#include "BLI_assert.h"
#include "BLI_math_constants.h"
#include "BLI_math_inline.h"
#include "BLI_sys_types.h"
#include "intern/math_base_inline.cc"

Macros
#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_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 int	square_s (short a)
MINLINE int	square_i (int a)
MINLINE unsigned int	square_uint (unsigned int a)
MINLINE float	square_f (float a)
MINLINE int	cube_i (int a)
MINLINE float	cube_f (float 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	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 int	clamp_i (int value, int min, int max)
MINLINE float	clamp_f (float value, float min, float 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	increment_ulp (float value)
MINLINE float	decrement_ulp (float value)
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 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 unsigned char	round_fl_to_uchar (float a)
MINLINE short	round_fl_to_short (float a)
MINLINE int	round_fl_to_int (float a)
MINLINE unsigned int	round_fl_to_uint (float a)
MINLINE int	round_db_to_int (double a)
MINLINE unsigned char	round_fl_to_uchar_clamp (float a)
MINLINE int	round_fl_to_int_clamp (float a)
MINLINE unsigned char	round_db_to_uchar_clamp (double a)
MINLINE short	round_db_to_short_clamp (double a)
MINLINE int	round_db_to_int_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 = euler rotation.
eulO = euler with order.
plane = plane 4, (vec3, distance).
plane3 = plane 3, (same as a plane 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 315 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 316 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 357 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 338 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 330 of file BLI_math_base.h.

Referenced by angle_normalized_v2v2(), project_v2_v2v2_normalized(), blender::ed::transform::setCustomPointsFromDirection(), shell_v2v2_mid_normalized_to_dist(), shell_v2v2_normalized_to_dist(), 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 322 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(), blender::ed::transform::createSpaceNormalTangent(), cubic_tangent_factor_circle_v3(), blender::ed::sculpt_paint::brushes::do_clay_brush(), ED_armature_ebone_roll_to_vector(), 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(), blender::ed::transform::snap_object_project_view3d_ex(), and vec_roll_to_mat3_normalized().

◆ 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 346 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 352 of file BLI_math_base.h.

Referenced by ED_view3d_check_mats_rv3d().

◆ NAN_FLT

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

Definition at line 57 of file BLI_math_base.h.

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

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.cc.

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 244 of file math_base_inline.cc.

References b, divide_ceil_u(), and MINLINE.

Referenced by blender::gpu::GLImmediate::begin(), 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::gpu::VertBuf::from_size_with_format(), blender::gpu::VertBuf::from_span(), blender::gpu::VertBuf::from_varray(), blender::eevee::IrradianceBake::raylists_build(), blender::eevee::RayTraceModule::render(), blender::eevee::SubsurfaceModule::render(), blender::draw::gpencil::render_frame(), 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 249 of file math_base_inline.cc.

References b, divide_ceil_ul(), and MINLINE.

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

◆ clamp_f()

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

Definition at line 445 of file math_base_inline.cc.

References max, min, and MINLINE.

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::nodes::node_shader_mix_rgb_cc::MixRGBFunction::call(), blender::draw::gpencil::cdf_invert(), blender::eevee::Sampling::cdf_invert(), blender::ed::sculpt_paint::expand::colors_update_task(), blender::nodes::node_composite_lensdist_cc::LensDistortionOperation::compute_chromatic_distortion(), blender::bke::pbvh::pixels::Rows::determine_mix_factor(), do_clump_level(), blender::bke::pbvh::pixels::do_encode_pixels(), do_rough_curve(), draw_main_line(), blender::ed::vse::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::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(), blender::ed::vse::get_seq_strip_thumbnails(), blender::seq::give_frame_index(), gizmo_spot_blend_prop_matrix_set(), IMB_gpu_clamp_half_float(), blender::eevee::Film::init(), blender::workbench::ShadowPass::init(), 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::draw::gpencil::remap_depth(), blender::draw::gpencil::render_frame(), rotlimit_evaluate(), scrollbar_keep_scrolling(), scrollbar_set_thumbpos(), scrollbar_start_scrolling(), 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(), GPUNodeStack::socket_is_one(), GPUNodeStack::socket_not_one(), GPUNodeStack::socket_not_zero(), 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(), blender::ed::object::voxel_size_edit_invoke(), blender::ed::object::voxel_size_edit_modal(), and WM_xr_session_state_vignette_update().

