2007-12-29 19:27:58 +00:00
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// math for graphics utility routines, from FreePCB
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using namespace std;
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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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2008-01-17 16:09:00 +00:00
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#include "fctsys.h"
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2007-12-29 19:27:58 +00:00
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#include "defs-macros.h"
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#include "PolyLine2Kicad.h"
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#include "freepcb_ids.h"
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#include "PolyLine.h"
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// function to find inflection-pont to create a "dogleg" of two straight-line segments
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// where one segment is vertical or horizontal and the other is at 45 degrees or 90 degrees
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// enter with:
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// pi = start point
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// pf = end point
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// mode = IM_90_45 or IM_45_90 or IM_90
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//
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CPoint GetInflectionPoint( CPoint pi, CPoint pf, int mode )
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{
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CPoint p = pi;
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if( mode == IM_NONE )
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return p;
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int dx = pf.x - pi.x;
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int dy = pf.y - pi.y;
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if( dx == 0 || dy == 0 || abs(dx) == abs(dy) )
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{
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// only one segment needed
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}
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else
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{
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if( abs(dy) > abs(dx) )
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{
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// vertical > horizontal
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if( mode == IM_90 )
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{
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p.x = pi.x;
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p.y = pf.y;
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}
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else if( mode == IM_45_90 || mode == IM_90_45 )
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{
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int vert; // length of vertical line needed
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if( dy > 0 )
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vert = dy - abs(dx); // positive
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else
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vert = dy + abs(dx); // negative
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if( mode == IM_90_45 )
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p.y = pi.y + vert;
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else if( mode == IM_45_90 )
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{
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p.y = pf.y - vert;
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p.x = pf.x;
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}
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}
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else
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2008-01-17 16:09:00 +00:00
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wxASSERT(0);
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2007-12-29 19:27:58 +00:00
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}
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else
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{
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// horizontal > vertical
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if( mode == IM_90 )
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{
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p.x = pf.x;
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p.y = pi.y;
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}
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else if( mode == IM_45_90 || mode == IM_90_45 )
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{
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int hor; // length of horizontal line needed
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if( dx > 0 )
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hor = dx - abs(dy); // positive
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else
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hor = dx + abs(dy); // negative
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if( mode == IM_90_45 )
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p.x = pi.x + hor;
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else if( mode == IM_45_90 )
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{
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p.x = pf.x - hor;
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p.y = pf.y;
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}
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}
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else
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2008-01-17 16:09:00 +00:00
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wxASSERT(0);
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2007-12-29 19:27:58 +00:00
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}
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}
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return p;
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}
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//
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// function to rotate a point clockwise about another point
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// currently, angle must be 0, 90, 180 or 270
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//
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void RotatePoint( CPoint *p, int angle, CPoint org )
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{
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if( angle == 90 )
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{
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int tempy = org.y + (org.x - p->x);
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p->x = org.x + (p->y - org.y);
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p->y = tempy;
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}
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else if( angle > 90 )
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{
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for( int i=0; i<(angle/90); i++ )
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RotatePoint( p, 90, org );
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}
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}
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// function to rotate a rectangle clockwise about a point
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// angle must be 0, 90, 180 or 270
