BLI_math_base.h File Reference

#include "BLI_assert.h"
#include "BLI_math_inline.h"
#include "BLI_sys_types.h"
#include <math.h>
#include "intern/math_base_inline.c"

Go to the source code of this file.

Macros
#define	M_PI   3.14159265358979323846 /* pi */
#define	M_PI_2   1.57079632679489661923 /* pi/2 */
#define	M_PI_4   0.78539816339744830962 /* pi/4 */
#define	M_SQRT2   1.41421356237309504880 /* sqrt(2) */
#define	M_SQRT1_2   0.70710678118654752440 /* 1/sqrt(2) */
#define	M_SQRT3   1.73205080756887729352 /* sqrt(3) */
#define	M_SQRT1_3   0.57735026918962576450 /* 1/sqrt(3) */
#define	M_1_PI   0.318309886183790671538 /* 1/pi */
#define	M_E   2.7182818284590452354 /* e */
#define	M_LOG2E   1.4426950408889634074 /* log_2 e */
#define	M_LOG10E   0.43429448190325182765 /* log_10 e */
#define	M_LN2   0.69314718055994530942 /* log_e 2 */
#define	M_LN10   2.30258509299404568402 /* log_e 10 */
#define	NAN_FLT   (*((float *)(&NAN_INT)))
#define	BLI_ASSERT_UNIT_EPSILON   0.0002f
#define	BLI_ASSERT_UNIT_EPSILON_DB   0.0002
#define	BLI_ASSERT_UNIT_V3(v)
#define	BLI_ASSERT_UNIT_V3_DB(v)
#define	BLI_ASSERT_UNIT_V2(v)
#define	BLI_ASSERT_UNIT_QUAT(q)
#define	BLI_ASSERT_ZERO_M3(m)
#define	BLI_ASSERT_ZERO_M4(m)
#define	BLI_ASSERT_UNIT_M3(m)

Functions
MINLINE float	pow2f (float x)
MINLINE float	pow3f (float x)
MINLINE float	pow4f (float x)
MINLINE float	pow7f (float x)
MINLINE float	sqrt3f (float f)
MINLINE double	sqrt3d (double d)
MINLINE float	sqrtf_signed (float f)
MINLINE float	interpf (float target, float origin, float t)
MINLINE double	interpd (double target, double origin, double t)
MINLINE float	ratiof (float min, float max, float pos)
MINLINE double	ratiod (double min, double max, double pos)
MINLINE float	scalenorm (float a, float b, float x)
MINLINE double	scalenormd (double a, double b, double x)
MINLINE int	square_s (short a)
MINLINE int	square_uchar (unsigned char a)
MINLINE int	cube_s (short a)
MINLINE int	cube_uchar (unsigned char a)
MINLINE int	square_i (int a)
MINLINE unsigned int	square_uint (unsigned int a)
MINLINE float	square_f (float a)
MINLINE double	square_d (double a)
MINLINE int	cube_i (int a)
MINLINE unsigned int	cube_uint (unsigned int a)
MINLINE float	cube_f (float a)
MINLINE double	cube_d (double a)
MINLINE float	min_ff (float a, float b)
MINLINE float	max_ff (float a, float b)
MINLINE float	min_fff (float a, float b, float c)
MINLINE float	max_fff (float a, float b, float c)
MINLINE float	min_ffff (float a, float b, float c, float d)
MINLINE float	max_ffff (float a, float b, float c, float d)
MINLINE double	min_dd (double a, double b)
MINLINE double	max_dd (double a, double b)
MINLINE double	min_ddd (double a, double b, double c)
MINLINE double	max_ddd (double a, double b, double c)
MINLINE int	min_ii (int a, int b)
MINLINE int	max_ii (int a, int b)
MINLINE int	min_iii (int a, int b, int c)
MINLINE int	max_iii (int a, int b, int c)
MINLINE int	min_iiii (int a, int b, int c, int d)
MINLINE int	max_iiii (int a, int b, int c, int d)
MINLINE uint	min_uu (uint a, uint b)
MINLINE uint	max_uu (uint a, uint b)
MINLINE size_t	min_zz (size_t a, size_t b)
MINLINE size_t	max_zz (size_t a, size_t b)
MINLINE char	min_cc (char a, char b)
MINLINE char	max_cc (char a, char b)
MINLINE int	clamp_i (int value, int min, int max)
MINLINE float	clamp_f (float value, float min, float max)
MINLINE size_t	clamp_z (size_t value, size_t min, size_t max)
MINLINE int	compare_ff (float a, float b, float max_diff)
MINLINE uint	ulp_diff_ff (float a, float b)
MINLINE int	compare_ff_relative (float a, float b, float max_diff, int max_ulps)
MINLINE bool	compare_threshold_relative (float value1, float value2, float thresh)
MINLINE float	signf (float f)
MINLINE int	signum_i_ex (float a, float eps)
MINLINE int	signum_i (float a)
MINLINE float	power_of_2 (float f)
MINLINE int	integer_digits_f (float f)
MINLINE int	integer_digits_d (double d)
MINLINE int	integer_digits_i (int i)
MINLINE int	is_power_of_2_i (int n)
MINLINE unsigned int	log2_floor_u (unsigned int x)
MINLINE unsigned int	log2_ceil_u (unsigned int x)
MINLINE int	power_of_2_max_i (int n)
MINLINE int	power_of_2_min_i (int n)
MINLINE unsigned int	power_of_2_max_u (unsigned int x)
MINLINE unsigned int	power_of_2_min_u (unsigned int x)
MINLINE int	divide_round_i (int a, int b)
MINLINE uint	divide_ceil_u (uint a, uint b)
MINLINE uint64_t	divide_ceil_ul (uint64_t a, uint64_t b)
MINLINE uint	ceil_to_multiple_u (uint a, uint b)
MINLINE uint64_t	ceil_to_multiple_ul (uint64_t a, uint64_t b)
MINLINE int	mod_i (int i, int n)
MINLINE float	floored_fmod (float f, float n)
MINLINE float	round_to_even (float f)
MINLINE signed char	round_fl_to_char (float a)
MINLINE unsigned char	round_fl_to_uchar (float a)
MINLINE short	round_fl_to_short (float a)
MINLINE unsigned short	round_fl_to_ushort (float a)
MINLINE int	round_fl_to_int (float a)
MINLINE unsigned int	round_fl_to_uint (float a)
MINLINE signed char	round_db_to_char (double a)
MINLINE unsigned char	round_db_to_uchar (double a)
MINLINE short	round_db_to_short (double a)
MINLINE unsigned short	round_db_to_ushort (double a)
MINLINE int	round_db_to_int (double a)
MINLINE unsigned int	round_db_to_uint (double a)
MINLINE signed char	round_fl_to_char_clamp (float a)
MINLINE unsigned char	round_fl_to_uchar_clamp (float a)
MINLINE short	round_fl_to_short_clamp (float a)
MINLINE unsigned short	round_fl_to_ushort_clamp (float a)
MINLINE int	round_fl_to_int_clamp (float a)
MINLINE unsigned int	round_fl_to_uint_clamp (float a)
MINLINE signed char	round_db_to_char_clamp (double a)
MINLINE unsigned char	round_db_to_uchar_clamp (double a)
MINLINE short	round_db_to_short_clamp (double a)
MINLINE unsigned short	round_db_to_ushort_clamp (double a)
MINLINE int	round_db_to_int_clamp (double a)
MINLINE unsigned int	round_db_to_uint_clamp (double a)
int	pow_i (int base, int exp)
double	double_round (double x, int ndigits)
float	floor_power_of_10 (float f)
float	ceil_power_of_10 (float f)

Variables
static const int	NAN_INT = 0x7FC00000

Detailed Description

Abbreviations

• fl = float.
• db = double.
• v2 = vec2 = vector 2.
• v3 = vec3 = vector 3.
• v4 = vec4 = vector 4.
• vn = vec4q = vector N dimensions, *passed as an arg, after the vector*.. -qt=quat= quaternion. -dq=dquat= dual quaternion. -m2=mat2= matrix 2x2. -m3=mat3= matrix 3x3. -m4=mat4= matrix 4x4. -eul=eulerrotation. -eulO=eulerwith order. -plane=plane 4, (vec3, distance). -plane3=plane 3, (same as aplane` with a zero 4th component).

Function Type Abbreviations

For non float versions of functions (which typically operate on floats), use single suffix abbreviations.

• _d = double
• _i = int
• _u = unsigned int
• _char = char
• _uchar = unsigned char

Variable Names

• f = single value
• a, b, c = vectors
• r = result vector
• A, B, C = matrices
• R = result matrix

Definition in file BLI_math_base.h.

Macro Definition Documentation

BLI_ASSERT_UNIT_EPSILON

#define BLI_ASSERT_UNIT_EPSILON   0.0002f

Note

0.0001 is too small because normals may be converted from short's: see #34322.

Definition at line 381 of file BLI_math_base.h.

Referenced by axis_dominant_v3_to_m3(), axis_dominant_v3_to_m3_negate(), and quat_split_swing_and_twist().

BLI_ASSERT_UNIT_EPSILON_DB

#define BLI_ASSERT_UNIT_EPSILON_DB   0.0002

Definition at line 382 of file BLI_math_base.h.

BLI_ASSERT_UNIT_M3

#define BLI_ASSERT_UNIT_M3

(

m

)

Value:

    { \
      BLI_ASSERT_UNIT_V3((m)[0]); \
      BLI_ASSERT_UNIT_V3((m)[1]); \
      BLI_ASSERT_UNIT_V3((m)[2]); \
    } \
    (void)0

Definition at line 431 of file BLI_math_base.h.

Referenced by BKE_object_mat3_to_rot(), BKE_pchan_mat3_to_rot(), ED_armature_ebone_from_mat4(), mat3_normalized_to_eul2(), mat3_normalized_to_eulo2(), mat3_normalized_to_quat_fast(), and rotation_between_vecs_to_mat3().

BLI_ASSERT_UNIT_QUAT

#define BLI_ASSERT_UNIT_QUAT

(

q

)

Value:

    { \
      const float _test_unit = dot_qtqt(q, q); \
      BLI_assert(!(fabsf(_test_unit - 1.0f) >= BLI_ASSERT_UNIT_EPSILON * 10) || \
                 !(fabsf(_test_unit) >= BLI_ASSERT_UNIT_EPSILON * 10)); \
    } \
    (void)0

Definition at line 412 of file BLI_math_base.h.

Referenced by angle_normalized_qt(), angle_normalized_qtqt(), angle_signed_normalized_qt(), interp_qt_qtqt(), invert_qt_normalized(), pow_qt_fl_normalized(), quat_normalized_to_expmap(), quat_to_compatible_quat(), and WM_xr_session_state_nav_rotation_set().

BLI_ASSERT_UNIT_V2

#define BLI_ASSERT_UNIT_V2

(

v

)

Value:

    { \
      const float _test_unit = len_squared_v2(v); \
      BLI_assert(!(fabsf(_test_unit - 1.0f) >= BLI_ASSERT_UNIT_EPSILON) || \
                 !(fabsf(_test_unit) >= BLI_ASSERT_UNIT_EPSILON)); \
    } \
    (void)0

Definition at line 404 of file BLI_math_base.h.

Referenced by angle_normalized_v2v2(), interp_v2_v2v2_slerp(), project_plane_normalized_v2_v2v2(), project_v2_v2v2_normalized(), setCustomPointsFromDirection(), shell_v2v2_mid_normalized_to_dist(), shell_v2v2_normalized_to_dist(), snap_v2_angle(), and test_edges_isect_2d_ray().

BLI_ASSERT_UNIT_V3

#define BLI_ASSERT_UNIT_V3

(

v

)

Value:

    { \
      const float _test_unit = len_squared_v3(v); \
      BLI_assert(!(fabsf(_test_unit - 1.0f) >= BLI_ASSERT_UNIT_EPSILON) || \
                 !(fabsf(_test_unit) >= BLI_ASSERT_UNIT_EPSILON)); \
    } \
    (void)0

Note

Checks are flipped so NAN doesn't assert. This is done because we're making sure the value was normalized and in the case we don't want NAN to be raising asserts since there is nothing to be done in that case.

Definition at line 388 of file BLI_math_base.h.

Referenced by angle_normalized_v3v3(), axis_angle_normalized_to_mat3_ex(), axis_angle_normalized_to_quat(), axis_dominant_v3_to_m3(), axis_dominant_v3_to_m3_negate(), BLI_bvhtree_ray_cast_all_ex(), BLI_bvhtree_ray_cast_ex(), BM_mesh_edgeloops_calc_order(), closest_to_plane3_normalized_v3(), closest_to_plane_normalized_v3(), cubic_tangent_factor_circle_v3(), blender::ed::sculpt_paint::do_clay_brush(), ED_armature_ebone_roll_to_vector(), ED_transform_snap_object_project_view3d_ex(), blender::bke::mesh::face_normal_calc(), interp_v3_v3v3_slerp(), legacy_vec_roll_to_mat3_normalized(), mid_v3_v3v3_angle_weighted(), nearly_parallel_normalized(), project_plane_normalized_v3_v3v3(), project_v3_v3v3_normalized(), reflect_v3_v3v3(), rotate_normalized_v3_v3v3fl(), rotation_between_vecs_to_mat3(), shell_v3v3_mid_normalized_to_dist(), shell_v3v3_normalized_to_dist(), and vec_roll_to_mat3_normalized().

BLI_ASSERT_UNIT_V3_DB

#define BLI_ASSERT_UNIT_V3_DB

(

v

)

Value:

    { \
      const double _test_unit = len_squared_v3_db(v); \
      BLI_assert(!(fabs(_test_unit - 1.0) >= BLI_ASSERT_UNIT_EPSILON_DB) || \
                 !(fabs(_test_unit) >= BLI_ASSERT_UNIT_EPSILON_DB)); \
    } \
    (void)0

Definition at line 396 of file BLI_math_base.h.

Referenced by reflect_v3_v3v3_db().

BLI_ASSERT_ZERO_M3

#define BLI_ASSERT_ZERO_M3

(

m

)

Value:

    { \
      BLI_assert(dot_vn_vn((const float *)m, (const float *)m, 9) != 0.0); \
    } \
    (void)0

Definition at line 420 of file BLI_math_base.h.

BLI_ASSERT_ZERO_M4

#define BLI_ASSERT_ZERO_M4

(

m

)

Value:

    { \
      BLI_assert(dot_vn_vn((const float *)m, (const float *)m, 16) != 0.0); \
    } \
    (void)0

Definition at line 426 of file BLI_math_base.h.

Referenced by ED_view3d_check_mats_rv3d().

M_1_PI

#define M_1_PI   0.318309886183790671538 /* 1/pi */

Definition at line 79 of file BLI_math_base.h.

Referenced by blender::draw::edituv_get_edituv_stretch_angle(), blender::bke::tests::find_flip_boundary(), proj_paint_state_cavity_init(), and blender::draw::v2_to_short_angle().

