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Draw a parabola with 3 given points canvas

I need to draw a perfect curve / parabola in an html5 canvas. The 3 {x;y} coordinates of the points are given. I tried with a bezierCurveTo or a quadraticCurveTo, but the curve won't go in the middle point.
The result I want ( the blue doted curve, and the blue one ) : Wanted result
The result I have : Current result
Code :
ctx.strokeStyle = '#00478a';
ctx.lineWidth = 1.5;
ctx.beginPath();
ctx.moveTo(x1AtRatio, 30);
ctx.quadraticCurveTo(criticalSectionAtRatio, 100, x2AtRatio, 30);
ctx.stroke();
Where x1AtRatio - x2AtRatio - criticalSectionAtRatio are the given x by user input and 30 - 100 - 30 are the y

Control points define slopes
You will need to use two beziers as the curve will not pass through the control point.
The control points set the slopes of the curve out from the last point and in to the next point.
The example (below) draws a parabola using two curves. The function drawCurve()
I draw it twice once scaled and once normal.
Control points are blue.
The three points on the curve are red
The slopes are in green.
For example
const ctx = canvas.getContext("2d");
// drawScaled
ctx.setTransform(2,0,0,2,-50, -55);
drawAll();
// without scale
ctx.setTransform(1,0,0,1,-50, 0);
drawAll();
function drawCurve() {
ctx.beginPath();
ctx.strokeStyle = "#000";
ctx.moveTo(100 - 30, 30); // start left side
ctx.quadraticCurveTo(
100 - 30 / 2, 100, // controls point sets slope out from start and into center
100, 100 // center point
);
ctx.quadraticCurveTo(
100 + 30 / 2, 100, // control point sets slope out from center and into last point
100 + 30, 30 // last point
);
ctx.stroke();
}
function drawAll() {
// points on curve
drawPoint(100-30, 30);
drawPoint(100, 100);
drawPoint(100+30, 30);
// Control points
drawPoint(100 - 30 / 2, 100, "#00F");
drawPoint(100 + 30 / 2, 100, "#00F");
// Draw line through all points to show slopes
drawLine(100-30, 30, 100 - 30 / 2, 100);
drawLine(100 - 30 / 2, 100, 100, 100);
drawLine(100, 100, 100 + 30 / 2, 100);
drawLine(100 + 30 / 2, 100, 100 + 30, 30);
// Draw curve
drawCurve();
}
function drawPoint(x,y,col = "red") {
ctx.fillStyle = col;
ctx.beginPath();
ctx.arc(x, y, 2, 0, Math.PI * 2);
ctx.fill();
}
function drawLine(x,y, x1, y1, col = "#0A08") {
ctx.strokeStyle = col;
ctx.beginPath();
ctx.lineTo(x, y);
ctx.lineTo(x1, y1);
ctx.stroke();
}
canvas {
border: 1px solid black;
}
<canvas id="canvas"></canvas>

How to draw a rect within another one

I got a code that based on user's input, draws a rectangle. I need to create another rect within the first one as shown in the picture below.
https://imgur.com/zbMNXFv
I got the following code until now.
https://codepen.io/newtz/pen/MWWKRYG
function draw() {
context.clearRect(0, 0, canvas.width, canvas.height);
context.beginPath();
context.strokeRect(zoomedX(50), zoomedY(50), zoomed(width), zoomed(height));
}