◆ clamp_i()

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

Definition at line 440 of file math_base_inline.cc.

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

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(), blender::gpu::blit_aspect(), calculate_fpt_bounds(), blender::ed::asset::clamp_point_to_window(), blender::gpu::convert(), blender::seq::do_adjustment_impl(), blender::seq::draw_text_outline(), blender::eevee::VolumeModule::end_sync(), get_bounding_bezt_index_range(), get_bounding_bezt_indices(), blender::eevee::ShadowModule::init(), blender::eevee::VolumeModule::init(), blender::draw::pack_rotation_aspect_hardness_miter(), playanim_change_frame(), blender::ed::sculpt_paint::face_set::randomize_colors_exec(), RE_bake_pixels_populate(), blender::gpu::VKFrameBuffer::render_area_update(), scrollbar_get_thumbH(), smooth_fcurve_segment(), twist_get_axis(), ui_do_drag(), UI_panel_category_draw_all(), and volume_sequence_frame().

◆ 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 456 of file math_base_inline.cc.

References b, fabsf, and MINLINE.

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 492 of file math_base_inline.cc.

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

Referenced by blender::ed::object::apply_objects_internal(), BKE_bezier_array_merge(), compare_v2_classify(), 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 503 of file math_base_inline.cc.

References fabsf, and MINLINE.

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

◆ cube_f()

MINLINE float cube_f ( float a )

Definition at line 313 of file math_base_inline.cc.

References MINLINE.

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

◆ cube_i()

MINLINE int cube_i ( int a )

Definition at line 308 of file math_base_inline.cc.

References MINLINE.

Referenced by BKE_lightprobe_grid_cache_frame_sample_count().

◆ decrement_ulp()

MINLINE float decrement_ulp ( float value )

Decrement the given float to the next representable floating point value in the negative direction.

Infinities and NaNs are left untouched. Subnormal numbers are handled correctly, as is zero (i.e. 0 and -0 are considered a single value, and progressing past zero continues on to the negative numbers).

Definition at line 540 of file math_base_inline.cc.

References i, MINLINE, and v.

◆ 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 234 of file math_base_inline.cc.

References b, and MINLINE.

Referenced by 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::command::DrawMultiBuf::generate_commands(), 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 239 of file math_base_inline.cc.

References b, and MINLINE.

Referenced by ceil_to_multiple_ul(), blender::array_utils::compute_sum(), blender::seq::evict_caches_if_full(), 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 218 of file math_base_inline.cc.

References b, and MINLINE.

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.cc.

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

Referenced by Color_to_tuple_ex(), Euler_to_tuple_ex(), Quaternion_to_tuple_ext(), 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.cc.

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 259 of file math_base_inline.cc.

References floorf, and MINLINE.

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::math::wrap_coord().

◆ increment_ulp()

MINLINE float increment_ulp ( float value )

Increment the given float to the next representable floating point value in the positive direction.

Infinities and NaNs are left untouched. Subnormal numbers are handled correctly, as is crossing zero (i.e. 0 and -0 are considered a single value, and progressing past zero continues on to the positive numbers).

Definition at line 515 of file math_base_inline.cc.

References i, MINLINE, and v.

◆ 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 608 of file math_base_inline.cc.

References fabs(), floor, and MINLINE.

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 603 of file math_base_inline.cc.

References fabs(), floor, and MINLINE.

Referenced by ui_but_string_get_ex().

◆ integer_digits_i()

MINLINE int integer_digits_i ( int i )

Definition at line 613 of file math_base_inline.cc.

References i, and MINLINE.

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

◆ interpd()

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

Definition at line 82 of file math_base_inline.cc.

References MINLINE.

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 77 of file math_base_inline.cc.

References MINLINE.

Referenced by blender::ed::transform::applyCurveShrinkFatten(), blender::ed::transform::applyGPOpacity(), blender::ed::transform::applyMaskShrinkFatten(), BKE_curveprofile_evaluate_length_portion(), BKE_pchan_bbone_spline_compute(), blend_to_default_fcurve(), blend_to_neighbor_fcurve_segment(), bm_decim_edge_collapse(), bmo_vert_calc_edge_angle_blended(), breakdown_fcurve_segment(), butterworth_calculate_blend_value(), butterworth_smooth_fcurve_segment(), computeBindWeights(), create_samples_even_spacing(), data_transfer_interp_float_do(), draw_start_vertex_circle(), evaluate_time_fmodifiers(), evaluate_value_fmodifiers(), fcurve_eval_samples(), find_bbone_segment_index_curved(), imm_draw_circle_partial(), imm_draw_circle_partial_3d(), imm_draw_disk_partial(), imm_draw_disk_partial_3d(), insert_bezt_to_nurb(), insert_bp_to_nurb(), interp_bpoint(), interp_slerp_co_no_v3(), lineart_chain_create_crossing_point(), lineart_shadow_edge_cut(), MOD_lineart_chain_feature_lines(), 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(), weight_set_exec(), and WM_xr_session_state_vignette_update().

