#include #include #include #include #include "fitsio2.h" #include "region.h" static int Pt_in_Poly( double x, double y, int nPts, double *Pts ); /*---------------------------------------------------------------------------*/ int ffrrgn( const char *filename, WCSdata *wcs, SAORegion **Rgn, int *status ) /* Read regions from a SAO-style region file and return the information */ /* in the "SAORegion" structure. If it is nonNULL, use wcs to convert the */ /* region coordinates to pixels. Return an error if region is in degrees */ /* but no WCS data is provided. */ /*---------------------------------------------------------------------------*/ { char *currLine; char *namePtr, *paramPtr, *currLoc; char *pX, *pY, *endp; long allocLen, lineLen, hh, mm, dd; double *coords = 0, X, Y, R, x, y, ss, xsave= 0., ysave= 0.; int nParams, nCoords, negdec; int i, done; FILE *rgnFile; coordFmt cFmt; SAORegion *aRgn; RgnShape *newShape, *tmpShape; if( *status ) return( *status ); aRgn = (SAORegion *)malloc( sizeof(SAORegion) ); if( ! aRgn ) { ffpmsg("Couldn't allocate memory to hold Region file contents."); return(*status = MEMORY_ALLOCATION ); } aRgn->nShapes = 0; aRgn->Shapes = NULL; if( wcs && wcs->exists ) aRgn->wcs = *wcs; else aRgn->wcs.exists = 0; cFmt = pixel_fmt; /* set default format */ /* Allocate Line Buffer */ allocLen = 512; currLine = (char *)malloc( allocLen * sizeof(char) ); if( !currLine ) { free( aRgn ); ffpmsg("Couldn't allocate memory to hold Region file contents."); return(*status = MEMORY_ALLOCATION ); } /* Open Region File */ if( (rgnFile = fopen( filename, "r" ))==NULL ) { sprintf(currLine,"Could not open Region file %s.",filename); ffpmsg( currLine ); free( currLine ); free( aRgn ); return( *status = FILE_NOT_OPENED ); } /* Read in file, line by line */ while( fgets(currLine,allocLen,rgnFile) != NULL ) { /* Make sure we have a full line of text */ lineLen = strlen(currLine); while( lineLen==allocLen-1 && currLine[lineLen-1]!='\n' ) { currLoc = (char *)realloc( currLine, 2 * allocLen * sizeof(char) ); if( !currLoc ) { ffpmsg("Couldn't allocate memory to hold Region file contents."); *status = MEMORY_ALLOCATION; goto error; } else { currLine = currLoc; } fgets( currLine+lineLen, allocLen+1, rgnFile ); allocLen += allocLen; lineLen += strlen(currLine+lineLen); } currLoc = currLine; if( *currLoc == '#' ) { /* Look to see if it is followed by a format statement... */ /* if not skip line */ currLoc++; while( *currLoc==' ' ) currLoc++; if( !strncasecmp( currLoc, "format:", 7 ) ) { if( aRgn->nShapes ) { ffpmsg("Format code encountered after reading 1 or more shapes."); *status = PARSE_SYNTAX_ERR; goto error; } currLoc += 7; while( *currLoc==' ' ) currLoc++; if( !strncasecmp( currLoc, "pixel", 5 ) ) { cFmt = pixel_fmt; } else if( !strncasecmp( currLoc, "degree", 6 ) ) { cFmt = degree_fmt; } else if( !strncasecmp( currLoc, "hhmmss", 6 ) ) { cFmt = hhmmss_fmt; } else if( !strncasecmp( currLoc, "hms", 3 ) ) { cFmt = hhmmss_fmt; } else { ffpmsg("Unknown format code encountered in region file."); *status = PARSE_SYNTAX_ERR; goto error; } } } else if( !strncasecmp( currLoc, "glob", 4 ) ) { /* skip lines that begin with the word 'global' */ } else { while( *currLoc != '\0' ) { namePtr = currLoc; paramPtr = NULL; nParams = 1; /* Search for closing parenthesis */ done = 0; while( !done && !