1196 lines
34 KiB
C++
1196 lines
34 KiB
C++
// math for graphics utility routines and RC, from FreePCB
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#include <vector>
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#include <math.h>
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#include <float.h>
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#include <limits.h>
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#include <fctsys.h>
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#include <PolyLine.h>
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#define NM_PER_MIL 25400
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/**
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* Function TestLineHit
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* test for hit on line segment i.e. a point within a given distance from segment
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* @param x, y = cursor coords
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* @param xi,yi,xf,yf = the end-points of the line segment
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* @param dist = maximum distance for hit
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* return true if dist < distance between the point and the segment
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*/
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bool TestLineHit( int xi, int yi, int xf, int yf, int x, int y, double dist )
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{
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double dd;
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// test for vertical or horizontal segment
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if( xf==xi )
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{
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// vertical segment
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dd = fabs( (double)(x-xi) );
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if( dd<dist && ( (yf>yi && y<yf && y>yi) || (yf<yi && y>yf && y<yi) ) )
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return true;
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}
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else if( yf==yi )
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{
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// horizontal segment
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dd = fabs( (double)(y-yi) );
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if( dd<dist && ( (xf>xi && x<xf && x>xi) || (xf<xi && x>xf && x<xi) ) )
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return true;
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}
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else
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{
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// oblique segment
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// find a,b such that (xi,yi) and (xf,yf) lie on y = a + bx
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double b = (double)(yf-yi)/(xf-xi);
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double a = (double)yi-b*xi;
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// find c,d such that (x,y) lies on y = c + dx where d=(-1/b)
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double d = -1.0/b;
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double c = (double)y-d*x;
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// find nearest point to (x,y) on line segment (xi,yi) to (xf,yf)
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double xp = (a-c)/(d-b);
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double yp = a + b*xp;
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// find distance
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dd = sqrt((x-xp)*(x-xp)+(y-yp)*(y-yp));
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if( fabs(b)>0.7 )
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{
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// line segment more vertical than horizontal
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if( dd<dist && ( (yf>yi && yp<yf && yp>yi) || (yf<yi && yp>yf && yp<yi) ) )
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return 1;
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}
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else
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{
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// line segment more horizontal than vertical
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if( dd<dist && ( (xf>xi && xp<xf && xp>xi) || (xf<xi && xp>xf && xp<xi) ) )
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return true;
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}
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}
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return false; // no hit
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}
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// set EllipseKH struct to describe the ellipse for an arc
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//
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int MakeEllipseFromArc( int xi, int yi, int xf, int yf, int style, EllipseKH * el )
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{
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// arc (quadrant of ellipse)
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// convert to clockwise arc
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int xxi, xxf, yyi, yyf;
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if( style == CPolyLine::ARC_CCW )
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{
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xxi = xf;
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xxf = xi;
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yyi = yf;
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yyf = yi;
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}
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else
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{
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xxi = xi;
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xxf = xf;
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yyi = yi;
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yyf = yf;
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}
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// find center and radii of ellipse
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double xo=0, yo=0;
