]
	)

Definition at line 183 of file math_matrix.c.

Referenced by lineart_geometry_object_load(), and projmat_dimensions_db().

determinant_m2()

float determinant_m2	(	float	a,
		float	b,
		float	c,
		float	d
	)

Definition at line 2053 of file math_matrix.c.

References Freestyle::a, and Freestyle::c.

Referenced by determinant_m3(), matrix_determinant_internal(), and matrix_invert_safe_internal().

determinant_m3()

float determinant_m3	(	float	a1,
		float	a2,
		float	a3,
		float	b1,
		float	b2,
		float	b3,
		float	c1,
		float	c2,
		float	c3
	)

Definition at line 2059 of file math_matrix.c.

References determinant_m2().

Referenced by adjoint_m4_m4(), determinant_m4(), isect_plane_plane_plane_v3(), locktrack_evaluate(), and matrix_determinant_internal().

determinant_m3_array()

float determinant_m3_array

(

const float

m[3][3]

)

Definition at line 1102 of file math_matrix.c.

Referenced by interp_m3_m3m3(), invert_m3_m3(), invert_m3_m3_ex(), mat3_to_volume_scale(), matrix_invert_safe_internal(), TEST(), vcloud_estimate_transform_v3(), volume_tetrahedron_signed_v3(), and volume_tetrahedron_v3().

determinant_m4()

float determinant_m4

(

const float

m[4][4]

)

Definition at line 2070 of file math_matrix.c.

References determinant_m3().

Referenced by mat4_to_dquat(), matrix_determinant_internal(), and matrix_invert_safe_internal().

determinant_m4_mat3_array()

float determinant_m4_mat3_array

(

const float

m[4][4]

)

Definition at line 1109 of file math_matrix.c.

Referenced by mat4_to_volume_scale().

equals_m3m3()

bool equals_m3m3	(	const float	mat1[3][3],
		const float	mat2[3][3]
	)

Definition at line 2606 of file math_matrix.c.

References equals_v3v3().

Referenced by EEVEE_lookdev_cache_init(), gizmo_mesh_spin_init_draw_prepare(), WIDGETGROUP_gizmo_draw_prepare(), WIDGETGROUP_xform_cage_draw_prepare(), and WIDGETGROUP_xform_shear_draw_prepare().

equals_m4m4()

bool equals_m4m4	(	const float	mat1[4][4],
		const float	mat2[4][4]
	)

Definition at line 2612 of file math_matrix.c.

References equals_v4v4().

Referenced by BKE_gpencil_prepare_eval_data(), BKE_gpencil_update_layer_transforms(), cursor_plane_draw(), dynamicPaint_surfaceHasMoved(), ED_gpencil_reset_layers_parent(), EEVEE_motion_blur_cache_populate(), eevee_volume_object_grids_init(), object_apply_mat4_with_protect(), and workbench_antialiasing_engine_init().

has_zero_axis_m4()

bool has_zero_axis_m4

(

const float

matrix[4][4]

)

Definition at line 3240 of file math_matrix.c.

References len_squared_v3().

Referenced by init_meta().

interp_m3_m3m3()

void interp_m3_m3m3	(	float	R[3][3],
		const float	A[3][3],
		const float	B[3][3],
		const float	t
	)

A polar-decomposition-based interpolation between matrix A and matrix B.

Note

This code is about five times slower as the 'naive' interpolation done by blend_m3_m3m3 (it typically remains below 2 usec on an average i74700, while blend_m3_m3m3 remains below 0.4 usec). However, it gives expected results even with non-uniformly scaled matrices, see T46418 for an example.

Based on "Matrix Animation and Polar Decomposition", by Ken Shoemake & Tom Duff

Parameters

R	Resulting interpolated matrix.
A	Input matrix which is totally effective with t = 0.0.
B	Input matrix which is totally effective with t = 1.0.
t	Interpolation factor.

Definition at line 2508 of file math_matrix.c.

References A, B, determinant_m3_array(), interp_qt_qtqt(), interp_v3_v3v3(), mat3_polar_decompose(), mat3_to_quat(), mul_m3_fl(), mul_m3_m3m3(), P(), quat_to_mat3(), R, and t.

Referenced by interp_m4_m4m4(), Matrix_lerp(), and TEST().

interp_m4_m4m4()

void interp_m4_m4m4	(	float	R[4][4],
		const float	A[4][4],
		const float	B[4][4],
		const float	t
	)

Complete transform matrix interpolation, based on polar-decomposition-based interpolation from interp_m3_m3m3.

Parameters

R	Resulting interpolated matrix.
A	Input matrix which is totally effective with t = 0.0.
B	Input matrix which is totally effective with t = 1.0.
t	Interpolation factor.

Definition at line 2562 of file math_matrix.c.

References A, B, Freestyle::B3(), copy_m3_m4(), copy_m4_m3(), copy_v3_v3(), interp_m3_m3m3(), interp_v3_v3v3(), R, and t.

Referenced by BKE_constraints_solve(), blender::io::alembic::blend_matrices(), constraint_target_to_mat4(), blender::float4x4::interpolate(), Matrix_lerp(), and TEST().

invert_m3()

bool invert_m3

(

float

R[3][3]

)

Definition at line 1152 of file math_matrix.c.

References copy_m3_m3(), and invert_m3_m3().

Referenced by armature_calc_roll_exec(), armature_transform_recurse(), BLI_newton3d_solve(), bm_vert_pair_to_matrix(), BMD_mesh_intersection(), createTransCurveVerts(), createTransSculpt(), ED_object_new_primitive_matrix(), ED_transform_calc_gizmo_stats(), edbm_extrude_repeat_exec(), EDBM_unified_findnearest_from_raycast(), gizmo_axis_draw(), GPU_matrix_normal_get(), GPU_matrix_normal_inverse_get(), move3d_get_translate(), multires_disp_run_cb(), multiresModifier_prepare_join(), sculpt_update_object(), sequencer_image_crop_transform_do_thread(), set_axis(), setup_vertex_point(), sh_node_vector_rotate_euler(), and transform_convert_mesh_islands_calc().

invert_m3_ex()

bool invert_m3_ex	(	float	m[3][3],
		const float	epsilon
	)

Definition at line 1116 of file math_matrix.c.

References copy_m3_m3(), blender::robust_pred::epsilon, and invert_m3_m3_ex().

invert_m3_m3()

bool invert_m3_m3	(	float	R[3][3],
		const float	A[3][3]
	)

Definition at line 1161 of file math_matrix.c.

References Freestyle::a, adjoint_m3_m3(), determinant_m3_array(), and LIKELY.

Referenced by add_pose_transdata(), apply_objects_internal(), apply_targetless_ik(), applyAlign(), applyObjectConstraintSize(), applyShear(), armature_bone_primitive_add_exec(), armature_click_extrude_exec(), armature_finalize_restpose(), BKE_mask_point_parent_matrix_get(), BKE_mesh_remap_calc_polys_from_mesh(), calc_bbox(), calc_deltas(), colormanage_load_config(), contarget_get_mesh_mat(), convert_tree(), createTransArmatureVerts(), ed_editnurb_spin(), ED_object_new_primitive_matrix(), ElementMirror(), evaluate_higher_grid_positions_with_details_callback(), execute_posetree(), flush_pixel(), getTransformOrientation_ex(), gizmo_mesh_spin_redo_setup(), imapaint_tri_weights(), init_TransDataContainers(), invert_m3(), invert_m3_m3_safe_ortho(), locktrack_evaluate(), MaskPointToTransData(), mat3_to_quat_is_ok(), mat3_vec_to_roll(), object_grid_element_to_tangent_displacement(), object_hook_recenter_exec(), object_origin_set_exec(), object_transform_axis_target_modal(), pseudoinverse_m3_m3(), RE_bake_normal_world_to_tangent(), similar_edge_select_exec(), snap_sel_to_grid_exec(), snap_selected_to_location(), transform_convert_mesh_crazyspace_transdata_set(), transform_data_ext_rotate(), tri_to_quat_ex(), vcloud_estimate_transform_v3(), and viewrotate_apply().

invert_m3_m3_ex()

bool invert_m3_m3_ex	(	float	m1[3][3],
		const float	m2[3][3],
		const float	epsilon
	)

Definition at line 1125 of file math_matrix.c.

References Freestyle::a, adjoint_m3_m3(), BLI_assert, determinant_m3_array(), blender::robust_pred::epsilon, fabsf, and LIKELY.

Referenced by invert_m3_ex().

invert_m3_m3_safe_ortho()

void invert_m3_m3_safe_ortho	(	float	Ainv[3][3],
		const float	A[3][3]
	)

Definition at line 3298 of file math_matrix.c.

References A, copy_m3_m3(), invert_m3_m3(), orthogonalize_m3_zero_axes(), unit_m3(), and UNLIKELY.

Referenced by ED_gpencil_join_objects_exec(), ObjectToTransData(), and transform_orientations_current_set().

invert_m4()

bool invert_m4

(

float

R[4][4]

)

Definition at line 1187 of file math_matrix.c.

References copy_m4_m4(), and invert_m4_m4().

Referenced by AnimationImporter::add_bone_animation_sampled(), AnimationImporter::apply_matrix_curves(), applyarmature_process_selected_recursive(), bc_bone_matrix_local_get(), BKE_bone_parent_transform_invert(), BKE_camera_multiview_view_matrix(), BKE_object_matrix_local_get(), BKE_texture_mapping_init(), BKE_tracking_stabilize_frame(), BLI_uvproject_camera_info(), bundle_midpoint(), camera_frame_fit_data_init(), DRW_hair_duplimat_get(), ebone_spline_preview(), ED_object_data_xform_container_update_all(), ED_object_xform_skip_child_container_update_all(), EEVEE_lightprobes_cube_data_from_object(), EEVEE_shadows_cube_setup(), ArmatureImporter::get_joint_bind_mat(), BCMatrix::get_matrix(), gizmo_window_project_3d(), gpencil_depth_plane(), gpencil_light_pool_populate(), gpencil_object_cache_add(), GPU_matrix_bind(), make_duplis_particle_system(), object_solver_inverted_matrix(), pose_mirror_info_init(), SCULPT_do_multiplane_scrape_brush(), set_axis(), set_plane_exec(), shrinkwrap_get_tarmat(), AnimationImporter::translate_animation_OLD(), warpModifier_do(), and wireframe_hair_cache_populate().

invert_m4_m4()

bool invert_m4_m4	(	float	R[4][4],
		const float	A[4][4]
	)

Definition at line 1278 of file math_matrix.c.

References EIG_invert_m4_m4(), inverse(), and invert_m4_m4_fallback().

Referenced by action_flip_pchan(), AnimationImporter::add_bone_animation_sampled(), add_hook_object(), BCMatrix::add_inverted_transform(), TransformWriter::add_joint_transform(), add_primitive_cube_gizmo_exec(), BCMatrix::add_transform(), add_vertex_exec(), annotation_session_initdata(), AnimationImporter::apply_matrix_curves(), BCMatrix::apply_transform(), applyarmature_fix_boneparents(), applyarmature_process_selected_recursive(), armature_bone_primitive_add_exec(), armature_calc_roll_exec(), armature_deform_coords_impl(), armature_fill_bones_exec(), armature_finalize_restpose(), armature_transform_recurse(), armdef_accumulate_bone(), arrayModifier_doArray(), bake(), base_callback(), bc_bone_matrix_local_get(), bc_rotate_from_reference_quat(), BKE_armature_mat_pose_to_delta(), BKE_armature_mat_world_to_pose(), BKE_constraint_mat_convertspace(), BKE_constraints_clear_evalob(), BKE_gpencil_instance_modifier_instance_tfm(), BKE_gpencil_layer_addnew(), BKE_gpencil_stroke_from_view_space(), BKE_lattice_deform_data_create(), BKE_mesh_mirror_apply_mirror_on_axis_for_modifier(), BKE_object_apply_mat4_ex(), BKE_object_eval_proxy_copy(), BKE_object_modifier_gpencil_hook_reset(), BKE_object_modifier_hook_reset(), BKE_pchan_bbone_segments_cache_compute(), BKE_pchan_bbone_spline_compute(), BKE_pchan_bbone_spline_params_get(), BKE_pose_bone_done(), BKE_pose_eval_init(), BKE_pose_where_is(), BKE_tracking_get_projection_matrix(), BLI_space_transform_from_matrices(), BLI_space_transform_global_from_matrices(), blo_do_versions_290(), BM_mesh_calc_uvs_circle(), BM_mesh_calc_uvs_cone(), BMBVH_EdgeVisible(), BMD_mesh_intersection(), bmo_transform_exec(), brush_add(), brush_edit_apply(), brush_puff(), calc_brush_local_mat(), calc_local_clipping(), camera_view3d_reconstruction(), childof_evaluate(), clip_draw_main(), clipMirrorModifier(), cloth_brush_solve_collision(), cloth_to_object(), convert_pose(), convert_tree(), blender::io::alembic::create_transform_matrix(), createTransGPencil_strokes(), createTransParticleVerts(), cuboid_do(), curve_draw_event_add(), curve_draw_exec(), deflect_emitter_iter(), deformStroke(), deformVerts_do(), do_clay_strips_brush(), do_clay_thumb_brush(), do_clay_thumb_brush_task_cb_ex(), draw_view_matrix_state_update(), drawPropCircle(), drawVertSlide(), drw_call_matrix_init(), DRW_debug_m4_as_bbox(), DRW_view_update(), ED_armature_join_objects_exec(), ED_armature_origin_set(), ED_clip_point_stable_pos(), ED_gpencil_project_stroke_to_plane(), ED_gpencil_project_stroke_to_view(), ED_gpencil_reset_layers_parent(), ED_gpencil_stroke_reproject(), ED_object_data_xform_container_update_all(), ED_object_parent_set(), ED_object_xform_skip_child_container_item_ensure(), ED_object_xform_skip_child_container_update_all(), ED_transform_calc_gizmo_stats(), ED_view3d_camera_lock_sync(), ED_view3d_cameracontrol_update(), ED_view3d_clipping_calc(), ED_view3d_draw_offscreen_imbuf_simple(), ED_view3d_update_viewmat(), edbm_dupli_extrude_cursor_invoke(), edbm_extrude_edge_exclude_mirror(), edbm_polybuild_delete_at_cursor_invoke(), edbm_polybuild_face_at_cursor_invoke(), edbm_polybuild_split_at_cursor_invoke(), edbm_polybuild_transform_at_cursor_invoke(), EEVEE_lightprobes_grid_data_from_object(), EEVEE_lightprobes_planar_data_from_object(), EEVEE_render_view_sync(), eevee_volume_object_grids_init(), execute_posetree(), explodeMesh(), flushTransParticles(), followtrack_evaluate_using_3d_position_object(), followtrack_project_to_depth_object_if_needed(), foreach_mouse_hit_key_iter(), generate_vert_coordinates(), get_quick_mesh(), gizmo_cage2d_modal(), gizmo_move_modal(), gizmo_window_project_2d(), gizmo_window_project_3d(), gpencil_apply_parent(), gpencil_apply_parent_point(), gpencil_brush_grab_apply_cached(), gpencil_paint_initstroke(), gpencil_primitive_set_initdata(), GPENCIL_render_init(), gpencil_sculpt_brush_init(), GPU_matrix_unproject_precalc(), ignore_parent_tx(), init_curve_deform(), init_meta(), Freestyle::BlenderFileLoader::insertShapeNode(), invert_m4(), invert_m4_m4_safe(), invert_m4_m4_safe_ortho(), blender::float4x4::inverted(), knife_recalc_projmat(), lineart_geometry_object_load(), lineart_main_get_view_vector(), lineart_main_load_geometries(), SkinInfo::link_armature(), make_child_duplis_faces_from_editmesh(), make_child_duplis_faces_from_mesh(), make_child_duplis_verts_from_editmesh(), make_child_duplis_verts_from_mesh(), make_dmats(), make_duplis_particle_system(), mat4_to_dquat(), merge_target(), mesh_bisect_exec(), meshdeformModifier_do(), minmax_evaluate(), MOD_get_texture_coords(), MOD_lineart_gpencil_generate(), modifyMesh(), normalEditModifier_do_directional(), object_apply_mat4_with_protect(), object_join_exec(), object_origin_set_exec(), object_warp_transverts(), objectsolver_evaluate(), obmat_to_viewmat(), particle_system_minmax(), particle_system_update(), PE_mirror_particle(), pointdensity_cache_psys(), blender::io::gpencil::GpencilIO::prepare_camera_params(), proj_paint_state_viewport_init(), psys_apply_hair_lattice(), raycastEditMesh(), raycastMesh(), RE_bake_normal_world_to_object(), RE_bake_pixels_populate_from_objects(), reconstruct_retrieve_libmv_tracks(), remap_hair_emitter(), BCQuat::rotate_to(), save_hair(), SCULPT_clip(), SCULPT_cursor_geometry_info_update(), SCULPT_do_multiplane_scrape_brush(), SCULPT_do_paint_brush(), SCULPT_do_pose_brush(), SCULPT_filter_cache_init(), sculpt_init_mirror_clipping(), SCULPT_multiplane_scrape_preview_draw(), SCULPT_raycast_init(), sculpt_transform_matrices_init(), sculpt_update_brush_delta(), sculpt_update_cache_invariants(), set_axis(), similar_face_select_exec(), similar_vert_select_exec(), snap_mesh_edge_verts_mixed(), snap_mesh_polygon(), snap_sel_to_grid_exec(), snap_selected_to_location(), snap_to_pipe_profile(), snapCamera(), snapEditMesh(), snapMesh(), softbody_to_object(), sort_bmelem_flag(), sphere_do(), spin_exec(), stabilization_data_to_mat4(), surfacedeformBind(), surfacedeformModifier_do(), AnimationImporter::translate_animation_OLD(), update_mirror_object(), updateDuplicateActionConstraintSettings(), updateDuplicateLocRotConstraintSettings(), uv_map_transform_center(), uvprojectModifier_do(), v3d_editvertex_buts(), vertex_parent_set_exec(), vfont_to_curve(), view3d_viewmatrix_set(), volume_grid_cache_get(), voxel_size_edit_invoke(), vwpaint_update_cache_invariants(), warpModifier_do(), waveModifier_do(), workbench_render_matrices_init(), and workbench_shadow_update().