M_E

#define M_E   2.7182818284590452354 /* e */

Definition at line 82 of file BLI_math_base.h.

M_LN10

#define M_LN10   2.30258509299404568402 /* log_e 10 */

Definition at line 94 of file BLI_math_base.h.

Referenced by soft_range_round_down(), and soft_range_round_up().

M_LN2

#define M_LN2   0.69314718055994530942 /* log_e 2 */

Definition at line 91 of file BLI_math_base.h.

Referenced by blend_read_mdisps(), bm_corners_to_loops_ex(), and power_of_2().

M_LOG10E

#define M_LOG10E   0.43429448190325182765 /* log_10 e */

Definition at line 88 of file BLI_math_base.h.

M_LOG2E

#define M_LOG2E   1.4426950408889634074 /* log_2 e */

Definition at line 85 of file BLI_math_base.h.

Referenced by imagewraposa_aniso().

M_PI

#define M_PI   3.14159265358979323846 /* pi */

Definition at line 58 of file BLI_math_base.h.

Referenced by blender::nodes::node_fn_align_euler_to_vector_cc::align_rotations_fixed_pivot(), blender::nodes::node_fn_align_rotation_to_vector_cc::align_rotations_fixed_pivot(), angle_normalized_v2v2(), angle_normalized_v3v3(), angle_poly_v3(), angle_quad_v3(), angle_signed_on_axis_normalized_v3v3_v3(), angle_signed_on_axis_v3v3_v3(), angle_tri_v3(), blender::geometry::angle_wrap(), angle_wrap_rad(), applyRotationValue(), axisProjection(), batch_sphere_wire(), BKE_kelvinlet_init_params(), BKE_mask_spline_project_co(), BKE_maskrasterize_handle_init(), BKE_pose_channel_ensure(), blend(), BLI_dial_angle(), BLI_easing_elastic_ease_in(), BLI_easing_elastic_ease_in_out(), BLI_easing_elastic_ease_out(), BLI_easing_sine_ease_in_out(), BLI_ewa_imp2radangle(), BLI_uvproject_from_camera(), blo_do_versions_250(), blo_do_versions_270(), BM_edges_sharp_from_angle_set(), bm_mesh_calc_uvs_sphere_face(), BM_mesh_wireframe(), BM_vert_calc_edge_angle_ex(), bmo_create_uvsphere_exec(), button2d_geom_draw_backdrop(), blender::ed::sculpt_paint::auto_mask::calc_brush_normal_factor(), calc_radial_symmetry_feather(), blender::ed::sculpt_paint::auto_mask::calc_view_normal_factor(), blender::geometry::calculate_angles(), blender::nodes::node_geo_mesh_primitive_ico_sphere_cc::calculate_bounds_ico_sphere(), blender::geometry::calculate_bounds_radial_primitive(), blender::geometry::calculate_bounds_uv_sphere(), blender::geometry::calculate_cone_uvs(), blender::geometry::calculate_cone_verts(), blender::bke::curves::poly::calculate_normals_minimum(), blender::geometry::calculate_sphere_vertex_data(), blender::nodes::node_shader_tex_gradient_cc::GradientFunction::call(), blender::nodes::node_shader_tex_wave_cc::WaveFunction::call(), check_zone(), circle_dashed_verts(), blender::eevee::circle_to_polygon_angle(), blender::eevee::circle_to_polygon_radius(), circle_verts(), clamp_angle(), compatible_eul(), blender::realtime_compositor::compute_exterior_angle(), compute_seam_normal(), blender::nodes::node_composite_glare_cc::GlareOperation::compute_streak_direction(), computeBindWeights(), Freestyle::GaussianFilter::computeMask(), blender::io::usd::USDMaterialReader::convert_usd_transform_2d(), blender::bke::mesh::corner_fan_space_define(), blender::bke::mesh::corner_space_custom_data_to_normal(), blender::bke::mesh::corner_space_custom_normal_to_data(), blender::nodes::node_geo_curve_primitive_arc_cc::create_arc_curve_from_points(), blender::nodes::node_geo_curve_primitive_arc_cc::create_arc_curve_from_radius(), blender::nodes::node_geo_mesh_primitive_circle_cc::create_circle_mesh(), blender::nodes::node_geo_curve_primitive_circle_cc::create_point_circle_curve(), blender::nodes::node_geo_curve_primitive_circle_cc::create_radius_circle_curve(), blender::nodes::node_geo_curve_primitive_spiral_cc::create_spiral_curve(), blender::nodes::node_geo_curve_primitive_star_cc::create_star_curve(), blender::io::usd::create_transform2d_shader(), blender::ed::sculpt_paint::cursor_draw_point_with_symmetry(), curve_bevel_make_full_circle(), curve_draw_exec(), blender::ed::curves::curve_draw_exec_precalc(), curve_draw_exec_precalc(), CURVE_OT_draw(), blender::ed::curves::curves_draw_exec(), blender::ed::curves::CURVES_OT_draw(), damptrack_do_transform(), blender::draw::DebugDraw::DebugDraw(), dial_3d_draw_util(), dial_geom_draw(), dial_ghostarc_draw(), dial_ghostarc_draw_incremental_angle(), dial_ghostarc_get_angles(), direction_to_equirect(), do_kink(), do_kink_spiral(), do_kink_spiral_deform(), blender::ed::sculpt_paint::do_radial_symmetry(), do_twist(), do_version_constraints_radians_degrees_250(), blender::io::usd::USDLightWriter::do_write(), doEdgeSplit(), blender::eevee::Sampling::dof_disk_sample_get(), blender::io::usd::dome_light_to_world_material(), draw_circle_in_quad(), DRW_cache_bone_dof_lines_get(), DRW_cache_bone_envelope_outline_get(), DRW_cache_bone_envelope_solid_get(), DRW_cache_bone_point_get(), DRW_cache_bone_point_wire_outline_get(), DRW_cache_bone_stick_get(), DRW_cache_circle_get(), DRW_cache_cursor_get(), DRW_cache_empty_capsule_cap_get(), DRW_cache_empty_cone_get(), DRW_cache_empty_cylinder_get(), DRW_cache_field_cone_limit_get(), DRW_cache_field_tube_limit_get(), DRW_cache_field_vortex_get(), DRW_cache_light_icon_sun_rays_get(), DRW_cache_light_spot_lines_get(), DRW_cache_light_spot_volume_get(), DRW_cache_particles_get_prim(), DRW_cache_speaker_get(), DRW_cache_sphere_get(), dvar_eval_rotDiff(), ED_anim_calculate_butterworth_coefficients(), ED_view3d_smooth_view_ex(), edbm_beautify_fill_exec(), edbm_fill_grid_vert_tag_angle(), edbm_spin_exec(), edge_face_angle(), edge_wind_vertex(), blender::bke::mesh::edges_sharp_from_angle_set(), blender::draw::edituv_get_edituv_stretch_angle(), blender::io::usd::ensure_root_prim(), euler_filter_single_channel(), blender::geometry::extend_curves_curved(), fcm_fn_generator_evaluate(), blender::workbench::filter_blackman_harris(), filter_gauss(), libmv::Gaussian(), libmv::Gaussian2D(), libmv::GaussianInversePositive(), blender::ed::greasepencil::generate_arc_from_point_to_point(), blender::ed::sculpt_paint::boundary::get_mesh_strength(), blender::RandomNumberGenerator::get_unit_float2(), blender::RandomNumberGenerator::get_unit_float3(), blender::nodes::node_geo_input_mesh_edge_angle_cc::SignedAngleFieldInput::get_varray_for_context(), blender::ed::space_node::viewer_linking::get_viewer_node_position_candidates(), Freestyle::AppView::GetFovyDegrees(), GHOST_Wintab::getInput(), GIZMO_GT_dial_3d(), gizmo_mesh_spin_init_draw_prepare(), gizmo_mesh_spin_init_setup(), gizmo_mesh_spin_redo_setup(), glow_blur_bitmap(), gpu_batch_sphere(), GPU_matrix_perspective_set(), slim::grad(), Freestyle::gts_vertex_gaussian_curvature(), icu_to_fcurves(), imm_draw_circle(), imm_draw_circle_3D(), imm_draw_circle_partial_3d(), imm_draw_cylinder_fill_3d(), imm_draw_cylinder_fill_normal_3d(), imm_draw_cylinder_wire_3d(), blender::io::hydra::LightData::init(), insert_seam_vert_array(), Freestyle::LanczosWindowed(), large_rotation_limit(), blender::eevee::light_local_tilemap_count(), light_power_get(), lineart_create_render_buffer_v3(), lineart_geometry_object_load(), blender::workbench::SceneResources::load_jitter_tx(), make_unit_square_map(), map_to_sphere(), map_to_tube(), blender::bke::mesh_sharp_edges_set_from_angle(), mesh_uv_reset_array(), mix_normals(), MOD_lineart_chain_split_angle(), MOD_solidify_extrude_modifyMesh(), MOD_solidify_nonmanifold_modifyMesh(), modify_mesh(), modify_mesh(), nearly_parallel(), blender::nodes::node_geo_curve_primitive_arc_cc::node_declare(), blender::nodes::node_shader_bsdf_hair_principled_cc::node_declare(), blender::nodes::node_shader_tex_sky_cc::node_shader_gpu_tex_sky(), blender::ed::space_node::node_update_hidden(), normalEditModifier_do(), libmv::NRealisticCamerasFull(), libmv::NRealisticCamerasSparse(), object_preview_camera_create(), offset_meet(), offset_meet_edge(), op_degrees(), op_radians(), blender::bke::pbvh::uv_islands::UVBorder::outside_angle(), blender::geometry::p_abf_adjust_alpha(), blender::geometry::p_abf_compute_gradient(), blender::geometry::p_chart_abf_solve(), blender::geometry::p_chart_correct_degenerate_triangle_point(), blender::geometry::p_chart_correct_degenerate_triangles2(), blender::geometry::p_chart_minimum_area_angle(), blender::geometry::p_chart_stretch_minimize(), blender::geometry::p_edge_boundary_angle(), blender::ed::sculpt_paint::paint_brush_update(), paint_calculate_rake_rotation(), blender::ed::sculpt_paint::paint_stroke_curve_end(), blender::ed::sculpt_paint::paint_stroke_line_constrain(), point_between_edges(), precalc_wipe_zone(), blender::ed::curves::primitive_random_sphere(), psys_get_birth_coords(), psys_get_dupli_path_transform(), quad_calc_error(), radial_control_modal(), RE_filter_value(), blender::io::usd::USDLightReader::read_object_data(), blender::eevee::regular_polygon_side_length(), RNA_api_mesh(), rna_def_bone_curved_common(), rna_def_brush(), rna_def_brush_texture_slot(), RNA_def_camera(), rna_def_camera_dof_settings_data(), rna_def_constraint_kinematic(), rna_def_constraint_rotation_limit(), rna_def_curve_paint_settings(), rna_def_edit_bone(), rna_def_gpencil_guides(), rna_def_modifier_grease_pencil_simplify(), rna_def_modifier_screw(), rna_def_pose_channel(), rna_def_rigidbody_constraint(), rna_def_sculpt(), rna_def_space_view3d_shading(), rna_def_text(), Freestyle::NodeTransform::Rotate(), rotate(), rotation_between_vecs_to_quat(), RotationBetween(), sabin_gamma(), safe_acos(), blender::eevee::Sampling::sample_ball(), blender::eevee::Sampling::sample_disk(), blender::eevee::Sampling::sample_hemisphere(), blender::eevee::Sampling::sample_sphere(), blender::ed::sculpt_paint::DensityAddOperationExecutor::sample_spherical_with_symmetry(), blender::eevee::Sampling::sample_spiral(), blender::bke::mesh_surface_sample::sample_surface_points_projected(), blender::bke::mesh_surface_sample::sample_surface_points_spherical(), select_similar_direction(), set_boid_values(), blender::io::usd::USDTransformWriter::set_xform_ops(), Freestyle::FEdgeXDetector::setCreaseAngle(), IK_QElbowSegment::SetLimit(), IK_QRevoluteSegment::SetLimit(), IK_QSphericalSegment::SetLimit(), IK_QSwingSegment::SetLimit(), blender::draw::overlay::ShapeCache::ShapeCache(), similar_edge_select_exec(), similar_face_select_exec(), similar_vert_select_exec(), sin_cos_from_fraction(), sinc(), blender::nodes::node_shader_tex_sky_cc::sky_precompute_old(), libmv::SolveCubicPolynomial(), sphclassical_density_accum_cb(), sphclassical_force_cb(), sphere_wire_vbo(), blender::draw::statvis_calc_overhang(), blender::draw::statvis_calc_sharp(), Freestyle::SteerableViewMap::SteerableViewMap(), stencil_control_calculate(), stitch_calculate_island_snapping(), HdCyclesLight::Sync(), blender::math::tests::TEST(), blender::math::tests::TEST(), blender::math::tests::TEST(), blender::tests::TEST(), blender::tests::TEST(), blender::tests::TEST(), TEST(), TEST(), test_sin_cos_from_fraction_accuracy(), tex_saw(), tex_tri(), TRANSFORM_OT_bend(), TRANSFORM_OT_rotate(), TRANSFORM_OT_rotate_normal(), TRANSFORM_OT_tilt(), tri_corner_test(), ui_draw_but_HSVCIRCLE(), ui_draw_pie_center(), ui_hsvcircle_pos_from_vals(), ui_hsvcircle_vals_from_pos(), ui_numedit_but_UNITVEC(), blender::compositor::KuwaharaAnisotropicOperation::update_memory_buffer_partial(), updateDuplicateKinematicConstraintSettings(), uv_image_outset(), uv_map_rotation_matrix_ex(), vectorscope_draw_target(), vfont_to_curve(), view_axis_exec(), vieworbit_exec(), viewrotate_apply(), vpaint_do_radial_symmetry(), WM_event_drag_direction(), wn_corner_angle(), wn_face_with_angle(), blender::io::usd::world_material_to_dome_light(), wpaint_do_radial_symmetry(), and wrap_rad_angle().

M_PI_2

#define M_PI_2   1.57079632679489661923 /* pi/2 */

Definition at line 61 of file BLI_math_base.h.