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if( xxf > xxi && yyf > yyi )
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{
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xo = xxf;
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yo = yyi;
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el->theta1 = M_PI;
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el->theta2 = M_PI/2.0;
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}
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else if( xxf < xxi && yyf > yyi )
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{
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xo = xxi;
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yo = yyf;
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el->theta1 = -M_PI/2.0;
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el->theta2 = -M_PI;
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}
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else if( xxf < xxi && yyf < yyi )
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{
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xo = xxf;
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yo = yyi;
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el->theta1 = 0.0;
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el->theta2 = -M_PI/2.0;
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}
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else if( xxf > xxi && yyf < yyi )
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{
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xo = xxi;
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yo = yyf;
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el->theta1 = M_PI/2.0;
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el->theta2 = 0.0;
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}
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el->Center.X = xo;
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el->Center.Y = yo;
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el->xrad = abs(xf-xi);
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el->yrad = abs(yf-yi);
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#if 0
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el->Phi = 0.0;
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el->MaxRad = el->xrad;
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el->MinRad = el->yrad;
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if( el->MaxRad < el->MinRad )
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{
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el->MaxRad = el->yrad;
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el->MinRad = el->xrad;
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el->Phi = M_PI/2.0;
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}
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#endif
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return 0;
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}
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// find intersections between line segment (xi,yi) to (xf,yf)
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// and line segment (xi2,yi2) to (xf2,yf2)
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// the line segments may be arcs (i.e. quadrant of an ellipse) or straight
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// returns number of intersections found (max of 2)
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// returns coords of intersections in arrays x[2], y[2]
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//
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int FindSegmentIntersections( int xi, int yi, int xf, int yf, int style,
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int xi2, int yi2, int xf2, int yf2, int style2,
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double x[], double y[] )
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{
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double xr[12], yr[12];
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int iret = 0;
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if( max(xi,xf) < min(xi2,xf2)
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|| min(xi,xf) > max(xi2,xf2)
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|| max(yi,yf) < min(yi2,yf2)
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|| min(yi,yf) > max(yi2,yf2) )
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return 0;
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if( style != CPolyLine::STRAIGHT && style2 != CPolyLine::STRAIGHT )
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{
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// two identical arcs intersect
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if( style == style2 && xi == xi2 && yi == yi2 && xf == xf2 && yf == yf2 )
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{
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if( x && y )
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{
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x[0] = xi;
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y[0] = yi;
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}
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return 1;
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}
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else if( style != style2 && xi == xf2 && yi == yf2 && xf == xi2 && yf == yi2 )
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{
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if( x && y )
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{
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x[0] = xi;
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y[0] = yi;
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}
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return 1;
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}
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}
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if( style == CPolyLine::STRAIGHT && style2 == CPolyLine::STRAIGHT )
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{
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// both straight-line segments
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int x, y;
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bool bYes = TestForIntersectionOfStraightLineSegments( xi, yi, xf, yf, xi2, yi2, xf2, yf2, &x, &y );
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if( !bYes )
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return 0;
