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v4k-git-backup/engine/split/3rd_delaunay.h

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#ifndef DELAUNAY_H
#define DELAUNAY_H
/*
** delaunay.c : compute 2D delaunay triangulation in the plane.
** Copyright (C) 2005 Wael El Oraiby <wael.eloraiby@gmail.com>
**
**
** This program is free software: you can redistribute it and/or modify
** it under the terms of the GNU Affero General Public License as
** published by the Free Software Foundation, either version 3 of the
** License, or (at your option) any later version.
**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU Affero General Public License for more details.
**
** You should have received a copy of the GNU Affero General Public License
** along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#ifdef __cplusplus
extern "C" {
#endif
typedef double real;
typedef struct {
real x, y;
} del_point2d_t;
typedef struct {
/** input points count */
unsigned int num_points;
/** the input points */
del_point2d_t* points;
/** number of returned faces */
unsigned int num_faces;
/** the faces are given as a sequence: num verts, verts indices, num verts, verts indices...
* the first face is the external face */
unsigned int* faces;
} delaunay2d_t;
/*
* build the 2D Delaunay triangulation given a set of points of at least 3 points
*
* @points: point set given as a sequence of tuple x0, y0, x1, y1, ....
* @num_points: number of given point
* @preds: the incircle predicate
* @faces: the triangles given as a sequence: num verts, verts indices, num verts, verts indices.
* Note that the first face is the external face
* @return: the created topology
*/
delaunay2d_t* delaunay2d_from(del_point2d_t *points, unsigned int num_points);
/*
* release a delaunay2d object
*/
void delaunay2d_release(delaunay2d_t* del);
typedef struct {
/** input points count */
unsigned int num_points;
/** input points */
del_point2d_t* points;
/** number of triangles */
unsigned int num_triangles;
/** the triangles indices v0,v1,v2, v0,v1,v2 .... */
unsigned int* tris;
} tri_delaunay2d_t;
/**
* build a tri_delaunay2d_t out of a delaunay2d_t object
*/
tri_delaunay2d_t* tri_delaunay2d_from(delaunay2d_t* del);
/**
* release a tri_delaunay2d_t object
*/
void tri_delaunay2d_release(tri_delaunay2d_t* tdel);
#ifdef __cplusplus
}
#endif
#endif // DELAUNAY_H
#ifdef DELAUNAY_C
/*
** delaunay.c : compute 2D delaunay triangulation in the plane.
** Copyright (C) 2005 Wael El Oraiby <wael.eloraiby@gmail.com>
**
**
** This program is free software: you can redistribute it and/or modify
** it under the terms of the GNU Affero General Public License as
** published by the Free Software Foundation, either version 3 of the
** License, or (at your option) any later version.
**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU Affero General Public License for more details.
**
** You should have received a copy of the GNU Affero General Public License
** along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <string.h>
#include <assert.h>
#define ON_RIGHT 1
#define ON_SEG 0
#define ON_LEFT -1
#define OUTSIDE -1
#define ON_CIRCLE 0
#define INSIDE 1
struct point2d_s;
struct face_s;
struct halfedge_s;
struct delaunay_s;
#define REAL_ZERO 0.0l
#define REAL_ONE 1.0l
#define REAL_TWO 2.0l
#define REAL_FOUR 4.0l
typedef struct point2d_s point2d_t;
typedef struct face_s face_t;
typedef struct halfedge_s halfedge_t;
typedef struct delaunay_s delaunay_t;
typedef struct working_set_s working_set_t;
typedef long double lreal;
typedef lreal mat3_t[3][3];
struct point2d_s {