Referenced by blender::geometry::angle_wrap(), axis_angle_to_gimbal_axis(), axisProjection(), Bend(), bevel_quarter_fill(), BKE_mask_spline_project_co(), BLI_dial_angle(), BLI_easing_sine_ease_in(), BLI_easing_sine_ease_out(), blo_do_versions_290(), bm_edge_is_delimit(), bmo_dissolve_limit_exec(), calc_bevel_sin_cos(), calc_solidify_normals(), blender::nodes::node_shader_tex_wave_cc::WaveFunction::call(), compatible_eul(), blender::realtime_compositor::compute_rotation(), computeAngularWeight(), computeBindWeights(), blender::io::usd::convert_to_z_up(), blender::nodes::node_geo_mesh_primitive_cube_cc::create_cube_mesh(), curve_nurb_select_similar_type(), curveprofile_build_supports(), damptrack_do_transform(), def_sh_tex_sky(), blender::deform_drawing(), dial_ghostarc_get_angles(), do_kink_spiral_deform(), do_vert_pair(), blender::io::alembic::ABCTransformWriter::do_write(), ED_armature_ebone_roll_to_vector(), fcm_fn_generator_evaluate(), find_even_superellipse_chords(), GHOST_Wintab::getInput(), gpencil_light_pool_populate(), imm_draw_circle_partial(), imm_draw_disk_partial(), imm_draw_disk_partial_3d(), blender::io::obj::OBJImportTest::import_and_check(), blender::io::stl::stl_importer_test::import_and_check(), init_data(), make_bevel_list_2D(), mball_select_similar_type(), blender::nodes::node_shader_bsdf_hair_cc::node_declare(), blender::nodes::node_shader_bsdf_hair_principled_cc::node_declare(), blender::nodes::node_shader_tex_sky_cc::node_shader_gpu_tex_sky(), blender::ed::sculpt_paint::greasepencil::RandomizeOperation::on_stroke_extended(), orthogonalize_stable(), OVERLAY_edit_metaball_cache_populate(), blender::geometry::p_chart_minimum_area_angle(), project_state_init(), quad_calc_error(), blender::io::alembic::AbcObjectReader::read_matrix(), rna_def_brush(), rna_def_camera_stereo_data(), rna_def_gpencil_options(), blender::ed::object::rotation_from_quat(), SCULPT_tilt_apply_to_normal(), blender::io::alembic::AbcObjectReader::setupObjectTransform(), Freestyle::WOEdge::setVecAndAngle(), blender::draw::overlay::ShapeCache::ShapeCache(), splineik_evaluate_bone(), stitch_calculate_island_snapping(), stretchto_evaluate(), surface_determineForceTargetPoints(), blender::eevee::Camera::sync(), blender::bke::tests::TEST(), blender::math::tests::TEST(), blender::math::tests::TEST(), blender::tests::TEST(), blender::tests::TEST(), blender::tests::TEST(), blender::tests::TEST(), tri_corner_test(), ui_draw_pie_center(), UI_fontstyle_draw_rotated(), ui_hsvcircle_pos_from_vals(), UI_panel_category_draw_all(), UnitConverter::UnitConverter(), update_wave_node_directions_and_offset(), uv_image_outset(), vectorscope_draw_target(), view3d_orbit_apply_dyn_ofs_ortho_correction(), blender::ed::sculpt_paint::vwpaint::view_angle_limits_init(), view_axis_exec(), view_roll_angle(), blender::ed::object::volume_import_exec(), VoronoiVertexWeight::VoronoiVertexWeight(), wm_xr_session_base_pose_calc(), and blender::write_weights_for_drawing().

M_PI_4

#define M_PI_4   0.78539816339744830962 /* pi/4 */

Definition at line 64 of file BLI_math_base.h.

Referenced by blo_do_versions_280(), do_versions_after_linking_400(), ed_editnurb_spin(), ED_view3d_quat_to_axis_view(), light_blend_write(), blender::geometry::p_chart_minimum_area_angle(), blender::ed::sculpt_paint::paint_stroke_line_constrain(), rna_def_cloth_sim_settings(), rna_def_rigidbody_constraint(), Freestyle::OGF::MatrixUtil::semi_definite_symmetric_eigen(), blender::workbench::square_to_circle(), blender::io::alembic::TEST(), blender::io::alembic::TEST(), blender::tests::TEST(), tri_corner_test(), and ui_draw_pie_center().

M_SQRT1_2

#define M_SQRT1_2   0.70710678118654752440 /* 1/sqrt(2) */

Definition at line 70 of file BLI_math_base.h.

Referenced by DRW_globals_update(), gizmo_3d_setup_default_matrix(), mat4_to_xy_scale(), move_geom_draw(), blender::eevee::Film::pixel_jitter_get(), quat_apply_track(), blender::eevee::IrradianceBake::raylists_build(), blender::io::alembic::TEST(), blender::io::alembic::TEST(), blender::tests::TEST(), blender::tests::TEST(), ui_but_isect_pie_seg(), blender::compositor::DespeckleOperation::update_memory_buffer_partial(), and blender::compositor::KuwaharaAnisotropicOperation::update_memory_buffer_partial().

M_SQRT1_3

#define M_SQRT1_3   0.57735026918962576450 /* 1/sqrt(3) */

Definition at line 76 of file BLI_math_base.h.

Referenced by blo_do_versions_280(), blo_update_defaults_scene(), make_cube_corner_adj_vmesh(), mat3_to_scale(), mat4_to_scale(), and blender::modify_drawing().

M_SQRT2

#define M_SQRT2   1.41421356237309504880 /* sqrt(2) */

Definition at line 67 of file BLI_math_base.h.

Referenced by blender::draw::overlay::MeshUVs::begin_sync(), BKE_screen_view3d_zoom_from_fac(), BKE_screen_view3d_zoom_to_fac(), calctrackballvec(), blender::ed::sculpt_paint::do_brush_action(), blender::ed::greasepencil::image_render::draw_dot(), drawArrow(), DRW_globals_update(), ED_curve_add_nurbs_primitive(), ed_editnurb_spin(), EDBM_preselect_edgering_draw(), find_even_superellipse_chords(), find_even_superellipse_chords_general(), find_superellipse_chord_endpoint(), layer_bucket_init(), make_cube_corner_square_in(), OVERLAY_edit_uv_cache_init(), quat_to_mat3_no_error(), quat_to_mat4(), target_project_tri_correct(), and blender::tests::TEST().

M_SQRT3

#define M_SQRT3   1.73205080756887729352 /* sqrt(3) */

Definition at line 73 of file BLI_math_base.h.

Referenced by BKE_gpencil_stroke_smooth_point(), blo_do_versions_270(), dm_mvert_map_doubles(), blender::geometry::gaussian_blur_1D(), and sabin_gamma().

NAN_FLT

#define NAN_FLT   (*((float *)(&NAN_INT)))

Definition at line 101 of file BLI_math_base.h.

Referenced by bezier_handle_calc_smooth_fcurve(), BKE_sound_sync_scene(), and blender::draw::Texture::debug_clear().

Function Documentation

ceil_power_of_10()

float ceil_power_of_10

(

float

f

)

Ceiling to the nearest power of 10, e.g.:

• 15.0 -> 100.0
• 0.015 -> 0.1
• 1.0 -> 1.0

Parameters

f	Value to ceiling, must be over 0.0.

Note

If we wanted to support signed values we could if this becomes necessary.

Definition at line 74 of file math_base.c.

References BLI_assert, floorf, and powf.

Referenced by blender::tests::TEST(), and v3d_cursor_plane_draw().

ceil_to_multiple_u()

MINLINE uint ceil_to_multiple_u	(	uint	a,
		uint	b )

Returns a if it is a multiple of b or the next multiple or b after a.

Definition at line 298 of file math_base_inline.c.

References b, and divide_ceil_u().

Referenced by blender::gpu::MTLIndexBuf::bind_as_ssbo(), blender::gpu::MTLVertBuf::bind_as_ssbo(), blender::draw::View::compute_visibility(), blender::draw::select::SelectMap::end_sync(), blender::eevee::LightModule::end_sync(), blender::eevee::VelocityModule::end_sync(), blender::eevee::IrradianceBake::raylists_build(), blender::eevee::RayTraceModule::render(), blender::eevee::SubsurfaceModule::render(), and blender::draw::test_eevee_surfel_list().

ceil_to_multiple_ul()

MINLINE uint64_t ceil_to_multiple_ul	(	uint64_t	a,
		uint64_t	b )

Definition at line 303 of file math_base_inline.c.

References b, and divide_ceil_ul().

Referenced by blender::gpu::MTLBufferPool::allocate_aligned(), blender::gpu::MTLCircularBuffer::allocate_range_aligned(), blender::gpu::GLIndexBuf::bind(), blender::gpu::GLVertBuf::bind(), GPU_pixel_buffer_create(), blender::gpu::MTLTexture::init_internal(), and blender::gpu::MTLBuffer::MTLBuffer().

clamp_f()

MINLINE float clamp_f	(	float	value,
		float	min,
		float	max )

Definition at line 544 of file math_base_inline.c.

References max, and min.

Referenced by blender::apply_color_factor(), apply_sculpt_data_constraints(), BKE_curvemapping_integrate_clamped(), BKE_curveprofile_update(), BKE_where_on_path(), BM_mesh_intersect(), bpy_bm_utils_edge_split(), bpy_bm_utils_vert_collapse_faces(), bpy_bmdeformvert_ass_subscript(), bpy_bmvert_copy_from_vert_interp(), blender::nodes::node_shader_tex_brick_cc::BrickFunction::brick(), butterworth_calculate_blend_value(), blender::eevee::calc_level_of_detail(), blender::nodes::node_shader_mix_rgb_cc::MixRGBFunction::call(), blender::eevee::Sampling::cdf_invert(), blender::ed::sculpt_paint::expand::colors_update_task(), blender::nodes::node_composite_lensdist_cc::LensDistortionOperation::compute_chromatic_distortion(), blender::compositor::TimeNode::convert_to_operations(), blender::bke::pbvh::pixels::Rows::determine_mix_factor(), do_clump_level(), blender::bke::pbvh::pixels::do_encode_pixels(), do_rough_curve(), draw_main_line(), draw_seq_waveform_overlay(), drw_shgroup_bone_envelope(), blender::ed::sculpt_paint::dyntopo::dyntopo_detail_size_sample_from_surface(), blender::ed::sculpt_paint::dyntopo::dyntopo_detail_size_update_from_mouse_delta(), ED_slider_factor_set(), blender::nodes::node_composite_time_curves_cc::TimeCurveOperation::execute(), blender::workbench::filter_blackman_harris(), float_to_half_safe(), blender::nodes::node_composite_lensdist_cc::LensDistortionOperation::get_dispersion(), blender::nodes::node_composite_lensdist_cc::LensDistortionOperation::get_distortion(), get_seq_strip_thumbnails(), gizmo_spot_blend_prop_matrix_set(), gpencil_layer_final_tint_and_alpha_get(), GPENCIL_render_init(), grease_pencil_layer_final_tint_and_alpha_get(), IMB_gpu_clamp_half_float(), blender::eevee::Film::init(), blender::workbench::ShadowPass::init(), blender::ed::seq::init_wave_table(), blender::workbench::SceneResources::load_jitter_tx(), loopcut_modal(), MOD_solidify_extrude_modifyMesh(), MOD_solidify_nonmanifold_modifyMesh(), blender::geometry::p_abf_adjust_alpha(), blender::ed::sculpt_paint::paint_cursor_draw_main_inactive_cursor(), blender::ed::sculpt_paint::paint_draw_3D_view_inactive_brush_cursor(), radial_control_modal(), blender::ed::seq::rgb_to_uv_normalized(), rotlimit_evaluate(), scrollbar_keep_scrolling(), scrollbar_set_thumbpos(), scrollbar_start_scrolling(), SEQ_give_frame_index(), blender::nodes::node_shader_clamp_cc::sh_node_clamp_build_multi_function(), shader_node_disconnect_inactive_mix_branch(), blender::ed::object::shape_key_clear_exec(), slider_update_factor(), smootherstep(), blender::eevee::DepthOfField::sync(), blender::workbench::AntiAliasingPass::sync(), ui_colorpicker_wheel_cb(), ui_do_but_COLOR(), ui_do_but_HSVCIRCLE(), ui_hsvcircle_pos_from_vals(), UI_view2d_dot_grid_draw(), blender::ed::sculpt_paint::expand::update_mask_bmesh(), blender::ed::sculpt_paint::expand::update_mask_grids(), blender::geometry::uv_parametrizer_average(), vfont_to_curve(), view_zoom_to_window_xy_camera(), view_zoomdrag_invoke(), view_zoomdrag_modal(), blender::ed::object::voxel_size_edit_draw(), and blender::ed::object::voxel_size_edit_modal().

clamp_i()

MINLINE int clamp_i	(	int	value,
		int	min,
		int	max )

Definition at line 539 of file math_base_inline.c.

References max_ii(), min, and min_ii().

Referenced by blender::ed::sculpt_paint::aa_samples_per_texel_axis(), add_v3_uchar_clamped(), BKE_object_material_get_eval(), BKE_object_material_get_p(), BKE_tracking_marker_get(), BKE_volume_grid_active_get_for_read(), calculate_fpt_bounds(), blender::gpu::convert(), do_adjustment_impl(), draw_text_outline(), blender::eevee::VolumeModule::end_sync(), blender::ed::seq::get_bin_float(), get_bounding_bezt_index_range(), get_bounding_bezt_indices(), blender::eevee::ShadowModule::init(), blender::eevee::VolumeModule::init(), blender::nodes::node_geo_mesh_subdivide_cc::node_geo_exec(), playanim_change_frame(), blender::ed::sculpt_paint::face_set::randomize_colors_exec(), RE_bake_pixels_populate(), scrollbar_get_thumbH(), twist_get_axis(), ui_do_drag(), UI_panel_category_draw_all(), blender::gpu::VKFrameBuffer::vk_render_areas_get(), and volume_sequence_frame().

clamp_z()

MINLINE size_t clamp_z	(	size_t	value,
		size_t	min,
		size_t	max )

Definition at line 555 of file math_base_inline.c.

References max_zz(), min, and min_zz().

compare_ff()

MINLINE int compare_ff	(	float	a,
		float	b,
		float	max_diff )

Almost-equal for IEEE floats, using absolute difference method.

Parameters

max_diff

the maximum absolute difference.

Definition at line 560 of file math_base_inline.c.

References b, and fabsf.

Referenced by aggregate_item_normal(), BKE_keyblock_add_ctime(), BM_lnorspace_err(), cloth_from_object(), compare_v2v2(), compare_v3v3(), compare_v4v4(), curvemap_make_table(), edbm_average_normals_exec(), blender::animrig::Action::has_single_frame(), nearly_parallel_normalized(), next_edgehalf_bev(), tri_corner_test(), blender::nodes::node_geo_transform_geometry_cc::use_translate(), and wm_gesture_straightline_do_angle_snap().

compare_ff_relative()

MINLINE int compare_ff_relative	(	float	a,
		float	b,
		float	max_diff,
		int	max_ulps )

Almost-equal for IEEE floats, using their integer representation (mixing ULP and absolute difference methods).

Parameters

max_diff	is the maximum absolute difference (allows to take care of the near-zero area, where relative difference methods cannot really work).
max_ulps	is the 'maximum number of floats + 1' allowed between a and b to consider them equal.

See also

https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/

Definition at line 598 of file math_base_inline.c.

References b, BLI_assert, fabsf, and ulp_diff_ff().