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xr[0] = x;
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yr[0] = y;
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iret = 1;
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}
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else if( style == CPolyLine::STRAIGHT )
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{
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// first segment is straight, second segment is an arc
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int ret;
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double x1r, y1r, x2r, y2r;
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if( xf == xi )
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{
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// vertical first segment
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double a = xi;
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double b = DBL_MAX/2.0;
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ret = FindLineSegmentIntersection( a, b, xi2, yi2, xf2, yf2, style2,
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&x1r, &y1r, &x2r, &y2r );
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}
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else
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{
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double b = (double)(yf-yi)/(double)(xf-xi);
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double a = yf - b*xf;
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ret = FindLineSegmentIntersection( a, b, xi2, yi2, xf2, yf2, style2,
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&x1r, &y1r, &x2r, &y2r );
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}
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if( ret == 0 )
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return 0;
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if( InRange( x1r, xi, xf ) && InRange( y1r, yi, yf ) )
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{
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xr[iret] = x1r;
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yr[iret] = y1r;
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iret++;
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}
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if( ret == 2 )
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{
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if( InRange( x2r, xi, xf ) && InRange( y2r, yi, yf ) )
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{
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xr[iret] = x2r;
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yr[iret] = y2r;
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iret++;
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}
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}
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}
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else if( style2 == CPolyLine::STRAIGHT )
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{
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// first segment is an arc, second segment is straight
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int ret;
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double x1r, y1r, x2r, y2r;
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if( xf2 == xi2 )
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{
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// vertical second segment
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double a = xi2;
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double b = DBL_MAX/2.0;
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ret = FindLineSegmentIntersection( a, b, xi, yi, xf, yf, style,
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&x1r, &y1r, &x2r, &y2r );
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}
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else
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{
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double b = (double)(yf2-yi2)/(double)(xf2-xi2);
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double a = yf2 - b*xf2;
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ret = FindLineSegmentIntersection( a, b, xi, yi, xf, yf, style,
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&x1r, &y1r, &x2r, &y2r );
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}
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if( ret == 0 )
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return 0;
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if( InRange( x1r, xi2, xf2 ) && InRange( y1r, yi2, yf2 ) )
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{
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xr[iret] = x1r;
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yr[iret] = y1r;
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iret++;
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}
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if( ret == 2 )
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{
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if( InRange( x2r, xi2, xf2 ) && InRange( y2r, yi2, yf2 ) )
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{
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xr[iret] = x2r;
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yr[iret] = y2r;
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iret++;
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}
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}
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}
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else
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{
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// both segments are arcs
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EllipseKH el1;
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EllipseKH el2;
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MakeEllipseFromArc( xi, yi, xf, yf, style, &el1 );
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MakeEllipseFromArc( xi2, yi2, xf2, yf2, style2, &el2 );
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int n;
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if( el1.xrad+el1.yrad > el2.xrad+el2.yrad )
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n = GetArcIntersections( &el1, &el2 );
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else
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n = GetArcIntersections( &el2, &el1 );
