Blender: BLI_math_base.h File Reference

Blender V2.59

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

Go to the source code of this file.

Defines
#define	M_PI 3.14159265358979323846
#define	M_PI_2 1.57079632679489661923
#define	M_SQRT2 1.41421356237309504880
#define	M_SQRT1_2 0.70710678118654752440
#define	M_1_PI 0.318309886183790671538
#define	M_E 2.7182818284590452354
#define	M_LOG2E 1.4426950408889634074
#define	M_LOG10E 0.43429448190325182765
#define	M_LN2 0.69314718055994530942
#define	M_LN10 2.30258509299404568402
#define	MAXFLOAT ((float)3.40282347e+38)
#define	sqrtf(a) ((float)sqrt(a))
#define	powf(a, b) ((float)pow(a, b))
#define	cosf(a) ((float)cos(a))
#define	sinf(a) ((float)sin(a))
#define	acosf(a) ((float)acos(a))
#define	asinf(a) ((float)asin(a))
#define	atan2f(a, b) ((float)atan2(a, b))
#define	tanf(a) ((float)tan(a))
#define	atanf(a) ((float)atan(a))
#define	floorf(a) ((float)floor(a))
#define	ceilf(a) ((float)ceil(a))
#define	fabsf(a) ((float)fabs(a))
#define	logf(a) ((float)log(a))
#define	expf(a) ((float)exp(a))
#define	fmodf(a, b) ((float)fmod(a, b))
#define	hypotf(a, b) ((float)hypot(a, b))
#define	SWAP(type, a, b) { type sw_ap; sw_ap=(a); (a)=(b); (b)=sw_ap; }
#define	CLAMP(a, b, c) if((a)<(b)) (a)=(b); else if((a)>(c)) (a)=(c)
Functions
MINLINE float	sqrt3f (float f)
MINLINE double	sqrt3d (double d)
MINLINE float	saacosf (float f)
MINLINE float	saasinf (float f)
MINLINE float	sasqrtf (float f)
MINLINE float	saacos (float fac)
MINLINE float	saasin (float fac)
MINLINE float	sasqrt (float fac)
MINLINE float	interpf (float a, float b, float t)
MINLINE float	minf (float a, float b)
MINLINE float	maxf (float a, float b)
MINLINE float	signf (float f)
MINLINE float	power_of_2 (float f)
MINLINE float	shell_angle_to_dist (float angle)
double	double_round (double x, int ndigits)

Detailed Description

Definition in file BLI_math_base.h.

Define Documentation

#define acosf ( a ) ((float)acos(a))

Definition at line 95 of file BLI_math_base.h.

Referenced by btAcos(), draw_rotation_guide(), and saacosf().

#define asinf ( a ) ((float)asin(a))

Definition at line 98 of file BLI_math_base.h.

Referenced by btAsin(), flyApply_ndof(), and saasinf().

#define atan2f	(		a,
			b
	)		((float)atan2(a, b))

Definition at line 101 of file BLI_math_base.h.

Referenced by btAtan2(), drawHelpline(), imp2radangle(), load_tex(), map_to_sphere(), project_bucket_clip_face(), project_from_camera(), tex_strength(), ui_hsvcircle_vals_from_pos(), and wm_gesture_evaluate().

#define atanf ( a ) ((float)atan(a))

Definition at line 107 of file BLI_math_base.h.

Referenced by btAtan(), drawmball(), lens_to_angle(), and vectorscope_draw_target().

#define ceilf ( a ) ((float)ceil(a))

Definition at line 113 of file BLI_math_base.h.

Referenced by bake_rasterize(), BKE_text_to_curve(), ewa_eval(), rasterize_half(), ui_fontscale(), and widget_scroll().

#define CLAMP	(		a,
			b,
			c
	)		if((a)<(b)) (a)=(b); else if((a)>(c)) (a)=(c)

Definition at line 144 of file BLI_math_base.h.

#define cosf ( a ) ((float)cos(a))

#define expf ( a ) ((float)exp(a))

Definition at line 122 of file BLI_math_base.h.

Referenced by btExp(), distlimit_evaluate(), fglow(), LbmFsgrSolver::LbmFsgrSolver(), vol_get_transmittance(), and waveModifier_do().

#define fabsf ( a ) ((float)fabs(a))

Definition at line 116 of file BLI_math_base.h.