real x, y; /* point coordinates */
halfedge_t* he; /* point halfedge */
unsigned int idx; /* point index in input buffer */
};
struct face_s {
halfedge_t* he; /* a pointing half edge */
unsigned int num_verts; /* number of vertices on this face */
};
struct halfedge_s {
point2d_t* vertex; /* vertex */
halfedge_t* pair; /* pair */
halfedge_t* next; /* next */
halfedge_t* prev; /* next^-1 */
face_t* face; /* halfedge face */
};
struct delaunay_s {
halfedge_t* rightmost_he; /* right most halfedge */
halfedge_t* leftmost_he; /* left most halfedge */
point2d_t* points; /* pointer to points */
face_t* faces; /* faces of delaunay */
unsigned int num_faces; /* face count */
unsigned int start_point; /* start point index */
unsigned int end_point; /* end point index */
};
struct working_set_s {
halfedge_t* edges; /* all the edges (allocated in one shot) */
face_t* faces; /* all the faces (allocated in one shot) */
unsigned int max_edge; /* maximum edge count: 2 * 3 * n where n is point count */
unsigned int max_face; /* maximum face count: 2 * n where n is point count */
unsigned int num_edges; /* number of allocated edges */
unsigned int num_faces; /* number of allocated faces */
halfedge_t* free_edge; /* pointer to the first free edge */
face_t* free_face; /* pointer to the first free face */
};
/*
* 3x3 matrix determinant
*/
static lreal det3(mat3_t m)
{
lreal res = m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1])
- m[0][1] * (m[1][0] * m[2][2] - m[1][2] * m[2][0])
+ m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0]);
return res;
}
/*
* allocate a halfedge
*/
static halfedge_t* halfedge_alloc()
{
halfedge_t* d;
d = (halfedge_t*)malloc(sizeof(halfedge_t));
assert( NULL != d );
memset(d, 0, sizeof(halfedge_t));
return d;
}
/*
* free a halfedge
*/
static void halfedge_free( halfedge_t* d )
{
assert( d != NULL );
memset(d, 0, sizeof(halfedge_t));
free(d);
}
/*
* free all delaunay halfedges
*/
void del_free_halfedges( delaunay_t *del )
{
unsigned int i;
halfedge_t *d, *sig;
/* if there is nothing to do */
if( del->points == NULL )
return;
for( i = 0; i <= (del->end_point - del->start_point); i++ )
{
/* free all the halfedges around the point */
d = del->points[i].he;
if( d != NULL )
{
do {
sig = d->next;
halfedge_free( d );
d = sig;
} while( d != del->points[i].he );
del->points[i].he = NULL;
}
}
}
/*
* compare 2 points when sorting
*/
static int cmp_points( const void *_pt0, const void *_pt1 )
{
point2d_t *pt0, *pt1;
pt0 = (point2d_t*)(_pt0);
pt1 = (point2d_t*)(_pt1);
if( pt0->x < pt1->x )
return -1;
else if( pt0->x > pt1->x )
return 1;
else if( pt0->y < pt1->y )
return -1;
else if( pt0->y > pt1->y )
return 1;
printf("2 or more points share the same exact coordinate: (%f,%f)(%f,%f)\n", pt0->x,pt0->y,pt1->x,pt1->y);
assert(0 && "2 or more points share the same exact coordinate");
return 0; /* Should not be given! */
}
/*
* classify a point relative to a segment
*/
static int classify_point_seg( point2d_t *s, point2d_t *e, point2d_t *pt )
{
lreal se_x, se_y, spt_x, spt_y;
lreal res;
se_x = e->x - s->x;
se_y = e->y - s->y;
spt_x = pt->x - s->x;
spt_y = pt->y - s->y;
res = (( se_x * spt_y ) - ( se_y * spt_x ));
if( res < REAL_ZERO )
return ON_RIGHT;
else if( res > REAL_ZERO )
return ON_LEFT;
return ON_SEG;
}
/*
* classify a point relative to a halfedge, -1 is left, 0 is on, 1 is right
*/
static int del_classify_point( halfedge_t *d, point2d_t *pt )
{
point2d_t *s, *e;
s = d->vertex;
e = d->pair->vertex;
return classify_point_seg(s, e, pt);
}
/*
* test if a point is inside a circle given by 3 points, 1 if inside, 0 if outside
*/
