2007-12-08 17:49:55 +00:00
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/*
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===========================================================================
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Project: Generic Polygon Clipper
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A new algorithm for calculating the difference, intersection,
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exclusive-or or union of arbitrary polygon sets.
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File: gpc.c
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Author: Alan Murta (email: gpc@cs.man.ac.uk)
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Version: 2.32
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Date: 17th December 2004
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Copyright: (C) Advanced Interfaces Group,
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University of Manchester.
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This software is free for non-commercial use. It may be copied,
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modified, and redistributed provided that this copyright notice
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is preserved on all copies. The intellectual property rights of
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the algorithms used reside with the University of Manchester
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Advanced Interfaces Group.
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You may not use this software, in whole or in part, in support
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of any commercial product without the express consent of the
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author.
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There is no warranty or other guarantee of fitness of this
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software for any purpose. It is provided solely "as is".
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===========================================================================
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*/
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/*
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===========================================================================
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Includes
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===========================================================================
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*/
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#include "GenericPolygonClipperLibrary.h"
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#include <stdlib.h>
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#include <float.h>
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#include <math.h>
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/*
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===========================================================================
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Constants
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===========================================================================
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*/
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#ifndef TRUE
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#define FALSE 0
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#define TRUE 1
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#endif
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#define LEFT 0
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#define RIGHT 1
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#define ABOVE 0
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#define BELOW 1
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#define CLIP 0
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#define SUBJ 1
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#define INVERT_TRISTRIPS FALSE
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/*
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===========================================================================
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Macros
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===========================================================================
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*/
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#define EQ(a, b) (fabs((a) - (b)) <= GPC_EPSILON)
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#define PREV_INDEX(i, n) ((i - 1 + n) % n)
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#define NEXT_INDEX(i, n) ((i + 1 ) % n)
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#define OPTIMAL(v, i, n) ((v[PREV_INDEX(i, n)].y != v[i].y) || \
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(v[NEXT_INDEX(i, n)].y != v[i].y))
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#define FWD_MIN(v, i, n) ((v[PREV_INDEX(i, n)].vertex.y >= v[i].vertex.y) \
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&& (v[NEXT_INDEX(i, n)].vertex.y > v[i].vertex.y))
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#define NOT_FMAX(v, i, n) (v[NEXT_INDEX(i, n)].vertex.y > v[i].vertex.y)
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#define REV_MIN(v, i, n) ((v[PREV_INDEX(i, n)].vertex.y > v[i].vertex.y) \
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&& (v[NEXT_INDEX(i, n)].vertex.y >= v[i].vertex.y))
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#define NOT_RMAX(v, i, n) (v[PREV_INDEX(i, n)].vertex.y > v[i].vertex.y)
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#define VERTEX(e,p,s,x,y) {add_vertex(&((e)->outp[(p)]->v[(s)]), x, y); \
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(e)->outp[(p)]->active++;}
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#define P_EDGE(d,e,p,i,j) {(d)= (e); \
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do {(d)= (d)->prev;} while (!(d)->outp[(p)]); \
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(i)= (d)->bot.x + (d)->dx * ((j)-(d)->bot.y);}
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#define N_EDGE(d,e,p,i,j) {(d)= (e); \
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do {(d)= (d)->next;} while (!(d)->outp[(p)]); \
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(i)= (d)->bot.x + (d)->dx * ((j)-(d)->bot.y);}
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#define MALLOC(p, b, s, t) {if ((b) > 0) { \
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p= (t*)malloc(b); if (!(p)) { \
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fprintf(stderr, "gpc malloc failure: %s\n", s); \
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exit(0);}} else p= NULL;}
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#define FREE(p) {if (p) {free(p); (p)= NULL;}}
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/*
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===========================================================================
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Private Data Types
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===========================================================================
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*/
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typedef enum /* Edge intersection classes */
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{
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NUL, /* Empty non-intersection */
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EMX, /* External maximum */
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ELI, /* External left intermediate */
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TED, /* Top edge */
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ERI, /* External right intermediate */
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RED, /* Right edge */
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IMM, /* Internal maximum and minimum */
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IMN, /* Internal minimum */
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EMN, /* External minimum */
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EMM, /* External maximum and minimum */
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LED, /* Left edge */
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ILI, /* Internal left intermediate */
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BED, /* Bottom edge */
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IRI, /* Internal right intermediate */
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IMX, /* Internal maximum */
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FUL /* Full non-intersection */
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} vertex_type;
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typedef enum /* Horizontal edge states */
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{
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NH, /* No horizontal edge */
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BH, /* Bottom horizontal edge */
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TH /* Top horizontal edge */
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} h_state;
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typedef enum /* Edge bundle state */
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{
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UNBUNDLED, /* Isolated edge not within a bundle */
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BUNDLE_HEAD, /* Bundle head node */
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BUNDLE_TAIL /* Passive bundle tail node */
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} bundle_state;
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typedef struct v_shape /* Internal vertex list datatype */
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{
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double x; /* X coordinate component */
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double y; /* Y coordinate component */
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struct v_shape *next; /* Pointer to next vertex in list */
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} vertex_node;
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typedef struct p_shape /* Internal contour / tristrip type */
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{
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int active; /* Active flag / vertex count */
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int hole; /* Hole / external contour flag */
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vertex_node *v[2]; /* Left and right vertex list ptrs */
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struct p_shape *next; /* Pointer to next polygon contour */
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struct p_shape *proxy; /* Pointer to actual structure used */
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} polygon_node;
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typedef struct edge_shape
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{
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gpc_vertex vertex; /* Piggy-backed contour vertex data */
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gpc_vertex bot; /* Edge lower (x, y) coordinate */
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gpc_vertex top; /* Edge upper (x, y) coordinate */
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double xb; /* Scanbeam bottom x coordinate */
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double xt; /* Scanbeam top x coordinate */
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double dx; /* Change in x for a unit y increase */
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int type; /* Clip / subject edge flag */
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int bundle[2][2]; /* Bundle edge flags */
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int bside[2]; /* Bundle left / right indicators */
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bundle_state bstate[2]; /* Edge bundle state */
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polygon_node *outp[2]; /* Output polygon / tristrip pointer */
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struct edge_shape *prev; /* Previous edge in the AET */
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struct edge_shape *next; /* Next edge in the AET */
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struct edge_shape *pred; /* Edge connected at the lower end */
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struct edge_shape *succ; /* Edge connected at the upper end */
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struct edge_shape *next_bound; /* Pointer to next bound in LMT */
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} edge_node;
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typedef struct lmt_shape /* Local minima table */
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{
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double y; /* Y coordinate at local minimum */
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edge_node *first_bound; /* Pointer to bound list */
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struct lmt_shape *next; /* Pointer to next local minimum */
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} lmt_node;
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typedef struct sbt_t_shape /* Scanbeam tree */
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{
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double y; /* Scanbeam node y value */
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struct sbt_t_shape *less; /* Pointer to nodes with lower y */
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struct sbt_t_shape *more; /* Pointer to nodes with higher y */
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} sb_tree;
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typedef struct it_shape /* Intersection table */
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{
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edge_node *ie[2]; /* Intersecting edge (bundle) pair */
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gpc_vertex point; /* Point of intersection */
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struct it_shape *next; /* The next intersection table node */
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} it_node;
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typedef struct st_shape /* Sorted edge table */
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{
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edge_node *edge; /* Pointer to AET edge */
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double xb; /* Scanbeam bottom x coordinate */
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double xt; /* Scanbeam top x coordinate */
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double dx; /* Change in x for a unit y increase */
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struct st_shape *prev; /* Previous edge in sorted list */
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} st_node;
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typedef struct bbox_shape /* Contour axis-aligned bounding box */
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{
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double xmin; /* Minimum x coordinate */
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double ymin; /* Minimum y coordinate */
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double xmax; /* Maximum x coordinate */
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double ymax; /* Maximum y coordinate */
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} bbox;
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/*
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===========================================================================
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Global Data
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===========================================================================
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*/
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/* Horizontal edge state transitions within scanbeam boundary */
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const h_state next_h_state[3][6]=
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{
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/* ABOVE BELOW CROSS */
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/* L R L R L R */
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/* NH */ {BH, TH, TH, BH, NH, NH},
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/* BH */ {NH, NH, NH, NH, TH, TH},
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/* TH */ {NH, NH, NH, NH, BH, BH}
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};
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/*
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===========================================================================
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Private Functions
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===========================================================================
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*/
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static void reset_it(it_node **it)
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{
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it_node *itn;
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while (*it)
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{
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itn= (*it)->next;
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FREE(*it);
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*it= itn;
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}
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}
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static void reset_lmt(lmt_node **lmt)
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{
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lmt_node *lmtn;
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while (*lmt)
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{
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lmtn= (*lmt)->next;
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FREE(*lmt);
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*lmt= lmtn;
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}
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}
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static void insert_bound(edge_node **b, edge_node *e)
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{
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edge_node *existing_bound;
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if (!*b)
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{
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/* Link node e to the tail of the list */
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*b= e;
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}
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else
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{
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/* Do primary sort on the x field */
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if (e[0].bot.x < (*b)[0].bot.x)
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{
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/* Insert a new node mid-list */
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existing_bound= *b;
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*b= e;
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(*b)->next_bound= existing_bound;
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}
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else
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{
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if (e[0].bot.x == (*b)[0].bot.x)
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{
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/* Do secondary sort on the dx field */
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if (e[0].dx < (*b)[0].dx)
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{
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/* Insert a new node mid-list */
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existing_bound= *b;
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*b= e;
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(*b)->next_bound= existing_bound;
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}
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else
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{
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/* Head further down the list */
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insert_bound(&((*b)->next_bound), e);
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}
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}
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else
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{
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/* Head further down the list */
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insert_bound(&((*b)->next_bound), e);
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}
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}
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}
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}
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static edge_node **bound_list(lmt_node **lmt, double y)
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{
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lmt_node *existing_node;
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if (!*lmt)
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{
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/* Add node onto the tail end of the LMT */
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MALLOC(*lmt, sizeof(lmt_node), "LMT insertion", lmt_node);
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(*lmt)->y= y;
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(*lmt)->first_bound= NULL;
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(*lmt)->next= NULL;
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return &((*lmt)->first_bound);
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}
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else
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if (y < (*lmt)->y)
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{
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/* Insert a new LMT node before the current node */
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existing_node= *lmt;
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MALLOC(*lmt, sizeof(lmt_node), "LMT insertion", lmt_node);
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(*lmt)->y= y;
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(*lmt)->first_bound= NULL;
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(*lmt)->next= existing_node;
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return &((*lmt)->first_bound);
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}
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else
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if (y > (*lmt)->y)
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/* Head further up the LMT */
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return bound_list(&((*lmt)->next), y);
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else
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/* Use this existing LMT node */
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return &((*lmt)->first_bound);
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}
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static void add_to_sbtree(int *entries, sb_tree **sbtree, double y)
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{
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if (!*sbtree)
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{
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/* Add a new tree node here */
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MALLOC(*sbtree, sizeof(sb_tree), "scanbeam tree insertion", sb_tree);
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(*sbtree)->y= y;
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(*sbtree)->less= NULL;
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(*sbtree)->more= NULL;
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(*entries)++;
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}
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else
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{
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if ((*sbtree)->y > y)
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{
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/* Head into the 'less' sub-tree */
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add_to_sbtree(entries, &((*sbtree)->less), y);
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}
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else
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{
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if ((*sbtree)->y < y)
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{
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/* Head into the 'more' sub-tree */
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add_to_sbtree(entries, &((*sbtree)->more), y);
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}
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}
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}
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}
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static void build_sbt(int *entries, double *sbt, sb_tree *sbtree)
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{
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if (sbtree->less)
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build_sbt(entries, sbt, sbtree->less);
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sbt[*entries]= sbtree->y;
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(*entries)++;
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if (sbtree->more)
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build_sbt(entries, sbt, sbtree->more);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void free_sbtree(sb_tree **sbtree)
|
|
|
|
{
|
|
|
|
if (*sbtree)
|
|
|
|
{
|
|
|
|
free_sbtree(&((*sbtree)->less));
|
|
|
|
free_sbtree(&((*sbtree)->more));
|
|
|
|
FREE(*sbtree);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static int count_optimal_vertices(gpc_vertex_list c)
|
|
|
|
{
|
|
|
|
int result= 0, i;
|
|
|
|
|
|
|
|
/* Ignore non-contributing contours */
|
|
|
|
if (c.num_vertices > 0)
|
|
|
|
{
|
|
|
|
for (i= 0; i < c.num_vertices; i++)
|
|
|
|
/* Ignore superfluous vertices embedded in horizontal edges */
|
|
|
|
if (OPTIMAL(c.vertex, i, c.num_vertices))
|
|
|
|
result++;
|
|
|
|
}
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static edge_node *build_lmt(lmt_node **lmt, sb_tree **sbtree,
|
|
|
|
int *sbt_entries, gpc_polygon *p, int type,
|
|
|
|
gpc_op op)
|
|
|
|
{
|
|
|
|
int c, i, min, max, num_edges, v, num_vertices;
|
|
|
|
int total_vertices= 0, e_index=0;
|
|
|
|
edge_node *e, *edge_table;
|
|
|
|
|
|
|
|
for (c= 0; c < p->num_contours; c++)
|
|
|
|
total_vertices+= count_optimal_vertices(p->contour[c]);
|
|
|
|
|
|
|
|
/* Create the entire input polygon edge table in one go */
|
|
|
|
MALLOC(edge_table, total_vertices * sizeof(edge_node),
|
|
|
|
"edge table creation", edge_node);
|
|
|
|
|
|
|
|
for (c= 0; c < p->num_contours; c++)
|
|
|
|
{
|
|
|
|
if (p->contour[c].num_vertices < 0)
|
|
|
|
{
|
|
|
|
/* Ignore the non-contributing contour and repair the vertex count */
|
|
|
|
p->contour[c].num_vertices= -p->contour[c].num_vertices;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
/* Perform contour optimisation */
|
|
|
|
num_vertices= 0;
|
|
|
|
for (i= 0; i < p->contour[c].num_vertices; i++)
|
|
|
|
if (OPTIMAL(p->contour[c].vertex, i, p->contour[c].num_vertices))
|
|
|
|
{
|
|
|
|
edge_table[num_vertices].vertex.x= p->contour[c].vertex[i].x;
|
|
|
|
edge_table[num_vertices].vertex.y= p->contour[c].vertex[i].y;
|
|
|
|
|
|
|
|
/* Record vertex in the scanbeam table */
|
|
|
|
add_to_sbtree(sbt_entries, sbtree,
|
|
|
|
edge_table[num_vertices].vertex.y);
|
|
|
|
|
|
|
|
num_vertices++;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Do the contour forward pass */
|
|
|
|
for (min= 0; min < num_vertices; min++)
|
|
|
|
{
|
|
|
|
/* If a forward local minimum... */
|
|
|
|
if (FWD_MIN(edge_table, min, num_vertices))
|
|
|
|
{
|
|
|
|
/* Search for the next local maximum... */
|
|
|
|
num_edges= 1;
|
|
|
|
max= NEXT_INDEX(min, num_vertices);
|
|
|
|
while (NOT_FMAX(edge_table, max, num_vertices))
|
|
|
|
{
|
|
|
|
num_edges++;
|
|
|
|
max= NEXT_INDEX(max, num_vertices);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Build the next edge list */
|
|
|
|
e= &edge_table[e_index];
|
|
|
|
e_index+= num_edges;
|
|
|
|
v= min;
|
|
|
|
e[0].bstate[BELOW]= UNBUNDLED;
|
|
|
|
e[0].bundle[BELOW][CLIP]= FALSE;
|
|
|
|
e[0].bundle[BELOW][SUBJ]= FALSE;
|
|
|
|
for (i= 0; i < num_edges; i++)
|
|
|
|
{
|
|
|
|
e[i].xb= edge_table[v].vertex.x;
|
|
|
|
e[i].bot.x= edge_table[v].vertex.x;
|
|
|
|
e[i].bot.y= edge_table[v].vertex.y;
|
|
|
|
|
|
|
|
v= NEXT_INDEX(v, num_vertices);
|
|
|
|
|
|
|
|
e[i].top.x= edge_table[v].vertex.x;
|
|
|
|
e[i].top.y= edge_table[v].vertex.y;
|
|
|
|
e[i].dx= (edge_table[v].vertex.x - e[i].bot.x) /
|
|
|
|
(e[i].top.y - e[i].bot.y);
|
|
|
|
e[i].type= type;
|
|
|
|
e[i].outp[ABOVE]= NULL;
|
|
|
|
e[i].outp[BELOW]= NULL;
|
|
|
|
e[i].next= NULL;
|
|
|
|
e[i].prev= NULL;
|
|
|
|
e[i].succ= ((num_edges > 1) && (i < (num_edges - 1))) ?
