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

Classes
struct	SpaceTransform

Functions
Init
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_m3d_m3 (double m1[3][3], const float 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])

Arithmetic
#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__)

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], float f)

void	madd_m4_m4m4fl (float R[4][4], const float A[4][4], const float B[4][4], 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_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_m4db_m4db_m4fl (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 mat[4][4], const float vec[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 mat[4][4], const float vec[3])

void	mul_v2_m2v2 (float r[2], const float mat[2][2], const float vec[2])

void	mul_m2_v2 (const float mat[2][2], float vec[2])

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

void	mul_v3_mat3_m4v3 (float r[3], const float mat[4][4], const float vec[3])

void	mul_v3_mat3_m4v3_db (double r[3], const double mat[4][4], const double vec[3])

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

void	mul_v4_m4v4 (float r[4], const float mat[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 mat[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 mat[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_m4_m4m4_split_channels (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 mat[3][3], float epsilon)

bool	invert_m3_m3_ex (float inverse[3][3], const float mat[3][3], float epsilon)

bool	invert_m3 (float mat[3][3])

bool	invert_m2_m2 (float inverse[2][2], const float mat[2][2])

bool	invert_m3_m3 (float inverse[3][3], const float mat[3][3])

bool	invert_m4 (float mat[4][4])

bool	invert_m4_m4 (float inverse[4][4], const float mat[4][4])

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

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

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

Linear Algebra
#define	PSEUDOINVERSE_EPSILON 1e-8f

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 rmat[4][4], const float mat[4][4], float r_scale[3]) ATTR_NONNULL()

void	normalize_m4_m4 (float rmat[4][4], const float mat[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 m[3][3], float unit_length)

bool	orthogonalize_m4_zero_axes (float m[4][4], float unit_length)

bool	is_orthogonal_m3 (const float m[3][3])

bool	is_orthogonal_m4 (const float m[4][4])

bool	is_orthonormal_m3 (const float m[3][3])

bool	is_orthonormal_m4 (const float m[4][4])

bool	is_uniform_scaled_m3 (const float m[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])

double	determinant_m3_array_db (const double m[3][3])

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 inverse[4][4], const float mat[4][4], float epsilon)

void	pseudoinverse_m3_m3 (float inverse[3][3], const float mat[3][3], float epsilon)

bool	has_zero_axis_m4 (const float matrix[4][4])

void	zero_axis_bias_m4 (float mat[4][4])

void	invert_m4_m4_safe (float inverse[4][4], const float mat[4][4])

void	invert_m3_m3_safe_ortho (float inverse[3][3], const float mat[3][3])

void	invert_m4_m4_safe_ortho (float inverse[4][4], const float mat[4][4])

Transformations
#define	BLI_SPACE_TRANSFORM_SETUP(data, local, target)

typedef struct SpaceTransform	SpaceTransform

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

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

void	scale_m4_v2 (float R[4][4], const float scale[2])

float	mat3_to_volume_scale (const float mat[3][3])

float	mat4_to_volume_scale (const float mat[4][4])

float	mat3_to_scale (const float mat[3][3])

float	mat4_to_scale (const float mat[4][4])

float	mat4_to_xy_scale (const float mat[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_2d (float size[2], const float M[3][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])

float	mat3_to_size_max_axis (const float M[3][3])

float	mat4_to_size_max_axis (const float M[4][4])

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

void	translate_m4 (float mat[4][4], float Tx, float Ty, float Tz)

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

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

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_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], 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[3], float angle, const float size[3])

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

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

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

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

Other
#define	print_m3_id(M) print_m3(STRINGIFY(M), M)

#define	print_m4_id(M) print_m4(STRINGIFY(M), M)

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 )

Value:

BLI_space_transform_from_matrices( \

(data), (local)->object_to_world().ptr(), (target)->object_to_world().ptr())

BLI_space_transform_from_matrices

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

Definition math_matrix_c.cc:3203

ptr

PointerRNA * ptr

Definition wm_files.cc:4126

Definition at line 623 of file BLI_math_matrix.h.

Referenced by BKE_shrinkwrap_remesh_target_project(), blender::ed::object::data_transfer_exec(), modify_mesh(), modify_mesh(), shrinkwrap_calc_normal_projection(), shrinkwrapGpencilModifier_deform(), shrinkwrapModifier_deform(), shrinkwrapParams_deform(), and SimpleDeformModifier_do().

◆ mul_m3_series

#define mul_m3_series ( ... ) VA_NARGS_CALL_OVERLOAD(_va_mul_m3_series_, __VA_ARGS__)

Definition at line 182 of file BLI_math_matrix.h.

Referenced by add_pose_transdata(), apply_shear_value(), armature_vert_task_with_dvert(), BKE_mask_point_parent_matrix_get(), ElementRotation_ex(), mat3_polar_decompose(), TEST(), transdata_elem_shear(), and transform_convert_mesh_crazyspace_transdata_set().

◆ mul_m4_series

#define mul_m4_series ( ... ) VA_NARGS_CALL_OVERLOAD(_va_mul_m4_series_, __VA_ARGS__)

◆ print_m3_id

#define print_m3_id ( M ) print_m3(STRINGIFY(M), M)

Definition at line 636 of file BLI_math_matrix.h.

◆ print_m4_id

#define print_m4_id ( M ) print_m4(STRINGIFY(M), M)

Definition at line 637 of file BLI_math_matrix.h.

◆ PSEUDOINVERSE_EPSILON

#define PSEUDOINVERSE_EPSILON 1e-8f

Definition at line 353 of file BLI_math_matrix.h.

Referenced by add_pose_transdata(), createTransArmatureVerts(), createTransCursor_2D_impl(), createTransCursor_view3d(), createTransCurveVerts(), createTransEdge(), createTransEditVerts(), createTransGPencil_curves(), createTransLatticeVerts(), createTransMBallVerts(), createTransMeshSkin(), createTransMeshVertCData(), createTransTexspace(), curve_populate_trans_data_structs(), and matrix_invert_safe_internal().

Typedef Documentation

◆ SpaceTransform

typedef struct SpaceTransform SpaceTransform

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);

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 505 of file math_matrix_c.cc.

References mul_m3_m3m3().

◆ _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 509 of file math_matrix_c.cc.

References mul_m3_m3m3().

◆ _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 518 of file math_matrix_c.cc.

References mul_m3_m3m3().

◆ _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 530 of file math_matrix_c.cc.

References mul_m3_m3m3().

◆ _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 544 of file math_matrix_c.cc.

References mul_m3_m3m3().

◆ _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 560 of file math_matrix_c.cc.

References mul_m3_m3m3().

◆ _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 578 of file math_matrix_c.cc.

References mul_m3_m3m3().

◆ _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 605 of file math_matrix_c.cc.

References mul_m4_m4m4().

◆ _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 609 of file math_matrix_c.cc.

References mul_m4_m4m4().

◆ _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 618 of file math_matrix_c.cc.

References mul_m4_m4m4().

◆ _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 630 of file math_matrix_c.cc.

References mul_m4_m4m4().

◆ _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 644 of file math_matrix_c.cc.

References mul_m4_m4m4().

◆ _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 660 of file math_matrix_c.cc.

References mul_m4_m4m4().

◆ _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 678 of file math_matrix_c.cc.

References mul_m4_m4m4().

◆ add_m3_m3m3()

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

Definition at line 1022 of file math_matrix_c.cc.

References 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 1033 of file math_matrix_c.cc.

References 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 1968 of file math_matrix_c.cc.

References M, and R.

Referenced by adjoint_matrix_n(), and invert_m2_m2().

◆ adjoint_m3_m3()

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

Definition at line 1981 of file math_matrix_c.cc.

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 1997 of file math_matrix_c.cc.

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],
		float	srcweight )

Definition at line 2379 of file math_matrix_c.cc.

References interp_qt_qtqt(), interp_v3_v3v3(), mat3_normalized_to_quat_fast(), 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],
		float	srcweight )

Definition at line 2405 of file math_matrix_c.cc.

References interp_qt_qtqt(), interp_v3_v3v3(), loc_quat_size_to_mat4(), mat3_normalized_to_quat_fast(), 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_faces_from_mesh(), BKE_mesh_remap_calc_loops_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(), simple_helper(), 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_faces_from_mesh(), BKE_mesh_remap_calc_loops_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	(	struct SpaceTransform *	data,
		const float	local[4][4],
		const float	target[4][4] )

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 3203 of file math_matrix_c.cc.

References 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	(	struct 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 3213 of file math_matrix_c.cc.

References 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 simple_helper().

◆ 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 1415 of file math_matrix_c.cc.

References compare_v4v4().

Referenced by blender::io::usd::USDTransformWriter::do_write(), SELECTID_Context::is_dirty(), blender::eevee::operator==(), and snap_object_context_runtime_init().

◆ copy_m2_m2()

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

Definition at line 73 of file math_matrix_c.cc.

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 133 of file math_matrix_c.cc.

◆ copy_m3_m3()

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

Definition at line 78 of file math_matrix_c.cc.

Referenced by add_pose_transdata(), addMatrixSpace(), apply_shear_value(), applyBoneSize(), applyResize(), applySkinResize(), applyTrackballValue(), applyTransformOrientation(), armature_vert_task_with_dvert(), 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(), connection_node_frames(), connection_node_mat(), copy_bone_transform(), createTransArmatureVerts(), createTransCursor_view3d(), createTransCurveVerts(), createTransEdge(), createTransGPencil_curves(), createTransGPencil_strokes(), createTransLatticeVerts(), createTransMBallVerts(), createTransSculpt(), deform_matrices(), deform_matrices_EM(), ED_transform_calc_gizmo_stats(), ED_transform_calc_orientation_from_type_ex(), 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_normalized_to_quat(), mat3_to_quat_legacy(), matrix_invert_safe_internal(), Matrix_rotate(), Matrix_to_euler(), mul_m3_m3m3(), mul_m3_m3m4(), mul_m3_m4m3(), mul_v3m3_dq(), ObjectToTransData(), 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(), transdata_elem_shear(), transdata_elem_skin_resize(), transform_convert_mesh_crazyspace_transdata_set(), transform_orientation_matrix_get(), transform_orientations_current_set(), transformViewUpdate(), v3d_cursor_snap_update(), vcloud_estimate_transform_v3(), VertsToTransData(), view3d_interactive_add_calc_snap(), 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 209 of file math_matrix_c.cc.

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 94 of file math_matrix_c.cc.