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// on exit, r->top > r.bottom, r.right > r.left
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//
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void RotateRect( CRect *r, int angle, CPoint org )
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{
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CRect tr;
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if( angle == 90 )
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{
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tr.left = org.x + (r->bottom - org.y);
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tr.right = org.x + (r->top - org.y);
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tr.top = org.y + (org.x - r->right);
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tr.bottom = org.y + (org.x - r->left);
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if( tr.left > tr.right )
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{
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int temp = tr.right;
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tr.left = tr.right;
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tr.left = temp;
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}
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if( tr.left > tr.right )
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{
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int temp = tr.right;
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tr.left = tr.right;
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tr.left = temp;
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}
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if( tr.bottom > tr.top )
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{
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int temp = tr.bottom;
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tr.bottom = tr.top;
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tr.top = temp;
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}
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}
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else if( angle > 90 )
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{
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tr = *r;
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for( int i=0; i<(angle/90); i++ )
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RotateRect( &tr, 90, org );
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}
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*r = tr;
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}
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// test for hit on line segment
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// i.e. cursor within a given distance from segment
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// enter with: x,y = cursor coords
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// (xi,yi) and (xf,yf) are the end-points of the line segment
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// dist = maximum distance for hit
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//
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int 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 1;
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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 1;
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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 1;
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}
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}
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return 0; // no hit
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}
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// find intersection between y = a + bx and y = c + dx;
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//
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int FindLineIntersection( double a, double b, double c, double d, double * x, double * y )
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{
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*x = (c-a)/(b-d);
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*y = a + b*(*x);
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return 0;
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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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2008-02-01 11:01:32 +00:00
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double xo=0, yo=0;
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2007-12-29 19:27:58 +00:00
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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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}
|
|
|
|
|
|
|
|
|
|
if( style == CPolyLine::STRAIGHT && style2 == CPolyLine::STRAIGHT )
|
|
|
|
|
{
|
|
|
|
|
// both straight-line segments
|
|
|
|
|
int x, y;
|
|
|
|
|
bool bYes = TestForIntersectionOfStraightLineSegments( xi, yi, xf, yf, xi2, yi2, xf2, yf2, &x, &y );
|
|
|
|
|
if( !bYes )
|
|
|
|
|
return 0;
|
|
|
|
|
xr[0] = x;
|
|
|
|
|
yr[0] = y;
|
|
|
|
|
iret = 1;
|
|
|
|
|
}
|
|
|
|
|
else if( style == CPolyLine::STRAIGHT )
|
|
|
|
|
{
|
|
|
|
|
// first segment is straight, second segment is an arc
|
|
|
|
|
int ret;
|
|
|
|
|
double x1r, y1r, x2r, y2r;
|
|
|
|
|
if( xf == xi )
|
|
|
|
|
{
|
|
|
|
|
// vertical first segment
|
|
|
|
|
double a = xi;
|
|
|
|
|
double b = DBL_MAX/2.0;
|
|
|
|
|
ret = FindLineSegmentIntersection( a, b, xi2, yi2, xf2, yf2, style2,
|
|
|
|
|
&x1r, &y1r, &x2r, &y2r );
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
double b = (double)(yf-yi)/(double)(xf-xi);
|
|
|
|
|
double a = yf - b*xf;
|
|
|
|
|
ret = FindLineSegmentIntersection( a, b, xi2, yi2, xf2, yf2, style2,
|
|
|
|
|
&x1r, &y1r, &x2r, &y2r );
|
|
|
|
|
}
|
|
|
|
|
if( ret == 0 )
|
|
|
|
|
return 0;
|
|
|
|
|
if( InRange( x1r, xi, xf ) && InRange( y1r, yi, yf ) )
|
|
|
|
|
{
|
|
|
|
|
xr[iret] = x1r;
|
|
|
|
|
yr[iret] = y1r;
|
|
|
|
|
iret++;
|
|
|
|
|
}
|
|
|
|
|
if( ret == 2 )
|
|
|
|
|
{
|
|
|
|
|
if( InRange( x2r, xi, xf ) && InRange( y2r, yi, yf ) )
|
|
|
|
|
{
|
|
|
|
|
xr[iret] = x2r;
|
|
|
|
|
yr[iret] = y2r;
|
|
|
|
|
iret++;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
else if( style2 == CPolyLine::STRAIGHT )
|
|
|
|
|
{
|
|
|
|
|
// first segment is an arc, second segment is straight
|
|
|
|
|
int ret;
|
|
|
|
|
double x1r, y1r, x2r, y2r;
|
|
|
|
|
if( xf2 == xi2 )
|
|
|
|
|
{
|
|
|
|
|
// vertical second segment
|
|
|
|
|
double a = xi2;
|
|
|
|
|
double b = DBL_MAX/2.0;
|
|
|
|
|
ret = FindLineSegmentIntersection( a, b, xi, yi, xf, yf, style,
|
|
|
|
|
&x1r, &y1r, &x2r, &y2r );
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
double b = (double)(yf2-yi2)/(double)(xf2-xi2);
|
|
|
|
|
double a = yf2 - b*xf2;
|
|
|
|
|
ret = FindLineSegmentIntersection( a, b, xi, yi, xf, yf, style,
|
|
|
|
|
&x1r, &y1r, &x2r, &y2r );
|
|
|
|
|
}
|
|
|
|
|
if( ret == 0 )
|
|
|
|
|
return 0;
|
|
|
|
|
if( InRange( x1r, xi2, xf2 ) && InRange( y1r, yi2, yf2 ) )
|
|
|
|
|
{
|
|
|
|
|
xr[iret] = x1r;
|
|
|
|
|
yr[iret] = y1r;
|
|
|
|
|
iret++;
|
|
|
|
|
}
|
|
|
|
|
if( ret == 2 )
|
|
|
|
|
{
|
|
|
|
|
if( InRange( x2r, xi2, xf2 ) && InRange( y2r, yi2, yf2 ) )
|
|
|
|
|
{
|
|
|
|
|
xr[iret] = x2r;
|
|
|
|
|
yr[iret] = y2r;
|
|
|
|
|
iret++;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
// both segments are arcs
|
|
|
|
|
EllipseKH el1;
|
|
|
|
|
EllipseKH el2;
|
|
|
|
|
MakeEllipseFromArc( xi, yi, xf, yf, style, &el1 );
|
|
|
|
|
MakeEllipseFromArc( xi2, yi2, xf2, yf2, style2, &el2 );
|
|
|
|
|
int n;
|
|
|
|
|
if( el1.xrad+el1.yrad > el2.xrad+el2.yrad )
|
|
|
|
|
n = GetArcIntersections( &el1, &el2 );
|
|
|
|
|
else
|
|
|
|
|
n = GetArcIntersections( &el2, &el1 );
|
|
|
|
|
iret = n;
|
|
|
|
|
}
|
|
|
|
|
if( x && y )
|
|
|
|
|
{
|
|
|
|
|
for( int i=0; i<iret; i++ )
|
|
|
|
|
{
|
|
|
|
|
x[i] = xr[i];
|
|