invert_m4_m4_fallback()

bool invert_m4_m4_fallback	(	float	inverse[4][4],
		const float	mat[4][4]
	)

Computes the inverse of mat and puts it in inverse. Uses Gaussian Elimination with partial (maximal column) pivoting.

Returns

true on success (i.e. can always find a pivot) and false on failure. Mark Segal - 1992.

Note

this has worse performance than EIG_invert_m4_m4 (Eigen), but e.g. for non-invertible scale matrices, finding a partial solution can be useful to have a valid local transform center, see T57767.

Definition at line 1206 of file math_matrix.c.

References BLI_assert, double(), EIG_invert_m4_m4(), fabsf, float(), inverse(), max, SWAP, and UNLIKELY.

Referenced by init_TransDataContainers(), and invert_m4_m4().

invert_m4_m4_safe()

void invert_m4_m4_safe	(	float	Ainv[4][4],
		const float	A[4][4]
	)

Definition at line 3246 of file math_matrix.c.

References A, copy_m4_m4(), invert_m4_m4(), and unit_m4().

Referenced by BKE_constraint_mat_convertspace(), BKE_object_eval_transform_final(), and gpencil_snap_to_grid().

invert_m4_m4_safe_ortho()

void invert_m4_m4_safe_ortho	(	float	Ainv[4][4],
		const float	A[4][4]
	)

A safe version of invert that uses valid axes, calculating the zero'd axis based on the non-zero ones.

This works well for transformation matrices, when a single axis is zerod.

Definition at line 3287 of file math_matrix.c.

References A, copy_m4_m4(), invert_m4_m4(), orthogonalize_m4_zero_axes(), unit_m4(), and UNLIKELY.

Referenced by ED_armature_join_objects_exec(), ED_curve_join_objects_exec(), ED_gpencil_join_objects_exec(), ED_mesh_join_objects_exec(), knife_recalc_projmat(), and knifetool_init().

is_negative_m3()

bool is_negative_m3

(

const float

mat[3][3]

)

Definition at line 2583 of file math_matrix.c.

References cross_v3_v3v3(), and dot_v3v3().

Referenced by axis_dominant_v3_to_m3(), axis_dominant_v3_to_m3_negate(), calc_initial_placement_point_from_view(), mat3_to_rot_size(), mat4_to_loc_quat(), mat4_to_rot(), and Matrix_is_negative_get().

is_negative_m4()

bool is_negative_m4

(

const float

mat[4][4]

)

Definition at line 2590 of file math_matrix.c.

References cross_v3_v3v3(), and dot_v3v3().

Referenced by bake(), BKE_object_eval_transform_final(), BMD_mesh_bm_create(), calc_local_clipping(), DRW_view_update(), DRW_view_update_sub(), ED_object_sculptmode_enter_ex(), ED_view3d_clipping_calc(), gizmo_placement_prop_matrix_set(), Matrix_is_negative_get(), object_where_is_calc_ex(), transform_evaluate(), and unwrap_exec().

is_orthogonal_m3()

bool is_orthogonal_m3

(

const float

mat[3][3]

)

Definition at line 1786 of file math_matrix.c.

References dot_v3v3(), and fabsf.

Referenced by is_orthonormal_m3(), and Matrix_is_orthogonal_axis_vectors_get().

is_orthogonal_m4()

bool is_orthogonal_m4

(

const float

mat[4][4]

)

Definition at line 1801 of file math_matrix.c.

References dot_v4v4(), and fabsf.

Referenced by is_orthonormal_m4(), and Matrix_is_orthogonal_axis_vectors_get().

is_orthonormal_m3()

bool is_orthonormal_m3

(

const float

mat[3][3]

)

Definition at line 1816 of file math_matrix.c.

References dot_v3v3(), fabsf, and is_orthogonal_m3().

Referenced by mat4_to_dquat(), and Matrix_is_orthogonal_get().

is_orthonormal_m4()

bool is_orthonormal_m4

(

const float

mat[4][4]

)

Definition at line 1833 of file math_matrix.c.

References dot_v4v4(), fabsf, and is_orthogonal_m4().

Referenced by Matrix_is_orthogonal_get().

is_uniform_scaled_m3()

bool is_uniform_scaled_m3

(

const float

mat[3][3]

)

Definition at line 1850 of file math_matrix.c.

References eps, fabsf, len_squared_v3(), t, and transpose_m3_m3().

Referenced by is_uniform_scaled_m4(), and multires_apply_smat().

is_uniform_scaled_m4()

bool is_uniform_scaled_m4

(

const float

m[4][4]

)

Definition at line 1874 of file math_matrix.c.

References copy_m3_m4(), is_uniform_scaled_m3(), and t.

is_zero_m3()

bool is_zero_m3

(

const float

mat[3][3]

)

Definition at line 2597 of file math_matrix.c.

References is_zero_v3().

is_zero_m4()

bool is_zero_m4

(

const float

mat[4][4]

)

Definition at line 2601 of file math_matrix.c.

References is_zero_v4().

Referenced by bmo_transform_exec(), EEVEE_motion_blur_cache_populate(), EEVEE_motion_blur_hair_cache_populate(), and SCULPT_do_paint_brush().

loc_axisangle_size_to_mat4()

void loc_axisangle_size_to_mat4	(	float	R[4][4],
		const float	loc[3],
		const float	axis[4],
		const float	angle,
		const float	size[3]
	)

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]
	)

Make a 4x4 matrix out of 3 transform components. Matrices are made in the order: scale * rot * loc

TODO: need to have a version that allows for rotation order...

Definition at line 2653 of file math_matrix.c.

References copy_m4_m3(), eul_to_mat3(), mul_m3_m3m3(), R, size(), size_to_mat3(), and unit_m4().

Referenced by BKE_gpencil_instance_modifier_instance_tfm(), BKE_gpencil_layer_addnew(), BKE_gpencil_prepare_eval_data(), BKE_gpencil_update_layer_transforms(), blo_do_versions_290(), deformStroke(), ED_gpencil_project_point_to_plane(), ED_gpencil_project_stroke_to_plane(), ED_gpencil_stroke_reproject(), blender::float4x4::from_loc_eul_scale(), gpencil_paint_initstroke(), gpencil_primitive_set_initdata(), gpencil_sculpt_compute_lock_axis(), greasepencil_copy_data(), and OVERLAY_gpencil_cache_init().

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],
		const short	rotOrder
	)

Make a 4x4 matrix out of 3 transform components. Matrices are made in the order: scale * rot * loc

Definition at line 2681 of file math_matrix.c.

References copy_m4_m3(), eulO_to_mat3(), mul_m3_m3m3(), R, size(), size_to_mat3(), and unit_m4().

Referenced by bc_create_restpose_mat(), childof_evaluate(), and rotlimit_evaluate().

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]
	)

Make a 4x4 matrix out of 3 transform components. Matrices are made in the order: scale * rot * loc

Definition at line 2710 of file math_matrix.c.

References copy_m4_m3(), mul_m3_m3m3(), quat_to_mat3(), R, size(), size_to_mat3(), and unit_m4().

Referenced by blend_m4_m4m4(), get_dupliface_transform_from_coords(), get_duplivert_transform(), loc_axisangle_size_to_mat4(), and make_child_duplis_pointcloud().

loc_rot_size_to_mat3()

void loc_rot_size_to_mat3	(	float	R[3][3],
		const float	loc[2],
		const float	angle,
		const float	size[2]
	)

Make a 3x3 matrix out of 3 transform components. Matrices are made in the order: loc * rot * scale

Definition at line 2622 of file math_matrix.c.

References angle(), R, rescale_m3(), rotate_m3(), size(), translate_m3(), and unit_m3().

Referenced by sequencer_image_crop_transform_do_thread().

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]
	)

Make a 4x4 matrix out of 3 transform components. Matrices are made in the order: scale * rot * loc

Definition at line 2637 of file math_matrix.c.

References copy_m4_m3(), copy_v3_v3(), R, rescale_m4(), rot, and size().

Referenced by mul_m4_m4m4_aligned_scale(), rotlike_evaluate(), and transform_evaluate().

madd_m3_m3m3fl()

void madd_m3_m3m3fl	(	float	R[3][3],
		const float	A[3][3],
		const float	B[3][3],
		const float	f
	)

Definition at line 1058 of file math_matrix.c.

References A, B, and R.

Referenced by pchan_deform_accumulate(), and splineik_evaluate_bone().

madd_m4_m4m4fl()

void madd_m4_m4m4fl	(	float	R[4][4],
		const float	A[4][4],
		const float	B[4][4],
		const float	f
	)

Definition at line 1069 of file math_matrix.c.

References A, B, and R.

Referenced by armdef_accumulate_matrix().

mat3_polar_decompose()

void mat3_polar_decompose	(	const float	mat3[3][3],
		float	r_U[3][3],
		float	r_P[3][3]
	)

Right polar decomposition: M = UP

U is the 'rotation'-like component, the closest orthogonal matrix to M. P is the 'scaling'-like component, defined in U space.

See https://en.wikipedia.org/wiki/Polar_decomposition for more.

Definition at line 2282 of file math_matrix.c.

References BLI_svd_m3(), mul_m3_m3m3(), mul_m3_series, size_to_mat3(), transpose_m3_m3(), and V.

Referenced by interp_m3_m3m3().

mat3_to_rot_size()

void mat3_to_rot_size	(	float	rot[3][3],
		float	size[3],
		const float	mat3[3][3]
	)

Definition at line 2214 of file math_matrix.c.

References is_negative_m3(), negate_m3(), negate_v3(), normalize_v3_v3(), rot, size(), and UNLIKELY.

Referenced by blend_m3_m3m3(), mat4_to_loc_rot_size(), Matrix_to_scale(), and TransMat3ToSize().

mat3_to_scale()

float mat3_to_scale

(

const float

mat[3][3]

)

This gets the average scale of a matrix, only use when your scaling data that has no idea of scale axis, examples are bone-envelope-radius and curve radius.

Definition at line 2187 of file math_matrix.c.

References copy_v3_fl(), len_v3(), M_SQRT1_3, and mul_m3_v3().

Referenced by apply_objects_internal(), Matrix_median_scale_get(), and multires_apply_smat().

mat3_to_size()

void mat3_to_size	(	float	size[3],
		const float	M[3][3]
	)

Definition at line 2138 of file math_matrix.c.

References len_v3(), M, and size().

Referenced by apply_targetless_ik(), applySkinResize(), ElementBoneSize(), ElementResize(), orthogonalize_m3(), and where_is_ik_bone().

mat3_to_volume_scale()

float mat3_to_volume_scale

(

const float

mat[3][3]

)

This computes the overall volume scale factor of a transformation matrix. For an orthogonal matrix, it is the product of all three scale values. Returns a negative value if the transform is flipped by negative scale.

Definition at line 2172 of file math_matrix.c.

