I want to make a gradient that covers the whole canvas whatever the angle of it.
So I used a method found on a Stack Overflow post which is finally incorrect. The solution is almost right but, in fact, the canvas is not totally covered by the gradient.
It is this answer: https://stackoverflow.com/a/45628098/5594331
(You have to look at the last point named "Example of best fit.")
In my code example below, the yellow part should not be visible because it should be covered by the black and white gradient. This is mostly the code written in Blindman67's answer with some adjustments to highlight the problem.
I have drawn in green the control points of the gradient. With the right calculations, these should be stretched to the edges of the canvas at any angle.
var ctx = canvas.getContext("2d");
var w = canvas.width;
var h = canvas.height;
function bestFitGradient(angle){
var dist = Math.sqrt(w * w + h * h) / 2; // get the diagonal length
var diagAngle = Math.asin((h / 2) / dist); // get the diagonal angle
// Do the symmetry on the angle (move to first quad
var a1 = ((angle % (Math.PI *2))+ Math.PI*4) % (Math.PI * 2);
if(a1 > Math.PI){ a1 -= Math.PI }
if(a1 > Math.PI / 2 && a1 <= Math.PI){ a1 = (Math.PI / 2) - (a1 - (Math.PI / 2)) }
// get angles from center to edges for along and right of gradient
var ang1 = Math.PI/2 - diagAngle - Math.abs(a1);
var ang2 = Math.abs(diagAngle - Math.abs(a1));
// get distance from center to horizontal and vertical edges
var dist1 = Math.cos(ang1) * h;
var dist2 = Math.cos(ang2) * w;
// get the max distance
var scale = Math.max(dist2, dist1) / 2;
// get the vector to the start and end of gradient
var dx = Math.cos(angle) * scale;
var dy = Math.sin(angle) * scale;
var x0 = w / 2 + dx;
var y0 = h / 2 + dy;
var x1 = w / 2 - dx;
var y1 = h / 2 - dy;
// create the gradient
const g = ctx.createLinearGradient(x0, y0, x1, y1);
// add colours
g.addColorStop(0, "yellow");
g.addColorStop(0, "white");
g.addColorStop(.5, "black");
g.addColorStop(1, "white");
g.addColorStop(1, "yellow");
return {
g: g,
x0: x0,
y0: y0,
x1: x1,
y1: y1
};
}
function update(timer){
var r = bestFitGradient(timer / 1000);
// draw gradient
ctx.fillStyle = r.g;
ctx.fillRect(0,0,w,h);
// draw points
ctx.lineWidth = 3;
ctx.fillStyle = '#00FF00';
ctx.strokeStyle = '#FF0000';
ctx.beginPath();
ctx.arc(r.x0, r.y0, 5, 0, 2 * Math.PI, false);
ctx.stroke();
ctx.fill();
ctx.beginPath();
ctx.arc(r.x1, r.y1, 5, 0, 2 * Math.PI, false);
ctx.stroke();
ctx.fill();
requestAnimationFrame(update);
}
requestAnimationFrame(update);
canvas {
border : 2px solid red;
}
<canvas id="canvas" width="300" height="200"></canvas>
In this fiddle there is a function that calculates the distance between a rotated line and a point:
function distanceToPoint(px, py, angle) {
const cx = width / 2;
const cy = height / 2;
return Math.abs((Math.cos(angle) * (px - cx)) - (Math.sin(angle) * (py - cy)));
}
Which is then used to find the maximum distance between the line and the corner points (only two points are considered, because the distances to the other two points are mirrored):
const dist = Math.max(
distanceToPoint(0, 0, angle),
distanceToPoint(0, height, angle)
);
Which can be used to calculate offset points for the end of the gradient:
const ox = Math.cos(angle) * dist;
const oy = Math.sin(angle) * dist;
const gradient = context.createLinearGradient(
width / 2 + ox,
height / 2 + oy,
width / 2 - ox,
height / 2 - oy
)
I found this function on Stackoverflow some time ago and only now am I realizing that it sometimes seems to give false-positives. Here it is:
function lineIntersectsCircle(p1X, p1Y, p2X, p2Y, cX, cY, r) {
let xDelta = p1X - p2X;
let yDelta = p1Y - p2Y;
let distance = Math.sqrt(xDelta * xDelta + yDelta * yDelta)
let a = (cY - p1Y) * (p2X - p1X);
let b = (cX - p1X) * (p2Y - p1Y);
return Math.abs(a - b) / distance <= r;
}
Here's a full code demo reproduction showing the issue here:
let ctx = document.querySelector("canvas").getContext("2d");
function drawCircle(xCenter, yCenter, radius) {
ctx.beginPath();
ctx.arc(xCenter, yCenter, radius, 0, 2 * Math.PI);
ctx.fill();
}
function drawLine(x1, y1, x2, y2) {
ctx.beginPath();
ctx.moveTo(x1, y1);
ctx.lineTo(x2, y2);
ctx.stroke();
}
function lineIntersectsCircle(p1X, p1Y, p2X, p2Y, cX, cY, r) {
let xDelta = p1X - p2X;
let yDelta = p1Y - p2Y;
let distance = Math.sqrt(xDelta * xDelta + yDelta * yDelta)
let a = (cY - p1Y) * (p2X - p1X);
let b = (cX - p1X) * (p2Y - p1Y);
return Math.abs(a - b) / distance <= r;
}
let circleX = 250;
let circleY = 250;
let circleR = 50;
let lineX1 = 50;
let lineY1 = 350;
let lineX2 = 185;
let lineY2 = 250;
draw = () => {
ctx.fillStyle = "#b2c7ef";
ctx.fillRect(0, 0, 800, 800);
ctx.fillStyle = "#ffffff";
drawCircle(circleX, circleY, circleR);
drawLine(lineX1, lineY1, lineX2, lineY2);
}
console.log(lineIntersectsCircle(lineX1, lineY1, lineX2, lineY2, circleX, circleY, circleR))
draw();
canvas { display: flex; margin: 0 auto; }
<canvas width="400" height="400"></canvas>
As you can see, the line doesn't intersect the circle, yet it console logs a true statement. Does anyone know why this would be? If this function is incorrect, what is the proper function for only determining if a line and circle intersect? I do not need the intersection points, only whether or not they intersect at all.