*status && *currLoc ) { switch (*currLoc) { case '(': *currLoc = '\0'; currLoc++; if( paramPtr ) /* Can't have two '(' in a region! */ *status = 1; else paramPtr = currLoc; break; case ')': *currLoc = '\0'; currLoc++; if( !paramPtr ) /* Can't have a ')' without a '(' first */ *status = 1; else done = 1; break; case '#': case '\n': *currLoc = '\0'; if( !paramPtr ) /* Allow for a blank line */ done = 1; break; case ':': currLoc++; cFmt = hhmmss_fmt; break; case 'd': currLoc++; cFmt = degree_fmt; break; case ',': nParams++; /* Fall through to default */ default: currLoc++; break; } } if( *status || !done ) { ffpmsg( "Error reading Region file" ); *status = PARSE_SYNTAX_ERR; goto error; } /* Skip white space in region name */ while( *namePtr==' ' ) namePtr++; /* Was this a blank line? Or the end of the current one */ if( ! *namePtr && ! paramPtr ) continue; /**************************************************/ /* We've apparently found a region... Set it up */ /**************************************************/ if( !(aRgn->nShapes % 10) ) { if( aRgn->Shapes ) tmpShape = (RgnShape *)realloc( aRgn->Shapes, (10+aRgn->nShapes) * sizeof(RgnShape) ); else tmpShape = (RgnShape *) malloc( 10 * sizeof(RgnShape) ); if( tmpShape ) { aRgn->Shapes = tmpShape; } else { ffpmsg( "Failed to allocate memory for Region data"); *status = MEMORY_ALLOCATION; goto error; } } newShape = &aRgn->Shapes[aRgn->nShapes++]; newShape->sign = 1; newShape->shape = point_rgn; /* Check for format code at beginning of the line */ if( !strncasecmp( namePtr, "image;", 6 ) ) { namePtr += 6; cFmt = pixel_fmt; } else if( !strncasecmp( namePtr, "fk4;", 4 ) ) { namePtr += 4; cFmt = degree_fmt; } else if( !strncasecmp( namePtr, "fk5;", 4 ) ) { namePtr += 4; cFmt = degree_fmt; } else if( !strncasecmp( namePtr, "icrs;", 5 ) ) { namePtr += 5; cFmt = degree_fmt; } else if( !strncasecmp( namePtr, "fk5", 3 ) ) { cFmt = degree_fmt; continue; /* supports POW region file format */ } else if( !strncasecmp( namePtr, "fk4", 3 ) ) { cFmt = degree_fmt; continue; /* supports POW region file format */ } else if( !strncasecmp( namePtr, "icrs", 4 ) ) { cFmt = degree_fmt; continue; /* supports POW region file format */ } else if( !strncasecmp( namePtr, "image", 5 ) ) { cFmt = pixel_fmt; continue; /* supports POW region file format */ } else if( !strncasecmp( namePtr, "galactic;", 9 ) ) { ffpmsg( "Galactic region coordinates not supported" ); ffpmsg( namePtr ); *status = PARSE_SYNTAX_ERR; goto error; } else if( !strncasecmp( namePtr, "ecliptic;", 9 ) ) { ffpmsg( "ecliptic region coordinates not supported" ); ffpmsg( namePtr ); *status = PARSE_SYNTAX_ERR; goto error; } while( *namePtr==' ' ) namePtr++; /* Check for the shape's sign */ if( *namePtr=='+' ) { namePtr++; } else if( *namePtr=='-' ) { namePtr++; newShape->sign = 0; } /* Skip white space in region name */ while( *namePtr==' ' ) namePtr++; if( *namePtr=='\0' ) { ffpmsg( "Error reading Region file" ); *status = PARSE_SYNTAX_ERR; goto error; } lineLen = strlen( namePtr ) - 1; while( namePtr[lineLen]==' ' ) namePtr[lineLen--] = '\0'; /* Now identify the region */ if( !strcasecmp( namePtr, "circle" ) ) { newShape->shape = circle_rgn; if( nParams != 3 ) *status = PARSE_SYNTAX_ERR; nCoords = 2; } else if( !strcasecmp( namePtr, "annulus" ) ) { newShape->shape = annulus_rgn; if( nParams != 4 ) *status = PARSE_SYNTAX_ERR; nCoords = 2; } else if( !strcasecmp( namePtr, "ellipse" ) ) { newShape->shape = ellipse_rgn; if( nParams < 4 || nParams > 5 ) *status = PARSE_SYNTAX_ERR; newShape->param.gen.p[4] = 0.0; nCoords = 2; } else if( !strcasecmp( namePtr, "elliptannulus" ) ) { newShape->shape = elliptannulus_rgn; if( !