|
|
|
|
&(e[i + 1]) : NULL;
|
|
|
|
e[i].pred= ((num_edges > 1) && (i > 0)) ? &(e[i - 1]) : NULL;
|
|
|
|
e[i].next_bound= NULL;
|
|
|
|
e[i].bside[CLIP]= (op == GPC_DIFF) ? RIGHT : LEFT;
|
|
|
|
e[i].bside[SUBJ]= LEFT;
|
|
|
|
}
|
|
|
|
insert_bound(bound_list(lmt, edge_table[min].vertex.y), e);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Do the contour reverse pass */
|
|
|
|
for (min= 0; min < num_vertices; min++)
|
|
|
|
{
|
|
|
|
/* If a reverse local minimum... */
|
|
|
|
if (REV_MIN(edge_table, min, num_vertices))
|
|
|
|
{
|
|
|
|
/* Search for the previous local maximum... */
|
|
|
|
num_edges= 1;
|
|
|
|
max= PREV_INDEX(min, num_vertices);
|
|
|
|
while (NOT_RMAX(edge_table, max, num_vertices))
|
|
|
|
{
|
|
|
|
num_edges++;
|
|
|
|
max= PREV_INDEX(max, num_vertices);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Build the previous edge list */
|
|
|
|
e= &edge_table[e_index];
|
|
|
|
e_index+= num_edges;
|
|
|
|
v= min;
|
|
|
|
e[0].bstate[BELOW]= UNBUNDLED;
|
|
|
|
e[0].bundle[BELOW][CLIP]= FALSE;
|
|
|
|
e[0].bundle[BELOW][SUBJ]= FALSE;
|
|
|
|
for (i= 0; i < num_edges; i++)
|
|
|
|
{
|
|
|
|
e[i].xb= edge_table[v].vertex.x;
|
|
|
|
e[i].bot.x= edge_table[v].vertex.x;
|
|
|
|
e[i].bot.y= edge_table[v].vertex.y;
|
|
|
|
|
|
|
|
v= PREV_INDEX(v, num_vertices);
|
|
|
|
|
|
|
|
e[i].top.x= edge_table[v].vertex.x;
|
|
|
|
e[i].top.y= edge_table[v].vertex.y;
|
|
|
|
e[i].dx= (edge_table[v].vertex.x - e[i].bot.x) /
|
|
|
|
(e[i].top.y - e[i].bot.y);
|
|
|
|
e[i].type= type;
|
|
|
|
e[i].outp[ABOVE]= NULL;
|
|
|
|
e[i].outp[BELOW]= NULL;
|
|
|
|
e[i].next= NULL;
|
|
|
|
e[i].prev= NULL;
|
|
|
|
e[i].succ= ((num_edges > 1) && (i < (num_edges - 1))) ?
|
|
|
|
&(e[i + 1]) : NULL;
|
|
|
|
e[i].pred= ((num_edges > 1) && (i > 0)) ? &(e[i - 1]) : NULL;
|
|
|
|
e[i].next_bound= NULL;
|
|
|
|
e[i].bside[CLIP]= (op == GPC_DIFF) ? RIGHT : LEFT;
|
|
|
|
e[i].bside[SUBJ]= LEFT;
|
|
|
|
}
|
|
|
|
insert_bound(bound_list(lmt, edge_table[min].vertex.y), e);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return edge_table;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void add_edge_to_aet(edge_node **aet, edge_node *edge, edge_node *prev)
|
|
|
|
{
|
|
|
|
if (!*aet)
|
|
|
|
{
|
|
|
|
/* Append edge onto the tail end of the AET */
|
|
|
|
*aet= edge;
|
|
|
|
edge->prev= prev;
|
|
|
|
edge->next= NULL;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
/* Do primary sort on the xb field */
|
|
|
|
if (edge->xb < (*aet)->xb)
|
|
|
|
{
|
|
|
|
/* Insert edge here (before the AET edge) */
|
|
|
|
edge->prev= prev;
|
|
|
|
edge->next= *aet;
|
|
|
|
(*aet)->prev= edge;
|
|
|
|
*aet= edge;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
if (edge->xb == (*aet)->xb)
|
|
|
|
{
|
|
|
|
/* Do secondary sort on the dx field */
|
|
|
|
if (edge->dx < (*aet)->dx)
|
|
|
|
{
|
|
|
|
/* Insert edge here (before the AET edge) */
|
|
|
|
edge->prev= prev;
|
|
|
|
edge->next= *aet;
|
|
|
|
(*aet)->prev= edge;
|
|
|
|
*aet= edge;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
/* Head further into the AET */
|
|
|
|
add_edge_to_aet(&((*aet)->next), edge, *aet);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
/* Head further into the AET */
|
|
|
|
add_edge_to_aet(&((*aet)->next), edge, *aet);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void add_intersection(it_node **it, edge_node *edge0, edge_node *edge1,
|
|
|
|
double x, double y)
|
|
|
|
{
|
|
|
|
it_node *existing_node;
|
|
|
|
|
|
|
|
if (!*it)
|
|
|
|
{
|
|
|
|
/* Append a new node to the tail of the list */
|
|
|
|
MALLOC(*it, sizeof(it_node), "IT insertion", it_node);
|
|
|
|
(*it)->ie[0]= edge0;
|
|
|
|
(*it)->ie[1]= edge1;
|
|
|
|
(*it)->point.x= x;
|
|
|
|
(*it)->point.y= y;
|
|
|
|
(*it)->next= NULL;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
if ((*it)->point.y > y)
|
|
|
|
{
|
|
|
|
/* Insert a new node mid-list */
|
|
|
|
existing_node= *it;
|
|
|
|
MALLOC(*it, sizeof(it_node), "IT insertion", it_node);
|
|
|
|
(*it)->ie[0]= edge0;
|
|
|
|
(*it)->ie[1]= edge1;
|
|
|
|
(*it)->point.x= x;
|
|
|
|
(*it)->point.y= y;
|
|
|
|
(*it)->next= existing_node;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
/* Head further down the list */
|
|
|
|
add_intersection(&((*it)->next), edge0, edge1, x, y);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void add_st_edge(st_node **st, it_node **it, edge_node *edge,
|
|
|
|
double dy)
|
|
|
|
{
|
|
|
|
st_node *existing_node;
|
|
|
|
double den, r, x, y;
|
|
|
|
|
|
|
|
if (!*st)
|
|
|
|
{
|
|
|
|
/* Append edge onto the tail end of the ST */
|
|
|
|
MALLOC(*st, sizeof(st_node), "ST insertion", st_node);
|
|
|
|
(*st)->edge= edge;
|
|
|
|
(*st)->xb= edge->xb;
|
|
|
|
(*st)->xt= edge->xt;
|
|
|
|
(*st)->dx= edge->dx;
|
|
|
|
(*st)->prev= NULL;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
den= ((*st)->xt - (*st)->xb) - (edge->xt - edge->xb);
|
|
|
|
|
|
|
|
/* If new edge and ST edge don't cross */
|
|
|
|
if ((edge->xt >= (*st)->xt) || (edge->dx == (*st)->dx) ||
|
|
|
|
(fabs(den) <= DBL_EPSILON))
|
|
|
|
{
|
|
|
|
/* No intersection - insert edge here (before the ST edge) */
|
|
|
|
existing_node= *st;
|
|
|
|
MALLOC(*st, sizeof(st_node), "ST insertion", st_node);
|
|
|
|
(*st)->edge= edge;
|
|
|
|
(*st)->xb= edge->xb;
|
|
|
|
(*st)->xt= edge->xt;
|
|
|
|
(*st)->dx= edge->dx;
|
|
|
|
(*st)->prev= existing_node;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
/* Compute intersection between new edge and ST edge */
|
|
|
|
r= (edge->xb - (*st)->xb) / den;
|
|
|
|
x= (*st)->xb + r * ((*st)->xt - (*st)->xb);
|
|
|
|
y= r * dy;
|
|
|
|
|
|
|
|
/* Insert the edge pointers and the intersection point in the IT */
|
|
|
|
add_intersection(it, (*st)->edge, edge, x, y);
|
|
|
|
|
|
|
|
/* Head further into the ST */
|
|
|
|
add_st_edge(&((*st)->prev), it, edge, dy);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void build_intersection_table(it_node **it, edge_node *aet, double dy)
|
|
|
|
{
|
|
|
|
st_node *st, *stp;
|
|
|
|
edge_node *edge;
|
|
|
|
|
|
|
|
/* Build intersection table for the current scanbeam */
|
|
|
|
reset_it(it);
|
|
|
|
st= NULL;
|
|
|
|
|
|
|
|
/* Process each AET edge */
|
|
|
|
for (edge= aet; edge; edge= edge->next)
|
|
|
|
{
|
|
|
|
if ((edge->bstate[ABOVE] == BUNDLE_HEAD) ||
|
|
|
|
edge->bundle[ABOVE][CLIP] || edge->bundle[ABOVE][SUBJ])
|
|
|
|
add_st_edge(&st, it, edge, dy);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Free the sorted edge table */
|
|
|
|
while (st)
|
|
|
|
{
|
|
|
|
stp= st->prev;
|
|
|
|
FREE(st);
|
|
|
|
st= stp;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
static int count_contours(polygon_node *polygon)
|
|
|
|
{
|
|
|
|
int nc, nv;
|
|
|
|
vertex_node *v, *nextv;
|
|
|
|
|
|
|
|
for (nc= 0; polygon; polygon= polygon->next)
|
|
|
|
if (polygon->active)
|
|
|
|
{
|
|
|
|
/* Count the vertices in the current contour */
|
|
|
|
nv= 0;
|
|
|
|
for (v= polygon->proxy->v[LEFT]; v; v= v->next)
|
|
|
|
nv++;
|
|
|
|
|
|
|
|
/* Record valid vertex counts in the active field */
|
|
|
|
if (nv > 2)
|
|
|
|
{
|
|
|
|
polygon->active= nv;
|
|
|
|
nc++;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
/* Invalid contour: just free the heap */
|
|
|
|
for (v= polygon->proxy->v[LEFT]; v; v= nextv)
|
|
|
|
{
|
|
|
|
nextv= v->next;
|
|
|
|
FREE(v);
|
|
|
|
}
|
|
|
|
polygon->active= 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return nc;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void add_left(polygon_node *p, double x, double y)
|
|
|
|
{
|
|
|
|
vertex_node *nv;
|
|
|
|
|
|
|
|
/* Create a new vertex node and set its fields */
|
|
|
|
MALLOC(nv, sizeof(vertex_node), "vertex node creation", vertex_node);
|
|
|
|
nv->x= x;
|
|
|
|
nv->y= y;
|
|
|
|
|
|
|
|
/* Add vertex nv to the left end of the polygon's vertex list */
|
|
|
|
nv->next= p->proxy->v[LEFT];
|
|
|
|
|
|
|
|
/* Update proxy->[LEFT] to point to nv */
|
|
|
|
p->proxy->v[LEFT]= nv;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void merge_left(polygon_node *p, polygon_node *q, polygon_node *list)
|
|
|
|
{
|
|
|
|
polygon_node *target;
|
|
|
|
|
|
|
|
/* Label contour as a hole */
|
|
|
|
q->proxy->hole= TRUE;
|
|
|
|
|
|
|
|
if (p->proxy != q->proxy)
|
|
|
|
{
|
|
|
|
/* Assign p's vertex list to the left end of q's list */
|
|
|
|
p->proxy->v[RIGHT]->next= q->proxy->v[LEFT];
|
|
|
|
q->proxy->v[LEFT]= p->proxy->v[LEFT];
|
|
|
|
|
|
|
|
/* Redirect any p->proxy references to q->proxy */
|
|
|
|
|
|
|
|
for (target= p->proxy; list; list= list->next)
|
|
|
|
{
|
|
|
|
if (list->proxy == target)
|
|
|
|
{
|
|
|
|
list->active= FALSE;
|
|
|
|
list->proxy= q->proxy;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void add_right(polygon_node *p, double x, double y)
|
|
|
|
{
|
|
|
|
vertex_node *nv;
|
|
|
|
|
|
|
|
