#include "BLI_math_matrix.h"
#include "BLI_math_rotation.h"
#include "BLI_math_solvers.h"
#include "BLI_math_vector.h"
#include "BLI_simd.hh"
#include "eigen_capi.h"
#include <cstring>
#include "BLI_strict_flags.h"

Functions
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_m4_m4_db (double m1[4][4], const double 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_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	copy_m3_m3d (float m1[3][3], const double m2[3][3])
void	swap_m4m4 (float m1[4][4], float m2[4][4])
void	shuffle_m4 (float R[4][4], const int index[4])
void	mul_m4_m4m4 (float R[4][4], const float A[4][4], const float B[4][4])
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	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_m3_m3m3 (float R[3][3], const float A[3][3], const float B[3][3])
void	mul_m4_m4m3 (float R[4][4], const float A[4][4], const float B[3][3])
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_m4_m3m4 (float R[4][4], const float A[3][3], const float B[4][4])
void	mul_m3_m4m4 (float R[3][3], const float A[4][4], const float B[4][4])
void	mul_v2_m3v2 (float r[2], const float m[3][3], const float v[2])
void	mul_m3_v2 (const float m[3][3], float r[2])
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_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_v4_m4v4 (float r[4], const float mat[4][4], const float v[4])
void	mul_m4_v4 (const float mat[4][4], float r[4])
void	mul_v4_m4v3 (float r[4], const float M[4][4], const float v[3])
void	mul_v3_m3v3 (float r[3], const float M[3][3], const float a[3])
void	mul_v3_m3v3_db (double r[3], const double M[3][3], const double a[3])
void	mul_v2_m3v3 (float r[2], const float M[3][3], const float a[3])
void	mul_m3_v3 (const float M[3][3], float r[3])
void	mul_m3_v3_db (const double M[3][3], double r[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_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])
void	add_m3_m3m3 (float R[3][3], const float A[3][3], const float B[3][3])
void	add_m4_m4m4 (float R[4][4], const float A[4][4], const float B[4][4])
void	madd_m3_m3m3fl (float R[3][3], const float A[3][3], const float B[3][3], const float f)
void	madd_m4_m4m4fl (float R[4][4], const float A[4][4], const float B[4][4], const float f)
void	sub_m3_m3m3 (float R[3][3], const float A[3][3], const float B[3][3])
float	determinant_m3_array (const float m[3][3])
float	determinant_m4_mat3_array (const float m[4][4])
bool	invert_m2_m2 (float inverse[2][2], const float mat[2][2])
bool	invert_m3 (float mat[3][3])
bool	invert_m3_m3 (float inverse[3][3], const float mat[3][3])
bool	invert_m4 (float mat[4][4])
bool	invert_m4_m4_fallback (float inverse[4][4], const float mat[4][4])
bool	invert_m4_m4 (float inverse[4][4], const float mat[4][4])
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	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	orthogonalize_m3 (float R[3][3], int axis)
void	orthogonalize_m4 (float R[4][4], int axis)
static void	orthogonalize_stable (float v1[3], float v2[3], float v3[3], bool normalize)
void	orthogonalize_m4_stable (float R[4][4], int axis, bool normalize)
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_identity_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	normalize_m2_m2 (float R[2][2], const float M[2][2])
void	normalize_m3 (float R[3][3])
void	normalize_m3_m3 (float R[3][3], const float M[3][3])
void	normalize_m4_ex (float R[4][4], float r_scale[3])
void	normalize_m4 (float R[4][4])
void	normalize_m4_m4 (float rmat[4][4], const float mat[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 (const float a, const float b, const float c, const 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_m4 (const float m[4][4])
void	size_to_mat3 (float R[3][3], const float size[3])
void	size_to_mat4 (float R[4][4], const float size[3])
void	mat3_to_size (float size[3], const float M[3][3])
void	mat4_to_size (float size[3], const float M[4][4])
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])
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])
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	scale_m3_fl (float R[3][3], float scale)
void	scale_m4_fl (float R[4][4], float scale)
void	translate_m4 (float mat[4][4], float Tx, float Ty, float Tz)
void	rotate_m4 (float mat[4][4], const char axis, const 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	blend_m3_m3m3 (float out[3][3], const float dst[3][3], const float src[3][3], const float srcweight)
void	blend_m4_m4m4 (float out[4][4], const float dst[4][4], const float src[4][4], const float srcweight)
void	interp_m3_m3m3 (float R[3][3], const float A[3][3], const float B[3][3], const float t)
void	interp_m4_m4m4 (float R[4][4], const float A[4][4], const float B[4][4], const float t)
bool	is_negative_m3 (const float mat[3][3])
bool	is_negative_m4 (const float mat[4][4])
bool	is_zero_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	loc_rot_size_to_mat4 (float R[4][4], const float loc[3], const float rot[3][3], const float size[3])
void	loc_eul_size_to_mat4 (float R[4][4], const float loc[3], const float eul[3], const float size[3])
void	loc_eulO_size_to_mat4 (float R[4][4], const float loc[3], const float eul[3], const float size[3], const short order)
void	loc_quat_size_to_mat4 (float R[4][4], const float loc[3], const float quat[4], const float size[3])
void	print_m3 (const char *str, const float m[3][3])
void	print_m4 (const char *str, 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	invert_m4_m4_safe (float inverse[4][4], const float mat[4][4])
void	BLI_space_transform_from_matrices (SpaceTransform *data, const float local[4][4], const float target[4][4])
void	BLI_space_transform_global_from_matrices (SpaceTransform *data, const float local[4][4], const float target[4][4])
void	BLI_space_transform_apply (const SpaceTransform *data, float co[3])
void	BLI_space_transform_invert (const SpaceTransform *data, float co[3])
void	BLI_space_transform_apply_normal (const SpaceTransform *data, float no[3])
void	BLI_space_transform_invert_normal (const SpaceTransform *data, float no[3])
Macro helpers for: mul_m3_series
void	_va_mul_m3_series_3 (float r[3][3], const float m1[3][3], const float m2[3][3])
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])
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])
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])
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])
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])
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])
Macro helpers for: mul_m4_series
void	_va_mul_m4_series_3 (float r[4][4], const float m1[4][4], const float m2[4][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])
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])
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])
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])
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])
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])
Orthogonalize Matrix Zeroed Axes
Set any zeroed axes to an orthogonal vector in relation to the other axes. Typically used so matrix inversion can be performed. Note If an object has a zero scaled axis, this function can be used to "clean" the matrix to behave as if the scale on that axis was unit_length. So it can be inverted or used in matrix multiply without creating degenerate matrices, see: #50103
static bool	orthogonalize_m3_zero_axes_impl (float *mat[3], const float unit_length)
bool	orthogonalize_m3_zero_axes (float m[3][3], const float unit_length)
bool	orthogonalize_m4_zero_axes (float m[4][4], const float unit_length)
Invert (Safe Orthographic)
Invert the matrix, filling in zeroed axes using the valid ones where possible. Unlike invert_m4_m4_safe set degenerate axis unit length instead of adding a small value, which has the results in: Scaling by a large value on the resulting matrix. Changing axis which aren't degenerate. Note We could support passing in a length value if there is a good use-case where we want to specify the length of the degenerate axes.
void	invert_m4_m4_safe_ortho (float inverse[4][4], const float mat[4][4])
void	invert_m3_m3_safe_ortho (float inverse[3][3], const float mat[3][3])