Mathematically, a line is different from a line segment; a line is infinitely long.
You use the formula for finding the distance between a point (centre of the circle) and a line. While the formula uses a line defined by two points, it is not terminated by those points, so that doesn't apply to a line segment.
If you extend that line segment out, you can see that it intersects with the circle.
Three steps to determine whether a line segment intersects with a circle:
transform the coordinates to make (xCenter, yCenter) of the circle as the zero point, and switch the X,Y coordinates (because the Y axis of the canvas points downward, which makes linear functions incorrect);
find the point nearest to the circle in the (infinite) line, if the point is not inside the line segment, get one of the end points which is closer to the point;
if the point is inside the circle, and the 2 end points are not both inside the circle, there is at least one intersection.
let ctx = document.querySelector("canvas").getContext("2d");
function drawCircle(xCenter, yCenter, radius) {
ctx.beginPath();
ctx.arc(xCenter, yCenter, radius, 0, 2 * Math.PI);
ctx.fill();
}
function drawLine(x1, y1, x2, y2) {
ctx.beginPath();
ctx.moveTo(x1, y1);
ctx.lineTo(x2, y2);
ctx.stroke();
}
function lineIntersectsCircle(p1X, p1Y, p2X, p2Y, cX, cY, r) {
// to calculate the new position based on the new zero point at the circle center,
//where X, Y coordinates have to be switched because in Canvas Y coordinate increases downwards
let newp1y = p1X - cX, newp1x = p1Y - cY, newp2y = p2X - cX, newp2x = p2Y - cY;
// when the 2 end points are all inside the circle, there is no intersection
if((newp1x*newp1x + newp1y*newp1y < r*r) && (newp2x*newp2x + newp2y*newp2y < r*r)) {
return false;
}
// slope of the line and the slope of the perpendicular line from the circle center
let slopeL = (newp2y - newp1y) / (newp2x - newp1x), slopeC;
if(slopeL != 0){
slopeC = -1/slopeL;
}
else{
slopeC = 65535; // for a vertical line, this slope number is big enough
}
// calculate the nearest point at the straight line from the circle center
let closeX = (newp1y - slopeL*newp1x)/(slopeC - slopeL);
let closeY = closeX * slopeC;
// in this condition, the nearest point is not inside the line segment, so the end point
// which is closer to this point will be picked as the real nearest point to the circle center
if((closeX - newp1x)*(closeX - newp2x) >=0 && (closeY - newp1y)*(closeY - newp2y) >=0){
if((closeX - newp1x)*(closeX - newp2x) > 0){
if(Math.abs(closeX - newp1x) > Math.abs(closeX - newp2x)){
closeX = newp2x;
closeY = newp2y;
}
else{
closeX = newp1x;
closeY = newp1y;
}
}
else {
if(Math.abs(closeY - newp1y) > Math.abs(closeY - newp2y)){
closeX = newp2x;
closeY = newp2y;
}
else{
closeX = newp1x;
closeY = newp1y;
}
}
}
//check if the picked nearest point is inside the circle
return (closeX*closeX + closeY*closeY) < r*r;
}
let circleX = 250;
let circleY = 250;
let circleR = 50;
let lineX1 = 50;
let lineY1 = 350;
let lineX2 = 185;
let lineY2 = 250;
draw = () => {
ctx.fillStyle = "#b2c7ef";
ctx.fillRect(0, 0, 800, 800);
ctx.fillStyle = "#ffffff";
drawCircle(circleX, circleY, circleR);
drawLine(lineX1, lineY1, lineX2, lineY2);
}
console.log(lineIntersectsCircle(lineX1, lineY1, lineX2, lineY2, circleX, circleY, circleR))
draw();
canvas { display: flex; margin: 0 auto; }
<canvas width="400" height="400"></canvas>
I'm working on a flow-network visualization with Javascript.