static int in_circle( point2d_t *pt0, point2d_t *pt1, point2d_t *pt2, point2d_t *p )
{
// reduce the computational complexity by substracting the last row of the matrix
// ref: https://www.cs.cmu.edu/~quake/robust.html
lreal p0p_x, p0p_y, p1p_x, p1p_y, p2p_x, p2p_y, p0p, p1p, p2p, res;
mat3_t m;
p0p_x = pt0->x - p->x;
p0p_y = pt0->y - p->y;
p1p_x = pt1->x - p->x;
p1p_y = pt1->y - p->y;
p2p_x = pt2->x - p->x;
p2p_y = pt2->y - p->y;
p0p = p0p_x * p0p_x + p0p_y * p0p_y;
p1p = p1p_x * p1p_x + p1p_y * p1p_y;
p2p = p2p_x * p2p_x + p2p_y * p2p_y;
m[0][0] = p0p_x;
m[0][1] = p0p_y;
m[0][2] = p0p;
m[1][0] = p1p_x;
m[1][1] = p1p_y;
m[1][2] = p1p;
m[2][0] = p2p_x;
m[2][1] = p2p_y;
m[2][2] = p2p;
res = -det3(m);
if( res < REAL_ZERO )
return INSIDE;
else if( res > REAL_ZERO )
return OUTSIDE;
return ON_CIRCLE;
}
/*
* initialize delaunay segment
*/
static int del_init_seg( delaunay_t *del, int start )
{
halfedge_t *d0, *d1;
point2d_t *pt0, *pt1;
/* init delaunay */
del->start_point = start;
del->end_point = start + 1;
/* setup pt0 and pt1 */
pt0 = &(del->points[start]);
pt1 = &(del->points[start + 1]);
/* allocate the halfedges and setup them */
d0 = halfedge_alloc();
d1 = halfedge_alloc();
d0->vertex = pt0;
d1->vertex = pt1;
d0->next = d0->prev = d0;
d1->next = d1->prev = d1;
d0->pair = d1;
d1->pair = d0;
pt0->he = d0;
pt1->he = d1;
del->rightmost_he = d1;
del->leftmost_he = d0;
return 0;
}
/*
* initialize delaunay triangle
*/
static int del_init_tri( delaunay_t *del, int start )
{
halfedge_t *d0, *d1, *d2, *d3, *d4, *d5;
point2d_t *pt0, *pt1, *pt2;
/* initiate delaunay */
del->start_point = start;
del->end_point = start + 2;
/* setup the points */
pt0 = &(del->points[start]);
pt1 = &(del->points[start + 1]);
pt2 = &(del->points[start + 2]);
/* allocate the 6 halfedges */
d0 = halfedge_alloc();
d1 = halfedge_alloc();
d2 = halfedge_alloc();
d3 = halfedge_alloc();
d4 = halfedge_alloc();
d5 = halfedge_alloc();
if( classify_point_seg(pt0, pt2, pt1) == ON_LEFT ) /* first case */
{
/* set halfedges points */
d0->vertex = pt0;
d1->vertex = pt2;
d2->vertex = pt1;
d3->vertex = pt2;
d4->vertex = pt1;
d5->vertex = pt0;
/* set points halfedges */
pt0->he = d0;
pt1->he = d2;
pt2->he = d1;
/* next and next -1 setup */
d0->next = d5;
d0->prev = d5;
d1->next = d3;
d1->prev = d3;
d2->next = d4;
d2->prev = d4;
d3->next = d1;
d3->prev = d1;
d4->next = d2;
d4->prev = d2;
d5->next = d0;
d5->prev = d0;
/* set halfedges pair */
d0->pair = d3;
d3->pair = d0;
d1->pair = d4;
d4->pair = d1;
d2->pair = d5;
d5->pair = d2;
del->rightmost_he = d1;
del->leftmost_he = d0;
} else /* 2nd case */
{
/* set halfedges points */
d0->vertex = pt0;
d1->vertex = pt1;
d2->vertex = pt2;
d3->vertex = pt1;
d4->vertex = pt2;
d5->vertex = pt0;
/* set points halfedges */
pt0->he = d0;
pt1->he = d1;
pt2->he = d2;
/* next and next -1 setup */
d0->next = d5;
d0->prev = d5;
d1->next = d3;
d1->prev = d3;
d2->next = d4;
d2->prev = d4;
d3->next = d1;
d3->prev = d1;
d4->next = d2;
d4->prev = d2;
d5->next = d0;
d5->prev = d0;
/* set halfedges pair */
d0->pair = d3;
d3->pair = d0;
d1->pair = d4;
d4->pair = d1;
d2->pair = d5;
d5->pair = d2;
del->rightmost_he = d2;
del->leftmost_he = d0;
}
return 0;
}
/*
* remove an edge given a halfedge
*/
static void del_remove_edge( halfedge_t *d )
{
halfedge_t *next, *prev, *pair, *orig_pair;
orig_pair = d->pair;
next = d->next;
prev = d->prev;
pair = d->pair;
assert(next != NULL);
assert(prev != NULL);
next->prev = prev;
prev->next = next;
/* check to see if we have already removed pair */
if( pair )
pair->pair = NULL;
/* check to see if the vertex points to this halfedge */
