1/* 2** License Applicability. Except to the extent portions of this file are 3** made subject to an alternative license as permitted in the SGI Free 4** Software License B, Version 1.1 (the "License"), the contents of this 5** file are subject only to the provisions of the License. You may not use 6** this file except in compliance with the License. You may obtain a copy 7** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600 8** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at: 9** 10** http://oss.sgi.com/projects/FreeB 11** 12** Note that, as provided in the License, the Software is distributed on an 13** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS 14** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND 15** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A 16** PARTICULAR PURPOSE, AND NON-INFRINGEMENT. 17** 18** Original Code. The Original Code is: OpenGL Sample Implementation, 19** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics, 20** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc. 21** Copyright in any portions created by third parties is as indicated 22** elsewhere herein. All Rights Reserved. 23** 24** Additional Notice Provisions: The application programming interfaces 25** established by SGI in conjunction with the Original Code are The 26** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released 27** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version 28** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X 29** Window System(R) (Version 1.3), released October 19, 1998. This software 30** was created using the OpenGL(R) version 1.2.1 Sample Implementation 31** published by SGI, but has not been independently verified as being 32** compliant with the OpenGL(R) version 1.2.1 Specification. 33*/ 34 35/* 36 * arc.c++ 37 * 38 */ 39 40#include <stdio.h> 41#include "glimports.h" 42#include "mystdio.h" 43#include "myassert.h" 44#include "arc.h" 45#include "bin.h" 46#include "pwlarc.h" 47#include "simplemath.h" 48 49/* local preprocessor definitions */ 50#define ZERO 0.00001/*0.000001*/ 51 52const int Arc::bezier_tag = (1<<13); 53const int Arc::arc_tag = (1<<3); 54const int Arc::tail_tag = (1<<6); 55 56/*-------------------------------------------------------------------------- 57 * makeSide - attach a pwl arc to an arc and mark it as a border arc 58 *-------------------------------------------------------------------------- 59 */ 60 61void 62Arc::makeSide( PwlArc *pwl, arc_side side ) 63{ 64 assert( pwl != 0); 65 assert( pwlArc == 0 ); 66 assert( pwl->npts > 0 ); 67 assert( pwl->pts != 0); 68 pwlArc = pwl; 69 clearbezier(); 70 setside( side ); 71} 72 73 74/*-------------------------------------------------------------------------- 75 * numpts - count number of points on arc loop 76 *-------------------------------------------------------------------------- 77 */ 78 79int 80Arc::numpts( void ) 81{ 82 Arc_ptr jarc = this; 83 int npts = 0; 84 do { 85 npts += jarc->pwlArc->npts; 86 jarc = jarc->next; 87 } while( jarc != this ); 88 return npts; 89} 90 91/*-------------------------------------------------------------------------- 92 * markverts - mark each point with id of arc 93 *-------------------------------------------------------------------------- 94 */ 95 96void 97Arc::markverts( void ) 98{ 99 Arc_ptr jarc = this; 100 