|
|
|
y[i] = yr[i];
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
return iret;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// find intersection between line y = a + bx and line segment (xi,yi) to (xf,yf)
|
|
|
|
|
// if b > DBL_MAX/10, assume vertical line at x = a
|
|
|
|
|
// the line segment may be an arc (i.e. quadrant of an ellipse)
|
|
|
|
|
// return 0 if no intersection
|
|
|
|
|
// returns 1 or 2 if intersections found
|
|
|
|
|
// sets coords of intersections in *x1, *y1, *x2, *y2
|
|
|
|
|
// if no intersection, returns min distance in dist
|
|
|
|
|
//
|
|
|
|
|
int FindLineSegmentIntersection( double a, double b, int xi, int yi, int xf, int yf, int style,
|
|
|
|
|
double * x1, double * y1, double * x2, double * y2,
|
|
|
|
|
double * dist )
|
|
|
|
|
{
|
|
|
|
|
double xx, yy;
|
|
|
|
|
bool bVert = false;
|
|
|
|
|
if( b > DBL_MAX/10.0 )
|
|
|
|
|
bVert = true;
|
|
|
|
|
|
|
|
|
|
if( xf != xi )
|
|
|
|
|
{
|
|
|
|
|
// non-vertical segment, get intersection
|
|
|
|
|
if( style == CPolyLine::STRAIGHT || yf == yi )
|
|
|
|
|
{
|
|
|
|
|
// horizontal or oblique straight segment
|
|
|
|
|
// put into form y = c + dx;
|
|
|
|
|
double d = (double)(yf-yi)/(double)(xf-xi);
|
|
|
|
|
double c = yf - d*xf;
|
|
|
|
|
if( bVert )
|
|
|
|
|
{
|
|
|
|
|
// if vertical line, easy
|
|
|
|
|
if( InRange( a, xi, xf ) )
|
|
|
|
|
{
|
|
|
|
|
*x1 = a;
|
|
|
|
|
*y1 = c + d*a;
|
|
|
|
|
return 1;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
if( dist )
|
|
|
|
|
*dist = min( abs(a-xi), abs(a-xf) );
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
if( fabs(b-d) < 1E-12 )
|
|
|
|
|
{
|
|
|
|
|
// parallel lines
|
|
|
|
|
if( dist )
|
|
|
|
|
{
|
|
|
|
|
*dist = GetPointToLineDistance( a, b, xi, xf );
|
|
|
|
|
}
|
|
|
|
|
return 0; // lines parallel
|
|
|
|
|
}
|
|
|
|
|
// calculate intersection
|
|
|
|
|
xx = (c-a)/(b-d);
|
|
|
|
|
yy = a + b*(xx);
|
|
|
|
|
// see if intersection is within the line segment
|
|
|
|
|
if( yf == yi )
|
|
|
|
|
{
|
|
|
|
|
// horizontal line
|
|
|
|
|
if( (xx>=xi && xx>xf) || (xx<=xi && xx<xf) )
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
// oblique line
|
|
|
|
|
if( (xx>=xi && xx>xf) || (xx<=xi && xx<xf)
|
|
|
|
|
|| (yy>yi && yy>yf) || (yy<yi && yy<yf) )
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
else if( style == CPolyLine::ARC_CW || style == CPolyLine::ARC_CCW )
|
|
|
|
|
{
|
|
|
|
|
// arc (quadrant of ellipse)
|
|
|
|
|
// convert to clockwise arc
|
|
|
|
|
int xxi, xxf, yyi, yyf;
|
|
|
|
|
if( style == CPolyLine::ARC_CCW )
|
|
|
|
|
{
|
|
|
|
|
xxi = xf;
|
|
|
|
|
xxf = xi;
|
|
|
|
|
yyi = yf;
|
|
|
|
|
yyf = yi;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
xxi = xi;
|
|
|
|
|
xxf = xf;
|
|
|
|
|
yyi = yi;
|
|
|
|
|
yyf = yf;
|
|
|
|
|
}
|
|
|
|
|
// find center and radii of ellipse
|
|
|
|
|
double xo, yo, rx, ry;
|
|
|
|
|
if( xxf > xxi && yyf > yyi )
|
|
|
|
|
{
|
|
|
|
|
xo = xxf;
|
|
|
|
|
yo = yyi;
|
|
|
|
|
}
|
|
|
|
|
else if( xxf < xxi && yyf > yyi )
|
|
|
|
|
{
|
|
|
|
|
xo = xxi;
|
|
|
|
|
yo = yyf;
|
|
|
|
|
}
|
|
|
|
|
else if( xxf < xxi && yyf < yyi )
|
|
|
|
|
{
|
|
|
|
|
xo = xxf;
|
|
|
|
|
yo = yyi;
|
|
|
|
|
}
|
|
|
|
|
else if( xxf > xxi && yyf < yyi )
|
|
|
|
|
{
|
|
|
|
|
xo = xxi;
|
|
|
|
|
yo = yyf;
|
|
|
|
|
}
|
|
|
|
|
rx = fabs( (double)(xxi-xxf) );
|
|
|
|
|
ry = fabs( (double)(yyi-yyf) );
|
|
|
|
|
bool test;
|
|
|
|
|
double xx1, xx2, yy1, yy2, aa;
|
|
|
|
|
if( bVert )
|
|
|
|
|
{
|
|
|
|
|
// shift vertical line to coordinate system of ellipse
|
|
|
|
|
aa = a - xo;
|
|
|
|
|
test = FindVerticalLineEllipseIntersections( rx, ry, aa, &yy1, &yy2 );
|
|
|
|
|
if( !test )
|
|
|
|
|
return 0;
|
|
|
|
|
// shift back to PCB coordinates
|
|
|
|
|
yy1 += yo;
|
|
|
|
|
yy2 += yo;
|
|
|
|
|
xx1 = a;
|
|
|
|
|
xx2 = a;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
// shift line to coordinate system of ellipse
|
|
|
|
|
aa = a + b*xo - yo;
|
|
|
|
|
test = FindLineEllipseIntersections( rx, ry, aa, b, &xx1, &xx2 );
|
|
|
|
|
if( !test )
|
|
|
|
|
return 0;
|
|
|
|
|
// shift back to PCB coordinates
|
|
|
|
|
yy1 = aa + b*xx1;
|
|
|
|
|
xx1 += xo;
|
|
|
|
|
yy1 += yo;
|
|
|
|
|
yy2 = aa + b*xx2;
|
|
|
|
|
xx2 += xo;
|
|
|
|
|
yy2 += yo;
|
|
|
|
|
}
|
|
|
|
|
int npts = 0;
|
|
|
|
|
if( (xxf>xxi && xx1<xxf && xx1>xxi) || (xxf<xxi && xx1<xxi && xx1>xxf) )
|
|
|
|
|
{
|
|
|
|
|
if( (yyf>yyi && yy1<yyf && yy1>yyi) || (yyf<yyi && yy1<yyi && yy1>yyf) )
|
|
|
|
|
{
|
|
|
|
|
*x1 = xx1;
|
|
|
|
|
*y1 = yy1;
|
|
|
|
|
npts = 1;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
if( (xxf>xxi && xx2<xxf && xx2>xxi) || (xxf<xxi && xx2<xxi && xx2>xxf) )
|
|
|
|
|
{
|
|
|
|
|
if( (yyf>yyi && yy2<yyf && yy2>yyi) || (yyf<yyi && yy2<yyi && yy2>yyf) )
|
|
|
|
|
{
|
|
|
|
|
if( npts == 0 )
|
|
|
|
|
{
|
|
|
|
|
*x1 = xx2;
|
|
|
|
|
*y1 = yy2;
|
|
|
|
|
npts = 1;
|
|
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
*x2 = xx2;
|
|
|
|
|
*y2 = yy2;
|
|
|
|
|
npts = 2;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
return npts;
|
|
|
|
|
}
|
|
|
|
|
else
|
2008-01-17 16:09:00 +00:00
|
|
|
wxASSERT(0);
|
2007-12-29 19:27:58 +00:00
|
|
|
}
|
|
|
|
|
else
|
|
|
|
|
{
|
|
|
|
|
// vertical line segment
|
|
|
|
|
if( bVert )
|
|
|
|
|
return 0;
|
|
|
|
|
xx = xi;
|
|
|
|
|
yy = a + b*xx;
|
|
|
|
|
if( (yy>=yi && yy>yf) || (yy<=yi && yy<yf) )
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
*x1 = xx;
|
|
|
|
|
*y1 = yy;
|
|
|
|
|
return 1;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Test for intersection of line segments
|
|
|
|
|
// If lines are parallel, returns false
|
|
|
|
|
// If true, returns intersection coords in x, y
|
|
|
|
|
// if false, returns min. distance in dist (may be 0.0 if parallel)
|
|
|
|
|
// and coords on nearest point in one of the segments in (x,y)
|
|
|
|
|
//
|
|
|
|
|
bool TestForIntersectionOfStraightLineSegments( int x1i, int y1i, int x1f, int y1f,
|
|
|
|
|
int x2i, int y2i, int x2f, int y2f,
|
|
|
|
|
int * x, int * y, double * d )
|
|
|
|
|
{
|
|
|
|
|
double a, b, dist;
|
|
|
|
|
|
|
|
|
|
// first, test for intersection
|
|
|
|
|
if( x1i == x1f && x2i == x2f )
|
|
|
|
|
{
|
|
|
|
|
// both segments are vertical, can't intersect
|
|
|
|
|
}
|
|
|
|
|
else if( y1i == y1f && y2i == y2f )
|
|
|
|
|
{
|
|
|
|
|
// both segments are horizontal, can't intersect
|
|
|
|
|
}
|
|
|
|
|
else if( x1i == x1f && y2i == y2f )
|
|
|
|
|
{
|
|
|
|
|
// 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 = x1;
|
|
|
|
|
if( y )
|
|
|
|
|
*y = 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 = x1;
|
|
|
|
|
if( y )
|
|
|
|
|
*y = 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 = x1;
|
|
|
|
|
if( y )
|
|
|
|
|
*y = 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 = x1;
|
|
|
|
|
if( y )
|
|
|
|
|
*y = 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 = x1;
|
|
|
|
|
if( y )
|
|
|
|
|
*y = 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 = xx;
|
|
|
|
|
if( y )
|
|
|
|
|
*y = yy;
|
|
|
|
|
if( d )
|
|
|
|
|
*d = dist;
|
|
|
|
|
return false;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
// quicksort algorithm
|
|
|
|
|
// sorts array numbers[], also moves elements of another array index[]
|
|
|
|
|
//
|
|
|
|
|
#define Q3WAY
|
|
|
|
|
void quickSort(int numbers[], int index[], int array_size)
|
|
|
|
|
{
|
|
|
|
|
#ifdef Q3WAY
|
|
|
|
|
q_sort_3way(numbers, index, 0, array_size - 1);
|
|
|
|
|
#else
|
|
|
|
|
q_sort(numbers, index, 0, array_size - 1);
|
|
|
|
|
#endif
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// standard quicksort
|
|
|
|
|
//
|
|
|
|
|
void q_sort(int numbers[], int index[], int left, int right)
|
|
|
|
|
{
|
|
|
|
|
int pivot, pivot_index, l_hold, r_hold;
|
|
|
|
|
|
|
|
|
|
l_hold = left;
|
|
|
|
|
r_hold = right;
|
|
|
|
|
pivot = numbers[left];
|
|
|
|
|
pivot_index = index[left];
|
|
|
|
|
while (left < right)
|
|
|
|
|
{
|
|
|
|
|
while ((numbers[right] >= pivot) && (left < right))
|
|
|
|
|
right--;
|
|
|
|
|
if (left != right)
|
|
|
|
|
{
|
|
|
|