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iret = n;
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}
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if( x && y )
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{
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for( int i=0; i<iret; i++ )
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{
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x[i] = xr[i];
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y[i] = yr[i];
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}
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}
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return iret;
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}
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// find intersection between line y = a + bx and line segment (xi,yi) to (xf,yf)
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// if b > DBL_MAX/10, assume vertical line at x = a
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// the line segment may be an arc (i.e. quadrant of an ellipse)
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// return 0 if no intersection
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// returns 1 or 2 if intersections found
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// sets coords of intersections in *x1, *y1, *x2, *y2
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// if no intersection, returns min distance in dist
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//
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int FindLineSegmentIntersection( double a, double b, int xi, int yi, int xf, int yf, int style,
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double * x1, double * y1, double * x2, double * y2,
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double * dist )
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{
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double xx = 0, yy = 0; //Init made to avoid C compil "uninitialized" warning
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bool bVert = false;
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if( b > DBL_MAX/10.0 )
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bVert = true;
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if( xf != xi )
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{
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// non-vertical segment, get intersection
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if( style == CPolyLine::STRAIGHT || yf == yi )
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{
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// horizontal or oblique straight segment
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// put into form y = c + dx;
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double d = (double)(yf-yi)/(double)(xf-xi);
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double c = yf - d*xf;
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if( bVert )
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{
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// if vertical line, easy
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if( InRange( a, xi, xf ) )
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{
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*x1 = a;
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*y1 = c + d*a;
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return 1;
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}
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else
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{
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if( dist )
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*dist = min( abs(a-xi), abs(a-xf) );
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return 0;
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}
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}
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if( fabs(b-d) < 1E-12 )
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{
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// parallel lines
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if( dist )
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{
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*dist = GetPointToLineDistance( a, b, xi, xf );
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}
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return 0; // lines parallel
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}
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// calculate intersection
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xx = (c-a)/(b-d);
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yy = a + b*(xx);
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// see if intersection is within the line segment
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if( yf == yi )
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{
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// horizontal line
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if( (xx>=xi && xx>xf) || (xx<=xi && xx<xf) )
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return 0;
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}
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else
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{
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// oblique line
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if( (xx>=xi && xx>xf) || (xx<=xi && xx<xf)
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|| (yy>yi && yy>yf) || (yy<yi && yy<yf) )
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return 0;
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}
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}
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else if( style == CPolyLine::ARC_CW || style == CPolyLine::ARC_CCW )
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{
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// arc (quadrant of ellipse)
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// convert to clockwise arc
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int xxi, xxf, yyi, yyf;
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if( style == CPolyLine::ARC_CCW )
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{
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xxi = xf;
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xxf = xi;
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yyi = yf;
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yyf = yi;
