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function AreCirclesIntersecting(c0,c1) {
x0 = c0['center']['x'];
y0 = c0['center']['y'];
r0 = c0['center']['r'];
x1 = c1['center']['x'];
y1 = c1['center']['y'];
r1 = c1['center']['r'];
var a, dx, dy, d, h, rx, ry;
var x2, y2;
/* dx and dy are the vertical and horizontal distances between
* the circle centers.
*/
dx = x1 - x0;
dy = y1 - y0;
/* Determine the straight-line distance between the centers. */
d = Math.sqrt((dy*dy) + (dx*dx));
/* Check for solvability. */
if (d > (r0 + r1)) {
/* no solution. circles do not intersect. */
return false;
}
if (d < Math.abs(r0 - r1)) {
/* no solution. one circle is contained in the other */
return false;
}
/* 'point 2' is the point where the line through the circle
* intersection points crosses the line between the circle
* centers.
*/
/* Determine the distance from point 0 to point 2. */
a = ((r0*r0) - (r1*r1) + (d*d)) / (2.0 * d) ;
/* Determine the coordinates of point 2. */
x2 = x0 + (dx * a/d);
y2 = y0 + (dy * a/d);
/* Determine the distance from point 2 to either of the
* intersection points.
*/
h = Math.sqrt((r0*r0) - (a*a));
/* Now determine the offsets of the intersection points from
* point 2.
*/
rx = -dy * (h/d);
ry = dx * (h/d);
/* Determine the absolute intersection points. */
var xi = x2 + rx;
var xi_prime = x2 - rx;
var yi = y2 + ry;
var yi_prime = y2 - ry;
return [xi, xi_prime, yi, yi_prime];
}
const circles = [
{center: {x: 10.0, y: 10.0}, radius: 5.0},
{center: {x: 20.0, y: 20.0}, radius: 15.0},
{center: {x: 20.0, y: 10.0}, radius: 5.0},
{center: {x: 20.0, y: 25.0}, radius: 7.5},
];
const q7_result1 = AreCirclesIntersecting(circles[0], circles[1]);
console.log(q7_result1); // Expected output: true
const q7_result2 = AreCirclesIntersecting(circles[0], circles[2]);
console.log(q7_result2); // Expected output: true
const q7_result3 = AreCirclesIntersecting(circles[1], circles[3]);
console.log(q7_result3); // Expected output: false
const q7_result4 = AreCirclesIntersecting(circles[2], circles[3]);
console.log(q7_result4); // Expected output: false |