|
numbers[left] = numbers[right];
|
|
|
|
|
index[left] = index[right];
|
|
|
|
|
left++;
|
|
|
|
|
}
|
|
|
|
|
while ((numbers[left] <= pivot) && (left < right))
|
|
|
|
|
left++;
|
|
|
|
|
if (left != right)
|
|
|
|
|
{
|
|
|
|
|
numbers[right] = numbers[left];
|
|
|
|
|
index[right] = index[left];
|
|
|
|
|
right--;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
numbers[left] = pivot;
|
|
|
|
|
index[left] = pivot_index;
|
|
|
|
|
|
|
|
|
|
pivot = left;
|
|
|
|
|
left = l_hold;
|
|
|
|
|
right = r_hold;
|
|
|
|
|
if (left < pivot)
|
|
|
|
|
q_sort(numbers, index, left, pivot-1);
|
|
|
|
|
if (right > pivot)
|
|
|
|
|
q_sort(numbers, index, pivot+1, right);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// 3-way quicksort...useful where there are duplicate values
|
|
|
|
|
//
|
|
|
|
|
void q_sort_3way( int a[], int b[], int l, int r )
|
|
|
|
|
{
|
|
|
|
|
#define EXCH(i,j) {int temp=a[i]; a[i]=a[j]; a[j]=temp; temp=b[i]; b[i]=b[j]; b[j]=temp;}
|
|
|
|
|
|
|
|
|
|
int i = l - 1;
|
|
|
|
|
int j = r;
|
|
|
|
|
int p = l - 1;
|
|
|
|
|
int q = r;
|
|
|
|
|
int v = a[r];
|
|
|
|
|
|
|
|
|
|
if( r <= l )
|
|
|
|
|
return;
|
|
|
|
|
|
|
|
|
|
for(;;)
|
|
|
|
|
{
|
|
|
|
|
while( a[++i] < v );
|
|
|
|
|
while( v < a[--j] )
|
|
|
|
|
if( j == 1 )
|
|
|
|
|
break;
|
|
|
|
|
if( i >= j )
|
|
|
|
|
break;
|
|
|
|
|
EXCH( i, j );
|
|
|
|
|
if( a[i] == v )
|
|
|
|
|
{
|
|
|
|
|
p++;
|
|
|
|
|
EXCH( p, i );
|
|
|
|
|
}
|
|
|
|
|
if( v == a[j] )
|
|
|
|
|
{
|
|
|
|
|
q--;
|
|
|
|
|
EXCH( j, q );
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
EXCH( i, r );
|
|
|
|
|
j = i - 1;
|
|
|
|
|
i = i + 1;
|
|
|
|
|
for( int k=l; k<p; k++, j-- )
|
|
|
|
|
EXCH( k, j );
|
|
|
|
|
for( int k=r-1; k>q; k--, i++ )
|
|
|
|
|
EXCH( i, k );
|
|
|
|
|
q_sort_3way( a, b, l, j );
|
|
|
|
|
q_sort_3way( a, b, i, r );
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// solves quadratic equation
|
|
|
|
|
// i.e. ax**2 + bx + c = 0
|
|
|
|
|
// returns true if solution exist, with solutions in x1 and x2
|
|
|
|
|
// else returns false
|
|
|
|
|
//
|
|
|
|
|
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 );
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
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#if 0
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// draw a straight line or an arc between xi,yi and xf,yf
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//
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void DrawArc( CDC * pDC, int shape, int xxi, int yyi, int xxf, int yyf, bool bMeta )
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{
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int xi, yi, xf, yf;
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if( shape == DL_LINE || xxi == xxf || yyi == yyf )
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{
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// draw straight line
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pDC->MoveTo( xxi, yyi );
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pDC->LineTo( xxf, yyf );
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}
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else if( shape == DL_ARC_CCW || shape == DL_ARC_CW )
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{
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// set endpoints so we can always draw counter-clockwise arc
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if( shape == DL_ARC_CW )
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{
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xi = xxf;
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yi = yyf;
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xf = xxi;
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yf = yyi;
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}
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else
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{
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xi = xxi;
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yi = yyi;
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xf = xxf;
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yf = yyf;
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}
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pDC->MoveTo( xi, yi );
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if( xf > xi && yf > yi )
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{
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// quadrant 1
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int w = (xf-xi)*2;
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int h = (yf-yi)*2;
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if( !bMeta )
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pDC->Arc( xf-w, yi+h, xf, yi,
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xi, yi, xf, yf );
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else
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pDC->Arc( xf-w, yi, xf, yi+h,
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xf, yf, xi, yi );
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}
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else if( xf < xi && yf > yi )
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{
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// quadrant 2
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int w = -(xf-xi)*2;
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int h = (yf-yi)*2;
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if( !bMeta )
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pDC->Arc( xi-w, yf, xi, yf-h,
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xi, yi, xf, yf );
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else
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pDC->Arc( xi-w, yf-h, xi, yf,
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xf, yf, xi, yi );
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}
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else if( xf < xi && yf < yi )
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{
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// quadrant 3
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int w = -(xf-xi)*2;
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int h = -(yf-yi)*2;
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if( !bMeta )
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pDC->Arc( xf, yi, xf+w, yi-h,
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xi, yi, xf, yf );
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else
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pDC->Arc( xf, yi-h, xf+w, yi,
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xf, yf, xi, yi );
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}
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else if( xf > xi && yf < yi )
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{
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// quadrant 4
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int w = (xf-xi)*2;
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int h = -(yf-yi)*2;
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if( !bMeta )
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pDC->Arc( xi, yf+h, xi+w, yf,
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xi, yi, xf, yf );
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else
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pDC->Arc( xi, yf, xi+w, yf+h,
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xf, yf, xi, yi );
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}
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pDC->MoveTo( xxf, yyf );
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}
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else
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2008-01-17 16:09:00 +00:00
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wxASSERT(0); // oops