Vertices are represented as circles and edges are represented as arrows.
Here is my Edge class:
function Edge(u, v) {
this.u = u; // start vertex
this.v = v; // end vertex
this.draw = function() {
var x1 = u.x;
var y1 = u.y;
var x2 = v.x;
var y2 = v.y;
context.beginPath();
context.moveTo(x1, y1);
context.lineTo(x2, y2);
context.stroke();
var dx = x1 - x2;
var dy = y1 - y2;
var length = Math.sqrt(dx * dx + dy * dy);
x1 = x1 - Math.round(dx / ((length / (radius))));
y1 = y1 - Math.round(dy / ((length / (radius))));
x2 = x2 + Math.round(dx / ((length / (radius))));
y2 = y2 + Math.round(dy / ((length / (radius))));
// calculate the angle of the edge
var deg = (Math.atan(dy / dx)) * 180.0 / Math.PI;
if (dx < 0) {
deg += 180.0;
}
if (deg < 0) {
deg += 360.0;
}
// calculate the angle for the two triangle points
var deg1 = ((deg + 25 + 90) % 360) * Math.PI * 2 / 360.0;
var deg2 = ((deg + 335 + 90) % 360) * Math.PI * 2 / 360.0;
// calculate the triangle points
var arrowx = [];
var arrowy = [];
arrowx[0] = x2;
arrowy[0] = y2;
arrowx[1] = Math.round(x2 + 12 * Math.sin(deg1));
arrowy[1] = Math.round(y2 - 12 * Math.cos(deg1));
arrowx[2] = Math.round(x2 + 12 * Math.sin(deg2));
arrowy[2] = Math.round(y2 - 12 * Math.cos(deg2));
context.beginPath();
context.moveTo(arrowx[0], arrowy[0]);
context.lineTo(arrowx[1], arrowy[1]);
context.lineTo(arrowx[2], arrowy[2]);
context.closePath();
context.stroke();
context.fillStyle = "black";
context.fill();
};
}
Given the code
var canvas = document.getElementById('canvas'); // canvas element
var context = canvas.getContext("2d");
context.lineWidth = 1;
context.strokeStyle = "black";
var radius = 20; // vertex radius
var u = {
x: 50,
y: 80
};
var v = {
x: 150,
y: 200
};
var e = new Edge(u, v);
e.draw();
The draw() function will draw an edge between two vertices like this:
If we add the code
var k = new Edge(v, u);
k.draw();
We will get:
but I want to draw edges both directions as following:
(sorry for my bad paint skills)
Of course the vertices and the edge directions are not fixed.
A working example (with drawing vertex fucntion) on JSFiddle:
https://jsfiddle.net/Romansko/0fu01oec/18/
Aligning axis to a line.
It can make everything a little easier if you rotate the rendering to align with the line. Once you do that it is then easy to draw above or below the line as that is just in the y direction and along the line is the x direction.
Thus if you have a line
const line = {
p1 : { x : ? , y : ? },
p2 : { x : ? , y : ? },
};
Convert it to a vector and normalise that vector
// as vector from p1 to p2
var nx = line.p2.x - line.p1.x;
var ny = line.p2.y - line.p1.y;
// then get length
const len = Math.sqrt(nx * nx + ny * ny);
// use the length to normalise the vector
nx /= len;
ny /= len;
The normalised vector represents the new x axis we want to render along, and the y axis is at 90 deg to that. We can use setTransform to set both axis and the origin (0,0) point at the start of the line.
ctx.setTransform(
nx, ny, // the x axis
-ny, nx, // the y axis at 90 deg to the x axis
line.p1.x, line.p1.y // the origin (0,0)
)
Now rendering the line and arrow heads is easy as they are axis aligned
ctx.beginPath();
ctx.lineTo(0,0); // start of line
ctx.lineTo(len,0); // end of line
ctx.stroke();
// add the arrow head
ctx.beginPath();
ctx.lineTo(len,0); // tip of arrow
ctx.lineTo(len - 10, 10);
ctx.lineTo(len - 10, -10);
ctx.fill();
To render two lines offset from the center
var offset = 10;
ctx.beginPath();
ctx.lineTo(0,offset); // start of line
ctx.lineTo(len,offset); // end of line
ctx.moveTo(0,-offset); // start of second line
ctx.lineTo(len,-offset); // end of second line
ctx.stroke();
// add the arrow head
ctx.beginPath();
ctx.lineTo(len,offset); // tip of arrow
ctx.lineTo(len - 10, offset+10);
ctx.lineTo(len - 10, offset-10);
ctx.fill();
offset = -10;
// add second arrow head
ctx.beginPath();
ctx.lineTo(0,offset); // tip of arrow
ctx.lineTo(10, offset+10);
ctx.lineTo(10, offset-10);
ctx.fill();
And you can reset the transform with
ctx.setTransform(1,0,0,1,0,0); // restore default transform
I have realized a javascript program, which can draw an arbitrary triangle, and calculate the angles and sides length.