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 448 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 452 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 461 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 473 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 487 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 503 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 521 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 548 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 552 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 561 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 573 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 587 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 603 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 621 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 934 of file math_matrix_c.cc.

References A, B, i, 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 945 of file math_matrix_c.cc.

References A, B, i, 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 1775 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 1788 of file math_matrix_c.cc.

References BLI_assert, M, and R.

Referenced by adjoint_matrix_n(), and invert_m3_m3().

◆ adjoint_m4_m4()

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

Definition at line 1804 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],
		const float	srcweight )

Definition at line 2141 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(), out, quat_to_mat3(), and size_to_mat3().

Referenced by execute_posetree(), and Matrix_lerp().

◆ blend_m4_m4m4()

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

Definition at line 2167 of file math_matrix_c.cc.

References interp_qt_qtqt(), interp_v3_v3v3(), loc_quat_size_to_mat4(), mat3_normalized_to_quat_fast(), mat4_to_loc_rot_size(), and out.

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 SpaceTransform *	data,
		float	co[3] )

Definition at line 2945 of file math_matrix_c.cc.

References data, and mul_v3_m4v3().

◆ BLI_space_transform_apply_normal()

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

Definition at line 2955 of file math_matrix_c.cc.

References data, mul_mat3_m4_v3(), and normalize_v3().

◆ 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 2925 of file math_matrix_c.cc.

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

Referenced by shrinkwrap_get_tarmat().

◆ BLI_space_transform_global_from_matrices()

void BLI_space_transform_global_from_matrices	(	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 2935 of file math_matrix_c.cc.

