// helper functions. NOT part of the answer
var canvas = document.getElementById("canV");
var ctx = canvas.getContext("2d");
var mouseButton = 0;
canvas.addEventListener('mousedown',function(event){mouseButton = event.which;});
canvas.addEventListener('mouseup' ,function(){mouseButton = 0;});
canvas.addEventListener("contextmenu", function(e){ e.preventDefault();}, false);
var currentSurface = ctx;
var createImage = function (w, h) {// create an canvas image of size w,h and attach context 2d
var image = document.createElement("canvas");
image.width = w;
image.height = h !== undefined?h:w;
currentSurface = image.ctx = image.getContext("2d");
return image;
}
var setColour = function (fillC, strokeC, lineW) {
currentSurface.fillStyle = fillC !== undefined ? fillC : currentSurface.fillStyle;
currentSurface.strokeStyle = strokeC !== undefined ? strokeC : currentSurface.strokeStyle;
currentSurface.lineWidth = lineW !== undefined ? lineW : currentSurface.lineWidth;
}
var circle = function(x,y,r,how){
currentSurface.beginPath();
currentSurface.arc(x,y,r,0,Math.PI*2);
how = how.toLowerCase().replace(/[os]/g,"l"); // how to draw
switch(how){
case "f": // fill
currentSurface.fill();
break;
case "l":
currentSurface.stroke();
break;
case "lf":
currentSurface.stroke();
currentSurface.fill();
break;
case "fl":
currentSurface.fill();
currentSurface.stroke();
break;
}
}
function createGradImage(size,col1,col2){
var image = createImage(size);
var g = currentSurface.createLinearGradient(0,0,0,currentSurface.canvas.height);
g.addColorStop(0,col1);
g.addColorStop(1,col2);
currentSurface.fillStyle = g;
currentSurface.fillRect(0,0,currentSurface.canvas.width,currentSurface.canvas.height);
return image;
}
function createColouredBall (ballR,col) {
var ball = createImage(ballR*2);
var unit = ballR/100;
setColour("black");
circle(ballR,ballR,ballR,"f");
setColour("hsl("+col+",100%,30%)");
circle(ballR-unit*3,ballR-unit*3,ballR-unit*7,"f");
setColour("hsl("+col+",100%,50%)");
circle(ballR-unit*10,ballR-unit*10,ballR-unit*16,"f");
setColour("White");
circle(ballR-unit*50,ballR-unit*50,unit*16,"f");
return ball;
}
//===================================
// _
// /_\ _ _ ____ __ _____ _ _
// / _ \| ' \(_-< V V / -_) '_|
// /_/ \_\_||_/__/\_/\_/\___|_|
//
// ==================================
// Answer code
// lazy coder variables
var w = canvas.width;
var h = canvas.height;
// ball is simulated 5cm
var pixSize = 0.24; // in millimeters for simulation
// Gravity is 9.8 ms^2 so convert to pixels per frame squared
// Assuming constant 60 frames per second. ()
var gravity = 9800*pixSize/60;
gravity *= 0.101; // because Earth's gravity is stupidly large let's move to Pluto
// ball 5cm
var ballR = (25/pixSize)/2; // radius is 2.5cm for 5cm diamiter ball
var ballX = w/2; // get center of canvas
var ballY = ballR+3; // start at the top
var ballDX = (Math.random()-0.5)*15; // start with random x speed
ballDX += ballDX < 0 ? -5 : 5; // make sure it's not too slow
var ballDY = 0; // star with no downward speed;
var ballLastX = ballX;
var ballLastY = ballY;
//create an image of the Ball
var ball = createColouredBall(ballR,Math.floor(Math.random()*360)); // create an image of ball
// create a background. Image is small as it does not have much detail in it
var background = createGradImage(16,"#5af","#08C");
// time to run for
// Function to draw ball without motion blur
// draws the ball with out motion blurred.