if( d->vertex->he == d )
d->vertex->he = next;
d->vertex = NULL;
d->next = NULL;
d->prev = NULL;
d->pair = NULL;
next = orig_pair->next;
prev = orig_pair->prev;
pair = orig_pair->pair;
assert(next != NULL);
assert(prev != NULL);
next->prev = prev;
prev->next = next;
/* check to see if we have already removed pair */
if( pair )
pair->pair = NULL;
/* check to see if the vertex points to this halfedge */
if( orig_pair->vertex->he == orig_pair )
orig_pair->vertex->he = next;
orig_pair->vertex = NULL;
orig_pair->next = NULL;
orig_pair->prev = NULL;
orig_pair->pair = NULL;
/* finally free the halfedges */
halfedge_free(d);
halfedge_free(orig_pair);
}
/*
* pass through all the halfedges on the left side and validate them
*/
static halfedge_t* del_valid_left( halfedge_t* b )
{
point2d_t *g, *d, *u, *v;
halfedge_t *c, *du, *dg;
g = b->vertex; /* base halfedge point */
dg = b;
d = b->pair->vertex; /* pair(halfedge) point */
b = b->next;
u = b->pair->vertex; /* next(pair(halfedge)) point */
du = b->pair;
v = b->next->pair->vertex; /* pair(next(next(halfedge)) point */
if( classify_point_seg(g, d, u) == ON_LEFT )
{
/* 3 points aren't colinear */
/* as long as the 4 points belong to the same circle, do the cleaning */
assert( v != u && "1: floating point precision error");
while( v != d && v != g && in_circle(g, d, u, v) == INSIDE )
{
c = b->next;
du = b->next->pair;
del_remove_edge(b);
b = c;
u = du->vertex;
v = b->next->pair->vertex;
}
assert( v != u && "2: floating point precision error");
if( v != d && v != g && in_circle(g, d, u, v) == ON_CIRCLE )
{
du = du->prev;
del_remove_edge(b);
}
} else /* treat the case where the 3 points are colinear */
du = dg;
assert(du->pair);
return du;
}
/*
* pass through all the halfedges on the right side and validate them
*/
static halfedge_t* del_valid_right( halfedge_t *b )
{
point2d_t *rv, *lv, *u, *v;
halfedge_t *c, *dd, *du;
b = b->pair;
rv = b->vertex;
dd = b;
lv = b->pair->vertex;
b = b->prev;
u = b->pair->vertex;
du = b->pair;
v = b->prev->pair->vertex;
if( classify_point_seg(lv, rv, u) == ON_LEFT )
{
assert( v != u && "1: floating point precision error");
while( v != lv && v != rv && in_circle(lv, rv, u, v) == INSIDE )
{
c = b->prev;
du = c->pair;
del_remove_edge(b);
b = c;
u = du->vertex;
v = b->prev->pair->vertex;
}
assert( v != u && "1: floating point precision error");
if( v != lv && v != rv && in_circle(lv, rv, u, v) == ON_CIRCLE )
{
du = du->next;
del_remove_edge(b);
}
} else
du = dd;
assert(du->pair);
return du;
}
/*
* validate a link
*/
static halfedge_t* del_valid_link( halfedge_t *b )
{
point2d_t *g, *g_p, *d, *d_p;
halfedge_t *gd, *dd, *new_gd, *new_dd;
int a;
g = b->vertex;
gd = del_valid_left(b);
g_p = gd->vertex;
assert(b->pair);
d = b->pair->vertex;
dd = del_valid_right(b);
d_p = dd->vertex;
assert(b->pair);
if( g != g_p && d != d_p ) {
a = in_circle(g, d, g_p, d_p);
if( a != ON_CIRCLE ) {
if( a == INSIDE ) {
g_p = g;
gd = b;
} else {
d_p = d;
dd = b->pair;
}
}
}
/* create the 2 halfedges */
new_gd = halfedge_alloc();
new_dd = halfedge_alloc();
/* setup new_gd and new_dd */
new_gd->vertex = gd->vertex;
new_gd->pair = new_dd;
new_gd->prev = gd;
new_gd->next = gd->next;
gd->next->prev = new_gd;
gd->next = new_gd;
new_dd->vertex = dd->vertex;
new_dd->pair = new_gd;
new_dd->prev = dd->prev;
dd->prev->next = new_dd;
new_dd->next = dd;
dd->prev = new_dd;
return new_gd;
}
/*
* find the lower tangent between the two delaunay, going from left to right (returns the left half edge)
*/
static halfedge_t* del_get_lower_tangent( delaunay_t *left, delaunay_t *right )
{