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

Referenced by BKE_mesh_remap_find_best_match_from_mesh().

◆ BLI_space_transform_invert()

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

Definition at line 2950 of file math_matrix_c.cc.

References data, and mul_v3_m4v3().

◆ BLI_space_transform_invert_normal()

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

Definition at line 2961 of file math_matrix_c.cc.

References data, mul_mat3_m4_v3(), and normalize_v3().

◆ compare_m4m4()

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

Definition at line 1273 of file math_matrix_c.cc.

References compare_v4v4().

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

◆ copy_m2_m2()

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

Definition at line 68 of file math_matrix_c.cc.

Referenced by matrix_invert_safe_internal().

◆ copy_m3_m3()

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

Definition at line 73 of file math_matrix_c.cc.

◆ copy_m3_m3d()

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

Definition at line 166 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 89 of file math_matrix_c.cc.

◆ copy_m3d_m3()

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

Definition at line 128 of file math_matrix_c.cc.

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

◆ copy_m4_m3()

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

Definition at line 104 of file math_matrix_c.cc.

Referenced by blender::ed::object::apply_objects_internal(), applyarmature_set_edit_position(), blender::ed::transform::applyRotationMatrix(), blender::ed::transform::applyTrackballMatrix(), axis_angle_to_mat4(), axis_angle_to_mat4_single(), 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(), blender::ed::transform::calc_gizmo_stats(), 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_view3d_win_to_3d_on_plane_with_fallback(), eulO_to_mat4(), blender::ed::transform::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(), blender::ed::transform::resize_transform_matrix_fn(), splineik_evaluate_bone(), blender::ed::transform::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(), blender::ed::transform::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 79 of file math_matrix_c.cc.

◆ copy_m4_m4_db()

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

Definition at line 84 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 143 of file math_matrix_c.cc.

Referenced by lineart_object_load_single_instance(), and projmat_dimensions_db().

◆ determinant_m2()

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

Definition at line 1850 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 1855 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 989 of file math_matrix_c.cc.

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

◆ determinant_m4()

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

Definition at line 1866 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 996 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 2277 of file math_matrix_c.cc.

References equals_v3v3().

Referenced by gizmo_mesh_spin_init_draw_prepare(), blender::ed::transform::WIDGETGROUP_gizmo_draw_prepare(), blender::ed::transform::WIDGETGROUP_xform_cage_draw_prepare(), and blender::ed::transform::WIDGETGROUP_xform_shear_draw_prepare().

◆ equals_m4m4()

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

Definition at line 2283 of file math_matrix_c.cc.

References equals_v4v4().

Referenced by 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 2860 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 2194 of file math_matrix_c.cc.

References A, B, i, 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(), R, and U.

Referenced by blender::ed::transform::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 2239 of file math_matrix_c.cc.

References A, 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 1003 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] )

Definition at line 1019 of file math_matrix_c.cc.

References copy_m3_m3(), and invert_m3_m3().

Referenced by armature_calc_roll_exec(), armature_transform_recurse(), BLI_newton3d_solve(), bm_vert_pair_to_matrix(), BMD_mesh_intersection(), blender::ed::transform::calc_gizmo_stats(), blender::ed::transform::createSpaceNormalTangent_or_fallback(), blender::ed::transform::createTransSculpt(), edbm_extrude_repeat_exec(), EDBM_unified_findnearest_from_raycast(), blender::ed::transform::gizmo_3d_draw_invoke(), gizmo_axis_draw(), gizmo_cage2d_modal(), GPU_matrix_normal_get(), GPU_matrix_normal_inverse_get(), MOD_solidify_nonmanifold_modifyMesh(), move3d_get_translate(), multiresModifier_prepare_join(), blender::ed::object::new_primitive_matrix(), set_axis(), setup_vertex_point(), blender::nodes::node_shader_vector_rotate_cc::sh_node_vector_rotate_euler(), and blender::ed::transform::transform_convert_mesh_islands_calc().

◆ invert_m3_m3()

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

Definition at line 1028 of file math_matrix_c.cc.

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

◆ invert_m3_m3_safe_ortho()

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

Definition at line 2912 of file math_matrix_c.cc.

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

Referenced by blender::ed::object::lattice_add_to_selected_collect_targets_and_calc_bounds(), blender::ed::transform::ObjectToTransData(), blender::ed::transform::transform_orientations_current_set(), and blender::ed::transform::transformViewUpdate().

◆ invert_m4()

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

Definition at line 1054 of file math_matrix_c.cc.