Referenced by blender::ed::object::apply_objects_internal(), BKE_bezier_array_merge(), compare_v2_classify(), compare_v2v2_relative(), compare_v3v3_relative(), compare_v4v4_relative(), fcurve_is_changed(), blender::geometry::is_larger(), mesh_calc_eigen_matrix(), blender::animrig::new_key_needed(), blender::tests::TEST(), blender::tests::TEST(), and vfont_to_curve().

compare_threshold_relative()

MINLINE bool compare_threshold_relative	(	float	value1,
		float	value2,
		float	thresh )

Definition at line 609 of file math_base_inline.c.

References fabsf.

Referenced by blender::bke::compare_meshes::values_different().

cube_d()

MINLINE double cube_d

(

double

a

)

Definition at line 397 of file math_base_inline.c.

cube_f()

MINLINE float cube_f

(

float

a

)

Definition at line 392 of file math_base_inline.c.

Referenced by ui_numedit_begin(), ui_numedit_but_SLI(), and widget_numslider().

cube_i()

MINLINE int cube_i

(

int

a

)

Definition at line 377 of file math_base_inline.c.

Referenced by BKE_lightprobe_grid_cache_frame_sample_count().

cube_s()

MINLINE int cube_s

(

short

a

)

Definition at line 372 of file math_base_inline.c.

cube_uchar()

MINLINE int cube_uchar

(

unsigned char

a

)

Definition at line 387 of file math_base_inline.c.

cube_uint()

MINLINE unsigned int cube_uint

(

unsigned int

a

)

Definition at line 382 of file math_base_inline.c.

divide_ceil_u()

MINLINE uint divide_ceil_u	(	uint	a,
		uint	b )

Integer division that returns the ceiling, instead of flooring like normal C division.

Definition at line 288 of file math_base_inline.c.

References b.

Referenced by blender::draw::command::DrawMultiBuf::bind(), buffer_size_from_list(), ceil_to_multiple_u(), blender::draw::View::compute_visibility(), ED_fileselect_init_layout(), blender::draw::Manager::end_sync(), blender::eevee::LightModule::end_sync(), blender::eevee::ShadowModule::end_sync(), blender::eevee::VolumeModule::end_sync(), blender::draw::extract_positions_subdiv(), blender::eevee::VelocityModule::geometry_steps_fill(), blender::draw::get_dispatch_size(), blender::gpu::tests::gpu_shader_lib_test(), blender::eevee::Film::init(), blender::eevee::Sampling::init(), blender::eevee::ShadowModule::init(), blender::eevee::VolumeProbeModule::init(), blender::nodes::node_shader_ambient_occlusion_cc::node_shader_gpu_ambient_occlusion(), blender::eevee::IrradianceBake::raylists_build(), blender::draw::Manager::submit_debug(), blender::eevee::IrradianceBake::surfels_create(), blender::gpu::MTLTexture::update_sub(), blender::gpu::VKTexture::update_sub(), and blender::draw::View::visibility_word_per_draw().

divide_ceil_ul()

MINLINE uint64_t divide_ceil_ul	(	uint64_t	a,
		uint64_t	b )

Definition at line 293 of file math_base_inline.c.

References b.

Referenced by ceil_to_multiple_ul(), and blender::eevee::ShadowModule::init().

divide_round_i()

MINLINE int divide_round_i	(	int	a,
		int	b )

Integer division that rounds 0.5 up, particularly useful for color blending with integers, to avoid gradual darkening when rounding down.

Definition at line 272 of file math_base_inline.c.

References b.

Referenced by blend_color_add_alpha_byte(), blend_color_add_byte(), blend_color_darken_byte(), blend_color_erase_alpha_byte(), blend_color_interpolate_byte(), blend_color_lighten_byte(), blend_color_mix_byte(), blend_color_mul_byte(), blend_color_sub_byte(), blender::color::ByteTraits::divide_round(), and IMB_rectblend().

double_round()

double double_round	(	double	x,
		int	ndigits )

Parameters

ndigits

must be between 0 and 21.

Definition at line 28 of file math_base.c.

References fabs(), pow(), x, y, and z().

Referenced by bc_sanitize_v3(), bc_sanitize_v3(), Color_to_tuple_ex(), Euler_to_tuple_ex(), Quaternion_to_tuple_ext(), BCMatrix::sanitize(), BCMatrix::sanitize(), and Vector_to_tuple_ex().

floor_power_of_10()

float floor_power_of_10

(

float

f

)

Floor to the nearest power of 10, e.g.:

• 15.0 -> 10.0
• 0.015 -> 0.01
• 1.0 -> 1.0

Parameters

f	Value to floor, must be over 0.0.

Note

If we wanted to support signed values we could if this becomes necessary.

Definition at line 65 of file math_base.c.

References BLI_assert, ceilf, and powf.

Referenced by blender::tests::TEST().

floored_fmod()

MINLINE float floored_fmod	(	float	f,
		float	n )

Floored modulo that is useful for wrapping numbers over n, including when f is negative.

This is the same as Python % or GLSL mod(): floored_fmod(-0.2, 1.0) = 0.8.

Returns

a float in the interval [0, n), same sign as n.

Definition at line 313 of file math_base_inline.c.

References floorf.

Referenced by blender::math::bilinear_fl_impl(), blender::math::interpolate_bilinear_wrap_byte(), blender::math::interpolate_nearest_wrap_byte(), blender::math::interpolate_nearest_wrap_fl(), blender::tests::TEST(), time_offset_fcurve_segment(), and blender::compositor::MemoryBuffer::wrap_pixel().

integer_digits_d()

MINLINE int integer_digits_d

(

double

d

)

Returns number of (base ten) significant digits of integer part of given double (negative in case of decimal-only floats, 0.01 returns -1 e.g.).

Definition at line 670 of file math_base_inline.c.

References fabs(), floor(), and int.

Referenced by unit_as_string(), and unit_as_string_split_pair().

integer_digits_f()

MINLINE int integer_digits_f

(

float

f

)

Returns number of (base ten) significant digits of integer part of given float (negative in case of decimal-only floats, 0.01 returns -1 e.g.).

Definition at line 665 of file math_base_inline.c.

References fabs(), floor(), and int.

Referenced by ui_but_string_get_ex().

integer_digits_i()

MINLINE int integer_digits_i

(

int

i

)

Definition at line 675 of file math_base_inline.c.

Referenced by BKE_collection_new_name_get(), blender::io::usd::USDStageReader::create_proto_collections(), and stampdata().

interpd()

MINLINE double interpd	(	double	target,
		double	origin,
		double	t )

Definition at line 87 of file math_base_inline.c.

Referenced by lineart_do_closest_segment(), lineart_intersect_seg_seg(), lineart_line_isec_2d_ignore_line2pos(), lineart_shadow_cast_onto_triangle(), lineart_shadow_register_silhouette(), lineart_shadow_segment_slice_get(), and blender::bke::tests::test_vec_roll_to_mat3_orthogonal().

interpf()

MINLINE float interpf	(	float	target,
		float	origin,
		float	t )

Definition at line 82 of file math_base_inline.c.

Referenced by applyCurveShrinkFatten(), applyGPOpacity(), applyGPShrinkFatten(), applyMaskShrinkFatten(), BKE_curveprofile_evaluate_length_portion(), BKE_gpencil_stroke_close(), BKE_pchan_bbone_spline_compute(), blend_to_default_fcurve(), blend_to_neighbor_fcurve_segment(), bm_decim_edge_collapse(), breakdown_fcurve_segment(), butterworth_calculate_blend_value(), butterworth_smooth_fcurve_segment(), computeBindWeights(), create_samples_even_spacing(), data_transfer_interp_float_do(), blender::ed::greasepencil::dist_to_interpolated(), draw_start_vertex_circle(), ElementResize(), evaluate_time_fmodifiers(), evaluate_value_fmodifiers(), fcurve_eval_samples(), find_bbone_segment_index_curved(), gpencil_editcurve_subdivide_curve_segment(), imm_draw_circle_partial(), imm_draw_circle_partial_3d(), imm_draw_disk_partial(), imm_draw_disk_partial_3d(), blender::ed::seq::init_wave_table(), insert_bezt_to_nurb(), insert_bp_to_nurb(), interp_slerp_co_no_v3(), lineart_chain_create_crossing_point(), lineart_shadow_edge_cut(), MOD_lineart_chain_feature_lines(), blender::ed::sculpt_paint::paint_smooth_stroke(), pose_slide_apply_val(), scale_average_fcurve_segment(), scale_from_fcurve_segment_neighbor(), smooth_fcurve_segment(), splineik_evaluate_bone(), stretchto_evaluate(), blender::ed::curves::stroke_elem_interp(), stroke_elem_interp(), subdivide_base(), subdividenurb(), uiAlignPanelStep(), update_timestep(), view3d_smoothview_apply_with_interp(), and weight_set_exec().

is_power_of_2_i()

MINLINE int is_power_of_2_i

(

int

n

)

Definition at line 121 of file math_base_inline.c.

Referenced by blf_batch_draw(), findBitIndex(), FlipDXTCImage(), get_profile_point(), IMB_create_gpu_texture(), log2_ceil_u(), blender::bke::mesh_calc_edges(), power_of_2_max_i(), and power_of_2_min_i().

log2_ceil_u()

MINLINE unsigned int log2_ceil_u

(

unsigned int

x

)

Definition at line 174 of file math_base_inline.c.

References is_power_of_2_i(), and log2_floor_u().

Referenced by blender::draw::command::DrawMultiBuf::bind(), and blender::tests::TEST().

log2_floor_u()

MINLINE unsigned int log2_floor_u

(

unsigned int

x

)

Definition at line 169 of file math_base_inline.c.

References log2_floor_u().

Referenced by log2_ceil_u(), log2_floor_u(), and blender::tests::TEST().

max_cc()

MINLINE char max_cc	(	char	a,
		char	b )

Definition at line 534 of file math_base_inline.c.

References b.

max_dd()

MINLINE double max_dd	(	double	a,
		double	b )

Definition at line 444 of file math_base_inline.c.

References b.

Referenced by max_ddd(), and blender::geometry::p_triangle_angles().

max_ddd()

MINLINE double max_ddd	(	double	a,
		double	b,
		double	c )

Definition at line 480 of file math_base_inline.c.

References b, and max_dd().

Referenced by blender::geometry::p_chart_lscm_solve().

max_ff()

MINLINE float max_ff	(	float	a,
		float	b )

Definition at line 408 of file math_base_inline.c.

References b.