point2d_t *pl, *pr;
halfedge_t *right_d, *left_d, *new_ld, *new_rd;
int sl, sr;
left_d = left->rightmost_he;
right_d = right->leftmost_he;
do {
pl = left_d->prev->pair->vertex;
pr = right_d->pair->vertex;
if( (sl = classify_point_seg(left_d->vertex, right_d->vertex, pl)) == ON_RIGHT ) {
left_d = left_d->prev->pair;
}
if( (sr = classify_point_seg(left_d->vertex, right_d->vertex, pr)) == ON_RIGHT ) {
right_d = right_d->pair->next;
}
} while( sl == ON_RIGHT || sr == ON_RIGHT );
/* create the 2 halfedges */
new_ld = halfedge_alloc();
new_rd = halfedge_alloc();
/* setup new_gd and new_dd */
new_ld->vertex = left_d->vertex;
new_ld->pair = new_rd;
new_ld->prev = left_d->prev;
left_d->prev->next = new_ld;
new_ld->next = left_d;
left_d->prev = new_ld;
new_rd->vertex = right_d->vertex;
new_rd->pair = new_ld;
new_rd->prev = right_d->prev;
right_d->prev->next = new_rd;
new_rd->next = right_d;
right_d->prev = new_rd;
return new_ld;
}
/*
* link the 2 delaunay together
*/
static void del_link( delaunay_t *result, delaunay_t *left, delaunay_t *right )
{
point2d_t *u, *v, *ml, *mr;
halfedge_t *base;
assert( left->points == right->points );
/* save the most right point and the most left point */
ml = left->leftmost_he->vertex;
mr = right->rightmost_he->vertex;
base = del_get_lower_tangent(left, right);
u = base->next->pair->vertex;
v = base->pair->prev->pair->vertex;
while( del_classify_point(base, u) == ON_LEFT ||
del_classify_point(base, v) == ON_LEFT )
{
base = del_valid_link(base);
u = base->next->pair->vertex;
v = base->pair->prev->pair->vertex;
}
right->rightmost_he = mr->he;
left->leftmost_he = ml->he;
/* TODO: this part is not needed, and can be optimized */
while( del_classify_point( right->rightmost_he, right->rightmost_he->prev->pair->vertex ) == ON_RIGHT )
right->rightmost_he = right->rightmost_he->prev;
while( del_classify_point( left->leftmost_he, left->leftmost_he->prev->pair->vertex ) == ON_RIGHT )
left->leftmost_he = left->leftmost_he->prev;
result->leftmost_he = left->leftmost_he;
result->rightmost_he = right->rightmost_he;
result->points = left->points;
result->start_point = left->start_point;
result->end_point = right->end_point;
}
/*
* divide and conquer delaunay
*/
void del_divide_and_conquer( delaunay_t *del, int start, int end )
{
delaunay_t left, right;
int i, n;
n = (end - start + 1);
if( n > 3 ) {
i = (n / 2) + (n & 1);
left.points = del->points;
right.points = del->points;
del_divide_and_conquer( &left, start, start + i - 1 );
del_divide_and_conquer( &right, start + i, end );
del_link( del, &left, &right );
} else {
if( n == 3 ) {
del_init_tri( del, start );
} else {
if( n == 2 ) {
del_init_seg( del, start );
}
}
}
}
static void build_halfedge_face( delaunay_t *del, halfedge_t *d )
{
halfedge_t *curr;
/* test if the halfedge has already a pointing face */
if( d->face != NULL )
return;
/* TODO: optimize this */
del->faces = (face_t*)realloc(del->faces, (del->num_faces + 1) * sizeof(face_t));
assert( NULL != del->faces );
face_t *f = &(del->faces[del->num_faces]);
curr = d;
f->he = d;
f->num_verts = 0;
do {
curr->face = f;
(f->num_verts)++;
curr = curr->pair->prev;
} while( curr != d );
(del->num_faces)++;
}
/*
* build the faces for all the halfedge
*/
void del_build_faces( delaunay_t *del )
{
unsigned int i;
halfedge_t *curr;
del->num_faces = 0;
del->faces = NULL;
/* build external face first */
build_halfedge_face(del, del->rightmost_he->pair);
for( i = del->start_point; i <= del->end_point; i++ )
{
curr = del->points[i].he;
do {
build_halfedge_face( del, curr );
curr = curr->next;
} while( curr != del->points[i].he );
}
}