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_pchan_bbone_handles_compute(), BMD_mesh_intersection(), BMO_slot_mat3_get(), blender::ed::sculpt_paint::filter::cache_init(), camera_frame_fit_data_init(), contarget_get_mesh_mat(), convert_tree(), createObjectSpace(), createTransArmatureVerts(), createTransCurveVerts(), createTransEdge(), createTransEditVerts(), createTransGPencil_curves(), createTransGPencil_strokes(), createTransLatticeVerts(), createTransMBallVerts(), createTransMeshSkin(), createTransMeshVertCData(), createTransSculpt(), createTransTexspace(), createViewSpace(), curve_populate_trans_data_structs(), deformVerts_do(), do_version_bone_roll_256(), ED_armature_ebone_from_mat4(), ED_armature_edit_transform(), ed_editnurb_spin(), 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(), execute_posetree(), face_dupli(), flyApply(), getTransformOrientation_ex(), gimbal_axis_object(), gimbal_axis_pose(), gizmo_3d_draw_invoke(), 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(), blender::ed::sculpt_paint::gesture::init_common(), init_curve_deform(), init_TransDataContainers(), initFlyInfo(), initResize(), 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(), modify_mesh(), modify_mesh(), move3d_get_translate(), mul_v3m3_dq(), blender::ed::object::new_primitive_matrix(), nurb_bezt_direction_worldspace_get(), nurb_bpoint_direction_worldspace_get(), blender::ed::object::object_hook_recenter_exec(), blender::ed::object::object_origin_clear_exec(), blender::ed::object::object_origin_set_exec(), blender::ed::object::object_transform_axis_target_modal(), ObjectToTransData(), OVERLAY_gpencil_legacy_cache_init(), paintface_minmax(), pchan_deform_accumulate(), pivotcon_evaluate(), proj_paint_state_viewport_init(), pseudoinverse_m3_m3(), RotationBetween(), SCULPT_cursor_geometry_info_update(), blender::ed::sculpt_paint::sculpt_update_cache_invariants(), blender::io::ply::set_world_axes_transform(), similar_edge_select_exec(), similar_face_select_exec(), snap_curs_to_sel_ex(), snap_sel_to_grid_exec(), snap_selected_to_location(), solve_parenting(), blender::geometry::transform_curve_edit_hints(), transformViewUpdate(), blender::ed::sculpt_paint::vwpaint::update_cache_invariants(), uv_map_transform(), uv_select_similar_edge_exec(), uv_select_similar_face_exec(), uv_select_similar_island_exec(), uv_select_similar_vert_exec(), v3d_cursor_poject_surface_normal(), v3d_cursor_snap_update(), vfont_to_curve(), blender::ed::object::voxel_size_edit_invoke(), 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_m3d_m3()

void copy_m3d_m3	(	double	m1[3][3],
		const float	m2[3][3] )

Definition at line 171 of file math_matrix_c.cc.

Referenced by blender::bke::tests::EXPECT_M3_ORTHOGONAL().

◆ copy_m4_m2()

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

Definition at line 148 of file math_matrix_c.cc.

◆ copy_m4_m3()

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

Definition at line 109 of file math_matrix_c.cc.

Referenced by blender::ed::object::apply_objects_internal(), applyarmature_set_edit_position(), applyRotationMatrix(), applyTrackballMatrix(), 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(), BMO_slot_mat_set(), C_Matrix_LocRotScale(), camera_frame_fit_data_init(), blender::io::usd::convert_to_z_up(), blender::io::alembic::copy_m44_axis_swap(), blender::io::usd::USDTransformWriter::do_write(), ED_armature_ebone_to_mat4(), ED_armature_join_objects_exec(), ED_transform_calc_gizmo_stats(), ED_view3d_win_to_3d_on_plane_with_fallback(), eulO_to_mat4(), gizmo_3d_setup_default_matrix(), gizmo_axis_draw(), gizmo_mesh_placement_modal_from_setup(), GPU_shader_uniform_mat3_as_mat4(), blender::io::ply::importer_main(), blender::io::stl::importer_main(), 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(), modify_mesh(), blender::ed::object::new_primitive_matrix(), ob_parvert3(), blender::ed::object::object_apply_rotation(), pseudoinverse_m3_m3(), resize_transform_matrix_fn(), splineik_evaluate_bone(), transform_gizmo_3d_model_from_constraint_and_mode_set(), blender::io::obj::transform_object(), v3d_cursor_snap_draw_fn(), view3d_ob_drop_matrix_from_snap(), where_is_ik_bone(), WIDGETGROUP_tool_generic_refresh(), WIDGETGROUP_xform_cage_refresh(), and wm_xr_fly_compute_turn().

◆ copy_m4_m4()

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

Definition at line 84 of file math_matrix_c.cc.

Referenced by actcon_get_tarmat(), TransformWriter::add_joint_transform(), add_weighted_dq_dq(), annotation_paint_initstroke(), annotation_session_initdata(), AnimationImporter::apply_matrix_curves(), blender::ed::object::apply_objects_internal(), arrayModifier_doArray(), blender::ed::object::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_mat_convertspace(), BKE_constraint_target_matrix_get(), BKE_constraints_clear_evalob(), BKE_constraints_make_evalob(), BKE_constraints_solve(), BKE_gpencil_layer_transform_matrix_get(), BKE_gpencil_update_layer_transforms(), BKE_grease_pencil_copy_layer_parameters(), BKE_lattice_deform_data_create(), BKE_lattice_resize(), BKE_mesh_remap_find_best_match_from_mesh(), BKE_object_apply_parent_inverse(), BKE_object_eval_parent(), BKE_object_get_parent_matrix(), 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_pchan_minmax(), 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(), blender::ed::sculpt_paint::filter::cache_init(), blender::ed::sculpt_paint::calc_brush_local_mat(), AnimationImporter::calc_joint_parent_mat_rest(), camera_model_matrix(), camera_stereo3d_model_matrix(), camera_view3d_reconstruction(), camerasolver_evaluate(), childof_evaluate(), clampto_evaluate(), 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(), damptrack_do_transform(), blender::ed::object::data_xform_container_item_ensure(), deformVerts_do(), displaceModifier_do(), dist_squared_to_projected_aabb_precalc(), blender::io::usd::USDTransformWriter::do_write(), draw_axes(), draw_bone_degrees_of_freedom(), draw_bone_update_disp_matrix_default(), draw_view_matrix_state_update(), drawPropCircle(), drawSnapping(), drw_call_matrix_init(), DRW_draw_depth_object(), 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(), blender::ed::sculpt_paint::dyntopo::dyntopo_detail_size_edit_invoke(), ED_curve_add_nurbs_primitive(), ED_mesh_deform_bind_callback(), ED_transform_calc_gizmo_stats(), ED_transform_snap_object_project_ray_ex(), ED_transform_snap_object_project_view3d_ex(), 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(), 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_modal(), gizmo_move_matrix_basis_get(), gizmo_refresh_from_matrix(), GPENCIL_draw_object(), gpencil_light_pool_populate(), GPU_matrix_model_view_get(), GPU_matrix_projection_get(), GPU_matrix_projection_set(), GPU_matrix_push(), GPU_matrix_push_projection(), GPU_matrix_set(), blender::ed::greasepencil::grease_pencil_layer_parent_clear(), blender::ed::greasepencil::grease_pencil_layer_parent_set(), i_multmatrix(), blender::ed::object::ignore_parent_tx(), init_context(), init_meta(), init_TransDataContainers(), invert_m4(), invert_m4_m4_safe(), invert_m4_m4_safe_ortho(), kinematic_get_tarmat(), blender::bke::greasepencil::Layer::Layer(), blender::bke::greasepencil::convert::legacy_gpencil_to_grease_pencil(), blender::bke::greasepencil::convert::legacy_object_modifier_hook(), lineart_create_render_buffer_v3(), lineart_main_get_view_vector(), lineart_main_try_generate_shadow_v3(), SkinInfo::link_armature(), make_dmats(), make_duplis_font(), make_duplis_particle_system(), blender::ed::object::make_object_duplilist_real(), mat4_to_dquat(), matrix_from_obj_pchan(), matrix_invert_safe_internal(), Matrix_resize_4x4(), minmax_evaluate(), modify_mesh(), motion_path_cache(), mul_m4_m3m4(), mul_m4_m4m3(), mul_m4_m4m4(), ob_parbone(), ob_parcurve(), blender::ed::object::object_apply_location(), blender::ed::object::object_warp_verts_exec(), blender::ed::object::object_xform_array_m4(), blender::ed::object::object_xform_skip_child_container_item_ensure(), objectsolver_evaluate(), ObjectToTransData(), OVERLAY_forcefield(), OVERLAY_gpencil_legacy_cache_init(), OVERLAY_image_empty_cache_populate(), OVERLAY_light_cache_populate(), OVERLAY_lightprobe_cache_populate(), OVERLAY_relationship_lines(), pack_data_in_mat4(), pack_fl_in_mat4(), blender::ed::sculpt_paint::paint_cursor_drawing_setup_cursor_space(), pose_channel_flush_to_orig_if_needed(), proj_paint_state_viewport_init(), projmat_from_subregion(), RE_GetCameraWindow(), RE_GetWindowMatrixWithOverscan(), RE_SetCamera(), AnimationImporter::read_node_transform(), reconstruct_retrieve_libmv_tracks(), remap_hair_emitter(), rotlike_evaluate(), select_cache_init(), BCMatrix::set_transform(), BCMatrix::set_transform(), setTransformViewMatrices(), shrinkwrap_evaluate(), shrinkwrap_get_tarmat(), single_axis_convert(), SkinInfo::SkinInfo(), spin_exec(), svd_m4(), target_callback(), translike_evaluate(), blender::ed::sculpt_paint::gesture::update_affected_nodes_by_clip_planes(), ArmatureBoneDrawStrategyCustomShape::update_display_matrix(), blender::ed::view3d::geometry_nodes_gizmos::TransformGizmos::update_rotate_transform_and_target_property(), blender::ed::view3d::geometry_nodes_gizmos::TransformGizmos::update_scale_transform_and_target_property(), blender::ed::view3d::geometry_nodes_gizmos::DialGizmo::update_transform(), blender::ed::view3d::geometry_nodes_gizmos::LinearGizmo::update_transform(), blender::ed::view3d::geometry_nodes_gizmos::TransformGizmos::update_translate_transform_and_target_property(), uv_from_view_exec(), uv_map_rotation_matrix_ex(), uvprojectModifier_do(), v3d_cursor_snap_update(), v3d_object_dimension_buts(), view3d_camera_to_view_selected_impl(), blender::animrig::visualkey_get_values(), what_does_obaction(), where_is_ik_bone(), WIDGETGROUP_armature_spline_refresh(), WIDGETGROUP_empty_image_refresh(), WIDGETGROUP_light_area_refresh(), WIDGETGROUP_light_spot_refresh(), blender::ed::space_node::WIDGETGROUP_node_corner_pin_draw_prepare(), WIDGETGROUP_xform_cage_refresh(), wireframe_hair_cache_populate(), WM_gizmo_calc_matrix_final_params(), wm_xr_fly_compute_turn(), wm_xr_grab_compute(), and WM_xr_session_state_viewer_pose_matrix_info_get().