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}
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else
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{
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xxi = xi;
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xxf = xf;
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yyi = yi;
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yyf = yf;
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}
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// find center and radii of ellipse
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double xo = xxf, yo = yyi, rx, ry; // Init made to avoid C compil warnings
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if( xxf > xxi && yyf > yyi )
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{
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xo = xxf;
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yo = yyi;
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}
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else if( xxf < xxi && yyf > yyi )
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{
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xo = xxi;
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yo = yyf;
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}
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else if( xxf < xxi && yyf < yyi )
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{
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xo = xxf;
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yo = yyi;
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}
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else if( xxf > xxi && yyf < yyi )
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{
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xo = xxi;
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yo = yyf;
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}
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rx = fabs( (double)(xxi-xxf) );
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ry = fabs( (double)(yyi-yyf) );
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bool test;
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double xx1, xx2, yy1, yy2, aa;
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if( bVert )
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{
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// shift vertical line to coordinate system of ellipse
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aa = a - xo;
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test = FindVerticalLineEllipseIntersections( rx, ry, aa, &yy1, &yy2 );
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if( !test )
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return 0;
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// shift back to PCB coordinates
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yy1 += yo;
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yy2 += yo;
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xx1 = a;
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xx2 = a;
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}
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else
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{
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// shift line to coordinate system of ellipse
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aa = a + b*xo - yo;
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test = FindLineEllipseIntersections( rx, ry, aa, b, &xx1, &xx2 );
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if( !test )
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return 0;
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// shift back to PCB coordinates
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yy1 = aa + b*xx1;
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xx1 += xo;
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yy1 += yo;
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yy2 = aa + b*xx2;
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xx2 += xo;
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yy2 += yo;
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}
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int npts = 0;
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if( (xxf>xxi && xx1<xxf && xx1>xxi) || (xxf<xxi && xx1<xxi && xx1>xxf) )
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{
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if( (yyf>yyi && yy1<yyf && yy1>yyi) || (yyf<yyi && yy1<yyi && yy1>yyf) )
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{
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*x1 = xx1;
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*y1 = yy1;
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npts = 1;
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}
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}
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if( (xxf>xxi && xx2<xxf && xx2>xxi) || (xxf<xxi && xx2<xxi && xx2>xxf) )
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{
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if( (yyf>yyi && yy2<yyf && yy2>yyi) || (yyf<yyi && yy2<yyi && yy2>yyf) )
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{
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if( npts == 0 )
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{
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*x1 = xx2;
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*y1 = yy2;
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npts = 1;
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}
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else
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{
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*x2 = xx2;
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*y2 = yy2;
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npts = 2;
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}
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}
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}
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return npts;
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}
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else
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wxASSERT(0);
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}
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else
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{