References copy_m4_m4(), and invert_m4_m4().

Referenced by applyarmature_process_selected_recursive(), 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(), BKE_uvproject_camera_info(), bundle_midpoint(), camera_frame_fit_data_init(), blender::ed::object::data_xform_container_update_all(), ebone_spline_preview(), 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(), blender::ed::transform::pose_mirror_info_init(), set_axis(), set_plane_exec(), shrinkwrap_get_tarmat(), blender::ed::transform::snapsource_confirm(), warpModifier_do(), 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 1135 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 1063 of file math_matrix_c.cc.

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

Referenced by blender::ed::transform::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 2866 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 zeroed axis based on the non-zero ones.

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

Definition at line 2901 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 blender::ed::mesh::join_objects_exec().

◆ is_identity_m4()

bool is_identity_m4 ( const float m[4][4] )

Definition at line 1675 of file math_matrix_c.cc.

References col.

Referenced by blender::ed::object::childof_clear_inverse_poll(), and blender::ed::object::objectsolver_clear_inverse_poll().

◆ 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 2260 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(), 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 2265 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(), evil::DEG_iterator_temp_object_from_dupli(), ED_view3d_clipping_calc(), blender::io::stl::export_frame(), blender::draw::foreach_obref_in_scene(), 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(), uiTemplateInputStatus3DView(), and unwrap_exec().

◆ is_orthogonal_m3()

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

Definition at line 1611 of file math_matrix_c.cc.

References dot_v3v3(), fabsf, and i.

Referenced by draw_matrix_template(), 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 1626 of file math_matrix_c.cc.

References dot_v4v4(), fabsf, and i.

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 1641 of file math_matrix_c.cc.

References dot_v3v3(), fabsf, i, 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 1658 of file math_matrix_c.cc.

References dot_v4v4(), fabsf, i, 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 1688 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 1713 of file math_matrix_c.cc.

References copy_m3_m4(), and is_uniform_scaled_m3().

Referenced by BKE_curve_transform_ex().

◆ is_zero_m4()

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

Definition at line 2272 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_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 2299 of file math_matrix_c.cc.

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

Referenced by BKE_gpencil_layer_addnew(), blo_do_versions_290(), blender::ed::object::collection_drop_exec(), and greasepencil_copy_data().

◆ 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 2323 of file math_matrix_c.cc.

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

Referenced by 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 2345 of file math_matrix_c.cc.

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

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

◆ 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 2289 of file math_matrix_c.cc.

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

Referenced by geometry_attribute_evaluate(), blender::ed::space_node::gizmo_node_box_mask_prop_matrix_get(), blender::ed::space_node::gizmo_node_split_prop_matrix_get(), mul_m4_m4m4_aligned_scale(), mul_m4_m4m4_split_channels(), rotlike_evaluate(), and transform_evaluate().

◆ madd_m3_m3m3fl()

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

Definition at line 956 of file math_matrix_c.cc.

References A, B, i, and R.

Referenced by splineik_evaluate_bone().

◆ madd_m4_m4m4fl()

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

Definition at line 967 of file math_matrix_c.cc.

References A, B, i, 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 2039 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 1987 of file math_matrix_c.cc.

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

Referenced by blend_m3_m3m3(), mat4_to_loc_rot_size(), Matrix_to_scale(), and blender::ed::transform::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 1969 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 1934 of file math_matrix_c.cc.

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

Referenced by blender::ed::transform::apply_targetless_ik(), blender::ed::transform::ElementBoneSize(), blender::ed::transform::ElementResize(), orthogonalize_m3(), blender::ed::transform::transdata_elem_skin_resize(), and where_is_ik_bone().

◆ mat4_decompose()

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

Definition at line 2022 of file math_matrix_c.cc.

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

Referenced by draw_matrix_template(), 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 2010 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 1999 of file math_matrix_c.cc.

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

Referenced by BKE_object_apply_mat4_ex(), BKE_pchan_apply_mat4(), blend_m4_m4m4(), blender::io::alembic::copy_m44_axis_swap(), geometry_attribute_evaluate(), gizmo_cage2d_modal(), blender::ed::space_node::gizmo_node_box_mask_prop_matrix_get(), blender::ed::space_node::gizmo_node_box_mask_prop_matrix_set(), blender::ed::space_node::gizmo_node_split_prop_matrix_get(), mat4_decompose(), Matrix_decompose(), mul_m4_m4m4_aligned_scale(), mul_m4_m4m4_split_channels(), object_preview_camera_create(), blender::ed::transform::ObjectToTransData(), rotlike_evaluate(), and transform_evaluate().