Referenced by alter_co(), applyModifier(), area_poly_v3(), area_tri_v2(), axisProjection(), b_bone_spline_setup(), barycentric_weights(), btFabs(), check_zone(), cmp_uv(), compare_v3v3(), compare_v4v4(), compatible_bump_compute(), compatible_bump_uv_derivs(), cuboid_do(), dist_to_line_v2(), do_displace(), do_material_tex(), do_versions(), draw_bb_quadric(), draw_ptcache_edit(), draw_rotation_guide(), draw_uvs_stretch(), draw_view_axis(), drawlamp(), edgetag_cut_cost(), EM_make_uv_vert_map(), esubdivideflag(), extrudeflag_edge(), extrudeflag_vert(), ff_visible_quad(), find_nearest_uv_vert(), find_vertex_tangent(), flyApply(), flyApply_ndof(), get_graph_keyframe_extents(), gp_draw_stroke_3d(), gp_draw_stroke_buffer(), graphkeys_euler_filter_exec(), handleNumInput(), InitTriInfo(), invert_m4_m4(), is_orthogonal_m3(), is_orthogonal_m4(), isect_sweeping_sphere_tri_v3(), line_clip_rect2f(), line_isect_x(), line_isect_y(), make_uv_vert_map(), measure_facepair(), mixImages(), my_get_local_bounds(), nearest_point_in_tri_surface(), NotZero(), nr_distance_to_edge(), object_get_dimensions(), occ_visible_quad(), p_edge_implicit_seam(), paint_calc_object_space_radius(), param_average(), precalc_wipe_zone(), project_brush_radius(), project_bucket_clip_face(), project_from_view(), psys_get_birth_coordinates(), psys_get_texture(), quat_to_axis_angle(), quat_to_mat3(), quat_to_mat4(), ramp_blend(), rasterize_half(), sculpt_clip(), select_linked_flat_faces(), select_sharp_edges_exec(), shell_angle_to_dist(), similar_edge_select__internal(), similar_face_select__internal(), simpleDeform_bend(), smooth_vertex(), splineik_evaluate_bone(), sticky_select(), sum_or_add_vertex_tangent(), svd_m4(), texture_value_blend(), ui_numedit_but_NUM(), UI_view2d_listview_view_to_cell(), and waveModifier_do().

#define floorf ( a ) ((float)floor(a))

Definition at line 110 of file BLI_math_base.h.

Referenced by apply_keyb_grid(), bglPointHack(), bilinear_interpolation_color(), bilinear_interpolation_color_wrap(), BKE_image_buf_fill_checker(), calcknots(), do_math(), draw_image_grid(), drawgrid_draw(), ED_markers_post_apply_transform(), evaluate_fcurve(), ewa_eval(), flushTransGraphData(), hsv_to_rgb(), ibuf_get_color_clip_bilerp(), imagewrap(), imagewraposa_aniso(), imapaint_convert_brushco(), mod_inline(), snap_bezier_nearest(), snap_curs_to_grid(), snap_sel_to_grid(), texco_mapping(), ui_but_to_pixelrect(), UI_ColorPtrBlendShade3ubv(), ui_draw_but_curve_grid(), ui_fontscale(), ui_numedit_apply_snapf(), ui_numedit_but_CURVE(), ui_numedit_but_NUM(), ui_numedit_but_SLI(), UI_ThemeColorBlend(), UI_ThemeColorBlendShade(), UI_ThemeColorBlendShadeAlpha(), UI_view2d_listview_view_to_cell(), UI_view2d_view_ortho(), uiAlignPanelStep(), view3d_project_short_clip(), and view3d_project_short_noclip().

#define fmodf	(		a,
			b
	)		((float)fmod(a, b))

Definition at line 125 of file BLI_math_base.h.

Referenced by BKE_image_buf_fill_checker(), btFmod(), cmp_uv(), give_stripelem_index(), nlastrip_get_frame_actionclip(), uvco_to_wrapped_pxco(), and waveModifier_do().

#define hypotf	(		a,
			b
	)		((float)hypot(a, b))

Definition at line 128 of file BLI_math_base.h.

Referenced by svd_m4().

#define logf ( a ) ((float)log(a))

Definition at line 119 of file BLI_math_base.h.

Referenced by btLog(), imagewraposa_aniso(), messageOutputFunc(), and Exception::report().

#define M_1_PI 0.318309886183790671538

Definition at line 59 of file BLI_math_base.h.

Referenced by GetSkyXYZRadiance().

#define M_E 2.7182818284590452354

Definition at line 62 of file BLI_math_base.h.

#define M_LN10 2.30258509299404568402

Definition at line 74 of file BLI_math_base.h.

Referenced by soft_range_round_down(), and soft_range_round_up().

#define M_LN2 0.69314718055994530942

Definition at line 71 of file BLI_math_base.h.

Referenced by AtmospherePixleShader(), BL_ConvertActuators(), old_mdisps_convert(), power_of_2(), and precalc_wipe_zone().