◆ copy_m4_m4_db()

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

Definition at line 89 of file math_matrix_c.cc.

Referenced by lineart_main_load_geometries(), lineart_main_try_generate_shadow_v3(), and mul_m4db_m4db_m4fl().

◆ copy_m4d_m4()

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

Definition at line 186 of file math_matrix_c.cc.

Referenced by lineart_object_load_single_instance(), and projmat_dimensions_db().

◆ determinant_m2()

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

Definition at line 2043 of file math_matrix_c.cc.

References b.

Referenced by determinant_m3(), invert_m2_m2(), 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 2048 of file math_matrix_c.cc.

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 1088 of file math_matrix_c.cc.

Referenced by invert_m3_m3(), invert_m3_m3_ex(), is_negative_m3(), mat3_normalized_to_quat_with_checks(), mat3_to_volume_scale(), matrix_invert_safe_internal(), TEST(), vcloud_estimate_transform_v3(), volume_tetrahedron_signed_v3(), and volume_tetrahedron_v3().

◆ determinant_m3_array_db()

double determinant_m3_array_db ( const double m[3][3] )

Definition at line 1102 of file math_matrix_c.cc.

Referenced by blender::bke::tests::EXPECT_M3_ORTHOGONAL().

◆ determinant_m4()

float determinant_m4 ( const float m[4][4] )

Definition at line 2059 of file math_matrix_c.cc.

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 1095 of file math_matrix_c.cc.

Referenced by is_negative_m4(), and mat4_to_volume_scale().

◆ equals_m3m3()

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

Definition at line 2519 of file math_matrix_c.cc.

References equals_v3v3().

Referenced by 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 2525 of file math_matrix_c.cc.

References equals_v4v4().

Referenced by BKE_gpencil_update_layer_transforms(), blf_batch_draw_begin(), dynamicPaint_surfaceHasMoved(), object_apply_mat4_with_protect(), blender::ed::object::object_xform_array_m4(), blender::eevee::ShadowTileMap::sync_cubeface(), and blender::eevee::ShadowTileMap::sync_orthographic().

◆ has_zero_axis_m4()

bool has_zero_axis_m4 ( const float matrix[4][4] )

Definition at line 3110 of file math_matrix_c.cc.

References len_squared_v3().

Referenced by object_has_zero_axis_matrix().

◆ interp_m3_m3m3()

void interp_m3_m3m3	(	float	R[3][3],
		const float	A[3][3],
		const float	B[3][3],
		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 #46418 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 2432 of file math_matrix_c.cc.

References B, interp_qt_qtqt(), interp_v3_v3v3(), is_negative_m3(), mat3_polar_decompose(), mat3_to_quat(), mul_m3_fl(), mul_m3_m3m3(), P, quat_to_mat3(), and R.

Referenced by ElementRotation_ex(), 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],
		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 2477 of file math_matrix_c.cc.

References B, copy_m3_m4(), copy_m4_m3(), copy_v3_v3(), interp_m3_m3m3(), interp_v3_v3v3(), and R.

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

◆ invert_m2_m2()

bool invert_m2_m2	(	float	inverse[2][2],
		const float	mat[2][2] )

Definition at line 1109 of file math_matrix_c.cc.

References adjoint_m2_m2(), determinant_m2(), and inverse().

Referenced by blender::geometry::uv_parametrizer_average(), and uvedit_pack_islands_multi().

◆ invert_m3()

bool invert_m3 ( float mat[3][3] )

◆ invert_m3_ex()

bool invert_m3_ex	(	float	mat[3][3],
		float	epsilon )

Definition at line 1125 of file math_matrix_c.cc.

References copy_m3_m3(), and invert_m3_m3_ex().

◆ invert_m3_m3()

bool invert_m3_m3	(	float	inverse[3][3],
		const float	mat[3][3] )

Definition at line 1170 of file math_matrix_c.cc.

References adjoint_m3_m3(), b, determinant_m3_array(), inverse(), and LIKELY.

Referenced by add_pose_transdata(), blender::ed::object::apply_objects_internal(), apply_shear_value(), apply_targetless_ik(), applyAlign(), applyObjectConstraintSize(), armature_bone_primitive_add_exec(), armature_click_extrude_exec(), armature_finalize_restpose(), BKE_crazyspace_api_displacement_to_original(), BKE_mask_point_parent_matrix_get(), BKE_mesh_remap_calc_faces_from_mesh(), calc_bbox(), calc_deltas(), colormanage_load_config(), contarget_get_mesh_mat(), convert_tree(), createTransArmatureVerts(), ed_editnurb_spin(), ElementMirror(), execute_posetree(), flush_pixel(), getTransformOrientation_ex(), gizmo_mesh_spin_redo_setup(), init_TransDataContainers(), invert_m3(), invert_m3_m3_safe_ortho(), locktrack_evaluate(), MaskPointToTransData(), mat3_to_quat_legacy(), mat3_vec_to_roll(), blender::ed::object::new_primitive_matrix(), object_grid_element_to_tangent_displacement(), blender::ed::object::object_hook_recenter_exec(), blender::ed::object::object_origin_set_exec(), blender::ed::object::object_transform_axis_target_modal(), pseudoinverse_m3_m3(), RE_bake_normal_world_to_tangent(), blender::io::ply::set_world_axes_transform(), similar_edge_select_exec(), snap_sel_to_grid_exec(), snap_selected_to_location(), snapsource_confirm(), 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	inverse[3][3],
		const float	mat[3][3],
		float	epsilon )

Definition at line 1134 of file math_matrix_c.cc.

References adjoint_m3_m3(), b, BLI_assert, determinant_m3_array(), fabsf, inverse(), and LIKELY.

Referenced by invert_m3_ex().

◆ invert_m3_m3_safe_ortho()

void invert_m3_m3_safe_ortho	(	float	inverse[3][3],
		const float	mat[3][3] )

Definition at line 3190 of file math_matrix_c.cc.

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

Referenced by createTransGPencil_strokes(), ObjectToTransData(), transform_orientations_current_set(), and transformViewUpdate().

◆ invert_m4()

bool invert_m4 ( float mat[4][4] )

Definition at line 1196 of file math_matrix_c.cc.

References copy_m4_m4(), and invert_m4_m4().

Referenced by 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_apply_parent_inverse(), BKE_object_matrix_local_get(), BKE_texture_mapping_init(), BKE_tracking_stabilize_frame(), BLI_uvproject_camera_info(), bundle_midpoint(), camera_frame_fit_data_init(), blender::ed::object::data_xform_container_update_all(), DRW_hair_duplimat_get(), ebone_spline_preview(), ArmatureImporter::get_joint_bind_mat(), BCMatrix::get_matrix(), gpencil_depth_plane(), gpencil_light_pool_populate(), gpencil_object_cache_add(), GPU_matrix_bind(), make_duplis_particle_system(), object_solver_inverted_matrix(), blender::ed::object::object_transform_to_mouse_exec(), blender::ed::object::object_xform_skip_child_container_update_all(), pose_mirror_info_init(), sequencer_image_crop_transform_matrix(), set_axis(), set_plane_exec(), shrinkwrap_get_tarmat(), snapsource_confirm(), warpModifier_do(), wireframe_hair_cache_populate(), wm_xr_fly_compute_turn(), wm_xr_grab_compute(), and wm_xr_grab_compute_bimanual().

◆ invert_m4_m4()

bool invert_m4_m4	(	float	inverse[4][4],
		const float	mat[4][4] )

Definition at line 1277 of file math_matrix_c.cc.

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

◆ 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 #57767.

Definition at line 1205 of file math_matrix_c.cc.

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	inverse[4][4],
		const float	mat[4][4] )

Definition at line 3144 of file math_matrix_c.cc.

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

Referenced by BKE_constraint_mat_convertspace(), and BKE_object_eval_transform_final().

◆ invert_m4_m4_safe_ortho()

void invert_m4_m4_safe_ortho	(	float	inverse[4][4],
		const float	mat[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 zeroed.

Definition at line 3179 of file math_matrix_c.cc.

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

Referenced by ED_armature_join_objects_exec(), ED_curve_join_objects_exec(), and ED_mesh_join_objects_exec().

◆ is_negative_m3()

bool is_negative_m3 ( const float mat[3][3] )

Return true when the matrices determinant is less than zero.

Note: This is often used to check if a matrix flips content in 3D space, where transforming geometry (for example) would flip the direction of polygon normals from pointing outside a closed volume, to pointing inside (or the reverse).

When the matrix is constructed from location, rotation & scale as matrix will be negative when it has an odd number of negative scales.

Definition at line 2498 of file math_matrix_c.cc.

References determinant_m3_array().

Referenced by axis_dominant_v3_to_m3(), axis_dominant_v3_to_m3_negate(), calc_initial_placement_point_from_view(), interp_m3_m3m3(), mat3_normalized_to_quat_fast(), mat3_to_rot_size(), mat4_to_rot(), and Matrix_is_negative_get().

◆ is_negative_m4()

bool is_negative_m4 ( const float mat[4][4] )

A version of is_negative_m3 that takes a 4x4 matrix.

Definition at line 2503 of file math_matrix_c.cc.

References determinant_m4_mat3_array().

Referenced by blender::ed::object::bake(), BKE_object_eval_transform_final(), BMD_mesh_bm_create(), calc_local_clipping(), DRW_view_update(), DRW_view_update_sub(), ED_view3d_clipping_calc(), blender::io::stl::export_frame(), gizmo_placement_prop_matrix_set(), Matrix_is_negative_get(), blender::ed::sculpt_paint::object_sculpt_mode_enter(), object_where_is_calc_ex(), blender::draw::View::sync(), transform_evaluate(), and unwrap_exec().

◆ is_orthogonal_m3()

bool is_orthogonal_m3 ( const float m[3][3] )

Definition at line 1771 of file math_matrix_c.cc.

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 m[4][4] )

Definition at line 1786 of file math_matrix_c.cc.

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 m[3][3] )

Definition at line 1801 of file math_matrix_c.cc.

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 m[4][4] )

Definition at line 1818 of file math_matrix_c.cc.

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 m[3][3] )

Definition at line 1835 of file math_matrix_c.cc.

References eps, fabsf, len_squared_v3(), 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 1860 of file math_matrix_c.cc.

References copy_m3_m4(), and is_uniform_scaled_m3().

Referenced by BKE_curve_transform_ex().

◆ is_zero_m3()

bool is_zero_m3 ( const float mat[3][3] )

Definition at line 2510 of file math_matrix_c.cc.

References is_zero_v3().

◆ is_zero_m4()

bool is_zero_m4 ( const float mat[4][4] )

Definition at line 2514 of file math_matrix_c.cc.

References is_zero_v4().

Referenced by bmo_transform_exec(), and blender::ed::sculpt_paint::color::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[3],
		float	angle,
		const float	size[3] )

Definition at line 2611 of file math_matrix_c.cc.