◆ mat4_to_scale()

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

Definition at line 1978 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_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::ed::object::copy_transformed_radii(), 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(), 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 1953 of file math_matrix_c.cc.

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

Referenced by BKE_bone_parent_transform_calc_from_matrices().

◆ mat4_to_size_max_axis()

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

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.cc:99

mat3_to_size

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

Definition math_matrix_c.cc:1934

size

static DBVT_INLINE btScalar size(const btDbvtVolume &a)

Definition btDbvt.cpp:52

.. without 2x unnecessary sqrtf calls. Only the first 3 axes are used.

Definition at line 1948 of file math_matrix_c.cc.

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

◆ mat4_to_volume_scale()

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

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 1964 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().

◆ mul_m2_v2()

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

Definition at line 718 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 868 of file math_matrix_c.cc.

References i, and R.

Referenced by 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 305 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 300 of file math_matrix_c.cc.

References A, mul_m3_m3m3(), and R.

Referenced by blender::ed::transform::calc_gizmo_stats(), and blender::ed::transform::handle_armature_parent_orientation().

◆ mul_m3_m3m3()

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

Definition at line 310 of file math_matrix_c.cc.

References A, B, copy_m3_m3(), ELEM, mul_m3_m3m3(), R, and T.

◆ 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 357 of file math_matrix_c.cc.

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

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 381 of file math_matrix_c.cc.

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

Referenced by mul_m3_m4m3(), and blender::ed::transform::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 431 of file math_matrix_c.cc.

References A, B, and R.

Referenced by blender::ed::transform::gizmo_3d_draw_invoke(), snap_selected_to_location_rotation(), and splineik_evaluate_bone().

◆ mul_m3_v2()

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

Definition at line 657 of file math_matrix_c.cc.

References mul_v2_m3v2().

Referenced by blender::ed::transform::flushTransMasking(), gizmo_cage2d_modal(), 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 838 of file math_matrix_c.cc.

References M, and mul_v3_m3v3().

◆ mul_m3_v3_db()

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

Definition at line 843 of file math_matrix_c.cc.

References M, and mul_v3_m3v3_db().

Referenced by BLI_quadric_optimize().

◆ mul_m4_fl()

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

Definition at line 879 of file math_matrix_c.cc.

References i, and 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] )

◆ mul_m4_m4_post()

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

Definition at line 295 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 290 of file math_matrix_c.cc.

References A, 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 331 of file math_matrix_c.cc.

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

Referenced by applyarmature_adjust_edit_position(), convert_pose(), draw_bone_degrees_of_freedom(), draw_bone_update_disp_matrix_custom_shape(), mul_m4_m4m3(), set_axis(), and single_axis_convert().

◆ mul_m4_m4m4()

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

Definition at line 208 of file math_matrix_c.cc.

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

◆ 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 1146 of file math_matrix_c.cc.

References A, 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 1162 of file math_matrix_c.cc.

References A, 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(), geometry_attribute_evaluate(), and translike_evaluate().

◆ mul_m4_v3()

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

Definition at line 662 of file math_matrix_c.cc.

References M, x, and y.

◆ mul_m4_v4()

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

◆ 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 258 of file math_matrix_c.cc.

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

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 890 of file math_matrix_c.cc.

References i, and 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 723 of file math_matrix_c.cc.

References x, and y.

Referenced by armature_finalize_restpose(), armature_transform_recurse(), arrayModifier_doArray(), BKE_lattice_deform_data_create(), BKE_volume_density_scale(), BLI_space_transform_apply_normal(), BLI_space_transform_invert_normal(), BM_mesh_calc_uvs_cone(), brush_comb(), 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(), ED_view3d_win_to_delta(), edbm_dupli_extrude_cursor_invoke(), blender::ed::transform::ElementResize(), face_dupli(), get_effector_data(), blender::ed::sculpt_paint::trim::get_origin_and_normal(), blender::ed::transform::getTransformOrientation_ex(), blender::ed::transform::initShear_mouseInputMode(), Freestyle::BlenderFileLoader::insertShapeNode(), mat4_to_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 753 of file math_matrix_c.cc.

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

Referenced by blender::draw::drw_debug_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 848 of file math_matrix_c.cc.

References M, x, and y.

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

◆ mul_transposed_mat3_m4_v3()

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

Definition at line 858 of file math_matrix_c.cc.

References M, x, and y.

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 710 of file math_matrix_c.cc.

References x.