Each time you draw a rectangle, you can draw a smaller one inside.
For example, if the width and height equal 100, then you will call:
context.strokeRect(0, 0, 100, 100);
Then you can draw the smaller rectangle using the previous values:
context.strokeRect(0 + 10, 0 + 10, 100 - 20, 100 - 20);
To allow this, you have to give parameters to your draw() function, so can can make the position and size of the new rectangles vary:
draw() => draw(x, y, width, height)
In your code, declare two variables x and y and assign default values (50 in your code).
Then your draw() function:
function draw() {
context.clearRect(0, 0, canvas.width, canvas.height);
context.beginPath();
context.strokeRect(zoomedX(50), zoomedY(50), zoomed(width), zoomed(height));
}
Change like this:
function draw(x, y, width, height) {
context.beginPath();
context.strokeRect(zoomedX(x), zoomedY(y), zoomed(width), zoomed(height));
}
Now it has parameters. We also need to remove the clearing instruction: this function is designed to draw, only this. Moreover, if you don't remove the clearing line, each drawing will remove previously drawn rectangles.
Finally, call the draw(...) functions in your callbacks:
$width.addEventListener("keyup", function () {
width = this.value;
context.clearRect(0, 0, canvas.width, canvas.height);
draw(x, y, width, height);
draw(x + 5, y + 5, width - 10, height - 10);
draw(x + 10, y + 10, width - 20, height - 20);
}, false);
Same for the height. So each time you update the width or the height value, it will draw 3 nested rectangles.
Here's a Fiddle: https://jsfiddle.net/nmerinian/jzeygapL/4/
For the test, I created a drawMultiple(x, y, width, height) function which draws three rectangles:
function drawMultiple(x, y, width, height) {
draw(x, y, width, height);
draw(x + 5, y + 5, width - 10, height - 10);
draw(x + 10, y + 10, width - 20, height - 20);
}

Create a cone with shadows

I would like to create a circle with a special shadow effect.
Like this one:
.
It should look like a cone in wood or metal.
I tried to do something with the radial gradiant in canvas but i can't creat that special Effekt.
I don´t know how to create the this shadow effect.
Can somebody give me a tip or help me?
This is what I've tried: JSFiddle
var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');
var x = 100,
y = 75,
innerRadius = 1,
outerRadius = 70,
radius = 60;
ctx.arc(x, y, radius, 0, 2 * Math.PI);
var gradient = ctx.createRadialGradient(x, y, innerRadius, x, y, outerRadius);
gradient.addColorStop(0, '#FF9900');
gradient.addColorStop(1, '#FFFFFF');
ctx.fillStyle = gradient;
ctx.fill();
Greetings from Germany
Matzuman

There is unfortunately no gradient type in canvas which allow you to specify a radiant gradient. You have to provide a mechanism to do so manually.
You could use a shadow approach drawing the object off-screen while offsetting the shadow so it overlapped the cone base. One for light and one for dark side.
You can achieve a better effect though by drawing a "light/dark stripe" rotated around the center at varying opacity levels depending on angle.
Example "rendering" the cone
This example allow you to adjust parameters like how visible the reflections should be, what colors, size of cone etc. Experiment with the values to find what you're after.
To offset the "light source", just rotate one time initially with the angle you need before rendering the overlapping stripes.
var ctx = document.querySelector("canvas").getContext("2d"),
cx = 75, cy = 75, radius = 70, // for arc/cone
maxOpacity = 1, // max opacity (will accumulate)
angleStep = 0.01, // "resolution"
angle = 0, t; // current angle and opacity
// draw base of cone
ctx.fillStyle = "rgb(139, 108, 33)";
ctx.arc(cx, cy, radius, 0, 2*Math.PI);
ctx.fill();
// now rotate around center drawing a white stripe at varying opacity
// depending on angle
ctx.fillStyle = "rgb(181, 159, 109)";
ctx.translate(cx, cy); // pivot for rotation = center of cone
// half of the cone is done with white overlay
for(angle = 0; angle < Math.PI; angle += angleStep) {
// calculate t [0,1] based on angle. Multiply with max opacity
t = (angle < Math.PI * 0.5 ? angle : Math.PI - angle) / Math.PI * maxOpacity;
ctx.rotate(angleStep); // increase angle by step
ctx.globalAlpha = t; // set opacity to t
drawStripe(); // draw a small segment / "stripe"
}
// the other half of the cone is done with dark overlay
ctx.fillStyle = "rgb(95, 54, 5)";
for(angle = 0; angle < Math.PI; angle += angleStep) {
t = (angle < Math.PI * 0.5 ? angle : Math.PI - angle) / Math.PI * maxOpacity;;
ctx.rotate(angleStep);
ctx.globalAlpha = t;
drawStripe();
}
function drawStripe() {
ctx.beginPath();
ctx.lineTo(0, 0);
ctx.arc(0, 0, radius, 0, angleStep*5);
ctx.fill();
}
// top off by drawing a smaller circle on top
ctx.setTransform(1,0,0,1,0,0); // reset transforms
ctx.globalAlpha = 1; // reset alpha
ctx.fillStyle = "rgb(130, 97, 32)"; // draw in a topping
ctx.beginPath();
ctx.arc(cx, cy, radius * 0.25, 0, 2*Math.PI);
ctx.fill();
<canvas></canvas>
Example approximating a cone shape with shadows
var ctx = document.querySelector("canvas").getContext("2d"),
cx = 75, cy = 75, radius = 70, offset = radius * 2;
// draw base of cone
ctx.fillStyle = "rgb(139, 108, 33)";
ctx.arc(cx, cy, radius, 0, 2*Math.PI);
ctx.fill();
// offset next shape, couter-offset its shadow
ctx.translate(cx, offset*2); // make sure shape is drawn outside
ctx.scale(0.75, 1); // make shadow more narrow
ctx.globalCompositeOperation = "source-atop"; // comp. on top of existing pixels
ctx.shadowOffsetY = -offset * 1.1; // counter-offset shadow
ctx.shadowBlur = 25; // some blur
ctx.shadowColor = "rgba(181, 159, 109, 1)"; // highlight color
ctx.beginPath(); // draw new shape
ctx.arc(0, 0, radius * 0.6, 0, 2*Math.PI); // reduce radius ~50%
ctx.fill();
ctx.shadowOffsetY = -offset * 1.8; // counter-offset shadow
ctx.shadowColor = "rgba(95, 54, 5, 0.7)"; // shadow
ctx.beginPath(); // draw new shape
ctx.arc(0, 0, radius * 0.6, 0, 2*Math.PI); // reduce radius ~50%
ctx.fill();
// top off by drawing a smaller circle on top
ctx.setTransform(1,0,0,1,0,0); // reset transforms
ctx.globalCompositeOperation = "source-over"; // reset comp. mode
ctx.fillStyle = "rgb(130, 97, 32)"; // draw in a topping
ctx.beginPath();
ctx.arc(cx, cy, radius * 0.25, 0, 2*Math.PI);
ctx.fill();
<canvas></canvas>

