I'm working on a top down shooter, and basically the character starts in the middle of the screen, inside a rect (Safe Zone). The character isn't static, the scene is. He can walk around, inside the safe zone. As soon as the character walks out of this zone, the statics switch over ... the character is static, and the scene is moving around him.
The only problem with this is that I can't walk back into the safe zone, allowing my statics to switch over again.
So I'm forever stuck outside the zone. All I'm doing is checking to see whether my character position is 'within' a certain value (which is the rect), if he's out - then my KeyControls then affect the Map, not the character.
So this is my boundary (Safe Zone) checker:
//Walking Window Boundaries
var boundarySizeX = 400;
var boundarySizeY = 200;
ctxWalkBoundary.fillStyle = "grey";
ctxWalkBoundary.fillRect(gameWidth/2 - boundarySizeX/2, gameHeight/2 - boundarySizeY/2, boundarySizeX, boundarySizeY);
ctxWalkBoundary.clearRect((gameWidth/2 - boundarySizeX/2) + 2, (gameHeight/2 - boundarySizeY/2) + 2, (boundarySizeX) - 4, (boundarySizeY) -4 );
var paddingLeft = (gameWidth - boundarySizeX) / 2;
var paddingRight = gameWidth - ((gameWidth - boundarySizeX) / 2) - this.charWidth;
var paddingTop = (gameHeight - boundarySizeY) / 2;
var paddingBottom = gameHeight - ((gameHeight - boundarySizeY) / 2) - this.charHeight;
var paddingY = (gameHeight - boundarySizeY) / 2;
if(this.drawX > paddingLeft && this.drawX < paddingRight && this.drawY > paddingTop && this.drawY < paddingBottom){
inBoundary = true;
}
else{
inBoundary = false;
console.debug("Out Of Boundary!");
}
And this is my KeyChecker:
//UP
if(this.isUpKey){
//Character movement
if(inBoundary){
this.drawX = this.drawX + this.speed * Math.cos((this.characterRotation));
this.drawY = this.drawY + this.speed * Math.sin((this.characterRotation));
}
else{
mapPositionX = mapPositionX - this.speed * Math.cos((this.characterRotation));
mapPositionY = mapPositionY - this.speed * Math.sin((this.characterRotation));
}
My character always faces my mouse (rotates). So every time the user pressed W, or Up - the character will always walk towards the mouse position.
Any ideas how I can get back into the zone?
----- Update -----
I guess I need to somehow check if I'm still facing outside the safe zone - if not, then reverse he statics.
Just separate two things: map and view.
Map is your level, you keep there objects with coordinates.
View is part of map you see on screen.
View has 4 properties: x, y, widht and height, where widht and height most likely is your canvas size.
If your game start with view on map point (0,0) in the middle of screen, then your view (x,y) coordinates should be (-view.width/2, -view.height/2).
How to draw your character and objects in a view?
In first place, draw only thing that are in the view rectangle.
So loop over all objects and check if
object.x >= view.x && object.x <= view.x + view.width && object.y >= view.y && object.y <= view.y + view.height
(you probably should take into account objects boundaries too).
If object is in view area then draw it at position (object.x - view.x, object.y - view.y).
And that's all about drawing things.
Moving character and view area with him.
Now when your character collides with boundary, in example (colliding with right border)
character.x >= view.x + view.width
then move view to the right by incrementing view.x with some value (that might be character.width/2).
-- UPDATE --
I see that you are not using OOP in your game (actually you are because everything in JS is an object, but you are not using it on purpose).
OOP in JS is a lot of explaining, so I'll try to make it short.
You can make objects like your Character, Map and View using JSON format.
character = {
x: 0,
y: 0,
xspeed: 0,
yspeed: 0,
speed: 0,
radius: 20,
}
map = {
objects: [
{sprite: 'tree.jpg', x: 100, y: 50},
{sprite: 'stone.jpg', x: 20, y: 30},
],
}
view = {
width: canvas.width,
height: canvas.height,
x: -this.width/2,
y: -this.height/2,
}
These are objects that you can use like in your functions like that:
for (var i=0; i++, i<map.objects.length) {
if (map_obj.x >= view.x && map_obj.x <= view.x + view.width && map_obj.y >= view.y && map_obj.y <= view.y + view.height) {
var map_obj = map.objects[i];
draw_sprite(map_obj.sprite, map_obj.x - view.x, map_obj.y - view.y);
}
}
It's not the best way, but it's still much better than yours right now. When you understand what OOP is about you will make it better for your own.
