FreeWRL/FreeX3D  3.0.0
arc.cc
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 "bezierarc.h"
47 #include "pwlarc.h"
48 #include "simplemath.h"
49 
50 /* local preprocessor definitions */
51 #define ZERO 0.00001/*0.000001*/
52 
53 const int Arc::bezier_tag = (1<<13);
54 const int Arc::arc_tag = (1<<3);
55 const int Arc::tail_tag = (1<<6);
56 
57 /*--------------------------------------------------------------------------
58  * makeSide - attach a pwl arc to an arc and mark it as a border arc
59  *--------------------------------------------------------------------------
60  */
61 
62 void
63 Arc::makeSide( PwlArc *pwl, arc_side side )
64 {
65  assert( pwl != 0);
66  assert( pwlArc == 0 );
67  assert( pwl->npts > 0 );
68  assert( pwl->pts != 0);
69  pwlArc = pwl;
70  clearbezier();
71  setside( side );
72 }
73 
74 
75 /*--------------------------------------------------------------------------
76  * numpts - count number of points on arc loop
77  *--------------------------------------------------------------------------
78  */
79 
80 int
81 Arc::numpts( void )
82 {
83  Arc_ptr jarc = this;
84  int npts = 0;
85  do {
86  npts += jarc->pwlArc->npts;
87  jarc = jarc->next;
88  } while( jarc != this );
89  return npts;
90 }
91 
92 /*--------------------------------------------------------------------------
93  * markverts - mark each point with id of arc
94  *--------------------------------------------------------------------------
95  */
96 
97 void
98 Arc::markverts( void )
99 {
100  Arc_ptr jarc = this;
101 
102  do {
103  TrimVertex *p = jarc->pwlArc->pts;
104  for( int i=0; i<jarc->pwlArc->npts; i++ )
105  p[i].nuid = jarc->nuid;
106  jarc = jarc->next;
107  } while( jarc != this );
108 }
109 
110 /*--------------------------------------------------------------------------
111  * getextrema - find axis extrema on arc loop
112  *--------------------------------------------------------------------------
113  */
114 
115 void
116 Arc::getextrema( Arc_ptr extrema[4] )
117 {
118  REAL leftpt, botpt, rightpt, toppt;
119 
120  extrema[0] = extrema[1] = extrema[2] = extrema[3] = this;
121 
122  leftpt = rightpt = this->tail()[0];
123  botpt = toppt = this->tail()[1];
124 
125  for( Arc_ptr jarc = this->next; jarc != this; jarc = jarc->next ) {
126  if ( jarc->tail()[0] < leftpt ||
127  (jarc->tail()[0] <= leftpt && jarc->rhead()[0]<=leftpt)) {
128  leftpt = jarc->pwlArc->pts->param[0];
129  extrema[1] = jarc;
130  }
131  if ( jarc->tail()[0] > rightpt ||
132  (jarc->tail()[0] >= rightpt && jarc->rhead()[0] >= rightpt)) {
133  rightpt = jarc->pwlArc->pts->param[0];
134  extrema[3] = jarc;
135  }
136  if ( jarc->tail()[1] < botpt ||
137  (jarc->tail()[1] <= botpt && jarc->rhead()[1] <= botpt )) {
138  botpt = jarc->pwlArc->pts->param[1];
139  extrema[2] = jarc;
140  }
141  if ( jarc->tail()[1] > toppt ||
142  (jarc->tail()[1] >= toppt && jarc->rhead()[1] >= toppt)) {
143  toppt = jarc->pwlArc->pts->param[1];
144  extrema[0] = jarc;
145  }
146  }
147 }
148 
149 
150 /*-------------------------------------------------------------------------
151  * show - print to the stdout the vertices of a pwl arc
152  *-------------------------------------------------------------------------
153  */
154 
155 void
156 Arc::show()
157 {
158 #ifndef NDEBUG
159  _glu_dprintf( "\tPWLARC NP: %d FL: 1\n", pwlArc->npts );
160  for( int i = 0; i < pwlArc->npts; i++ ) {
161  _glu_dprintf( "\t\tVERTEX %f %f\n", pwlArc->pts[i].param[0],
162  pwlArc->pts[i].param[1] );
163  }
164 #endif
165 }
166 
167 /*-------------------------------------------------------------------------
168  * print - print out the vertices of all pwl arcs on a loop
169  *-------------------------------------------------------------------------
170  */
171 
172 void
173 Arc::print( void )
174 {
175  Arc_ptr jarc = this;
176 
177 #ifndef NDEBUG
178  _glu_dprintf( "BGNTRIM\n" );
179 #endif
180  do {
181  jarc->show( );
182  jarc = jarc->next;
183  } while (jarc != this);
184 #ifndef NDEBUG
185  _glu_dprintf("ENDTRIM\n" );
186 #endif
187 }
188 
189 /*-------------------------------------------------------------------------
190  * isDisconnected - check if tail of arc and head of prev meet