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2007-12-29 19:27:58 +00:00
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}
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#endif
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// Get arrays of circles, rects and line segments to represent pad
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// for purposes of drawing pad or calculating clearances
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// margins of circles and line segments represent pad outline
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// circles and rects are used to find points inside pad
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//
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void GetPadElements( int type, int x, int y, int wid, int len, int radius, int angle,
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int * nr, my_rect r[], int * nc, my_circle c[], int * ns, my_seg s[] )
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{
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*nc = 0;
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*nr = 0;
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*ns = 0;
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if( type == PAD_ROUND )
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{
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*nc = 1;
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c[0] = my_circle(x,y,wid/2);
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return;
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}
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if( type == PAD_SQUARE )
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{
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*nr = 1;
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r[0] = my_rect(x-wid/2, y-wid/2,x+wid/2, y+wid/2);
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*ns = 4;
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s[0] = my_seg(x-wid/2, y+wid/2,x+wid/2, y+wid/2); // top
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s[1] = my_seg(x-wid/2, y-wid/2,x+wid/2, y-wid/2); // bottom
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s[2] = my_seg(x-wid/2, y-wid/2,x-wid/2, y+wid/2); // left
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s[3] = my_seg(x+wid/2, y-wid/2,x+wid/2, y+wid/2); // right
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return;
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}
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if( type == PAD_OCTAGON )
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{
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const double pi = 3.14159265359;
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*nc = 1; // circle represents inside of polygon
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c[0] = my_circle(x, y, wid/2);
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*ns = 8; // now create sides of polygon
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double theta = pi/8.0;
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double radius = 0.5*(double)wid/cos(theta);
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double last_x = x + radius*cos(theta);
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double last_y = y + radius*sin(theta);
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for( int is=0; is<8; is++ )
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{
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theta += pi/4.0;
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double dx = x + radius*cos(theta);
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double dy = y + radius*sin(theta);
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s[is] = my_seg(last_x, last_y, x, y);
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last_x = dx;
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last_y = dy;
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}
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return;
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}
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//
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int h;
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int v;
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if( angle == 90 || angle == 270 )
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{
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h = wid;
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v = len;
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}
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else
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{
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v = wid;
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h = len;
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}
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if( type == PAD_RECT )
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{
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*nr = 1;
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r[0] = my_rect(x-h/2, y-v/2, x+h/2, y+v/2);
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*ns = 4;
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s[0] = my_seg(x-h/2, y+v/2,x+h/2, y+v/2); // top
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s[1] = my_seg(x-h/2, y-v/2,x+h/2, y-v/2); // bottom
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s[2] = my_seg(x-h/2, y-v/2,x-h/2, y+v/2); // left
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s[3] = my_seg(x+h/2, y-v/2,x+h/2, y+v/2); // right
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return;
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}
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if( type == PAD_RRECT )
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{
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*nc = 4;
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c[0] = my_circle(x-h/2+radius, y-v/2+radius, radius); // bottom left circle
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c[1] = my_circle(x+h/2-radius, y-v/2+radius, radius); // bottom right circle
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c[2] = my_circle(x-h/2+radius, y+v/2-radius, radius); // top left circle
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c[3] = my_circle(x+h/2-radius, y+v/2-radius, radius); // top right circle
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*ns = 4;
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s[0] = my_seg(x-h/2+radius, y+v/2, x+h/2-radius, y+v/2); // top
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s[1] = my_seg(x-h/2+radius, y-v/2, x+h/2-radius, y+v/2); // bottom
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s[2] = my_seg(x-h/2, y-v/2+radius, x-h/2, y+v/2-radius); // left
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s[3] = my_seg(x+h/2, y-v/2+radius, x+h/2, y+v/2-radius); // right
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return;
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}
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if( type == PAD_OVAL )
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{
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if( h > v )
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{
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// horizontal
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*nc = 2;
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c[0] = my_circle(x-h/2+v/2, y, v/2); // left circle
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c[1] = my_circle(x+h/2-v/2, y, v/2); // right circle
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*nr = 1;
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r[0] = my_rect(x-h/2+v/2, y-v/2, x+h/2-v/2, y+v/2);