/* Create a new vertex node and set its fields */
|
|
|
|
MALLOC(nv, sizeof(vertex_node), "vertex node creation", vertex_node);
|
|
|
|
nv->x= x;
|
|
|
|
nv->y= y;
|
|
|
|
nv->next= NULL;
|
|
|
|
|
|
|
|
/* Add vertex nv to the right end of the polygon's vertex list */
|
|
|
|
p->proxy->v[RIGHT]->next= nv;
|
|
|
|
|
|
|
|
/* Update proxy->v[RIGHT] to point to nv */
|
|
|
|
p->proxy->v[RIGHT]= nv;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void merge_right(polygon_node *p, polygon_node *q, polygon_node *list)
|
|
|
|
{
|
|
|
|
polygon_node *target;
|
|
|
|
|
|
|
|
/* Label contour as external */
|
|
|
|
q->proxy->hole= FALSE;
|
|
|
|
|
|
|
|
if (p->proxy != q->proxy)
|
|
|
|
{
|
|
|
|
/* Assign p's vertex list to the right end of q's list */
|
|
|
|
q->proxy->v[RIGHT]->next= p->proxy->v[LEFT];
|
|
|
|
q->proxy->v[RIGHT]= p->proxy->v[RIGHT];
|
|
|
|
|
|
|
|
/* Redirect any p->proxy references to q->proxy */
|
|
|
|
for (target= p->proxy; list; list= list->next)
|
|
|
|
{
|
|
|
|
if (list->proxy == target)
|
|
|
|
{
|
|
|
|
list->active= FALSE;
|
|
|
|
list->proxy= q->proxy;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void add_local_min(polygon_node **p, edge_node *edge,
|
|
|
|
double x, double y)
|
|
|
|
{
|
|
|
|
polygon_node *existing_min;
|
|
|
|
vertex_node *nv;
|
|
|
|
|
|
|
|
existing_min= *p;
|
|
|
|
|
|
|
|
MALLOC(*p, sizeof(polygon_node), "polygon node creation", polygon_node);
|
|
|
|
|
|
|
|
/* Create a new vertex node and set its fields */
|
|
|
|
MALLOC(nv, sizeof(vertex_node), "vertex node creation", vertex_node);
|
|
|
|
nv->x= x;
|
|
|
|
nv->y= y;
|
|
|
|
nv->next= NULL;
|
|
|
|
|
|
|
|
/* Initialise proxy to point to p itself */
|
|
|
|
(*p)->proxy= (*p);
|
|
|
|
(*p)->active= TRUE;
|
|
|
|
(*p)->next= existing_min;
|
|
|
|
|
|
|
|
/* Make v[LEFT] and v[RIGHT] point to new vertex nv */
|
|
|
|
(*p)->v[LEFT]= nv;
|
|
|
|
(*p)->v[RIGHT]= nv;
|
|
|
|
|
|
|
|
/* Assign polygon p to the edge */
|
|
|
|
edge->outp[ABOVE]= *p;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static int count_tristrips(polygon_node *tn)
|
|
|
|
{
|
|
|
|
int total;
|
|
|
|
|
|
|
|
for (total= 0; tn; tn= tn->next)
|
|
|
|
if (tn->active > 2)
|
|
|
|
total++;
|
|
|
|
return total;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void add_vertex(vertex_node **t, double x, double y)
|
|
|
|
{
|
|
|
|
if (!(*t))
|
|
|
|
{
|
|
|
|
MALLOC(*t, sizeof(vertex_node), "tristrip vertex creation", vertex_node);
|
|
|
|
(*t)->x= x;
|
|
|
|
(*t)->y= y;
|
|
|
|
(*t)->next= NULL;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
/* Head further down the list */
|
|
|
|
add_vertex(&((*t)->next), x, y);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void new_tristrip(polygon_node **tn, edge_node *edge,
|
|
|
|
double x, double y)
|
|
|
|
{
|
|
|
|
if (!(*tn))
|
|
|
|
{
|
|
|
|
MALLOC(*tn, sizeof(polygon_node), "tristrip node creation", polygon_node);
|
|
|
|
(*tn)->next= NULL;
|
|
|
|
(*tn)->v[LEFT]= NULL;
|
|
|
|
(*tn)->v[RIGHT]= NULL;
|
|
|
|
(*tn)->active= 1;
|
|
|
|
add_vertex(&((*tn)->v[LEFT]), x, y);
|
|
|
|
edge->outp[ABOVE]= *tn;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
/* Head further down the list */
|
|
|
|
new_tristrip(&((*tn)->next), edge, x, y);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static bbox *create_contour_bboxes(gpc_polygon *p)
|
|
|
|
{
|
|
|
|
bbox *box;
|
|
|
|
int c, v;
|
|
|
|
|
|
|
|
MALLOC(box, p->num_contours * sizeof(bbox), "Bounding box creation", bbox);
|
|
|
|
|
|
|
|
/* Construct contour bounding boxes */
|
|
|
|
for (c= 0; c < p->num_contours; c++)
|
|
|
|
{
|
|
|
|
/* Initialise bounding box extent */
|
|
|
|
box[c].xmin= DBL_MAX;
|
|
|
|
box[c].ymin= DBL_MAX;
|
|
|
|
box[c].xmax= -DBL_MAX;
|
|
|
|
box[c].ymax= -DBL_MAX;
|
|
|
|
|
|
|
|
for (v= 0; v < p->contour[c].num_vertices; v++)
|
|
|
|
{
|
|
|
|
/* Adjust bounding box */
|
|
|
|
if (p->contour[c].vertex[v].x < box[c].xmin)
|
|
|
|
box[c].xmin= p->contour[c].vertex[v].x;
|
|
|
|
if (p->contour[c].vertex[v].y < box[c].ymin)
|
|
|
|
box[c].ymin= p->contour[c].vertex[v].y;
|
|
|
|
if (p->contour[c].vertex[v].x > box[c].xmax)
|
|
|
|
box[c].xmax= p->contour[c].vertex[v].x;
|
|
|
|
if (p->contour[c].vertex[v].y > box[c].ymax)
|
|
|
|
box[c].ymax= p->contour[c].vertex[v].y;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return box;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
static void minimax_test(gpc_polygon *subj, gpc_polygon *clip, gpc_op op)
|
|
|
|
{
|
|
|
|
bbox *s_bbox, *c_bbox;
|
|
|
|
int s, c, *o_table, overlap;
|
|
|
|
|
|
|
|
s_bbox= create_contour_bboxes(subj);
|
|
|
|
c_bbox= create_contour_bboxes(clip);
|
|
|
|
|
|
|
|
MALLOC(o_table, subj->num_contours * clip->num_contours * sizeof(int),
|
|
|
|
"overlap table creation", int);
|
|
|
|
|
|
|
|
/* Check all subject contour bounding boxes against clip boxes */
|
|
|
|
for (s= 0; s < subj->num_contours; s++)
|
|
|
|
for (c= 0; c < clip->num_contours; c++)
|
|
|
|
o_table[c * subj->num_contours + s]=
|
|
|
|
(!((s_bbox[s].xmax < c_bbox[c].xmin) ||
|
|
|
|
(s_bbox[s].xmin > c_bbox[c].xmax))) &&
|
|
|
|
(!((s_bbox[s].ymax < c_bbox[c].ymin) ||
|
|
|
|
(s_bbox[s].ymin > c_bbox[c].ymax)));
|
|
|
|
|
|
|
|
/* For each clip contour, search for any subject contour overlaps */
|
|
|
|
for (c= 0; c < clip->num_contours; c++)
|
|
|
|
{
|
|
|
|
overlap= 0;
|
|
|
|
for (s= 0; (!overlap) && (s < subj->num_contours); s++)
|
|
|
|
overlap= o_table[c * subj->num_contours + s];
|
|
|
|
|
|
|
|
if (!overlap)
|
|
|
|
/* Flag non contributing status by negating vertex count */
|
|
|
|
clip->contour[c].num_vertices = -clip->contour[c].num_vertices;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (op == GPC_INT)
|
|
|
|
{
|
|
|
|
/* For each subject contour, search for any clip contour overlaps */
|
|
|
|
for (s= 0; s < subj->num_contours; s++)
|
|
|
|
{
|
|
|
|
overlap= 0;
|
|
|
|
for (c= 0; (!overlap) && (c < clip->num_contours); c++)
|
|
|
|
overlap= o_table[c * subj->num_contours + s];
|
|
|
|
|
|
|
|
if (!overlap)
|
|
|
|
/* Flag non contributing status by negating vertex count */
|
|
|
|
subj->contour[s].num_vertices = -subj->contour[s].num_vertices;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
FREE(s_bbox);
|
|
|
|
FREE(c_bbox);
|
|
|
|
FREE(o_table);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
===========================================================================
|
|
|
|
Public Functions
|
|
|
|
===========================================================================
|
|
|
|
*/
|
|
|
|
|
|
|
|
void gpc_free_polygon(gpc_polygon *p)
|
|
|
|
{
|
|
|
|
int c;
|
|
|
|
|
|
|
|
for (c= 0; c < p->num_contours; c++)
|
|
|
|
FREE(p->contour[c].vertex);
|
|
|
|
FREE(p->hole);
|
|
|
|
FREE(p->contour);
|
|
|
|
p->num_contours= 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void gpc_read_polygon(FILE *fp, int read_hole_flags, gpc_polygon *p)
|
|
|
|
{
|
|
|
|
int c, v;
|
|
|
|
|
|
|
|
fscanf(fp, "%d", &(p->num_contours));
|
|
|
|
MALLOC(p->hole, p->num_contours * sizeof(int),
|
|
|
|
"hole flag array creation", int);
|
|
|
|
MALLOC(p->contour, p->num_contours
|
|
|
|
* sizeof(gpc_vertex_list), "contour creation", gpc_vertex_list);
|
|
|
|
for (c= 0; c < p->num_contours; c++)
|
|
|
|
{
|
|
|
|
fscanf(fp, "%d", &(p->contour[c].num_vertices));
|
|
|
|
|
|
|
|
if (read_hole_flags)
|
|
|
|
fscanf(fp, "%d", &(p->hole[c]));
|
|
|
|
else
|
|
|
|
p->hole[c]= FALSE; /* Assume all contours to be external */
|
|
|
|
|
|
|
|
MALLOC(p->contour[c].vertex, p->contour[c].num_vertices
|
|
|
|
* sizeof(gpc_vertex), "vertex creation", gpc_vertex);
|
|
|
|
for (v= 0; v < p->contour[c].num_vertices; v++)
|
|
|
|
fscanf(fp, "%lf %lf", &(p->contour[c].vertex[v].x),
|
|
|
|
&(p->contour[c].vertex[v].y));
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void gpc_write_polygon(FILE *fp, int write_hole_flags, gpc_polygon *p)
|
|
|
|
{
|
|
|
|
int c, v;
|
|
|
|
|
|
|
|
fprintf(fp, "%d\n", p->num_contours);
|
|
|
|
for (c= 0; c < p->num_contours; c++)
|
|
|
|
{
|
|
|
|
fprintf(fp, "%d\n", p->contour[c].num_vertices);
|
|
|
|
|
|
|
|
if (write_hole_flags)
|
|
|
|
fprintf(fp, "%d\n", p->hole[c]);
|
|
|
|
|
|
|
|
for (v= 0; v < p->contour[c].num_vertices; v++)
|
|
|
|
fprintf(fp, "% .*lf % .*lf\n",
|
|
|
|
DBL_DIG, p->contour[c].vertex[v].x,
|
|
|
|
DBL_DIG, p->contour[c].vertex[v].y);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void gpc_add_contour(gpc_polygon *p, gpc_vertex_list *new_contour, int hole)
|
|
|
|
{
|
|
|
|
int *extended_hole, c, v;
|
|
|
|
gpc_vertex_list *extended_contour;
|
|
|
|
|
|
|
|
/* Create an extended hole array */
|
|
|
|
MALLOC(extended_hole, (p->num_contours + 1)
|
|
|
|
* sizeof(int), "contour hole addition", int);
|
|
|
|
|
|
|
|
/* Create an extended contour array */
|
|
|
|
MALLOC(extended_contour, (p->num_contours + 1)