References axis_angle_to_quat(), loc_quat_size_to_mat4(), and R.

◆ 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 2541 of file math_matrix_c.cc.

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

Referenced by BKE_gpencil_layer_addnew(), BKE_gpencil_update_layer_transforms(), blo_do_versions_290(), blender::ed::object::collection_drop_exec(), greasepencil_copy_data(), and OVERLAY_gpencil_legacy_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],
		short	order )

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

Definition at line 2565 of file math_matrix_c.cc.

References copy_m4_m3(), eulO_to_mat3(), mul_m3_m3m3(), R, 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 2587 of file math_matrix_c.cc.

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

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

◆ 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 2531 of file math_matrix_c.cc.

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

Referenced by mul_m4_m4m4_aligned_scale(), mul_m4_m4m4_split_channels(), rotlike_evaluate(), seq_image_transform_quad_get_ex(), sequencer_image_crop_transform_matrix(), and transform_evaluate().

◆ madd_m3_m3m3fl()

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

Definition at line 1044 of file math_matrix_c.cc.

References 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],
		float	f )

Definition at line 1055 of file math_matrix_c.cc.

References 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 2266 of file math_matrix_c.cc.

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

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] )

Parameters

rot	A 3x3 rotation matrix, normalized never negative.
size	The scale, negative if `mat3` is negative.

Definition at line 2204 of file math_matrix_c.cc.

References is_negative_m3(), negate_m3(), negate_v3(), normalize_v3_v3(), rot, 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 2178 of file math_matrix_c.cc.

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

Referenced by blender::ed::object::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 2133 of file math_matrix_c.cc.

References len_v3(), and M.

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

◆ mat3_to_size_2d()

void mat3_to_size_2d	(	float	size[2],
		const float	M[3][3] )

Return 2D size assuming the given matrix is a 2D affine matrix.

Definition at line 2127 of file math_matrix_c.cc.

References len_v2(), and M.

◆ mat3_to_size_max_axis()

float mat3_to_size_max_axis ( const float M[3][3] )

Return the largest scale on any axis, the equivalent of calling:

mat3_to_size(size_v3, mat);

size = size_v3[max_axis_v3(size_v3)];

max_axis_v3

MINLINE int max_axis_v3(const float vec[3])

Definition math_geom_inline.c:101

mat3_to_size

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

Definition math_matrix_c.cc:2133

.. without 2x unnecessary sqrtf calls.

Definition at line 2147 of file math_matrix_c.cc.

References len_squared_v3(), M, max_fff(), and sqrtf.

◆ 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 2168 of file math_matrix_c.cc.

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 2249 of file math_matrix_c.cc.

References mat3_normalized_to_quat_fast(), mat4_to_loc_rot_size(), and rot.

Referenced by AnimationImporter::apply_matrix_curves(), BCMatrix::set_transform(), BCMatrix::set_transform(), and blender::io::usd::USDTransformWriter::set_xform_ops().

◆ mat4_to_loc_quat()

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

Definition at line 2237 of file math_matrix_c.cc.

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

Referenced by wm_xr_session_actions_update(), wm_xr_session_base_pose_calc(), wm_xr_session_controller_pose_calc(), and wm_xr_session_state_update().

◆ 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] )

Parameters

rot	A 3x3 rotation matrix, normalized never negative.
size	The scale, negative if `mat3` is negative.

Definition at line 2226 of file math_matrix_c.cc.

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

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(), mul_m4_m4m4_split_channels(), 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] )

Parameters

rot	A 3x3 rotation matrix, normalized never negative.

Definition at line 2216 of file math_matrix_c.cc.

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

◆ mat4_to_scale()

float mat4_to_scale ( const float mat[4][4] )

Definition at line 2187 of file math_matrix_c.cc.

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

Referenced by blender::ed::greasepencil::add_armature_envelope_weights(), add_verts_to_dgroups(), blender::ed::object::apply_objects_internal(), arrayModifier_doArray(), BKE_armature_transform(), BKE_curve_transform(), BKE_gpencil_point_coords_apply_with_mat4(), BKE_gpencil_transform(), BKE_grease_pencil_point_coords_apply_with_mat4(), BKE_mball_minmax_ex(), BKE_mball_transform(), BKE_shrinkwrap_project_normal(), button2d_draw_intern(), blender::ed::sculpt_paint::dyntopo::detail_size::constant_to_brush_detail(), blender::ed::sculpt_paint::dyntopo::detail_size::constant_to_detail_size(), blender::ed::sculpt_paint::dyntopo::detail_size::constant_to_relative_detail(), blender::draw::overlay::GreasePencil::draw_grease_pencil(), drw_shgroup_bone_envelope(), drw_shgroup_bone_envelope_distance(), blender::ed::sculpt_paint::dyntopo::dyntopo_detail_size_sample_from_surface(), ED_armature_edit_transform(), ED_curve_join_objects_exec(), edbm_bevel_init(), edbm_inset_init(), gizmo_arrow_test_select(), gizmo_button2d_bounds(), gpencil_object_cache_add(), gpencil_vfx_blur(), gpencil_vfx_pixelize(), gpencil_vfx_rim(), gpencil_vfx_shadow(), gpencil_vfx_swirl(), gpencil_vfx_wave(), OVERLAY_outline_grease_pencil(), paint_calc_object_space_radius(), blender::ed::sculpt_paint::dyntopo::sample_detail_dyntopo(), blender::ed::sculpt_paint::dyntopo::sculpt_detail_flood_fill_exec(), and blender::draw::statvis_calc_thickness().

◆ mat4_to_size()

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

◆ 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 2157 of file math_matrix_c.cc.

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

Referenced by BKE_bone_parent_transform_calc_from_matrices().

◆ mat4_to_size_max_axis()

float mat4_to_size_max_axis ( const float M[4][4] )

Only the first 3 axes are used.

Definition at line 2152 of file math_matrix_c.cc.

References len_squared_v3(), M, max_fff(), and sqrtf.

Referenced by ArmatureBoneDrawStrategyBBone::culling_test(), and ArmatureBoneDrawStrategyEnvelope::culling_test().

◆ mat4_to_volume_scale()

float mat4_to_volume_scale ( const float mat[4][4] )

Definition at line 2173 of file math_matrix_c.cc.

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 mat[4][4] )

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

Definition at line 2196 of file math_matrix_c.cc.

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

◆ mul_m2_v2()

void mul_m2_v2	(	const float	mat[2][2],
		float	vec[2] )

Definition at line 775 of file math_matrix_c.cc.

References mul_v2_m2v2().

Referenced by compensate_rotation_center(), blender::geometry::p_chart_uv_transform(), blender::geometry::PackIsland::place_(), blender::geometry::rotate_inside_square(), rotation_contribution(), and Vector_rotate().

◆ mul_m3_fl()

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

Definition at line 946 of file math_matrix_c.cc.

References R.

Referenced by armature_vert_task_with_dvert(), dfdv_damp(), dfdx_spring(), 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 362 of file math_matrix_c.cc.

References B, mul_m3_m3m3(), and R.

Referenced by object_preview_camera_create().

◆ mul_m3_m3_pre()

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

Special matrix multiplies

pre: R <-- AR
post: R <-- RB.

Definition at line 357 of file math_matrix_c.cc.

References mul_m3_m3m3(), and R.

Referenced by ED_transform_calc_gizmo_stats(), handle_armature_parent_orientation(), and knife_constrain_axis().

◆ mul_m3_m3m3()

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

Definition at line 367 of file math_matrix_c.cc.

References B, copy_m3_m3(), ELEM, mul_m3_m3m3(), 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::node_fn_align_euler_to_vector_cc::align_rotations_auto_pivot(), blender::nodes::node_fn_align_euler_to_vector_cc::align_rotations_fixed_pivot(), blender::ed::object::apply_objects_internal(), apply_targetless_ik(), applyAlign(), applyAxisConstraintSize(), applyObjectConstraintRot(), applyObjectConstraintSize(), 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(), colormanage_load_config(), blender::io::alembic::copy_m44_axis_swap(), createTransArmatureVerts(), drawObjectConstraint(), ED_armature_edit_transform(), ed_editnurb_spin(), ElementBoneSize(), ElementMirror(), ElementResize(), ElementRotation_ex(), Euler_rotate(), execute_posetree(), blender::nodes::node_fn_rotate_euler_cc::get_multi_function(), gimbal_axis_object(), gimbal_axis_pose(), gizmo_axis_draw(), gizmo_mesh_spin_redo_update_orient_axis(), interp_m3_m3m3(), legacy_vec_roll_to_mat3_normalized(), 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_m3_m3_post(), mul_m3_m3_pre(), mul_m3_m3m3(), mul_m4_m4m4_aligned_scale(), mul_m4_m4m4_split_channels(), mul_v3m3_dq(), multiresModifier_prepare_join(), blender::ed::object::new_primitive_matrix(), blender::ed::object::object_orient_to_location(), blender::ed::object::object_transform_axis_target_modal(), ObjectToTransData(), projection_matrix_calc(), Quaternion_rotate(), root_to_world_m3(), rotate_eul(), rotate_eulO(), rotlike_evaluate(), splineik_evaluate_bone(), transdata_elem_skin_resize(), transform_convert_mesh_crazyspace_transdata_set(), transform_data_ext_rotate(), transform_evaluate(), vcloud_estimate_transform_v3(), vec_roll_to_mat3_normalized(), vfont_to_curve(), and world_to_root_m3().

◆ mul_m3_m3m4()

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

R = A * B, ignore the elements on the 4th row/column of A.

Definition at line 414 of file math_matrix_c.cc.

References B, copy_m3_m3(), mul_m3_m3m4(), and R.

Referenced by mul_m3_m3m4().

◆ mul_m3_m4m3()

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

R = A * B, ignore the elements on the 4th row/column of B.

Definition at line 438 of file math_matrix_c.cc.

References B, copy_m3_m3(), mul_m3_m4m3(), and R.

Referenced by mul_m3_m4m3(), and 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 488 of file math_matrix_c.cc.

References B, and R.

Referenced by gizmo_3d_draw_invoke(), 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 714 of file math_matrix_c.cc.

References mul_v2_m3v2().

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 916 of file math_matrix_c.cc.

References M, and mul_v3_m3v3().