#define M_LOG10E 0.43429448190325182765

Definition at line 68 of file BLI_math_base.h.

#define M_LOG2E 1.4426950408889634074

Definition at line 65 of file BLI_math_base.h.

Referenced by imagewraposa_aniso().

#define M_PI 3.14159265358979323846

Definition at line 47 of file BLI_math_base.h.

#define M_PI_2 1.57079632679489661923

Definition at line 50 of file BLI_math_base.h.

Referenced by drawmball(), fcm_fn_generator_evaluate(), project_state_init(), and shadeHaloFloat().

#define M_SQRT1_2 0.70710678118654752440

Definition at line 56 of file BLI_math_base.h.

Referenced by calctrackballvec().

#define M_SQRT2 1.41421356237309504880

Definition at line 53 of file BLI_math_base.h.

Referenced by BKE_screen_view3d_zoom_from_fac(), BKE_screen_view3d_zoom_to_fac(), calctrackballvec(), KX_Dome::CreateMeshDome180(), KX_Dome::CreateMeshDome250(), KX_Dome::CreateMeshPanorama(), quat_to_mat3_no_error(), quat_to_mat4(), and spin_nurb().

#define MAXFLOAT ((float)3.40282347e+38)

Definition at line 79 of file BLI_math_base.h.

Referenced by bezt_to_transdata(), calc_distanceCurveVerts(), createTransEditVerts(), and UVsToTransData().

#define powf	(		a,
			b
	)		((float)pow(a, b))

#define sinf ( a ) ((float)sin(a))

#define sqrtf ( a ) ((float)sqrt(a))

Definition at line 83 of file BLI_math_base.h.

Referenced by FLUID_3D::addSmokeTestCase(), FLUID_3D::addVorticity(), alter_co(), area_sample(), barycentric_transform(), BKE_screen_view3d_zoom_from_fac(), btSqrt(), calc_overlap(), calc_vp_alpha_dl(), curvemapping_changed(), dblur(), dist_to_line_segment_v2(), do_projectpaint_thread(), drawHelpline(), drawlamp(), ewa_eval(), face_duplilist(), face_to_crn_interp(), ff_normalize(), fglow(), find_first_points(), imagewraposa_aniso(), imp2radangle(), init_mv_jit(), InputCustomRatio(), len_v2(), len_v2v2(), len_v3(), Length(), lensDistort(), load_tex(), mat3_to_quat(), normalize_v2_v2(), normalize_v3_v3(), normalizef(), occ_lookup(), precalc_wipe_zone(), samevolume_evaluate(), sasqrtf(), smoothMask(), sph_density_accum_cb(), WTURBULENCE::stepTurbulenceFull(), svd_m4(), tex_strength(), ui_numedit_but_NORMAL(), vectorscope_draw_target(), vnormal(), and waveModifier_do().

#define SWAP	(		type,
			a,
			b
	)		{ type sw_ap; sw_ap=(a); (a)=(b); (b)=sw_ap; }

Definition at line 140 of file BLI_math_base.h.

Referenced by adduplicateflagNurb(), applyModifier(), area_copy_data(), armature_click_extrude_exec(), armature_extrude_exec(), bake_rasterize(), BKE_nlastrips_has_space(), BKE_nlatrack_has_space(), buf_rectfill_area(), bvh_partition(), change_sequence(), curvemapping_do_ibuf(), deleteflagNurb(), do_2d_mapping(), do_grab_brush(), do_strand_fillac(), doMirrorOnAxis(), drawviewborder_triangle(), dvert_mirror_op(), edge_rotate(), filldisplist(), flipface(), getLowestRoot(), imagewraposa(), imagewraposa_aniso(), imapaint_canvas_set(), IMB_flipx(), interp_weights_face_v3(), invert_m4_m4(), isect_seg_seg_v2_point(), isect_sweeping_sphere_tri_v3(), kdtree_balance(), make_edges_mdata(), makeBevelList(), mesh_get_x_mirror_faces(), multiple_scattering_diffusion(), node_composit_exec_bilateralblur(), node_update(), ob_parcurve(), occ_build_split(), old_mdisps_convert(), partition_indices(), rasterize_half(), RE_SwapResult(), RE_zbuf_accumulate_vecblur(), rotate_direction_nurb(), seq_swap(), setup_app_data(), shadeSkyView(), sort_time_beztmaps(), sort_time_fcurve(), swap_v2_v2(), swap_v3_v3(), swap_v4_v4(), switchdirection_knots(), switchdirectionNurb(), test_index_face(), texture_value_blend(), to_edgesort(), ui_but_update_from_old_block(), ui_but_update_linklines(), uiBlockFlipOrder(), uiWidgetScrollDraw(), undo_copy_tile(), viewdolly_apply(), viewzoom_apply(), widget_numbut(), widget_numslider(), widget_state(), widget_state_numslider(), widget_textbut(), zbuffer_transp_shade(), zbufshade_tile(), and zbufshadeDA_tile().

