math_geom_inline.c File Reference

#include "BLI_math_vector.h"
#include <string.h>

Go to the source code of this file.

Macros
#define	__MATH_GEOM_INLINE_C__
#define	SMALL_NUMBER   1.e-8f

Functions
MINLINE float	cross_tri_v2 (const float v1[2], const float v2[2], const float v3[2])
MINLINE float	area_tri_signed_v2 (const float v1[2], const float v2[2], const float v3[2])
MINLINE float	area_tri_v2 (const float v1[2], const float v2[2], const float v3[2])
MINLINE float	area_squared_tri_v2 (const float v1[2], const float v2[2], const float v3[2])
MINLINE void	axis_dominant_v3 (int *r_axis_a, int *r_axis_b, const float axis[3])
MINLINE float	axis_dominant_v3_max (int *r_axis_a, int *r_axis_b, const float axis[3])
MINLINE int	axis_dominant_v3_single (const float vec[3])
MINLINE int	axis_dominant_v3_ortho_single (const float vec[3])
MINLINE int	max_axis_v3 (const float vec[3])
MINLINE int	min_axis_v3 (const float vec[3])
MINLINE int	poly_to_tri_count (const int poly_count, const int corner_count)
MINLINE float	plane_point_side_v3 (const float plane[4], const float co[3])
MINLINE float	shell_angle_to_dist (const float angle)
MINLINE float	shell_v3v3_normalized_to_dist (const float a[3], const float b[3])
MINLINE float	shell_v2v2_normalized_to_dist (const float a[2], const float b[2])
MINLINE float	shell_v3v3_mid_normalized_to_dist (const float a[3], const float b[3])
MINLINE float	shell_v2v2_mid_normalized_to_dist (const float a[2], const float b[2])

Macro Definition Documentation

__MATH_GEOM_INLINE_C__

#define __MATH_GEOM_INLINE_C__

Definition at line 10 of file math_geom_inline.c.

SMALL_NUMBER

#define SMALL_NUMBER   1.e-8f

Definition at line 17 of file math_geom_inline.c.

Referenced by shell_angle_to_dist(), shell_v2v2_mid_normalized_to_dist(), shell_v2v2_normalized_to_dist(), shell_v3v3_mid_normalized_to_dist(), and shell_v3v3_normalized_to_dist().

Function Documentation

area_squared_tri_v2()

MINLINE float area_squared_tri_v2	(	const float	v1[2],
		const float	v2[2],
		const float	v3[2] )

Definition at line 36 of file math_geom_inline.c.

References area_tri_signed_v2(), and v2.

area_tri_signed_v2()

MINLINE float area_tri_signed_v2	(	const float	v1[2],
		const float	v2[2],
		const float	v3[2] )

Definition at line 26 of file math_geom_inline.c.

References v2.

Referenced by area_squared_tri_v2(), and area_tri_v2().

area_tri_v2()

MINLINE float area_tri_v2	(	const float	v1[2],
		const float	v2[2],
		const float	v3[2] )

Definition at line 31 of file math_geom_inline.c.

References area_tri_signed_v2(), fabsf, and v2.

Referenced by BKE_mesh_remap_calc_faces_from_mesh(), computeBindWeights(), IsectPT2Df_limit(), M_Geometry_area_tri(), project_paint_bleed_add_face_user(), blender::geometry::ReverseUVSampler::sample(), test_polyfill_area(), test_polyfill_area_tri_nonzero(), and transform_point_by_tri_v3().

axis_dominant_v3()

MINLINE void axis_dominant_v3	(	int *	r_axis_a,
		int *	r_axis_b,
		const float	axis[3] )

Get the 2 dominant axis values, 0==X, 1==Y, 2==Z.

Definition at line 42 of file math_geom_inline.c.

References fabsf.

Referenced by barycentric_differentials_from_position(), barycentric_weights(), and uvedit_unwrap_cube_project().

axis_dominant_v3_max()

MINLINE float axis_dominant_v3_max	(	int *	r_axis_a,
		int *	r_axis_b,
		const float	axis[3] )

Same as axis_dominant_v3 but return the max value.