( nParams==8 || nParams==6 ) ) *status = PARSE_SYNTAX_ERR; newShape->param.gen.p[6] = 0.0; newShape->param.gen.p[7] = 0.0; nCoords = 2; } else if( !strcasecmp( namePtr, "box" ) || !strcasecmp( namePtr, "rotbox" ) ) { newShape->shape = box_rgn; if( nParams < 4 || nParams > 5 ) *status = PARSE_SYNTAX_ERR; newShape->param.gen.p[4] = 0.0; nCoords = 2; } else if( !strcasecmp( namePtr, "rectangle" ) || !strcasecmp( namePtr, "rotrectangle" ) ) { newShape->shape = rectangle_rgn; if( nParams < 4 || nParams > 5 ) *status = PARSE_SYNTAX_ERR; newShape->param.gen.p[4] = 0.0; nCoords = 4; } else if( !strcasecmp( namePtr, "diamond" ) || !strcasecmp( namePtr, "rotdiamond" ) || !strcasecmp( namePtr, "rhombus" ) || !strcasecmp( namePtr, "rotrhombus" ) ) { newShape->shape = diamond_rgn; if( nParams < 4 || nParams > 5 ) *status = PARSE_SYNTAX_ERR; newShape->param.gen.p[4] = 0.0; nCoords = 2; } else if( !strcasecmp( namePtr, "sector" ) || !strcasecmp( namePtr, "pie" ) ) { newShape->shape = sector_rgn; if( nParams != 4 ) *status = PARSE_SYNTAX_ERR; nCoords = 2; } else if( !strcasecmp( namePtr, "point" ) ) { newShape->shape = point_rgn; if( nParams != 2 ) *status = PARSE_SYNTAX_ERR; nCoords = 2; } else if( !strcasecmp( namePtr, "line" ) ) { newShape->shape = line_rgn; if( nParams != 4 ) *status = PARSE_SYNTAX_ERR; nCoords = 4; } else if( !strcasecmp( namePtr, "polygon" ) ) { newShape->shape = poly_rgn; if( nParams < 6 || (nParams&1) ) *status = PARSE_SYNTAX_ERR; nCoords = nParams; } else { ffpmsg( "Unrecognized region found in region file:" ); ffpmsg( namePtr ); *status = PARSE_SYNTAX_ERR; goto error; } if( *status ) { ffpmsg( "Wrong number of parameters found for region" ); ffpmsg( namePtr ); goto error; } /* Parse Parameter string... convert to pixels if necessary */ if( newShape->shape==poly_rgn ) { newShape->param.poly.Pts = (double *)malloc( nParams * sizeof(double) ); if( !newShape->param.poly.Pts ) { ffpmsg( "Could not allocate memory to hold polygon parameters" ); *status = MEMORY_ALLOCATION; goto error; } newShape->param.poly.nPts = nParams; coords = newShape->param.poly.Pts; } else coords = newShape->param.gen.p; /* Parse the initial "WCS?" coordinates */ for( i=0; iexists ) { ffpmsg("WCS information needed to convert region coordinates."); *status = NO_WCS_KEY; goto error; } if( ffxypx( X, Y, wcs->xrefval, wcs->yrefval, wcs->xrefpix, wcs->yrefpix, wcs->xinc, wcs->yinc, wcs->rot, wcs->type, &x, &y, status ) ) { ffpmsg("Error converting region to pixel coordinates."); goto error; } X = x; Y = y; } coords[i] = X; coords[i+1] = Y; } /* Read in remaining parameters... */ for( ; ixrefval, wcs->yrefval, wcs->xrefpix, wcs->yrefpix, wcs->xinc, wcs->yinc, wcs->rot, wcs->type, &x, &y, status ) ) { ffpmsg("Error converting region to pixel coordinates."); goto error; } coords[i] = sqrt( pow(x-coords[0],2) + pow(y-coords[1],2) ); } else if (endp && *endp=='\'') { /* parameter given in arcmin so convert to pixels. */ /* Increment first Y coordinate by this amount, then calc */ /* the distance in pixels from the original coordinate. */ /* NOTE: This assumes the pixels are square!! */ if (ysave < 0.) Y = ysave + coords[i]/60.; /* don't exceed -90 */ else Y = ysave - coords[i]/60.; /* don't exceed +90 */ X = xsave; if( ffxypx( X, Y, wcs->xrefval, wcs->yrefval, wcs->xrefpix, wcs->yrefpix, wcs->xinc, wcs->yinc, wcs->rot, wcs->type, &x, &y, status ) ) { ffpmsg("Error converting region to pixel coordinates."); goto error; } coords[i] = sqrt( pow(x-coords[0],2) + pow(y-coords[1],2) ); } else if (endp && *endp=='d') { /* parameter given in degrees so convert to pixels. */ /* Increment first Y coordinate by this amount, then calc */ /* the distance in pixels from the original coordinate. */ /* NOTE: This assumes the pixels are square!! */ if (ysave < 0.) Y = ysave + coords[i]; /* don't exceed -90 */ else Y = ysave - coords[i]; /* don't exceed +90 */ X = xsave; if( ffxypx( X, Y, wcs->xrefval, wcs->yrefval, wcs->xrefpix, wcs->yrefpix, wcs->xinc, wcs->yinc, wcs->rot, wcs->type, &x, &y, status ) ) { ffpmsg("Error converting region to pixel coordinates."); goto error; } coords[i] = sqrt( pow(x-coords[0],2) + pow(y-coords[1],2) ); } } /* Perform some useful calculations now to speed up filter later */ switch( newShape->shape ) { case circle_rgn: newShape->param.gen.a = coords[2] * coords[2]; break; case annulus_rgn: newShape->param.gen.a = coords[2] * coords[2]; newShape->param.gen.b = coords[3] * coords[3]; break; case sector_rgn: while( coords[2]> 180.0 ) coords[2] -= 360.0; while( coords[2]<=-180.0 ) coords[2] += 360.0; while( coords[3]> 180.0 ) coords[3] -= 360.0; while( coords[3]<=-180.0 ) coords[3] += 360.0; break; case ellipse_rgn: newShape->param.gen.sinT = sin( myPI * (coords[4] / 180.0) ); newShape->param.gen.cosT = cos( myPI * (coords[4] / 180.0) ); break; case elliptannulus_rgn: newShape->param.gen.a = sin( myPI * (coords[6] / 180.0) ); newShape->param.gen.b = cos( myPI * (coords[6] / 180.0) ); newShape->param.gen.sinT = sin( myPI * (coords[7] / 180.0) ); newShape->param.gen.cosT = cos( myPI * (coords[7] / 180.0) ); break; case box_rgn: newShape->param.gen.sinT = sin( myPI * (coords[4] / 180.0) ); newShape->param.gen.cosT = cos( myPI * (coords[4] / 180.0) ); break; case rectangle_rgn: newShape->param.gen.sinT = sin( myPI * (coords[4] / 180.0) ); newShape->param.gen.cosT = cos( myPI * (coords[4] / 180.0) ); X = 0.5 * ( coords[2]-coords[0] ); Y = 0.5 * ( coords[3]-coords[1] ); newShape->param.gen.a = fabs( X * newShape->param.gen.cosT + Y * newShape->param.gen.sinT ); newShape->param.gen.b = fabs( Y * newShape->param.gen.cosT - X * newShape->param.gen.sinT ); newShape->param.gen.p[5] = 0.5 * ( coords[2]+coords[0] ); newShape->param.gen.p[6] = 0.5 * ( coords[3]+coords[1] ); break; case diamond_rgn: newShape->param.gen.sinT = sin( myPI * (coords[4] / 180.0) ); newShape->param.gen.cosT = cos( myPI * (coords[4] / 180.0) ); break; case line_rgn: X = coords[2] - coords[0]; Y = coords[3] - coords[1]; R = sqrt( X*X + Y*Y ); newShape->param.gen.sinT = ( R ? Y/R : 0.0 ); newShape->param.gen.cosT = ( R ? X/R : 1.0 ); newShape->param.gen.a = R + 0.5; break; case point_rgn: break; case poly_rgn: /* Find bounding box */ newShape->param.poly.xmin = coords[0]; newShape->param.poly.xmax = coords[0]; newShape->param.poly.ymin = coords[1]; newShape->param.poly.ymax = coords[1]; for( i=2; iparam.poly.xmin > coords[i] ) /* Min X */ newShape->param.poly.xmin = coords[i]; if( newShape->param.poly.xmax < coords[i] ) /* Max X */ newShape->param.poly.xmax = coords[i]; i++; if( newShape->param.poly.ymin > coords[i] ) /* Min Y */ newShape->param.poly.ymin = coords[i]; if( newShape->param.poly.ymax < coords[i] ) /* Max Y */ newShape->param.poly.ymax = coords[i]; i++; } break; } } /* End