101 do { 102 TrimVertex *p = jarc->pwlArc->pts; 103 for( int i=0; i<jarc->pwlArc->npts; i++ ) 104 p[i].nuid = jarc->nuid; 105 jarc = jarc->next; 106 } while( jarc != this ); 107} 108 109/*-------------------------------------------------------------------------- 110 * getextrema - find axis extrema on arc loop 111 *-------------------------------------------------------------------------- 112 */ 113 114void 115Arc::getextrema( Arc_ptr extrema[4] ) 116{ 117 REAL leftpt, botpt, rightpt, toppt; 118 119 extrema[0] = extrema[1] = extrema[2] = extrema[3] = this; 120 121 leftpt = rightpt = this->tail()[0]; 122 botpt = toppt = this->tail()[1]; 123 124 for( Arc_ptr jarc = this->next; jarc != this; jarc = jarc->next ) { 125 if ( jarc->tail()[0] < leftpt || 126 (jarc->tail()[0] <= leftpt && jarc->rhead()[0]<=leftpt)) { 127 leftpt = jarc->pwlArc->pts->param[0]; 128 extrema[1] = jarc; 129 } 130 if ( jarc->tail()[0] > rightpt || 131 (jarc->tail()[0] >= rightpt && jarc->rhead()[0] >= rightpt)) { 132 rightpt = jarc->pwlArc->pts->param[0]; 133 extrema[3] = jarc; 134 } 135 if ( jarc->tail()[1] < botpt || 136 (jarc->tail()[1] <= botpt && jarc->rhead()[1] <= botpt )) { 137 botpt = jarc->pwlArc->pts->param[1]; 138 extrema[2] = jarc; 139 } 140 if ( jarc->tail()[1] > toppt || 141 (jarc->tail()[1] >= toppt && jarc->rhead()[1] >= toppt)) { 142 toppt = jarc->pwlArc->pts->param[1]; 143 extrema[0] = jarc; 144 } 145 } 146} 147 148 149/*------------------------------------------------------------------------- 150 * show - print to the stdout the vertices of a pwl arc 151 *------------------------------------------------------------------------- 152 */ 153 154void 155Arc::show() 156{ 157#ifndef NDEBUG 158 _glu_dprintf( "\tPWLARC NP: %d FL: 1\n", pwlArc->npts ); 159 for( int i = 0; i < pwlArc->npts; i++ ) { 160 _glu_dprintf( "\t\tVERTEX %f %f\n", pwlArc->pts[i].param[0], 161 pwlArc->pts[i].param[1] ); 162 } 163#endif 164} 165 166/*------------------------------------------------------------------------- 167 * print - print out the vertices of all pwl arcs on a loop 168 *------------------------------------------------------------------------- 169 */ 170 171void 172Arc::print( void ) 173{ 174 Arc_ptr jarc = this; 175 176#ifndef NDEBUG 177 _glu_dprintf( "BGNTRIM\n" ); 178#endif 179 do { 180 jarc->show( ); 181 jarc = jarc->next; 182 } while (jarc != this); 183#ifndef NDEBUG 184 _glu_dprintf("ENDTRIM\n" ); 185#endif 186} 187 188/*------------------------------------------------------------------------- 189 * isDisconnected - check if tail of arc and head of prev meet 190 *------------------------------------------------------------------------- 191 */ 192 193int 194Arc::isDisconnected( void ) 195{ 196 if( pwlArc == 0 ) return 0; 197 if( prev->pwlArc == 0 ) return 0; 198 199 REAL *p0 = tail(); 200 REAL *p1 = prev->rhead(); 201 202 if( ((p0[0] - p1[0]) > ZERO) || ((p1[0] - p0[0]) > ZERO) || 203 ((p0[1] - p1[1]) > ZERO) || ((p1[1] - p0[1]) > ZERO) ) { 204#ifndef NDEBUG 205 _glu_dprintf( "x coord = %f %f %f\n", p0[0], p1[0], p0[0] - p1[0] ); 206 _glu_dprintf( "y coord = %f %f %f\n", p0[1], p1[1], p0[1] - p1[1] ); 207#endif 208 return 1; 209 } else { 210 /* average two points together */ 211 p0[0] = p1[0] = (p1[0] + p0[0]) * 0.5; 212 p0[1] = p1[1] = (p1[1] + p0[1]) * 0.5; 213 return 0; 214 } 215} 216 217/*------------------------------------------------------------------------- 218 * neq_vert - assert that two 2D vertices are not equal 219 *------------------------------------------------------------------------- 220 */ 221 222inline static int 223neq_vert( REAL *v1, REAL *v2 ) 224{ 225 return ((v1[0] != v2[0]) || (v1[1] != v2[1] )) ? 