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*ns = 2;
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s[0] = my_seg(x-h/2+v/2, y+v/2, x+h/2-v/2, y+v/2); // top
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s[1] = my_seg(x-h/2+v/2, y-v/2, x+h/2-v/2, y-v/2); // bottom
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}
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else
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{
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// vertical
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*nc = 2;
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c[0] = my_circle(x, y+v/2-h/2, h/2); // top circle
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c[1] = my_circle(x, y-v/2+h/2, h/2); // bottom circle
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*nr = 1;
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r[0] = my_rect(x-h/2, y-v/2+h/2, x+h/2, y+v/2-h/2);
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*ns = 2;
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s[0] = my_seg(x-h/2, y-v/2+h/2, x-h/2, y+v/2-h/2); // left
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s[1] = my_seg(x+h/2, y-v/2+h/2, x+h/2, y+v/2-h/2); // left
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}
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return;
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}
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2008-01-17 16:09:00 +00:00
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wxASSERT(0);
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2007-12-29 19:27:58 +00:00
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}
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// Find distance from a staright line segment to a pad
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//
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int GetClearanceBetweenSegmentAndPad( int x1, int y1, int x2, int y2, int w,
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int type, int x, int y, int wid, int len, int radius, int angle )
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{
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if( type == PAD_NONE )
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return INT_MAX;
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else
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{
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int nc, nr, ns;
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my_circle c[4];
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my_rect r[2];
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my_seg s[8];
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GetPadElements( type, x, y, wid, len, radius, angle,
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&nr, r, &nc, c, &ns, s );
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// first test for endpoints of line segment in rectangle
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for( int ir=0; ir<nr; ir++ )
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{
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if( x1 >= r[ir].xlo && x1 <= r[ir].xhi && y1 >= r[ir].ylo && y1 <= r[ir].yhi )
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return 0;
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if( x2 >= r[ir].xlo && x2 <= r[ir].xhi && y2 >= r[ir].ylo && y2 <= r[ir].yhi )
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return 0;
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}
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// now get distance from elements of pad outline
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int dist = INT_MAX;
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for( int ic=0; ic<nc; ic++ )
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{
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int d = GetPointToLineSegmentDistance( c[ic].x, c[ic].y, x1, y1, x2, y2 ) - c[ic].r - w/2;
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dist = min(dist,d);
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}
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for( int is=0; is<ns; is++ )
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{
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double d;
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TestForIntersectionOfStraightLineSegments( s[is].xi, s[is].yi, s[is].xf, s[is].yf,
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x1, y1, x2, y2, NULL, NULL, &d );
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d -= w/2;
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dist = min(dist,d);
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}
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return max(0,dist);
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}
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}
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// Get clearance between 2 segments
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// Returns point in segment closest to other segment in x, y
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// in clearance > max_cl, just returns max_cl and doesn't return x,y
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//
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int GetClearanceBetweenSegments( int x1i, int y1i, int x1f, int y1f, int style1, int w1,
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int x2i, int y2i, int x2f, int y2f, int style2, int w2,
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int max_cl, int * x, int * y )
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{
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// check clearance between bounding rectangles
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int test = max_cl + w1/2 + w2/2;
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if( min(x1i,x1f)-max(x2i,x2f) > test )
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return max_cl;
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if( min(x2i,x2f)-max(x1i,x1f) > test )
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return max_cl;
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if( min(y1i,y1f)-max(y2i,y2f) > test )
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return max_cl;
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if( min(y2i,y2f)-max(y1i,y1f) > test )
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return max_cl;
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if( style1 == CPolyLine::STRAIGHT && style1 == CPolyLine::STRAIGHT )
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{
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// both segments are straight lines
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int xx, yy;
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double dd;
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TestForIntersectionOfStraightLineSegments( x1i, y1i, x1f, y1f,
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x2i, y2i, x2f, y2f, &xx, &yy, &dd );
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int d = max( 0, dd - w1/2 - w2/2 );
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if( x )
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*x = xx;
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if( y )
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*y = yy;
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return d;
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}
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// not both straight-line segments
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// see if segments intersect
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double xr[2];
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double yr[2];
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test = FindSegmentIntersections( x1i, y1i, x1f, y1f, style1, x2i, y2i, x2f, y2f, style2, xr, yr );