Referenced by blender::ed::object::apply_objects_internal(), applyFaceNearest(), applyFaceProject(), applyObjectConstraintVec(), armature_calc_roll_exec(), armature_click_extrude_exec(), BKE_mesh_remap_calc_faces_from_mesh(), bmesh_test_dist_add(), bmo_spin_exec(), blender::ed::sculpt_paint::filter::cache_init(), calc_bbox(), calc_distanceCurveVerts(), calc_overlap(), blender::geometry::calc_position_with_interpolation(), blender::bke::pbvh::clip_ray_ortho(), constraintTransLim(), contarget_get_mesh_mat(), convert_tree(), do_kink_spiral(), do_kink_spiral_deform(), 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(), IMB_colormanagement_srgb_to_scene_linear_v3(), blender::ed::sculpt_paint::gesture::init_common(), initFlyInfo(), blender::io::ply::load_plydata(), mat3_to_quat_legacy(), mat3_to_scale(), mball_select_similar_type(), mball_select_similar_type_get(), meshcache_do(), meshdeform_vert_task(), move3d_get_translate(), mul_v3m3_dq(), blender::ed::object::new_primitive_matrix(), nurb_bezt_direction_worldspace_get(), nurb_bpoint_direction_worldspace_get(), blender::ed::object::object_hook_recenter_exec(), blender::ed::object::object_origin_clear_exec(), blender::ed::object::object_origin_set_exec(), blender::ed::object::object_transform_axis_target_modal(), blender::geometry::p_chart_correct_degenerate_triangle_point(), blender::geometry::p_chart_correct_degenerate_triangles2(), pivotcon_evaluate(), proj_paint_state_viewport_init(), psys_get_dupli_path_transform(), RE_bake_normal_world_to_tangent(), ResizeBetween(), blender::math::rotate_around_axis(), blender::nodes::node_geo_curve_primitive_arc_cc::rotate_vector_around_axis(), rotateflagNurb(), RotationBetween(), SCULPT_cursor_geometry_info_update(), blender::ed::sculpt_paint::sculpt_update_cache_invariants(), blender::nodes::node_shader_vector_rotate_cc::sh_node_vector_rotate_around_axis(), blender::nodes::node_shader_vector_rotate_cc::sh_node_vector_rotate_euler(), snap_curs_to_sel_ex(), snap_sel_to_grid_exec(), snap_selected_to_location(), snapsource_confirm(), transdata_elem_bend(), transdata_elem_push_pull(), transdata_elem_shear(), transdata_elem_to_sphere(), transdata_elem_translate(), transform_snap_increment_ex(), tri_to_quat_ex(), blender::ed::sculpt_paint::vwpaint::update_cache_invariants(), uv_cylinder_project(), uv_sphere_project(), Vector_rotate(), blender::ed::object::voxel_size_edit_invoke(), walkApply(), blender::compositor::warp_coord(), 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 921 of file math_matrix_c.cc.

References M, and mul_v3_m3v3_db().

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 1012 of file math_matrix_c.cc.

References double(), and M.

◆ mul_m4_fl()

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

Definition at line 957 of file math_matrix_c.cc.

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 462 of file math_matrix_c.cc.

References B, copy_m4_m4(), mul_m4_m3m4(), and R.

Referenced by constraintRotLim(), constraintSizeLim(), damptrack_do_transform(), ED_armature_join_objects_exec(), blender::io::stl::export_frame(), face_dupli(), gizmo_3d_draw_invoke(), locktrack_evaluate(), mul_m4_m3m4(), blender::io::ply::set_world_axes_transform(), 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 352 of file math_matrix_c.cc.

References B, mul_m4_m4m4(), and R.

Referenced by blender::nodes::node_geo_instance_on_points_cc::add_instances_from_component(), blender::ed::object::apply_objects_internal(), BKE_object_apply_parent_inverse(), blender::ed::sculpt_paint::pose::do_pose_brush(), blender::ed::sculpt_paint::dyntopo::dyntopo_detail_size_edit_invoke(), gizmo_cage2d_modal(), GPU_matrix_mul(), and blender::ed::object::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 347 of file math_matrix_c.cc.

References mul_m4_m4m4(), and R.

Referenced by make_duplis_geometry_set_impl(), and blender::ed::object::voxel_size_edit_invoke().

◆ mul_m4_m4m3()

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

Definition at line 388 of file math_matrix_c.cc.

References B, copy_m4_m4(), mul_m4_m4m3(), and R.

Referenced by applyarmature_adjust_edit_position(), convert_pose(), draw_bone_degrees_of_freedom(), mul_m4_m4m3(), OVERLAY_gpencil_legacy_cache_init(), set_axis(), single_axis_convert(), and ArmatureBoneDrawStrategyCustomShape::update_display_matrix().

◆ mul_m4_m4m4()

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

Definition at line 265 of file math_matrix_c.cc.

References A0, A1, A2, B, copy_m4_m4(), ELEM, mul_m4_m4m4(), R, and sum().

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(), 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(), applyRotationMatrix(), applyTrackballMatrix(), 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_camera_object_dof_distance(), BKE_constraint_apply_for_object(), BKE_constraint_apply_for_pose(), 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_apply_parent_inverse(), BKE_object_eval_parent(), BKE_object_get_parent_matrix(), 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(), blender::ed::sculpt_paint::calc_brush_local_mat(), AnimationImporter::calc_joint_parent_mat_rest(), camera_stereo3d_model_matrix(), camera_view3d_reconstruction(), camerasolver_evaluate(), clampto_evaluate(), 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(), blender::ed::object::data_xform_container_update_all(), deformVerts_do(), blender::ed::sculpt_paint::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_hair_duplimat_get(), drw_shgroup_bone_box(), drw_shgroup_bone_octahedral(), dvar_eval_transChan(), ebone_spline_preview(), ED_armature_join_objects_exec(), ED_curve_join_objects_exec(), 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_update_viewmat(), edbm_extrude_edge_exclude_mirror(), edit_text_cache_populate_cursor(), edit_text_cache_populate_select(), 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(), AnimationImporter::get_joint_rest_mat(), TransformReader::get_node_mat(), get_quick_mesh(), blender::workbench::get_world_shading_rotation_matrix(), gizmo2d_xform_draw_prepare(), gizmo_3d_foreach_selected(), gizmo_cage2d_modal(), gizmo_cage3d_modal(), gizmo_placement_prop_matrix_get(), gizmo_placement_prop_matrix_set(), gpencil_depth_plane(), gpencil_object_cache_add(), GPU_matrix_model_view_projection_get(), hair_create_input_mesh(), init_curve_deform(), Freestyle::BlenderFileLoader::insertShapeNode(), join_mesh_single(), 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_dupli(), make_duplis_collection(), make_duplis_font(), make_duplis_geometry_set_impl(), make_duplis_particle_system(), mat4_to_dquat(), matrix_from_obj_pchan(), matrix_from_obj_pchan(), meshdeformModifier_do(), minmax_evaluate(), MOD_get_texture_coords(), modify_mesh(), modify_mesh(), move3d_draw_intern(), mul_m4_m4_post(), mul_m4_m4_pre(), mul_m4_m4m4(), normalEditModifier_do_directional(), ob_parcurve(), object_apply_mat4_with_protect(), object_solver_inverted_matrix(), blender::ed::object::object_transform_to_mouse_exec(), blender::ed::object::object_warp_calc_view_matrix(), blender::ed::object::object_xform_array_m4(), blender::ed::object::object_xform_skip_child_container_update_all(), objectsolver_evaluate(), OVERLAY_bounds(), OVERLAY_texture_space(), OVERLAY_volume_extra(), pose_mirror_info_init(), pose_transform_mirror_update(), proj_paint_state_viewport_init(), psys_mat_hair_to_global(), blender::io::alembic::AbcObjectReader::read_matrix(), blender::io::usd::USDXformReader::read_matrix(), reconstruct_retrieve_libmv_tracks(), reconstructed_camera_scale_set(), remap_hair_emitter(), resize_transform_matrix_fn(), BCQuat::rotate_to(), SCULPT_cube_tip_init(), blender::ed::sculpt_paint::sculpt_init_mirror_clipping(), set_axis(), set_plane_exec(), solve_parenting(), sort_bmelem_flag(), sphere_do(), surfacedeformModifier_do(), target_callback(), transform_convert_clip_mirror_modifier_apply(), blender::ed::sculpt_paint::transform_matrices_init(), transform_pivot_set_m4(), translike_evaluate(), blender::io::usd::USD_get_transform(), 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(), wm_xr_fly_compute_turn(), wm_xr_grab_compute(), wm_xr_grab_compute_bimanual(), wm_xr_navigation_fly_modal(), wm_xr_navigation_grab_apply(), wm_xr_navlocks_apply(), wm_xr_session_actions_update(), wm_xr_session_controller_pose_calc(), wm_xr_session_state_update(), 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.

NOTE: this effectively takes output location from simple multiplication, and uses mul_m4_m4m4_split_channels for rotation and scale.

Definition at line 1288 of file math_matrix_c.cc.

References B, loc_rot_size_to_mat4(), mat4_to_loc_rot_size(), mul_m3_m3m3(), mul_v3_m4v3(), mul_v3_v3v3(), and R.

Referenced by actcon_evaluate(), and translike_evaluate().

◆ mul_m4_m4m4_split_channels()

void mul_m4_m4m4_split_channels	(	float	R[4][4],
		const float	A[4][4],
		const float	B[4][4] )

Separately combines location, rotation and scale of the input matrices.

Definition at line 1304 of file math_matrix_c.cc.

References add_v3_v3v3(), B, loc_rot_size_to_mat4(), mat4_to_loc_rot_size(), mul_m3_m3m3(), mul_v3_v3v3(), and R.

Referenced by actcon_evaluate(), and translike_evaluate().

◆ mul_m4_v3()

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

Definition at line 719 of file math_matrix_c.cc.

References M.

◆ mul_m4_v4()

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

◆ mul_m4_v4d()

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

Definition at line 873 of file math_matrix_c.cc.

References mul_v4d_m4v4d().

◆ mul_m4db_m4db_m4fl()

void mul_m4db_m4db_m4fl	(	double	R[4][4],
		const double	A[4][4],
		const float	B[4][4] )

Definition at line 315 of file math_matrix_c.cc.

References B, copy_m4_m4_db(), mul_m4db_m4db_m4fl(), and R.

Referenced by lineart_main_load_geometries(), lineart_main_try_generate_shadow_v3(), lineart_object_load_single_instance(), and mul_m4db_m4db_m4fl().

◆ mul_mat3_m4_fl()

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

Definition at line 968 of file math_matrix_c.cc.

References R.

Referenced by add_primitive_monkey_exec(), BKE_bone_parent_transform_calc_from_matrices(), blender::ed::object::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	mat[4][4],
		float	r[3] )

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

Definition at line 780 of file math_matrix_c.cc.