◆ is_power_of_2_i()

MINLINE int is_power_of_2_i ( int n )

Definition at line 104 of file math_base_inline.cc.

References MINLINE.

Referenced by blf_batch_draw(), findBitIndex(), FlipDXTCImage(), get_profile_point(), IMB_create_gpu_texture(), log2_ceil_u(), blender::bke::mesh_calc_edges(), blender::bke::GeometrySet::operator<<, 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 147 of file math_base_inline.cc.

References is_power_of_2_i(), log2_floor_u(), MINLINE, and x.

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

◆ log2_floor_u()

MINLINE unsigned int log2_floor_u ( unsigned int x )

Definition at line 142 of file math_base_inline.cc.

References log2_floor_u(), MINLINE, and x.

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

◆ max_dd()

MINLINE double max_dd	(	double	a,
		double	b )

Definition at line 358 of file math_base_inline.cc.

References b, and MINLINE.

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 390 of file math_base_inline.cc.

References b, max_dd(), and MINLINE.

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

◆ max_ff()

MINLINE float max_ff	(	float	a,
		float	b )

Definition at line 324 of file math_base_inline.cc.

References b, and MINLINE.

◆ max_fff()

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

Definition at line 399 of file math_base_inline.cc.

References b, max_ff(), and MINLINE.

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(), mat4_to_size_max_axis(), max_ffff(), 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 417 of file math_base_inline.cc.

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

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 367 of file math_base_inline.cc.

References b, and MINLINE.

◆ max_iii()

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

Definition at line 408 of file math_base_inline.cc.

References b, max_ii(), and MINLINE.

Referenced by blo_do_versions_260(), blo_do_versions_420(), blender::gpu::Texture::init_3D(), max_iiii(), and blender::ed::vse::thumb_calc_first_timeline_frame().

◆ max_iiii()

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

Definition at line 426 of file math_base_inline.cc.

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

Referenced by _bli_array_iter_spiral_square().

◆ max_uu()

MINLINE uint max_uu	(	uint	a,
		uint	b )

Definition at line 376 of file math_base_inline.cc.

References b, and MINLINE.

Referenced by blender::gpu::MTLCircularBuffer::allocate_range_aligned(), blender::draw::select::SelectMap::end_sync(), 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(), blender::gpu::MTLScratchBufferManager::scratch_buffer_allocate_range_aligned(), and blender::gpu::VKContext::sync_backbuffer().

◆ min_dd()

MINLINE double min_dd	(	double	a,
		double	b )

Definition at line 354 of file math_base_inline.cc.

References b, and MINLINE.

◆ min_ff()

MINLINE float min_ff	(	float	a,
		float	b )

Definition at line 320 of file math_base_inline.cc.

References b, and MINLINE.

◆ min_fff()

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

◆ min_ffff()

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

Definition at line 413 of file math_base_inline.cc.

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

Referenced by calculate_bezt_draw_resolution(), closest_seg_seg_v2(), 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 363 of file math_base_inline.cc.

References b, and MINLINE.

◆ min_iii()

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

Definition at line 404 of file math_base_inline.cc.

References b, min_ii(), and MINLINE.

Referenced by blender::eevee::Instance::light_bake_irradiance(), blender::seq::MaskSamplerDirectByte::load_mask_min(), blender::seq::MaskSamplerTransformedByte::load_mask_min(), min_iiii(), and blender::ed::object::parent_set_vert_find().

◆ min_iiii()

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

Definition at line 422 of file math_base_inline.cc.

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

Referenced by _bli_array_iter_spiral_square().

◆ min_uu()

MINLINE uint min_uu	(	uint	a,
		uint	b )

Definition at line 372 of file math_base_inline.cc.

References b, and MINLINE.