Definition at line 62 of file math_geom_inline.c.

References fabsf.

axis_dominant_v3_ortho_single()

MINLINE int axis_dominant_v3_ortho_single

(

const float

vec[3]

)

The dominant axis of an orthogonal vector.

Definition at line 93 of file math_geom_inline.c.

References fabsf, and z().

Referenced by ED_view3d_cursor3d_position_rotation().

axis_dominant_v3_single()

MINLINE int axis_dominant_v3_single

(

const float

vec[3]

)

Get the single dominant axis value, 0==X, 1==Y, 2==Z.

Definition at line 85 of file math_geom_inline.c.

References fabsf, and z().

Referenced by calc_initial_placement_point_from_view(), distribute_grid(), isect_ray_tri_watertight_v3_precalc(), ortho_v3_v3(), and OVERLAY_volume_extra().

cross_tri_v2()

MINLINE float cross_tri_v2	(	const float	v1[2],
		const float	v2[2],
		const float	v3[2] )

Scalar cross product of a 2D triangle.

• Equivalent to area * 2.
• Useful for checking polygon winding (a negative value is clockwise).

Definition at line 21 of file math_geom_inline.c.

References v2.

Referenced by barycentric_weights_v2(), barycentric_weights_v2_clamped(), barycentric_weights_v2_persp(), BLI_polyfill_beautify_quad_rotate_calc_ex(), bm_edge_calc_rotate_beauty__area(), bm_loop_collapse_is_degenerate(), color_sample_remove_cost(), project_face_winding_init(), TEST(), TEST(), and test_polyfill_winding().

max_axis_v3()

MINLINE int max_axis_v3

(

const float

vec[3]

)

Definition at line 101 of file math_geom_inline.c.

References z().

Referenced by blender::compositor::KeyingDespillOperation::update_memory_buffer_partial(), and blender::compositor::KeyingOperation::update_memory_buffer_partial().

min_axis_v3()

MINLINE int min_axis_v3

(

const float

vec[3]

)

Definition at line 109 of file math_geom_inline.c.

References z().

Referenced by view3d_ruler_pick().

plane_point_side_v3()

MINLINE float plane_point_side_v3	(	const float	plane[4],
		const float	co[3] )

Definition at line 123 of file math_geom_inline.c.

References dot_v3v3().

Referenced by BKE_mesh_mirror_bisect_on_mirror_plane_for_modifier(), bmo_bisect_plane_exec(), camera_to_frame_view_cb(), clip_segment_v3_plane(), clip_segment_v3_plane_n(), closest_to_plane_normalized_v3(), closest_to_plane_v3(), dist_signed_squared_to_plane_v3(), dist_signed_to_plane_v3(), dist_squared_to_plane_v3(), draw_culling_box_test(), draw_culling_plane_test(), draw_culling_sphere_test(), DRW_culling_min_max_test(), blender::ed::sculpt_paint::filter_above_plane_factors(), blender::ed::sculpt_paint::filter_above_plane_factors(), blender::ed::sculpt_paint::filter_below_plane_factors(), blender::ed::sculpt_paint::filter_below_plane_factors(), blender::ed::sculpt_paint::filter_plane_side_factors(), blender::ed::sculpt_paint::gesture::is_affected(), isect_aabb_planes_v3(), isect_point_planes_v3(), isect_point_planes_v3_negated(), plane_point_test_v3(), tree_intersect_plane_test(), and view3d_clipping_test().

poly_to_tri_count()

MINLINE int poly_to_tri_count	(	int	poly_count,
		int	corner_count )

Simple function to either:

• Calculate how many triangles needed from the total number of polygons + loops.
• Calculate the first triangle index from the polygon index & that polygons loop-start.

Parameters

poly_count	The number of polygons or polygon-index (3+ sided faces, 1-2 sided give incorrect results).
corner_count	The number of corners (also called loop-index).