Referenced by blender::geometry::PackIsland::get_diagonal_support(), mul_m2_v2(), blender::geometry::PackIsland::place_(), blender::geometry::rotate_inside_square(), 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 644 of file math_matrix_c.cc.

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

Referenced by blender::ed::transform::MaskHandleToTransData(), blender::ed::transform::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 829 of file math_matrix_c.cc.

References copy_v3_v3(), and M.

Referenced by BKE_mesh_remap_calc_faces_from_mesh(), BLI_polyfill_edge_calc_rotate_beauty__area(), BLI_scanfill_calc_ex(), 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::geometry::ngon::calc_corner_tris(), 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 702 of file math_matrix_c.cc.

References x.

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 774 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 809 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(), blender::ed::transform::applyNormalRotation(), blender::ed::transform::applyTranslation(), blender::ed::transform::applyTranslationMatrix(), 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(), blender::ed::transform::bmesh_test_dist_add(), bmo_create_uvsphere_exec(), calc_deltas(), cloth_hair_update_bending_targets(), blender::io::obj::compute_world_axes_transform(), correctivesmooth_modifier_do(), deformVerts_do(), edbm_extrude_repeat_exec(), 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_acescg_to_scene_linear(), IMB_colormanagement_rec2020_to_scene_linear(), IMB_colormanagement_rec709_to_scene_linear(), IMB_colormanagement_scene_linear_to_aces(), IMB_colormanagement_scene_linear_to_acescg(), IMB_colormanagement_scene_linear_to_rec2020(), 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(), blender::ed::transform::initResize(), blender::bke::mesh_init_origspace(), MOD_solidify_nonmanifold_modifyMesh(), modify_mesh(), mul_m3_v3(), mul_v2_m3v2(), paintface_minmax(), blender::ed::transform::prop_dist_loc_get(), root_to_world_v3(), blender::io::ply::set_world_axes_transform(), snap_selected_to_location_rotation(), track_plane_from_existing_motion(), blender::ed::transform::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 819 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 672 of file math_matrix_c.cc.

References x, and y.

◆ mul_v3_m4v3_db()

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

Definition at line 682 of file math_matrix_c.cc.

References x, and y.

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 733 of file math_matrix_c.cc.

References x, and y.

Referenced by applyarmature_process_selected_recursive(), bone_length_squared_worldspace_get(), cast_ray_highpoly(), compute_bbone_segment_boundaries(), blender::ed::sculpt_paint::brushes::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(), lineart_main_get_view_vector(), move3d_get_translate(), blender::ed::object::object_origin_set_exec(), 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 743 of file math_matrix_c.cc.

References x, and y.

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 764 of file math_matrix_c.cc.

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

Referenced by dial_ghostarc_get_angles(), 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 800 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 691 of file math_matrix_c.cc.

References x, and y.

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 783 of file math_matrix_c.cc.

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

Referenced by calculate_reprojection_error_at_marker(), draw_tracking_tracks(), and mul_m4_v4().

◆ negate_m3()

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

Definition at line 901 of file math_matrix_c.cc.

References i, and R.

Referenced by BMD_mesh_intersection(), mat3_normalized_to_quat_with_checks(), mat3_to_rot_size(), 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 923 of file math_matrix_c.cc.

References i, and 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 912 of file math_matrix_c.cc.

References i, and R.

Referenced by gizmo_placement_prop_matrix_set().

◆ normalize_m2_m2()

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

Definition at line 1720 of file math_matrix_c.cc.

References i, M, normalize_v2_v2(), and R.

Referenced by Vector_rotate().

◆ normalize_m3()

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

Definition at line 1728 of file math_matrix_c.cc.

References i, normalize_v3(), and R.

◆ normalize_m3_m3()

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

Definition at line 1736 of file math_matrix_c.cc.

References i, M, normalize_v3_v3(), and R.

Referenced by blender::ed::transform::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_m4()

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

Definition at line 1754 of file math_matrix_c.cc.

References i, len, normalize_v3(), and R.

Referenced by BKE_bone_parent_transform_calc_from_matrices(), BKE_camera_multiview_model_matrix(), BKE_constraint_mat_convertspace(), BKE_pchan_bbone_segments_cache_compute(), BKE_pchan_bbone_spline_params_get(), BKE_uvproject_camera_info(), blender::ed::sculpt_paint::calc_brush_local_mat(), blender::ed::sculpt_paint::cloth::cloth_brush_apply_brush_forces(), contarget_get_mesh_mat(), convert_pose(), blender::ed::sculpt_paint::brushes::do_clay_thumb_brush(), blender::ed::sculpt_paint::brushes::do_multiplane_scrape_brush(), blender::ed::sculpt_paint::brushes::do_pinch_brush(), ED_view3d_draw_offscreen_imbuf_simple(), execute_posetree(), hair_create_input_mesh(), Matrix_normalize(), proj_paint_state_viewport_init(), and SCULPT_cube_tip_init().