References determinant_m3_array().

mat4_decompose()

void mat4_decompose	(	float	loc[3],
		float	quat[4],
		float	size[3],
		const float	wmat[4][4]
	)

Definition at line 2265 of file math_matrix.c.

References mat3_normalized_to_quat(), mat4_to_loc_rot_size(), rot, and size().

Referenced by AnimationImporter::apply_matrix_curves(), blender::nodes::geo_node_object_info_exec(), and BCMatrix::set_transform().

mat4_to_loc_quat()

void mat4_to_loc_quat	(	float	loc[3],
		float	quat[4],
		const float	wmat[4][4]
	)

Definition at line 2247 of file math_matrix.c.

References copy_m3_m4(), copy_v3_v3(), is_negative_m3(), mat3_normalized_to_quat(), negate_m3(), and normalize_m3_m3().

Referenced by wm_xr_session_base_pose_calc().

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 at line 2236 of file math_matrix.c.

References copy_m3_m4(), copy_v3_v3(), mat3_to_rot_size(), rot, and size().

Referenced by BKE_object_apply_mat4_ex(), BKE_pchan_apply_mat4(), blend_m4_m4m4(), blender::io::alembic::copy_m44_axis_swap(), mat4_decompose(), Matrix_decompose(), mul_m4_m4m4_aligned_scale(), object_convert_exec(), object_preview_camera_create(), ObjectToTransData(), rotlike_evaluate(), and transform_evaluate().

mat4_to_rot()

void mat4_to_rot	(	float	rot[3][3],
		const float	wmat[4][4]
	)

Definition at line 2226 of file math_matrix.c.

References is_negative_m3(), negate_m3(), normalize_v3_v3(), rot, and UNLIKELY.

Referenced by blender::nodes::compute_special_attributes().

mat4_to_scale()

float mat4_to_scale

(

const float

M[4][4]

)

Definition at line 2196 of file math_matrix.c.

References copy_v3_fl(), len_v3(), M_SQRT1_3, and mul_mat3_m4_v3().

Referenced by add_verts_to_dgroups(), arrayModifier_doArray(), BKE_armature_transform(), BKE_curve_transform(), BKE_gpencil_point_coords_apply_with_mat4(), BKE_gpencil_transform(), BKE_mball_minmax_ex(), BKE_mball_transform(), BKE_shrinkwrap_project_normal(), drw_shgroup_bone_envelope(), drw_shgroup_bone_envelope_distance(), duplicateStroke(), dyntopo_detail_size_parallel_lines_draw(), dyntopo_detail_size_sample_from_surface(), ED_armature_edit_transform(), ED_curve_join_objects_exec(), edbm_bevel_init(), edbm_inset_init(), eevee_lightbake_cube_influence_volume(), eevee_lightbake_grid_influence_volume(), gpencil_layer_cache_populate(), gpencil_object_cache_add(), gpencil_uv_transform_init(), gpencil_vfx_blur(), gpencil_vfx_pixelize(), gpencil_vfx_rim(), gpencil_vfx_shadow(), gpencil_vfx_swirl(), gpencil_vfx_wave(), paint_calc_object_space_radius(), sample_detail_dyntopo(), sculpt_detail_flood_fill_exec(), sculpt_stroke_update_step(), and statvis_calc_thickness().

mat4_to_size()

void mat4_to_size	(	float	size[3],
		const float	M[4][4]
	)

Definition at line 2145 of file math_matrix.c.

References len_v3(), M, and size().

Referenced by actcon_get_tarmat(), AnimationImporter::add_bone_animation_sampled(), arrayModifier_doArray(), bc_decompose(), BKE_bone_parent_transform_calc_from_matrices(), BKE_object_dimensions_get(), BKE_pchan_bbone_spline_params_get(), camera_stereo3d_model_matrix(), childof_evaluate(), constraintSizeLim(), EEVEE_volumes_cache_object_add(), followpath_evaluate(), make_duplis_particle_system(), mat4_to_dquat(), mat4_to_size_fix_shear(), orthogonalize_m4(), rotlimit_evaluate(), samevolume_evaluate(), blender::float4x4::scale(), sizelike_evaluate(), sizelimit_evaluate(), trackto_evaluate(), transform_evaluate(), AnimationImporter::translate_animation_OLD(), unwrap_exec(), visualkey_get_values(), where_is_ik_bone(), and workbench_volume_object_cache_populate().

mat4_to_size_fix_shear()

void mat4_to_size_fix_shear	(	float	size[3],
		const float	M[4][4]
	)

Extract scale factors from the matrix, with correction to ensure exact volume in case of a sheared matrix.

Definition at line 2156 of file math_matrix.c.

References fabsf, M, mat4_to_size(), mat4_to_volume_scale(), mul_v3_fl(), and size().

Referenced by BKE_bone_parent_transform_calc_from_matrices().

mat4_to_volume_scale()

float mat4_to_volume_scale

(

const float

M[4][4]

)

Definition at line 2177 of file math_matrix.c.

References determinant_m4_mat3_array().

Referenced by BKE_bone_parent_transform_calc_from_matrices(), dvar_eval_transChan(), mat4_to_size_fix_shear(), and sizelike_evaluate().

mat4_to_xy_scale()

float mat4_to_xy_scale

(

const float

M[4][4]

)

Return 2D scale (in XY plane) of given mat4.

Definition at line 2206 of file math_matrix.c.

References float(), len_v3(), M, M_SQRT1_2, and mul_mat3_m4_v3().

mul_m2_v2()

void mul_m2_v2	(	const float	M[2][2],
		float	v[2]
	)

Definition at line 788 of file math_matrix.c.

References mul_v2_m2v2().

Referenced by bm_face_array_uv_rotate_fit_aabb(), BM_face_uv_transform(), compensate_rotation_center(), p_chart_uv_transform(), rotation_contribution(), and Vector_rotate().

mul_m3_fl()

void mul_m3_fl	(	float	R[3][3],
		float	f
	)

Definition at line 960 of file math_matrix.c.

References R.

Referenced by armature_vert_task_with_dvert(), dfdv_damp(), dfdx_spring(), ElementRotation_ex(), interp_m3_m3m3(), mul_v3m3_dq(), SIM_hair_volume_vertex_grid_forces(), SIM_mass_spring_force_drag(), SIM_mass_spring_force_reference_frame(), SIM_mass_spring_force_spring_bending(), SIM_mass_spring_force_spring_linear(), SIM_mass_spring_set_vertex_mass(), spring_grad_dir(), spring_hairbend_estimate_dfdv(), spring_hairbend_estimate_dfdx(), and vcloud_estimate_transform_v3().

mul_m3_m3_post()

void mul_m3_m3_post	(	float	R[3][3],
		const float	B[3][3]
	)

Definition at line 412 of file math_matrix.c.

References A, B, BLI_assert, copy_m3_m3(), mul_m3_m3m3_uniq(), and R.

Referenced by mul_m3_m3m3(), and object_preview_camera_create().

mul_m3_m3_pre()

void mul_m3_m3_pre	(	float	R[3][3],
		const float	A[3][3]
	)

Definition at line 404 of file math_matrix.c.

References A, B, BLI_assert, copy_m3_m3(), mul_m3_m3m3_uniq(), and R.

Referenced by mul_m3_m3m3().

mul_m3_m3m3()

void mul_m3_m3m3	(	float	R[3][3],
		const float	A[3][3],
		const float	B[3][3]
	)

Definition at line 391 of file math_matrix.c.

References A, B, mul_m3_m3_post(), mul_m3_m3_pre(), mul_m3_m3m3_uniq(), and R.

Referenced by _va_mul_m3_series_3(), _va_mul_m3_series_4(), _va_mul_m3_series_5(), _va_mul_m3_series_6(), _va_mul_m3_series_7(), _va_mul_m3_series_8(), _va_mul_m3_series_9(), add_pose_transdata(), blender::nodes::align_rotations_auto_pivot(), blender::nodes::align_rotations_fixed_pivot(), apply_objects_internal(), apply_targetless_ik(), applyAlign(), applyAxisConstraintSize(), applyObjectConstraintRot(), applyObjectConstraintSize(), applySkinResize(), applyTrackball(), armature_bone_primitive_add_exec(), armature_finalize_restpose(), armature_transform_recurse(), BKE_bone_parent_transform_calc_from_matrices(), BKE_crazyspace_build_sculpt(), BKE_curve_deform_co(), BKE_object_rot_to_mat3(), BKE_object_to_mat3(), BKE_pchan_to_mat4(), blend_m3_m3m3(), cloth_parallel_transport_hair_frame(), blender::io::alembic::copy_m44_axis_swap(), createTransArmatureVerts(), drawObjectConstraint(), ED_armature_edit_transform(), ed_editnurb_spin(), ED_object_new_primitive_matrix(), ED_transform_calc_gizmo_stats(), EEVEE_lookdev_cache_init(), ElementBoneSize(), ElementMirror(), ElementResize(), ElementRotation_ex(), Euler_rotate(), execute_posetree(), gimbal_axis(), gizmo_axis_draw(), gizmo_mesh_spin_redo_update_orient_axis(), interp_m3_m3m3(), loc_eul_size_to_mat4(), loc_eulO_size_to_mat4(), loc_quat_size_to_mat4(), locktrack_evaluate(), mat3_polar_decompose(), mat3_vec_to_roll(), Matrix_rotate(), meshcache_do(), mul_v3m3_dq(), multiresModifier_prepare_join(), object_orient_to_location(), object_transform_axis_target_modal(), ObjectToTransData(), blender::nodes::point_rotate__axis_angle__object_space(), blender::nodes::point_rotate__axis_angle__point_space(), blender::nodes::point_rotate__euler__object_space(), blender::nodes::point_rotate__euler__point_space(), projection_matrix_calc(), Quaternion_rotate(), root_to_world_m3(), rotate_eul(), rotate_eulO(), rotlike_evaluate(), splineik_evaluate_bone(), transform_convert_mesh_crazyspace_transdata_set(), transform_data_ext_rotate(), transform_evaluate(), transform_pivot_set_m3(), vcloud_estimate_transform_v3(), vec_roll_to_mat3_normalized(), vfont_to_curve(), and world_to_root_m3().

mul_m3_m3m3_uniq()

void mul_m3_m3m3_uniq	(	float	R[3][3],
		const float	A[3][3],
		const float	B[3][3]
	)

Definition at line 420 of file math_matrix.c.

References A, B, BLI_assert, ELEM, and R.

Referenced by mul_m3_m3_post(), mul_m3_m3_pre(), mul_m3_m3m3(), and mul_m4_m4m4_aligned_scale().

mul_m3_m3m4()

void mul_m3_m3m4	(	float	R[3][3],
		const float	A[3][3],
		const float	B[4][4]
	)

Definition at line 458 of file math_matrix.c.

References A, B, copy_m3_m3(), copy_m4_m4(), and R.

mul_m3_m4m3()

void mul_m3_m4m3	(	float	R[3][3],
		const float	A[4][4],
		const float	B[3][3]
	)

Definition at line 482 of file math_matrix.c.

References A, B, copy_m3_m3(), copy_m4_m4(), and R.

Referenced by transform_orientation_matrix_get().

mul_m3_m4m4()

void mul_m3_m4m4	(	float	R[3][3],
		const float	A[4][4],
		const float	B[4][4]
	)

Definition at line 525 of file math_matrix.c.

References A, B, and R.

Referenced by snap_selected_to_location(), and splineik_evaluate_bone().

mul_m3_v2()

void mul_m3_v2	(	const float	m[3][3],
		float	r[2]
	)

Definition at line 727 of file math_matrix.c.

References mul_v2_m3v2(), and r.

Referenced by flushTransMasking(), mask_evaluate_apply_point_parent(), and setup_vertex_point().

mul_m3_v3()

void mul_m3_v3	(	const float	M[3][3],
		float	r[3]
	)

Definition at line 930 of file math_matrix.c.

References M, mul_v3_m3v3(), r, and UNPACK3.

Referenced by apply_objects_internal(), applyAxisConstraintVec(), applyGridAbsolute(), applyObjectConstraintVec(), applyProject(), applyPushPull(), applyShear(), applyTranslationValue(), armature_calc_roll_exec(), armature_click_extrude_exec(), Bend(), BKE_mesh_remap_calc_polys_from_mesh(), BKE_mesh_transform(), bmesh_test_dist_add(), bmo_spin_exec(), calc_bbox(), calc_distanceCurveVerts(), calc_overlap(), cloth_filter_apply_forces_task_cb(), blender::nodes::compute_special_attributes(), contarget_get_mesh_mat(), convert_tree(), cube_face_uv_to_direction(), do_kink_spiral(), do_kink_spiral_deform(), ED_gpencil_join_objects_exec(), ED_object_new_primitive_matrix(), ED_view3d_minmax_verts(), ElementMirror(), ElementResize(), ElementRotation_ex(), execute_posetree(), filter(), flyApply(), getTransformOrientation_ex(), gizmo_axis_draw(), gizmo_bisect_prop_angle_set(), gizmo_mesh_spin_redo_setup(), gizmo_spin_prop_axis_angle_set(), gpencil_brush_twist_apply(), imapaint_tri_weights(), IMB_colormanagement_scene_linear_to_srgb_v3(), IMB_colormanagement_srgb_to_scene_linear_v3(), initFlyInfo(), mat3_to_quat_is_ok(), mat3_to_scale(), mball_select_similar_type(), mball_select_similar_type_get(), mesh_filter_task_cb(), meshcache_do(), meshdeform_vert_task(), move3d_get_translate(), mul_v3m3_dq(), nurb_bezt_direction_worldspace_get(), nurb_bpoint_direction_worldspace_get(), object_hook_recenter_exec(), object_origin_clear_exec(), object_origin_set_exec(), object_transform_axis_target_modal(), pivotcon_evaluate(), proj_paint_state_viewport_init(), psys_get_dupli_path_transform(), raycast_all_cb(), raycastEditMesh(), raycastMesh(), RE_bake_normal_world_to_tangent(), ResizeBetween(), rotateflagNurb(), RotationBetween(), SCULPT_cursor_geometry_info_update(), sculpt_flush_pbvhvert_deform(), sculpt_gesture_context_init_common(), sculpt_update_cache_invariants(), sh_node_vector_rotate_around_axis(), sh_node_vector_rotate_euler(), snap_curs_to_sel_ex(), snap_sel_to_grid_exec(), snap_selected_to_location(), transform_snap_increment_ex(), tri_to_quat_ex(), Vector_rotate(), viewops_data_create(), voxel_size_edit_invoke(), vwpaint_update_cache_invariants(), walkApply(), blender::compositor::warpCoord(), and WIDGETGROUP_xform_cage_refresh().

mul_m3_v3_db()

void mul_m3_v3_db	(	const double	M[3][3],
		double	r[3]
	)

Definition at line 935 of file math_matrix.c.