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// vertical line segment
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if( bVert )
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return 0;
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xx = xi;
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yy = a + b*xx;
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if( (yy>=yi && yy>yf) || (yy<=yi && yy<yf) )
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return 0;
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}
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*x1 = xx;
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*y1 = yy;
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return 1;
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}
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/*
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* Function TestForIntersectionOfStraightLineSegments
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* Test for intersection of line segments
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* If lines are parallel, returns false
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* If true, returns also intersection coords in x, y
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* if false, returns min. distance in dist (may be 0.0 if parallel)
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*/
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bool TestForIntersectionOfStraightLineSegments( int x1i, int y1i, int x1f, int y1f,
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int x2i, int y2i, int x2f, int y2f,
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int * x, int * y, double * d )
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{
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double a, b, dist;
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// first, test for intersection
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if( x1i == x1f && x2i == x2f )
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{
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// both segments are vertical, can't intersect
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}
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else if( y1i == y1f && y2i == y2f )
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{
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// both segments are horizontal, can't intersect
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}
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else if( x1i == x1f && y2i == y2f )
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{
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// first seg. vertical, second horizontal, see if they cross
|
|
if( InRange( x1i, x2i, x2f )
|
|
&& InRange( y2i, y1i, y1f ) )
|
|
{
|
|
if( x )
|
|
*x = x1i;
|
|
if( y )
|
|
*y = y2i;
|
|
if( d )
|
|
*d = 0.0;
|
|
return true;
|
|
}
|
|
}
|
|
else if( y1i == y1f && x2i == x2f )
|
|
{
|
|
// first seg. horizontal, second vertical, see if they cross
|
|
if( InRange( y1i, y2i, y2f )
|
|
&& InRange( x2i, x1i, x1f ) )
|
|
{
|
|
if( x )
|
|
*x = x2i;
|
|
if( y )
|
|
*y = y1i;
|
|
if( d )
|
|
*d = 0.0;
|
|
return true;
|
|
}
|
|
}
|
|
else if( x1i == x1f )
|
|
{
|
|
// first segment vertical, second oblique
|
|
// get a and b for second line segment, so that y = a + bx;
|
|
b = (double)(y2f-y2i)/(x2f-x2i);
|
|
a = (double)y2i - b*x2i;
|
|
double x1, y1, x2, y2;
|
|
int test = FindLineSegmentIntersection( a, b, x1i, y1i, x1f, y1f, CPolyLine::STRAIGHT,
|
|
&x1, &y1, &x2, &y2 );
|
|
if( test )
|
|
{
|
|
if( InRange( y1, y1i, y1f ) && InRange( x1, x2i, x2f ) && InRange( y1, y2i, y2f ) )
|
|
{
|
|
if( x )
|
|
*x = (int) x1;
|
|
if( y )
|
|
*y = (int) y1;
|
|
if( d )
|
|
*d = 0.0;
|
|
return true;
|
|
}
|
|
}
|
|
}
|
|
else if( y1i == y1f )
|
|
{
|
|
// first segment horizontal, second oblique
|
|
// get a and b for second line segment, so that y = a + bx;
|
|
b = (double)(y2f-y2i)/(x2f-x2i);
|
|
a = (double)y2i - b*x2i;
|
|
double x1, y1, x2, y2;
|
|
int test = FindLineSegmentIntersection( a, b, x1i, y1i, x1f, y1f, CPolyLine::STRAIGHT,
|
|
&x1, &y1, &x2, &y2 );
|
|
if( test )
|
|
{
|
|
if( InRange( x1, x1i, x1f ) && InRange( x1, x2i, x2f ) && InRange( y1, y2i, y2f ) )
|
|
{
|
|
if( x )
|
|
*x = (int) x1;
|
|
if( y )
|
|
*y = (int) y1;
|
|
if( d )
|
|
*d = 0.0;
|
|
return true;
|
|
}
|
|
}
|
|
}
|
|
else if( x2i == x2f )
|
|
{
|
|
// second segment vertical, first oblique
|
|
// get a and b for first line segment, so that y = a + bx;
|
|
b = (double)(y1f-y1i)/(x1f-x1i);
|
|
a = (double)y1i - b*x1i;
|
|
double x1, y1, x2, y2;
|
|
int test = FindLineSegmentIntersection( a, b, x2i, y2i, x2f, y2f, CPolyLine::STRAIGHT,
|
|
&x1, &y1, &x2, &y2 );
|
|
if( test )
|
|
{
|
|
if( InRange( x1, x1i, x1f ) && InRange( y1, y1i, y1f ) && InRange( y1, y2i, y2f ) )
|
|
{
|
|
if( x )
|
|
*x = (int) x1;
|
|
if( y )
|
|
*y = (int) y1;
|
|
if( d )
|
|
*d = 0.0;
|
|
return true;
|
|
}
|
|
}
|
|
}
|
|
else if( y2i == y2f )
|
|
{
|
|
// second segment horizontal, first oblique
|
|
// get a and b for second line segment, so that y = a + bx;
|
|
b = (double)(y1f-y1i)/(x1f-x1i);
|
|
a = (double)y1i - b*x1i;
|
|
double x1, y1, x2, y2;
|
|
int test = FindLineSegmentIntersection( a, b, x2i, y2i, x2f, y2f, CPolyLine::STRAIGHT,
|
|
&x1, &y1, &x2, &y2 );
|
|
if( test )
|
|
{
|
|
if( InRange( x1, x1i, x1f ) && InRange( y1, y1i, y1f ) )
|
|
{
|
|
if( x )
|
|
*x = (int) x1;
|
|
if( y )
|
|
*y = (int) y1;
|
|
if( d )
|
|
*d = 0.0;
|
|
return true;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
// both segments oblique
|
|
if( (long)(y1f-y1i)*(x2f-x2i) != (long)(y2f-y2i)*(x1f-x1i) )
|
|
{
|
|
// not parallel, get a and b for first line segment, so that y = a + bx;
|
|
b = (double)(y1f-y1i)/(x1f-x1i);
|
|
a = (double)y1i - b*x1i;
|
|
double x1, y1, x2, y2;
|
|
int test = FindLineSegmentIntersection( a, b, x2i, y2i, x2f, y2f, CPolyLine::STRAIGHT,
|
|
&x1, &y1, &x2, &y2 );
|
|
// both segments oblique
|
|
if( test )
|
|
{
|
|
if( InRange( x1, x1i, x1f ) && InRange( y1, y1i, y1f ) )
|
|
{
|
|
if( x )
|
|
*x = (int) x1;
|
|
if( y )
|
|
*y = (int) y1;
|
|
if( d )
|
|
*d = 0.0;
|
|
return true;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
// don't intersect, get shortest distance between each endpoint and the other line segment
|
|
dist = GetPointToLineSegmentDistance( x1i, y1i, x2i, y2i, x2f, y2f );
|
|
double xx = x1i;
|
|
double yy = y1i;
|
|
double dd = GetPointToLineSegmentDistance( x1f, y1f, x2i, y2i, x2f, y2f );
|
|
if( dd < dist )
|
|
{
|
|
dist = dd;
|
|
xx = x1f;
|
|
yy = y1f;
|
|
}
|
|