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if( test )
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{
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if( x )
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*x = xr[0];
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if( y )
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*y = yr[0];
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return 0.0;
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}
|
|
|
|
|
|
|
|
|
|
// at least one segment is an arc
|
|
|
|
|
EllipseKH el1;
|
|
|
|
|
EllipseKH el2;
|
|
|
|
|
bool bArcs;
|
2008-02-01 11:01:32 +00:00
|
|
|
int xi=0, yi=0, xf=0, yf=0;
|
2007-12-29 19:27:58 +00:00
|
|
|
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 )
|
2008-01-17 16:09:00 +00:00
|
|
|
wxASSERT(0);
|
2007-12-29 19:27:58 +00:00
|
|
|
if( bArcs && el2.theta2 > el2.theta1 )
|
2008-01-17 16:09:00 +00:00
|
|
|
wxASSERT(0);
|
2007-12-29 19:27:58 +00:00
|
|
|
|
|
|
|
|
// 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, ymin, smin, smin2;
|
|
|
|
|
|
|
|
|
|
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( x, y, x2, 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 = xmin;
|
|
|
|
|
if( y )
|
|
|
|
|
*y = ymin;
|
|
|
|
|
return max(0,dmin-w1/2-w2/2); // allow for widths
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
// Find clearance between pads
|
|
|
|
|
// For each pad:
|
|
|
|
|
// type = PAD_ROUND, PAD_SQUARE, etc.
|
|
|
|
|
// x, y = center position
|
|
|
|
|
// w, l = width and length
|
|
|
|
|
// r = corner radius
|
|
|
|
|
// angle = 0 or 90 (if 0, pad length is along x-axis)
|
|
|
|
|
//
|
|
|
|
|
int GetClearanceBetweenPads( int type1, int x1, int y1, int w1, int l1, int r1, int angle1,
|
|
|
|
|
int type2, int x2, int y2, int w2, int l2, int r2, int angle2 )
|
|
|
|
|
{
|
|
|
|
|
if( type1 == PAD_NONE )
|
|
|
|
|
return INT_MAX;
|
|
|
|
|
if( type2 == PAD_NONE )
|
|
|
|
|
return INT_MAX;
|
|
|
|
|
|
|
|
|
|
int dist = INT_MAX;
|
|
|
|
|
int nr, nc, ns, nrr, ncc, nss;
|
|
|
|
|
my_rect r[2], rr[2];
|
|
|
|
|
my_circle c[4], cc[4];
|
|
|
|
|
my_seg s[8], ss[8];
|
|
|
|
|
|
|
|
|
|
GetPadElements( type1, x1, y1, w1, l1, r1, angle1,
|
|
|
|
|
&nr, r, &nc, c, &ns, s );
|
|
|
|
|
GetPadElements( type2, x2, y2, w2, l2, r2, angle2,
|
|
|
|
|
&nrr, rr, &ncc, cc, &nss, ss );
|
|
|
|
|
// now find distance from every element of pad1 to every element of pad2
|
|
|
|
|
for( int ic=0; ic<nc; ic++ )
|
|
|
|
|
{
|
|
|
|
|
for( int icc=0; icc<ncc; icc++ )
|
|
|
|
|
{
|
|
|
|
|
int d = Distance( c[ic].x, c[ic].y, cc[icc].x, cc[icc].y )
|
|
|
|
|
- c[ic].r - cc[icc].r;
|
|
|
|
|
dist = min(dist,d);
|
|
|
|
|
}
|
|
|
|
|
for( int iss=0; iss<nss; iss++ )
|
|
|
|
|
{
|
|
|
|
|
int d = GetPointToLineSegmentDistance( c[ic].x, c[ic].y,
|
|
|
|
|
ss[iss].xi, ss[iss].yi, ss[iss].xf, ss[iss].yf ) - c[ic].r;
|
|
|
|
|
dist = min(dist,d);
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
for( int is=0; is<ns; is++ )
|
|
|
|
|
{
|
|
|
|
|
for( int icc=0; icc<ncc; icc++ )
|
|
|
|
|
{
|
|
|
|
|
int d = GetPointToLineSegmentDistance( cc[icc].x, cc[icc].y,
|
|
|
|
|
s[is].xi, s[is].yi, s[is].xf, s[is].yf ) - cc[icc].r;
|
|
|
|
|
dist = min(dist,d);
|
|
|
|
|
}
|
|
|
|
|
for( int iss=0; iss<nss; iss++ )
|
|
|
|
|
{
|
|
|
|
|
double d;
|
|
|
|
|
TestForIntersectionOfStraightLineSegments( s[is].xi, s[is].yi, s[is].xf, s[is].yf,
|
|
|
|
|
ss[iss].xi, ss[iss].yi, ss[iss].xf, ss[iss].yf, NULL, NULL, &d );
|
|
|
|
|
dist = min(dist,d);
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
return max(dist,0);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// 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, xp, 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 and xf,yf = the end-points 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, xp, 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 )
|
2008-01-17 16:09:00 +00:00
|
|
|
wxASSERT(0);
|
2007-12-29 19:27:58 +00:00
|
|
|
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 )
|
2008-01-17 16:09:00 +00:00
|
|
|
wxASSERT(0);
|
2007-12-29 19:27:58 +00:00
|
|
|
if( el2->theta2 > el2->theta1 )
|
2008-01-17 16:09:00 +00:00
|
|
|
wxASSERT(0);
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2007-12-29 19:27:58 +00:00
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const int NSTEPS = 32;
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double xret[2], yret[2];
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double xscale = 1.0/el1->xrad;
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double yscale = 1.0/el1->yrad;
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// now transform params of second ellipse into reference frame
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// with origin at center if first ellipse,
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// scaled so the first ellipse is a circle of radius = 1.0
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double xo = (el2->Center.X - el1->Center.X)*xscale;
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double yo = (el2->Center.Y - el1->Center.Y)*yscale;
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double xr = el2->xrad*xscale;
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double yr = el2->yrad*yscale;
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// now test NSTEPS positions in arc, moving clockwise (ie. decreasing theta)
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double step = M_PI/((NSTEPS-1)*2.0);
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2008-02-01 11:01:32 +00:00
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double d_prev=0, th_prev;
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2007-12-29 19:27:58 +00:00
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double th_interp;
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double th1;
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int n = 0;
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for( int i=0; i<NSTEPS; i++ )
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{
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double theta;
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if( i < NSTEPS-1 )
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theta = el2->theta1 - i*step;
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else
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theta = el2->theta2;
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double x = xo + xr*cos(theta);
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double y = yo + yr*sin(theta);
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double d = 1.0 - sqrt(x*x + y*y);
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if( i>0 )
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{
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bool bInt = false;
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if( d >= 0.0 && d_prev <= 0.0 )
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{
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th_interp = theta + (step*(-d_prev))/(d-d_prev);
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bInt = true;
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}
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else if( d <= 0.0 && d_prev >= 0.0 )
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{
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th_interp = theta + (step*d_prev)/(d_prev-d);
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bInt = true;
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}
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if( bInt )
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{
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x = xo + xr*cos(th_interp);
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y = yo + yr*sin(th_interp);
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th1 = atan2( y, x );