References M, mul_v3_m3v3_db(), r, and UNPACK3.

Referenced by BLI_quadric_optimize().

mul_m3_v3_double()

void mul_m3_v3_double	(	const float	M[3][3],
		double	r[3]
	)

Definition at line 1026 of file math_matrix.c.

References double(), M, r, x, and y.

mul_m4_fl()

void mul_m4_fl	(	float	R[4][4],
		float	f
	)

Definition at line 971 of file math_matrix.c.

References R.

Referenced by add_weighted_dq_dq(), armdef_evaluate(), and normalize_dq().

mul_m4_m3m4()

void mul_m4_m3m4	(	float	R[4][4],
		const float	A[3][3],
		const float	B[4][4]
	)

Definition at line 505 of file math_matrix.c.

References A, B, copy_m3_m3(), copy_m4_m4(), and R.

Referenced by constraintRotLim(), constraintSizeLim(), constraintTransLim(), damptrack_do_transform(), ED_armature_join_objects_exec(), face_dupli(), locktrack_evaluate(), splineik_evaluate_bone(), and trackto_evaluate().

mul_m4_m4_post()

void mul_m4_m4_post	(	float	R[4][4],
		const float	B[4][4]
	)

Definition at line 383 of file math_matrix.c.

References A, B, BLI_assert, copy_m4_m4(), mul_m4_m4m4_uniq(), and R.

Referenced by dyntopo_detail_size_edit_invoke(), GPU_matrix_mul(), modifyVolume(), mul_m4_m4m4(), SCULPT_do_pose_brush(), and voxel_size_edit_invoke().

mul_m4_m4_pre()

void mul_m4_m4_pre	(	float	R[4][4],
		const float	A[4][4]
	)

Definition at line 375 of file math_matrix.c.

References A, B, BLI_assert, copy_m4_m4(), mul_m4_m4m4_uniq(), and R.

Referenced by blender::nodes::geo_node_collection_info_exec(), make_duplis_instances_component(), and mul_m4_m4m4().

mul_m4_m4m3()

void mul_m4_m4m3	(	float	R[4][4],
		const float	A[4][4],
		const float	B[3][3]
	)

Definition at line 437 of file math_matrix.c.

References A, B, copy_m3_m3(), copy_m4_m4(), and R.

Referenced by applyarmature_adjust_edit_position(), convert_pose(), draw_bone_degrees_of_freedom(), OVERLAY_gpencil_cache_init(), set_axis(), and single_axis_convert().

mul_m4_m4m4()

void mul_m4_m4m4	(	float	R[4][4],
		const float	A[4][4],
		const float	B[4][4]
	)

Definition at line 262 of file math_matrix.c.

References A, B, mul_m4_m4_post(), mul_m4_m4_pre(), mul_m4_m4m4_uniq(), and R.

Referenced by _va_mul_m4_series_3(), _va_mul_m4_series_4(), _va_mul_m4_series_5(), _va_mul_m4_series_6(), _va_mul_m4_series_7(), _va_mul_m4_series_8(), _va_mul_m4_series_9(), ABC_get_transform(), actcon_evaluate(), action_flip_pchan(), AnimationImporter::add_bone_animation_sampled(), BCMatrix::add_inverted_transform(), TransformWriter::add_joint_transform(), add_primitive_cube_gizmo_exec(), BCMatrix::add_transform(), AnimationImporter::apply_matrix_curves(), BCMatrix::apply_transform(), applyarmature_process_selected_recursive(), armature_deform_coords_impl(), armdef_accumulate_bone(), armdef_accumulate_matrix(), armdef_evaluate(), armdef_get_tarmat(), arrayModifier_doArray(), base_callback(), bc_bone_matrix_local_get(), bc_match_scale(), bc_rotate_from_reference_quat(), bc_set_parent(), BKE_armature_mat_pose_to_delta(), BKE_armature_mat_world_to_pose(), BKE_armature_where_is_bone(), BKE_bone_parent_transform_apply(), BKE_bone_parent_transform_calc_from_matrices(), BKE_bone_parent_transform_combine(), BKE_constraint_mat_convertspace(), BKE_constraints_clear_evalob(), BKE_constraints_make_evalob(), BKE_gpencil_layer_transform_matrix_get(), BKE_gpencil_update_layer_transforms(), BKE_lattice_deform_data_create(), BKE_mesh_mirror_apply_mirror_on_axis_for_modifier(), BKE_object_apply_mat4_ex(), BKE_object_eval_parent(), BKE_object_eval_proxy_copy(), BKE_object_get_parent_matrix(), BKE_object_make_proxy(), BKE_object_matrix_local_get(), BKE_object_modifier_gpencil_hook_reset(), BKE_object_modifier_hook_reset(), BKE_pchan_bbone_segments_cache_compute(), BKE_pchan_bbone_spline_params_get(), BKE_pose_bone_done(), BKE_pose_where_is(), BKE_texture_mapping_init(), BKE_tracking_get_projection_matrix(), BLI_space_transform_from_matrices(), BLI_space_transform_global_from_matrices(), BMD_mesh_intersection(), bundle_midpoint(), button2d_draw_intern(), calc_brush_local_mat(), AnimationImporter::calc_joint_parent_mat_rest(), camera_stereo3d_model_matrix(), camera_view3d_reconstruction(), camerasolver_evaluate(), clampto_evaluate(), clipMirrorModifier(), constraint_target_to_mat4(), convert_pose(), convert_tree(), copy_dupli_context(), blender::io::alembic::copy_m44_axis_swap(), DocumentImporter::create_instance_node(), blender::io::alembic::create_transform_matrix(), cuboid_do(), deformStroke(), deformVerts_do(), do_clay_strips_brush(), do_clay_thumb_brush(), blender::io::alembic::ABCTransformWriter::do_write(), blender::io::usd::USDTransformWriter::do_write(), dquat_to_mat4(), draw_bone_degrees_of_freedom(), draw_bone_update_disp_matrix_bbone(), draw_view_matrix_state_update(), DRW_debug_sphere(), DRW_hair_duplimat_get(), drw_shgroup_bone_axes(), drw_shgroup_bone_box(), drw_shgroup_bone_custom_empty(), drw_shgroup_bone_custom_solid(), drw_shgroup_bone_custom_wire(), drw_shgroup_bone_octahedral(), drw_shgroup_bone_point(), dvar_eval_transChan(), ebone_spline_preview(), ED_armature_join_objects_exec(), ED_curve_join_objects_exec(), ED_gpencil_reset_layers_parent(), ED_object_data_xform_container_update_all(), ED_object_xform_skip_child_container_update_all(), ED_transform_calc_gizmo_stats(), ED_view3d_boundbox_clip_ex(), ED_view3d_camera_lock_sync(), ED_view3d_cameracontrol_update(), ED_view3d_draw_offscreen_imbuf_simple(), ED_view3d_init_mats_rv3d(), ED_view3d_ob_project_mat_get(), ED_view3d_ob_project_mat_get_from_obmat(), ED_view3d_update_viewmat(), edbm_extrude_edge_exclude_mirror(), edit_text_cache_populate_cursor(), edit_text_cache_populate_select(), eevee_ensure_cube_views(), EEVEE_lightprobes_cube_data_from_object(), EEVEE_lightprobes_planar_data_from_object(), eevee_volume_object_grids_init(), AnimationImporter::evaluate_transform_at_frame(), execute_posetree(), face_dupli(), followpath_evaluate(), followpath_get_tarmat(), followtrack_evaluate_using_2d_position(), followtrack_evaluate_using_3d_position_camera(), blender::nodes::geo_node_object_info_exec(), AnimationImporter::get_joint_rest_mat(), TransformReader::get_node_mat(), get_quick_mesh(), gizmo_cage2d_modal(), gizmo_cage3d_modal(), gizmo_placement_prop_matrix_get(), gizmo_placement_prop_matrix_set(), gpencil_depth_plane(), gpencil_object_cache_add(), gpencil_sculpt_brush_apply_standard(), gpencil_vertexpaint_brush_apply_to_layers(), gpencil_weightpaint_brush_apply_to_layers(), GPU_matrix_model_view_projection_get(), hair_create_input_mesh(), imapaint_pick_uv(), init_curve_deform(), Freestyle::BlenderFileLoader::insertShapeNode(), join_mesh_single(), lightbake_planar_ensure_view(), make_child_duplis_faces_from_editmesh(), make_child_duplis_faces_from_mesh(), make_child_duplis_pointcloud(), make_child_duplis_verts_from_editmesh(), make_child_duplis_verts_from_mesh(), make_dmats(), make_dupli(), make_duplis_collection(), make_duplis_font(), make_duplis_instances_component(), make_duplis_particle_system(), mat4_to_dquat(), matrix_from_obj_pchan(), meshdeformModifier_do(), minmax_evaluate(), MOD_get_texture_coords(), modifyMesh(), move3d_draw_intern(), normalEditModifier_do_directional(), ob_parcurve(), object_apply_mat4_with_protect(), object_solver_inverted_matrix(), object_warp_calc_view_matrix(), objectsolver_evaluate(), OVERLAY_bounds(), OVERLAY_texture_space(), OVERLAY_volume_extra(), pose_mirror_info_init(), pose_transform_mirror_update(), blender::io::gpencil::GpencilIO::prepare_camera_params(), proj_paint_state_viewport_init(), psys_mat_hair_to_global(), blender::io::alembic::AbcObjectReader::read_matrix(), reconstruct_retrieve_libmv_tracks(), reconstructed_camera_scale_set(), remap_hair_emitter(), render_cubemap(), BCQuat::rotate_to(), SCULPT_do_paint_brush(), sculpt_init_mirror_clipping(), sculpt_transform_matrices_init(), set_axis(), set_plane_exec(), snap_mesh_edge_verts_mixed(), snap_mesh_polygon(), snapArmature(), snapCurve(), snapEditMesh(), snapMesh(), solve_parenting(), sort_bmelem_flag(), sphere_do(), surfacedeformModifier_do(), target_callback(), transform_pivot_set_m4(), AnimationImporter::translate_animation_OLD(), update_mirror_object(), uvprojectModifier_do(), vertex_dupli(), view3d_viewmatrix_set(), vpaint_stroke_update_step(), warpModifier_do(), waveModifier_do(), where_is_ik_bone(), WIDGETGROUP_armature_spline_refresh(), WIDGETGROUP_xform_cage_refresh(), wireframe_hair_cache_populate(), WM_gizmo_calc_matrix_final_params(), wm_gizmo_calculate_scale(), wm_xr_draw_matrices_create(), workbench_shadow_object_shadow_bbox_get(), workbench_studiolight_data_update(), workbench_volume_object_cache_populate(), and wpaint_stroke_update_step().

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]
	)

Combines transformations, handling scale separately in a manner equivalent to the Aligned Inherit Scale mode, in order to avoid creating shear. If A scale is uniform, the result is equivalent to ordinary multiplication.

Definition at line 1294 of file math_matrix.c.

References A, B, loc_rot_size_to_mat4(), mat4_to_loc_rot_size(), mul_m3_m3m3_uniq(), mul_v3_m4v3(), mul_v3_v3v3(), and R.

Referenced by actcon_evaluate(), and translike_evaluate().

mul_m4_m4m4_db_uniq()

void mul_m4_m4m4_db_uniq	(	double	R[4][4],
		const double	A[4][4],
		const double	B[4][4]
	)

Definition at line 320 of file math_matrix.c.

References A, B, BLI_assert, ELEM, and R.

mul_m4_m4m4_uniq()

void mul_m4_m4m4_uniq	(	float	R[4][4],
		const float	A[4][4],
		const float	B[4][4]
	)

Definition at line 275 of file math_matrix.c.

References A, A0, A1, A2, B, Freestyle::B0(), Freestyle::B1(), Freestyle::B2(), Freestyle::B3(), BLI_assert, ELEM, R, and sum().

Referenced by mul_m4_m4_post(), mul_m4_m4_pre(), and mul_m4_m4m4().

mul_m4_v3()

void mul_m4_v3	(	const float	M[4][4],
		float	r[3]
	)

Definition at line 732 of file math_matrix.c.

References M, r, x, and y.