dd = GetPointToLineSegmentDistance( x2i, y2i, x1i, y1i, x1f, y1f );
|
|
if( dd < dist )
|
|
{
|
|
dist = dd;
|
|
xx = x2i;
|
|
yy = y2i;
|
|
}
|
|
dd = GetPointToLineSegmentDistance( x2f, y2f, x1i, y1i, x1f, y1f );
|
|
if( dd < dist )
|
|
{
|
|
dist = dd;
|
|
xx = x2f;
|
|
yy = y2f;
|
|
}
|
|
if( x )
|
|
*x = (int) xx;
|
|
if( y )
|
|
*y = (int) yy;
|
|
if( d )
|
|
*d = dist;
|
|
return false;
|
|
}
|
|
|
|
|
|
/*solves the Quadratic equation = a*x*x + b*x + c
|
|
*/
|
|
bool Quadratic( double a, double b, double c, double *x1, double *x2 )
|
|
{
|
|
double root = b*b - 4.0*a*c;
|
|
if( root < 0.0 )
|
|
return false;
|
|
root = sqrt( root );
|
|
*x1 = (-b+root)/(2.0*a);
|
|
*x2 = (-b-root)/(2.0*a);
|
|
return true;
|
|
}
|
|
|
|
// finds intersections of vertical line at x
|
|
// with ellipse defined by (x^2)/(a^2) + (y^2)/(b^2) = 1;
|
|
// returns true if solution exist, with solutions in y1 and y2
|
|
// else returns false
|
|
//
|
|
bool FindVerticalLineEllipseIntersections( double a, double b, double x, double *y1, double *y2 )
|
|
{
|
|
double y_sqr = (1.0-(x*x)/(a*a))*b*b;
|
|
if( y_sqr < 0.0 )
|
|
return false;
|
|
*y1 = sqrt(y_sqr);
|
|
*y2 = -*y1;
|
|
return true;
|
|
}
|
|
|
|
// finds intersections of straight line y = c + dx
|
|
// with ellipse defined by (x^2)/(a^2) + (y^2)/(b^2) = 1;
|
|
// returns true if solution exist, with solutions in x1 and x2
|
|
// else returns false
|
|
//
|
|
bool FindLineEllipseIntersections( double a, double b, double c, double d, double *x1, double *x2 )
|
|
{
|
|
// quadratic terms
|
|
double A = d*d+b*b/(a*a);
|
|
double B = 2.0*c*d;
|
|
double C = c*c-b*b;
|
|
return Quadratic( A, B, C, x1, x2 );
|
|
}
|
|
|
|
|
|
// Get clearance between 2 segments
|
|
// Returns point in segment closest to other segment in x, y
|
|
// in clearance > max_cl, just returns max_cl and doesn't return x,y
|
|
//
|
|
int GetClearanceBetweenSegments( int x1i, int y1i, int x1f, int y1f, int style1, int w1,
|
|
int x2i, int y2i, int x2f, int y2f, int style2, int w2,
|
|
int max_cl, int * x, int * y )
|
|
{
|
|
// check clearance between bounding rectangles
|
|
int test = max_cl + w1/2 + w2/2;
|
|
if( min(x1i,x1f)-max(x2i,x2f) > test )
|
|
return max_cl;
|
|
if( min(x2i,x2f)-max(x1i,x1f) > test )
|
|
return max_cl;
|
|
if( min(y1i,y1f)-max(y2i,y2f) > test )
|
|
return max_cl;
|
|
if( min(y2i,y2f)-max(y1i,y1f) > test )
|
|
return max_cl;
|
|
|
|
if( style1 == CPolyLine::STRAIGHT && style1 == CPolyLine::STRAIGHT )
|
|
{
|
|
// both segments are straight lines
|
|
int xx, yy;
|
|
double dd;
|
|
TestForIntersectionOfStraightLineSegments( x1i, y1i, x1f, y1f,
|
|
x2i, y2i, x2f, y2f, &xx, &yy, &dd );
|
|
int d = max( 0, (int)dd - w1/2 - w2/2 );
|
|
if( x )
|
|
*x = xx;
|
|
if( y )
|
|
*y = yy;
|
|
return d;
|
|
}
|
|
|
|
// not both straight-line segments
|
|
// see if segments intersect
|
|
double xr[2];
|
|
double yr[2];
|
|
test = FindSegmentIntersections( x1i, y1i, x1f, y1f, style1, x2i, y2i, x2f, y2f, style2, xr, yr );
|
|
if( test )
|
|
{
|
|
if( x )
|
|
*x = (int) xr[0];
|
|
if( y )
|
|
*y = (int) yr[0];
|
|
return 0;
|
|
}
|
|
|
|
// at least one segment is an arc
|
|
EllipseKH el1;
|
|
EllipseKH el2;
|
|
bool bArcs;
|
|
int xi=0, yi=0, xf=0, yf=0;
|
|
if( style2 == CPolyLine::STRAIGHT )
|
|
{
|
|
// style1 = arc, style2 = straight
|
|
MakeEllipseFromArc( x1i, y1i, x1f, y1f, style1, &el1 );
|
|
xi = x2i;
|
|
yi = y2i;
|
|
xf = x2f;
|
|
yf = y2f;
|
|
bArcs = false;
|
|
}
|
|
else if( style1 == CPolyLine::STRAIGHT )
|
|
{
|
|
// style2 = arc, style1 = straight
|
|
xi = x1i;
|
|
yi = y1i;
|
|
xf = x1f;
|
|
yf = y1f;
|
|
MakeEllipseFromArc( x2i, y2i, x2f, y2f, style2, &el1 );
|
|
bArcs = false;
|
|
}
|
|
else
|
|
{
|
|
// style1 = arc, style2 = arc
|
|
MakeEllipseFromArc( x1i, y1i, x1f, y1f, style1, &el1 );
|
|
MakeEllipseFromArc( x2i, y2i, x2f, y2f, style2, &el2 );
|
|
bArcs = true;
|
|
}
|
|
const int NSTEPS = 32;
|
|
|
|
if( el1.theta2 > el1.theta1 )
|
|
{
|
|
wxASSERT(0);
|
|
}
|
|
if( bArcs && el2.theta2 > el2.theta1 )
|
|
{
|
|
wxASSERT(0);
|
|
}
|
|
|
|
// test multiple points in both segments
|
|
double th1;
|
|
double th2;
|
|
double len2;
|
|
if( bArcs )
|
|
{
|
|
th1 = el2.theta1;
|
|
th2 = el2.theta2;
|
|
len2 = max(el2.xrad, el2.yrad);
|
|
}
|
|
else
|
|
{
|
|
th1 = 1.0;
|
|
th2 = 0.0;
|
|
len2 = abs(xf-xi)+abs(yf-yi);
|
|
}
|
|
double s_start = el1.theta1;
|
|
double s_end = el1.theta2;
|
|
double s_start2 = th1;
|
|
double s_end2 = th2;
|
|
double dmin = DBL_MAX;
|
|
double xmin = 0, ymin = 0, smin = 0, smin2 = 0; // Init made to avoid C compil warnings
|
|
|
|
int nsteps = NSTEPS;
|
|
int nsteps2 = NSTEPS;
|
|
double step = (s_start-s_end)/(nsteps-1);
|
|
double step2 = (s_start2-s_end2)/(nsteps2-1);
|
|
while( (step * max(el1.xrad, el1.yrad)) > 0.1*NM_PER_MIL
|
|
&& (step2 * len2) > 0.1*NM_PER_MIL )
|
|
{
|
|
step = (s_start-s_end)/(nsteps-1);
|
|
for( int i=0; i<nsteps; i++ )
|
|
{
|
|
double s;
|
|
if( i < nsteps-1 )
|
|
s = s_start - i*step;
|
|
else
|
|
s = s_end;
|
|
double x = el1.Center.X + el1.xrad*cos(s);
|
|
double y = el1.Center.Y + el1.yrad*sin(s);
|
|
// if not an arc, use s2 as fractional distance along line
|
|
step2 = (s_start2-s_end2)/(nsteps2-1);
|
|
for( int i2=0; i2<nsteps2; i2++ )
|
|
{
|
|
double s2;
|
|
if( i2 < nsteps2-1 )
|
|
s2 = s_start2 - i2*step2;
|
|
else
|
|
s2 = s_end2;
|
|
double x2, y2;
|
|
if( !bArcs )
|
|
{
|
|
x2 = xi + (xf-xi)*s2;
|
|
y2 = yi + (yf-yi)*s2;
|
|
}
|
|
else
|
|
{
|
|
x2 = el2.Center.X + el2.xrad*cos(s2);
|
|
y2 = el2.Center.Y + el2.yrad*sin(s2);
|
|
}
|
|
double d = Distance( (int) x, (int) y, (int) x2, (int) y2 );
|
|
if( d < dmin )
|
|
{
|
|
dmin = d;
|
|
xmin = x;
|
|
ymin = y;
|
|
smin = s;
|
|
smin2 = s2;
|
|
}
|
|
}
|
|
}
|
|
if( step > step2 )
|
|
{
|
|
s_start = min(el1.theta1, smin + step);
|
|
s_end = max(el1.theta2, smin - step);
|
|
step = (s_start - s_end)/nsteps;
|
|
}
|
|
else
|
|
{
|
|
s_start2 = min(th1, smin2 + step2);
|
|
s_end2 = max(th2, smin2 - step2);
|
|
step2 = (s_start2 - s_end2)/nsteps2;
|
|
}
|
|
}
|
|
if( x )
|
|
*x = (int) xmin;
|
|
if( y )
|
|
*y = (int) ymin;
|
|
return max(0, (int)dmin-w1/2-w2/2); // allow for widths
|
|
}
|
|
|
|
|
|
// Get min. distance from (x,y) to line y = a + bx
|
|
// if b > DBL_MAX/10, assume vertical line at x = a
|
|
// returns closest point on line in xp, yp
|
|
//
|
|
double GetPointToLineDistance( double a, double b, int x, int y, double * xpp, double * ypp )
|
|
{
|
|
if( b > DBL_MAX/10 )
|
|
{
|
|
// vertical line
|
|
if( xpp && ypp )
|
|
{
|
|
*xpp = a;
|
|
*ypp = y;
|
|
}
|
|
return abs(a-x);
|
|
}
|
|
// find c,d such that (x,y) lies on y = c + dx where d=(-1/b)
|
|
double d = -1.0/b;
|
|
double c = (double)y-d*x;
|
|