|
|
|
|
* sizeof(gpc_vertex_list), "contour addition", gpc_vertex_list);
|
|
|
|
|
|
|
|
/* Copy the old contour and hole data into the extended arrays */
|
|
|
|
for (c= 0; c < p->num_contours; c++)
|
|
|
|
{
|
|
|
|
extended_hole[c]= p->hole[c];
|
|
|
|
extended_contour[c]= p->contour[c];
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Copy the new contour and hole onto the end of the extended arrays */
|
|
|
|
c= p->num_contours;
|
|
|
|
extended_hole[c]= hole;
|
|
|
|
extended_contour[c].num_vertices= new_contour->num_vertices;
|
|
|
|
MALLOC(extended_contour[c].vertex, new_contour->num_vertices
|
|
|
|
* sizeof(gpc_vertex), "contour addition", gpc_vertex);
|
|
|
|
for (v= 0; v < new_contour->num_vertices; v++)
|
|
|
|
extended_contour[c].vertex[v]= new_contour->vertex[v];
|
|
|
|
|
|
|
|
/* Dispose of the old contour */
|
|
|
|
FREE(p->contour);
|
|
|
|
FREE(p->hole);
|
|
|
|
|
|
|
|
/* Update the polygon information */
|
|
|
|
p->num_contours++;
|
|
|
|
p->hole= extended_hole;
|
|
|
|
p->contour= extended_contour;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void gpc_polygon_clip(gpc_op op, gpc_polygon *subj, gpc_polygon *clip,
|
|
|
|
gpc_polygon *result)
|
|
|
|
{
|
|
|
|
sb_tree *sbtree= NULL;
|
|
|
|
it_node *it= NULL, *intersect;
|
|
|
|
edge_node *edge, *prev_edge, *next_edge, *succ_edge, *e0, *e1;
|
|
|
|
edge_node *aet= NULL, *c_heap= NULL, *s_heap= NULL;
|
|
|
|
lmt_node *lmt= NULL, *local_min;
|
|
|
|
polygon_node *out_poly= NULL, *p, *q, *poly, *npoly, *cf= NULL;
|
|
|
|
vertex_node *vtx, *nv;
|
|
|
|
h_state horiz[2];
|
|
|
|
int in[2], exists[2], parity[2]= {LEFT, LEFT};
|
|
|
|
int c, v, contributing, search, scanbeam= 0, sbt_entries= 0;
|
|
|
|
int vclass, bl, br, tl, tr;
|
|
|
|
double *sbt= NULL, xb, px, yb, yt, dy, ix, iy;
|
|
|
|
|
|
|
|
/* Test for trivial NULL result cases */
|
|
|
|
if (((subj->num_contours == 0) && (clip->num_contours == 0))
|
|
|
|
|| ((subj->num_contours == 0) && ((op == GPC_INT) || (op == GPC_DIFF)))
|
|
|
|
|| ((clip->num_contours == 0) && (op == GPC_INT)))
|
|
|
|
{
|
|
|
|
result->num_contours= 0;
|
|
|
|
result->hole= NULL;
|
|
|
|
result->contour= NULL;
|
|
|
|
return;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Identify potentialy contributing contours */
|
|
|
|
if (((op == GPC_INT) || (op == GPC_DIFF))
|
|
|
|
&& (subj->num_contours > 0) && (clip->num_contours > 0))
|
|
|
|
minimax_test(subj, clip, op);
|
|
|
|
|
|
|
|
/* Build LMT */
|
|
|
|
if (subj->num_contours > 0)
|
|
|
|
s_heap= build_lmt(&lmt, &sbtree, &sbt_entries, subj, SUBJ, op);
|
|
|
|
if (clip->num_contours > 0)
|
|
|
|
c_heap= build_lmt(&lmt, &sbtree, &sbt_entries, clip, CLIP, op);
|
|
|
|
|
|
|
|
/* Return a NULL result if no contours contribute */
|
|
|
|
if (lmt == NULL)
|
|
|
|
{
|
|
|
|
result->num_contours= 0;
|
|
|
|
result->hole= NULL;
|
|
|
|
result->contour= NULL;
|
|
|
|
reset_lmt(&lmt);
|
|
|
|
FREE(s_heap);
|
|
|
|
FREE(c_heap);
|
|
|
|
return;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Build scanbeam table from scanbeam tree */
|
|
|
|
MALLOC(sbt, sbt_entries * sizeof(double), "sbt creation", double);
|
|
|
|
build_sbt(&scanbeam, sbt, sbtree);
|
|
|
|
scanbeam= 0;
|
|
|
|
free_sbtree(&sbtree);
|
|
|
|
|
|
|
|
/* Allow pointer re-use without causing memory leak */
|
|
|
|
if (subj == result)
|
|
|
|
gpc_free_polygon(subj);
|
|
|
|
if (clip == result)
|
|
|
|
gpc_free_polygon(clip);
|
|
|
|
|
|
|
|
/* Invert clip polygon for difference operation */
|
|
|
|
if (op == GPC_DIFF)
|
|
|
|
parity[CLIP]= RIGHT;
|
|
|
|
|
|
|
|
local_min= lmt;
|
|
|
|
|
|
|
|
/* Process each scanbeam */
|
|
|
|
while (scanbeam < sbt_entries)
|
|
|
|
{
|
|
|
|
/* Set yb and yt to the bottom and top of the scanbeam */
|
|
|
|
yb= sbt[scanbeam++];
|
|
|
|
if (scanbeam < sbt_entries)
|
|
|
|
{
|
|
|
|
yt= sbt[scanbeam];
|
|
|
|
dy= yt - yb;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* === SCANBEAM BOUNDARY PROCESSING ================================ */
|
|
|
|
|
|
|
|
/* If LMT node corresponding to yb exists */
|
|
|
|
if (local_min)
|
|
|
|
{
|
|
|
|
if (local_min->y == yb)
|
|
|
|
{
|
|
|
|
/* Add edges starting at this local minimum to the AET */
|
|
|
|
for (edge= local_min->first_bound; edge; edge= edge->next_bound)
|
|
|
|
add_edge_to_aet(&aet, edge, NULL);
|
|
|
|
|
|
|
|
local_min= local_min->next;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Set dummy previous x value */
|
|
|
|
px= -DBL_MAX;
|
|
|
|
|
|
|
|
/* Create bundles within AET */
|
|
|
|
e0= aet;
|
|
|
|
e1= aet;
|
|
|
|
|
|
|
|
/* Set up bundle fields of first edge */
|
|
|
|
aet->bundle[ABOVE][ aet->type]= (aet->top.y != yb);
|
|
|
|
aet->bundle[ABOVE][!aet->type]= FALSE;
|
|
|
|
aet->bstate[ABOVE]= UNBUNDLED;
|
|
|
|
|
|
|
|
for (next_edge= aet->next; next_edge; next_edge= next_edge->next)
|
|
|
|
{
|
|
|
|
/* Set up bundle fields of next edge */
|
|
|
|
next_edge->bundle[ABOVE][ next_edge->type]= (next_edge->top.y != yb);
|
|
|
|
next_edge->bundle[ABOVE][!next_edge->type]= FALSE;
|
|
|
|
next_edge->bstate[ABOVE]= UNBUNDLED;
|
|
|
|
|
|
|
|
/* Bundle edges above the scanbeam boundary if they coincide */
|
|
|
|
if (next_edge->bundle[ABOVE][next_edge->type])
|
|
|
|
{
|
|
|
|
if (EQ(e0->xb, next_edge->xb) && EQ(e0->dx, next_edge->dx)
|
|
|
|
&& (e0->top.y != yb))
|
|
|
|
{
|
|
|
|
next_edge->bundle[ABOVE][ next_edge->type]^=
|
|
|
|
e0->bundle[ABOVE][ next_edge->type];
|
|
|
|
next_edge->bundle[ABOVE][!next_edge->type]=
|
|
|
|
e0->bundle[ABOVE][!next_edge->type];
|
|
|
|
next_edge->bstate[ABOVE]= BUNDLE_HEAD;
|
|
|
|
e0->bundle[ABOVE][CLIP]= FALSE;
|
|
|
|
e0->bundle[ABOVE][SUBJ]= FALSE;
|
|
|
|
e0->bstate[ABOVE]= BUNDLE_TAIL;
|
|
|
|
}
|
|
|
|
e0= next_edge;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
horiz[CLIP]= NH;
|
|
|
|
horiz[SUBJ]= NH;
|
|
|
|
|
|
|
|
/* Process each edge at this scanbeam boundary */
|
|
|
|
for (edge= aet; edge; edge= edge->next)
|
|
|
|
{
|
|
|
|
exists[CLIP]= edge->bundle[ABOVE][CLIP] +
|
|
|
|
(edge->bundle[BELOW][CLIP] << 1);
|
|
|
|
exists[SUBJ]= edge->bundle[ABOVE][SUBJ] +
|
|
|
|
(edge->bundle[BELOW][SUBJ] << 1);
|
|
|
|
|
|
|
|
if (exists[CLIP] || exists[SUBJ])
|
|
|
|
{
|
|
|
|
/* Set bundle side */
|
|
|
|
edge->bside[CLIP]= parity[CLIP];
|
|
|
|
edge->bside[SUBJ]= parity[SUBJ];
|
|
|
|
|
|
|
|
/* Determine contributing status and quadrant occupancies */
|
|
|
|
switch (op)
|
|
|
|
{
|
|
|
|
case GPC_DIFF:
|
|
|
|
case GPC_INT:
|
|
|
|
contributing= (exists[CLIP] && (parity[SUBJ] || horiz[SUBJ]))
|
|
|
|
|| (exists[SUBJ] && (parity[CLIP] || horiz[CLIP]))
|
|
|
|
|| (exists[CLIP] && exists[SUBJ]
|
|
|
|
&& (parity[CLIP] == parity[SUBJ]));
|
|
|
|
br= (parity[CLIP])
|
|
|
|
&& (parity[SUBJ]);
|
|
|
|
bl= (parity[CLIP] ^ edge->bundle[ABOVE][CLIP])
|
|
|
|
&& (parity[SUBJ] ^ edge->bundle[ABOVE][SUBJ]);
|
|
|
|
tr= (parity[CLIP] ^ (horiz[CLIP]!=NH))
|
|
|
|
&& (parity[SUBJ] ^ (horiz[SUBJ]!=NH));
|
|
|
|
tl= (parity[CLIP] ^ (horiz[CLIP]!=NH) ^ edge->bundle[BELOW][CLIP])
|
|
|
|
&& (parity[SUBJ] ^ (horiz[SUBJ]!=NH) ^ edge->bundle[BELOW][SUBJ]);
|
|
|
|
break;
|
|
|
|
case GPC_XOR:
|
|
|
|
contributing= exists[CLIP] || exists[SUBJ];
|
|
|
|
br= (parity[CLIP])
|
|
|
|
^ (parity[SUBJ]);
|
|
|
|
bl= (parity[CLIP] ^ edge->bundle[ABOVE][CLIP])
|
|
|
|
^ (parity[SUBJ] ^ edge->bundle[ABOVE][SUBJ]);
|
|
|
|
tr= (parity[CLIP] ^ (horiz[CLIP]!=NH))
|
|
|
|
^ (parity[SUBJ] ^ (horiz[SUBJ]!=NH));
|
|
|
|
tl= (parity[CLIP] ^ (horiz[CLIP]!=NH) ^ edge->bundle[BELOW][CLIP])
|
|
|
|
^ (parity[SUBJ] ^ (horiz[SUBJ]!=NH) ^ edge->bundle[BELOW][SUBJ]);
|
|
|
|
break;
|
|
|
|
case GPC_UNION:
|
|
|
|
contributing= (exists[CLIP] && (!parity[SUBJ] || horiz[SUBJ]))
|
|
|
|
|| (exists[SUBJ] && (!parity[CLIP] || horiz[CLIP]))
|
|
|
|
|| (exists[CLIP] && exists[SUBJ]
|
|
|
|
&& (parity[CLIP] == parity[SUBJ]));
|
|
|
|
br= (parity[CLIP])
|
|
|
|
|| (parity[SUBJ]);
|
|
|
|
bl= (parity[CLIP] ^ edge->bundle[ABOVE][CLIP])
|
|
|
|
|| (parity[SUBJ] ^ edge->bundle[ABOVE][SUBJ]);
|
|
|
|
tr= (parity[CLIP] ^ (horiz[CLIP]!=NH))
|
|
|
|
|| (parity[SUBJ] ^ (horiz[SUBJ]!=NH));
|
|
|
|
tl= (parity[CLIP] ^ (horiz[CLIP]!=NH) ^ edge->bundle[BELOW][CLIP])
|
|
|
|
|| (parity[SUBJ] ^ (horiz[SUBJ]!=NH) ^ edge->bundle[BELOW][SUBJ]);
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Update parity */
|
|
|
|
parity[CLIP]^= edge->bundle[ABOVE][CLIP];
|
|
|
|
parity[SUBJ]^= edge->bundle[ABOVE][SUBJ];
|
|
|
|
|
|
|
|
/* Update horizontal state */
|
|
|
|
if (exists[CLIP])
|
|
|
|
horiz[CLIP]=
|
|
|
|
next_h_state[horiz[CLIP]]
|
|
|
|
[((exists[CLIP] - 1) << 1) + parity[CLIP]];
|
|
|
|
if (exists[SUBJ])
|
|
|
|
horiz[SUBJ]=
|
|
|
|
next_h_state[horiz[SUBJ]]
|
|
|
|
[((exists[SUBJ] - 1) << 1) + parity[SUBJ]];
|
|
|
|
|
|
|
|
vclass= tr + (tl << 1) + (br << 2) + (bl << 3);
|
|
|
|
|
|
|
|
if (contributing)