Referenced by alpha_circle_mask(), alpha_clip_aniso(), annotation_draw_stroke_2d(), annotation_draw_stroke_3d(), annotation_draw_stroke_buffer(), apply_heights_callback(), bake_ibuf_normalize_displacement(), barycentric_weights_v2_clamped(), blender::eevee::LightModule::begin_sync(), bezier_clamp(), bezier_handle_calc_smooth_fcurve(), BKE_bmbvh_overlap(), BKE_curvemapping_changed(), BKE_curvemapping_compute_range_dividers(), BKE_curvemapping_set_black_white_ex(), BKE_curvemapping_set_defaults(), BKE_curveprofile_move_point(), BKE_defvert_normalize_lock_map(), BKE_fcurves_calc_keyed_frames_ex(), BKE_gpencil_stroke_delete_tagged_points(), BKE_mask_spline_feather_resolution(), BKE_maskrasterize_handle_sample(), BKE_mesh_remap_calc_faces_from_mesh(), BKE_tracking_marker_clamp_search_size(), BKE_tracking_max_distortion_delta_across_bound(), blend_color_burn_float(), blend_color_erase_alpha_float(), blend_color_lighten_float(), blend_color_linearburn_float(), blend_color_linearlight_float(), blend_color_pinlight_float(), blend_color_screen_float(), blend_color_sub_float(), blend_color_vividlight_float(), blf_glyph_to_curves(), BLI_bvhtree_new(), blinn_specular(), blo_do_versions_300(), blo_do_versions_400(), block_align_proximity_compute(), BM_face_splits_check_legal(), brightcontrast_apply_threaded(), blender::ed::sculpt_paint::brush_dynamic_size_get(), brush_edit_apply(), button2d_geom_draw_backdrop(), calc_bbox(), calc_bevfac_mapping(), blender::ed::sculpt_paint::expand::calc_new_mask_mesh(), calc_tw_center(), calculate_autoscale_factor(), calculate_bezt_bounds_y(), calculate_collision_balls(), calculate_fpt_bounds(), ccd_mesh_make(), ccd_mesh_update(), clamp_nonzero(), clipUVData(), cloth_collision_response_static(), cloth_record_result(), cloth_selfcollision_response_static(), blender::nodes::node_composite_color_ramp_cc::ColorRampShaderNode::compile(), compute_bbone_segment_boundaries(), computeBindWeights(), blender::gpu::convert(), create_display_buffer_processor(), ArmatureBoneDrawStrategyEnvelope::culling_test(), curvemap_make_table(), cylinder_project_exec(), damptrack_do_transform(), dist_signed_squared_to_corner_v3v3v3(), do_multires_bake(), do_sub_effect_float(), do_versions_sequencer_speed_effect_recursive(), do_vert_pair(), draw_fcurve_curve(), draw_horizontal_scale_indicators(), draw_seq_fcurve_overlay(), draw_seq_text_overlay(), draw_seq_waveform_overlay(), draw_strip_icons(), drawLine(), drawmeta_contents(), DRW_globals_update(), drw_shgroup_bone_envelope(), DRW_view_create_with_zoffset(), dynamic_paint_effect_shrink_cb(), dynamic_paint_paint_particle_cell_point_cb_ex(), dynamic_paint_paint_single_point_cb_ex(), dynamicPaint_mixPaintColors(), ED_mask_draw_region(), ED_view3d_polygon_offset(), edbm_bevel_init(), edbm_bevel_modal(), edbm_inset_init(), edbm_inset_modal(), EDBM_preselect_edgering_draw(), ElementResize(), expand_key_bounds(), fcurve_scene_coord_range_get(), find_last_key(), blender::animrig::get_frame_range_of_fcurves(), get_keyframe_extents(), gizmo2d_xform_draw_prepare(), gizmo_bbone_offset_set(), gpencil_vfx_shadow(), gpencil_vfx_wave(), GPU_line_width(), blender::nodes::node_shader_color_ramp_cc::gpu_shader_valtorgb(), gpu_texture_create_tile_array(), heat_set_H(), IDP_EqualsProperties_ex(), image_camera_background_matrix_get(), imagewraposa(), imagewraposa_aniso(), IMB_colormanagement_setup_glsl_draw_from_space(), blender::eevee::AmbientOcclusion::init(), blender::workbench::CavityEffect::init(), blender::compositor::GaussianAlphaBlurBaseOperation::init_data(), blender::compositor::GaussianBlurBaseOperation::init_data(), blender::compositor::ProjectorLensDistortionOperation::init_data(), interp_weights_poly_v2(), interp_weights_poly_v3(), isect_seg_seg_v2_point_ex(), label_rect_get(), label_rect_init(), layer_bucket_init(), blender::bke::greasepencil::convert::legacy_gpencil_frame_to_grease_pencil_drawing(), blender::bke::pbvh::long_edge_queue_edge_add_recursive(), loopcut_modal(), make_box_union(), blender::color::FloatTraits::max(), max_fff(), max_ffff(), max_v3_v3v3(), meshdeform_ray_tree_intersect(), MOD_solidify_extrude_modifyMesh(), MOD_solidify_nonmanifold_modifyMesh(), modify_mesh(), move_segment(), nearest_world_tree(), blender::ed::space_node::node_update_hidden(), blender::ed::space_node::nodelink_get_draw_config(), blender::ed::object::object_rand_transverts(), blender::draw::overlay::Lights::object_sync(), blender::ed::object::object_warp_transverts_minmax_x(), offset_meet(), OVERLAY_bounds(), OVERLAY_gpencil_legacy_cache_init(), OVERLAY_grid_init(), OVERLAY_light_cache_populate(), blender::eevee::Film::overscan_pixels_get(), blender::geometry::pack_islands_alpaca_rotate(), blender::geometry::pack_islands_alpaca_turbo(), blender::geometry::pack_islands_optimal_pack(), blender::ed::sculpt_paint::paint_cursor_context_init(), blender::ed::sculpt_paint::paint_space_stroke_spacing(), blender::ed::sculpt_paint::paint_stroke_new(), blender::ed::sculpt_paint::paint_stroke_overlapped_curve(), blender::ed::sculpt_paint::image::ops::paint::paint_stroke_update_step(), polyedge_beauty_cost_update_single(), py_bvhtree_overlap(), quad_calc_error(), radial_control_invoke(), ramp_blend(), RE_GetWindowMatrixWithOverscan(), blender::io::usd::USDCameraReader::read_object_data(), blender::io::alembic::AbcCameraReader::readObjectData(), recalc_face_normals_find_index(), blender::eevee::DepthOfField::render(), rgb_to_cpack(), RNA_property_float_ui_range(), safe_sqrtf(), blender::gpu::MTLContext::sampler_state_cache_init(), scan_for_ext_face_forces(), blender::ed::sculpt_paint::expand::sculpt_expand_modal(), blender::ed::sculpt_paint::sculpt_update_cache_invariants(), SEQ_give_frame_index(), sequencer_main_clamp_view(), sequencer_retiming_draw_continuity(), SimpleDeformModifier_do(), slider_update_factor(), smart_uv_project_calculate_project_normals(), smooth_view_rect_to_fac(), smoothminf(), snap_to_superellipsoid(), softbody_apply_forces(), softbody_step(), sphclassical_calc_dens(), sphere_project_exec(), splineik_evaluate_bone(), square_roughness_node_insert(), blender::draw::statvis_calc_distort(), blender::draw::statvis_calc_sharp(), stitch_island_calculate_edge_rotation(), stitch_island_calculate_vert_rotation(), stretchto_evaluate(), strip_draw_context_get(), svd_m4(), blender::eevee::DepthOfField::sync(), blender::gpu::tests::texture_create_upload_read_with_bias(), tracking_check_marker_margin(), transformEvent(), ui_block_bounds_calc(), ui_block_bounds_calc_text(), ui_but_range_set_soft(), ui_do_but_NUM(), ui_draw_but_CURVE(), ui_draw_but_CURVEPROFILE(), ui_draw_dropshadow(), ui_menu_scroll_apply_offset_y(), ui_numedit_begin(), ui_numedit_but_NUM(), ui_popup_block_position(), ui_popup_block_refresh(), ui_tooltip_create_with_data(), blender::ed::sculpt_paint::update_curve_mask(), blender::ed::sculpt_paint::expand::update_mask_bmesh(), blender::ed::sculpt_paint::expand::update_mask_grids(), blender::compositor::BrightnessOperation::update_memory_buffer_partial(), blender::compositor::ConvertHSLToRGBOperation::update_memory_buffer_partial(), blender::compositor::ConvertHSVToRGBOperation::update_memory_buffer_partial(), blender::compositor::MixExclusionOperation::update_memory_buffer_row(), blender::compositor::MixLightenOperation::update_memory_buffer_row(), blender::bke::pbvh::uv_islands::UVBorderCorner::uv(), uv_cylinder_project(), uv_map_mirror(), uv_sphere_project(), v3d_cursor_plane_draw(), vertex_color_brightness_contrast_exec(), vfont_to_curve(), blender::ed::object::vgroup_normalize(), view3d_from_minmax(), view3d_localview_init(), view3d_orbit_apply_dyn_ofs_ortho_correction(), view3d_zoom_border_exec(), blender::draw::overlay::State::view_dist_get(), blender::ed::space_node::viewer_border_exec(), viewzoom_scale_value(), blender::ed::object::voxel_size_edit_invoke(), blender::ed::object::voxel_size_edit_modal(), walkEvent(), widget_scroll(), WIDGETGROUP_empty_image_refresh(), wm_software_cursor_draw_crosshair(), WM_window_set_dpi(), wrapped_lighting(), and zspan_scanconvert().

max_fff()

MINLINE float max_fff	(	float	a,
		float	b,
		float	c )

Definition at line 489 of file math_base_inline.c.

References b, and max_ff().

Referenced by blender::ed::object::apply_objects_internal(), BKE_mesh_mirror_apply_mirror_on_axis_for_modifier(), calculate_bezt_bounds_x(), calculate_bezt_bounds_y(), clamp_axis_max_v3(), blender::nodes::node_composite_lensdist_cc::LensDistortionOperation::compute_scale(), cube_project_exec(), blender::bke::pbvh::pixels::do_encode_pixels(), dynamicPaint_prepareEffectStep(), fast_ray_nearest_hit(), getSurfaceDimension(), imagewrap(), imagewraposa(), imagewraposa_aniso(), mat3_to_size_max_axis(), mat4_to_size_max_axis(), max_ffff(), OVERLAY_bounds(), position_tail_on_spline(), blender::bke::pbvh::raycast_node_detail_bmesh(), rgb_to_hsl(), sb_detect_face_collisionCached(), sb_detect_face_pointCached(), blender::geometry::signed_distance_fat_triangle(), surfaceGenerateGrid(), blender::geometry::Occupancy::trace_triangle(), view3d_from_minmax(), and view3d_localview_init().

max_ffff()

MINLINE float max_ffff	(	float	a,
		float	b,
		float	c,
		float	d )

Definition at line 507 of file math_base_inline.c.

References b, max_ff(), and max_fff().

Referenced by calculate_bezt_draw_resolution(), expand_key_bounds(), and blender::ed::space_node::node_link_draw_is_visible().

max_ii()

MINLINE int max_ii	(	int	a,
		int	b )

Definition at line 453 of file math_base_inline.c.

References b.

Referenced by accessor_get_ibuf(), blender::eevee::GBuffer::acquire(), action_space_icon_get(), action_space_name_get(), actionzone_modal(), blender::gpu::MTLFrameBuffer::add_color_attachment(), blender::gpu::MTLFrameBuffer::add_depth_attachment(), blender::gpu::MTLShaderInterface::add_input_attribute(), blender::gpu::MTLFrameBuffer::add_stencil_attachment(), blender::gpu::MTLShaderInterface::add_storage_block(), blender::gpu::MTLShaderInterface::add_texture(), blender::gpu::MTLShaderInterface::add_uniform_block(), blender::bke::pbvh::uv_islands::add_uv_island(), blender::draw::alloc_final_points_vbo(), animviz_calc_motionpaths(), annotation_draw_eraser(), area_move_set_limits(), attr_align(), azone_clipped_rect_calc(), blender::gpu::MTLShader::bake_pipeline_state(), blender::ed::space_node::best_socket_input(), bevel_build_cutoff(), blender::gpu::VKVertexAttributeObject::bind(), BKE_autotrack_context_sync(), BKE_curve_material_index_validate(), BKE_icon_geom_rasterize(), BKE_image_get_tile_info(), BKE_mask_get_duration(), BKE_mask_spline_resolution(), BKE_mesh_remap_calc_faces_from_mesh(), BKE_mesh_remap_calc_loops_from_mesh(), BKE_mesh_validate_material_indices(), BKE_nurb_order_clamp_u(), BKE_nurb_order_clamp_v(), BKE_render_num_threads(), BKE_sculpt_mask_layers_ensure(), BKE_tracking_get_plane_imbuf(), BKE_tracking_reconstruction_context_new(), BKE_tracking_tracks_first_last_frame_minmax(), blend_color_burn_byte(), blend_color_erase_alpha_byte(), blend_color_lighten_byte(), blend_color_linearburn_byte(), blend_color_linearlight_byte(), blend_color_pinlight_byte(), blend_color_screen_byte(), blend_color_sub_byte(), blend_color_vividlight_byte(), blend_file_thumb_clamp_size(), BLI_bitmap_draw_2d_poly_v2i_n(), BLI_bvhtree_find_nearest_projected(), BLI_ghash_calc_quality_ex(), BLI_rcti_do_minmax_rcti(), bm_edgering_pair_subdiv(), BM_mesh_bevel(), BM_mesh_decimate_dissolve_ex(), BM_mesh_partial_create_from_verts_group_multi(), BM_mesh_partial_create_from_verts_group_single(), bmo_create_grid_exec(), bmo_unsubdivide_exec(), brush_scale_size_exec(), calculate_autoscale_factor(), blender::bke::pbvh::pixels::CopyPixelCommand::can_be_extended(), blender::gpu::VKBackend::capabilities_init(), change_spacing_exec(), channels_bake_exec(), circle_select_exec(), clamp_i(), clip_set_scene_frames_exec(), blender::eevee::DeferredPipeline::closure_layer_count(), cloth_record_result(), blender::gpu::VKFrameBuffer::color_attachments_resource_size(), colorband_init_from_table_rgba_simple(), blender::nodes::node_composite_crop_cc::CropOperation::compute_cropping_bounds(), blender::gpu::MTLContext::compute_dispatch(), blender::draw::View::compute_visibility(), console_select_to_buffer(), cp_cu_key(), create_missing_media_image(), create_primitive_from_points(), createTransSeqData(), curve_decimate_exec(), curvemap_buttons_layout(), curvemap_make_table(), CurveProfile_buttons_layout(), displayed_channel_range_get(), do_sub_effect_byte(), dopesheet_view_all_exec(), blender::workbench::DofPass::draw(), blender::ed::space_node::draw_background_color(), draw_current_frame(), draw_geometry_execute(), draw_seq_fcurve_overlay(), draw_seq_timeline_channels(), draw_spline_curve(), drawmeta_contents(), blender::ed::object::drop_named_material_invoke(), blender::ed::object::drop_named_material_tooltip(), blender::draw::DRW_curve_material_count_get(), blender::draw::DRW_curves_material_count_get(), blender::draw::DRW_pointcloud_material_count_get(), blender::draw::DRW_volume_material_count_get(), ED_curve_editfont_select_pick(), ED_info_draw_stats(), ed_preview_draw_rect(), ED_scene_fps_average_accumulate(), ED_view3d_backbuf_sample_size_clamp(), ED_view3d_depth_read_cached(), ED_view3d_update_viewmat(), blender::gpu::MTLImmediate::end(), blender::eevee::LightModule::end_sync(), blender::gpu::MTLContext::ensure_render_pipeline_state(), fcurve_scene_coord_range_get(), file_smoothscroll_invoke(), filelist_file_cache_block(), blender::bke::pbvh::pixels::Rows::find_second_source(), blender::eevee::VelocityModule::geometry_steps_fill(), gesture_box_apply_rect(), get_active_fcurve_keyframe_edit(), blender::get_factor_from_index(), blender::ed::space_node::get_main_socket(), blender::gpu::VKQueryPool::get_occlusion_result(), blender::gpu::GLPixelBuffer::GLPixelBuffer(), blender::gpu::GLShaderInterface::GLShaderInterface(), gpencil_material_pool_create(), gpencil_vfx_blur(), gpencil_vfx_glow(), gpencil_vfx_rim(), gpencil_vfx_shadow(), gpu_batch_preset_panel_drag_widget(), GPU_offscreen_create(), gpu_texture_create_tile_array(), gpu_texture_update_from_ibuf(), blender::ed::sculpt_paint::grease_pencil_eraser_draw(), image_sample_apply(), image_view_all(), IMB_create_gpu_texture(), implicit_needed_branches(), blender::eevee::MotionBlurModule::init(), blender::eevee::Sampling::init(), blender::eevee::Sampling::init(), blender::workbench::DofPass::init(), blender::workbench::SceneState::init(), blender::gpu::Texture::init_2D(), blender::gpu::Texture::init_cubemap(), initSnapping(), left_fake_key_frame_get(), blender::bke::image::partial_update::PartialUpdateRegisterImpl::limit_history(), M_Geometry_interpolate_bezier(), blender::bke::image::partial_update::TileChangeset::mark_region(), blender::eevee::SphereProbeAtlasCoord::LocationFinder::mark_space_used(), blender::bke::pbvh::uv_islands::mask_resolution_from_tile_resolution(), blender::eevee::DeferredLayer::material_add(), blender::eevee::DeferredProbePipeline::material_add(), blender::eevee::PlanarProbePipeline::material_add(), Matrix_str(), blender::color::ByteTraits::max(), max_iii(), max_iiii(), mesh_join_offset_face_sets_ID(), blender::gpu::Texture::mip_depth_get(), blender::gpu::Texture::mip_height_get(), blender::gpu::Texture::mip_size_get(), blender::gpu::Texture::mip_width_get(), MOD_lineart_gpencil_generate_v3(), MOD_meshcache_calc_range(), motion_path_cache(), motion_path_get_frame_range_to_draw(), motionpath_calculate_update_range(), motionpath_get_global_framerange(), blender::gpu::name_buffer_copystr(), blender::ed::space_node::node_socket_calculate_height(), blender::eevee::DeferredPipeline::normal_layer_count(), ZstdWriteWrap::open(), blender::ed::outliner::outliner_data_api_buttons_start_x(), panel_calculate_size_recursive(), blender::draw::particle_batch_cache_ensure_procedural_final_points(), paste_get_y_offset(), pipe_adj_vmesh(), prefetch_data_fn(), blender::gpu::MSLGeneratorInterface::prepare_from_createinfo(), blender::ed::space_node::preview_prepare_scene(), preview_prepare_scene(), psys_get_pointcache_start_end(), psys_thread_context_init_path(), blender::gpu::VKPushConstants::push_constant_set(), pygpu_texture__tp_new(), radial_control_invoke(), blender::ed::sculpt_paint::face_set::randomize_colors_exec(), blender::gpu::MTLTexture::read(), blender::gpu::VKFrameBuffer::read(), realize_fake_keys_in_rect(), blender::gpu::FrameBuffer::recursive_downsample(), region_rect_recursive(), blender::eevee::RayTraceModule::render(), blender::gpu::VKFrameBuffer::rendering_ensure(), RNA_property_int_ui_range(), screen_animation_step_invoke(), blender::ed::sculpt_paint::expand::sculpt_expand_modal(), seq_cache_cleanup_sequence(), SEQ_render_give_ibuf(), seq_retiming_clamp_timeline_frame(), seq_retiming_clamp_transition_offset(), SEQ_retiming_transition_key_frame_set(), seq_time_effect_range_set(), SEQ_time_update_meta_strip_range(), SEQ_transform_seqbase_shuffle_ex(), seq_update_meta_disp_range(), seq_update_sound_bounds_recursive_impl(), seq_view_collection_rect_timeline(), sequencer_add_effect_strip_exec(), sequencer_all_free_anim_ibufs(), sequencer_drop_copy(), sequencer_export_subtitles_exec(), sequencer_image_seq_get_minmax_frame(), sequencer_meta_make_exec(), sequencer_select_side_exec(), sequencer_set_range_to_strips_exec(), sequencer_visible_strips_get(), set_profile_spacing(), shuffle_seq_time_offset_get(), SIM_hair_volume_add_segment(), svd_m4(), blender::draw::TestDefrag::TestDefrag(), text_scroll_state_init(), textview_draw_sel(), tracking_dopesheet_calc_coverage(), tracking_dopesheet_channels_segments_calc(), ui_do_but_NUM(), ui_item_rna_size(), ui_litem_estimate_column_flow(), ui_litem_estimate_grid_flow(), ui_litem_grid_flow_compute(), ui_litem_layout_absolute(), ui_litem_layout_radial(), UI_panel_category_draw_all(), ui_panels_size(), ui_text_clip_cursor(), ui_text_clip_middle(), ui_text_clip_middle_protect_right(), ui_text_clip_right_label(), ui_tooltip_create_with_data(), uiItemFullR(), uilist_prepare(), uiTemplateReportsBanner(), uiTemplateStatusInfo(), unit_as_string_split_pair(), blender::compositor::CropBaseOperation::update_area(), blender::compositor::GaussianAlphaBlurBaseOperation::update_memory_buffer_partial(), blender::compositor::GaussianBokehBlurOperation::update_memory_buffer_partial(), blender::gpu::VKTexture::update_sub(), vfont_to_curve(), widget_draw_text(), widget_scroll(), wm_main_playanim_intern(), WM_window_set_dpi(), and zspan_scanconvert().