◆ normalize_m4_ex()

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

Definition at line 1744 of file math_matrix_c.cc.

References i, 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 1765 of file math_matrix_c.cc.

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

Referenced by button2d_draw_intern(), camera_stereo3d_model_matrix(), ED_view3d_camera_lock_sync(), move3d_draw_intern(), blender::ed::object::object_transform_to_mouse_exec(), obmat_to_viewmat(), and WIDGETGROUP_light_target_draw_prepare().

◆ 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 1287 of file math_matrix_c.cc.

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

Referenced by v3d_cursor_poject_surface_normal(), and v3d_cursor_snap_update().

◆ orthogonalize_m3_zero_axes()

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

Definition at line 1598 of file math_matrix_c.cc.

References orthogonalize_m3_zero_axes_impl().

Referenced by invert_m3_m3_safe_ortho(), and blender::ed::transform::ObjectToTransData().

◆ orthogonalize_m3_zero_axes_impl()

bool orthogonalize_m3_zero_axes_impl	(	float *	mat[3],
		const float	unit_length )

static

Returns: true if any axis needed to be modified.

Definition at line 1541 of file math_matrix_c.cc.

References ATTR_FALLTHROUGH, BLI_assert_unreachable, cross_v3_v3v3(), ELEM, flag, i, len_squared_v3(), normalize_v3_length(), ortho_v3_v3(), UNLIKELY, X, Y, and Z.

Referenced by orthogonalize_m3_zero_axes(), and orthogonalize_m4_zero_axes().

◆ 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 1371 of file math_matrix_c.cc.

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

Referenced by blender::ed::transform::gizmo_refresh_from_matrix(), 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 1508 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],
		const float	unit_length )

Definition at line 1603 of file math_matrix_c.cc.

References orthogonalize_m3_zero_axes_impl().

Referenced by invert_m4_m4_safe_ortho().

◆ orthogonalize_stable()

void orthogonalize_stable	(	float	v1[3],
		float	v2[3],
		float	v3[3],
		bool	normalize )

static

Make an orthonormal basis around v1 in a way that is stable and symmetric.

Definition at line 1456 of file math_matrix_c.cc.

References acosf, angle(), copy_v3_v3(), cosf, cross_v3_v3v3(), dot_v3v3(), fabsf, float, len_squared_v3(), len_v3(), M_PI_2, madd_v3_v3fl(), mul_v3_fl(), mul_v3_v3fl(), normalize, normalize_v3(), normalize_v3_v3(), sinf, sqrtf, and v2.

Referenced by orthogonalize_m4_stable().

◆ print_m3()

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

Definition at line 2371 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 2380 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 )

Definition at line 2848 of file math_matrix_c.cc.

References copy_m3_m4(), copy_m4_m3(), inverse, invert_m3_m3(), and pseudoinverse_m4_m4().

◆ pseudoinverse_m4_m4()

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

Definition at line 2826 of file math_matrix_c.cc.

References A, i, inverse, mul_m4_series, svd_m4(), transpose_m4(), transpose_m4_m4(), U, 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] )

◆ 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 2083 of file math_matrix_c.cc.

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

Referenced by blender::ed::sculpt_paint::cursor_draw_point_with_symmetry(), blender::ed::transform::gizmo2d_xform_draw_prepare(), gizmo_cage2d_modal(), blender::draw::gpencil::gpencil_uv_transform_get(), 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 2058 of file math_matrix_c.cc.

References R.

Referenced by deform_matrices(), and deform_matrices_EM().

◆ scale_m4_fl()

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

Definition at line 2066 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(), blender::io::usd::USDTransformWriter::do_write(), draw_bone_degrees_of_freedom(), drw_shgroup_bone_envelope(), followpath_get_tarmat(), GPU_matrix_scale_1f(), ob_parcurve(), 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().

◆ shuffle_m4()

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

Build index shuffle matrix.

Definition at line 196 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 1901 of file math_matrix_c.cc.

References R, and size().

Referenced by blender::ed::transform::applyBoneSize(), blender::ed::transform::applyResize(), blender::ed::transform::applySkinResize(), BKE_object_scale_to_mat3(), BKE_pchan_to_mat4(), blend_m3_m3m3(), blender::ed::transform::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 1914 of file math_matrix_c.cc.