|
|
|
|
{
|
|
|
|
xb= edge->xb;
|
|
|
|
|
|
|
|
switch (vclass)
|
|
|
|
{
|
|
|
|
case EMN:
|
|
|
|
case IMN:
|
|
|
|
add_local_min(&out_poly, edge, xb, yb);
|
|
|
|
px= xb;
|
|
|
|
cf= edge->outp[ABOVE];
|
|
|
|
break;
|
|
|
|
case ERI:
|
|
|
|
if (xb != px)
|
|
|
|
{
|
|
|
|
add_right(cf, xb, yb);
|
|
|
|
px= xb;
|
|
|
|
}
|
|
|
|
edge->outp[ABOVE]= cf;
|
|
|
|
cf= NULL;
|
|
|
|
break;
|
|
|
|
case ELI:
|
|
|
|
add_left(edge->outp[BELOW], xb, yb);
|
|
|
|
px= xb;
|
|
|
|
cf= edge->outp[BELOW];
|
|
|
|
break;
|
|
|
|
case EMX:
|
|
|
|
if (xb != px)
|
|
|
|
{
|
|
|
|
add_left(cf, xb, yb);
|
|
|
|
px= xb;
|
|
|
|
}
|
|
|
|
merge_right(cf, edge->outp[BELOW], out_poly);
|
|
|
|
cf= NULL;
|
|
|
|
break;
|
|
|
|
case ILI:
|
|
|
|
if (xb != px)
|
|
|
|
{
|
|
|
|
add_left(cf, xb, yb);
|
|
|
|
px= xb;
|
|
|
|
}
|
|
|
|
edge->outp[ABOVE]= cf;
|
|
|
|
cf= NULL;
|
|
|
|
break;
|
|
|
|
case IRI:
|
|
|
|
add_right(edge->outp[BELOW], xb, yb);
|
|
|
|
px= xb;
|
|
|
|
cf= edge->outp[BELOW];
|
|
|
|
edge->outp[BELOW]= NULL;
|
|
|
|
break;
|
|
|
|
case IMX:
|
|
|
|
if (xb != px)
|
|
|
|
{
|
|
|
|
add_right(cf, xb, yb);
|
|
|
|
px= xb;
|
|
|
|
}
|
|
|
|
merge_left(cf, edge->outp[BELOW], out_poly);
|
|
|
|
cf= NULL;
|
|
|
|
edge->outp[BELOW]= NULL;
|
|
|
|
break;
|
|
|
|
case IMM:
|
|
|
|
if (xb != px)
|
|
|
|
{
|
|
|
|
add_right(cf, xb, yb);
|
|
|
|
px= xb;
|
|
|
|
}
|
|
|
|
merge_left(cf, edge->outp[BELOW], out_poly);
|
|
|
|
edge->outp[BELOW]= NULL;
|
|
|
|
add_local_min(&out_poly, edge, xb, yb);
|
|
|
|
cf= edge->outp[ABOVE];
|
|
|
|
break;
|
|
|
|
case EMM:
|
|
|
|
if (xb != px)
|
|
|
|
{
|
|
|
|
add_left(cf, xb, yb);
|
|
|
|
px= xb;
|
|
|
|
}
|
|
|
|
merge_right(cf, edge->outp[BELOW], out_poly);
|
|
|
|
edge->outp[BELOW]= NULL;
|
|
|
|
add_local_min(&out_poly, edge, xb, yb);
|
|
|
|
cf= edge->outp[ABOVE];
|
|
|
|
break;
|
|
|
|
case LED:
|
|
|
|
if (edge->bot.y == yb)
|
|
|
|
add_left(edge->outp[BELOW], xb, yb);
|
|
|
|
edge->outp[ABOVE]= edge->outp[BELOW];
|
|
|
|
px= xb;
|
|
|
|
break;
|
|
|
|
case RED:
|
|
|
|
if (edge->bot.y == yb)
|
|
|
|
add_right(edge->outp[BELOW], xb, yb);
|
|
|
|
edge->outp[ABOVE]= edge->outp[BELOW];
|
|
|
|
px= xb;
|
|
|
|
break;
|
|
|
|
default:
|
|
|
|
break;
|
|
|
|
} /* End of switch */
|
|
|
|
} /* End of contributing conditional */
|
|
|
|
} /* End of edge exists conditional */
|
|
|
|
} /* End of AET loop */
|
|
|
|
|
|
|
|
/* Delete terminating edges from the AET, otherwise compute xt */
|
|
|
|
for (edge= aet; edge; edge= edge->next)
|
|
|
|
{
|
|
|
|
if (edge->top.y == yb)
|
|
|
|
{
|
|
|
|
prev_edge= edge->prev;
|
|
|
|
next_edge= edge->next;
|
|
|
|
if (prev_edge)
|
|
|
|
prev_edge->next= next_edge;
|
|
|
|
else
|
|
|
|
aet= next_edge;
|
|
|
|
if (next_edge)
|
|
|
|
next_edge->prev= prev_edge;
|
|
|
|
|
|
|
|
/* Copy bundle head state to the adjacent tail edge if required */
|
|
|
|
if ((edge->bstate[BELOW] == BUNDLE_HEAD) && prev_edge)
|
|
|
|
{
|
|
|
|
if (prev_edge->bstate[BELOW] == BUNDLE_TAIL)
|
|
|
|
{
|
|
|
|
prev_edge->outp[BELOW]= edge->outp[BELOW];
|
|
|
|
prev_edge->bstate[BELOW]= UNBUNDLED;
|
|
|
|
if (prev_edge->prev)
|
|
|
|
if (prev_edge->prev->bstate[BELOW] == BUNDLE_TAIL)
|
|
|
|
prev_edge->bstate[BELOW]= BUNDLE_HEAD;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
if (edge->top.y == yt)
|
|
|
|
edge->xt= edge->top.x;
|
|
|
|
else
|
|
|
|
edge->xt= edge->bot.x + edge->dx * (yt - edge->bot.y);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
if (scanbeam < sbt_entries)
|
|
|
|
{
|
|
|
|
/* === SCANBEAM INTERIOR PROCESSING ============================== */
|
|
|
|
|
|
|
|
build_intersection_table(&it, aet, dy);
|
|
|
|
|
|
|
|
/* Process each node in the intersection table */
|
|
|
|
for (intersect= it; intersect; intersect= intersect->next)
|
|
|
|
{
|
|
|
|
e0= intersect->ie[0];
|
|
|
|
e1= intersect->ie[1];
|
|
|
|
|
|
|
|
/* Only generate output for contributing intersections */
|
|
|
|
if ((e0->bundle[ABOVE][CLIP] || e0->bundle[ABOVE][SUBJ])
|
|
|
|
&& (e1->bundle[ABOVE][CLIP] || e1->bundle[ABOVE][SUBJ]))
|
|
|
|
{
|
|
|
|
p= e0->outp[ABOVE];
|
|
|
|
q= e1->outp[ABOVE];
|
|
|
|
ix= intersect->point.x;
|
|
|
|
iy= intersect->point.y + yb;
|
|
|
|
|
|
|
|
in[CLIP]= ( e0->bundle[ABOVE][CLIP] && !e0->bside[CLIP])
|
|
|
|
|| ( e1->bundle[ABOVE][CLIP] && e1->bside[CLIP])
|
|
|
|
|| (!e0->bundle[ABOVE][CLIP] && !e1->bundle[ABOVE][CLIP]
|
|
|
|
&& e0->bside[CLIP] && e1->bside[CLIP]);
|
|
|
|
in[SUBJ]= ( e0->bundle[ABOVE][SUBJ] && !e0->bside[SUBJ])
|
|
|
|
|| ( e1->bundle[ABOVE][SUBJ] && e1->bside[SUBJ])
|
|
|
|
|| (!e0->bundle[ABOVE][SUBJ] && !e1->bundle[ABOVE][SUBJ]
|
|
|
|
&& e0->bside[SUBJ] && e1->bside[SUBJ]);
|
|
|
|
|
|
|
|
/* Determine quadrant occupancies */
|
|
|
|
switch (op)
|
|
|
|
{
|
|
|
|
case GPC_DIFF:
|
|
|
|
case GPC_INT:
|
|
|
|
tr= (in[CLIP])
|
|
|
|
&& (in[SUBJ]);
|
|
|
|
tl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP])
|
|
|
|
&& (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ]);
|
|
|
|
br= (in[CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
&& (in[SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
bl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
&& (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
break;
|
|
|
|
case GPC_XOR:
|
|
|
|
tr= (in[CLIP])
|
|
|
|
^ (in[SUBJ]);
|
|
|
|
tl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP])
|
|
|
|
^ (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ]);
|
|
|
|
br= (in[CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
^ (in[SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
bl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
^ (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
break;
|
|
|
|
case GPC_UNION:
|
|
|
|
tr= (in[CLIP])
|
|
|
|
|| (in[SUBJ]);
|
|
|
|
tl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP])
|
|
|
|
|| (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ]);
|
|
|
|
br= (in[CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
|| (in[SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
bl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
|| (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
|
|
|
|
vclass= tr + (tl << 1) + (br << 2) + (bl << 3);
|
|
|
|
|
|
|
|
switch (vclass)
|
|
|
|
{
|
|
|
|
case EMN:
|
|
|
|
add_local_min(&out_poly, e0, ix, iy);
|
|
|
|
e1->outp[ABOVE]= e0->outp[ABOVE];
|
|
|
|
break;
|
|
|
|
case ERI:
|
|
|
|
if (p)
|
|
|
|
{
|
|
|
|
add_right(p, ix, iy);
|
|
|
|
e1->outp[ABOVE]= p;
|
|
|
|
e0->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case ELI:
|
|
|
|
if (q)
|
|
|
|
{
|
|
|
|
add_left(q, ix, iy);
|
|
|
|
e0->outp[ABOVE]= q;
|
|
|
|
e1->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case EMX:
|
|
|
|
if (p && q)
|
|
|
|
{
|
|
|
|
add_left(p, ix, iy);
|
|
|
|
merge_right(p, q, out_poly);
|
|
|
|
e0->outp[ABOVE]= NULL;
|
|
|
|
e1->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case IMN:
|
|
|
|
add_local_min(&out_poly, e0, ix, iy);
|
|
|
|
e1->outp[ABOVE]= e0->outp[ABOVE];
|
|
|
|
break;
|
|
|
|
case ILI:
|
|
|
|
if (p)
|
|
|
|
{
|
|
|
|
add_left(p, ix, iy);
|
|
|
|
e1->outp[ABOVE]= p;
|
|
|
|
e0->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case IRI:
|
|
|
|
if (q)
|
|
|
|
{
|
|
|
|
add_right(q, ix, iy);
|
|
|
|
e0->outp[ABOVE]= q;
|
|
|
|
e1->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case IMX:
|
|
|
|
if (p && q)
|
|
|
|
{
|
|
|
|
add_right(p, ix, iy);
|
|
|
|
merge_left(p, q, out_poly);
|
|
|
|
e0->outp[ABOVE]= NULL;
|
|
|
|
e1->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case IMM:
|
|
|
|
if (p && q)
|
|
|
|
{
|
|
|
|
add_right(p, ix, iy);
|
|
|
|
merge_left(p, q, out_poly);
|
|
|
|
add_local_min(&out_poly, e0, ix, iy);
|
|
|
|
e1->outp[ABOVE]= e0->outp[ABOVE];
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case EMM:
|
|
|
|
if (p && q)
|
|
|
|
{
|
|
|
|
add_left(p, ix, iy);
|
|
|
|
merge_right(p, q, out_poly);
|
|
|
|
add_local_min(&out_poly, e0, ix, iy);
|
|
|
|
e1->outp[ABOVE]= e0->outp[ABOVE];
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
default:
|
|
|
|
break;
|
|
|
|
} /* End of switch */
|
|
|
|
} /* End of contributing intersection conditional */
|
|
|
|
|
|
|
|
/* Swap bundle sides in response to edge crossing */
|
|
|
|
if (e0->bundle[ABOVE][CLIP])
|
|
|
|
e1->bside[CLIP]= !e1->bside[CLIP];
|
|
|
|
if (e1->bundle[ABOVE][CLIP])
|
|
|
|
e0->bside[CLIP]= !e0->bside[CLIP];
|
|
|
|
if (e0->bundle[ABOVE][SUBJ])
|
|
|
|
e1->bside[SUBJ]= !e1->bside[SUBJ];
|
|
|
|
if (e1->bundle[ABOVE][SUBJ])
|
|
|
|
e0->bside[SUBJ]= !e0->bside[SUBJ];
|
|
|
|
|
|
|
|
/* Swap e0 and e1 bundles in the AET */
|
|
|
|
prev_edge= e0->prev;
|
|
|
|
next_edge= e1->next;
|
|
|
|
if (next_edge)
|
|
|
|
next_edge->prev= e0;
|
|
|
|
|
|
|
|
if (e0->bstate[ABOVE] == BUNDLE_HEAD)
|
|
|
|
{
|
|
|
|
search= TRUE;
|
|
|
|
while (search)