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(), blender::ed::sculpt_paint::brush_delta_update(), brush_puff(), brush_smooth_do(), brush_smooth_get(), cast_ray_highpoly(), damptrack_do_transform(), do_guides(), do_kink(), do_kink_spiral(), dynamic_paint_generate_bake_data_cb(), dynamicPaint_paintMesh(), ED_armature_origin_set(), ED_curve_add_nurbs_primitive(), ED_text_to_object(), ED_view3d_distance_set(), ED_view3d_to_m4(), edbm_dupli_extrude_cursor_invoke(), ElementResize(), face_dupli(), get_effector_data(), blender::ed::sculpt_paint::trim::get_origin_and_normal(), getTransformOrientation_ex(), gpencil_depth_plane(), gpencil_object_cache_add(), initShear_mouseInputMode(), Freestyle::BlenderFileLoader::insertShapeNode(), mat4_to_scale(), mat4_to_xy_scale(), mesh_merge_transform(), modify_mesh(), precalc_guides(), precalculate_effector(), psys_get_birth_coords(), psys_get_particle_on_path(), psys_vec_rot_to_face(), RE_bake_normal_world_to_object(), SCULPT_calc_vertex_displacement(), shrinkwrap_get_tarmat(), uvprojectModifier_do(), vertex_dupli(), view3d_ob_drop_matrix_from_snap(), view3d_viewmatrix_set(), and walk_ray_cast().

◆ mul_project_m4_v3()

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

Definition at line 810 of file math_matrix_c.cc.

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

Referenced by draw_frustum_boundbox_calc(), blender::draw::DebugDraw::draw_matrix(), blender::draw::DebugDraw::draw_matrix_as_bbox(), ED_view3d_win_to_origin(), ED_view3d_win_to_vector(), blender::draw::View::frustum_boundbox_calc(), blender::eevee::DepthOfField::jitter_apply(), blender::eevee::DepthOfField::render(), 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 926 of file math_matrix_c.cc.

References M.

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 936 of file math_matrix_c.cc.

References M.

Referenced by calc_point_from_barycentric_extrusion(), displaceModifier_do_task(), face_to_plane(), knife_snap_angle_relative(), mesh_bisect_exec(), RE_bake_normal_world_to_tangent(), similar_face_select_exec(), similar_vert_select_exec(), blender::draw::statvis_calc_overhang(), blender::ed::curves::stroke_elem_project_fallback(), and stroke_elem_project_fallback().

◆ mul_v2_m2v2()

void mul_v2_m2v2	(	float	r[2],
		const float	mat[2][2],
		const float	vec[2] )

Definition at line 767 of file math_matrix_c.cc.

Referenced by blender::geometry::PackIsland::get_diagonal_support(), mul_m2_v2(), blender::geometry::PackIsland::place_(), blender::geometry::rotate_inside_square(), snap_v2_angle(), stitch_uv_rotate(), blender::geometry::Occupancy::trace_island(), and uvedit_pack_islands_multi().

◆ mul_v2_m3v2()

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

Definition at line 701 of file math_matrix_c.cc.

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

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

◆ mul_v2_m3v3()

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

Definition at line 907 of file math_matrix_c.cc.

References copy_v3_v3(), and M.

Referenced by BKE_mesh_remap_calc_faces_from_mesh(), BLI_scanfill_calc_ex(), bm_edge_calc_rotate_beauty__area(), 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_vert_interp_from_face(), bmesh_calc_tessellation_for_face_beauty(), bmesh_calc_tessellation_for_face_impl(), C_BVHTree_FromPolygons(), blender::io::obj::fixup_invalid_face(), blender::bke::mesh::mesh_calc_tessellation_for_face_impl(), mesh_tessface_calc(), normalize_v2_m3_v3v3(), blender::geometry::p_add_ngon(), poly_rotate_plane(), projected_boundary_area(), smart_project_exec(), and blender::bke::greasepencil::update_triangle_cache().

◆ mul_v2_m4v3()

void mul_v2_m4v3	(	float	r[2],
		const float	mat[4][4],
		const float	vec[3] )

Definition at line 759 of file math_matrix_c.cc.

Referenced by mul_v2_project_m4_v3().

◆ mul_v2_project_m4_v3()

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

Definition at line 831 of file math_matrix_c.cc.

References fabsf, mul_project_m4_v3_zfac(), mul_v2_m4v3(), 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 887 of file math_matrix_c.cc.

References copy_v3_v3(), and M.

Referenced by blender::nodes::node_fn_align_euler_to_vector_cc::align_rotations_auto_pivot(), blender::nodes::node_fn_align_euler_to_vector_cc::align_rotations_fixed_pivot(), apply_tangmat_callback(), applyNormalRotation(), applyTranslation(), applyTranslationMatrix(), assign_final_coords_from_mdisps(), assign_final_elements_from_orig_mdisps(), blender::bke::subdiv::average_read_displacement_object(), BKE_crazyspace_api_displacement_to_deformed(), BKE_crazyspace_api_displacement_to_original(), 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(), deformVerts_do(), edbm_extrude_repeat_exec(), blender::bke::subdiv::eval_displacement(), blender::io::stl::export_frame(), gizmo_axis_draw(), gizmo_mesh_spin_init_refresh(), gizmo_mesh_spin_redo_update_from_op(), hook_co_apply(), IMB_colormanagement_aces_to_scene_linear(), IMB_colormanagement_rec709_to_scene_linear(), IMB_colormanagement_scene_linear_to_aces(), IMB_colormanagement_scene_linear_to_rec709(), IMB_colormanagement_scene_linear_to_srgb_v3(), IMB_colormanagement_scene_linear_to_xyz(), IMB_colormanagement_xyz_to_scene_linear(), initResize(), blender::bke::mesh_init_origspace(), MOD_solidify_nonmanifold_modifyMesh(), modify_mesh(), mul_m3_v3(), mul_v2_m3v2(), multires_disp_run_cb(), multires_reshape_apply_base_update_mesh_coords(), object_grid_element_to_tangent_displacement(), blender::ed::object::object_origin_set_exec(), paintface_minmax(), prop_dist_loc_get(), root_to_world_v3(), blender::io::ply::set_world_axes_transform(), snap_selected_to_location(), track_plane_from_existing_motion(), transform_constraint_get_nearest(), 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 897 of file math_matrix_c.cc.

References copy_v3_v3_db(), and M.

Referenced by mul_m3_v3_db().

◆ mul_v3_m4v3()

void mul_v3_m4v3	(	float	r[3],
		const float	mat[4][4],
		const float	vec[3] )

Definition at line 729 of file math_matrix_c.cc.

Referenced by blender::ed::object::add_hook_object(), add_vertex_invoke(), add_verts_to_dgroups(), add_weighted_dq_dq_pivot(), 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_wrapper_vert_coords_copy_with_mat4(), BKE_object_as_kdtree(), BKE_object_foreach_display_point(), BKE_object_get_parent_matrix(), BKE_object_minmax_dupli(), BKE_pchan_bbone_spline_params_get(), BKE_pchan_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(), blender::ed::sculpt_paint::brush_delta_update(), brush_puff(), bundle_midpoint(), cage3d_draw_box_interaction(), cage3d_draw_circle_handles(), calc_local_clipping(), blender::ed::sculpt_paint::calc_local_from_screen(), blender::ed::sculpt_paint::trim::calculate_depth(), calculate_profile(), calculate_profile_segments(), calculateCenterLocal(), cast_ray_highpoly(), compute_bbone_segment_boundaries(), constraint_target_to_mat4(), contarget_get_lattice_mat(), contarget_get_mesh_mat(), cuboid_do(), ArmatureBoneDrawStrategyBBone::culling_test(), blender::ed::curves::curve_draw_stroke_from_operator_elem(), curve_draw_stroke_from_operator_elem(), blender::ed::object::data_xform_by_mat4(), do_set_scale(), blender::io::alembic::ABCPointsWriter::do_write(), drawObjectConstraint(), drw_call_culling_init(), ebone_spline_preview(), ED_clip_point_stable_pos(), ED_clip_point_stable_pos__reverse(), ED_mesh_deform_bind_callback(), 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(), extrude_points_from_selected_vertices(), face_to_plane(), followtrack_evaluate_using_2d_position(), followtrack_project_to_depth_object_if_needed(), blender::ed::sculpt_paint::trim::generate_geometry(), generate_vert_coordinates(), get_bm_knife_vert(), blender::ed::object::get_new_constraint_target(), blender::ed::sculpt_paint::trim::get_origin_and_normal(), get_vert2ob_distance(), gizmo_3d_foreach_selected(), gizmo_move_modal(), gizmo_preselect_elem_test_select(), gpencil_vfx_pixelize(), gpencil_vfx_shadow(), gpencil_vfx_swirl(), gpencil_vfx_wave(), GPU_matrix_unproject_3fv(), hook_co_apply(), kinematic_get_tarmat(), blender::ed::sculpt_paint::gesture::line_plane_from_tri(), meshdeform_vert_task(), meshdeformModifier_do(), metaball_instance_data_set(), MOD_get_texture_coords(), mul_m4_m4m4_aligned_scale(), mul_v3_project_m4_v3(), nearestVert(), blender::ed::object::object_origin_set_exec(), blender::ed::object::object_warp_calc_view_matrix(), blender::ed::object::object_warp_transverts(), OVERLAY_relationship_lines(), paint_calc_object_space_radius(), blender::ed::sculpt_paint::paint_space_stroke_spacing(), particle_system_minmax(), pchan_deform_accumulate(), pose_transform_mirror_update(), proj_paint_state_screen_coords_init(), prop_dist_loc_get(), psys_cache_paths(), raycast_all_cb(), reconstruct_retrieve_libmv_tracks(), remap_hair_emitter(), screenspace_to_worldspace(), selected_tracking_boundbox(), set_axis(), set_origin_exec(), set_plane_exec(), shape_cut(), shape_cut_test_point(), SnapData::snap_edge_points_impl(), snap_selected_to_location(), snap_to_pipe_profile(), sort_bmelem_flag(), sphere_do(), splineik_evaluate_bone(), blender::ed::curves::stroke_elem_pressure_set(), stroke_elem_pressure_set(), blender::ed::curves::stroke_elem_project_fallback(), stroke_elem_project_fallback(), surfacedeformBind(), tracking_stabilize_frame_interpolation_cb(), transdata_center_global_get(), uv_map_transform_center(), uvprojectModifier_do(), view3d_preselect_update_preview_triangle_from_vert(), blender::ed::object::voxel_size_edit_invoke(), vpaint_stroke_update_step(), warpModifier_do(), WIDGETGROUP_xform_cage_refresh(), 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 739 of file math_matrix_c.cc.

Referenced by lineart_mvert_transform_task().

◆ mul_v3_mat3_m4v3()

void mul_v3_mat3_m4v3	(	float	r[3],
		const float	mat[4][4],
		const float	vec[3] )

Definition at line 790 of file math_matrix_c.cc.

