2007-09-16 19:06:02 +00:00
|
|
|
#include "Line.h"
|
|
|
|
#include <math.h>
|
|
|
|
|
|
|
|
|
2007-09-16 20:59:04 +00:00
|
|
|
bool Line::contains(const Vertex &v) const {
|
2007-09-26 19:28:04 +00:00
|
|
|
if(fabs(v1.getX() - v2.getX()) < 1E-6 && fabs(v1.getY() - v2.getY()) < 1E-6) {
|
|
|
|
if(fabs(v1.getX() - v.getX()) < 1E-6 && fabs(v1.getY() - v.getY()) < 1E-6)
|
2007-09-16 20:59:04 +00:00
|
|
|
return true;
|
|
|
|
else
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
2007-09-26 19:28:04 +00:00
|
|
|
if(fabs(v1.getX() - v2.getX()) < 1E-6) {
|
|
|
|
if(fabs(v1.getX() - v.getX()) >= 1E-6)
|
2007-09-16 20:59:04 +00:00
|
|
|
return false;
|
2007-09-26 19:28:04 +00:00
|
|
|
else if(v.getY() - fmin(v1.getY(), v2.getY()) > -1E-6 && v.getY() - fmax(v1.getY(), v2.getY()) < 1E-6)
|
2007-09-16 20:59:04 +00:00
|
|
|
return true;
|
|
|
|
else
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
2007-09-26 19:28:04 +00:00
|
|
|
if(fabs(v1.getY() - v2.getY()) < 1E-6) {
|
|
|
|
if(fabs(v1.getY() - v.getY()) >= 1E-6)
|
2007-09-16 20:59:04 +00:00
|
|
|
return false;
|
2007-09-26 19:28:04 +00:00
|
|
|
else if(v.getX() - fmin(v1.getX(), v2.getX()) > -1E-6 && v.getX() - fmax(v1.getX(), v2.getX()) < 1E-6)
|
2007-09-16 20:59:04 +00:00
|
|
|
return true;
|
|
|
|
else
|
|
|
|
return false;
|
|
|
|
}
|
2007-09-26 19:28:04 +00:00
|
|
|
if(fabs((v.getX()-v1.getX())/(v2.getX()-v1.getX()) - (v.getY()-v1.getY())/(v2.getY()-v1.getY())) < 1E-6)
|
2007-09-16 20:59:04 +00:00
|
|
|
return true;
|
|
|
|
else
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
|
|
|
int Line::intersects(const Line &l, Vertex *v) const {
|
2007-09-26 19:28:04 +00:00
|
|
|
float xa1 = v1.getX(), ya1 = v1.getY();
|
|
|
|
float xa2 = v2.getX(), ya2 = v2.getY();
|
|
|
|
float xb1 = l.v1.getX(), yb1 = l.v1.getY();
|
|
|
|
float xb2 = l.v2.getX(), yb2 = l.v2.getY();
|
|
|
|
float temp;
|
2007-09-16 19:06:02 +00:00
|
|
|
int switched = 0;
|
|
|
|
Vertex v2;
|
|
|
|
|
|
|
|
|
|
|
|
if(!v) v = &v2;
|
|
|
|
|
2007-09-26 19:28:04 +00:00
|
|
|
if(fabs(xa1 - xa2) < 1E-6 && fabs(ya1 - ya2) < 1E-6) return INTERSECTION_ERROR;
|
|
|
|
if(fabs(xb1 - xb2) < 1E-6 && fabs(yb1 - yb2) < 1E-6) return INTERSECTION_ERROR;
|
2007-09-16 19:06:02 +00:00
|
|
|
|