Referenced by add_vertex_exec(), add_verts_to_dgroups(), apply_curve_transform(), applyarmature_process_selected_recursive(), applyGridAbsolute(), applyProject(), applyTranslationValue(), armature_bone_primitive_add_exec(), armature_calc_roll_exec(), armature_transform_recurse(), armature_vert_task_with_dvert(), armdef_evaluate(), arrayModifier_doArray(), BKE_curve_deform_co(), BKE_curve_transform_ex(), BKE_gpencil_convert_mesh(), BKE_gpencil_stroke_add_points(), BKE_gpencil_stroke_from_view_space(), BKE_gpencil_stroke_to_view_space(), BKE_gpencil_transform(), BKE_gpencil_update_layer_transforms(), BKE_lattice_transform(), BKE_mball_transform(), BKE_mesh_mirror_apply_mirror_on_axis_for_modifier(), BKE_mesh_transform(), BM_mesh_calc_uvs_circle(), BMBVH_EdgeVisible(), BMD_mesh_intersection(), bmo_create_circle_exec(), bmo_create_cone_exec(), bmo_create_cube_exec(), bmo_create_icosphere_exec(), bmo_create_monkey_exec(), bmo_create_uvsphere_exec(), bmo_transform_exec(), bone_direction_worldspace_get(), box_minmax_bounds_m4(), bpy_bmesh_transform(), brush_add(), brush_add_count_iter(), brush_puff(), calc_local_y(), calc_point_from_barycentric_cage(), calc_point_from_barycentric_extrusion(), calc_sculpt_plane(), calculate_autoscale_factor(), calculateCenterActive(), camera_view3d_reconstruction(), clipMirrorModifier(), cloth_from_object(), cloth_to_object(), cloth_update_verts(), createTransParticleVerts(), createTransSculpt(), cuboid_do(), cursor_draw_point_screen_space(), cursor_draw_point_with_symmetry(), curve_deform_coords_impl(), deflect_emitter_iter(), deformStroke(), deformVerts(), densfunc(), disconnect_hair(), do_brush_action(), do_guides(), do_pose_brush_task_cb_ex(), do_step_cloth(), do_texture_effector(), draw_bone_name(), draw_frustum_bound_sphere_calc(), draw_frustum_boundbox_calc(), draw_marker_texts(), drw_call_culling_init(), DRW_debug_m4(), drw_shgroup_bone_stick(), drw_shgroup_bone_wire(), DRW_text_cache_draw(), DRW_text_edit_mesh_measure_stats(), dvar_eval_locDiff(), dynamic_paint_brush_velocity_compute_cb(), dynamicPaint_brushObjectCalculateVelocity(), dynamicPaint_generateBakeData(), dynamicPaint_paintMesh(), ED_armature_edit_transform(), ED_armature_join_objects_exec(), ED_armature_origin_set(), ED_curve_join_objects_exec(), ED_gpencil_project_stroke_to_view(), ED_gpencil_reset_layers_parent(), ED_gpencil_stroke_reproject(), ED_mesh_deform_bind_callback(), ED_object_calc_active_center(), ED_transform_calc_gizmo_stats(), ED_view3d_clipping_calc(), ED_view3d_win_to_3d_on_plane_with_fallback(), edbm_dupli_extrude_cursor_invoke(), edbm_polybuild_face_at_cursor_invoke(), edbm_polybuild_split_at_cursor_invoke(), EDBM_unified_findnearest_from_raycast(), edge_pos_direction_worldspace_get(), edge_slide_snap_apply(), eevee_lightprobes_culling_test(), EEVEE_lightprobes_grid_data_from_object(), EEVEE_lightprobes_planar_data_from_object(), EEVEE_shadows_caster_register(), explodeMesh(), flushTransParticles(), get_cpa_texture(), get_effector_data(), get_quick_mesh(), gizmo_arrow_test_select(), gizmo_mesh_spin_init_refresh(), gizmo_plane_draw_grid(), gizmo_window_project_2d(), gizmo_window_project_3d(), globallen(), blender::io::gpencil::GpencilIO::gpencil_3D_point_to_render_space(), gpencil_add_verts_to_dgroups(), gpencil_brush_clone_add(), gpencil_brush_grab_apply_cached(), gpencil_generate_edgeloops(), gpencil_object_cache_add(), gpencil_point_3d_to_xy(), gpencil_point_to_xy(), gpencil_point_to_xy_fl(), gpencil_sbuffer_stroke_ensure(), gpencil_speed_guide_init(), greasepencil_copy_data(), hair_create_input_mesh(), init_meta(), Freestyle::BlenderFileLoader::insertShapeNode(), join_mesh_single(), knife_find_line_hits(), knife_input_ray_segment(), knife_start_cut(), knifetool_draw_angle_snapping(), lineart_gpencil_generate(), make_duplis_font(), merge_target(), mesh_bisect_exec(), mesh_merge_transform(), MOD_get_texture_coords(), modifyMesh(), motionpaths_calc_bake_targets(), mul_project_m4_v3(), mul_v3m3_dq(), object_origin_set_exec(), paint_brush_stroke_add_step(), paint_cursor_update_pixel_radius(), paint_line_strokes_spacing(), paint_proj_begin_clone(), paint_space_stroke(), paint_stroke_curve_end(), paint_stroke_modal(), particles_fluid_step(), PE_lasso_select(), PE_minmax(), PE_mirror_particle(), PE_update_mirror_cache(), point_is_visible(), pointdensity_cache_object(), pointdensity_cache_psys(), precalc_guides(), precalculate_effector(), project_paint_op(), psys_apply_hair_lattice(), psys_cache_edit_paths_iter(), psys_get_birth_coords(), psys_get_particle_on_path(), psys_get_texture(), psys_thread_create_path(), raycastEditMesh(), raycastMesh(), remap_hair_emitter(), remove_doubles_exec(), save_hair(), SCULPT_brush_strength_factor(), sculpt_brush_test_clipping(), SCULPT_cache_calc_brushdata_symm(), SCULPT_calc_brush_plane(), SCULPT_clip(), sculpt_face_sets_change_visibility_exec(), SCULPT_raycast_init(), sculpt_topology_update(), sculpt_transform_task_cb(), shrinkwrap_get_tarmat(), snap_curs_to_sel_ex(), snap_mesh_edge_verts_mixed(), snap_mesh_polygon(), snap_sel_to_grid_exec(), snap_selected_to_location(), snap_target_median_impl(), snapArmature(), snapCamera(), snapCurve(), snapEditMesh(), snapMesh(), softbody_reset(), softbody_to_object(), softbody_update_positions(), sort_bmelem_flag(), sphere_do(), spin_exec(), springs_from_mesh(), TargetSnapClosest(), update_mirror_object(), update_sculpt_normal(), update_world_cos(), updateDuplicateActionConstraintSettings(), updateDuplicateLocRotConstraintSettings(), uv_cylinder_project(), uv_sphere_project(), uv_warp_from_mat4_pair(), uvprojectModifier_do(), v3d_editvertex_buts(), vert_slide_snap_apply(), view3d_orbit_calc_center(), view3d_preselect_update_preview_triangle_from_edge(), view3d_preselect_update_preview_triangle_from_vert(), view3d_viewmatrix_set(), viewselected_exec(), warpModifier_do(), and workbench_shadow_object_shadow_bbox_get().

mul_m4_v4()

void mul_m4_v4	(	const float	M[4][4],
		float	r[4]
	)

Definition at line 866 of file math_matrix.c.

References mul_v4_m4v4(), and r.

Referenced by BLI_uvproject_from_camera(), BLI_uvproject_from_view(), box_clip_bounds_m4(), camera_frame_fit_data_init(), drw_sculpt_get_frustum_planes(), drw_shgroup_bone_envelope(), drw_shgroup_bone_envelope_distance(), ED_view3d_global_to_vector(), ED_view3d_offset_distance(), ed_view3d_project__internal(), ED_view3d_project_float_v2_m4(), ED_view3d_project_float_v3_m4(), GPU_matrix_project(), imapaint_project(), paint_proj_begin_clone(), proj_paint_state_screen_coords_init(), project_paint_face_init(), tri_corner_adj_vmesh(), and view3d_boundbox_clip_m4().

mul_m4_v4d()

void mul_m4_v4d	(	const float	M[4][4],
		double	r[4]
	)

Definition at line 887 of file math_matrix.c.

References mul_v4d_m4v4d(), and r.

mul_m4db_m4db_m4fl_uniq()

void mul_m4db_m4db_m4fl_uniq	(	double	R[4][4],
		const double	A[4][4],
		const float	B[4][4]
	)

Definition at line 347 of file math_matrix.c.

References A, B, BLI_assert, ELEM, and R.

Referenced by lineart_geometry_object_load(), and lineart_main_load_geometries().

mul_mat3_m4_fl()

void mul_mat3_m4_fl	(	float	R[4][4],
		float	f
	)

Definition at line 982 of file math_matrix.c.

References R.

Referenced by add_primitive_monkey_exec(), BKE_bone_parent_transform_calc_from_matrices(), curvesurf_prim_add(), drawDial3d(), effector_add_exec(), make_duplis_particle_system(), uvprojectModifier_do(), and WM_gizmo_calc_matrix_final_params().

mul_mat3_m4_v3()

void mul_mat3_m4_v3	(	const float	M[4][4],
		float	r[3]
	)

Same as mul_m4_v3() but doesn't apply translation component.

Definition at line 794 of file math_matrix.c.

References M, r, x, and y.

Referenced by armature_finalize_restpose(), armature_transform_recurse(), arrayModifier_doArray(), BKE_lattice_deform_data_create(), BKE_volume_density_scale(), BLI_space_transform_apply_normal(), BLI_space_transform_invert_normal(), BM_mesh_calc_uvs_cone(), brush_comb(), brush_puff(), brush_smooth_do(), brush_smooth_get(), calcVertSlideMouseActiveEdges(), cast_ray_highpoly(), damptrack_do_transform(), do_guides(), do_kink(), do_kink_spiral(), drawVertSlide(), DRW_text_edit_mesh_measure_stats(), dynamic_paint_generate_bake_data_cb(), dynamicPaint_paintMesh(), ED_armature_origin_set(), ED_gpencil_project_point_to_plane(), ED_gpencil_project_stroke_to_plane(), ED_text_to_object(), ED_view3d_distance_set(), ED_view3d_to_m4(), edbm_dupli_extrude_cursor_invoke(), ElementResize(), face_dupli(), get_effector_data(), getTransformOrientation_ex(), gpencil_brush_clone_add(), gpencil_brush_push_apply(), gpencil_depth_plane(), gpencil_object_cache_add(), gpencil_sculpt_compute_lock_axis(), initShear_mouseInputMode(), Freestyle::BlenderFileLoader::insertShapeNode(), make_child_duplis_pointcloud(), mat4_to_scale(), mat4_to_xy_scale(), mesh_merge_transform(), modifyMesh(), precalc_guides(), precalculate_effector(), psys_get_birth_coords(), psys_get_particle_on_path(), psys_vec_rot_to_face(), raycastEditMesh(), raycastMesh(), RE_bake_normal_world_to_object(), SCULPT_filter_to_object_space(), SCULPT_filter_to_orientation_space(), sculpt_gesture_trim_shape_origin_normal_get(), sculpt_update_brush_delta(), shrinkwrap_get_tarmat(), uvprojectModifier_do(), vertex_dupli(), view3d_viewmatrix_set(), walk_ray_cast(), and workbench_studiolight_data_update().

mul_project_m4_v3()

void mul_project_m4_v3	(	const float	M[4][4],
		float	vec[3]
	)

Definition at line 824 of file math_matrix.c.

References fabsf, mul_m4_v3(), mul_project_m4_v3_zfac(), and w().

Referenced by draw_frustum_boundbox_calc(), draw_view_matrix_state_update(), DRW_debug_m4_as_bbox(), ED_view3d_win_to_origin(), ED_view3d_win_to_vector(), EEVEE_temporal_sampling_matrices_calc(), knife_interp_v3_v3v3(), screen_px_to_vector_persp(), and uvprojectModifier_do().

mul_transposed_m3_v3()

void mul_transposed_m3_v3	(	const float	M[3][3],
		float	r[3]
	)

Definition at line 940 of file math_matrix.c.

References M, r, x, and y.

Referenced by BM_edge_calc_face_angle_with_imat3_ex(), BMD_mesh_intersection(), cloth_hair_update_bending_rest_targets(), and world_to_root_v3().

mul_transposed_mat3_m4_v3()

void mul_transposed_mat3_m4_v3	(	const float	M[4][4],
		float	r[3]
	)

Definition at line 950 of file math_matrix.c.

References M, r, x, and y.

Referenced by calc_point_from_barycentric_extrusion(), displaceModifier_do_task(), face_to_plane(), mesh_bisect_exec(), RE_bake_normal_world_to_tangent(), similar_face_select_exec(), similar_vert_select_exec(), snap_mesh_edge_verts_mixed(), snap_mesh_polygon(), snapEditMesh(), snapMesh(), statvis_calc_overhang(), and stroke_elem_project_fallback().

mul_v2_m2v2()

void mul_v2_m2v2	(	float	r[2],
		const float	M[2][2],
		const float	v[2]
	)

Definition at line 780 of file math_matrix.c.

References r, and x.

Referenced by mul_m2_v2(), snap_v2_angle(), and stitch_uv_rotate().

mul_v2_m3v2()

void mul_v2_m3v2	(	float	r[2],
		const float	m[3][3],
		const float	v[2]
	)

Definition at line 714 of file math_matrix.c.

References copy_v2_v2(), mul_v3_m3v3(), r, and v.

Referenced by MaskHandleToTransData(), MaskPointToTransData(), mul_m3_v2(), and sequencer_image_crop_transform_do_thread().

mul_v2_m3v3()

void mul_v2_m3v3	(	float	r[2],
		const float	M[3][3],
		const float	a[3]
	)

Definition at line 921 of file math_matrix.c.

References Freestyle::a, copy_v3_v3(), M, r, and t.

Referenced by BKE_mesh_recalc_looptri(), BKE_mesh_remap_calc_polys_from_mesh(), BKE_mesh_tessface_calc_ex(), BLI_scanfill_calc_ex(), bm_edge_calc_rotate_beauty__area(), bm_face_bisect_verts(), BM_face_calc_tessellation(), BM_face_interp_from_face(), BM_face_interp_from_face_ex(), BM_face_point_inside_test(), BM_face_split_edgenet(), BM_face_split_edgenet_connect_islands(), BM_face_splits_check_legal(), BM_face_triangulate(), bm_interp_face_store(), BM_loop_interp_from_face(), BM_mesh_calc_tessellation(), BM_mesh_calc_tessellation_beauty(), BM_vert_interp_from_face(), C_BVHTree_FromPolygons(), normalize_v2_m3_v3v3(), p_add_ngon(), poly_rotate_plane(), and smart_project_exec().

mul_v2_m4v3()

void mul_v2_m4v3	(	float	r[2],
		const float	M[4][4],
		const float	v[3]
	)

Definition at line 772 of file math_matrix.c.

References r, and x.

Referenced by mul_v2_project_m4_v3().

mul_v2_project_m4_v3()

void mul_v2_project_m4_v3	(	float	r[2],
		const float	M[4][4],
		const float	vec[3]
	)

Definition at line 845 of file math_matrix.c.

References fabsf, mul_project_m4_v3_zfac(), mul_v2_m4v3(), r, and w().

Referenced by uvprojectModifier_do().

mul_v3_m3v3()

void mul_v3_m3v3	(	float	r[3],
		const float	M[3][3],
		const float	a[3]
	)

Definition at line 901 of file math_matrix.c.

References Freestyle::a, copy_v3_v3(), M, r, and t.

Referenced by blender::nodes::align_rotations_auto_pivot(), blender::nodes::align_rotations_fixed_pivot(), apply_tangmat_callback(), applyMouseInput(), applyNormalRotation(), applyTranslation(), assign_final_coords_from_mdisps(), assign_final_elements_from_orig_mdisps(), average_read_displacement_object(), BLI_newton3d_solve(), BM_face_calc_area_with_mat3(), BM_face_calc_perimeter_with_mat3(), bmesh_test_dist_add(), bmo_create_uvsphere_exec(), calc_deltas(), cloth_hair_update_bending_targets(), correctivesmooth_modifier_do(), deformStroke(), deformVerts_do(), do_rotate_brush_task_cb_ex(), ED_gpencil_join_objects_exec(), edbm_extrude_repeat_exec(), eval_displacement(), evaluate_final_original_point(), evaluate_higher_grid_positions_with_details_callback(), gizmo_axis_draw(), gizmo_mesh_spin_init_refresh(), gizmo_mesh_spin_redo_update_from_op(), gpencil_hook_co_apply(), hook_co_apply(), IMB_colormangement_rgb_to_xyz(), IMB_colormangement_xyz_to_rgb(), mesh_init_origspace(), modifyMesh(), mul_m3_v3(), mul_v2_m3v2(), multires_disp_run_cb(), multires_reshape_apply_base_update_mesh_coords(), object_grid_element_to_tangent_displacement(), object_origin_set_exec(), paintface_minmax(), reshape_subdiv_refine_orig_P(), root_to_world_v3(), set_prop_dist(), snap_selected_to_location(), track_plane_from_existing_motion(), and transform_point_by_tri_v3().

mul_v3_m3v3_db()

void mul_v3_m3v3_db	(	double	r[3],
		const double	M[3][3],
		const double	a[3]
	)

Definition at line 911 of file math_matrix.c.