max_iii()

MINLINE int max_iii	(	int	a,
		int	b,
		int	c )

Definition at line 498 of file math_base_inline.c.

References b, and max_ii().

Referenced by blo_do_versions_260(), blender::gpu::Texture::init_3D(), max_iiii(), and thumb_calc_first_timeline_frame().

max_iiii()

MINLINE int max_iiii	(	int	a,
		int	b,
		int	c,
		int	d )

Definition at line 516 of file math_base_inline.c.

References b, max_ii(), and max_iii().

Referenced by _bli_array_iter_spiral_square().

max_uu()

MINLINE uint max_uu	(	uint	a,
		uint	b )

Definition at line 462 of file math_base_inline.c.

References b.

Referenced by blender::gpu::MTLCircularBuffer::allocate_range_aligned(), blender::eevee::VelocityModule::end_sync(), blender::gpu::MTLContext::ensure_texture_bindings(), blender::gpu::MTLContext::ensure_texture_bindings(), GPU_indexbuf_join(), ibJpegImageFromCinfo(), blender::gpu::MSLGeneratorInterface::prepare_from_createinfo(), and blender::gpu::MTLScratchBufferManager::scratch_buffer_allocate_range_aligned().

max_zz()

MINLINE size_t max_zz	(	size_t	a,
		size_t	b )

Definition at line 525 of file math_base_inline.c.

References b.

Referenced by clamp_z().

min_cc()

MINLINE char min_cc	(	char	a,
		char	b )

Definition at line 530 of file math_base_inline.c.

References b.

min_dd()

MINLINE double min_dd	(	double	a,
		double	b )

Definition at line 440 of file math_base_inline.c.

References b.

Referenced by min_ddd().

min_ddd()

MINLINE double min_ddd	(	double	a,
		double	b,
		double	c )

Definition at line 476 of file math_base_inline.c.

References b, and min_dd().

min_ff()

MINLINE float min_ff	(	float	a,
		float	b )

Definition at line 404 of file math_base_inline.c.

References b.

Referenced by alpha_circle_mask(), annotation_draw_apply(), apply_heights_callback(), area_draw_azone_fullscreen(), blender::ed::space_node::backimage_fit_exec(), bezier_clamp(), bezier_handle_calc_smooth_fcurve(), BKE_curvemapping_changed(), BKE_curvemapping_set_defaults(), BKE_curveprofile_move_point(), BKE_maskrasterize_handle_sample(), BKE_tracking_marker_clamp_search_size(), blend_color_add_alpha_float(), blend_color_darken_float(), blend_color_dodge_float(), blend_color_hardlight_float(), blend_color_linearlight_float(), blend_color_overlay_float(), blend_color_pinlight_float(), blend_color_vividlight_float(), blo_do_versions_270(), blo_do_versions_300(), blo_do_versions_400(), bm_decim_build_edge_cost_single__topology(), bm_decim_build_edge_cost_single_squared__topology(), bmo_create_uvsphere_exec(), bmo_dissolve_degenerate_exec(), bmo_dissolve_limit_exec(), boid_body(), btw_smooth_graph_keys(), butterworth_smooth_fcurve_segment(), button2d_geom_draw_backdrop(), calc_bevfac_mapping(), blender::ed::sculpt_paint::expand::calc_new_mask_mesh(), calc_tw_center(), calctrackballvec(), calculate_autoscale_factor(), calculate_bezt_bounds_y(), calculate_collision_balls(), calculate_fpt_bounds(), ccd_mesh_make(), ccd_mesh_update(), channel_draw_context_init(), check_zone(), clamp_nonzero(), clickable_handle_size_get(), clip_view_calculate_view_selection(), clipUVData(), cloth_collision_response_static(), cloth_record_result(), cloth_selfcollision_response_static(), computeAngularWeight(), computeBindWeights(), convert_tree(), curvemap_make_table(), damptrack_do_transform(), dist_signed_squared_to_corner_v3v3v3(), do_multires_bake(), do_projectpaint_thread(), draw_fcurve_curve(), draw_keylist_block_gpencil(), draw_marker_slide_zones(), draw_seq_fcurve_overlay(), draw_seq_in_view(), draw_seq_text_overlay(), draw_seq_waveform_overlay(), draw_strip_icons(), drawmeta_contents(), dynamic_paint_effect_drip_cb(), dynamic_paint_effect_spread_cb(), ED_view3d_backbuf_sample_size_clamp(), ED_view3d_update_viewmat(), edge_slide_apply_elem(), expand_key_bounds(), fcurve_scene_coord_range_get(), find_next_key(), flyApply(), flyEvent(), geodesic_distance_propagate_across_triangle(), blender::animrig::get_frame_range_of_fcurves(), get_keyframe_extents(), blender::bke::pbvh::uv_islands::UVIslandsMask::Tile::get_pixel_size_in_uv_space(), get_seq_strip_thumbnails(), get_shortest_pattern_side(), getArrowEndPoint(), gpu_texture_create_tile_array(), graph_key_shortest_dist(), image_camera_background_matrix_get(), image_view_all(), IMB_rectblend(), immDrawBorderCorners(), blender::compositor::GaussianAlphaBlurBaseOperation::init_data(), blender::compositor::GaussianBlurBaseOperation::init_data(), blender::compositor::ProjectorLensDistortionOperation::init_data(), blender::ed::sculpt_paint::expand::init_from_face_set_boundary(), isect_seg_seg_v2_point_ex(), knife_snap_size(), label_rect_get(), layer_bucket_init(), line_rect_clip(), make_box_union(), merge_frame_corners(), blender::color::FloatTraits::min(), min_fff(), min_ffff(), mix_normals(), MOD_solidify_extrude_modifyMesh(), MOD_solidify_nonmanifold_modifyMesh(), modify_mesh(), modify_mesh(), move_segment(), nla_action_draw_keyframes(), blender::ed::space_node::node_insert_on_link_flags_set(), blender::ed::space_node::node_update_basis(), blender::ed::object::object_warp_transverts_minmax_x(), OVERLAY_grid_init(), paint_calculate_rake_rotation(), pipe_adj_vmesh(), quad_calc_error(), radial_control_invoke(), ramp_blend(), blender::eevee::DepthOfField::render(), retiming_fake_key_frame_clicked(), rgb_to_hsl(), rgb_to_hsv(), RNA_property_float_ui_range(), blender::gpu::GLTexture::samplers_update(), sb_detect_edge_collisionCached(), scan_for_ext_face_forces(), scanfill(), seq_view_collection_rect_preview(), sequence_handle_size_get_clamped(), sequencer_main_clamp_view(), sequencer_retiming_draw_continuity(), sequencer_view_all_preview_exec(), sima_zoom_set_from_bounds(), SimpleDeformModifier_do(), slider_update_factor(), smooth_view_rect_to_fac(), smoothminf(), snap_to_superellipsoid(), softbody_apply_forces(), softbody_step(), sphclassical_calc_dens(), spline_under_mouse_get(), splineik_evaluate_bone(), stitch_island_calculate_edge_rotation(), stitch_island_calculate_vert_rotation(), stretchto_evaluate(), strip_draw_context_get(), texture_value_blend(), blender::geometry::Occupancy::trace_triangle(), transformEvent(), ui_but_range_set_soft(), ui_do_animate(), ui_do_but_NUM(), ui_draw_but_CURVE(), ui_draw_but_CURVEPROFILE(), ui_draw_but_UNITVEC(), ui_draw_dropshadow(), ui_menu_scroll_apply_offset_y(), ui_numedit_begin(), ui_numedit_but_HISTOGRAM(), ui_numedit_but_HSVCIRCLE(), ui_numedit_set_active(), ui_popup_block_refresh(), UI_text_clip_middle_ex(), ui_update_flexible_spacing(), unified_findnearest(), blender::ed::sculpt_paint::expand::update_mask_bmesh(), blender::ed::sculpt_paint::expand::update_mask_grids(), blender::compositor::MixDarkenOperation::update_memory_buffer_row(), uv_map_mirror(), uv_rip_single_from_loop(), versioning_eevee_material_blend_mode_settings(), vfont_to_curve(), view3d_center_camera_exec(), view3d_ruler_pick(), view_all_exec(), blender::ed::space_node::viewer_border_exec(), walkApply(), walkEvent(), zbuf_add_to_span(), and zspan_scanconvert().

min_fff()

MINLINE float min_fff	(	float	a,
		float	b,
		float	c )

Definition at line 485 of file math_base_inline.c.

References b, and min_ff().

Referenced by calculate_bezt_bounds_x(), calculate_bezt_bounds_y(), blender::bke::pbvh::pixels::do_encode_pixels(), dynamic_paint_effect_spread_cb(), gizmo_ruler_draw(), imagewraposa(), imagewraposa_aniso(), intersect_line_tri(), knifetool_draw_angle(), maskmodifier_apply_threaded(), min_ffff(), project_bucket_clip_face(), rgb_to_hsl(), sb_detect_face_collisionCached(), sb_detect_face_pointCached(), seq_retiming_clamp_create_offset(), blender::geometry::Occupancy::trace_triangle(), blender::compositor::KeyingOperation::update_memory_buffer_partial(), and view3d_ruler_pick().

min_ffff()

MINLINE float min_ffff	(	float	a,
		float	b,
		float	c,
		float	d )

Definition at line 503 of file math_base_inline.c.

References b, min_ff(), and min_fff().

Referenced by calculate_bezt_draw_resolution(), closest_seg_seg_v2(), constrain_rgb(), dist_seg_seg_v2(), expand_key_bounds(), and blender::ed::space_node::node_link_draw_is_visible().

min_ii()

MINLINE int min_ii	(	int	a,
		int	b )

Definition at line 449 of file math_base_inline.c.

References b.

