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From: <airwin@us...>  20091228 17:41:52

Revision: 10731 http://plplot.svn.sourceforge.net/plplot/?rev=10731&view=rev Author: airwin Date: 20091228 17:41:45 +0000 (Mon, 28 Dec 2009) Log Message:  Fix cases where split 1/split 2 encompasses all/none of the polygon 2 vertices. This DUSE_FILL_INTERSECTION_POLYGON=ON change finally gives good results for the first four pages of example 25, if the clip limits are shifted around to avoid the case (not implemented yet) where polygon crossings occur at vertices. So it appears I have the basic recursive algorithm working correctly, but there are some details (e.g., polygon crossings at vertices) still to be implemented. Modified Paths:  trunk/src/plfill.c Modified: trunk/src/plfill.c ===================================================================  trunk/src/plfill.c 20091227 19:27:12 UTC (rev 10730) +++ trunk/src/plfill.c 20091228 17:41:45 UTC (rev 10731) @@ 1391,7 +1391,8 @@ PLINT i1, i1m1, i1start_new, i2, i2m1, kk, kkstart1, kkstart21, kkstart22,  k, kstart, range1, range21, range22, ncrossed, ncrossed_change, + k, kstart, range1, + range21, range22, ncrossed, ncrossed_change, nsplit1, nsplit2, nsplit2m1; PLINT xintersect[2], yintersect[2], i1intersect[2], i2intersect[2], ifnotcrossed; @@ 1520,7 +1521,6 @@ i1m1 += n1; for ( i1 = i1start; i1 < n1; i1++ ) {  i2m1 = n2  1; ncrossed_change = number_crossings( &xintersect[ncrossed], &yintersect[ncrossed], &i2intersect[ncrossed], 2  ncrossed, @@ 1537,95 +1537,6 @@ /* Have discovered the first two crossings for * polygon 1 at i1 = i1start or above. */  /* Calculate polygon 2 index range in split 1 (the  * split that proceeds beyond the second intersect with  * ascending i2 values). */  range21 = i2intersect[0]  i2intersect[1];  if ( range21 < 0 )  range21 += n2;  /* i2 intersect values range between 0 and n2  1 so  * the the smallest untransformed range21 value is n2  + 1, and the largest untransformed range21 value is  * n2  1. This means the smallest transformed range21  * value is +1. Also, for the untransformed range21  * value of 0, go the "long way" around with  * transformed range21 = n2 so that split 1 is  * guaranteed to have the correct fill_status == +1. */   /* N.B. always avoid special code for range21 == 0  * case because it is no longer necessary since there  * is a guarantee that the first vertex of polygon 1  * (starting with n1  1) that is not near the border  * of polygon 2 will be outside polygon 2. */  if ( 0 && range21 == 0 )  {  /* For this special case the above ascii art  * does not apply, and we must use the  * following diagram instead:  *  *  1 1 ...  *  *  *  * 2???2 X X 2???2  *  * 1 1  *  *  * N.B. no valid split of polygon 2 is  * possible with this diagram. However,  * this diagrem can be classified the same  * as the first diagram, but with the roles  * of polygon 1 and polygon 2 swapped so  * that polygon 1 is the one that gets split  * instead of polygon 2. In fact, swapping  * those two polygons (and starting the new  * polygon 1 just at i2intersect[1] of the old  * polygon 2 to insure the present two  * intersections are immediately (at least for the  * first new polygon segment 1) found and dealt  * with to eliminate the chance of an infinite  * "swap" loop) is the only clean way to deal with  * this situation. */  if (( xsplit2 = (PLINT *) malloc( n2 * sizeof ( PLINT ))) == NULL )  {  plexit( "fill_intersection_polygon: Insufficient memory" );  }  if (( ysplit2 = (PLINT *) malloc( n2 * sizeof ( PLINT ))) == NULL )  {  plexit( "fill_intersection_polygon: Insufficient memory" );  }  if (( ifsplit1 = (PLINT *) calloc( n1, sizeof ( PLINT ))) == NULL )  {  plexit( "fill_intersection_polygon: Insufficient memory" );  }  kk = i2intersect[1];  for ( i2 = 0; i2 < n2; i2++ )  {  xsplit2[kk] = x2[i2];  ysplit2[kk++] = y2[i2];  if ( kk == n2 )  kk = 0;  }  /* N.B. the positive orientation of split2  * is preserved since the index order is  * the same as that of polygon 2, and by  * assumption that polygon and polygon 1  * have identical positive  * orientations. fill_status does not matter  * here because a split is guaranteed at the  * next recursion level. For definiteness set  * it to zero. */  fill_intersection_polygon(  recursion_depth + 1, ifextrapolygon,  0, fill,  xsplit2, ysplit2, 0, n2,  x1, y1, ifsplit1, n1 );  free( xsplit2 );  free( ysplit2 );  free( ifsplit1 );  return;  } /* New i1start is the same as the current i1 (just * in case there are more crossings to find between * i1m1 and i1.) */ @@ 1645,17 +1556,57 @@ * kkstart1 of polygon 1, and the second intersect. */ kkstart1 = i1intersect[0]; + /* Calculate polygon 2 index range in split 1 (the + * split that proceeds beyond the second intersect with + * ascending i2 values). */ + range21 = i2intersect[0]  i2intersect[1]; + if ( range21 < 0 ) + range21 += n2; + /* i2 intersect values range between 0 and n2  1 so + * the smallest untransformed range21 value is n2 + 1, + * and the largest untransformed range21 value is n2  1. + * This means the smallest transformed range21 value is 0 + * (which occurs only ifi2intersect[0] = i2intersect[1], + * see more commentary for that special case below) while + * the largest transformed range21 value is n2  1. */ + + if ( range21 == 0 ) + { + int ifxsort, ifascend; + /* For this case, the two crossings occur within the same + * polygon 2 boundary segment and if those two crossings + * are in ascending/descending order in i2, then split 1 + * (the split with the positive fill_status) must include + * all/none of the points in polygon 2. */ + i2 = i2intersect[1]; + i2m1 = i2  1; + if ( i2m1 < 0 ) + i2m1 += n2; + + ifxsort = abs( x2[i2]  x2[i2m1] ) > abs( y2[i2]  y2[i2m1] ); + ifascend = ( ifxsort && x2[i2] > x2[i2m1] )  + ( !ifxsort && y2[i2] > y2[i2m1] ); + if (( ifxsort && ifascend && xintersect[0] < xintersect[1] )  + ( !ifxsort && ifascend && yintersect[0] < yintersect[1] )  + ( ifxsort && !ifascend && xintersect[0] >= xintersect[1] )  + ( !ifxsort && !ifascend && yintersect[0] >= yintersect[1] )) + { + range21 = n2; + } + } + kkstart21 = i2intersect[1]; + nsplit1 = 2 + range1 + range21; /* Split 2 of polygon 2 consists of the * boundary + range22 (= n2  range21) points * between kkstart22 (= i2intersect[1]1) and i2intersect[0] in * descending order of polygon 2 indices. */  range22 = n2  range21; + range22 = n2  range21; + /* Starting i2 index of split 2. */ kkstart22 = i2intersect[1]  1; if ( kkstart22 < 0 ) kkstart22 += n2;  nsplit1 = 2 + range1 + range21; nsplit2 = 2 + range1 + range22; if (( xsplit1 = (PLINT *) malloc( nsplit1 * sizeof ( PLINT ))) == NULL ) This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site. 