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if( th1 <= el1->theta1 && th1 >= el1->theta2 )
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{
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xret[n] = x*el1->xrad + el1->Center.X;
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yret[n] = y*el1->yrad + el1->Center.Y;
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n++;
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if( n > 2 )
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2008-01-17 16:09:00 +00:00
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wxASSERT(0);
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2007-12-29 19:27:58 +00:00
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}
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}
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}
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d_prev = d;
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th_prev = theta;
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}
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if( x1 )
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*x1 = xret[0];
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if( y1 )
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*y1 = yret[0];
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if( x2 )
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*x2 = xret[1];
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if( y2 )
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*y2 = yret[1];
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return n;
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}
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// this finds approximate solution
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//
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//double GetSegmentClearance( EllipseKH * el1, EllipseKH * el2,
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double GetArcClearance( EllipseKH * el1, EllipseKH * el2,
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double * x1, double * y1 )
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{
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const int NSTEPS = 32;
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if( el1->theta2 > el1->theta1 )
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2008-01-17 16:09:00 +00:00
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wxASSERT(0);
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2007-12-29 19:27:58 +00:00
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if( el2->theta2 > el2->theta1 )
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2008-01-17 16:09:00 +00:00
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wxASSERT(0);
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2007-12-29 19:27:58 +00:00
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// test multiple positions in both arcs, moving clockwise (ie. decreasing theta)
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double th_start = el1->theta1;
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double th_end = el1->theta2;
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double th_start2 = el2->theta1;
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double th_end2 = el2->theta2;
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double dmin = DBL_MAX;
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2008-02-01 11:01:32 +00:00
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double xmin=0, ymin=0, thmin=0, thmin2=0;
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2007-12-29 19:27:58 +00:00
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int nsteps = NSTEPS;
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int nsteps2 = NSTEPS;
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double step = (th_start-th_end)/(nsteps-1);
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double step2 = (th_start2-th_end2)/(nsteps2-1);
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while( (step * max(el1->xrad, el1->yrad)) > 1.0*NM_PER_MIL
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&& (step2 * max(el2->xrad, el2->yrad)) > 1.0*NM_PER_MIL )
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{
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step = (th_start-th_end)/(nsteps-1);
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for( int i=0; i<nsteps; i++ )
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{
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double theta;
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if( i < nsteps-1 )
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theta = th_start - i*step;
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else
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theta = th_end;
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double x = el1->Center.X + el1->xrad*cos(theta);
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double y = el1->Center.Y + el1->yrad*sin(theta);
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step2 = (th_start2-th_end2)/(nsteps2-1);
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for( int i2=0; i2<nsteps2; i2++ )
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{
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double theta2;
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if( i2 < nsteps2-1 )
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theta2 = th_start2 - i2*step2;
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else
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theta2 = th_end2;
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double x2 = el2->Center.X + el2->xrad*cos(theta2);
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double y2 = el2->Center.Y + el2->yrad*sin(theta2);
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double d = Distance( x, y, x2, y2 );
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if( d < dmin )
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{
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dmin = d;
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xmin = x;
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ymin = y;
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thmin = theta;
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thmin2 = theta2;
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}
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}
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}
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if( step > step2 )
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{
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th_start = min(el1->theta1, thmin + step);
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th_end = max(el1->theta2, thmin - step);
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step = (th_start - th_end)/nsteps;
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}
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else
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{
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th_start2 = min(el2->theta1, thmin2 + step2);
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th_end2 = max(el2->theta2, thmin2 - step2);
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step2 = (th_start2 - th_end2)/nsteps2;
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}
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}
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if( x1 )
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*x1 = xmin;
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if( y1 )
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*y1 = ymin;
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return dmin;
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}
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