191  *-------------------------------------------------------------------------
192  */
193 
194 int
195 Arc::isDisconnected( void )
196 {
197  if( pwlArc == 0 ) return 0;
198  if( prev->pwlArc == 0 ) return 0;
199 
200  REAL *p0 = tail();
201  REAL *p1 = prev->rhead();
202 
203  if( ((p0[0] - p1[0]) > ZERO) || ((p1[0] - p0[0]) > ZERO) ||
204  ((p0[1] - p1[1]) > ZERO) || ((p1[1] - p0[1]) > ZERO) ) {
205 #ifndef NDEBUG
206  _glu_dprintf( "x coord = %f %f %f\n", p0[0], p1[0], p0[0] - p1[0] );
207  _glu_dprintf( "y coord = %f %f %f\n", p0[1], p1[1], p0[1] - p1[1] );
208 #endif
209  return 1;
210  } else {
211  /* average two points together */
212  p0[0] = p1[0] = (p1[0] + p0[0]) * 0.5;
213  p0[1] = p1[1] = (p1[1] + p0[1]) * 0.5;
214  return 0;
215  }
216 }
217 
218 /*-------------------------------------------------------------------------
219  * neq_vert - assert that two 2D vertices are not equal
220  *-------------------------------------------------------------------------
221  */
222 
223 inline static int
224 neq_vert( REAL *v1, REAL *v2 )
225 {
226  return ((v1[0] != v2[0]) || (v1[1] != v2[1] )) ? 1 : 0;
227 }
228 
229 /*-------------------------------------------------------------------------
230  * check - verify consistency of a loop, including
231  * 1) if pwl, no two consecutive vertices are identical
232  * 2) the circular link pointers are valid
233  * 3) the geometric info at the head and tail are consistent
234  *-------------------------------------------------------------------------
235  */
236 
237 int
238 Arc::check( void )
239 {
240  if( this == 0 ) return 1;
241  Arc_ptr jarc = this;
242  do {
243  assert( (jarc->pwlArc != 0) || (jarc->bezierArc != 0) );
244 
245  if (jarc->prev == 0 || jarc->next == 0) {
246 #ifndef NDEBUG
247  _glu_dprintf( "checkjarc:null next/prev pointer\n");
248  jarc->print( );
249 #endif
250  return 0;
251  }
252 
253  if (jarc->next->prev != jarc) {
254 #ifndef NDEBUG
255  _glu_dprintf( "checkjarc: pointer linkage screwed up\n");
256  jarc->print( );
257 #endif
258  return 0;
259  }
260 
261  if( jarc->pwlArc ) {
262 #ifndef NDEBUG
263  assert( jarc->pwlArc->npts >= 1 );
264  assert( jarc->pwlArc->npts < 100000 );
265 /*
266  for( int i=0; i < jarc->pwlArc->npts-1; i++ )
267  assert( neq_vert( jarc->pwlArc->pts[i].param,
268  jarc->pwlArc->pts[i+1].param) );
269 */
270 #endif
271  if( jarc->prev->pwlArc ) {
272  if( jarc->tail()[1] != jarc->prev->rhead()[1] ) {
273 #ifndef NDEBUG
274  _glu_dprintf( "checkjarc: geometric linkage screwed up 1\n");
275  jarc->prev->show();
276  jarc->show();
277 #endif
278  return 0;
279  }
280  if( jarc->tail()[0] != jarc->prev->rhead()[0] ) {
281 
282 #ifndef NDEBUG
283  _glu_dprintf( "checkjarc: geometric linkage screwed up 2\n");
284  jarc->prev->show();
285  jarc->show();
286 #endif
287  return 0;
288  }
289  }
290  if( jarc->next->pwlArc ) {
291  if( jarc->next->tail()[0] != jarc->rhead()[0] ) {
292 #ifndef NDEBUG
293  _glu_dprintf( "checkjarc: geometric linkage screwed up 3\n");
294  jarc->show();
295  jarc->next->show();
296 #endif
297  return 0;
298  }
299  if( jarc->next->tail()[1] != jarc->rhead()[1] ) {
300 #ifndef NDEBUG
301  _glu_dprintf( "checkjarc: geometric linkage screwed up 4\n");
302  jarc->show();
303  jarc->next->show();
304 #endif
305  return 0;
306  }
307  }
308  if( jarc->isbezier() ) {
309  assert( jarc->pwlArc->npts == 2 );
310  assert( (jarc->pwlArc->pts[0].param[0] == \
311  jarc->pwlArc->pts[1].param[0]) ||\
312  (jarc->pwlArc->pts[0].param[1] == \
313  jarc->pwlArc->pts[1].param[1]) );
314  }
315  }
316  jarc = jarc->next;
317  } while (jarc != this);
318  return 1;
319 }
320 
321 
322 #define TOL 0.00001
323 
324 inline long tooclose( REAL x, REAL y )
325 {
326  return (glu_abs(x-y) < TOL) ? 1 : 0;
327 }
328 
329 
330 /*--------------------------------------------------------------------------
331  * append - append a jordan arc to a circularly linked list
332  *--------------------------------------------------------------------------
333  */
334 
335 Arc_ptr
336 Arc::append( Arc_ptr jarc )
337 {
338  if( jarc != 0 ) {
339  next = jarc->next;
340  prev = jarc;
341  next->prev = prev->next = this;
342  } else {
343  next = prev = this;
344  }
345  return this;
346 }
347 
Definition: pwlarc.h:44