Try using
ctx.shadowBlur = 40;
ctx.shadowColor = "#FF9900";
before drawing the circle.
shadowBlur sets the size of the shadow, you can set it to 0 if you want to disable it.
shadowColor is pretty self explanatory.

Problems with using fill() in a canvas - illogical behaviour

I'm trying to learn how to draw/fill different shapes by using canvas and JavaScript, but my shapes doesn't get filled in the way I want them to, at all. The body of my HTML-document is this simple line:
<canvas id="canvas1" width="500" height="500"></canvas>
And my JavaScript-file looks like this:
function draw() {
var canvas1 = document.getElementById('canvas1');
if(canvas1.getContext) {
var ctx = canvas1.getContext('2d');
var gradient = ctx.createLinearGradient(0, 0, 50, 0);
gradient.addColorStop(0, "blue");
gradient.addColorStop(1, "white");
ctx.beginPath();
ctx.moveTo(25,25);
ctx.lineTo(100, 25);
ctx.stroke();
ctx.moveTo(25, 50);
ctx.bezierCurveTo(25, 50, 50, 80, 75, 60)
ctx.fillStyle = "black";
ctx.fill();
ctx.beginPath();
ctx.moveTo(75, 100);
ctx.arc(50, 100, 25, 0, Math.PI*2, true);
ctx.fillStyle = "black";
ctx.fill();
ctx.beginPath();
ctx.fillStyle = gradient;
ctx.arc(75, 150, 25, 0, Math.PI*2, true);
ctx.fill();
}
}
But this is the result:
And I don't get it. I've tried filling my second circle with every other color, and that works just fine. Also if I remove the last "ctx.beginPath();" my first circle gets painted in gradient. But I can't get the same bug to work on my second circle by changing the position of the code or something. And every guide I've found tells me that this should work, as far as I understand it.