/*
*/
delaunay2d_t* delaunay2d_from(del_point2d_t *points, unsigned int num_points) {
delaunay2d_t* res = NULL;
delaunay_t del;
unsigned int i, j, fbuff_size = 0;
unsigned int* faces = NULL;
/* allocate the points */
del.points = (point2d_t*)malloc(num_points * sizeof(point2d_t));
assert( NULL != del.points );
memset(del.points, 0, num_points * sizeof(point2d_t));
/* copy the points */
for( i = 0; i < num_points; i++ )
{
del.points[i].idx = i;
del.points[i].x = points[i].x;
del.points[i].y = points[i].y;
}
qsort(del.points, num_points, sizeof(point2d_t), cmp_points);
if( num_points >= 3 ) {
del_divide_and_conquer( &del, 0, num_points - 1 );
del_build_faces( &del );
fbuff_size = 0;
for( i = 0; i < del.num_faces; i++ )
fbuff_size += del.faces[i].num_verts + 1;
faces = (unsigned int*)malloc(sizeof(unsigned int) * fbuff_size);
assert( NULL != faces );
j = 0;
for( i = 0; i < del.num_faces; i++ )
{
halfedge_t *curr;
faces[j] = del.faces[i].num_verts;
j++;
curr = del.faces[i].he;
do {
faces[j] = curr->vertex->idx;
j++;
curr = curr->pair->prev;
} while( curr != del.faces[i].he );
}
del_free_halfedges( &del );
free(del.faces);
free(del.points);
}
res = (delaunay2d_t*)malloc(sizeof(delaunay2d_t));
assert( NULL != res );
res->num_points = num_points;
res->points = (del_point2d_t*)malloc(sizeof(del_point2d_t) * num_points);
assert( NULL != res->points );
memcpy(res->points, points, sizeof(del_point2d_t) * num_points);
res->num_faces = del.num_faces;
res->faces = faces;
return res;
}
void delaunay2d_release(delaunay2d_t *del) {
free(del->faces);
free(del->points);
free(del);
}
tri_delaunay2d_t* tri_delaunay2d_from(delaunay2d_t* del) {
unsigned int v_offset = del->faces[0] + 1; /* ignore external face */
unsigned int dst_offset = 0;
unsigned int i;
tri_delaunay2d_t* tdel = (tri_delaunay2d_t*)malloc(sizeof(tri_delaunay2d_t));
assert( NULL != tdel );
tdel->num_triangles = 0;
/* count the number of triangles */
if( 1 == del->num_faces ) { /* degenerate case: only external face exists */
unsigned int nv = del->faces[0];
tdel->num_triangles += nv - 2;
} else {
for( i = 1; i < del->num_faces; ++i ) {
unsigned int nv = del->faces[v_offset];
tdel->num_triangles += nv - 2;
v_offset += nv + 1;
}
}
/* copy points */
tdel->num_points = del->num_points;
tdel->points = (del_point2d_t*)malloc(sizeof(del_point2d_t) * del->num_points);
assert( NULL != tdel->points );
memcpy(tdel->points, del->points, sizeof(del_point2d_t) * del->num_points);
/* build the triangles */
tdel->tris = (unsigned int*)malloc(sizeof(unsigned int) * 3 * tdel->num_triangles);
assert( NULL != tdel->tris );
v_offset = del->faces[0] + 1; /* ignore external face */
if( 1 == del->num_faces ) {
/* handle the degenerated case where only the external face exists */
unsigned int nv = del->faces[0];
unsigned int j = 0;
v_offset = 1;
for( ; j < nv - 2; ++j ) {
tdel->tris[dst_offset] = del->faces[v_offset + j];
tdel->tris[dst_offset + 1] = del->faces[(v_offset + j + 1) % nv];
tdel->tris[dst_offset + 2] = del->faces[v_offset + j];
dst_offset += 3;
}
} else {
for( i = 1; i < del->num_faces; ++i ) {
unsigned int nv = del->faces[v_offset];
unsigned int j = 0;
unsigned int first = del->faces[v_offset + 1];
for( ; j < nv - 2; ++j ) {
tdel->tris[dst_offset] = first;
tdel->tris[dst_offset + 1] = del->faces[v_offset + j + 2];
tdel->tris[dst_offset + 2] = del->faces[v_offset + j + 3];
dst_offset += 3;
}
v_offset += nv + 1;
}
}
return tdel;
}
void tri_delaunay2d_release(tri_delaunay2d_t* tdel) {
free(tdel->tris);
free(tdel->points);
free(tdel);
}
#endif
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