#define tanf ( a ) ((float)tan(a))

Definition at line 104 of file BLI_math_base.h.

Referenced by angle_to_lens(), btTan(), and project_camera_info().

Function Documentation

double double_round	(	double	x,
		int	ndigits
	)

Definition at line 67 of file math_base.c.

References fabs(), pow(), and round().

Referenced by Color_ToTupleExt(), Euler_ToTupleExt(), Quaternion_to_tuple_ext(), and Vector_to_tuple_ext().

MINLINE float interpf	(	float	a,
		float	b,
		float	t
	)

Definition at line 100 of file math_base_inline.c.

Referenced by fcurve_eval_samples(), update_reports_display_invoke(), and weight_set_exec().

MINLINE float maxf	(	float	a,
		float	b
	)

Definition at line 125 of file math_base_inline.c.

Referenced by do_displace(), face_to_crn_interp(), heat_set_H(), isect_seg_seg_v2_point(), and svd_m4().

MINLINE float minf	(	float	a,
		float	b
	)

Definition at line 120 of file math_base_inline.c.

Referenced by gjkepa2_impl::EPA::findbest(), isect_seg_seg_v2_point(), and svd_m4().

MINLINE float power_of_2 ( float f )

Definition at line 115 of file math_base_inline.c.

References KDL::log(), M_LN2, and pow().

Referenced by sequencer_view_all_preview_exec(), and view_all_exec().

MINLINE float saacos ( float fac )

Definition at line 60 of file math_base_inline.c.

References acos(), and M_PI.

Referenced by accumulate_vertex_normals(), add_render_lamp(), applyModifier(), applyTranslation(), basic_rotate(), Blinn_Spec(), boid_body(), cache_key_incremental_rotation(), calc_bevel_sin_cos(), costAngle(), do_guides(), do_sky_tex(), draw_manipulator_rotate(), dupli_extrude_cursor(), dvar_eval_rotDiff(), ED_view3d_ob_clip_range_get(), ED_view3d_viewplane_get(), effector_falloff(), filterSmartReebGraph(), gpu_lamp_from_blender(), InputAngle(), lasso_inside(), makeshadowbuf(), map_to_sphere(), mat3_to_quat_is_ok(), mul_fac_qt_fl(), OrenNayar_Diff(), particle_billboard(), psys_thread_create_path(), Quaternion_getAngle(), screen_aligned(), select_linked_flat_faces(), select_sharp_edges_exec(), set_phong_threshold(), speedvector_project(), spotvolume(), Toon_Diff(), Toon_Spec(), tri_to_quat(), vec_to_quat(), Vector_angle(), and WardIso_Spec().

MINLINE float saacosf ( float f )

Definition at line 80 of file math_base_inline.c.

References acosf, and M_PI.

Referenced by ff_quad_form_factor(), and occ_quad_form_factor().

MINLINE float saasin ( float fac )

Definition at line 67 of file math_base_inline.c.

References KDL::asin(), and M_PI.

Referenced by angle_normalized_v2v2(), and angle_normalized_v3v3().

MINLINE float saasinf ( float f )

Definition at line 87 of file math_base_inline.c.

References asinf, and M_PI.

MINLINE float sasqrt ( float fac )

Definition at line 74 of file math_base_inline.c.

References sqrt().

Referenced by Blinn_Spec(), boid_body(), boid_brain(), CookTorr_Spec(), Phong_Spec(), shadeHaloFloat(), shrinkwrap_calc_nearest_surface_point(), shrinkwrap_calc_nearest_vertex(), Toon_Spec(), and WardIso_Spec().

MINLINE float sasqrtf ( float f )

Definition at line 94 of file math_base_inline.c.

References sqrtf.

MINLINE float shell_angle_to_dist ( float angle )

Definition at line 109 of file math_base_inline.c.

References cosf, fabsf, and SMALL_NUMBER.

Referenced by applyModifier(), EM_solidify(), and uv_image_outset().

MINLINE float signf ( float f )

Definition at line 130 of file math_base_inline.c.

Referenced by do_displace().

MINLINE double sqrt3d ( double d )

Definition at line 53 of file math_base_inline.c.

References KDL::exp(), and KDL::log().

Referenced by findzero().

MINLINE float sqrt3f ( float f )

Definition at line 46 of file math_base_inline.c.

References KDL::exp(), and KDL::log().

Referenced by ui_numedit_but_HSVCIRCLE().