Referenced by blender::gpu::VKBackend::capabilities_init(), blender::draw::command::Draw::Draw(), GPU_indexbuf_build_curves_on_device(), GPU_indexbuf_join(), ibJpegImageFromCinfo(), blender::draw::StorageArrayBuffer< float2, 16 >::resize(), blender::gpu::MTLContext::texture_unbind(), and blender::gpu::MTLContext::texture_unbind_all().

◆ 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 254 of file math_base_inline.cc.

References i, and MINLINE.

Referenced by blender::nodes::node_geo_instance_on_points_cc::add_instances_from_component(), BKE_nurb_index_from_uv(), bridge_loop_pair(), blender::compositor::convolve(), 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 29 of file math_base_inline.cc.

References MINLINE, and x.

◆ pow3f()

MINLINE float pow3f ( float x )

Definition at line 33 of file math_base_inline.cc.

References MINLINE, 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 37 of file math_base_inline.cc.

References MINLINE, pow2f(), and x.

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 45 of file math_base_inline.cc.

References MINLINE, 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.cc.

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 99 of file math_base_inline.cc.

References ceil, log, M_LN2, MINLINE, and pow.

Referenced by clip_view_calculate_view_selection(), image_view_all(), rgb_to_rgbe(), blender::ed::vse::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 109 of file math_base_inline.cc.

References is_power_of_2_i(), and MINLINE.

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

◆ power_of_2_max_u()

MINLINE unsigned int power_of_2_max_u ( unsigned int x )

Definition at line 131 of file math_base_inline.cc.

References MINLINE, and x.

Referenced by blender::draw::StorageVectorBuffer< IrradianceBrickPacked, 16 >::append_as(), BLI_array_store_at_size_ensure(), BLI_mempool_create(), blender::draw::StorageArrayBuffer< float2, 16 >::get_or_resize(), and blender::draw::StorageArrayBuffer< float2, 16 >::trim_to_next_power_of_2().

◆ power_of_2_min_i()

MINLINE int power_of_2_min_i ( int n )

Definition at line 122 of file math_base_inline.cc.

References is_power_of_2_i(), and MINLINE.

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

◆ ratiod()

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

Definition at line 93 of file math_base_inline.cc.

References max, min, MINLINE, 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 87 of file math_base_inline.cc.

References max, min, MINLINE, and pos.

Referenced by lineart_chain_create_crossing_point(), and blender::ed::vse::sequencer_draw_scopes().

◆ round_db_to_int()

MINLINE int round_db_to_int ( double a )

Definition at line 195 of file math_base_inline.cc.

References _round_db_impl, and MINLINE.

Referenced by action_main_region_draw(), dopesheet_region_draw(), blender::ed::vse::draw_timeline_seq(), graph_main_region_draw(), graph_region_draw(), nla_main_region_draw(), UI_view2d_draw_lines_x__discrete_frames_or_seconds(), UI_view2d_draw_lines_x__frames_or_seconds(), and UI_view2d_grid_resolution_x__frames_or_seconds().

◆ round_db_to_int_clamp()

MINLINE int round_db_to_int_clamp ( double a )

Definition at line 208 of file math_base_inline.cc.

References _round_clamp_db_impl.

Referenced by ui_but_value_set().

◆ round_db_to_short_clamp()

MINLINE short round_db_to_short_clamp ( double a )

Definition at line 206 of file math_base_inline.cc.

References _round_clamp_db_impl.

Referenced by ui_but_value_set().

◆ round_db_to_uchar_clamp()

MINLINE unsigned char round_db_to_uchar_clamp ( double a )

Definition at line 204 of file math_base_inline.cc.

References _round_clamp_db_impl, and MINLINE.

Referenced by ui_but_value_set().

◆ round_fl_to_int()

MINLINE int round_fl_to_int ( float a )

Definition at line 192 of file math_base_inline.cc.

References _round_fl_impl.