Here is a program, which I try to realize: https://www.mathsisfun.com/proof180deg.html
Sadly I can't draw the arc's in angles of triangle!
Maybe by means of the HTML canvas arc() Method will be realized. E.g. like:
ctx.arc(x, y, 50, start , end);
The x-y position is known. I'm looking for "start" and "end" of angles.
Thanks in advance.
Math.atan2
You can use Math.atan2 to get the direction of a line.
for example
// line from x1,y1 to x2,y2
var nx1 = x2 - x1;
var ny1 = y2 - y1;
var angle = Math.atan2(ny1,nx1);
So the you get the angle of the two lines from a corner. The angles are in the range -Math.PI to Math.PI so you need to move the first angle ahead of the second if it is lower or it will take the long way around.
There is also the problem of the triangle orientation, it can be clockwise or anticlockwise. If the wrong way the angles will be on the outside. You can use the cross product of the two lines to find the directio. If the wrong way then just swap the two angles.
Demo function
Use the mouse to move one of the points.
const ctx = canvas.getContext("2d");
// 2 lines start at x1,y1, then join at x2,y2, and then out to x3,y3
function drawLinesAndAngle(x1,y1,x2,y2,x3,y3){
// get vectors from x2,y2 to the other points
var nx1 = x1 - x2;
var ny1 = y1 - y2;
var nx2 = x3 - x2;
var ny2 = y3 - y2;
var lineAngle1 = Math.atan2(ny1,nx1);
var lineAngle2 = Math.atan2(ny2,nx2);
// use cross product to find correct direction.
if(nx1 * ny2 - ny1 * nx2 < 0){ // wrong way around swap direction
const t = lineAngle2;
lineAngle2 = lineAngle1;
lineAngle1 = t;
}
// if angle 1 is behind then move ahead
if(lineAngle1 < lineAngle2){
lineAngle1 += Math.PI * 2;
}
// render the arc
ctx.fillStyle = "red";
ctx.beginPath();
ctx.moveTo(x2,y2);
ctx.arc(x2,y2,35,lineAngle1, lineAngle2);
ctx.fill();
// render outside arc
ctx.fillStyle = "blue";
ctx.beginPath();
ctx.moveTo(x2,y2);
ctx.arc(x2,y2,7,lineAngle2, lineAngle1);
ctx.fill();
// get the mid point
const mx = -Math.cos((lineAngle1 + lineAngle2) / 2) * 50 + x2;
const my = -Math.sin((lineAngle1 + lineAngle2) / 2) * 50 + y2;
// render the angle
ctx.fillStyle = "black";
ctx.font = "16px arial";
ctx.textAlign = "center";
ctx.textBaseline = "middle";
ctx.fillText(
(360-(lineAngle1 - lineAngle2) * (180 /Math.PI)).toFixed(0), // convert to deg
mx,
my,
)
}
// short cut vars
var w = canvas.width;
var h = canvas.height;
var cw = w / 2; // center
var ch = h / 2;
// main update function
function update(timer){
ctx.setTransform(1,0,0,1,0,0); // reset transform
ctx.globalAlpha = 1; // reset alpha
if(w !== innerWidth || h !== innerHeight){
cw = (w = canvas.width = innerWidth) / 2;
ch = (h = canvas.height = innerHeight) / 2;
}else{
ctx.clearRect(0,0,w,h);
}
// start line
const x = Math.cos(timer / 5000) * Math.min(cw,ch) * 0.95 + cw;
const y = Math.sin(timer / 5000) * Math.min(cw,ch) * 0.95 + ch;
// fill triangle
ctx.fillStyle = "#FD8";
ctx.beginPath();
ctx.lineTo(x,y);
ctx.lineTo(cw,ch);
ctx.lineTo(mouse.x,mouse.y);
ctx.closePath();
ctx.fill();
drawLinesAndAngle(x,y,cw,ch,mouse.x,mouse.y);
drawLinesAndAngle(cw,ch,mouse.x,mouse.y,x,y);
drawLinesAndAngle(mouse.x,mouse.y,x,y,cw,ch);
// render the lines
ctx.strokeStyle = "black";
ctx.lineWidth = 3;
ctx.lineJoin = "round";
ctx.beginPath();
ctx.lineTo(x,y);
ctx.lineTo(cw,ch);
ctx.lineTo(mouse.x,mouse.y);
ctx.closePath();
ctx.stroke();
requestAnimationFrame(update);
}
requestAnimationFrame(update);
const mouse = {x : 0, y : 0, button : false, drag : false, dragStart : false, dragEnd : false, dragStartX : 0, dragStartY : 0}
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));
canvas { position : absolute; top : 0px; left : 0px; }
<canvas id="canvas"></canvas>
I want to draw an arrow using the canvas tag, javascript. I've made it using the quadratic function, but I'm having problems to calculate the angle of rotation of the arrow...