|
|
|
|
{
|
|
|
|
prev_edge= prev_edge->prev;
|
|
|
|
if (prev_edge)
|
|
|
|
{
|
|
|
|
if (prev_edge->bstate[ABOVE] != BUNDLE_TAIL)
|
|
|
|
search= FALSE;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
search= FALSE;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if (!prev_edge)
|
|
|
|
{
|
|
|
|
aet->prev= e1;
|
|
|
|
e1->next= aet;
|
|
|
|
aet= e0->next;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
prev_edge->next->prev= e1;
|
|
|
|
e1->next= prev_edge->next;
|
|
|
|
prev_edge->next= e0->next;
|
|
|
|
}
|
|
|
|
e0->next->prev= prev_edge;
|
|
|
|
e1->next->prev= e1;
|
|
|
|
e0->next= next_edge;
|
|
|
|
} /* End of IT loop*/
|
|
|
|
|
|
|
|
/* Prepare for next scanbeam */
|
|
|
|
for (edge= aet; edge; edge= next_edge)
|
|
|
|
{
|
|
|
|
next_edge= edge->next;
|
|
|
|
succ_edge= edge->succ;
|
|
|
|
|
|
|
|
if ((edge->top.y == yt) && succ_edge)
|
|
|
|
{
|
|
|
|
/* Replace AET edge by its successor */
|
|
|
|
succ_edge->outp[BELOW]= edge->outp[ABOVE];
|
|
|
|
succ_edge->bstate[BELOW]= edge->bstate[ABOVE];
|
|
|
|
succ_edge->bundle[BELOW][CLIP]= edge->bundle[ABOVE][CLIP];
|
|
|
|
succ_edge->bundle[BELOW][SUBJ]= edge->bundle[ABOVE][SUBJ];
|
|
|
|
prev_edge= edge->prev;
|
|
|
|
if (prev_edge)
|
|
|
|
prev_edge->next= succ_edge;
|
|
|
|
else
|
|
|
|
aet= succ_edge;
|
|
|
|
if (next_edge)
|
|
|
|
next_edge->prev= succ_edge;
|
|
|
|
succ_edge->prev= prev_edge;
|
|
|
|
succ_edge->next= next_edge;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
/* Update this edge */
|
|
|
|
edge->outp[BELOW]= edge->outp[ABOVE];
|
|
|
|
edge->bstate[BELOW]= edge->bstate[ABOVE];
|
|
|
|
edge->bundle[BELOW][CLIP]= edge->bundle[ABOVE][CLIP];
|
|
|
|
edge->bundle[BELOW][SUBJ]= edge->bundle[ABOVE][SUBJ];
|
|
|
|
edge->xb= edge->xt;
|
|
|
|
}
|
|
|
|
edge->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
} /* === END OF SCANBEAM PROCESSING ================================== */
|
|
|
|
|
|
|
|
/* Generate result polygon from out_poly */
|
|
|
|
result->contour= NULL;
|
|
|
|
result->hole= NULL;
|
|
|
|
result->num_contours= count_contours(out_poly);
|
|
|
|
if (result->num_contours > 0)
|
|
|
|
{
|
|
|
|
MALLOC(result->hole, result->num_contours
|
|
|
|
* sizeof(int), "hole flag table creation", int);
|
|
|
|
MALLOC(result->contour, result->num_contours
|
|
|
|
* sizeof(gpc_vertex_list), "contour creation", gpc_vertex_list);
|
|
|
|
|
|
|
|
c= 0;
|
|
|
|
for (poly= out_poly; poly; poly= npoly)
|
|
|
|
{
|
|
|
|
npoly= poly->next;
|
|
|
|
if (poly->active)
|
|
|
|
{
|
|
|
|
result->hole[c]= poly->proxy->hole;
|
|
|
|
result->contour[c].num_vertices= poly->active;
|
|
|
|
MALLOC(result->contour[c].vertex,
|
|
|
|
result->contour[c].num_vertices * sizeof(gpc_vertex),
|
|
|
|
"vertex creation", gpc_vertex);
|
|
|
|
|
|
|
|
v= result->contour[c].num_vertices - 1;
|
|
|
|
for (vtx= poly->proxy->v[LEFT]; vtx; vtx= nv)
|
|
|
|
{
|
|
|
|
nv= vtx->next;
|
|
|
|
result->contour[c].vertex[v].x= vtx->x;
|
|
|
|
result->contour[c].vertex[v].y= vtx->y;
|
|
|
|
FREE(vtx);
|
|
|
|
v--;
|
|
|
|
}
|
|
|
|
c++;
|
|
|
|
}
|
|
|
|
FREE(poly);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
for (poly= out_poly; poly; poly= npoly)
|
|
|
|
{
|
|
|
|
npoly= poly->next;
|
|
|
|
FREE(poly);
|
|
|
|
}
|
2007-12-08 18:19:48 +00:00
|
|
|
}
|
2007-12-08 17:49:55 +00:00
|
|
|
|
|
|
|
/* Tidy up */
|
|
|
|
reset_it(&it);
|
|
|
|
reset_lmt(&lmt);
|
|
|
|
FREE(c_heap);
|
|
|
|
FREE(s_heap);
|
|
|
|
FREE(sbt);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void gpc_free_tristrip(gpc_tristrip *t)
|
|
|
|
{
|
|
|
|
int s;
|
|
|
|
|
|
|
|
for (s= 0; s < t->num_strips; s++)
|
|
|
|
FREE(t->strip[s].vertex);
|
|
|
|
FREE(t->strip);
|
|
|
|
t->num_strips= 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void gpc_polygon_to_tristrip(gpc_polygon *s, gpc_tristrip *t)
|
|
|
|
{
|
|
|
|
gpc_polygon c;
|
|
|
|
|
|
|
|
c.num_contours= 0;
|
|
|
|
c.hole= NULL;
|
|
|
|
c.contour= NULL;
|
|
|
|
gpc_tristrip_clip(GPC_DIFF, s, &c, t);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void gpc_tristrip_clip(gpc_op op, gpc_polygon *subj, gpc_polygon *clip,
|
|
|
|
gpc_tristrip *result)
|
|
|
|
{
|
|
|
|
sb_tree *sbtree= NULL;
|
|
|
|
it_node *it= NULL, *intersect;
|
|
|
|
edge_node *edge, *prev_edge, *next_edge, *succ_edge, *e0, *e1;
|
|
|
|
edge_node *aet= NULL, *c_heap= NULL, *s_heap= NULL, *cf;
|
|
|
|
lmt_node *lmt= NULL, *local_min;
|
|
|
|
polygon_node *tlist= NULL, *tn, *tnn, *p, *q;
|
|
|
|
vertex_node *lt, *ltn, *rt, *rtn;
|
|
|
|
h_state horiz[2];
|
|
|
|
vertex_type cft;
|
|
|
|
int in[2], exists[2], parity[2]= {LEFT, LEFT};
|
|
|
|
int s, v, contributing, search, scanbeam= 0, sbt_entries= 0;
|
|
|
|
int vclass, bl, br, tl, tr;
|
|
|
|
double *sbt= NULL, xb, px, nx, yb, yt, dy, ix, iy;
|
|
|
|
|
|
|
|
/* Test for trivial NULL result cases */
|
|
|
|
if (((subj->num_contours == 0) && (clip->num_contours == 0))
|
|
|
|
|| ((subj->num_contours == 0) && ((op == GPC_INT) || (op == GPC_DIFF)))
|
|
|
|
|| ((clip->num_contours == 0) && (op == GPC_INT)))
|
|
|
|
{
|
|
|
|
result->num_strips= 0;
|
|
|
|
result->strip= NULL;
|
|
|
|
return;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Identify potentialy contributing contours */
|
|
|
|
if (((op == GPC_INT) || (op == GPC_DIFF))
|
|
|
|
&& (subj->num_contours > 0) && (clip->num_contours > 0))
|
|
|
|
minimax_test(subj, clip, op);
|
|
|
|
|
|
|
|
/* Build LMT */
|
|
|
|
if (subj->num_contours > 0)
|
|
|
|
s_heap= build_lmt(&lmt, &sbtree, &sbt_entries, subj, SUBJ, op);
|
|
|
|
if (clip->num_contours > 0)
|
|
|
|
c_heap= build_lmt(&lmt, &sbtree, &sbt_entries, clip, CLIP, op);
|
|
|
|
|
|
|
|
/* Return a NULL result if no contours contribute */
|
|
|
|
if (lmt == NULL)
|
|
|
|
{
|
|
|
|
result->num_strips= 0;
|
|
|
|
result->strip= NULL;
|
|
|
|
reset_lmt(&lmt);
|
|
|
|
FREE(s_heap);
|
|
|
|
FREE(c_heap);
|
|
|
|
return;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Build scanbeam table from scanbeam tree */
|
|
|
|
MALLOC(sbt, sbt_entries * sizeof(double), "sbt creation", double);
|
|
|
|
build_sbt(&scanbeam, sbt, sbtree);
|
|
|
|
scanbeam= 0;
|
|
|
|
free_sbtree(&sbtree);
|
|
|
|
|
|
|
|
/* Invert clip polygon for difference operation */
|
|
|
|
if (op == GPC_DIFF)
|
|
|
|
parity[CLIP]= RIGHT;
|
|
|
|
|
|
|
|
local_min= lmt;
|
|
|
|
|
|
|
|
/* Process each scanbeam */
|
|
|
|
while (scanbeam < sbt_entries)
|
|
|
|
{
|
|
|
|
/* Set yb and yt to the bottom and top of the scanbeam */
|
|
|
|
yb= sbt[scanbeam++];
|
|
|
|
if (scanbeam < sbt_entries)
|
|
|
|
{
|
|
|
|
yt= sbt[scanbeam];
|
|
|
|
dy= yt - yb;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* === SCANBEAM BOUNDARY PROCESSING ================================ */
|
|
|
|
|
|
|
|
/* If LMT node corresponding to yb exists */
|
|
|
|
if (local_min)
|
|
|
|
{
|
|
|
|
if (local_min->y == yb)
|
|
|
|
{
|
|
|
|
/* Add edges starting at this local minimum to the AET */
|
|
|
|
for (edge= local_min->first_bound; edge; edge= edge->next_bound)
|
|
|
|
add_edge_to_aet(&aet, edge, NULL);
|
|
|
|
|
|
|
|
local_min= local_min->next;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Set dummy previous x value */
|
|
|
|
px= -DBL_MAX;
|
|
|
|
|
|
|
|
/* Create bundles within AET */
|
|
|
|
e0= aet;
|
|
|
|
e1= aet;
|
|
|
|
|
|
|
|
/* Set up bundle fields of first edge */
|
|
|
|
aet->bundle[ABOVE][ aet->type]= (aet->top.y != yb);
|
|
|
|
aet->bundle[ABOVE][!aet->type]= FALSE;
|
|
|
|
aet->bstate[ABOVE]= UNBUNDLED;
|
|
|
|
|
|
|
|
for (next_edge= aet->next; next_edge; next_edge= next_edge->next)
|
|
|
|
{
|
|
|
|
/* Set up bundle fields of next edge */
|
|
|
|
next_edge->bundle[ABOVE][ next_edge->type]= (next_edge->top.y != yb);
|
|
|
|
next_edge->bundle[ABOVE][!next_edge->type]= FALSE;
|
|
|
|
next_edge->bstate[ABOVE]= UNBUNDLED;
|
|
|
|
|
|
|
|
/* Bundle edges above the scanbeam boundary if they coincide */
|
|
|
|
if (next_edge->bundle[ABOVE][next_edge->type])
|
|
|
|
{
|
|
|
|
if (EQ(e0->xb, next_edge->xb) && EQ(e0->dx, next_edge->dx)
|
|
|
|
&& (e0->top.y != yb))
|
|
|
|
{
|
|
|
|
next_edge->bundle[ABOVE][ next_edge->type]^=
|
|
|
|
e0->bundle[ABOVE][ next_edge->type];
|
|
|
|
next_edge->bundle[ABOVE][!next_edge->type]=
|
|
|
|
e0->bundle[ABOVE][!next_edge->type];
|
|
|
|
next_edge->bstate[ABOVE]= BUNDLE_HEAD;
|
|
|
|
e0->bundle[ABOVE][CLIP]= FALSE;
|
|
|
|
e0->bundle[ABOVE][SUBJ]= FALSE;
|
|
|
|
e0->bstate[ABOVE]= BUNDLE_TAIL;
|
|
|
|
}
|
|
|
|
e0= next_edge;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
horiz[CLIP]= NH;
|
|
|
|
horiz[SUBJ]= NH;
|
|
|
|
|
|
|
|
/* Process each edge at this scanbeam boundary */
|
|
|
|
for (edge= aet; edge; edge= edge->next)
|
|
|
|
{
|
|
|
|
exists[CLIP]= edge->bundle[ABOVE][CLIP] +
|
|
|
|
(edge->bundle[BELOW][CLIP] << 1);
|
|
|
|
exists[SUBJ]= edge->bundle[ABOVE][SUBJ] +
|
|
|
|
(edge->bundle[BELOW][SUBJ] << 1);
