248 lines
11 KiB
C
248 lines
11 KiB
C
/*
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* ***** BEGIN GPL LICENSE BLOCK *****
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*
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* The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
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* All rights reserved.
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*
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* The Original Code is: some of this file.
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*
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* ***** END GPL LICENSE BLOCK *****
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* */
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#ifndef BLI_MATH_GEOM_H
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#define BLI_MATH_GEOM_H
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/** \file BLI_math_geom.h
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* \ingroup bli
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*/
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#ifdef __cplusplus
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extern "C" {
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#endif
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#include "BLI_math_inline.h"
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#ifdef BLI_MATH_INLINE_H
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#include "intern/math_geom_inline.c"
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#endif
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/********************************** Polygons *********************************/
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void cent_tri_v3(float r[3], const float a[3], const float b[3], const float c[3]);
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void cent_quad_v3(float r[3], const float a[3], const float b[3], const float c[3], const float d[3]);
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float normal_tri_v3(float r[3], const float a[3], const float b[3], const float c[3]);
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float normal_quad_v3(float r[3], const float a[3], const float b[3], const float c[3], const float d[3]);
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float area_tri_v2(const float a[2], const float b[2], const float c[2]);
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float area_tri_signed_v2(const float v1[2], const float v2[2], const float v3[2]);
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float area_tri_v3(const float a[3], const float b[3], const float c[3]);
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float area_quad_v3(const float a[3], const float b[3], const float c[3], const float d[3]);
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float area_poly_v3(int nr, float verts[][3], const float normal[3]);
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/********************************* Distance **********************************/
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float dist_to_line_v2(const float p[2], const float l1[2], const float l2[2]);
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float dist_to_line_segment_v2(const float p[2], const float l1[2], const float l2[2]);
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float dist_to_line_segment_v3(const float p[3], const float l1[3], const float l2[3]);
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float closest_to_line_v3(float r[3], const float p[3], const float l1[3], const float l2[3]);
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float closest_to_line_v2(float r[2], const float p[2], const float l1[2], const float l2[2]);
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void closest_to_line_segment_v3(float r[3], const float p[3], const float l1[3], const float l2[3]);
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float line_point_factor_v3(const float p[3], const float l1[3], const float l2[3]);
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float line_point_factor_v2(const float p[2], const float l1[2], const float l2[2]);
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/******************************* Intersection ********************************/
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/* TODO int return value consistency */
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/* line-line */
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#define ISECT_LINE_LINE_COLINEAR -1
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#define ISECT_LINE_LINE_NONE 0
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#define ISECT_LINE_LINE_EXACT 1
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#define ISECT_LINE_LINE_CROSS 2
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int isect_line_line_v2(const float a1[2], const float a2[2], const float b1[2], const float b2[2]);
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int isect_line_line_v2_int(const int a1[2], const int a2[2], const int b1[2], const int b2[2]);
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int isect_line_sphere_v3(const float l1[3], const float l2[3], const float sp[3], const float r, float r_p1[3], float r_p2[3]);
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int isect_line_sphere_v2(const float l1[2], const float l2[2], const float sp[2], const float r, float r_p1[2], float r_p2[2]);
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int isect_seg_seg_v2_point(const float v1[2], const float v2[2], const float v3[2], const float v4[2], float vi[2]);
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/* Returns the number of point of interests
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* 0 - lines are colinear
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* 1 - lines are coplanar, i1 is set to intersection
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* 2 - i1 and i2 are the nearest points on line 1 (v1, v2) and line 2 (v3, v4) respectively
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* */
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int isect_line_line_v3(const float v1[3], const float v2[3],
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const float v3[3], const float v4[3], float i1[3], float i2[3]);
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int isect_line_line_strict_v3(const float v1[3], const float v2[3],
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const float v3[3], const float v4[3], float vi[3], float *lambda);
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/*if clip is nonzero, will only return true if lambda is >= 0.0
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(i.e. intersection point is along positive d)*/
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int isect_ray_plane_v3(float p1[3], float d[3], float v0[3],
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float v1[3], float v2[3], float *lambda, int clip);
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/**
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* Intersect line/plane, optionally treat line as directional (like a ray) with the no_flip argument.
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* @param out The intersection point.
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* @param l1 The first point of the line.
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* @param l2 The second point of the line.
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* @param plane_co A point on the plane to intersect with.
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* @param plane_no The direction of the plane (does not need to be normalized).
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* @param no_flip When true, the intersection point will always be from l1 to l2, even if this is not on the plane.