Gradients are defined with an absolute position so if you draw your circle outside the area defined by the gradient it will appear transparent instead of filled.
There is no need to close the path as the fill() method will close it implicit for you, but just make sure the coordinates in the gradient covers the area you want to fill.
Instead of calculating for each time you need to fill an arc you could create a generic wrapper function which takes a position and colors to fill (adjust as needed):
A demo here
/**
* Fills a circle with a two-color gradient.
* #param {Number} cx - center X
* #param {Number} cy - center Y
* #param {Number} radius - radius
* #param {String} col1 - start color as CSS color string
* #param {String} col2 - end color as CSS color string
* #param {Boolean} [horiz=false] - Set true for horizontal gradient
*/
function fillCircle(cx, cy, radius, col1, col2, horiz) {
var x = cx - radius,
y = cy - radius,
d = radius * 2,
gradient;
if (horiz) {
gradient = ctx.createLinearGradient(x, 0, x+d, d);
}
else {
gradient = ctx.createLinearGradient(0, y, 0, y+d);
}
gradient.addColorStop(0, col1);
gradient.addColorStop(1, col2);
ctx.fillStyle = gradient;
ctx.beginPath();
ctx.arc(cx, cy, radius, 0, 2*Math.PI);
ctx.fill();
}
Then just use it this way:
fillCircle(200, 200, 70, 'yellow', 'red');
The last flag is optional here and makes a horizontal gradient if set to true.

Use ctx.closePath(); After each separate shape/line you want is done.
ctx.beginPath();
ctx.moveTo(25, 50);
ctx.bezierCurveTo(25, 50, 50, 80, 75, 60)
ctx.strokeStyle = "black";
ctx.stroke();
ctx.closePath();
The gradient needs to be set with the coordinates matching where your shape is on the canvas.
You have the gradient starting at 0,0,
var gradient = ctx.createLinearGradient(0, 0, 50, 0);
But your circle is locates at 25,50. Make your gradient coordinates the same as you circle coordinates.
http://jsfiddle.net/bC75t/1/

clearing circular regions from HTML5 Canvas

It appears the only way to clear a region from a canvas is to use the clearRect() command - I need to clear a circle (I am masking out areas from a filled canvas, point lights in this specific case) and despite all attempts it does not seem possible.
I tried drawing a circle with an alpha value of 0 but simply nothing would appear unless the alpha was higher (which is counter to the point :P) - I assume because a contex.fill() draws it as an add rather than a replace.
Any suggestions on how I might be able to (quickly) clear circles for mask purposes?

Use .arc to create a circular stroke and then use .clip() to make that the current clipping region.
Then you can use .clearRect() to erase the whole canvas, but only the clipped area will change.

If you're making a game or something where squeezing every bit of performance matters, have a look at how I made this answer: Canvas - Fill a rectangle in all areas that are fully transparent
Specifically, the edit of the answer that leads to this: http://jsfiddle.net/a2Age/2/
The huge plusses here:
No use of paths (slow)
No use of clips (slow)
No need for save/restore (since there's no way to reset a clipping region without clearing all state(1), it means you must use save/restore also)
(1) I actually complained about this and resetClip() has been put in the offical spec because of it, but it will be a while before browsers implement it.
Code
var ctx = document.getElementById('canvas1').getContext('2d'),
ambientLight = 0.1,
intensity = 1,
radius = 100,
amb = 'rgba(0,0,0,' + (1 - ambientLight) + ')';
addLight(ctx, intensity, amb, 200, 200, 0, 200, 200, radius); // First circle
addLight(ctx, intensity, amb, 250, 270, 0, 250, 270, radius); // Second circle
addLight(ctx, intensity, amb, 50, 370, 0, 50, 370, radius, 50); // Third!
ctx.fillStyle = amb;
ctx.globalCompositeOperation = 'xor';
ctx.fillRect(0, 0, 500, 500);
function addLight(ctx, intsy, amb, xStart, yStart, rStart, xEnd, yEnd, rEnd, xOff, yOff) {
xOff = xOff || 0;
yOff = yOff || 0;
var g = ctx.createRadialGradient(xStart, yStart, rStart, xEnd, yEnd, rEnd);
g.addColorStop(1, 'rgba(0,0,0,' + (1 - intsy) + ')');
g.addColorStop(0, amb);
ctx.fillStyle = g;
ctx.fillRect(xStart - rEnd + xOff, yStart - rEnd + yOff, xEnd + rEnd, yEnd + rEnd);
}
canvas {
border: 1px solid black;
background-image: url('http://placekitten.com/500/500');
}
<canvas id="canvas1" width="500" height="500"></canvas>