|
|
|
|
|
|
|
|
if (exists[CLIP] || exists[SUBJ])
|
|
|
|
{
|
|
|
|
/* Set bundle side */
|
|
|
|
edge->bside[CLIP]= parity[CLIP];
|
|
|
|
edge->bside[SUBJ]= parity[SUBJ];
|
|
|
|
|
|
|
|
/* Determine contributing status and quadrant occupancies */
|
|
|
|
switch (op)
|
|
|
|
{
|
|
|
|
case GPC_DIFF:
|
|
|
|
case GPC_INT:
|
|
|
|
contributing= (exists[CLIP] && (parity[SUBJ] || horiz[SUBJ]))
|
|
|
|
|| (exists[SUBJ] && (parity[CLIP] || horiz[CLIP]))
|
|
|
|
|| (exists[CLIP] && exists[SUBJ]
|
|
|
|
&& (parity[CLIP] == parity[SUBJ]));
|
|
|
|
br= (parity[CLIP])
|
|
|
|
&& (parity[SUBJ]);
|
|
|
|
bl= (parity[CLIP] ^ edge->bundle[ABOVE][CLIP])
|
|
|
|
&& (parity[SUBJ] ^ edge->bundle[ABOVE][SUBJ]);
|
|
|
|
tr= (parity[CLIP] ^ (horiz[CLIP]!=NH))
|
|
|
|
&& (parity[SUBJ] ^ (horiz[SUBJ]!=NH));
|
|
|
|
tl= (parity[CLIP] ^ (horiz[CLIP]!=NH) ^ edge->bundle[BELOW][CLIP])
|
|
|
|
&& (parity[SUBJ] ^ (horiz[SUBJ]!=NH) ^ edge->bundle[BELOW][SUBJ]);
|
|
|
|
break;
|
|
|
|
case GPC_XOR:
|
|
|
|
contributing= exists[CLIP] || exists[SUBJ];
|
|
|
|
br= (parity[CLIP])
|
|
|
|
^ (parity[SUBJ]);
|
|
|
|
bl= (parity[CLIP] ^ edge->bundle[ABOVE][CLIP])
|
|
|
|
^ (parity[SUBJ] ^ edge->bundle[ABOVE][SUBJ]);
|
|
|
|
tr= (parity[CLIP] ^ (horiz[CLIP]!=NH))
|
|
|
|
^ (parity[SUBJ] ^ (horiz[SUBJ]!=NH));
|
|
|
|
tl= (parity[CLIP] ^ (horiz[CLIP]!=NH) ^ edge->bundle[BELOW][CLIP])
|
|
|
|
^ (parity[SUBJ] ^ (horiz[SUBJ]!=NH) ^ edge->bundle[BELOW][SUBJ]);
|
|
|
|
break;
|
|
|
|
case GPC_UNION:
|
|
|
|
contributing= (exists[CLIP] && (!parity[SUBJ] || horiz[SUBJ]))
|
|
|
|
|| (exists[SUBJ] && (!parity[CLIP] || horiz[CLIP]))
|
|
|
|
|| (exists[CLIP] && exists[SUBJ]
|
|
|
|
&& (parity[CLIP] == parity[SUBJ]));
|
|
|
|
br= (parity[CLIP])
|
|
|
|
|| (parity[SUBJ]);
|
|
|
|
bl= (parity[CLIP] ^ edge->bundle[ABOVE][CLIP])
|
|
|
|
|| (parity[SUBJ] ^ edge->bundle[ABOVE][SUBJ]);
|
|
|
|
tr= (parity[CLIP] ^ (horiz[CLIP]!=NH))
|
|
|
|
|| (parity[SUBJ] ^ (horiz[SUBJ]!=NH));
|
|
|
|
tl= (parity[CLIP] ^ (horiz[CLIP]!=NH) ^ edge->bundle[BELOW][CLIP])
|
|
|
|
|| (parity[SUBJ] ^ (horiz[SUBJ]!=NH) ^ edge->bundle[BELOW][SUBJ]);
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Update parity */
|
|
|
|
parity[CLIP]^= edge->bundle[ABOVE][CLIP];
|
|
|
|
parity[SUBJ]^= edge->bundle[ABOVE][SUBJ];
|
|
|
|
|
|
|
|
/* Update horizontal state */
|
|
|
|
if (exists[CLIP])
|
|
|
|
horiz[CLIP]=
|
|
|
|
next_h_state[horiz[CLIP]]
|
|
|
|
[((exists[CLIP] - 1) << 1) + parity[CLIP]];
|
|
|
|
if (exists[SUBJ])
|
|
|
|
horiz[SUBJ]=
|
|
|
|
next_h_state[horiz[SUBJ]]
|
|
|
|
[((exists[SUBJ] - 1) << 1) + parity[SUBJ]];
|
|
|
|
|
|
|
|
vclass= tr + (tl << 1) + (br << 2) + (bl << 3);
|
|
|
|
|
|
|
|
if (contributing)
|
|
|
|
{
|
|
|
|
xb= edge->xb;
|
|
|
|
|
|
|
|
switch (vclass)
|
|
|
|
{
|
|
|
|
case EMN:
|
|
|
|
new_tristrip(&tlist, edge, xb, yb);
|
|
|
|
cf= edge;
|
|
|
|
break;
|
|
|
|
case ERI:
|
|
|
|
edge->outp[ABOVE]= cf->outp[ABOVE];
|
|
|
|
if (xb != cf->xb)
|
|
|
|
VERTEX(edge, ABOVE, RIGHT, xb, yb);
|
|
|
|
cf= NULL;
|
|
|
|
break;
|
|
|
|
case ELI:
|
|
|
|
VERTEX(edge, BELOW, LEFT, xb, yb);
|
|
|
|
edge->outp[ABOVE]= NULL;
|
|
|
|
cf= edge;
|
|
|
|
break;
|
|
|
|
case EMX:
|
|
|
|
if (xb != cf->xb)
|
|
|
|
VERTEX(edge, BELOW, RIGHT, xb, yb);
|
|
|
|
edge->outp[ABOVE]= NULL;
|
|
|
|
cf= NULL;
|
|
|
|
break;
|
|
|
|
case IMN:
|
|
|
|
if (cft == LED)
|
|
|
|
{
|
|
|
|
if (cf->bot.y != yb)
|
|
|
|
VERTEX(cf, BELOW, LEFT, cf->xb, yb);
|
|
|
|
new_tristrip(&tlist, cf, cf->xb, yb);
|
|
|
|
}
|
|
|
|
edge->outp[ABOVE]= cf->outp[ABOVE];
|
|
|
|
VERTEX(edge, ABOVE, RIGHT, xb, yb);
|
|
|
|
break;
|
|
|
|
case ILI:
|
|
|
|
new_tristrip(&tlist, edge, xb, yb);
|
|
|
|
cf= edge;
|
|
|
|
cft= ILI;
|
|
|
|
break;
|
|
|
|
case IRI:
|
|
|
|
if (cft == LED)
|
|
|
|
{
|
|
|
|
if (cf->bot.y != yb)
|
|
|
|
VERTEX(cf, BELOW, LEFT, cf->xb, yb);
|
|
|
|
new_tristrip(&tlist, cf, cf->xb, yb);
|
|
|
|
}
|
|
|
|
VERTEX(edge, BELOW, RIGHT, xb, yb);
|
|
|
|
edge->outp[ABOVE]= NULL;
|
|
|
|
break;
|
|
|
|
case IMX:
|
|
|
|
VERTEX(edge, BELOW, LEFT, xb, yb);
|
|
|
|
edge->outp[ABOVE]= NULL;
|
|
|
|
cft= IMX;
|
|
|
|
break;
|
|
|
|
case IMM:
|
|
|
|
VERTEX(edge, BELOW, LEFT, xb, yb);
|
|
|
|
edge->outp[ABOVE]= cf->outp[ABOVE];
|
|
|
|
if (xb != cf->xb)
|
|
|
|
VERTEX(cf, ABOVE, RIGHT, xb, yb);
|
|
|
|
cf= edge;
|
|
|
|
break;
|
|
|
|
case EMM:
|
|
|
|
VERTEX(edge, BELOW, RIGHT, xb, yb);
|
|
|
|
edge->outp[ABOVE]= NULL;
|
|
|
|
new_tristrip(&tlist, edge, xb, yb);
|
|
|
|
cf= edge;
|
|
|
|
break;
|
|
|
|
case LED:
|
|
|
|
if (edge->bot.y == yb)
|
|
|
|
VERTEX(edge, BELOW, LEFT, xb, yb);
|
|
|
|
edge->outp[ABOVE]= edge->outp[BELOW];
|
|
|
|
cf= edge;
|
|
|
|
cft= LED;
|
|
|
|
break;
|
|
|
|
case RED:
|
|
|
|
edge->outp[ABOVE]= cf->outp[ABOVE];
|
|
|
|
if (cft == LED)
|
|
|
|
{
|
|
|
|
if (cf->bot.y == yb)
|
|
|
|
{
|
|
|
|
VERTEX(edge, BELOW, RIGHT, xb, yb);
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
if (edge->bot.y == yb)
|
|
|
|
{
|
|
|
|
VERTEX(cf, BELOW, LEFT, cf->xb, yb);
|
|
|
|
VERTEX(edge, BELOW, RIGHT, xb, yb);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
VERTEX(edge, BELOW, RIGHT, xb, yb);
|
|
|
|
VERTEX(edge, ABOVE, RIGHT, xb, yb);
|
|
|
|
}
|
|
|
|
cf= NULL;
|
|
|
|
break;
|
|
|
|
default:
|
|
|
|
break;
|
|
|
|
} /* End of switch */
|
|
|
|
} /* End of contributing conditional */
|
|
|
|
} /* End of edge exists conditional */
|
|
|
|
} /* End of AET loop */
|
|
|
|
|
|
|
|
/* Delete terminating edges from the AET, otherwise compute xt */
|
|
|
|
for (edge= aet; edge; edge= edge->next)
|
|
|
|
{
|
|
|
|
if (edge->top.y == yb)
|
|
|
|
{
|
|
|
|
prev_edge= edge->prev;
|
|
|
|
next_edge= edge->next;
|
|
|
|
if (prev_edge)
|
|
|
|
prev_edge->next= next_edge;
|
|
|
|
else
|
|
|
|
aet= next_edge;
|
|
|
|
if (next_edge)
|
|
|
|
next_edge->prev= prev_edge;
|
|
|
|
|
|
|
|
/* Copy bundle head state to the adjacent tail edge if required */
|
|
|
|
if ((edge->bstate[BELOW] == BUNDLE_HEAD) && prev_edge)
|
|
|
|
{
|
|
|
|
if (prev_edge->bstate[BELOW] == BUNDLE_TAIL)
|
|
|
|
{
|
|
|
|
prev_edge->outp[BELOW]= edge->outp[BELOW];
|
|
|
|
prev_edge->bstate[BELOW]= UNBUNDLED;
|
|
|
|
if (prev_edge->prev)
|
|
|
|
if (prev_edge->prev->bstate[BELOW] == BUNDLE_TAIL)
|
|
|
|
prev_edge->bstate[BELOW]= BUNDLE_HEAD;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
if (edge->top.y == yt)
|
|
|
|
edge->xt= edge->top.x;
|
|
|
|
else
|
|
|
|
edge->xt= edge->bot.x + edge->dx * (yt - edge->bot.y);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
if (scanbeam < sbt_entries)
|
|
|
|
{
|
|
|
|
/* === SCANBEAM INTERIOR PROCESSING ============================== */
|
|
|
|
|
|
|
|
build_intersection_table(&it, aet, dy);
|
|
|
|
|
|
|
|
/* Process each node in the intersection table */
|
|
|
|
for (intersect= it; intersect; intersect= intersect->next)
|
|
|
|
{
|
|
|
|
e0= intersect->ie[0];
|
|
|
|
e1= intersect->ie[1];
|
|
|
|
|
|
|
|
/* Only generate output for contributing intersections */
|
|
|
|
if ((e0->bundle[ABOVE][CLIP] || e0->bundle[ABOVE][SUBJ])
|
|
|
|
&& (e1->bundle[ABOVE][CLIP] || e1->bundle[ABOVE][SUBJ]))
|
|
|
|
{
|
|
|
|
p= e0->outp[ABOVE];
|
|
|
|
q= e1->outp[ABOVE];
|
|
|
|
ix= intersect->point.x;
|
|
|
|
iy= intersect->point.y + yb;
|
|
|
|
|
|
|
|
in[CLIP]= ( e0->bundle[ABOVE][CLIP] && !e0->bside[CLIP])
|
|
|
|
|| ( e1->bundle[ABOVE][CLIP] && e1->bside[CLIP])
|
|
|
|
|| (!e0->bundle[ABOVE][CLIP] && !e1->bundle[ABOVE][CLIP]
|
|
|
|
&& e0->bside[CLIP] && e1->bside[CLIP]);
|
|
|
|
in[SUBJ]= ( e0->bundle[ABOVE][SUBJ] && !e0->bside[SUBJ])
|
|
|
|
|| ( e1->bundle[ABOVE][SUBJ] && e1->bside[SUBJ])
|
|
|
|
|| (!e0->bundle[ABOVE][SUBJ] && !e1->bundle[ABOVE][SUBJ]
|
|
|
|
&& e0->bside[SUBJ] && e1->bside[SUBJ]);
|
|
|
|
|
|
|
|
/* Determine quadrant occupancies */
|
|
|
|
switch (op)
|
|
|
|
{
|
|
|
|
case GPC_DIFF:
|
|
|
|
case GPC_INT:
|
|
|
|
tr= (in[CLIP])
|
|
|
|
&& (in[SUBJ]);
|
|
|
|
tl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP])
|
|
|
|
&& (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ]);
|
|
|
|
br= (in[CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
&& (in[SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
bl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
&& (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
break;
|
|
|
|
case GPC_XOR:
|
|
|
|
tr= (in[CLIP])
|
|
|
|
^ (in[SUBJ]);
|
|
|
|
tl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP])
|
|
|
|
^ (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ]);
|
|
|
|
br= (in[CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
^ (in[SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
bl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
^ (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
break;
|
|
|
|
case GPC_UNION:
|
|
|
|
tr= (in[CLIP])
|
|
|
|
|| (in[SUBJ]);
|
|
|
|