Definition at line 117 of file math_geom_inline.c.

References BLI_assert.

Referenced by blender::draw::accumululate_material_counts_mesh(), blender::ed::sculpt_paint::trim::apply_trim(), blender::ed::object::bake_targets_populate_pixels_color_attributes(), BKE_editmesh_looptris_calc_ex(), BKE_editmesh_looptris_calc_with_partial_ex(), BKE_mesh_runtime_corner_tris_len(), bm_mesh_calc_tessellation__single_threaded(), BM_mesh_calc_tessellation_beauty(), BMD_mesh_intersection(), bpy_bmesh_calc_loop_triangles(), C_BVHTree_FromBMesh(), blender::draw::pbvh::create_tri_index_mesh(), createTransEditVerts(), blender::render::texturemargin::generate_margin(), heat_bone_weighting(), Freestyle::BlenderFileLoader::insertShapeNode(), blender::geometry::boolean::mesh_bm_concat(), mesh_calc_tri_tessface(), mesh_faces_to_scratch(), blender::draw::mesh_render_data_create(), mesh_tessface_calc(), RE_bake_pixels_populate(), and stats_mesheval().

shell_angle_to_dist()

MINLINE float shell_angle_to_dist

(

float

angle

)

Useful to calculate an even width shell, by taking the angle between 2 planes. The return value is a scale on the offset. no angle between planes is 1.0, as the angle between the 2 planes approaches 180d the distance gets very high, 180d would be inf, but this case isn't valid.

Definition at line 128 of file math_geom_inline.c.

References cosf, fabsf, SMALL_NUMBER, and UNLIKELY.

Referenced by Bend(), and BM_mesh_wireframe().

shell_v2v2_mid_normalized_to_dist()

MINLINE float shell_v2v2_mid_normalized_to_dist	(	const float	a[2],
		const float	b[2] )

Equivalent to shell_angle_to_dist(angle_normalized_v2v2(a, b) / 2).

Definition at line 158 of file math_geom_inline.c.

References add_v2_v2v2(), b, BLI_ASSERT_UNIT_V2, dot_v2v2(), fabsf, normalize_v2(), SMALL_NUMBER, and UNLIKELY.

shell_v2v2_normalized_to_dist()

MINLINE float shell_v2v2_normalized_to_dist	(	const float	a[2],
		const float	b[2] )

Equivalent to shell_angle_to_dist(angle_normalized_v2v2(a, b)).

Definition at line 139 of file math_geom_inline.c.

References b, BLI_ASSERT_UNIT_V2, dot_v2v2(), fabsf, SMALL_NUMBER, and UNLIKELY.

shell_v3v3_mid_normalized_to_dist()

MINLINE float shell_v3v3_mid_normalized_to_dist	(	const float	a[3],
		const float	b[3] )

Equivalent to shell_angle_to_dist(angle_normalized_v3v3(a, b) / 2).

Definition at line 147 of file math_geom_inline.c.

References add_v3_v3v3(), b, BLI_ASSERT_UNIT_V3, dot_v3v3(), fabsf, normalize_v3(), SMALL_NUMBER, and UNLIKELY.

Referenced by alter_co(), bmo_face_inset_individual(), and bmo_inset_region_exec().

shell_v3v3_normalized_to_dist()

MINLINE float shell_v3v3_normalized_to_dist	(	const float	a[3],
		const float	b[3] )

Equivalent to shell_angle_to_dist(angle_normalized_v3v3(a, b)).

Definition at line 132 of file math_geom_inline.c.

References b, BLI_ASSERT_UNIT_V3, dot_v3v3(), fabsf, SMALL_NUMBER, and UNLIKELY.

Referenced by BM_vert_calc_shell_factor(), BM_vert_calc_shell_factor_ex(), bmo_inset_region_exec(), MOD_solidify_extrude_modifyMesh(), and solidify_add_thickness().