References Freestyle::a, copy_v3_v3_db(), M, r, and t.

Referenced by mul_m3_v3_db().

mul_v3_m4v3()

void mul_v3_m4v3	(	float	r[3],
		const float	M[4][4],
		const float	v[3]
	)

Definition at line 742 of file math_matrix.c.

References r, x, and y.

Referenced by add_hook_object(), add_vertex_invoke(), add_verts_to_dgroups(), annotation_stroke_convertcoords(), applyarmature_adjust_edit_position(), armature_fill_bones_exec(), armdef_accumulate_bone(), bc_add_global_transform(), bc_apply_global_transform(), BKE_bone_parent_transform_apply(), BKE_bone_parent_transform_calc_from_matrices(), BKE_boundbox_minmax(), BKE_curve_nurbs_vert_coords_apply_with_mat4(), BKE_gpencil_point_coords_apply_with_mat4(), BKE_gpencil_stroke_from_view_space(), BKE_gpencil_stroke_to_view_space(), BKE_keyblock_curve_data_transform(), BKE_keyblock_data_set_with_mat4(), BKE_lattice_deform_data_eval_co(), BKE_lattice_vert_coords_apply_with_mat4(), BKE_mball_minmax_ex(), BKE_mesh_vert_coords_apply_with_mat4(), BKE_mesh_wrapper_vert_coords_copy_with_mat4(), BKE_object_as_kdtree(), BKE_object_foreach_display_point(), BKE_object_get_parent_matrix(), BKE_object_minmax(), BKE_object_minmax_dupli(), BKE_pchan_bbone_spline_params_get(), BKE_pose_minmax(), BLI_space_transform_apply(), BLI_space_transform_invert(), BLI_uvproject_from_view_ortho(), BM_mesh_calc_uvs_cone(), BM_mesh_vert_coords_apply_with_mat4(), bmo_create_grid_exec(), brush_puff(), bundle_midpoint(), cage3d_draw_circle_handles(), calc_local_clipping(), calc_local_y(), calc_multiplane_scrape_surface_task_cb(), calc_tw_center_with_matrix(), calculate_profile(), calculate_profile_segments(), calculateCenterLocal(), cast_ray_highpoly(), cloth_brush_solve_collision(), constraint_target_to_mat4(), contarget_get_lattice_mat(), contarget_get_mesh_mat(), cuboid_do(), curve_draw_stroke_from_operator_elem(), deformStroke(), do_clay_thumb_brush_task_cb_ex(), do_multiplane_scrape_brush_task_cb_ex(), do_set_scale(), blender::io::alembic::ABCPointsWriter::do_write(), drawObjectConstraint(), drawVertSlide(), drw_call_culling_init(), DRW_debug_line_v3v3(), drw_shgroup_bone_relationship_lines_ex(), drw_shgroup_bone_stick(), drw_shgroup_bone_wire(), ebone_spline_preview(), ED_clip_point_stable_pos(), ED_clip_point_stable_pos__reverse(), ED_gpencil_join_objects_exec(), ED_mesh_deform_bind_callback(), ED_transform_calc_gizmo_stats(), edbm_dupli_extrude_cursor_invoke(), edbm_extrude_edge_exclude_mirror(), edbm_polybuild_face_at_cursor_invoke(), EDBM_project_snap_verts(), edbm_screw_exec(), edbm_select_axis_exec(), EDBM_unified_findnearest_from_raycast(), edit_text_cache_populate_boxes(), face_to_plane(), followtrack_evaluate_using_2d_position(), followtrack_project_to_depth_object_if_needed(), generate_vert_coordinates(), get_new_constraint_target(), get_vert2ob_distance(), gizmo_move_modal(), gizmo_preselect_elem_test_select(), gpencil_3d_point_to_screen_space(), gpencil_add_verts_to_dgroups(), gpencil_apply_parent(), gpencil_apply_parent_point(), gpencil_brush_grab_apply_cached(), gpencil_brush_pinch_apply(), gpencil_brush_twist_apply(), gpencil_do_curve_circle_sel(), gpencil_draw_basic_stroke(), gpencil_draw_stroke_3d(), gpencil_edit_curve_stroke_iter_cb(), gpencil_hook_co_apply(), gpencil_point_to_parent_space(), gpencil_snap_to_grid(), gpencil_stroke_eraser_is_occluded(), gpencil_stroke_points_centroid(), gpencil_strokepoint_convertcoords(), gpencil_vfx_pixelize(), gpencil_vfx_shadow(), gpencil_vfx_swirl(), gpencil_vfx_wave(), GPU_matrix_unproject_with_precalc(), hook_co_apply(), kinematic_get_tarmat(), meshdeform_vert_task(), meshdeformModifier_do(), metaball_instance_data_set(), MOD_get_texture_coords(), mul_m4_m4m4_aligned_scale(), mul_v3_project_m4_v3(), nearestVert(), object_origin_set_exec(), object_warp_calc_view_matrix(), object_warp_transverts(), overlay_gpencil_draw_stroke_color_name(), OVERLAY_relationship_lines(), paint_calc_object_space_radius(), paint_space_stroke_spacing(), particle_system_minmax(), pchan_deform_accumulate(), pose_transform_mirror_update(), proj_paint_state_screen_coords_init(), raycast_all_cb(), reconstruct_retrieve_libmv_tracks(), remap_hair_emitter(), SCULPT_brush_test_cube(), SCULPT_clip(), sculpt_gesture_line_plane_from_tri(), sculpt_gesture_trim_calculate_depth(), sculpt_gesture_trim_geometry_generate(), sculpt_gesture_trim_shape_origin_normal_get(), sculpt_update_brush_delta(), selected_tracking_boundbox(), set_axis(), set_origin_exec(), set_plane_exec(), set_prop_dist(), shape_cut(), shape_cut_test_point(), snap_mesh_edge_verts_mixed(), snap_selected_to_location(), snap_to_pipe_profile(), sort_bmelem_flag(), sphere_do(), splineik_evaluate_bone(), stroke_elem_pressure_set(), stroke_elem_project_fallback(), surfacedeformBind(), tracking_stabilize_frame_interpolation_cb(), transdata_center_global_get(), uv_map_transform_center(), view3d_preselect_update_preview_triangle_from_vert(), voxel_size_edit_invoke(), vpaint_stroke_update_step(), warpModifier_do(), WIDGETGROUP_xform_cage_refresh(), workbench_shadow_object_shadow_bbox_get(), and wpaint_stroke_update_step().

mul_v3_m4v3_db()

void mul_v3_m4v3_db	(	double	r[3],
		const double	mat[4][4],
		const double	vec[3]
	)

Definition at line 752 of file math_matrix.c.

References r, x, and y.

Referenced by lineart_vert_transform().

mul_v3_mat3_m4v3()

void mul_v3_mat3_m4v3	(	float	r[3],
		const float	M[4][4],
		const float	v[3]
	)

Definition at line 804 of file math_matrix.c.

References r, x, and y.

Referenced by applyarmature_process_selected_recursive(), BKE_object_make_proxy(), bone_length_squared_worldspace_get(), cast_ray_highpoly(), edbm_dupli_extrude_cursor_invoke(), edge_length_squared_worldspace_get(), followtrack_distance_from_viewplane_get(), gizmo_calc_rect_view_scale(), knife_recalc_projmat(), lineart_main_get_view_vector(), move3d_get_translate(), object_origin_set_exec(), SCULPT_do_multiplane_scrape_brush(), sculpt_gesture_line_plane_from_tri(), SCULPT_tilt_apply_to_normal(), splineik_evaluate_bone(), workbench_shadow_cache_populate(), workbench_shadow_data_update(), and workbench_shadow_update().

mul_v3_mat3_m4v3_db()

void mul_v3_mat3_m4v3_db	(	double	r[3],
		const double	M[4][4],
		const double	v[3]
	)

Definition at line 814 of file math_matrix.c.

References r, x, and y.

Referenced by lineart_geometry_object_load().

mul_v3_project_m4_v3()

void mul_v3_project_m4_v3	(	float	r[3],
		const float	mat[4][4],
		const float	vec[3]
	)

Definition at line 835 of file math_matrix.c.

References fabsf, mul_project_m4_v3_zfac(), mul_v3_m4v3(), r, and w().

Referenced by dial_ghostarc_get_angles(), draw_frustum_bound_sphere_calc(), and knife_interp_v3_v3v3().

mul_v4_m4v3()

void mul_v4_m4v3	(	float	r[4],
		const float	M[4][4],
		const float	v[3]
	)

Definition at line 892 of file math_matrix.c.

References M, r, and v.

Referenced by GPU_matrix_project().

mul_v4_m4v3_db()

void mul_v4_m4v3_db	(	double	r[4],
		const double	mat[4][4],
		const double	vec[3]
	)

Definition at line 761 of file math_matrix.c.

References r, x, and y.

Referenced by lineart_triangle_cull_single(), lineart_triangle_edge_image_space_occlusion(), lineart_triangle_intersect(), and lineart_vert_transform().

mul_v4_m4v4()

void mul_v4_m4v4	(	float	r[4],
		const float	M[4][4],
		const float	v[4]
	)

Definition at line 854 of file math_matrix.c.

References r, v, x, y, and z.

Referenced by calculate_reprojection_error_at_marker(), draw_tracking_tracks(), DRW_culling_min_max_test(), mul_m4_v4(), snap_mesh_polygon(), snap_object_center(), snapArmature(), snapCurve(), snapEditMesh(), and snapMesh().

mul_v4d_m4v4d()

void mul_v4d_m4v4d	(	double	r[4],
		const float	M[4][4],
		const double	v[4]
	)

Definition at line 871 of file math_matrix.c.

References double(), r, v, x, y, and z.

Referenced by mul_m4_v4d().

negate_m3()

void negate_m3

(

float

R[3][3]

)

Definition at line 993 of file math_matrix.c.

References R.

Referenced by BMD_mesh_intersection(), mat3_to_rot_size(), mat4_to_loc_quat(), mat4_to_rot(), SIM_mass_spring_force_reference_frame(), SIM_mass_spring_force_spring_bending_hair(), spring_hairbend_estimate_dfdv(), and spring_hairbend_estimate_dfdx().

negate_m4()

void negate_m4

(

float

R[4][4]

)

Definition at line 1015 of file math_matrix.c.

References R.

Referenced by hide_show_exec(), sculpt_gesture_flip_for_symmetry_pass(), and sculpt_gesture_update_effected_nodes_by_clip_planes().

negate_mat3_m4()

void negate_mat3_m4

(

float

R[4][4]

)

Definition at line 1004 of file math_matrix.c.

References R.

Referenced by gizmo_placement_prop_matrix_set().

normalize_m2()

void normalize_m2

(

float

R[2][2]

)

Definition at line 1889 of file math_matrix.c.

References normalize_v2(), and R.

normalize_m2_ex()

void normalize_m2_ex	(	float	R[2][2],
		float	r_scale[2]
	)

Definition at line 1881 of file math_matrix.c.

References normalize_v2(), and R.

normalize_m2_m2()

void normalize_m2_m2	(	float	R[2][2],
		const float	M[2][2]
	)

Definition at line 1904 of file math_matrix.c.

References M, normalize_v2_v2(), and R.

Referenced by Vector_rotate().

normalize_m2_m2_ex()

void normalize_m2_m2_ex	(	float	R[2][2],
		const float	M[2][2],
		float	r_scale[2]
	)

Definition at line 1897 of file math_matrix.c.

References M, normalize_v2_v2(), and R.

normalize_m3()

void normalize_m3

(

float

R[3][3]

)

Definition at line 1919 of file math_matrix.c.

References normalize_v3(), and R.

Referenced by add_pose_transdata(), apply_targetless_ik(), axis_angle_to_gimbal_axis(), BKE_armature_transform(), BKE_mesh_transform(), camera_frame_fit_data_init(), convert_tree(), createObjectSpace(), createSpaceNormal(), createTransArmatureVerts(), createTransCursor_view3d(), createTransTexspace(), createViewSpace(), ED_armature_edit_transform(), ED_transform_calc_gizmo_stats(), ED_transform_calc_orientation_from_type_ex(), ED_view3d_from_m4(), execute_posetree(), gimbal_axis(), gizmo_mesh_extrude_draw_prepare(), idp_poject_surface_normal(), locktrack_evaluate(), mat3_to_quat_is_ok(), mat4_to_compatible_eulO(), mat4_to_eulO(), mathutils_any_to_rotmat(), Matrix_normalize(), Matrix_to_euler(), object_transform_axis_target_modal(), pivotcon_evaluate(), splineik_evaluate_bone(), and transform_orientation_matrix_get().

normalize_m3_ex()

void normalize_m3_ex	(	float	R[3][3],
		float	r_scale[3]
	)

Definition at line 1912 of file math_matrix.c.

References normalize_v3(), and R.

normalize_m3_m3()

void normalize_m3_m3	(	float	R[3][3],
		const float	M[3][3]
	)

Definition at line 1934 of file math_matrix.c.

References M, normalize_v3_v3(), and R.

Referenced by init_TransDataContainers(), mat3_to_compatible_eul(), mat3_to_compatible_eulO(), mat3_to_eul(), mat3_to_eulO(), mat3_to_quat(), mat4_to_loc_quat(), and splineik_evaluate_bone().

normalize_m3_m3_ex()

void normalize_m3_m3_ex	(	float	R[3][3],
		const float	M[3][3],
		float	r_scale[3]
	)

Definition at line 1927 of file math_matrix.c.

References M, normalize_v3_v3(), and R.

normalize_m4()

void normalize_m4

(

float

R[4][4]

)

Definition at line 1952 of file math_matrix.c.

References len, normalize_v3(), and R.