Referenced by applyarmature_process_selected_recursive(), bone_length_squared_worldspace_get(), cast_ray_highpoly(), compute_bbone_segment_boundaries(), blender::ed::sculpt_paint::do_multiplane_scrape_brush(), edbm_dupli_extrude_cursor_invoke(), edge_length_squared_worldspace_get(), followtrack_distance_from_viewplane_get(), gizmo_calc_rect_view_scale(), gizmo_calc_rect_view_scale(), blender::ed::sculpt_paint::gesture::line_plane_from_tri(), lineart_main_get_view_vector(), move3d_get_translate(), blender::ed::object::object_origin_set_exec(), SCULPT_tilt_apply_to_normal(), and splineik_evaluate_bone().

◆ mul_v3_mat3_m4v3_db()

void mul_v3_mat3_m4v3_db	(	double	r[3],
		const double	mat[4][4],
		const double	vec[3] )

Definition at line 800 of file math_matrix_c.cc.

Referenced by lineart_load_tri_task().

◆ 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 821 of file math_matrix_c.cc.

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

Referenced by dial_ghostarc_get_angles(), draw_frustum_bound_sphere_calc(), and blender::draw::View::frustum_culling_sphere_calc().

◆ mul_v4_m4v3()

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

Definition at line 878 of file math_matrix_c.cc.

References M, and v.

Referenced by GPU_matrix_project_2fv(), and GPU_matrix_project_3fv().

◆ mul_v4_m4v3_db()

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

Definition at line 748 of file math_matrix_c.cc.

Referenced by lineart_create_edges_from_isec_data(), lineart_geometry_check_visible(), lineart_main_make_enclosed_shapes(), lineart_mvert_transform_task(), lineart_shadow_cast_onto_triangle(), lineart_shadow_register_enclosed_shapes(), lineart_shadow_transform_task(), lineart_triangle_cull_single(), and lineart_triangle_edge_image_space_occlusion().

◆ mul_v4_m4v4()

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

Definition at line 840 of file math_matrix_c.cc.

References v, and z().

Referenced by calculate_reprojection_error_at_marker(), draw_tracking_tracks(), DRW_culling_min_max_test(), mul_m4_v4(), and blender::compositor::ColorBalanceWhitepointOperation::update_memory_buffer_row().

◆ mul_v4d_m4v4d()

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

Definition at line 857 of file math_matrix_c.cc.

References double(), v, and z().

Referenced by mul_m4_v4d().

◆ negate_m3()

void negate_m3 ( float R[3][3] )

Definition at line 979 of file math_matrix_c.cc.

References R.

Referenced by BMD_mesh_intersection(), mat3_normalized_to_quat_with_checks(), mat3_to_rot_size(), 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 1001 of file math_matrix_c.cc.

References R.

Referenced by blender::ed::sculpt_paint::gesture::flip_for_symmetry_pass(), and blender::ed::sculpt_paint::gesture::update_affected_nodes_by_clip_planes().

◆ negate_mat3_m4()

void negate_mat3_m4 ( float R[4][4] )

Definition at line 990 of file math_matrix_c.cc.

References R.

Referenced by gizmo_placement_prop_matrix_set().

◆ normalize_m2()

void normalize_m2 ( float R[2][2] )

Definition at line 1875 of file math_matrix_c.cc.

References normalize_v2(), and R.

◆ normalize_m2_ex()

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

Definition at line 1867 of file math_matrix_c.cc.

References normalize_v2(), and R.

◆ normalize_m2_m2()

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

Definition at line 1890 of file math_matrix_c.cc.

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 1883 of file math_matrix_c.cc.

References M, normalize_v2_v2(), and R.

◆ normalize_m3()

void normalize_m3 ( float R[3][3] )

Definition at line 1905 of file math_matrix_c.cc.

References normalize_v3(), and R.

Referenced by add_pose_transdata(), apply_targetless_ik(), axis_angle_to_gimbal_axis(), BKE_armature_transform(), camera_frame_fit_data_init(), convert_tree(), createObjectSpace(), createSpaceNormal(), createTransArmatureVerts(), createTransCursor_view3d(), createTransSculpt(), 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_object(), gimbal_axis_pose(), gizmo_mesh_extrude_draw_prepare(), locktrack_evaluate(), mat3_to_quat_legacy(), mat4_to_compatible_eulO(), mat4_to_eulO(), mat4_to_quat(), mathutils_any_to_rotmat(), Matrix_normalize(), Matrix_to_euler(), blender::ed::object::object_transform_axis_target_modal(), pivotcon_evaluate(), SeqToTransData(), splineik_evaluate_bone(), transform_orientation_matrix_get(), transformViewUpdate(), and v3d_cursor_poject_surface_normal().

◆ normalize_m3_ex()

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

Definition at line 1898 of file math_matrix_c.cc.

References normalize_v3(), and R.

◆ normalize_m3_m3()

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

Definition at line 1920 of file math_matrix_c.cc.

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 1913 of file math_matrix_c.cc.

References M, normalize_v3_v3(), and R.

◆ normalize_m4()

void normalize_m4 ( float R[4][4] )

◆ normalize_m4_ex()

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

Definition at line 1928 of file math_matrix_c.cc.

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	rmat[4][4],
		const float	mat[4][4] )

Definition at line 1958 of file math_matrix_c.cc.

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

Referenced by button2d_draw_intern(), camera_stereo3d_model_matrix(), ED_view3d_camera_lock_sync(), gpencil_light_pool_populate(), move3d_draw_intern(), blender::ed::object::object_transform_to_mouse_exec(), 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	rmat[4][4],
		const float	mat[4][4],
		float	r_scale[3] )

Definition at line 1949 of file math_matrix_c.cc.

References copy_v4_v4(), and normalize_v3_v3().

◆ 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 1429 of file math_matrix_c.cc.

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

Referenced by v3d_cursor_poject_surface_normal(), and v3d_cursor_snap_update().

◆ 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 1650 of file math_matrix_c.cc.

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

◆ orthogonalize_m3_zero_axes()

bool orthogonalize_m3_zero_axes	(	float	m[3][3],
		float	unit_length )

Definition at line 1758 of file math_matrix_c.cc.

References orthogonalize_m3_zero_axes_impl().

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 1513 of file math_matrix_c.cc.

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

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

◆ 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 1668 of file math_matrix_c.cc.

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

Referenced by armdef_accumulate_matrix(), BKE_bone_parent_transform_calc_from_matrices(), BKE_object_apply_parent_inverse(), rotlike_evaluate(), rotlimit_evaluate(), stretchto_evaluate(), and translike_evaluate().

◆ orthogonalize_m4_zero_axes()

bool orthogonalize_m4_zero_axes	(	float	m[4][4],
		float	unit_length )

Definition at line 1763 of file math_matrix_c.cc.

References orthogonalize_m3_zero_axes_impl().

Referenced by invert_m4_m4_safe_ortho().

◆ print_m3()

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

Definition at line 2621 of file math_matrix_c.cc.

References printf, and str.

◆ print_m4()

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

Definition at line 2630 of file math_matrix_c.cc.

References printf, and str.

Referenced by armature_finalize_restpose().

◆ pseudoinverse_m3_m3()

void pseudoinverse_m3_m3	(	float	inverse[3][3],
		const float	mat[3][3],
		float	epsilon )

◆ pseudoinverse_m4_m4()

void pseudoinverse_m4_m4	(	float	inverse[4][4],
		const float	mat[4][4],
		float	epsilon )

Definition at line 3076 of file math_matrix_c.cc.

References inverse(), mul_m4_series, svd_m4(), transpose_m4(), transpose_m4_m4(), V, W, and zero_m4().

Referenced by pseudoinverse_m3_m3(), and blender::tests::TEST().

◆ rescale_m4()

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

Scale a matrix in-place.

Definition at line 2358 of file math_matrix_c.cc.

References mul_v3_fl().

Referenced by BKE_bone_parent_transform_apply(), BKE_bone_parent_transform_calc_from_matrices(), BKE_pchan_minmax(), C_Matrix_LocRotScale(), draw_axes(), draw_bone_update_disp_matrix_default(), gpencil_depth_plane(), gpencil_object_cache_add(), gpencil_uv_transform_get(), gpencil_vfx_shadow(), blender::io::ply::importer_main(), blender::io::stl::importer_main(), loc_rot_size_to_mat4(), modify_mesh(), blender::ed::object::new_primitive_matrix(), blender::draw::overlay::Lights::object_sync(), OVERLAY_gpencil_legacy_cache_init(), OVERLAY_light_cache_populate(), blender::nodes::node_geo_scale_instances_cc::scale_instances(), stretchto_evaluate(), blender::io::obj::transform_object(), ArmatureBoneDrawStrategyCustomShape::update_display_matrix(), and view3d_ob_drop_matrix_from_snap().

◆ rotate_m4()

void rotate_m4	(	float	mat[4][4],
		char	axis,
		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 2321 of file math_matrix_c.cc.

References BLI_assert, BLI_assert_unreachable, col, cosf, and sinf.

Referenced by blender::ed::sculpt_paint::cursor_draw_point_with_symmetry(), gizmo2d_xform_draw_prepare(), gizmo_cage2d_modal(), gpencil_uv_transform_get(), gpencil_vfx_shadow(), GPU_matrix_rotate_2d(), GPU_matrix_rotate_axis(), modify_mesh(), polarview_m4(), 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 2285 of file math_matrix_c.cc.

References R.

Referenced by blender::ed::sculpt_paint::filter::calc_sphere_translations(), deform_matrices(), and deform_matrices_EM().

◆ scale_m4_fl()

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

Definition at line 2293 of file math_matrix_c.cc.

References R.

Referenced by BKE_object_obdata_size_init(), BKE_pchan_minmax(), blender::ed::sculpt_paint::calc_brush_local_mat(), blender::io::alembic::ABCTransformWriter::do_write(), draw_bone_degrees_of_freedom(), drw_shgroup_bone_envelope(), external_cache_image_add(), followpath_get_tarmat(), GPU_matrix_scale_1f(), ob_parcurve(), OVERLAY_bounds(), blender::io::alembic::AbcObjectReader::read_matrix(), blender::io::usd::USDXformReader::read_matrix(), reconstructed_camera_scale_set(), SCULPT_cube_tip_init(), and blender::ed::object::voxel_size_edit_invoke().

◆ scale_m4_v2()

void scale_m4_v2	(	float	R[4][4],
		const float	scale[2] )

Definition at line 2303 of file math_matrix_c.cc.

References R.

◆ shuffle_m4()

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

Build index shuffle matrix.

Definition at line 253 of file math_matrix_c.cc.

References R, and zero_m4().

Referenced by modify_mesh().

◆ size_to_mat3()

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

Definition at line 2094 of file math_matrix_c.cc.

References R.

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 2107 of file math_matrix_c.cc.

References R.

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(), AnimationImporter::evaluate_animation(), make_duplis_particle_system(), OVERLAY_bounds(), OVERLAY_texture_space(), stabilization_data_to_mat4(), blender::ed::sculpt_paint::transform_matrices_init(), and blender::ed::object::voxel_size_edit_invoke().