Referenced by actkeys_framejump_exec(), blender::ed::vse::align_frame_with_pixel(), ANIM_channel_draw_widgets(), blender::ed::transform::applySeqSlide(), area_move_apply_do(), area_snap_calc_location(), BLF_position(), BLI_timecode_string_from_time(), BLI_timecode_string_from_time_seconds(), change_frame_apply(), blender::ed::transform::cmp_fn(), blender::seq::do_render_strip_uncached(), draw_background(), blender::ed::vse::draw_channels(), blender::ed::vse::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_fileselect_init_layout(), 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_add_icon_but(), file_draw_list(), file_draw_string(), blender::ed::transform::flushTransSeq(), frame_from_event(), frame_from_event(), gather_frames_to_render_for_adt(), graphkeys_framejump_exec(), graphkeys_previewrange_exec(), graphview_cursor_apply(), icon_draw_rect(), blender::seq::image_size_to_thumb_size(), blender::ed::vse::label_str_get(), MOD_meshcache_calc_range(), blender::ed::vse::mouse_over_key_get_from_strip(), nlaedit_previewrange_exec(), blender::ed::space_node::node_draw_basis(), blender::ed::space_node::node_draw_collapsed(), blender::ed::outliner::outliner_draw_overrides_rna_buts(), panel_draw_aligned_widgets(), blender::ui::AbstractTreeView::persistent_state_apply(), previewrange_define_exec(), blender::ed::transform::recalcData_actedit(), blender::ed::transform::recalcData_sequencer_retiming(), blender::seq::render_give_stripelem(), blender::seq::retiming_key_speed_get(), blender::seq::retiming_key_speed_set(), blender::seq::retiming_key_timeline_frame_get(), blender::seq::seq_proxy_fetch(), blender::seq::seq_render_movie_strip_custom_file_proxy(), blender::seq::seq_render_movie_strip_view(), blender::ed::transform::seq_snap_threshold_get_frame_distance(), blender::seq::seq_split_set_left_hold_offset(), blender::seq::seq_split_set_right_hold_offset(), blender::ed::vse::sequencer_main_cursor(), blender::ed::vse::sequencer_slip_modal(), blender::ed::vse::sequencer_split_invoke(), blender::ed::transform::snap_calc_timeline(), blender::ed::greasepencil::snap_selected_frames(), blender::ed::vse::strip_get_thumb_image_dimensions(), blender::seq::strip_speed_effect_target_frame_get(), blender::ed::vse::sync_active_scene_and_time_with_scene_strip(), text_draw_rect_get(), blender::seq::time_get_rounded_sound_offset(), blender::ed::transform::transform_convert_sequencer_clamp(), 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(), view2d_draw_lines(), widget_draw_text(), widget_draw_text_icon(), wm_drag_imbuf_icon_height_get(), wm_drag_imbuf_icon_width_get(), WM_event_drag_direction(), and wm_software_cursor_draw_bitmap().

◆ round_fl_to_int_clamp()

MINLINE int round_fl_to_int_clamp ( float a )

Definition at line 202 of file math_base_inline.cc.

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 191 of file math_base_inline.cc.

References _round_fl_impl.

Referenced by screen_geom_find_area_split_point(), and screen_geom_vertices_scale_pass().

◆ round_fl_to_uchar()

MINLINE unsigned char round_fl_to_uchar ( float a )

Definition at line 190 of file math_base_inline.cc.

References _round_fl_impl, and MINLINE.

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

◆ round_fl_to_uchar_clamp()

MINLINE unsigned char round_fl_to_uchar_clamp ( float a )

Definition at line 200 of file math_base_inline.cc.

References _round_clamp_fl_impl, and MINLINE.

Referenced by blend_color_softlight_byte(), layerInterp_mcol(), and layerInterp_mloopcol().

◆ round_fl_to_uint()

MINLINE unsigned int round_fl_to_uint ( float a )

Definition at line 193 of file math_base_inline.cc.

References _round_fl_impl.

Referenced by blf_ensure_size(), and blf_font_size().

◆ 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 213 of file math_base_inline.cc.

References MINLINE, and roundf.

◆ signf()

◆ signum_i()

MINLINE int signum_i ( float a )

Definition at line 592 of file math_base_inline.cc.

References MINLINE.

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

◆ signum_i_ex()

MINLINE int signum_i_ex	(	float	a,
		float	eps )

Definition at line 581 of file math_base_inline.cc.

References eps, and MINLINE.

Referenced by BLI_polyfill_edge_calc_rotate_beauty__area().

◆ sqrt3d()

MINLINE double sqrt3d ( double d )

Definition at line 61 of file math_base_inline.cc.

References exp, log, MINLINE, and UNLIKELY.

Referenced by solve_cubic().

◆ sqrt3f()

MINLINE float sqrt3f ( float f )

Definition at line 50 of file math_base_inline.cc.