Referenced by accessor_get_ibuf(), add_bezt_vertices(), blender::bke::pbvh::uv_islands::add_uv_island(), animviz_calc_motionpaths(), area_move_set_limits(), azone_clipped_rect_calc(), BKE_autotrack_context_sync(), BKE_blendfile_userdef_from_defaults(), BKE_image_get_tile_info(), BKE_key_evaluate_object_ex(), BKE_keyblock_convert_to_curve(), BKE_keyblock_convert_to_lattice(), BKE_keyblock_convert_to_mesh(), BKE_mask_spline_feather_collapse_inner_loops(), BKE_maskrasterize_handle_init(), BKE_mesh_remap_calc_edges_from_mesh(), BKE_tracking_get_projection_matrix(), BKE_tracking_reconstruction_context_new(), BKE_tracking_tracks_first_last_frame_minmax(), blend_color_add_alpha_byte(), blend_color_add_byte(), blend_color_darken_byte(), blend_color_dodge_byte(), blend_color_exclusion_byte(), blend_color_hardlight_byte(), blend_color_linearlight_byte(), blend_color_overlay_byte(), blend_color_pinlight_byte(), blend_color_vividlight_byte(), BLI_bitmap_draw_2d_poly_v2i_n(), BLI_rcti_do_minmax_rcti(), blender::gpu::blit_aspect(), blo_do_versions_280(), BM_mesh_bm_from_me(), bm_mesh_edges_select_get_n(), BM_mesh_partial_create_from_verts(), BM_mesh_partial_create_from_verts_group_multi(), BM_mesh_partial_create_from_verts_group_single(), bm_mesh_verts_select_get_n(), bmo_bisect_plane_exec(), brush_painter_imbuf_partial_update(), brush_painter_mask_imbuf_partial_update(), butterworth_smooth_fcurve_segment(), calcknots(), calculate_autoscale_factor(), blender::bke::curves::nurbs::calculate_knots(), channels_bake_exec(), check_zone(), clamp_i(), cloth_record_result(), color_clamp_index(), colorband_init_from_table_rgba_simple(), blender::nodes::node_composite_crop_cc::CropOperation::compute_cropping_bounds(), console_select_to_buffer(), cp_cu_key(), createTransSeqData(), CurveProfile_buttons_layout(), do_add_effect_byte(), do_drop_effect_byte(), do_drop_effect_float(), blender::bke::pbvh::pixels::do_encode_pixels(), do_history(), dopesheet_view_all_exec(), draw_movieclip_cache(), drawmeta_contents(), ED_region_header_layout(), ED_region_info_draw_multiline(), ED_region_panels_layout_ex(), ED_view3d_depth_read_cached(), edbm_fill_grid_prepare(), blender::eevee::DeferredLayer::end_sync(), blender::eevee::LightModule::end_sync(), blender::gpu::MTLContext::ensure_render_pipeline_state(), euler_filter_perform_filter(), fcurve_scene_coord_range_get(), file_draw_list(), filelist_file_cache_block(), find_next_key(), blender::bke::pbvh::pixels::Rows::find_second_source(), gesture_box_apply_rect(), blender::gpu::VKQueryPool::get_occlusion_result(), get_render_subsurf_level(), gpencil_vfx_blur(), gpencil_vfx_glow(), gpencil_vfx_rim(), gpencil_vfx_shadow(), GPU_batch_draw_advanced(), GPU_batch_draw_parameter_get(), GPU_texture_size_with_limit(), gpu_texture_update_from_ibuf(), imb_loadiris(), blender::eevee::ShadowModule::init(), blender::workbench::CavityEffect::init(), blender::workbench::SceneState::init(), ViewportColorSampleSession::init(), blender::gpu::Texture::init_1D(), blender::gpu::Texture::init_2D(), blender::gpu::Texture::init_3D(), blender::bke::image::partial_update::TileChangeset::init_chunks(), blender::gpu::Texture::init_cubemap(), blender::compositor::GaussianAlphaBlurBaseOperation::init_data(), blender::compositor::GaussianBlurBaseOperation::init_data(), blender::gpu::Texture::init_view(), blender::bke::image::partial_update::TileChangeset::mark_region(), mathutils_matrix_col_get(), mathutils_matrix_col_set(), Matrix_to_NxN(), matrix_unit_internal(), blender::color::ByteTraits::min(), min_iii(), min_iiii(), MOD_meshcache_calc_range(), motionpath_calculate_update_range(), motionpath_get_global_framerange(), multiply_ibuf(), blender::ed::space_node::node_update_basis_socket(), non_recursive_bvh_div_nodes(), paste_get_y_offset(), prefetch_get_final_frame(), blender::gpu::present(), psys_get_pointcache_start_end(), psys_tasks_create(), query_right_side_strips(), radial_control_invoke(), read_bone_collections(), realize_fake_keys_in_rect(), blender::gpu::FrameBuffer::recursive_downsample(), blender::eevee::DepthOfField::render(), right_fake_key_frame_get(), RNA_property_int_ui_range(), round_box__edges(), blender::eevee::ShadowModule::screen_pixel_radius(), seq_cache_cleanup_sequence(), seq_retiming_clamp_timeline_frame(), seq_retiming_clamp_transition_offset(), seq_time_effect_range_set(), SEQ_time_update_meta_strip_range(), seq_update_meta_disp_range(), seq_update_sound_bounds_recursive_impl(), seq_view_collection_rect_timeline(), sequencer_all_free_anim_ibufs(), sequencer_image_seq_get_minmax_frame(), sequencer_meta_make_exec(), sequencer_select_side_exec(), sequencer_set_range_to_strips_exec(), sequencer_visible_strips_get(), blender::eevee::ShadowTileMapPool::ShadowTileMapPool(), shuffle_seq_time_offset_get(), SIM_hair_volume_add_segment(), startConstraint(), svd_m4(), blender::draw::TestDefrag::TestDefrag(), textview_draw_sel(), tile_remove_exec(), track_init_markers(), tracking_dopesheet_calc_coverage(), ui_block_func_POPUP(), ui_but_drag_init(), ui_but_v3_get(), ui_but_v3_set(), ui_but_v4_get(), ui_but_v4_set(), ui_do_but_NUM(), ui_draw_but_HSVCIRCLE(), ui_hsvcircle_pos_from_vals(), ui_hsvcircle_vals_from_pos(), ui_item_array(), ui_litem_estimate_absolute(), ui_litem_estimate_column_flow(), ui_litem_estimate_grid_flow(), ui_litem_layout_absolute(), ui_litem_layout_column_flow(), ui_litem_layout_grid_flow(), ui_litem_layout_radial(), ui_litem_layout_row(), ui_panels_size(), ui_searchbox_region_draw_cb__operator(), ui_tooltip_create_with_data(), uilist_prepare(), uiTemplateReportsBanner(), blender::compositor::CropBaseOperation::update_area(), blender::ed::sculpt_paint::update_curve_mask(), blender::compositor::GaussianAlphaBlurBaseOperation::update_memory_buffer_partial(), blender::compositor::GaussianBokehBlurOperation::update_memory_buffer_partial(), blender::gpu::MTLBufferPool::update_memory_pools(), vfont_to_curve(), blender::gpu::MTLShader::warm_cache(), widget_numbut_draw(), WM_operator_properties_checker_interval(), wm_xr_session_action_test_bimanual(), and zspan_scanconvert().

min_iii()

MINLINE int min_iii	(	int	a,
		int	b,
		int	c )

Definition at line 494 of file math_base_inline.c.

References b, and min_ii().

Referenced by maskmodifier_apply_threaded(), min_iiii(), blender::ed::object::parent_set_vert_find(), and SEQ_retiming_transition_key_frame_set().

min_iiii()

MINLINE int min_iiii	(	int	a,
		int	b,
		int	c,
		int	d )

Definition at line 512 of file math_base_inline.c.

References b, min_ii(), and min_iii().

Referenced by _bli_array_iter_spiral_square().

min_uu()

MINLINE uint min_uu	(	uint	a,
		uint	b )

Definition at line 458 of file math_base_inline.c.

References b.

Referenced by blender::gpu::VKBackend::capabilities_init(), GPU_indexbuf_build_curves_on_device(), GPU_indexbuf_join(), ibJpegImageFromCinfo(), blender::draw::StorageArrayBuffer< T, len, device_only >::resize(), blender::gpu::MTLContext::texture_unbind(), and blender::gpu::MTLContext::texture_unbind_all().

min_zz()

MINLINE size_t min_zz	(	size_t	a,
		size_t	b )

Definition at line 521 of file math_base_inline.c.

References b.

Referenced by BLI_system_memory_max_in_megabytes_int(), clamp_z(), max_memory_in_megabytes_int(), ui_apply_but_undo(), and zstd_read_seekable().

mod_i()

MINLINE int mod_i	(	int	i,
		int	n )

Floored modulo that is useful for wrapping numbers over n, including when i is negative.

This is the same as Python % or GLSL mod(): mod_i(-5, 3) = 1.

Returns

an integer in the interval [0, n), same sign as n.

Definition at line 308 of file math_base_inline.c.

Referenced by blender::nodes::node_geo_instance_on_points_cc::add_instances_from_component(), BKE_nurb_index_from_uv(), BKE_scene_frame_snap_by_seconds(), bridge_loop_pair(), curve_dissolve_exec(), ed_dissolve_bez_segment(), edbm_fill_grid_prepare(), blender::nodes::node_geo_curve_topology_points_of_curve_cc::PointsOfCurveInput::get_varray_for_context(), blender::nodes::node_geo_mesh_topology_corners_of_edge_cc::CornersOfEdgeInput::get_varray_for_context(), blender::nodes::node_geo_mesh_topology_corners_of_face_cc::CornersOfFaceInput::get_varray_for_context(), blender::nodes::node_geo_mesh_topology_corners_of_vertex_cc::CornersOfVertInput::get_varray_for_context(), blender::nodes::node_geo_mesh_topology_edges_of_vertex_cc::EdgesOfVertInput::get_varray_for_context(), mat3_align_axis_to_v3(), project_paint_uvpixel_init(), RNA_property_enum_step(), setup_vertex_point(), smooth_exec(), WM_operator_properties_checker_interval_from_op(), and wm_software_cursor_draw().

pow2f()

MINLINE float pow2f

(

float

x

)

Definition at line 30 of file math_base_inline.c.

References x.

Referenced by blender::ed::spreadsheet::apply_row_filter(), BKE_brush_gen_radial_control_imbuf(), BKE_curveprofile_update(), BKE_kelvinlet_grab_triscale(), blender::ed::sculpt_paint::cache_paint_invariants_update(), blender::ed::sculpt_paint::filter::calc_sharpen_detail_translations(), blender::ed::sculpt_paint::CombOperationExecutor::comb_projected(), blender::ed::sculpt_paint::CombOperationExecutor::comb_spherical(), blender::ed::sculpt_paint::DeleteOperationExecutor::delete_projected(), blender::ed::sculpt_paint::DeleteOperationExecutor::delete_spherical(), draw_start_vertex_circle(), ease_sigmoid_function(), blender::draw::edituv_get_edituv_stretch_angle(), blender::ed::curves::find_closest_curve_to_screen_co(), blender::ed::curves::find_closest_point_to_screen_co(), blender::ed::sculpt_paint::PuffOperationExecutor::find_curve_weights_projected(), blender::ed::sculpt_paint::find_curves_brush_position(), blender::ed::sculpt_paint::SlideOperationExecutor::find_curves_to_slide(), blender::ed::sculpt_paint::PuffOperationExecutor::find_curves_weights_spherical(), blender::ed::sculpt_paint::SmoothOperationExecutor::find_projected_smooth_factors(), blender::ed::sculpt_paint::SmoothOperationExecutor::find_spherical_smooth_factors(), blender::ed::sculpt_paint::CurvesEffectOperationExecutor::gather_influences_projected(), blender::ed::sculpt_paint::CurvesEffectOperationExecutor::gather_influences_spherical(), blender::eevee::Film::init(), blender::ed::sculpt_paint::auto_mask::init_boundary_masking_bmesh(), blender::ed::sculpt_paint::auto_mask::init_boundary_masking_grids(), blender::ed::sculpt_paint::auto_mask::init_boundary_masking_mesh(), init_kelvinlet_grab(), kelvinlet_scale(), kelvinlet_twist(), blender::ed::sculpt_paint::filter::mesh_filter_sharpen_init(), blender::ed::sculpt_paint::SelectionPaintOperationExecutor::paint_curve_selection_projected(), blender::ed::sculpt_paint::SelectionPaintOperationExecutor::paint_curve_selection_spherical(), blender::ed::sculpt_paint::SelectionPaintOperationExecutor::paint_point_selection_projected(), blender::ed::sculpt_paint::SelectionPaintOperationExecutor::paint_point_selection_spherical(), blender::ed::sculpt_paint::PinchOperationExecutor::pinch_projected(), blender::ed::sculpt_paint::PinchOperationExecutor::pinch_spherical(), pow3f(), pow4f(), pow7f(), blender::ed::sculpt_paint::SnakeHookOperatorExecutor::projected_snake_hook(), blender::ed::sculpt_paint::DensitySubtractOperationExecutor::reduce_density_projected(), blender::ed::sculpt_paint::DensitySubtractOperationExecutor::reduce_density_spherical(), blender::ed::sculpt_paint::AddOperationExecutor::sample_spherical(), blender::ed::sculpt_paint::DensityAddOperationExecutor::sample_spherical_with_symmetry(), blender::bke::mesh_surface_sample::sample_surface_points_spherical(), SCULPT_calc_vertex_displacement(), blender::ed::curves::select_circle(), blender::ed::curves::select_circle_mask(), blender::geometry::curve_constraints::solve_length_and_collision_constraints(), sphclassical_force_cb(), blender::ed::sculpt_paint::SnakeHookOperatorExecutor::spherical_snake_hook(), ui_numedit_but_HISTOGRAM(), UI_view2d_dot_grid_draw(), blender::ed::sculpt_paint::use_add_density_mode(), and WM_gesture_lasso_modal().

pow3f()

MINLINE float pow3f

(

float

x

)

Definition at line 34 of file math_base_inline.c.

References pow2f(), and x.

Referenced by BKE_brush_calc_curve_factors(), BKE_brush_curve_strength(), blender::ed::sculpt_paint::brush_dynamic_size_get(), init_kelvinlet_grab(), kelvinlet_scale(), kelvinlet_twist(), pow7f(), samevolume_evaluate(), sphclassical_density_accum_cb(), sphclassical_force_cb(), and ui_hsvcircle_pos_from_vals().

pow4f()

MINLINE float pow4f

(

float

x

)

Definition at line 38 of file math_base_inline.c.

References pow2f().

Referenced by brush_strength(), cloth_apply_vgroup(), pow5f(), sphclassical_density_accum_cb(), and sphclassical_force_cb().

pow7f()

MINLINE float pow7f

(

float

x

)

Definition at line 46 of file math_base_inline.c.

References pow2f(), pow3f(), and x.

Referenced by sphclassical_force_cb().

pow_i()

int pow_i	(	int	base,
		int	exp )

Definition at line 13 of file math_base.c.

References BLI_assert, exp(), and result.

Referenced by multires_create_grids_in_unsubdivided_base_mesh(), and paint_proj_new_stroke().

power_of_2()

MINLINE float power_of_2

(

float

f

)

Used for zoom values.

Definition at line 116 of file math_base_inline.c.

References ceil(), log(), M_LN2, and pow().

Referenced by clip_view_calculate_view_selection(), image_view_all(), sequencer_view_all_preview_exec(), and view_all_exec().

power_of_2_max_i()

MINLINE int power_of_2_max_i

(

int

n

)

Returns next (or previous) power of 2 or the input number if it is already a power of 2.

Definition at line 126 of file math_base_inline.c.

References is_power_of_2_i().

Referenced by array_chunk_size_calc(), checker_board_color_fill(), blender::compositor::jump_flooding(), blender::realtime_compositor::jump_flooding(), parse_alloc_ops(), blender::eevee::RayTraceModule::render(), and set_profile_spacing().

power_of_2_max_u()

MINLINE unsigned int power_of_2_max_u

(

unsigned int

x

)

Definition at line 148 of file math_base_inline.c.

Referenced by blender::draw::StorageVectorBuffer< T, len >::append_as(), BLI_array_store_at_size_ensure(), blender::draw::StorageArrayBuffer< T, len, device_only >::get_or_resize(), and blender::draw::StorageArrayBuffer< T, len, device_only >::trim_to_next_power_of_2().

power_of_2_min_i()

MINLINE int power_of_2_min_i

(

int

n

)

Definition at line 139 of file math_base_inline.c.

References is_power_of_2_i().

Referenced by blender::bke::calc_edges::get_parallel_maps_count(), and smaller_power_of_2_limit().

power_of_2_min_u()

MINLINE unsigned int power_of_2_min_u

(

unsigned int

x

)

Definition at line 159 of file math_base_inline.c.

ratiod()

MINLINE double ratiod	(	double	min,
		double	max,
		double	pos )

Definition at line 98 of file math_base_inline.c.

References min, and pos.

Referenced by lineart_bounding_area_next(), lineart_do_closest_segment(), lineart_intersect_seg_seg(), lineart_line_isec_2d_ignore_line2pos(), lineart_point_on_line_segment(), lineart_shadow_cast_onto_triangle(), and lineart_triangle_edge_image_space_occlusion().

ratiof()

MINLINE float ratiof	(	float	min,
		float	max,
		float	pos )

Definition at line 92 of file math_base_inline.c.

References min, and pos.

Referenced by draw_histogram(), blender::ed::seq::init_wave_table(), and lineart_chain_create_crossing_point().

round_db_to_char()

MINLINE signed char round_db_to_char

(

double

a

)

Definition at line 230 of file math_base_inline.c.

References _round_db_impl.

round_db_to_char_clamp()

MINLINE signed char round_db_to_char_clamp

(

double

a

)

Definition at line 252 of file math_base_inline.c.

References _round_clamp_db_impl.

round_db_to_int()

MINLINE int round_db_to_int

(

double

a

)

Definition at line 234 of file math_base_inline.c.