2007-09-26 19:28:04 +00:00
|
|
|
if(fabs(xa1 - xa2) < 1E-6 || fabs(xb1 - xb2) < 1E-6) {
|
2007-09-16 19:06:02 +00:00
|
|
|
temp = xa1; xa1 = ya1; ya1 = temp;
|
|
|
|
temp = xa2; xa2 = ya2; ya2 = temp;
|
|
|
|
temp = xb1; xb1 = yb1; yb1 = temp;
|
|
|
|
temp = xb2; xb2 = yb2; yb2 = temp;
|
|
|
|
|
|
|
|
switched = 1;
|
|
|
|
}
|
|
|
|
|
2007-09-26 19:28:04 +00:00
|
|
|
if(fabs(xa1 - xa2) < 1E-6 && fabs(xb1 - xb2) < 1E-6)
|
|
|
|
return (fabs(xa1 - xb1) < 1E-6) ? INTERSECTION_IDENTICAL : INTERSECTION_NONE;
|
2007-09-16 19:06:02 +00:00
|
|
|
|
2007-09-26 19:28:04 +00:00
|
|
|
if(fabs(xa1 - xa2) < 1E-6) {
|
2007-09-16 19:06:02 +00:00
|
|
|
v->setX(xa1);
|
|
|
|
v->setY(yb1);
|
|
|
|
}
|
2007-09-26 19:28:04 +00:00
|
|
|
else if(fabs(xb1 - xb2) < 1E-6) {
|
2007-09-16 19:06:02 +00:00
|
|
|
v->setX(xb1);
|
|
|
|
v->setY(ya1);
|
|
|
|
}
|
|
|
|
else {
|
2007-09-26 19:28:04 +00:00
|
|
|
float ma = (ya2-ya1)/(xa2-xa1);
|
|
|
|
float mb = (yb2-yb1)/(xb2-xb1);
|
|
|
|
float ba = ya1 - ma*xa1;
|
|
|
|
float bb = yb1 - mb*xb1;
|
2007-09-16 19:06:02 +00:00
|
|
|
|
2007-09-26 19:28:04 +00:00
|
|
|
if(fabs(ma - mb) < 1E-6) return (fabs(ba - bb) < 1E-6) ? INTERSECTION_IDENTICAL : INTERSECTION_NONE;
|
2007-09-16 19:06:02 +00:00
|
|
|
|
|
|
|
v->setX((bb-ba)/(ma-mb));
|
|
|
|
v->setY(ma*v->getX() + ba);
|
|
|
|
}
|
|
|
|
|
|
|
|
if(switched) {
|
|
|
|
temp = v->getX(); v->setX(v->getY()); v->setY(temp);
|
|
|
|
|
|
|
|
//switch back everything for segment tests
|
|
|
|
temp = xa1; xa1 = ya1; ya1 = temp;
|
|
|
|
temp = xa2; xa2 = ya2; ya2 = temp;
|
|
|
|
temp = xb1; xb1 = yb1; yb1 = temp;
|
|
|
|
temp = xb2; xb2 = yb2; yb2 = temp;
|
|
|
|
}
|
|
|
|
|
|
|
|
if(v->getX() < fmin(xa1,xa2) || v->getX() > fmax(xa1, xa2) || v->getY() < fmin(ya1,ya2) || v->getY() > fmax(ya1, ya2)) {
|
|
|
|
if(v->getX() < fmin(xb1,xb2) || v->getX() > fmax(xb1, xb2) || v->getY() < fmin(yb1,yb2) || v->getY() > fmax(yb1, yb2))
|
|
|
|
return INTERSECTION_LINE_LINE;
|
|
|
|
else
|
|
|
|
return INTERSECTION_LINE_SEGMENT;
|
|
|
|
}
|
|
|
|
else if(v->getX() < fmin(xb1,xb2) || v->getX() > fmax(xb1, xb2) || v->getY() < fmin(yb1,yb2) || v->getY() > fmax(yb1, yb2))
|
|
|
|
return INTERSECTION_SEGMENT_LINE;
|
|
|
|
else
|
|
|
|
return INTERSECTION_SEGMENT_SEGMENT;
|
|
|
|
}
|