References exp, float, log, MINLINE, and UNLIKELY.

Referenced by ui_numedit_but_HSVCIRCLE().

◆ sqrtf_signed()

MINLINE float sqrtf_signed ( float f )

Definition at line 72 of file math_base_inline.cc.

References MINLINE, and sqrtf.

Referenced by blender::seq::invGammaCorrect(), mesh_calc_eigen_matrix(), and modify_mesh().

◆ square_f()

MINLINE float square_f ( float a )

Definition at line 301 of file math_base_inline.cc.

References MINLINE.

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(), dynamic_paint_find_island_border(), EDBM_verts_mirror_cache_begin_ex(), execute_posetree(), gizmo_arrow_test_select(), blender::workbench::CavityEffect::init(), is_quad_convex_v3(), isect_seg_seg_v2_point_ex(), len_squared_vnvn(), blender::bke::pbvh::long_edge_queue_edge_add_recursive(), mat4_to_dquat(), blender::bke::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(), 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(), blender::ed::transform::snap_object_project_view3d_ex(), blender::ed::transform::snap_target_uv_fn(), sphere_normal_from_uv(), spline_under_mouse_get(), blender::ed::vse::strip_select_from_preview(), blender::eevee::BackgroundPipeline::sync(), blender::bke::tests::TEST(), 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 291 of file math_base_inline.cc.

References MINLINE.

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_face_sets_grids(), blender::eevee::Sampling::init(), blender::eevee::ShadowModule::init(), blender::eevee::SphereProbeAtlasCoord::LocationFinder::LocationFinder(), multires_grid_paint_mask_downsample(), multires_mdisps_downsample_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 286 of file math_base_inline.cc.

References MINLINE.

Referenced by project_state_init().

◆ square_uint()

MINLINE unsigned int square_uint ( unsigned int a )

Definition at line 296 of file math_base_inline.cc.

References MINLINE.

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 461 of file math_base_inline.cc.

References b, BLI_assert, i, and MINLINE.

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 56 of file BLI_math_base.h.

Macros

Functions

Variables

Detailed Description

Abbreviations

Function Type Abbreviations

Variable Names

Macro Definition Documentation

◆ BLI_ASSERT_UNIT_EPSILON

◆ BLI_ASSERT_UNIT_EPSILON_DB

◆ BLI_ASSERT_UNIT_M3

◆ BLI_ASSERT_UNIT_QUAT

◆ BLI_ASSERT_UNIT_V2

◆ BLI_ASSERT_UNIT_V3

◆ BLI_ASSERT_ZERO_M3

◆ BLI_ASSERT_ZERO_M4

◆ NAN_FLT

Function Documentation

◆ ceil_power_of_10()

◆ ceil_to_multiple_u()

◆ ceil_to_multiple_ul()

◆ clamp_f()

◆ clamp_i()

◆ compare_ff()

◆ compare_ff_relative()

◆ compare_threshold_relative()

◆ cube_f()

◆ cube_i()

◆ decrement_ulp()

◆ divide_ceil_u()

◆ divide_ceil_ul()

◆ divide_round_i()

◆ double_round()

◆ floor_power_of_10()

◆ floored_fmod()

◆ increment_ulp()

◆ integer_digits_d()

◆ integer_digits_f()

◆ integer_digits_i()

◆ interpd()

◆ interpf()

◆ is_power_of_2_i()

◆ log2_ceil_u()

◆ log2_floor_u()

◆ max_dd()

◆ max_ddd()

◆ max_ff()

◆ max_fff()

◆ max_ffff()

◆ max_ii()

◆ max_iii()

◆ max_iiii()

◆ max_uu()

◆ min_dd()

◆ min_ff()

◆ min_fff()

◆ min_ffff()

◆ min_ii()

◆ min_iii()

◆ min_iiii()

◆ min_uu()

◆ mod_i()

◆ pow2f()

◆ pow3f()

◆ pow4f()

◆ pow7f()

◆ pow_i()

◆ power_of_2()

◆ power_of_2_max_i()

◆ power_of_2_max_u()

◆ power_of_2_min_i()

◆ ratiod()

◆ ratiof()

◆ round_db_to_int()

◆ round_db_to_int_clamp()

◆ round_db_to_short_clamp()

◆ round_db_to_uchar_clamp()

◆ round_fl_to_int()

◆ round_fl_to_int_clamp()

◆ round_fl_to_short()