of while( *currLoc ) */ /* if (coords)printf("%.8f %.8f %.8f %.8f %.8f\n", coords[0],coords[1],coords[2],coords[3],coords[4]); */ } /* End of if...else parse line */ } /* End of while( fgets(rgnFile) ) */ error: if( *status ) fits_free_region( aRgn ); else *Rgn = aRgn; fclose( rgnFile ); free( currLine ); return( *status ); } /*---------------------------------------------------------------------------*/ int fftrgn( double X, double Y, SAORegion *Rgn ) /* Test if the given point is within the region described by Rgn. X and */ /* Y are in pixel coordinates. */ /*---------------------------------------------------------------------------*/ { double x, y, dx, dy, xprime, yprime, r; RgnShape *Shapes; int i; int result = 0; Shapes = Rgn->Shapes; /* if an excluded region is given first, then implicitly */ /* assume a previous shape that includes the entire image. */ if (!Shapes->sign) result = 1; for( i=0; inShapes; i++, Shapes++ ) { /* only need to test if */ /* the point is not already included and this is an include region, */ /* or the point is included and this is an excluded region */ if ( (!result && Shapes->sign) || (result && !Shapes->sign) ) { result = 1; switch( Shapes->shape ) { case box_rgn: /* Shift origin to center of region */ xprime = X - Shapes->param.gen.p[0]; yprime = Y - Shapes->param.gen.p[1]; /* Rotate point to region's orientation */ x = xprime * Shapes->param.gen.cosT + yprime * Shapes->param.gen.sinT; y = -xprime * Shapes->param.gen.sinT + yprime * Shapes->param.gen.cosT; dx = 0.5 * Shapes->param.gen.p[2]; dy = 0.5 * Shapes->param.gen.p[3]; if( (x < -dx) || (x > dx) || (y < -dy) || (y > dy) ) result = 0; break; case rectangle_rgn: /* Shift origin to center of region */ xprime = X - Shapes->param.gen.p[5]; yprime = Y - Shapes->param.gen.p[6]; /* Rotate point to region's orientation */ x = xprime * Shapes->param.gen.cosT + yprime * Shapes->param.gen.sinT; y = -xprime * Shapes->param.gen.sinT + yprime * Shapes->param.gen.cosT; dx = Shapes->param.gen.a; dy = Shapes->param.gen.b; if( (x < -dx) || (x > dx) || (y < -dy) || (y > dy) ) result = 0; break; case diamond_rgn: /* Shift origin to center of region */ xprime = X - Shapes->param.gen.p[0]; yprime = Y - Shapes->param.gen.p[1]; /* Rotate point to region's orientation */ x = xprime * Shapes->param.gen.cosT + yprime * Shapes->param.gen.sinT; y = -xprime * Shapes->param.gen.sinT + yprime * Shapes->param.gen.cosT; dx = 0.5 * Shapes->param.gen.p[2]; dy = 0.5 * Shapes->param.gen.p[3]; r = fabs(x/dx) + fabs(y/dy); if( r > 1 ) result = 0; break; case circle_rgn: /* Shift origin to center of region */ x = X - Shapes->param.gen.p[0]; y = Y - Shapes->param.gen.p[1]; r = x*x + y*y; if ( r > Shapes->param.gen.a ) result = 0; break; case annulus_rgn: /* Shift origin to center of region */ x = X - Shapes->param.gen.p[0]; y = Y - Shapes->param.gen.p[1]; r = x*x + y*y; if ( r < Shapes->param.gen.a || r > Shapes->param.gen.b ) result = 0; break; case sector_rgn: /* Shift origin to center of region */ x = X - Shapes->param.gen.p[0]; y = Y - Shapes->param.gen.p[1]; if( x || y ) { r = atan2( y, x ) * 180.0 / myPI; if( Shapes->param.gen.p[2] <= Shapes->param.gen.p[3] ) { if( r < Shapes->param.gen.p[2] || r > Shapes->param.gen.p[3] ) result = 0; } else { if( r < Shapes->param.gen.p[2] && r > Shapes->param.gen.p[3] ) result = 0; } } break; case ellipse_rgn: /* Shift origin to center of region */ xprime = X - Shapes->param.gen.p[0]; yprime = Y - Shapes->param.gen.p[1]; /* Rotate point to region's orientation */ x = xprime * Shapes->param.gen.cosT + yprime * Shapes->param.gen.sinT; y = -xprime * Shapes->param.gen.sinT + yprime * Shapes->param.gen.cosT; x /= Shapes->param.gen.p[2]; y /= Shapes->param.gen.p[3]; r = x*x + y*y; if( r>1.0 ) result = 0; break; case elliptannulus_rgn: /* Shift origin to center of region */ xprime = X - Shapes->param.gen.p[0]; yprime = Y - Shapes->param.gen.p[1]; /* Rotate point to outer ellipse's orientation */ x = xprime * Shapes->param.gen.cosT + yprime * Shapes->param.gen.sinT; y = -xprime * Shapes->param.gen.sinT + yprime * Shapes->param.gen.cosT; x /= Shapes->param.gen.p[4]; y /= Shapes->param.gen.p[5]; r = x*x + y*y; if( r>1.0 ) result = 0; else { /* Repeat test for inner ellipse */ x = xprime * Shapes->param.gen.b + yprime * Shapes->param.gen.a; y = -xprime * Shapes->param.gen.a + yprime * Shapes->param.gen.b; x /= Shapes->param.gen.p[2]; y /= Shapes->param.gen.p[3]; r = x*x + y*y; if( r<1.0 ) result = 0; } break; case line_rgn: /* Shift origin to first point of line */ xprime = X - Shapes->param.gen.p[0]; yprime = Y - Shapes->param.gen.p[1]; /* Rotate point to line's orientation */ x = xprime * Shapes->param.gen.cosT + yprime * Shapes->param.gen.sinT; y = -xprime * Shapes->param.gen.sinT + yprime * Shapes->param.gen.cosT; if( (y < -0.5) || (y >= 0.5) || (x < -0.5) || (x >= Shapes->param.gen.a) ) result = 0; break; case point_rgn: /* Shift origin to center of region */ x = X - Shapes->param.gen.p[0]; y = Y - Shapes->param.gen.p[1]; if ( (x<-0.5) || (x>=0.5) || (y<-0.5) || (y>=0.5) ) result = 0; break; case poly_rgn: if( Xparam.poly.xmin || X>Shapes->param.poly.xmax || Yparam.poly.ymin || Y>Shapes->param.poly.ymax ) result = 0; else result = Pt_in_Poly( X, Y, Shapes->param.poly.nPts, Shapes->param.poly.Pts ); break; } if( !Shapes->sign ) result = !result; } } return( result ); } /*---------------------------------------------------------------------------*/ void fffrgn( SAORegion *Rgn ) /* Free up memory allocated to hold the region data. */ /*---------------------------------------------------------------------------*/ { int i; for( i=0; inShapes; i++ ) if( Rgn->Shapes[i].shape == poly_rgn ) free( Rgn->Shapes[i].param.poly.Pts ); if( Rgn->Shapes ) free( Rgn->Shapes ); free( Rgn ); } /*---------------------------------------------------------------------------*/ static int Pt_in_Poly( double x, double y, int nPts, double *Pts ) /* Internal routine for testing whether the coordinate x,y is within the */ /* polygon region traced out by the array Pts. */ /*---------------------------------------------------------------------------*/ { int i, j, flag=0; double prevX, prevY; double nextX, nextY; double dx, dy, Dy; nextX = Pts[nPts-2]; nextY = Pts[nPts-1]; for( i=0; iprevY && y>=nextY) || (yprevX && x>=nextX) ) continue; /* Check to see if x,y lies right on the segment */ if( x>=prevX || x>nextX ) { dy = y - prevY; Dy = nextY - prevY; if( fabs(Dy)<1e-10 ) { if( fabs(dy)<1e-10 ) return( 1 ); else continue; } dx = prevX + ( (nextX-prevX)/(Dy) ) * dy - x; if( dx < -1e-10 ) continue; if( dx < 1e-10 ) return( 1 ); } /* There is an intersection! Make sure it isn't a V point. */ if( y != prevY ) { flag = 1 - flag; } else { j = i+1; /* Point to Y component */ do { if( j>1 ) j -= 2; else j = nPts-1; } while( y == Pts[j] ); if( (nextY-y)*(y-Pts[j]) > 0 ) flag = 1-flag; } } return( flag ); }