1 : 0; 226} 227 228/*------------------------------------------------------------------------- 229 * check - verify consistency of a loop, including 230 * 1) if pwl, no two consecutive vertices are identical 231 * 2) the circular link pointers are valid 232 * 3) the geometric info at the head and tail are consistent 233 *------------------------------------------------------------------------- 234 */ 235 236int 237Arc::check( void ) 238{ 239 if( this == 0 ) return 1; 240 Arc_ptr jarc = this; 241 do { 242 assert( (jarc->pwlArc != 0) || (jarc->bezierArc != 0) ); 243 244 if (jarc->prev == 0 || jarc->next == 0) { 245#ifndef NDEBUG 246 _glu_dprintf( "checkjarc:null next/prev pointer\n"); 247 jarc->print( ); 248#endif 249 return 0; 250 } 251 252 if (jarc->next->prev != jarc) { 253#ifndef NDEBUG 254 _glu_dprintf( "checkjarc: pointer linkage screwed up\n"); 255 jarc->print( ); 256#endif 257 return 0; 258 } 259 260 if( jarc->pwlArc ) { 261#ifndef NDEBUG 262 assert( jarc->pwlArc->npts >= 1 ); 263 assert( jarc->pwlArc->npts < 100000 ); 264/* 265 for( int i=0; i < jarc->pwlArc->npts-1; i++ ) 266 assert( neq_vert( jarc->pwlArc->pts[i].param, 267 jarc->pwlArc->pts[i+1].param) ); 268*/ 269#endif 270 if( jarc->prev->pwlArc ) { 271 if( jarc->tail()[1] != jarc->prev->rhead()[1] ) { 272#ifndef NDEBUG 273 _glu_dprintf( "checkjarc: geometric linkage screwed up 1\n"); 274 jarc->prev->show(); 275 jarc->show(); 276#endif 277 return 0; 278 } 279 if( jarc->tail()[0] != jarc->prev->rhead()[0] ) { 280 281#ifndef NDEBUG 282 _glu_dprintf( "checkjarc: geometric linkage screwed up 2\n"); 283 jarc->prev->show(); 284 jarc->show(); 285#endif 286 return 0; 287 } 288 } 289 if( jarc->next->pwlArc ) { 290 if( jarc->next->tail()[0] != jarc->rhead()[0] ) { 291#ifndef NDEBUG 292 _glu_dprintf( "checkjarc: geometric linkage screwed up 3\n"); 293 jarc->show(); 294 jarc->next->show(); 295#endif 296 return 0; 297 } 298 if( jarc->next->tail()[1] != jarc->rhead()[1] ) { 299#ifndef NDEBUG 300 _glu_dprintf( "checkjarc: geometric linkage screwed up 4\n"); 301 jarc->show(); 302 jarc->next->show(); 303#endif 304 return 0; 305 } 306 } 307 if( jarc->isbezier() ) { 308 assert( jarc->pwlArc->npts == 2 ); 309 assert( (jarc->pwlArc->pts[0].param[0] == \ 310 jarc->pwlArc->pts[1].param[0]) ||\ 311 (jarc->pwlArc->pts[0].param[1] == \ 312 jarc->pwlArc->pts[1].param[1]) ); 313 } 314 } 315 jarc = jarc->next; 316 } while (jarc != this); 317 return 1; 318} 319 320 321#define TOL 0.00001 322 323inline long tooclose( REAL x, REAL y ) 324{ 325 return (glu_abs(x-y) < TOL) ? 1 : 0; 326} 327 328 329/*-------------------------------------------------------------------------- 330 * append - append a jordan arc to a circularly linked list 331 *-------------------------------------------------------------------------- 332 */ 333 334Arc_ptr 335Arc::append( Arc_ptr jarc ) 336{ 337 if( jarc != 0 ) { 338 next = jarc->next; 339 prev = jarc; 340 next->prev = prev->next = this; 341 } else { 342 next = prev = this; 343 } 344 return this; 345} 346 347