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*/
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int isect_line_plane_v3(float out[3], const float l1[3], const float l2[3],
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const float plane_co[3], const float plane_no[3], const short no_flip);
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/* line/ray triangle */
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int isect_line_tri_v3(const float p1[3], const float p2[3],
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const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2]);
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int isect_ray_tri_v3(const float p1[3], const float d[3],
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const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2]);
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int isect_ray_tri_threshold_v3(const float p1[3], const float d[3],
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const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2], const float threshold);
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int isect_ray_tri_epsilon_v3(const float p1[3], const float d[3],
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const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2], const float epsilon);
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/* point in polygon */
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int isect_point_quad_v2(const float p[2], const float a[2], const float b[2], const float c[2], const float d[2]);
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int isect_point_tri_v2(const float v1[2], const float v2[2], const float v3[2], const float pt[2]);
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int isect_point_tri_v2_int(const int x1, const int y1, const int x2, const int y2, const int a, const int b);
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int isect_point_tri_prism_v3(const float p[3], const float v1[3], const float v2[3], const float v3[3]);
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void isect_point_quad_uv_v2(const float v0[2], const float v1[2], const float v2[2], const float v3[2],
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const float pt[2], float *uv);
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void isect_point_face_uv_v2(const int isquad, const float v0[2], const float v1[2], const float v2[2],
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const float v3[2], const float pt[2], float *uv);
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/* other */
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int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const float radius,
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const float v0[3], const float v1[3], const float v2[3], float *lambda, float ipoint[3]);
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int isect_axial_line_tri_v3(const int axis, const float co1[3], const float co2[3],
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const float v0[3], const float v1[3], const float v2[3], float *lambda);
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int isect_aabb_aabb_v3(const float min1[3], const float max1[3], const float min2[3], const float max2[3]);
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int clip_line_plane(float p1[3], float p2[3], const float plane[4]);
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void plot_line_v2v2i(const int p1[2], const int p2[2], int (*callback)(int, int, void *), void *userData);
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/****************************** Interpolation ********************************/
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/* tri or quad, d can be NULL */
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void interp_weights_face_v3(float w[4],
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const float a[3], const float b[3], const float c[3], const float d[3], const float p[3]);
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void interp_weights_poly_v3(float w[], float v[][3], const int n, const float p[3]);
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void interp_cubic_v3(float x[3], float v[3],
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const float x1[3], const float v1[3], const float x2[3], const float v2[3], const float t);
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int interp_sparse_array(float *array, const int list_size, const float invalid);
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void barycentric_transform(float pt_tar[3], float const pt_src[3],
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const float tri_tar_p1[3], const float tri_tar_p2[3], const float tri_tar_p3[3],
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const float tri_src_p1[3], const float tri_src_p2[3], const float tri_src_p3[3]);
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void barycentric_weights_v2(const float v1[2], const float v2[2], const float v3[2],
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const float co[2], float w[3]);
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void resolve_tri_uv(float uv[2], const float st[2], const float st0[2], const float st1[2], const float st2[2]);
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void resolve_quad_uv(float uv[2], const float st[2], const float st0[2], const float st1[2], const float st2[2], const float st3[2]);
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/***************************** View & Projection *****************************/
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void lookat_m4(float mat[4][4], float vx, float vy,
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float vz, float px, float py, float pz, float twist);
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void polarview_m4(float mat[4][4], float dist, float azimuth,
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float incidence, float twist);
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void perspective_m4(float mat[4][4], const float left, const float right,
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const float bottom, const float top, const float nearClip, const float farClip);
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void orthographic_m4(float mat[4][4], const float left, const float right,
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const float bottom, const float top, const float nearClip, const float farClip);
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void window_translate_m4(float winmat[][4], float perspmat[][4],
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const float x, const float y);
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int box_clip_bounds_m4(float boundbox[2][3],
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const float bounds[4], float winmat[4][4]);
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void box_minmax_bounds_m4(float min[3], float max[3],
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float boundbox[2][3], float mat[4][4]);
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/********************************** Mapping **********************************/
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void map_to_tube(float *u, float *v, const float x, const float y, const float z);
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void map_to_sphere(float *u, float *v, const float x, const float y, const float z);
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/********************************** Normals **********************************/
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void accumulate_vertex_normals(float n1[3], float n2[3], float n3[3],
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float n4[3], const float f_no[3], const float co1[3], const float co2[3],
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const float co3[3], const float co4[3]);
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/********************************* Tangents **********************************/
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typedef struct VertexTangent {
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struct VertexTangent *next;
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float tang[3], uv[2];
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} VertexTangent;
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float *find_vertex_tangent(VertexTangent *vtang, const float uv[2]);
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void sum_or_add_vertex_tangent(void *arena, VertexTangent **vtang,
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const float tang[3], const float uv[2]);
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void tangent_from_uv(float uv1[2], float uv2[2], float uv3[2],
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float co1[3], float co2[3], float co3[3], float n[3], float tang[3]);
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/******************************** Vector Clouds ******************************/
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void vcloud_estimate_transform(int list_size, float (*pos)[3], float *weight,
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float (*rpos)[3], float *rweight,
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float lloc[3],float rloc[3],float lrot[3][3],float lscale[3][3]);
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/****************************** Spherical Harmonics *************************/
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/* Uses 2nd order SH => 9 coefficients, stored in this order:
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0 = (0,0),
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1 = (1,-1), 2 = (1,0), 3 = (1,1),
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4 = (2,-2), 5 = (2,-1), 6 = (2,0), 7 = (2,1), 8 = (2,2) */
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MINLINE void zero_sh(float r[9]);
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MINLINE void copy_sh_sh(float r[9], const float a[9]);
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MINLINE void mul_sh_fl(float r[9], const float f);
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MINLINE void add_sh_shsh(float r[9], const float a[9], const float b[9]);
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MINLINE float eval_shv3(float r[9], const float v[3]);
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MINLINE float diffuse_shv3(float r[9], const float v[3]);
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MINLINE void vec_fac_to_sh(float r[9], const float v[3], const float f);
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MINLINE void madd_sh_shfl(float r[9], const float sh[3], const float f);
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/********************************* Form Factor *******************************/
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float form_factor_hemi_poly(float p[3], float n[3],
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float v1[3], float v2[3], float v3[3], float v4[3]);
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#ifdef __cplusplus
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}
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#endif
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#endif /* BLI_MATH_GEOM_H */
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