Referenced by BKE_bone_parent_transform_calc_from_matrices(), BKE_camera_multiview_model_matrix(), BKE_constraint_mat_convertspace(), BKE_pchan_bbone_segments_cache_compute(), BKE_pchan_bbone_spline_params_get(), BLI_uvproject_camera_info(), calc_brush_local_mat(), cloth_brush_apply_brush_foces(), contarget_get_mesh_mat(), convert_pose(), do_clay_strips_brush(), do_clay_thumb_brush(), do_pinch_brush(), ED_view3d_draw_offscreen_imbuf_simple(), execute_posetree(), hair_create_input_mesh(), Matrix_normalize(), proj_paint_state_viewport_init(), SCULPT_do_multiplane_scrape_brush(), and SCULPT_do_paint_brush().

normalize_m4_ex()

void normalize_m4_ex	(	float	R[4][4],
		float	r_scale[3]
	)

Definition at line 1942 of file math_matrix.c.

References normalize_v3(), and R.

Referenced by BKE_bone_parent_transform_calc_from_matrices(), and stretchto_evaluate().

normalize_m4_m4()

void normalize_m4_m4	(	float	R[4][4],
		const float	M[4][4]
	)

Definition at line 1972 of file math_matrix.c.

References copy_v4_v4(), len, and normalize_v3_v3().

Referenced by button2d_draw_intern(), camera_stereo3d_model_matrix(), ED_view3d_camera_lock_sync(), EEVEE_lightprobes_planar_data_from_object(), gpencil_light_pool_populate(), move3d_draw_intern(), obmat_to_viewmat(), OVERLAY_camera_cache_populate(), OVERLAY_lightprobe_cache_populate(), and WIDGETGROUP_light_target_draw_prepare().

normalize_m4_m4_ex()

void normalize_m4_m4_ex	(	float	R[4][4],
		const float	M[4][4],
		float	r_scale[3]
	)

Definition at line 1963 of file math_matrix.c.

References copy_v4_v4(), and normalize_v3_v3().

Referenced by eevee_light_setup().

orthogonalize_m3()

void orthogonalize_m3	(	float	R[3][3],
		int	axis
	)

Make an orthonormal matrix around the selected axis of the given matrix.

Parameters

axis	Axis to build the orthonormal basis around.

Definition at line 1425 of file math_matrix.c.

References BLI_assert, cross_v3_v3v3(), dot_v3v3(), mat3_to_size(), mul_v3_fl(), normalize_v3(), R, and size().

Referenced by idp_poject_surface_normal(), and view3d_interactive_add_calc_plane().

orthogonalize_m3_stable()

void orthogonalize_m3_stable	(	float	R[3][3],
		int	axis,
		bool	normalize
	)

Make an orthonormal matrix around the selected axis of the given matrix, in a way that is symmetric and stable to variations in the input, and preserving the value of the determinant, i.e. the overall volume change.

Parameters

axis	Axis to build the orthonormal basis around.
normalize	Normalize the matrix instead of preserving volume.

Definition at line 1659 of file math_matrix.c.

References BLI_assert, normalize(), orthogonalize_stable(), and R.

orthogonalize_m3_zero_axes()

bool orthogonalize_m3_zero_axes	(	float	R[3][3],
		const float	unit_length
	)

Definition at line 1775 of file math_matrix.c.

References orthogonalize_m3_zero_axes_impl(), and UNPACK3.

Referenced by invert_m3_m3_safe_ortho(), and ObjectToTransData().

orthogonalize_m4()

void orthogonalize_m4	(	float	R[4][4],
		int	axis
	)

Make an orthonormal matrix around the selected axis of the given matrix.

Parameters

axis	Axis to build the orthonormal basis around.

Definition at line 1514 of file math_matrix.c.

References BLI_assert, cross_v3_v3v3(), dot_v3v3(), mat4_to_size(), mul_v3_fl(), normalize_v3(), R, and size().

Referenced by gpencil_object_cache_add(), mat4_to_dquat(), and shadow_cascade_random_matrix_set().

orthogonalize_m4_stable()

void orthogonalize_m4_stable	(	float	R[4][4],
		int	axis,
		bool	normalize
	)

Make an orthonormal matrix around the selected axis of the given matrix, in a way that is symmetric and stable to variations in the input, and preserving the value of the determinant, i.e. the overall volume change.

Parameters

axis	Axis to build the orthonormal basis around.
normalize	Normalize the matrix instead of preserving volume.

Definition at line 1685 of file math_matrix.c.

References BLI_assert, normalize(), orthogonalize_stable(), and R.

Referenced by armdef_accumulate_matrix(), BKE_bone_parent_transform_calc_from_matrices(), rotlike_evaluate(), and stretchto_evaluate().

orthogonalize_m4_zero_axes()

bool orthogonalize_m4_zero_axes	(	float	R[4][4],
		const float	unit_length
	)

Definition at line 1779 of file math_matrix.c.

References orthogonalize_m3_zero_axes_impl(), and UNPACK3.

Referenced by invert_m4_m4_safe_ortho().

print_m3()

void print_m3	(	const char *	str,
		const float	M[3][3]
	)

Definition at line 2744 of file math_matrix.c.

References str.

print_m4()

void print_m4	(	const char *	str,
		const float	M[4][4]
	)

Definition at line 2753 of file math_matrix.c.

References str.

Referenced by armature_finalize_restpose().

pseudoinverse_m3_m3()

void pseudoinverse_m3_m3	(	float	Ainv[3][3],
		const float	A[3][3],
		float	epsilon
	)

Definition at line 3228 of file math_matrix.c.

References A, copy_m3_m4(), copy_m4_m3(), blender::robust_pred::epsilon, invert_m3_m3(), and pseudoinverse_m4_m4().

Referenced by add_pose_transdata(), createTransArmatureVerts(), createTransCursor_image(), createTransCursor_view3d(), createTransCurveVerts(), createTransEdge(), createTransEditVerts(), createTransGPencil_curves(), createTransLatticeVerts(), createTransMBallVerts(), createTransMeshSkin(), and createTransTexspace().

pseudoinverse_m4_m4()

void pseudoinverse_m4_m4	(	float	Ainv[4][4],
		const float	A[4][4],
		float	epsilon
	)

Definition at line 3206 of file math_matrix.c.

References A, blender::robust_pred::epsilon, mul_m4_series, svd_m4(), transpose_m4(), transpose_m4_m4(), V, and zero_m4().

Referenced by pseudoinverse_m3_m3().

rescale_m3()

void rescale_m3	(	float	mat[3][3],
		const float	scale[2]
	)

Definition at line 2389 of file math_matrix.c.

References mul_v3_fl().

Referenced by loc_rot_size_to_mat3().

rescale_m4()

void rescale_m4	(	float	mat[4][4],
		const float	scale[3]
	)

Scale a matrix in-place.

Definition at line 2396 of file math_matrix.c.

References mul_v3_fl().

Referenced by BKE_bone_parent_transform_apply(), BKE_bone_parent_transform_calc_from_matrices(), draw_axes(), draw_bone_update_disp_matrix_custom(), draw_bone_update_disp_matrix_default(), gpencil_depth_plane(), gpencil_object_cache_add(), gpencil_uv_transform_get(), gpencil_vfx_shadow(), loc_rot_size_to_mat4(), make_prim_init(), modifyMesh(), OVERLAY_gpencil_cache_init(), OVERLAY_light_cache_populate(), blender::io::gpencil::GpencilImporterSVG::read(), and stretchto_evaluate().

rotate_m3()

void rotate_m3	(	float	mat[3][3],
		const float	angle
	)

Definition at line 2332 of file math_matrix.c.

References angle(), col, cosf, and sinf.

Referenced by loc_rot_size_to_mat3().

rotate_m4()

void rotate_m4	(	float	mat[4][4],
		const char	axis,
		const float	angle
	)

Rotate a matrix in-place.

Note

To create a new rotation matrix see: axis_angle_to_mat4_single, axis_angle_to_mat3_single, angle_to_mat2 (axis & angle args are compatible).

Definition at line 2352 of file math_matrix.c.

References angle(), BLI_assert, col, cosf, and sinf.

Referenced by cursor_draw_point_with_symmetry(), EEVEE_random_rotation_m4(), gizmo_cage2d_modal(), gpencil_uv_transform_get(), gpencil_vfx_shadow(), GPU_matrix_rotate_2d(), GPU_matrix_rotate_axis(), modifyMesh(), polarview_m4(), blender::io::gpencil::GpencilImporterSVG::read(), SCULPT_cache_calc_brushdata_symm(), and stabilization_data_to_mat4().

scale_m3_fl()

void scale_m3_fl	(	float	R[3][3],
		float	scale
	)

Definition at line 2301 of file math_matrix.c.

References R.

Referenced by cloth_filter_apply_forces_task_cb(), deformMatrices(), deformMatricesEM(), and mesh_filter_task_cb().

scale_m4_fl()

void scale_m4_fl	(	float	R[4][4],
		float	scale
	)

Definition at line 2309 of file math_matrix.c.

References R.

Referenced by BKE_object_obdata_size_init(), BKE_pose_minmax(), calc_brush_local_mat(), do_clay_strips_brush(), do_clay_thumb_brush(), blender::io::alembic::ABCTransformWriter::do_write(), draw_bone_degrees_of_freedom(), DRW_debug_sphere(), drw_shgroup_bone_envelope(), EEVEE_lightprobes_cube_data_from_object(), followpath_get_tarmat(), GPU_matrix_scale_1f(), modifyVolume(), ob_parcurve(), OVERLAY_bounds(), blender::io::alembic::AbcObjectReader::read_matrix(), reconstructed_camera_scale_set(), SCULPT_do_paint_brush(), and voxel_size_edit_invoke().

shuffle_m4()

void shuffle_m4	(	float	R[4][4],
		const int	index[4]
	)

Definition at line 250 of file math_matrix.c.

References R, and zero_m4().

Referenced by modifyMesh().

size_to_mat3()

void size_to_mat3	(	float	R[3][3],
		const float	size[3]
	)

Definition at line 2105 of file math_matrix.c.

References R, and size().

Referenced by applyBoneSize(), applyResize(), applySkinResize(), BKE_object_scale_to_mat3(), BKE_pchan_to_mat4(), blend_m3_m3m3(), ElementBoneSize(), loc_eul_size_to_mat4(), loc_eulO_size_to_mat4(), loc_quat_size_to_mat4(), and mat3_polar_decompose().

size_to_mat4()

void size_to_mat4	(	float	R[4][4],
		const float	size[3]
	)

Definition at line 2118 of file math_matrix.c.

References R, and size().

Referenced by BKE_pchan_bbone_spline_compute(), BKE_texture_mapping_init(), UnitConverter::calculate_scale(), camera_stereo3d_model_matrix(), constraintSizeLim(), blender::io::alembic::copy_m44_axis_swap(), TransformReader::dae_scale_to_mat4(), draw_bone_update_disp_matrix_bbone(), ED_view3d_cameracontrol_update(), eevee_volume_object_grids_init(), AnimationImporter::evaluate_animation(), make_duplis_particle_system(), OVERLAY_bounds(), OVERLAY_texture_space(), sculpt_transform_matrices_init(), and stabilization_data_to_mat4().

sub_m3_m3m3()

void sub_m3_m3m3	(	float	R[3][3],
		const float	A[3][3],
		const float	B[3][3]
	)

Definition at line 1080 of file math_matrix.c.

References A, B, and R.

Referenced by apply_spring(), dfdx_spring(), SIM_hair_volume_vertex_grid_forces(), SIM_mass_spring_add_constraint_ndof1(), SIM_mass_spring_add_constraint_ndof2(), SIM_mass_spring_force_spring_bending_hair(), splineik_evaluate_bone(), and spring_grad_dir().

sub_m4_m4m4()

void sub_m4_m4m4	(	float	R[4][4],
		const float	A[4][4],
		const float	B[4][4]
	)

Definition at line 1091 of file math_matrix.c.

References A, B, and R.

svd_m4()

void svd_m4	(	float	U[4][4],
		float	s[4],
		float	V[4][4],
		float	A[4][4]
	)

Definition at line 2773 of file math_matrix.c.

References A, Freestyle::c, copy_m4_m4(), e, eps, fabsf, hypotf, max_ff(), max_ii(), min_ii(), powf, sqrtf, t, V, zero_m4(), and zero_v4().

Referenced by pseudoinverse_m4_m4().

swap_m3m3()

void swap_m3m3	(	float	m1[3][3],
		float	m2[3][3]
	)

Definition at line 222 of file math_matrix.c.

References t.

swap_m4m4()

void swap_m4m4	(	float	m1[4][4],
		float	m2[4][4]
	)

Definition at line 236 of file math_matrix.c.

References t.

Referenced by vpaint_stroke_update_step(), and wpaint_stroke_update_step().

transform_pivot_set_m3()

void transform_pivot_set_m3	(	float	mat[3][3],
		const float	pivot[2]
	)

Definition at line 2425 of file math_matrix.c.

References copy_v2_v2(), mul_m3_m3m3(), negate_v2(), and unit_m3().

Referenced by sequencer_image_crop_transform_do_thread().

transform_pivot_set_m4()

void transform_pivot_set_m4	(	float	mat[4][4],
		const float	pivot[3]
	)

Scale or rotate around a pivot point, a convenience function to avoid having to do inline.

Since its common to make a scale/rotation matrix that pivots around an arbitrary point.

Typical use case is to make 3x3 matrix, copy to 4x4, then pass to this function.

Definition at line 2411 of file math_matrix.c.

References copy_v3_v3(), mul_m4_m4m4(), negate_v3(), and unit_m4().

Referenced by bmo_rotate_exec(), ED_view3d_win_to_3d_on_plane_with_fallback(), gizmo_cage2d_modal(), and gizmo_cage3d_modal().

translate_m3()

void translate_m3	(	float	mat[3][3],
		float	tx,
		float	ty
	)

Definition at line 2319 of file math_matrix.c.

Referenced by loc_rot_size_to_mat3().

translate_m4()

void translate_m4	(	float	mat[4][4],
		float	tx,
		float	ty,
		float	tz
	)

Definition at line 2325 of file math_matrix.c.

Referenced by camera_stereo3d_model_matrix(), camera_view3d_reconstruction(), draw_axes(), draw_bone_degrees_of_freedom(), draw_bone_update_disp_matrix_custom(), draw_bone_update_disp_matrix_default(), DRW_debug_sphere(), dyntopo_detail_size_edit_invoke(), followtrack_evaluate_using_3d_position_camera(), followtrack_evaluate_using_3d_position_object(), gpencil_uv_transform_get(), gpencil_vfx_shadow(), GPU_matrix_translate_3f(), lookat_m4(), modifyMesh(), OVERLAY_gpencil_cache_init(), OVERLAY_volume_extra(), paint_cursor_drawing_setup_cursor_space(), polarview_m4(), SCULPT_cloth_simulation_limits_draw(), SCULPT_do_pose_brush(), SCULPT_layer_brush_height_preview_draw(), sculpt_transform_matrices_init(), view3d_viewmatrix_set(), and wm_xr_pose_to_viewmat().

transpose_m3()

void transpose_m3

(

float

R[3][3]

)

Definition at line 1312 of file math_matrix.c.