Anyone have a clue on this?
Thank you
As simple as I can get it. You'll have to prepend context.beginPath() and append context.stroke() yourself:
ctx = document.getElementById("c").getContext("2d");
ctx.beginPath();
canvas_arrow(ctx, 10, 30, 200, 150);
canvas_arrow(ctx, 100, 200, 400, 50);
canvas_arrow(ctx, 200, 30, 10, 150);
canvas_arrow(ctx, 400, 200, 100, 50);
ctx.stroke();
function canvas_arrow(context, fromx, fromy, tox, toy) {
var headlen = 10; // length of head in pixels
var dx = tox - fromx;
var dy = toy - fromy;
var angle = Math.atan2(dy, dx);
context.moveTo(fromx, fromy);
context.lineTo(tox, toy);
context.lineTo(tox - headlen * Math.cos(angle - Math.PI / 6), toy - headlen * Math.sin(angle - Math.PI / 6));
context.moveTo(tox, toy);
context.lineTo(tox - headlen * Math.cos(angle + Math.PI / 6), toy - headlen * Math.sin(angle + Math.PI / 6));
}
<html>
<body>
<canvas id="c" width="500" height="500"></canvas>
</body>
Ok, so the first answer on this page helped me greatly when I was trying to figure this problem out myself, although as someone else already stated, if you have a line width greater than 1px you get funny shapes. The fix that someone else suggested almost worked, but I still had some issues when trying to go for a thicker width arrow. After several hours of playing around with it I was able to combine the above solution with some of my own tinkering to come up with the following code that will draw an arrow at whatever thickness you desire without distorting the arrow shape.
function drawArrow(fromx, fromy, tox, toy){
//variables to be used when creating the arrow
var c = document.getElementById("myCanvas");
var ctx = c.getContext("2d");
const width = 22;
var headlen = 10;
// This makes it so the end of the arrow head is located at tox, toy, don't ask where 1.15 comes from
tox -= Math.cos(angle) * ((width*1.15));
toy -= Math.sin(angle) * ((width*1.15));
var angle = Math.atan2(toy-fromy,tox-fromx);
//starting path of the arrow from the start square to the end square and drawing the stroke
ctx.beginPath();
ctx.moveTo(fromx, fromy);
ctx.lineTo(tox, toy);
ctx.strokeStyle = "#cc0000";
ctx.lineWidth = width;
ctx.stroke();
//starting a new path from the head of the arrow to one of the sides of the point
ctx.beginPath();
ctx.moveTo(tox, toy);
ctx.lineTo(tox-headlen*Math.cos(angle-Math.PI/7),toy-headlen*Math.sin(angle-Math.PI/7));
//path from the side point of the arrow, to the other side point
ctx.lineTo(tox-headlen*Math.cos(angle+Math.PI/7),toy-headlen*Math.sin(angle+Math.PI/7));
//path from the side point back to the tip of the arrow, and then again to the opposite side point
ctx.lineTo(tox, toy);
ctx.lineTo(tox-headlen*Math.cos(angle-Math.PI/7),toy-headlen*Math.sin(angle-Math.PI/7));
//draws the paths created above
ctx.strokeStyle = "#cc0000";
ctx.lineWidth = width;
ctx.stroke();
ctx.fillStyle = "#cc0000";
ctx.fill();
}
This is now the code that I am using in my program. What I found to be the key with eliminating the distortion issue was continuing the stroke from the tip of the arrow to one side point, to the other side point, back to the tip, and back over to the first side point, then doing a fill. This corrected the shape of the arrow.
Hope this helps!
Here is another method to draw arrows. It uses the triangle method from here: https://stackoverflow.com/a/8937325/1828637
A little helper function.
function canvas_arrow(context, fromx, fromy, tox, toy, r){
var x_center = tox;
var y_center = toy;
var angle;
var x;
var y;
context.beginPath();
angle = Math.atan2(toy-fromy,tox-fromx)
x = r*Math.cos(angle) + x_center;
y = r*Math.sin(angle) + y_center;
context.moveTo(x, y);
angle += (1/3)*(2*Math.PI)
x = r*Math.cos(angle) + x_center;
y = r*Math.sin(angle) + y_center;
context.lineTo(x, y);
angle += (1/3)*(2*Math.PI)
x = r*Math.cos(angle) + x_center;
y = r*Math.sin(angle) + y_center;
context.lineTo(x, y);
context.closePath();
context.fill();
}
And here is a demonstration of it to draw arrows at the start and at the end of a line.