// image is the image to draw
// px and py are the x and y position to draw the ball
var drawImage = function(image , px, py){
ctx.drawImage(image, px, py);
}
// draws the ball motion blurred. This introduces extra complexity
var drawMotionBlur = function(image, px, py, dx, dy, steps){
var i, sx, sy;
sx = dx / steps;
sy = dy / steps;
px -= dx; // move back to start position
py -= dy;
ctx.globalAlpha = 1 / (steps * 0.8); // set alpha to slightly higher for each step
for(i = 0; i < steps; i+= 1){
ctx.drawImage(image, px + i * sx, py + i * sy);
}
ctx.globalAlpha = 1; // reset alpha
}
// style for text
ctx.fillStyle = "white";
ctx.strokeStyle = "black";
ctx.textAlign = "center";
ctx.lineJoin = "round"; // stop some letters getting ears.
ctx.lineWidth = 3;
ctx.textBaseline = "bottom";
var textCenterX = w/2;
var maxHeight = Infinity;
var lastMaxHeight = ballY;
var slowMotion = false; // slow motion flag
var frameTravel = true; // use frame travel in collision test
const bSteps = 10; // the fixed motion blur steps
var update = function(){
var str, blurSteps;
blurSteps = 10; // motion blur ball render steps. This varies depending on the the collision inter frame time.
if(mouseButton === 1){
slowMotion = ! slowMotion;
mouseButton = 0;
}
if(mouseButton === 3){
frameTravel = ! frameTravel;
ballX = w / 2; // get center of canvas
ballY = ballR + 3; // start at the top
ballDY = 0; // start at 0 y speed
mouseButton = 0;
}
// clear the canvas with background canvas image
ctx.drawImage(background, 0, 0, w, h);
ballDY += gravity; // acceleration due to grav
// add deltas to ball position
ballX += ballDX;
ballY += ballDY;
// test for collision on left and right walls. Need to
// adjust for motion blur
if (ballX < ballR) {
ballDX = -ballDX; // refect delta x
if (frameTravel) { // if using frame travel time
// blur the outward traveling ball only for the time it has been traveling away
blurSteps = Math.ceil(10 * ((ballX - ballR) / -ballDX));
// get position it should have traveled since
ballX -= (ballX - ballR) * 2;
}else{
ballX = ballR; // move ball to touching wall
blurSteps = 1; // there is no outward motion
}
} else
if (ballX > w - ballR) {
ballDX = -ballDX;
if (frameTravel) { // if using frame travel time
// blur the outward traveling ball only for the time it has been traveling away
blurSteps = Math.ceil(10 * ((ballX - (w - ballR)) / -ballDX));
ballX -= (ballX - (w - ballR)) * 2;
}else{
ballX = w - ballR; // move ball to touching wall
blurSteps = 1; // there is no outward motion
}
}
// Test ball hit ground
if (ballY > h - ballR) {
ballDY = -ballDY;
// to show max height
lastMaxHeight = maxHeight;
maxHeight = Infinity;
if (frameTravel) { // if using frame travel time
// blur the outward traveling ball only for the time it has been traveling away
blurSteps = Math.ceil(10 * ((ballY - (h - ballR)) / -ballDY));
ballY -= (ballY - (h - ballR)) * 2;
}else{
ballY = h - ballR; // move ball to touching wall
blurSteps = 1; // there is no outward motion
}
}
// draw the ball motion blured
drawMotionBlur(
ball, // image to draw
ballX - ballR, // offset radius
ballY - ballR,
ballDX * (blurSteps / bSteps), // speed and adjust for bounced
ballDY * (blurSteps / bSteps),
blurSteps // number of blurs
);
// show max height. Yes it is min but everything is upside down.
maxHeight = Math.min(maxHeight,ballY);
lastMaxHeight = Math.min(ballY,lastMaxHeight);
// show max height
ctx.font = "12px arial black";
ctx.beginPath();
ctx.moveTo(0, lastMaxHeight - ballR);
ctx.lineTo(w, lastMaxHeight - ballR);
ctx.stroke();
ctx.fillText("Max height.", 40, lastMaxHeight - ballR + 6);
str = ""; // display status string
if(slowMotion){ // show left click help
str += "10fps."
ctx.fillText("click for 60fps.", textCenterX, 43);
}else{
str += "60fps."
ctx.fillText("click for 10fps.", textCenterX, 43);
}
if(frameTravel){ // show mode and right click help
str += " Mid frame collision.";
ctx.fillText("Right click for Simple collision", textCenterX,55);
}else{
str += " Simple collision.";
ctx.fillText("Right click for mid frame collision", textCenterX,55);
}
// display help text
ctx.font = "18px arial black";
ctx.strokeText(str, textCenterX, 30);
ctx.fillText(str, textCenterX, 28);
if(slowMotion){
setTimeout(update, 100); // show in slow motion
}else{
requestAnimationFrame(update); // request next frame (1/60) seconds from now
}
// all done
}
update(); // to start the ball rolling
.canC { width:500px; height:500px;}
<canvas class="canC" id="canV" width=500 height=500></canvas>