◆ sub_m3_m3m3()

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

Definition at line 1066 of file math_matrix_c.cc.

References 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 1077 of file math_matrix_c.cc.

References B, and R.

◆ svd_m4()

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

Compute the Single Value Decomposition of an arbitrary matrix A That is compute the 3 matrices U,W,V with U column orthogonal (m,n) ,W a diagonal matrix and V an orthogonal square matrix s.t.A = U.W.Vt. From this decomposition it is trivial to compute the (pseudo-inverse) of A as Ainv = V.Winv.transpose(U).

Definition at line 2640 of file math_matrix_c.cc.

References b, copy_m4_m4(), e, eps, fabsf, hypotf, max_ff(), max_ii(), min_ii(), powf, sqrtf, 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 225 of file math_matrix_c.cc.

◆ swap_m4m4()

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

Definition at line 239 of file math_matrix_c.cc.

Referenced by vpaint_stroke_update_step(), and wpaint_stroke_update_step().

◆ 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 2365 of file math_matrix_c.cc.

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

Referenced by applyRotationMatrix(), applyTrackballMatrix(), bmo_rotate_exec(), ED_view3d_win_to_3d_on_plane_with_fallback(), gizmo_cage2d_modal(), gizmo_cage3d_modal(), resize_transform_matrix_fn(), seq_image_transform_quad_get_ex(), and sequencer_image_crop_transform_matrix().

◆ translate_m4()

void translate_m4	(	float	mat[4][4],
		float	Tx,
		float	Ty,
		float	Tz )

Definition at line 2314 of file math_matrix_c.cc.

Referenced by BKE_pchan_minmax(), camera_stereo3d_model_matrix(), camera_view3d_reconstruction(), blender::ed::object::collection_drop_exec(), cursor_point_draw(), blender::ed::sculpt_paint::pose::do_pose_brush(), draw_axes(), draw_bone_degrees_of_freedom(), draw_bone_update_disp_matrix_default(), blender::ed::sculpt_paint::dyntopo::dyntopo_detail_size_edit_invoke(), external_cache_image_add(), 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(), modify_mesh(), OVERLAY_forcefield(), OVERLAY_gpencil_legacy_cache_init(), OVERLAY_volume_extra(), blender::ed::sculpt_paint::paint_cursor_drawing_setup_cursor_space(), polarview_m4(), blender::ed::sculpt_paint::SCULPT_layer_brush_height_preview_draw(), blender::ed::sculpt_paint::cloth::simulation_limits_draw(), blender::ed::sculpt_paint::transform_matrices_init(), ArmatureBoneDrawStrategyCustomShape::update_display_matrix(), view3d_viewmatrix_set(), wm_xr_pose_scale_to_imat(), and wm_xr_pose_to_imat().

◆ transpose_m3()

void transpose_m3 ( float R[3][3] )

Definition at line 1322 of file math_matrix_c.cc.

References R.

Referenced by axis_dominant_v3_to_m3(), axis_dominant_v3_to_m3_negate(), contarget_get_mesh_mat(), blender::io::usd::USDTransformWriter::do_write(), blender::io::usd::ensure_root_prim(), getTransformOrientation_ex(), GPU_matrix_normal_get(), Matrix_transpose(), blender::io::ply::set_world_axes_transform(), 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 1337 of file math_matrix_c.cc.

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] )

Note: Seems obscure but in-fact a common operation.

Definition at line 1352 of file math_matrix_c.cc.

References BLI_assert, M, and R.

Referenced by psys_get_dupli_path_transform().

◆ transpose_m4()

void transpose_m4 ( float R[4][4] )

Definition at line 1367 of file math_matrix_c.cc.

References R.

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_main_get_view_vector(), lineart_object_load_single_instance(), Matrix_transpose(), modify_mesh(), 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 1393 of file math_matrix_c.cc.

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(), and pseudoinverse_m4_m4().

◆ unit_m2()

void unit_m2 ( float m[2][2] )

Definition at line 40 of file math_matrix_c.cc.

Referenced by matrix_identity_internal(), and matrix_invert_safe_internal().

◆ unit_m3()

void unit_m3 ( float m[3][3] )

Definition at line 47 of file math_matrix_c.cc.

Referenced by blender::ed::object::apply_objects_internal(), apply_shear_value(), armature_bone_primitive_add_exec(), axis_angle_to_mat3(), BKE_bone_parent_transform_calc_from_matrices(), BKE_curve_deform_co(), BKE_mask_point_parent_matrix_get(), bm_vert_pair_to_matrix(), bmo_scale_exec(), BMO_slot_mat3_get(), calc_tangent_loop(), blender::compositor::PlaneDistortWarpImageOperation::calculate_corners(), convert_tree(), blender::io::alembic::copy_m44_axis_swap(), blender::io::alembic::create_swapped_rotation_matrix(), blender::ed::transform::create_transform_data_for_node(), createTransCursor_2D_impl(), createTransCursor_view3d(), createTransGPencil_strokes(), createTransGraphEditData(), createTransNlaData(), createTransParticleVerts(), 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(), ElementRotation_ex(), execute_posetree(), blender::io::stl::export_frame(), gizmo2d_xform_invoke_prepare(), gizmo_mesh_extrude_refresh(), gizmo_mesh_spin_redo_setup(), handle_object_parent_orientation(), blender::io::ply::importer_main(), blender::io::stl::importer_main(), initTransform(), initTransInfo(), invert_m3_m3_safe_ortho(), legacy_vec_roll_to_mat3_normalized(), locktrack_evaluate(), markerToTransCurveDataInit(), markerToTransDataInit(), MaskHandleToTransData(), MaskPointToTransData(), mat3_from_axis_conversion(), mat3_from_axis_conversion_single(), mat3_normalized_to_quat_with_checks(), matrix_identity_internal(), matrix_invert_safe_internal(), mesh_calc_eigen_matrix(), meshcache_do(), ObjectToTransData(), PaintCurveConvertHandle(), PaintCurvePointToTransData(), planeMarkerToTransDataInit(), projection_matrix_calc(), restoreTransObjects(), rotation_between_vecs_to_mat3(), SeqToTransData(), SeqToTransData(), SeqToTransData(), blender::io::ply::set_world_axes_transform(), SIM_mass_spring_clear_constraints(), SIM_mass_spring_set_rest_transform(), SIM_mass_spring_set_vertex_mass(), softbody_reset(), spring_hairbend_estimate_dfdv(), spring_hairbend_estimate_dfdx(), blender::bke::tests::TEST(), blender::io::alembic::TEST(), blender::io::alembic::TEST(), blender::io::alembic::TEST(), blender::io::alembic::TEST(), TEST(), TEST(), to_scene_linear_matrix(), transdata_elem_translate(), transform_convert_mesh_islands_calc(), transform_data_ext_rotate(), blender::io::obj::transform_object(), transform_orientation_matrix_get(), transform_orientations_create_from_axis(), ui_draw_but_WAVEFORM(), uv_map_transform(), UVsToTransData(), v3d_cursor_snap_update(), vcloud_estimate_transform_v3(), vec_roll_to_mat3_normalized(), and vectomat().

◆ unit_m4()

static void unit_m4 ( float m[4][4] )

Definition at line 1127 of file rct.c.

◆ unit_m4_db()

void unit_m4_db ( double m[4][4] )

Definition at line 64 of file math_matrix_c.cc.

Referenced by lineart_main_load_geometries(), lineart_main_try_generate_shadow_v3(), lineart_matrix_ortho_44d(), and lineart_matrix_perspective_44d().

◆ zero_axis_bias_m4()

void zero_axis_bias_m4 ( float mat[4][4] )

Fix any zero scale axis adding a small bias orthogonal to the other valid axis.

Definition at line 3116 of file math_matrix_c.cc.

References cross_v3_v3v3(), len_squared_v3(), and mul_v3_fl().

◆ zero_m2()

void zero_m2 ( float m[2][2] )

Definition at line 25 of file math_matrix_c.cc.

◆ zero_m3()

void zero_m3 ( float m[3][3] )

Definition at line 30 of file math_matrix_c.cc.

Referenced by armature_vert_task_with_dvert(), cross_identity_v3(), end_node_frames(), flush_pixel(), hair_grid_interpolate(), MOD_solidify_nonmanifold_modifyMesh(), 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 35 of file math_matrix_c.cc.

Referenced by armdef_evaluate(), BKE_texture_mapping_init(), BMO_slot_mat_set(), ED_view3d_clear_mats_rv3d(), gizmo_mesh_placement_modal_from_setup(), pseudoinverse_m4_m4(), SCULPT_cube_tip_init(), shuffle_m4(), svd_m4(), and uv_map_rotation_matrix_ex().

Classes

Functions

Arithmetic

Linear Algebra

Transformations

Other

Macro Definition Documentation

◆ BLI_SPACE_TRANSFORM_SETUP

◆ mul_m3_series

◆ mul_m4_series

◆ print_m3_id

◆ print_m4_id

◆ PSEUDOINVERSE_EPSILON

Typedef Documentation

◆ SpaceTransform

Function Documentation

◆ _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()

◆ _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()

◆ add_m3_m3m3()

◆ add_m4_m4m4()

◆ adjoint_m2_m2()

◆ adjoint_m3_m3()

◆ adjoint_m4_m4()

◆ blend_m3_m3m3()

◆ blend_m4_m4m4()

◆ BLI_space_transform_apply()

◆ BLI_space_transform_apply_normal()

◆ BLI_space_transform_from_matrices()

◆ BLI_space_transform_global_from_matrices()

◆ BLI_space_transform_invert()

◆ BLI_space_transform_invert_normal()

◆ compare_m4m4()

◆ copy_m2_m2()

◆ copy_m3_m2()

◆ copy_m3_m3()

◆ copy_m3_m3d()

◆ copy_m3_m4()

◆ copy_m3d_m3()

◆ copy_m4_m2()

◆ copy_m4_m3()

◆ copy_m4_m4()

◆ copy_m4_m4_db()

◆ copy_m4d_m4()

◆ determinant_m2()

◆ determinant_m3()

◆ determinant_m3_array()

◆ determinant_m3_array_db()

◆ determinant_m4()

◆ determinant_m4_mat3_array()

◆ equals_m3m3()

◆ equals_m4m4()

◆ has_zero_axis_m4()

◆ interp_m3_m3m3()

◆ interp_m4_m4m4()

◆ invert_m2_m2()

◆ invert_m3()

◆ invert_m3_ex()

◆ invert_m3_m3()

◆ invert_m3_m3_ex()

◆ invert_m3_m3_safe_ortho()

◆ invert_m4()

◆ invert_m4_m4()

◆ invert_m4_m4_fallback()

◆ invert_m4_m4_safe()

◆ invert_m4_m4_safe_ortho()

◆ is_negative_m3()

◆ is_negative_m4()

◆ is_orthogonal_m3()