var can = document.getElementById('c');
var ctx = can.getContext('2d');
ctx.lineWidth = 10;
ctx.strokeStyle = 'steelblue';
ctx.fillStyle = 'steelbllue'; // for the triangle fill
ctx.lineJoin = 'butt';
ctx.beginPath();
ctx.moveTo(50, 50);
ctx.lineTo(150, 150);
ctx.stroke();
canvas_arrow(ctx, 50, 50, 150, 150, 10);
canvas_arrow(ctx, 150, 150, 50, 50, 10);
function canvas_arrow(context, fromx, fromy, tox, toy, r){
var x_center = tox;
var y_center = toy;
var angle;
var x;
var y;
context.beginPath();
angle = Math.atan2(toy-fromy,tox-fromx)
x = r*Math.cos(angle) + x_center;
y = r*Math.sin(angle) + y_center;
context.moveTo(x, y);
angle += (1/3)*(2*Math.PI)
x = r*Math.cos(angle) + x_center;
y = r*Math.sin(angle) + y_center;
context.lineTo(x, y);
angle += (1/3)*(2*Math.PI)
x = r*Math.cos(angle) + x_center;
y = r*Math.sin(angle) + y_center;
context.lineTo(x, y);
context.closePath();
context.fill();
}
<canvas id="c" width=300 height=300></canvas>
You can do:
ctx.save();
ctx.translate(xOrigin, yOrigin);
ctx.rotate(angle);
// draw your arrow, with its origin at [0, 0]
ctx.restore();
var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');
ctx.clearRect(0, 0, canvas.width, canvas.height);
arrow({x: 10, y: 10}, {x: 100, y: 170}, 10);
arrow({x: 40, y: 250}, {x: 10, y: 70}, 5);
function arrow (p1, p2, size) {
var angle = Math.atan2((p2.y - p1.y) , (p2.x - p1.x));
var hyp = Math.sqrt((p2.x - p1.x) * (p2.x - p1.x) + (p2.y - p1.y) * (p2.y - p1.y));
ctx.save();
ctx.translate(p1.x, p1.y);
ctx.rotate(angle);
// line
ctx.beginPath();
ctx.moveTo(0, 0);
ctx.lineTo(hyp - size, 0);
ctx.stroke();
// triangle
ctx.fillStyle = 'blue';
ctx.beginPath();
ctx.lineTo(hyp - size, size);
ctx.lineTo(hyp, 0);
ctx.lineTo(hyp - size, -size);
ctx.fill();
ctx.restore();
}
<canvas id = "canvas" width = "300" height = "400"></canvas>
Typescript version, with the fixed arrow tip when line width >> 1
function canvas_arrow( context, fromx, fromy, tox, toy ) {
const dx = tox - fromx;
const dy = toy - fromy;
const headlen = Math.sqrt( dx * dx + dy * dy ) * 0.3; // length of head in pixels
const angle = Math.atan2( dy, dx );
context.beginPath();
context.moveTo( fromx, fromy );
context.lineTo( tox, toy );
context.stroke();
context.beginPath();
context.moveTo( tox - headlen * Math.cos( angle - Math.PI / 6 ), toy - headlen * Math.sin( angle - Math.PI / 6 ) );
context.lineTo( tox, toy );
context.lineTo( tox - headlen * Math.cos( angle + Math.PI / 6 ), toy - headlen * Math.sin( angle + Math.PI / 6 ) );
context.stroke();
}
Given a size and the starting position, following code will draw the arrow for you.
function draw_arrow(context, startX, startY, size) {
var arrowX = startX + 0.75 * size;
var arrowTopY = startY - 0.707 * (0.25 * size);
var arrowBottomY = startY + 0.707 * (0.25 * size);
context.moveTo(startX, startY);
context.lineTo(startX + size, startX);
context.lineTo(arrowX, arrowTopY);
context.moveTo(startX + size, startX);
context.lineTo(arrowX, arrowBottomY);
context.stroke();
}
window.onload = function() {
var canvas = document.getElementById("myCanvas");
var context = canvas.getContext("2d");
var startX = 50;
var startY = 50;
var size = 100;
context.lineWidth = 2;
draw_arrow(context, startX, startY, size);
};
body {
margin: 0px;
padding: 0px;
}
#myCanvas {
border: 1px solid #9C9898;
}
<!DOCTYPE HTML>
<html>
<body onmousedown="return false;">
<canvas id="myCanvas" width="578" height="200"></canvas>
</body>
</html>
This code is similar to Titus Cieslewski's solution, maybe the arrow is a bit nicer:
function canvasDrawArrow(context, fromx, fromy, tox, toy) {
var headlen = 10.0;
var back = 4.0;
var angle1 = Math.PI / 13.0;
var angle2 = Math.atan2(toy - fromy, tox - fromx);
var diff1 = angle2 - angle1;
var diff2 = angle2 + angle1;
var xx = getBack(back, fromx, fromy, tox, toy);
var yy = getBack(back, fromy, fromx, toy, tox);
context.moveTo(fromx, fromy);
context.lineTo(tox, toy);
context.moveTo(xx, yy);
context.lineTo(xx - headlen * Math.cos(diff1), yy - headlen * Math.sin(diff1));
context.moveTo(xx, yy);
context.lineTo(xx - headlen * Math.cos(diff2), yy - headlen * Math.sin(diff2));
}
function getBack(len, x1, y1, x2, y2) {
return x2 - (len * (x2 - x1) / (Math.sqrt(Math.pow(y2 - y1, 2) + Math.pow(x2 - x1, 2))));
}
this works well with lineWidth > 1. It can come in handy when drawing x and y axis
I also stumbled across this problem and gotta say that none of these solutions works nicely if you want to fill your arrow and make it transparent.