// find nearest point to (x,y) on line through (xi,yi) to (xf,yf)
|
|
double xp = (a-c)/(d-b);
|
|
double yp = a + b*xp;
|
|
if( xpp && ypp )
|
|
{
|
|
*xpp = xp;
|
|
*ypp = yp;
|
|
}
|
|
// find distance
|
|
return Distance( x, y, (int) xp, (int) yp );
|
|
}
|
|
|
|
/***********************************************************************************/
|
|
double GetPointToLineSegmentDistance( int x, int y, int xi, int yi, int xf, int yf )
|
|
/***********************************************************************************/
|
|
/**
|
|
* Function GetPointToLineSegmentDistance
|
|
* Get distance between line segment and point
|
|
* @param x,y = point
|
|
* @param xi,yi Start point of the line segament
|
|
* @param xf,yf End point of the line segment
|
|
* @return the distance
|
|
*/
|
|
{
|
|
// test for vertical or horizontal segment
|
|
if( xf==xi )
|
|
{
|
|
// vertical line segment
|
|
if( InRange( y, yi, yf ) )
|
|
return abs( x - xi );
|
|
else
|
|
return min( Distance( x, y, xi, yi ), Distance( x, y, xf, yf ) );
|
|
}
|
|
else if( yf==yi )
|
|
{
|
|
// horizontal line segment
|
|
if( InRange( x, xi, xf ) )
|
|
return abs( y - yi );
|
|
else
|
|
return min( Distance( x, y, xi, yi ), Distance( x, y, xf, yf ) );
|
|
}
|
|
else
|
|
{
|
|
// oblique segment
|
|
// find a,b such that (xi,yi) and (xf,yf) lie on y = a + bx
|
|
double b = (double)(yf-yi)/(xf-xi);
|
|
double a = (double)yi-b*xi;
|
|
// find c,d such that (x,y) lies on y = c + dx where d=(-1/b)
|
|
double d = -1.0/b;
|
|
double c = (double)y-d*x;
|
|
// find nearest point to (x,y) on line through (xi,yi) to (xf,yf)
|
|
double xp = (a-c)/(d-b);
|
|
double yp = a + b*xp;
|
|
// find distance
|
|
if( InRange( xp, xi, xf ) && InRange( yp, yi, yf ) )
|
|
return Distance( x, y, (int) xp, (int) yp );
|
|
else
|
|
return min( Distance( x, y, xi, yi ), Distance( x, y, xf, yf ) );
|
|
}
|
|
}
|
|
|
|
// test for value within range
|
|
//
|
|
bool InRange( double x, double xi, double xf )
|
|
{
|
|
if( xf>xi )
|
|
{
|
|
if( x >= xi && x <= xf )
|
|
return true;
|
|
}
|
|
else
|
|
{
|
|
if( x >= xf && x <= xi )
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
// Get distance between 2 points
|
|
//
|
|
double Distance( int x1, int y1, int x2, int y2 )
|
|
{
|
|
double d;
|
|
d = sqrt( (double)(x1-x2)*(x1-x2) + (double)(y1-y2)*(y1-y2) );
|
|
if( d > INT_MAX || d < INT_MIN )
|
|
{
|
|
wxASSERT(0);
|
|
}
|
|
return (int)d;
|
|
}
|
|
|
|
// this finds approximate solutions
|
|
// note: this works best if el2 is smaller than el1
|
|
//
|
|
int GetArcIntersections( EllipseKH * el1, EllipseKH * el2,
|
|
double * x1, double * y1, double * x2, double * y2 )
|
|
{
|
|
if( el1->theta2 > el1->theta1 )
|
|
{
|
|
wxASSERT(0);
|
|
}
|
|
if( el2->theta2 > el2->theta1 )
|
|
{
|
|
wxASSERT(0);
|
|
}
|
|
|
|
const int NSTEPS = 32;
|
|
double xret[2], yret[2];
|
|
|
|
double xscale = 1.0/el1->xrad;
|
|
double yscale = 1.0/el1->yrad;
|
|
// now transform params of second ellipse into reference frame
|
|
// with origin at center if first ellipse,
|
|
// scaled so the first ellipse is a circle of radius = 1.0
|
|
double xo = (el2->Center.X - el1->Center.X)*xscale;
|
|
double yo = (el2->Center.Y - el1->Center.Y)*yscale;
|
|
double xr = el2->xrad*xscale;
|
|
double yr = el2->yrad*yscale;
|
|
// now test NSTEPS positions in arc, moving clockwise (ie. decreasing theta)
|
|
double step = M_PI/((NSTEPS-1)*2.0);
|
|
double d_prev=0;
|
|
double th_interp;
|
|
double th1;
|
|
int n = 0;
|
|
for( int i=0; i<NSTEPS; i++ )
|
|
{
|
|
double theta;
|
|
if( i < NSTEPS-1 )
|
|
theta = el2->theta1 - i*step;
|
|
else
|
|
theta = el2->theta2;
|
|
double x = xo + xr*cos(theta);
|
|
double y = yo + yr*sin(theta);
|
|
double d = 1.0 - sqrt(x*x + y*y);
|
|
if( i>0 )
|
|
{
|
|
bool bInt = false;
|
|
if( d >= 0.0 && d_prev <= 0.0 )
|
|
{
|
|
th_interp = theta + (step*(-d_prev))/(d-d_prev);
|
|
bInt = true;
|
|
}
|
|
else if( d <= 0.0 && d_prev >= 0.0 )
|
|
{
|
|
th_interp = theta + (step*d_prev)/(d_prev-d);
|
|
bInt = true;
|
|
}
|
|
if( bInt )
|
|
{
|
|
x = xo + xr*cos(th_interp);
|
|
y = yo + yr*sin(th_interp);
|
|
th1 = atan2( y, x );
|
|
if( th1 <= el1->theta1 && th1 >= el1->theta2 )
|
|
{
|
|
xret[n] = x*el1->xrad + el1->Center.X;
|
|
yret[n] = y*el1->yrad + el1->Center.Y;
|
|
n++;
|
|
if( n > 2 )
|
|
{
|
|
wxASSERT(0);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
d_prev = d;
|
|
}
|
|
if( x1 )
|
|
*x1 = xret[0];
|
|
if( y1 )
|
|
*y1 = yret[0];
|
|
if( x2 )
|
|
*x2 = xret[1];
|
|
if( y2 )
|
|
*y2 = yret[1];
|
|
return n;
|
|
}
|
|
|
|
// this finds approximate solution
|
|
//
|
|
//double GetSegmentClearance( EllipseKH * el1, EllipseKH * el2,
|
|
double GetArcClearance( EllipseKH * el1, EllipseKH * el2,
|
|
double * x1, double * y1 )
|
|
{
|
|
const int NSTEPS = 32;
|
|
|
|
if( el1->theta2 > el1->theta1 )
|
|
{
|
|
wxASSERT(0);
|
|
}
|
|
if( el2->theta2 > el2->theta1 )
|
|
{
|
|
wxASSERT(0);
|
|
}
|
|
|
|
// test multiple positions in both arcs, moving clockwise (ie. decreasing theta)
|
|
double th_start = el1->theta1;
|
|
double th_end = el1->theta2;
|
|
double th_start2 = el2->theta1;
|
|
double th_end2 = el2->theta2;
|
|
double dmin = DBL_MAX;
|
|
double xmin=0, ymin=0, thmin=0, thmin2=0;
|
|
|
|
int nsteps = NSTEPS;
|
|
int nsteps2 = NSTEPS;
|
|
double step = (th_start-th_end)/(nsteps-1);
|
|
double step2 = (th_start2-th_end2)/(nsteps2-1);
|
|
while( (step * max(el1->xrad, el1->yrad)) > 1.0*NM_PER_MIL
|
|
&& (step2 * max(el2->xrad, el2->yrad)) > 1.0*NM_PER_MIL )
|
|
{
|
|
step = (th_start-th_end)/(nsteps-1);
|
|
for( int i=0; i<nsteps; i++ )
|
|
{
|
|
double theta;
|
|
if( i < nsteps-1 )
|
|
theta = th_start - i*step;
|
|
else
|
|
theta = th_end;
|
|
double x = el1->Center.X + el1->xrad*cos(theta);
|
|
double y = el1->Center.Y + el1->yrad*sin(theta);
|
|
step2 = (th_start2-th_end2)/(nsteps2-1);
|
|
for( int i2=0; i2<nsteps2; i2++ )
|
|
{
|
|
double theta2;
|
|
if( i2 < nsteps2-1 )
|
|
theta2 = th_start2 - i2*step2;
|
|
else
|
|
theta2 = th_end2;
|
|
double x2 = el2->Center.X + el2->xrad*cos(theta2);
|
|
double y2 = el2->Center.Y + el2->yrad*sin(theta2);
|
|
double d = Distance( (int) x, (int) y, (int) x2, (int) y2 );
|
|
if( d < dmin )
|
|
{
|
|
dmin = d;
|
|
xmin = x;
|
|
ymin = y;
|
|
thmin = theta;
|
|
thmin2 = theta2;
|
|
}
|
|
}
|
|
}
|
|
if( step > step2 )
|
|
{
|
|
th_start = min(el1->theta1, thmin + step);
|
|
th_end = max(el1->theta2, thmin - step);
|
|
step = (th_start - th_end)/nsteps;
|
|
}
|
|
else
|
|
{
|
|
th_start2 = min(el2->theta1, thmin2 + step2);
|
|
th_end2 = max(el2->theta2, thmin2 - step2);
|
|
step2 = (th_start2 - th_end2)/nsteps2;
|
|
}
|
|
}
|
|
if( x1 )
|
|
*x1 = xmin;
|
|
if( y1 )
|
|
*y1 = ymin;
|
|
return dmin;
|
|
}
|