const ctx = canvas.getContext("2d");
const mouse = {x : 0, y : 0, button : false}
function mouseEvents(e){
mouse.x = e.pageX;
mouse.y = e.pageY;
mouse.button = e.type === "mousedown" ? true : e.type === "mouseup" ? false : mouse.button;
}
["down","up","move"].forEach(name => document.addEventListener("mouse"+name,mouseEvents));
// x1,y1 location of a circle start
// x2,y2 location of the end circle
// bend factor. negative bends up for, positive bends down. If zero the world will end
// aLen is Arrow head length in pixels
// aWidth is arrow head width in pixels
// sArrow boolean if true draw start arrow
// eArrow boolean if true draw end arrow
// startRadius = radius of a circle if start attached to circle
// endRadius = radius of a circle if end attached to circle
function drawBend(x1, y1, x2, y2, bend, aLen, aWidth, sArrow, eArrow, startRadius, endRadius){
var mx, my, dist, nx, ny, x3, y3, cx, cy, radius, vx, vy, a1, a2;
var arrowAng,aa1,aa2,b1;
// find mid point
mx = (x1 + x2) / 2;
my = (y1 + y2) / 2;
// get vector from start to end
nx = x2 - x1;
ny = y2 - y1;
// find dist
dist = Math.sqrt(nx * nx + ny * ny);
// normalise vector
nx /= dist;
ny /= dist;
// The next section has some optional behaviours
// that set the dist from the line mid point to the arc mid point
// You should only use one of the following sets
//-- Uncomment for behaviour of arcs
// This make the lines flatten at distance
//b1 = (bend * 300) / Math.pow(dist,1/4);
//-- Uncomment for behaviour of arcs
// Arc bending amount close to constant
// b1 = bend * dist * 0.5
b1 = bend * dist
// Arc amount bend more at dist
x3 = mx + ny * b1;
y3 = my - nx * b1;
// get the radius
radius = (0.5 * ((x1-x3) * (x1-x3) + (y1-y3) * (y1-y3)) / (b1));
// use radius to get arc center
cx = x3 - ny * radius;
cy = y3 + nx * radius;
// radius needs to be positive for the rest of the code
radius = Math.abs(radius);
// find angle from center to start and end
a1 = Math.atan2(y1 - cy, x1 - cx);
a2 = Math.atan2(y2 - cy, x2 - cx);
// normalise angles
a1 = (a1 + Math.PI * 2) % (Math.PI * 2);
a2 = (a2 + Math.PI * 2) % (Math.PI * 2);
// ensure angles are in correct directions
if (bend < 0) {
if (a1 < a2) { a1 += Math.PI * 2 }
} else {
if (a2 < a1) { a2 += Math.PI * 2 }
}
// convert arrow length to angular len
arrowAng = aLen / radius * Math.sign(bend);
// get angular length of start and end circles and move arc start and ends
a1 += startRadius / radius * Math.sign(bend);
a2 -= endRadius / radius * Math.sign(bend);
aa1 = a1;
aa2 = a2;
// check for too close and no room for arc
if ((bend < 0 && a1 < a2) || (bend > 0 && a2 < a1)) {
return;
}
// is there a start arrow
if (sArrow) { aa1 += arrowAng } // move arc start to inside arrow
// is there an end arrow
if (eArrow) { aa2 -= arrowAng } // move arc end to inside arrow
// check for too close and remove arrows if so
if ((bend < 0 && aa1 < aa2) || (bend > 0 && aa2 < aa1)) {
sArrow = false;
eArrow = false;
aa1 = a1;
aa2 = a2;
}
// draw arc
ctx.beginPath();
ctx.arc(cx, cy, radius, aa1, aa2, bend < 0);
ctx.stroke();
ctx.beginPath();
// draw start arrow if needed
if(sArrow){
ctx.moveTo(
Math.cos(a1) * radius + cx,
Math.sin(a1) * radius + cy
);
ctx.lineTo(
Math.cos(aa1) * (radius + aWidth / 2) + cx,
Math.sin(aa1) * (radius + aWidth / 2) + cy
);
ctx.lineTo(
Math.cos(aa1) * (radius - aWidth / 2) + cx,
Math.sin(aa1) * (radius - aWidth / 2) + cy
);
ctx.closePath();
}
// draw end arrow if needed
if(eArrow){
ctx.moveTo(
Math.cos(a2) * radius + cx,
Math.sin(a2) * radius + cy
);
ctx.lineTo(
Math.cos(aa2) * (radius - aWidth / 2) + cx,
Math.sin(aa2) * (radius - aWidth / 2) + cy
);
ctx.lineTo(
Math.cos(aa2) * (radius + aWidth / 2) + cx,
Math.sin(aa2) * (radius + aWidth / 2) + cy
);
ctx.closePath();
}
ctx.fill();
}
/** SimpleUpdate.js begin **/
// short cut vars
var w = canvas.width;
var h = canvas.height;
var cw = w / 2; // center
var ch = h / 2;
var globalTime = new Date().valueOf(); // global to this
// main update function
function update(timer){
globalTime = timer;
if(w !== innerWidth || h !== innerHeight){ // resize if needed
cw = (w = canvas.width = innerWidth) / 2;
ch = (h = canvas.height = innerHeight) / 2;
}
ctx.setTransform(1,0,0,1,0,0); // reset transform
ctx.globalAlpha = 1; // reset alpha
ctx.clearRect(0,0,w,h);
var startRad = (Math.sin(timer / 2000) * 0.5 + 0.5) * 20 + 5;
var endRad = (Math.sin(timer / 7000) * 0.5 + 0.5) * 20 + 5;
ctx.lineWidth = 2;
ctx.fillStyle = "white";
ctx.strokeStyle = "black";
ctx.beginPath();
ctx.arc(cw,ch,startRad,0,Math.PI * 2);
ctx.fill();
ctx.stroke();
ctx.beginPath();
ctx.arc(mouse.x,mouse.y,endRad,0,Math.PI * 2);
ctx.fill();
ctx.stroke();
ctx.lineWidth = 2;
ctx.fillStyle = "black";
ctx.strokeStyle = "black";
drawBend(cw,ch,mouse.x,mouse.y,-0.1,10,10,true,true,startRad + 1,endRad + 1);
drawBend(cw,ch,mouse.x,mouse.y,-0.3,10,10,true,true,startRad + 1,endRad + 1);
drawBend(cw,ch,mouse.x,mouse.y,-0.6,10,10,true,true,startRad + 1,endRad + 1);
drawBend(cw,ch,mouse.x,mouse.y,0.1,10,10,true,true,startRad + 1,endRad + 1);
drawBend(cw,ch,mouse.x,mouse.y,0.3,10,10,true,true,startRad + 1,endRad + 1);
drawBend(cw,ch,mouse.x,mouse.y,0.6,10,10,true,true,startRad + 1,endRad + 1);
requestAnimationFrame(update);
}
requestAnimationFrame(update);
canvas { position : absolute; top : 0px; left : 0px; }
<canvas id="canvas"></canvas>