I wrote some code to achieve this. (I usually code in C++ so dont judge my code style please) :)
function transform(xy,angle,xy0){
// put x and y relative to x0 and y0 so we can rotate around that
const rel_x = xy[0] - xy0[0];
const rel_y = xy[1] - xy0[1];
// compute rotated relative points
const new_rel_x = Math.cos(angle) * rel_x - Math.sin(angle) * rel_y;
const new_rel_y = Math.sin(angle) * rel_x + Math.cos(angle) * rel_y;
return [xy0[0] + new_rel_x, xy0[1] + new_rel_y];
}
function draw_arrow(context, x0, y0, x1, y1, width, head_width, head_length){
// compute length first
const length = Math.sqrt((x1-x0)*(x1-x0)+(y1-y0)*(y1-y0))
let angle = Math.atan2(y1-y0, x1-x0);
// adjust the angle by 90 degrees since the arrow we rotate is rotated by 90 degrees
angle -= Math.PI / 2;
let p0 = [x0,y0];
// order will be: p1 -> p3 -> p5 -> p7 -> p6 -> p4 -> p2
// formulate the two base points
let p1 = [x0 + width / 2, y0];
let p2 = [x0 - width / 2, y0];
// formulate the upper base points which connect the pointy end with the lengthy thing
let p3 = [x0 + width / 2, y0 + length - head_length];
let p4 = [x0 - width / 2, y0 + length - head_length];
// formulate the outter points of the triangle
let p5 = [x0 + head_width / 2, y0 + length - head_length];
let p6 = [x0 - head_width / 2, y0 + length - head_length];
// end point of the arrow
let p7 = [x0, y0 + length];
p1 = transform(p1,angle,p0);
p2 = transform(p2,angle,p0);
p3 = transform(p3,angle,p0);
p4 = transform(p4,angle,p0);
p5 = transform(p5,angle,p0);
p6 = transform(p6,angle,p0)
p7 = transform(p7,angle,p0);
// move to start first
context.moveTo(p1[0], p1[1]);
context.beginPath();
// start drawing the lines
context.lineTo(p3[0], p3[1]);
context.lineTo(p5[0], p5[1]);
context.lineTo(p7[0], p7[1]);
context.lineTo(p6[0], p6[1]);
context.lineTo(p4[0], p4[1]);
context.lineTo(p2[0], p2[1]);
context.lineTo(p1[0], p1[1]);
context.closePath();
context.arc(x0,y0,width/2,angle-Math.PI,angle)
context.fill();
}
This results in a nicely looking arrow which I used for a chess website:
function RTEShape()
{
this.x = 50;
this.y = 50;
this.w = 100; // default width and height?
this.h = 100;
this.fill = '#444444';
this.text = "Test String";
this.type;
this.color;
this.size = 6;
// The selection color and width. Right now we have a red selection with a small width
this.mySelColor = '#CC0000';
this.mySelWidth = 2;
this.mySelBoxColor = 'darkred';// New for selection boxes
this.mySelBoxSize = 6;
}
RTEShape.prototype.buildArrow = function(canvas)
{
this.type = "arrow";
// Make sure we don't execute when canvas isn't supported
if (canvas.getContext){
// use getContext to use the canvas for drawing
var ctx = canvas.getContext('2d');
var oneThirdX = this.x + (this.w/3);
var twoThirdX = this.x + ((this.w*2)/3);
var oneFifthY = this.y - (this.y/5);
var twoFifthY = this.y - ((this.y*3)/5);
/**/
//ctx.beginPath();
ctx.moveTo(oneThirdX,this.y); // 125,125
ctx.lineTo(oneThirdX,oneFifthY); // 125,105
ctx.lineTo(this.x*2,oneFifthY); // 225,105
ctx.lineTo(this.x*2,twoFifthY); // 225,65
ctx.lineTo(oneThirdX,twoFifthY); // 125,65
ctx.lineTo(oneThirdX,(this.y/5)); // 125,45
ctx.lineTo(this.x,(this.y+(this.y/5))/2); // 45,85
ctx.fillStyle = "green";
ctx.fill();
ctx.fillStyle = "yellow";
ctx.fillRect(this.x,this.y,this.w,this.h);
} else {
alert('Error on buildArrow!\n'+err.description);
}
}
Hello and thank you very much for your suggestions.