References R, and size().

Referenced by BKE_pchan_bbone_spline_compute(), BKE_texture_mapping_init(), camera_stereo3d_model_matrix(), blender::ed::transform::constraintScaleLim(), blender::io::alembic::copy_m44_axis_swap(), draw_bone_update_disp_matrix_bbone(), ED_view3d_cameracontrol_update(), make_duplis_particle_system(), 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 978 of file math_matrix_c.cc.

References A, B, i, 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().

◆ 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 2390 of file math_matrix_c.cc.

References A, b, copy_m4_m4(), e, eps, fabsf, hypotf, i, max_ff(), max_ii(), min_ii(), powf, sqrtf, U, V, zero_m4(), and zero_v4().

Referenced by pseudoinverse_m4_m4().

◆ swap_m4m4()

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

Definition at line 182 of file math_matrix_c.cc.

References i.

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 2127 of file math_matrix_c.cc.

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

Referenced by blender::ed::transform::applyRotationMatrix(), blender::ed::transform::applyTrackballMatrix(), bmo_rotate_exec(), ED_view3d_win_to_3d_on_plane_with_fallback(), gizmo_cage2d_modal(), gizmo_cage3d_modal(), and blender::ed::transform::resize_transform_matrix_fn().

◆ translate_m4()

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

Definition at line 2076 of file math_matrix_c.cc.

Referenced by BKE_pchan_minmax(), camera_stereo3d_model_matrix(), 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_custom_shape(), draw_bone_update_disp_matrix_default(), blender::ed::sculpt_paint::dyntopo::dyntopo_detail_size_edit_invoke(), followtrack_evaluate_using_3d_position_camera(), followtrack_evaluate_using_3d_position_object(), blender::draw::gpencil::gpencil_uv_transform_get(), GPU_matrix_translate_3f(), lookat_m4(), modify_mesh(), polarview_m4(), blender::ed::sculpt_paint::cloth::simulation_limits_draw(), blender::ed::sculpt_paint::transform_matrices_init(), 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 1180 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(), blender::ed::transform::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 1195 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 1210 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 1225 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(), 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(), and TEST().

◆ transpose_m4_m4()

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

Definition at line 1251 of file math_matrix_c.cc.

References BLI_assert, M, and R.

Referenced by dist_squared_to_projected_aabb_precalc(), and pseudoinverse_m4_m4().

◆ unit_m2()

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

Definition at line 35 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 42 of file math_matrix_c.cc.

◆ unit_m4()

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

Definition at line 50 of file math_matrix_c.cc.

◆ unit_m4_db()

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

Definition at line 59 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_m3()

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

Definition at line 25 of file math_matrix_c.cc.

Referenced by cross_identity_v3(), end_node_frames(), 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(), blender::ed::transform::transform_orientations_create_from_axis(), and vcloud_estimate_transform_v3().

◆ zero_m4()

void zero_m4 ( float m[4][4] )

Definition at line 30 of file math_matrix_c.cc.

Referenced by 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().

Functions

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_m3()

◆ copy_m3_m3d()

◆ copy_m3_m4()

◆ copy_m3d_m3()

◆ copy_m4_m3()

◆ copy_m4_m4()

◆ copy_m4_m4_db()

◆ copy_m4d_m4()

◆ determinant_m2()

◆ determinant_m3()

◆ determinant_m3_array()

◆ 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_m3()

◆ invert_m3_m3_safe_ortho()

◆ invert_m4()

◆ invert_m4_m4()

◆ invert_m4_m4_fallback()

◆ invert_m4_m4_safe()

◆ invert_m4_m4_safe_ortho()

◆ is_identity_m4()

◆ is_negative_m3()

◆ is_negative_m4()

◆ is_orthogonal_m3()

◆ is_orthogonal_m4()

◆ is_orthonormal_m3()

◆ is_orthonormal_m4()

◆ is_uniform_scaled_m3()

◆ is_uniform_scaled_m4()

◆ is_zero_m4()

◆ loc_eul_size_to_mat4()

◆ loc_eulO_size_to_mat4()

◆ loc_quat_size_to_mat4()

◆ loc_rot_size_to_mat4()

◆ madd_m3_m3m3fl()

◆ madd_m4_m4m4fl()

◆ mat3_polar_decompose()

◆ mat3_to_rot_size()

◆ mat3_to_scale()

◆ mat3_to_size()

◆ mat4_decompose()

◆ mat4_to_loc_quat()