Given the requirements, these answers are fine. But lets say you're like me and you have additional requirements:
You want to "clear" a part of a shape that may be partially outside the bounds of the shape you're clearing.
You want to see the background underneath the shape instead of clearing the background.
For the first requirement, the solution is to use context.globalCompositeOperation = 'destination-out' The blue is the first shape and the red is the second shape. As you can see, destination-out removes the section from the first shape.
Here's some example code:
explosionCanvasCtx.fillStyle = "red"
drawCircle(explosionCanvasCtx, projectile.radius, projectile.radius, projectile.radius)
explosionCanvasCtx.fill()
explosionCanvasCtx.globalCompositeOperation = 'destination-out' #see https://developer.mozilla.org/samples/canvas-tutorial/6_1_canvas_composite.html
drawCircle(explosionCanvasCtx, projectile.radius + 20, projectile.radius, projectile.radius)
explosionCanvasCtx.fill()
Here's the potential problem with this: The second fill() will clear everything underneath it, including the background. Sometimes you'll want to only clear the first shape but you still want to see the layers that are underneath it.
The solution to that is to draw this on a temporary canvas and then drawImage to draw the temporary canvas onto your main canvas. The code will look like this:
diameter = projectile.radius * 2
console.log "<canvas width='" + diameter + "' height='" + diameter + "'></canvas>"
explosionCanvas = $("<canvas width='" + diameter + "' height='" + diameter + "'></canvas>")
explosionCanvasCtx = explosionCanvas[0].getContext("2d")
explosionCanvasCtx.fillStyle = "red"
drawCircle(explosionCanvasCtx, projectile.radius, projectile.radius, projectile.radius)
explosionCanvasCtx.fill()
explosionCanvasCtx.globalCompositeOperation = 'destination-out' #see https://developer.mozilla.org/samples/canvas-tutorial/6_1_canvas_composite.html
durationPercent = (projectile.startDuration - projectile.duration) / projectile.startDuration
drawCircle(explosionCanvasCtx, projectile.radius + 20, projectile.radius, projectile.radius)
explosionCanvasCtx.fill()
explosionCanvasCtx.globalCompositeOperation = 'source-over' #see https://developer.mozilla.org/samples/canvas-tutorial/6_1_canvas_composite.html
ctx.drawImage(explosionCanvas[0], projectile.pos.x - projectile.radius, projectile.pos.y - projectile.radius) #center

You have a few options.
Firstly, here's a function we'll use to fill a circle.
var fillCircle = function(x, y, radius)
{
context.beginPath();
context.arc(x, y, radius, 0, 2 * Math.PI, false);
context.fill();
};
clip()
var clearCircle = function(x, y, radius)
{
context.beginPath();
context.arc(x, y, radius, 0, 2 * Math.PI, false);
context.clip();
context.clearRect(x - radius - 1, y - radius - 1,
radius * 2 + 2, radius * 2 + 2);
};
See this on jsFiddle.
globalCompositeOperation
var clearCircle = function(x, y, radius)
{
context.save();
context.globalCompositeOperation = 'destination-out';
context.beginPath();
context.arc(x, y, radius, 0, 2 * Math.PI, false);
context.fill();
context.restore();
};
See this on jsFiddle.
Both gave the desired result on screen, however the performance wasn't sufficient in my case as I was drawing and clearing a lot of circles each frame for an effect. In the end I found a different way to get a similar effect to what I wanted by just drawing thicker lines on an arc, but the above may still be useful to someone having different performance requirements.

Use canvas.getContext("2d").arc(...) to draw a circle over the area with the background colour?
var canvas = document.getElementById("myCanvas");
var context = canvas.getContext("2d");
context.arc(x, y, r, 0, 2*Math.PI, false);
context.fillStyle = "#FFFFFF";
context.fill();

Where x = left position, y = right position, r = radius, and ctx = your canvas:
function clearCircle( x , y , r ){
for( var i = 0 ; i < Math.round( Math.PI * r ) ; i++ ){
var angle = ( i / Math.round( Math.PI * r )) * 360;
ctx.clearRect( x , y , Math.sin( angle * ( Math.PI / 180 )) * r , Math.cos( angle * ( Math.PI / 180 )) * r );
}
}