May I suggest you drop the cumbersome atan ? You may as well use linear algebra to add or subtract angles:
var cospix=0.866025404; //cosinus of pi/6
function canvas_arrow(context, fromx, fromy, tox, toy) {
ctx.strokeStyle = '#AA0000';
var headlen = 10; // length of head in pixels
var dx = tox - fromx;
var dy = toy - fromy;
var length = Math.sqrt(dy*dy + dx*dx); //length of arrow
var sina = dy/length, cosa = dx/length; //computing sin and cos of arrow angle
var cosp=cosa*cospix-0.5*sina, cosm=cosa*cospix+0.5*sina,
sinp=cosa*0.5+cospix*sina, sinm=cospix*sina-cosa*0.5;
//computing cos and sin of arrow angle plus pi/6, respectively minus pi/6
//(p for plus, m for minus at the end of variable's names)
context.moveTo(fromx, fromy);
context.lineTo(tox, toy);
context.lineTo(tox - headlen * cosm, toy - headlen * sinm); //computing coordinates using the cos and sin computed above
context.moveTo(tox, toy);
context.lineTo(tox - headlen * cosp, toy - headlen * sinp); //computing coordinates using the cos and sin computed above
}
You can push your matrix, rotate it, draw your arrow and then pop the matrix.
I've been struggeling with this for quite some time now.
I needed to to this in both javascript and c#. For javascript i found a nice library jCanvas.
My main problem was drawing nicely looking arrow heads, which jCanvas does perfectly.
For my c# project i reverse engineered the jCanvas code.
Hopefully this helps somebody
Here is the working solution
function draw_arrow(ctx,fx,fy,tx,ty){ //ctx is the context
var angle=Math.atan2(ty-fy,tx-fx);
ctx.moveTo(fx,fy); ctx.lineTo(tx,ty);
var w=3.5; //width of arrow to one side. 7 pixels wide arrow is pretty
ctx.strokeStyle="#4d4d4d"; ctx.fillStyle="#4d4d4d";
angle=angle+Math.PI/2; tx=tx+w*Math.cos(angle); ty=ty+w*Math.sin(angle);
ctx.lineTo(tx,ty);
//Drawing an isosceles triangle of sides proportional to 2:7:2
angle=angle-1.849096; tx=tx+w*3.5*Math.cos(angle); ty=ty+w*3.5*Math.sin(angle);
ctx.lineTo(tx,ty);
angle=angle-2.584993; tx=tx+w*3.5*Math.cos(angle); ty=ty+w*3.5*Math.sin(angle);
ctx.lineTo(tx,ty);
angle=angle-1.849096; tx=tx+w*Math.cos(angle); ty=ty+w*Math.sin(angle);
ctx.lineTo(tx,ty);
ctx.stroke(); ctx.fill();
}
While this question is mostly answered, I find the answers lacking. The top answer produces ugly arrows, many go beyond the point when using a width other than 1, and others have unnecessary steps.
This is the simplest answer that draws a pretty arrow head (proper triangle filled with color), and retracts the point of the arrow to consider the width of lines.
ctx = document.getElementById('canvas').getContext('2d');
/* Draw barrier */
ctx.beginPath();
ctx.moveTo(50, 30);
ctx.lineTo(450, 30);
ctx.stroke();
draw_arrow(50, 180, 150, 30);
draw_arrow(250, 180, 250, 30);
draw_arrow(450, 180, 350, 30);
function draw_arrow(x0, y0, x1, y1) {
const width = 8;
const head_len = 16;
const head_angle = Math.PI / 6;
const angle = Math.atan2(y1 - y0, x1 - x0);
ctx.lineWidth = width;
/* Adjust the point */
x1 -= width * Math.cos(angle);
y1 -= width * Math.sin(angle);
ctx.beginPath();
ctx.moveTo(x0, y0);
ctx.lineTo(x1, y1);
ctx.stroke();
ctx.beginPath();
ctx.lineTo(x1, y1);
ctx.lineTo(x1 - head_len * Math.cos(angle - head_angle), y1 - head_len * Math.sin(angle - head_angle));
ctx.lineTo(x1 - head_len * Math.cos(angle + head_angle), y1 - head_len * Math.sin(angle + head_angle));
ctx.closePath();
ctx.stroke();
ctx.fill();
}
<canvas id="canvas" width="500" height="180"></canvas>