References _round_db_impl.

Referenced by BKE_scene_frame_snap_by_seconds().

round_db_to_int_clamp()

MINLINE int round_db_to_int_clamp

(

double

a

)

Definition at line 260 of file math_base_inline.c.

References _round_clamp_db_impl.

Referenced by ui_but_value_set().

round_db_to_short()

MINLINE short round_db_to_short

(

double

a

)

Definition at line 232 of file math_base_inline.c.

References _round_db_impl.

round_db_to_short_clamp()

MINLINE short round_db_to_short_clamp

(

double

a

)

Definition at line 256 of file math_base_inline.c.

References _round_clamp_db_impl.

Referenced by ui_but_value_set().

round_db_to_uchar()

MINLINE unsigned char round_db_to_uchar

(

double

a

)

Definition at line 231 of file math_base_inline.c.

References _round_db_impl.

round_db_to_uchar_clamp()

MINLINE unsigned char round_db_to_uchar_clamp

(

double

a

)

Definition at line 254 of file math_base_inline.c.

References _round_clamp_db_impl.

Referenced by ui_but_value_set().

round_db_to_uint()

MINLINE unsigned int round_db_to_uint

(

double

a

)

Definition at line 235 of file math_base_inline.c.

References _round_db_impl.

round_db_to_uint_clamp()

MINLINE unsigned int round_db_to_uint_clamp

(

double

a

)

Definition at line 261 of file math_base_inline.c.

References _round_clamp_db_impl, and UINT_MAX.

round_db_to_ushort()

MINLINE unsigned short round_db_to_ushort

(

double

a

)

Definition at line 233 of file math_base_inline.c.

References _round_db_impl.

round_db_to_ushort_clamp()

MINLINE unsigned short round_db_to_ushort_clamp

(

double

a

)

Definition at line 258 of file math_base_inline.c.

References _round_clamp_db_impl.

round_fl_to_char()

MINLINE signed char round_fl_to_char

(

float

a

)

Definition at line 223 of file math_base_inline.c.

References _round_fl_impl.

round_fl_to_char_clamp()

MINLINE signed char round_fl_to_char_clamp

(

float

a

)

Definition at line 240 of file math_base_inline.c.

References _round_clamp_fl_impl.

round_fl_to_int()

MINLINE int round_fl_to_int

(

float

a

)

Definition at line 227 of file math_base_inline.c.

References _round_fl_impl.

Referenced by actkeys_framejump_exec(), align_frame_with_pixel(), ANIM_channel_draw_widgets(), area_move_apply_do(), area_snap_calc_location(), BLF_position(), BLI_timecode_string_from_time(), BLI_timecode_string_from_time_seconds(), change_frame_apply(), cmp_fn(), do_render_strip_uncached(), draw_background(), draw_channels(), draw_current_frame(), draw_seq_waveform_overlay(), ED_annotation_draw_view3d(), ED_area_global_max_size_y(), ED_area_global_min_size_y(), ED_area_global_size_y(), ED_markers_find_nearest_marker_time(), ED_markers_post_apply_transform(), ED_region_panel_category_gutter_calc_rect(), ED_region_panels_draw(), blender::ed::sculpt_paint::greasepencil::EraseOperationExecutor::execute(), file_draw_list(), file_draw_string(), flushTransSeq(), frame_from_event(), frame_from_event(), gather_frames_to_render_for_adt(), gpu_batch_preset_panel_drag_widget(), graphkeys_framejump_exec(), graphkeys_previewrange_exec(), graphview_cursor_apply(), handle_number_input(), icon_draw_rect(), blender::seq::image_size_to_thumb_size(), imagewraposa_aniso(), blender::compositor::BlurBaseOperation::init_data(), label_str_get(), MOD_meshcache_calc_range(), mouse_over_key_get_from_strip(), nlaedit_previewrange_exec(), blender::ed::space_node::node_draw_hidden(), blender::ed::outliner::outliner_draw_overrides_rna_buts(), panel_draw_aligned_widgets(), previewrange_define_exec(), recalcData_actedit(), recalcData_sequencer_retiming(), seq_get_thumb_image_dimensions(), seq_proxy_fetch(), SEQ_render_give_stripelem(), seq_render_movie_strip_custom_file_proxy(), seq_render_movie_strip_view(), SEQ_retiming_key_speed_get(), SEQ_retiming_key_speed_set(), SEQ_retiming_key_timeline_frame_get(), seq_snap_threshold_get_frame_distance(), seq_snap_threshold_get_frame_distance(), seq_speed_effect_target_frame_get(), seq_split_set_left_hold_offset(), seq_split_set_right_hold_offset(), SEQ_time_get_rounded_sound_offset(), sequencer_slip_exec(), blender::ed::greasepencil::snap_selected_frames(), transform_convert_sequencer_channel_clamp(), transform_snap_sequencer_calc_timeline(), ui_do_drag(), ui_numedit_but_NUM(), ui_numedit_but_SLI(), UI_panel_category_draw_all(), UI_preview_tile_size_x(), UI_preview_tile_size_y(), UI_preview_tile_size_y_no_label(), uiAlignPanelStep(), uilist_resize_update(), widget_draw_text(), widget_draw_text_icon(), wm_drag_imbuf_icon_height_get(), wm_drag_imbuf_icon_width_get(), and WM_event_drag_direction().

round_fl_to_int_clamp()

MINLINE int round_fl_to_int_clamp

(

float

a

)

Definition at line 248 of file math_base_inline.c.

References _round_clamp_fl_impl.

Referenced by ui_do_but_NUM().

round_fl_to_short()

MINLINE short round_fl_to_short

(

float

a

)

Definition at line 225 of file math_base_inline.c.

References _round_fl_impl.

Referenced by screen_geom_find_area_split_point(), and screen_geom_vertices_scale_pass().

round_fl_to_short_clamp()

MINLINE short round_fl_to_short_clamp

(

float

a

)

Definition at line 244 of file math_base_inline.c.

References _round_clamp_fl_impl.

round_fl_to_uchar()

MINLINE unsigned char round_fl_to_uchar

(

float

a

)

Definition at line 224 of file math_base_inline.c.

References _round_fl_impl.

Referenced by blender::color::ByteTraits::round().

round_fl_to_uchar_clamp()

MINLINE unsigned char round_fl_to_uchar_clamp

(

float

a

)

Definition at line 242 of file math_base_inline.c.

References _round_clamp_fl_impl.

Referenced by layerInterp_mcol(), and layerInterp_mloopcol().

round_fl_to_uint()

MINLINE unsigned int round_fl_to_uint

(

float

a

)

Definition at line 228 of file math_base_inline.c.

References _round_fl_impl.

Referenced by blf_ensure_size(), and blf_font_size().

round_fl_to_uint_clamp()

MINLINE unsigned int round_fl_to_uint_clamp

(

float

a

)

Definition at line 249 of file math_base_inline.c.

References _round_clamp_fl_impl, and UINT_MAX.

round_fl_to_ushort()

MINLINE unsigned short round_fl_to_ushort

(

float

a

)

Definition at line 226 of file math_base_inline.c.

References _round_fl_impl.

round_fl_to_ushort_clamp()

MINLINE unsigned short round_fl_to_ushort_clamp

(

float

a

)

Definition at line 246 of file math_base_inline.c.

References _round_clamp_fl_impl.

round_to_even()

MINLINE float round_to_even

(

float

f

)

Round to closest even number, halfway cases are rounded away from zero.

Definition at line 267 of file math_base_inline.c.

Referenced by blender::compositor::BlurBaseOperation::determine_canvas(), and blender::compositor::BokehBlurOperation::determine_canvas().

scalenorm()

MINLINE float scalenorm	(	float	a,
		float	b,
		float	x )

Map a normalized value, i.e. from interval [0, 1] to interval [a, b].

Definition at line 104 of file math_base_inline.c.

References b, BLI_assert, and x.

scalenormd()

MINLINE double scalenormd	(	double	a,
		double	b,
		double	x )

Map a normalized value, i.e. from interval [0, 1] to interval [a, b].

Definition at line 110 of file math_base_inline.c.

References b, BLI_assert, and x.

signf()

MINLINE float signf

(

float

f

)

Definition at line 621 of file math_base_inline.c.

Referenced by BKE_texture_mapping_init(), blender::ed::sculpt_paint::auto_mask::calc_cavity_factor(), compatible_signf(), TextureMapping::compute_transform(), computeBindWeights(), constraintSizeLim(), gizmo_cage2d_modal(), gizmo_cage3d_modal(), microfacet_beckmann_sample_vndf(), nonzerof(), shrinkwrap_snap_with_side(), sphg_dir(), svm_node_set_bump(), volume_draine_setup(), and volume_henyey_greenstein_setup().

signum_i()

MINLINE int signum_i

(

float

a

)

Definition at line 652 of file math_base_inline.c.

Referenced by bm_loop_collapse_is_degenerate(), get_uv_face_needle(), gizmo_cage2d_modal(), gizmo_cage3d_modal(), and blender::ed::object::vgroup_smooth_subset().

signum_i_ex()

MINLINE int signum_i_ex	(	float	a,
		float	eps )

Definition at line 639 of file math_base_inline.c.

References eps.

Referenced by bm_edge_calc_rotate_beauty__area().

sqrt3d()

MINLINE double sqrt3d

(

double

d

)

Definition at line 64 of file math_base_inline.c.

References exp(), log(), and UNLIKELY.

Referenced by solve_cubic().

sqrt3f()

MINLINE float sqrt3f

(

float

f

)

Definition at line 51 of file math_base_inline.c.

References exp(), float, log(), and UNLIKELY.

Referenced by ui_numedit_but_HSVCIRCLE().

sqrtf_signed()

MINLINE float sqrtf_signed

(

float

f

)

Definition at line 77 of file math_base_inline.c.

References sqrtf.

Referenced by invGammaCorrect(), mesh_calc_eigen_matrix(), and modify_mesh().

square_d()

MINLINE double square_d

(

double

a

)

Definition at line 365 of file math_base_inline.c.

square_f()

MINLINE float square_f

(

float

a

)

Definition at line 360 of file math_base_inline.c.

Referenced by BKE_brush_jitter_pos(), bm_edge_symmetry_map(), bm_edgexedge_isect_impl(), bm_edgexvert_isect_impl(), BM_mesh_intersect_edges(), bmo_planar_faces_exec(), blender::ed::sculpt_paint::brush_delta_update(), calc_duplicates_fast(), calctrackballvec(), cloth_collision_response_static(), cloth_selfcollision_response_static(), contarget_get_mesh_mat(), blender::ed::curves::curve_draw_event_add(), curve_draw_event_add(), blender::ed::curves::curve_draw_exec_precalc(), curve_draw_exec_precalc(), curve_draw_modal(), blender::ed::curves::curves_draw_modal(), blender::deform_drawing(), deformVerts_do(), dist_squared_ray_to_seg_v3(), draw_culling_sphere_test(), dynamic_paint_find_island_border(), ED_armature_from_edit(), ED_transform_snap_object_project_view3d_ex(), EDBM_verts_mirror_cache_begin_ex(), execute_posetree(), gizmo_arrow_test_select(), blender::workbench::CavityEffect::init(), isect_seg_seg_v2_point_ex(), len_squared_vnvn(), blender::bke::pbvh::long_edge_queue_edge_add_recursive(), mat4_to_dquat(), mesh_edges_spherecast(), blender::geometry::mesh_merge_by_distance_connected(), mesh_remove_doubles_on_axis(), mouse_to_plane_slide_zone_distance_squared(), mouse_to_slide_zone_distance_squared(), blender::ed::space_node::node_under_mouse_tweak(), object_mouse_select_menu(), blender::ed::sculpt_paint::paint_smooth_stroke(), py_bvhtree_find_nearest_range(), blender::eevee::Sampling::sample_ball(), blender::eevee::Sampling::sample_hemisphere(), blender::eevee::Sampling::sample_sphere(), seq_select_seq_from_preview(), snap_target_uv_fn(), sphere_normal_from_uv(), spline_under_mouse_get(), blender::eevee::BackgroundPipeline::sync(), ui_do_but_CURVE(), ui_do_but_CURVEPROFILE(), uv_find_nearest_edge(), uv_find_nearest_vert(), uv_image_outset(), uv_nearest_hit_init_dist_px(), v3d_cursor_plane_draw(), warpModifier_do(), and WM_gesture_lasso_modal().

square_i()

MINLINE int square_i

(

int

a

)

Definition at line 345 of file math_base_inline.c.

Referenced by area_actionzone_refresh_xy(), BKE_pbvh_get_grid_num_faces(), ED_image_paint_tile_find(), ED_image_paint_tile_push(), blender::draw::pbvh::ensure_vbos_allocated_grids(), blender::draw::pbvh::fill_vbo_face_set_grids(), blender::eevee::Sampling::init(), blender::eevee::ShadowModule::init(), blender::eevee::SphereProbeAtlasCoord::LocationFinder::LocationFinder(), multires_grid_paint_mask_downsample(), multires_mdisps_downsample_hidden(), multires_mdisps_upsample_hidden(), blender::eevee::Film::pixel_jitter_get(), blender::eevee::Sampling::step(), blender::draw::test_eevee_shadow_page_mask_ex(), blender::draw::test_eevee_shadow_shift_clear(), and utile_alloc().

square_s()

MINLINE int square_s

(

short

a

)

Definition at line 340 of file math_base_inline.c.

Referenced by project_state_init().

square_uchar()

MINLINE int square_uchar

(

unsigned char

a

)

Definition at line 355 of file math_base_inline.c.

square_uint()

MINLINE unsigned int square_uint

(

unsigned int

a

)

Definition at line 350 of file math_base_inline.c.

Referenced by blender::draw::pbvh::create_lines_index_grids_flat_layout(), and blender::draw::pbvh::create_tri_index_grids_flat_layout().

ulp_diff_ff()

MINLINE uint ulp_diff_ff	(	float	a,
		float	b )

Computes the distance between two floats in ulps.

In other words, returns zero if the floats are exactly equal, and otherwise returns 1 plus the number of (unique) representable floats between a and b on the number line.

Notes:

• The order of a and b doesn't matter. The returned value is the absolute difference.
• Unlike many ulp difference functions, this function handles the difference between positive and negative floats in a meaningful way. It returns the number (plus 1) of representable floats between those two values as they would be arranged on a number line.
• Zero and negative zero are not considered unique from each other. They are counted together as a single float in the difference.
• NaNs are not handled meaningfully. If either number is NaN, this function returns uint max (0xffffffff).

Definition at line 565 of file math_base_inline.c.

References b, and BLI_assert.

Referenced by compare_ff_relative(), normalization_factor_get(), blender::tests::TEST(), and blender::animrig::tests::AnimationEvaluationTest::test_evaluate_layer().

Variable Documentation

NAN_INT

const int NAN_INT = 0x7FC00000

static

Definition at line 100 of file BLI_math_base.h.