tl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP])
|
|
|
|
|| (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ]);
|
|
|
|
br= (in[CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
|| (in[SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
bl= (in[CLIP] ^ e1->bundle[ABOVE][CLIP] ^ e0->bundle[ABOVE][CLIP])
|
|
|
|
|| (in[SUBJ] ^ e1->bundle[ABOVE][SUBJ] ^ e0->bundle[ABOVE][SUBJ]);
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
|
|
|
|
vclass= tr + (tl << 1) + (br << 2) + (bl << 3);
|
|
|
|
|
|
|
|
switch (vclass)
|
|
|
|
{
|
|
|
|
case EMN:
|
|
|
|
new_tristrip(&tlist, e1, ix, iy);
|
|
|
|
e0->outp[ABOVE]= e1->outp[ABOVE];
|
|
|
|
break;
|
|
|
|
case ERI:
|
|
|
|
if (p)
|
|
|
|
{
|
|
|
|
P_EDGE(prev_edge, e0, ABOVE, px, iy);
|
|
|
|
VERTEX(prev_edge, ABOVE, LEFT, px, iy);
|
|
|
|
VERTEX(e0, ABOVE, RIGHT, ix, iy);
|
|
|
|
e1->outp[ABOVE]= e0->outp[ABOVE];
|
|
|
|
e0->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case ELI:
|
|
|
|
if (q)
|
|
|
|
{
|
|
|
|
N_EDGE(next_edge, e1, ABOVE, nx, iy);
|
|
|
|
VERTEX(e1, ABOVE, LEFT, ix, iy);
|
|
|
|
VERTEX(next_edge, ABOVE, RIGHT, nx, iy);
|
|
|
|
e0->outp[ABOVE]= e1->outp[ABOVE];
|
|
|
|
e1->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case EMX:
|
|
|
|
if (p && q)
|
|
|
|
{
|
|
|
|
VERTEX(e0, ABOVE, LEFT, ix, iy);
|
|
|
|
e0->outp[ABOVE]= NULL;
|
|
|
|
e1->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case IMN:
|
|
|
|
P_EDGE(prev_edge, e0, ABOVE, px, iy);
|
|
|
|
VERTEX(prev_edge, ABOVE, LEFT, px, iy);
|
|
|
|
N_EDGE(next_edge, e1, ABOVE, nx, iy);
|
|
|
|
VERTEX(next_edge, ABOVE, RIGHT, nx, iy);
|
|
|
|
new_tristrip(&tlist, prev_edge, px, iy);
|
|
|
|
e1->outp[ABOVE]= prev_edge->outp[ABOVE];
|
|
|
|
VERTEX(e1, ABOVE, RIGHT, ix, iy);
|
|
|
|
new_tristrip(&tlist, e0, ix, iy);
|
|
|
|
next_edge->outp[ABOVE]= e0->outp[ABOVE];
|
|
|
|
VERTEX(next_edge, ABOVE, RIGHT, nx, iy);
|
|
|
|
break;
|
|
|
|
case ILI:
|
|
|
|
if (p)
|
|
|
|
{
|
|
|
|
VERTEX(e0, ABOVE, LEFT, ix, iy);
|
|
|
|
N_EDGE(next_edge, e1, ABOVE, nx, iy);
|
|
|
|
VERTEX(next_edge, ABOVE, RIGHT, nx, iy);
|
|
|
|
e1->outp[ABOVE]= e0->outp[ABOVE];
|
|
|
|
e0->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case IRI:
|
|
|
|
if (q)
|
|
|
|
{
|
|
|
|
VERTEX(e1, ABOVE, RIGHT, ix, iy);
|
|
|
|
P_EDGE(prev_edge, e0, ABOVE, px, iy);
|
|
|
|
VERTEX(prev_edge, ABOVE, LEFT, px, iy);
|
|
|
|
e0->outp[ABOVE]= e1->outp[ABOVE];
|
|
|
|
e1->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case IMX:
|
|
|
|
if (p && q)
|
|
|
|
{
|
|
|
|
VERTEX(e0, ABOVE, RIGHT, ix, iy);
|
|
|
|
VERTEX(e1, ABOVE, LEFT, ix, iy);
|
|
|
|
e0->outp[ABOVE]= NULL;
|
|
|
|
e1->outp[ABOVE]= NULL;
|
|
|
|
P_EDGE(prev_edge, e0, ABOVE, px, iy);
|
|
|
|
VERTEX(prev_edge, ABOVE, LEFT, px, iy);
|
|
|
|
new_tristrip(&tlist, prev_edge, px, iy);
|
|
|
|
N_EDGE(next_edge, e1, ABOVE, nx, iy);
|
|
|
|
VERTEX(next_edge, ABOVE, RIGHT, nx, iy);
|
|
|
|
next_edge->outp[ABOVE]= prev_edge->outp[ABOVE];
|
|
|
|
VERTEX(next_edge, ABOVE, RIGHT, nx, iy);
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case IMM:
|
|
|
|
if (p && q)
|
|
|
|
{
|
|
|
|
VERTEX(e0, ABOVE, RIGHT, ix, iy);
|
|
|
|
VERTEX(e1, ABOVE, LEFT, ix, iy);
|
|
|
|
P_EDGE(prev_edge, e0, ABOVE, px, iy);
|
|
|
|
VERTEX(prev_edge, ABOVE, LEFT, px, iy);
|
|
|
|
new_tristrip(&tlist, prev_edge, px, iy);
|
|
|
|
N_EDGE(next_edge, e1, ABOVE, nx, iy);
|
|
|
|
VERTEX(next_edge, ABOVE, RIGHT, nx, iy);
|
|
|
|
e1->outp[ABOVE]= prev_edge->outp[ABOVE];
|
|
|
|
VERTEX(e1, ABOVE, RIGHT, ix, iy);
|
|
|
|
new_tristrip(&tlist, e0, ix, iy);
|
|
|
|
next_edge->outp[ABOVE]= e0->outp[ABOVE];
|
|
|
|
VERTEX(next_edge, ABOVE, RIGHT, nx, iy);
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
case EMM:
|
|
|
|
if (p && q)
|
|
|
|
{
|
|
|
|
VERTEX(e0, ABOVE, LEFT, ix, iy);
|
|
|
|
new_tristrip(&tlist, e1, ix, iy);
|
|
|
|
e0->outp[ABOVE]= e1->outp[ABOVE];
|
|
|
|
}
|
|
|
|
break;
|
|
|
|
default:
|
|
|
|
break;
|
|
|
|
} /* End of switch */
|
|
|
|
} /* End of contributing intersection conditional */
|
|
|
|
|
|
|
|
/* Swap bundle sides in response to edge crossing */
|
|
|
|
if (e0->bundle[ABOVE][CLIP])
|
|
|
|
e1->bside[CLIP]= !e1->bside[CLIP];
|
|
|
|
if (e1->bundle[ABOVE][CLIP])
|
|
|
|
e0->bside[CLIP]= !e0->bside[CLIP];
|
|
|
|
if (e0->bundle[ABOVE][SUBJ])
|
|
|
|
e1->bside[SUBJ]= !e1->bside[SUBJ];
|
|
|
|
if (e1->bundle[ABOVE][SUBJ])
|
|
|
|
e0->bside[SUBJ]= !e0->bside[SUBJ];
|
|
|
|
|
|
|
|
/* Swap e0 and e1 bundles in the AET */
|
|
|
|
prev_edge= e0->prev;
|
|
|
|
next_edge= e1->next;
|
|
|
|
if (e1->next)
|
|
|
|
e1->next->prev= e0;
|
|
|
|
|
|
|
|
if (e0->bstate[ABOVE] == BUNDLE_HEAD)
|
|
|
|
{
|
|
|
|
search= TRUE;
|
|
|
|
while (search)
|
|
|
|
{
|
|
|
|
prev_edge= prev_edge->prev;
|
|
|
|
if (prev_edge)
|
|
|
|
{
|
|
|
|
if (prev_edge->bundle[ABOVE][CLIP]
|
|
|
|
|| prev_edge->bundle[ABOVE][SUBJ]
|
|
|
|
|| (prev_edge->bstate[ABOVE] == BUNDLE_HEAD))
|
|
|
|
search= FALSE;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
search= FALSE;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if (!prev_edge)
|
|
|
|
{
|
|
|
|
e1->next= aet;
|
|
|
|
aet= e0->next;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
e1->next= prev_edge->next;
|
|
|
|
prev_edge->next= e0->next;
|
|
|
|
}
|
|
|
|
e0->next->prev= prev_edge;
|
|
|
|
e1->next->prev= e1;
|
|
|
|
e0->next= next_edge;
|
|
|
|
} /* End of IT loop*/
|
|
|
|
|
|
|
|
/* Prepare for next scanbeam */
|
|
|
|
for (edge= aet; edge; edge= next_edge)
|
|
|
|
{
|
|
|
|
next_edge= edge->next;
|
|
|
|
succ_edge= edge->succ;
|
|
|
|
|
|
|
|
if ((edge->top.y == yt) && succ_edge)
|
|
|
|
{
|
|
|
|
/* Replace AET edge by its successor */
|
|
|
|
succ_edge->outp[BELOW]= edge->outp[ABOVE];
|
|
|
|
succ_edge->bstate[BELOW]= edge->bstate[ABOVE];
|
|
|
|
succ_edge->bundle[BELOW][CLIP]= edge->bundle[ABOVE][CLIP];
|
|
|
|
succ_edge->bundle[BELOW][SUBJ]= edge->bundle[ABOVE][SUBJ];
|
|
|
|
prev_edge= edge->prev;
|
|
|
|
if (prev_edge)
|
|
|
|
prev_edge->next= succ_edge;
|
|
|
|
else
|
|
|
|
aet= succ_edge;
|
|
|
|
if (next_edge)
|
|
|
|
next_edge->prev= succ_edge;
|
|
|
|
succ_edge->prev= prev_edge;
|
|
|
|
succ_edge->next= next_edge;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
/* Update this edge */
|
|
|
|
edge->outp[BELOW]= edge->outp[ABOVE];
|
|
|
|
edge->bstate[BELOW]= edge->bstate[ABOVE];
|
|
|
|
edge->bundle[BELOW][CLIP]= edge->bundle[ABOVE][CLIP];
|
|
|
|
edge->bundle[BELOW][SUBJ]= edge->bundle[ABOVE][SUBJ];
|
|
|
|
edge->xb= edge->xt;
|
|
|
|
}
|
|
|
|
edge->outp[ABOVE]= NULL;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
} /* === END OF SCANBEAM PROCESSING ================================== */
|
|
|
|
|
|
|
|
/* Generate result tristrip from tlist */
|
|
|
|
result->strip= NULL;
|
|
|
|
result->num_strips= count_tristrips(tlist);
|
|
|
|
if (result->num_strips > 0)
|
|
|
|
{
|
|
|
|
MALLOC(result->strip, result->num_strips * sizeof(gpc_vertex_list),
|
|
|
|
"tristrip list creation", gpc_vertex_list);
|
|
|
|
|
|
|
|
s= 0;
|
|
|
|
for (tn= tlist; tn; tn= tnn)
|
|
|
|
{
|
|
|
|
tnn= tn->next;
|
|
|
|
|
|
|
|
if (tn->active > 2)
|
|
|
|
{
|
|
|
|
/* Valid tristrip: copy the vertices and free the heap */
|
|
|
|
result->strip[s].num_vertices= tn->active;
|
|
|
|
MALLOC(result->strip[s].vertex, tn->active * sizeof(gpc_vertex),
|
|
|
|
"tristrip creation", gpc_vertex);
|
|
|
|
v= 0;
|
|
|
|
if (INVERT_TRISTRIPS)
|
|
|
|
{
|
|
|
|
lt= tn->v[RIGHT];
|
|
|
|
rt= tn->v[LEFT];
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
lt= tn->v[LEFT];
|
|
|
|
rt= tn->v[RIGHT];
|
|
|
|
}
|
|
|
|
while (lt || rt)
|
|
|
|
{
|
|
|
|
if (lt)
|
|
|
|
{
|
|
|
|
ltn= lt->next;
|
|
|
|
result->strip[s].vertex[v].x= lt->x;
|
|
|
|
result->strip[s].vertex[v].y= lt->y;
|
|
|
|
v++;
|
|
|
|
FREE(lt);
|
|
|
|
lt= ltn;
|
|
|
|
}
|
|
|
|
if (rt)
|
|
|
|
{
|
|
|
|
rtn= rt->next;
|
|
|
|
result->strip[s].vertex[v].x= rt->x;
|
|
|
|
result->strip[s].vertex[v].y= rt->y;
|
|
|
|
v++;
|
|
|
|
FREE(rt);
|
|
|
|
rt= rtn;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
s++;
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
/* Invalid tristrip: just free the heap */
|
|
|
|
for (lt= tn->v[LEFT]; lt; lt= ltn)
|
|
|
|
{
|
|
|
|
ltn= lt->next;
|
|
|
|
FREE(lt);
|
|
|
|
}
|
|
|
|
for (rt= tn->v[RIGHT]; rt; rt=rtn)
|
|
|
|
{
|
|
|
|
rtn= rt->next;
|
|
|
|
FREE(rt);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
FREE(tn);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Tidy up */
|
|
|
|
reset_it(&it);
|
|
|
|
reset_lmt(&lmt);
|
|
|
|
FREE(c_heap);
|
|
|
|
FREE(s_heap);
|
|
|
|
FREE(sbt);
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
===========================================================================
|
|
|
|
End of file: gpc.c
|
|
|
|
===========================================================================
|
|
|
|
*/
|