References R, and t.

Referenced by axis_dominant_v3_to_m3(), axis_dominant_v3_to_m3_negate(), BCMatrix::BCMatrix(), contarget_get_mesh_mat(), getTransformOrientation_ex(), GPU_matrix_normal_get(), Matrix_transpose(), single_axis_convert(), TEST(), vcloud_estimate_transform_v3(), and world_to_root_m3().

transpose_m3_m3()

void transpose_m3_m3	(	float	R[3][3],
		const float	M[3][3]
	)

Definition at line 1327 of file math_matrix.c.

References BLI_assert, M, and R.

Referenced by calc_deltas(), execute_posetree(), is_uniform_scaled_m3(), and mat3_polar_decompose().

transpose_m3_m4()

void transpose_m3_m4	(	float	R[3][3],
		const float	M[4][4]
	)

Definition at line 1343 of file math_matrix.c.

References BLI_assert, M, and R.

Referenced by psys_get_dupli_path_transform(), raycastEditMesh(), and raycastMesh().

transpose_m4()

void transpose_m4

(

float

R[4][4]

)

Definition at line 1358 of file math_matrix.c.

References R, and t.

Referenced by BKE_mesh_mirror_apply_mirror_on_axis_for_modifier(), BKE_texture_mapping_init(), button2d_draw_intern(), camera_frame_fit_data_init(), gpencil_depth_plane(), gpencil_object_cache_add(), Freestyle::BlenderFileLoader::insertShapeNode(), lineart_geometry_object_load(), lineart_main_get_view_vector(), Matrix_transpose(), modifyMesh(), move3d_draw_intern(), pseudoinverse_m4_m4(), psys_vec_rot_to_face(), TEST(), and BCMatrix::transpose().

transpose_m4_m4()

void transpose_m4_m4	(	float	R[4][4],
		const float	M[4][4]
	)

Definition at line 1384 of file math_matrix.c.

References BLI_assert, M, and R.

Referenced by dist_squared_to_projected_aabb_precalc(), DRW_culling_min_max_test(), drw_sculpt_get_frustum_planes(), UnitConverter::mat4_to_dae(), pseudoinverse_m4_m4(), snap_mesh_polygon(), snap_object_center(), snapArmature(), snapCurve(), snapEditMesh(), snapMesh(), and blender::float4x4::transposed().

unit_m2()

void unit_m2

(

float

m[2][2]

)

Definition at line 51 of file math_matrix.c.

Referenced by matrix_identity_internal(), and matrix_invert_safe_internal().

unit_m3()

void unit_m3

(

float

m[3][3]

)

Definition at line 58 of file math_matrix.c.

Referenced by apply_objects_internal(), applyShear(), applyTranslationValue(), armature_bone_primitive_add_exec(), axis_angle_to_mat3(), BKE_bone_parent_transform_calc_from_matrices(), BKE_crazyspace_build_sculpt(), BKE_crazyspace_get_first_deform_matrices_editbmesh(), BKE_curve_deform_co(), BKE_mask_point_parent_matrix_get(), bm_vert_pair_to_matrix(), bmo_scale_exec(), BMO_slot_mat3_get(), cloth_filter_apply_forces_task_cb(), convert_tree(), blender::io::alembic::copy_m44_axis_swap(), crazyspace_init_verts_and_matrices(), blender::io::alembic::create_swapped_rotation_matrix(), createTransCursor_image(), createTransCursor_view3d(), createTransGPencil_strokes(), createTransNlaData(), createTransParticleVerts(), deformStroke(), deformVerts_do(), ed_editnurb_spin(), ED_getTransformOrientationMatrix(), ED_transform_calc_gizmo_stats(), ED_transform_calc_orientation_from_type_ex(), edbm_dupli_extrude_cursor_invoke(), ElementMirror(), execute_posetree(), gizmo_mesh_extrude_refresh(), gizmo_mesh_spin_redo_setup(), initTransform(), initTransInfo(), invert_m3_m3_safe_ortho(), loc_rot_size_to_mat3(), locktrack_evaluate(), markerToTransCurveDataInit(), markerToTransDataInit(), MaskHandleToTransData(), MaskPointToTransData(), mat3_from_axis_conversion(), mat3_from_axis_conversion_single(), matrix_identity_internal(), matrix_invert_safe_internal(), mesh_calc_eigen_matrix(), mesh_filter_task_cb(), meshcache_do(), NodeToTransData(), ObjectToTransData(), PaintCurveConvertHandle(), PaintCurvePointToTransData(), planeMarkerToTransDataInit(), projection_matrix_calc(), restoreTransObjects(), rotation_between_vecs_to_mat3(), SeqToTransData(), SIM_mass_spring_clear_constraints(), SIM_mass_spring_set_rest_transform(), SIM_mass_spring_set_vertex_mass(), snap_curs_to_center_exec(), softbody_reset(), spring_hairbend_estimate_dfdv(), spring_hairbend_estimate_dfdx(), blender::io::alembic::TEST(), blender::bke::tests::TEST(), TEST(), to_scene_linear_matrix(), transform_convert_mesh_islands_calc(), transform_data_ext_rotate(), transform_orientation_matrix_get(), transform_orientations_create_from_axis(), transform_pivot_set_m3(), UVsToTransData(), vcloud_estimate_transform_v3(), vec_roll_to_mat3_normalized(), vectomat(), and view3d_all_exec().

unit_m4()

static void unit_m4

(

float

m[4][4]

)

Definition at line 1140 of file rct.c.

Referenced by actcon_get_tarmat(), action_flip_pchan(), AnimationImporter::add_bone_animation_sampled(), add_hook_object(), annotation_session_initdata(), AnimationImporter::apply_matrix_curves(), applyarmature_process_selected_recursive(), armature_coords_and_quats_apply(), armdef_get_tarmat(), arrayModifier_doArray(), axis_angle_to_mat4(), BKE_armature_loc_pose_to_bone(), BKE_armature_loc_world_to_pose(), BKE_armature_mat_pose_to_bone_ex(), BKE_bone_parent_transform_calc_from_matrices(), BKE_bone_parent_transform_clear(), BKE_constraint_custom_object_space_get(), BKE_constraint_target_matrix_get(), BKE_constraint_targets_for_solving_get(), BKE_constraints_make_evalob(), BKE_gpencil_instance_modifier_instance_tfm(), BKE_gpencil_layer_transform_matrix_get(), BKE_gpencil_update_layer_transforms(), BKE_lattice_resize(), BKE_mesh_mirror_apply_mirror_on_axis_for_modifier(), BKE_object_get_parent_matrix(), BKE_object_obdata_size_init(), BKE_object_workob_calc_parent(), BKE_pose_channel_verify(), BKE_pose_where_is_bone(), BKE_texture_mapping_default(), BKE_texture_mapping_init(), BKE_tracking_camera_get_reconstructed_interpolate(), BKE_volume_grid_transform_matrix(), blo_do_versions_260(), blo_do_versions_270(), blo_do_versions_pre250(), BMO_slot_mat4_get(), bmo_translate_exec(), brush_puff(), C_Matrix_Translation(), AnimationImporter::calc_joint_parent_mat_rest(), calcEdgeSlide_even(), calcEdgeSlide_mval_range(), camera_stereo3d_model_matrix(), childof_clear_inverse_exec(), childof_new_data(), clampto_evaluate(), clampto_get_tarmat(), clip_draw_main(), constraintTransLim(), convert_pose(), convert_tree(), blender::io::alembic::copy_m44_axis_swap(), createTransParticleVerts(), createVertSlideVerts(), cursor_draw_point_with_symmetry(), TransformReader::dae_translate_to_mat4(), damptrack_do_transform(), default_get_tarmat(), default_get_tarmat_full_bbone(), draw_bone_degrees_of_freedom(), draw_unit_state_create(), drawPropCircle(), DRW_debug_modelmat_reset(), DRW_hair_duplimat_get(), drw_viewport_var_init(), ED_armature_join_objects_exec(), ED_object_new_primitive_matrix(), ED_object_parent(), ED_object_parent_clear(), ED_object_parent_set(), ED_transform_calc_gizmo_stats(), edit_armature_coords_and_quats_apply(), eevee_lightbake_cache_create(), EEVEE_lightprobes_cube_data_from_object(), EEVEE_lookdev_draw(), AnimationImporter::evaluate_transform_at_frame(), execute_posetree(), followpath_get_tarmat(), foreach_mouse_hit_key_iter(), FRS_do_stroke_rendering(), blender::nodes::geo_node_collection_info_exec(), blender::nodes::geo_node_object_info_exec(), blender::bke::geometry_set_collect_recursive_collection_instance(), blender::bke::geometry_set_gather_instances(), TransformReader::get_node_mat(), gizmo_axis_draw(), gizmo_cage2d_modal(), gizmo_cage3d_modal(), gizmo_calc_matrix_final_no_offset(), gizmo_empty_image_prop_matrix_get(), gizmo_render_border_prop_matrix_get(), gizmo_window_project_2d(), gizmo_window_project_3d(), gpencil_depth_plane(), gpencil_object_cache_add(), gpencil_point_conversion_init(), gpencil_sculpt_brush_init(), gpencil_session_initdata(), gpencil_uv_transform_get(), gpencil_vfx_shadow(), GPU_matrix_identity_projection_set(), GPU_matrix_identity_set(), GPU_matrix_reset(), GPU_matrix_translate_2f(), GPU_matrix_translate_3f(), GPU_matrix_unproject_precalc(), blender::float4x4::identity(), image_cache_image_add(), IMAGE_cache_init(), image_camera_background_matrix_get(), init_context(), init_meta(), invert_m4_m4_safe(), invert_m4_m4_safe_ortho(), kinematic_get_tarmat(), lineart_gpencil_generate(), loc_eul_size_to_mat4(), loc_eulO_size_to_mat4(), loc_quat_size_to_mat4(), lookat_m4(), make_duplis_collection(), make_duplis_instances_component(), matrix_identity_internal(), matrix_invert_safe_internal(), Matrix_resize_4x4(), mesh_calc_eigen_matrix(), metaball_coords_and_quats_apply(), minmax_evaluate(), modifyMesh(), node_gizmo_calc_matrix_space(), node_gizmo_calc_matrix_space_with_image_dims(), ob_parbone(), ob_parcurve(), ob_parvert3(), object_convert_exec(), object_solver_inverted_matrix(), object_warp_verts_exec(), objectsolver_clear_inverse_exec(), objectsolver_new_data(), orthographic_m4(), OVERLAY_edit_uv_cache_init(), OVERLAY_grid_cache_init(), OVERLAY_relationship_lines(), OVERLAY_texture_space(), parent_noinv_set_exec(), particle_system_minmax(), PE_lasso_select(), PE_minmax(), polarview_m4(), pose_mirror_info_init(), pose_transform_mirror_update(), blender::io::gpencil::GpencilIO::prepare_camera_params(), psys_face_mat(), psys_get_dupli_path_transform(), psys_get_particle_on_path(), psys_get_particle_state(), psys_mat_hair_to_object(), pycon_get_tarmat(), blender::io::gpencil::GpencilImporterSVG::read(), blender::io::alembic::AbcObjectReader::read_matrix(), reconstruct_retrieve_libmv_tracks(), render_cubemap(), SCULPT_brush_test_init(), SCULPT_cache_calc_brushdata_symm(), SCULPT_cloth_simulation_limits_draw(), SCULPT_do_pose_brush(), sculpt_init_mirror_clipping(), SCULPT_layer_brush_height_preview_draw(), sculpt_transform_matrices_init(), set_axis(), set_plane_exec(), setTransformViewMatrices(), shrinkwrap_get_tarmat(), spin_exec(), splineik_evaluate_init(), splineik_get_tarmat(), stabilization_data_to_mat4(), TEST(), tool_generic_create_gizmo(), transform_pivot_set_m4(), AnimationImporter::translate_animation_OLD(), ui_search_menu_create_tooltip(), UI_view2d_view_to_region_m4(), UnitConverter::UnitConverter(), update_mirror_object(), updateDuplicateActionConstraintSettings(), updateDuplicateLocRotConstraintSettings(), uv_map_rotation_matrix_ex(), uv_map_transform(), uvprojectModifier_do(), v2_quad_corners_to_mat4(), vfont_to_curve(), voxel_size_edit_invoke(), warpModifier_do(), WIDGETGROUP_camera_refresh(), WIDGETGROUP_camera_view_draw_prepare(), WIDGETGROUP_light_target_draw_prepare(), WIDGETGROUP_xform_cage_refresh(), wireframe_hair_cache_populate(), WM_gizmo_calc_matrix_final_no_offset(), wm_gizmo_create(), WM_xr_session_state_viewer_pose_matrix_info_get(), workbench_shadow_update(), and workbench_studiolight_data_update().

unit_m4_db()

void unit_m4_db

(

double

m[4][4]

)

Definition at line 75 of file math_matrix.c.

Referenced by lineart_main_load_geometries(), lineart_matrix_ortho_44d(), and lineart_matrix_perspective_44d().

zero_m2()

void zero_m2

(

float

m[2][2]

)

Definition at line 36 of file math_matrix.c.

zero_m3()

void zero_m3

(

float

m[3][3]

)

Definition at line 41 of file math_matrix.c.

Referenced by armature_vert_task_with_dvert(), cross_identity_v3(), end_node_frames(), flush_pixel(), hair_grid_interpolate(), SIM_hair_volume_vertex_grid_forces(), SIM_mass_spring_add_constraint_ndof0(), SIM_mass_spring_force_spring_bending(), SIM_mass_spring_force_spring_bending_hair(), spring_grad_dir(), spring_hairbend_estimate_dfdv(), spring_hairbend_estimate_dfdx(), TEST(), transform_orientations_create_from_axis(), and vcloud_estimate_transform_v3().

zero_m4()

void zero_m4

(

float

m[4][4]

)

Definition at line 46 of file math_matrix.c.

Referenced by armdef_evaluate(), BKE_texture_mapping_init(), BMO_slot_mat_set(), gizmo_mesh_placement_modal_from_setup(), pseudoinverse_m4_m4(), shuffle_m4(), svd_m4(), and uv_map_rotation_matrix_ex().