The problem here is that you're waiting for the character to go out of bounds, then moving the map instead. But the flag has already been tripped, and now the character movement is static no matter what direction you go in, because you're already out of bounds.
You could instead detect when a character is going to cross the boundary and prevent it by moving the map instead:
//UP
if(this.isUpKey){
// save the x and y offset to prevent needless recalculation
var xOffset = this.speed * Math.cos(this.characterRotation),
yOffset = this.speed * Math.sin(this.characterRotation);
//Character movement
if( boundaryCheck(xOffset, yOffset) ){
this.drawX = this.drawX + xOffset;
this.drawY = this.drawY + yOffset;
}
else{
mapPositionX = mapPositionX - xOffset
mapPositionY = mapPositionY - yOffset;
}
then boundaryCheck takes the x and y delta's and figures out if they're still in bounds. If the character will still be in bounds, return true and the character will move, otherwise the map will move.
function boundaryCheck(xOffset, yOffset){
// variables set and other stuff done...
if(this.drawX + xOffset > paddingLeft && this.drawX + xOffset < paddingRight && this.drawY + yOffset > paddingTop && this.drawY + yOffset < paddingBottom){
return true;
}
else{
console.debug("Out Of Boundary!");
return false;
}
};
This way you don't have to figure out whether an out of bounds character is moving toward the boundary or not. Instead, you pre-determine where the character is going, and adjust accordingly, always keeping him in boundaries.
Without full code this isn't testable, of course, but I think it should work with what you've given.
Related
This is my first post so I'm trying to make my problem as clear as possible. I'm making a game and I want to improve my collision detection. This is because I want to check what side is being hit and stop the player from moving past it without using something general like if(collision(player, enemy)) player.x = enemy.x - player.w(width) because if the player were to collide with the top it wouldn't keep the player on top.
In the code it checks if any one of the statements is true and then returns it but it doesn't tell me which statement was the one that was equal to true so I can stop the player from moving accordingly, if that makes sense. If you have a more efficient collision detection for me to use it would be greatly appreciated.
I've already tried to make a position variable to be equal to whatever side gets collided into and then stop the player from moving past it but it only works for the left side and won't let my player jump over the enemy or block.
function collision(object1, object2) {
return !(
object1.x > object2.x + object2.w ||
object1.x + object1.w < object2.x ||
object1.y > object2.y + object2.h ||
object1.y + object1.h < object2.y
)
}
//Only works for the left side
if(collision(player, enemy)) player.x = enemy.x - player.w
I expect it to be able to tell me what side is being collided into and then either stop the player from moving past/into it and for the player to be able to be on top of the block/enemy without just being pushed to the left.
You'll want to calculate the distance between the x's and y's and also use the minimum distance that they could be colliding along each axis to find the depth along both axes. Then you can pick the smaller depth and move along that one. Here's an example:
if(collision(player, enemy)){
// Most of this stuff would probably be good to keep stored inside the player
// along side their x and y position. That way it doesn't have to be recalculated
// every collision check
var playerHalfW = player.w/2
var playerHalfH = player.h/2
var enemyHalfW = enemy.w/2
var enemyHalfH = enemy.h/2
var playerCenterX = player.x + player.w/2
var playerCenterY = player.y + player.h/2
var enemyCenterX = enemy.x + enemy.w/2
var enemyCenterY = enemy.y + enemy.h/2
// Calculate the distance between centers
var diffX = playerCenterX - enemyCenterX
var diffY = playerCenterY - enemyCenterY
// Calculate the minimum distance to separate along X and Y
var minXDist = playerHalfW + enemyHalfW
var minYDist = playerHalfH + enemyHalfH
// Calculate the depth of collision for both the X and Y axis
var depthX = diffX > 0 ? minXDist - diffX : -minXDist - diffX
var depthY = diffY > 0 ? minYDist - diffY : -minYDist - diffY
// Now that you have the depth, you can pick the smaller depth and move
// along that axis.
if(depthX != 0 && depthY != 0){
if(Math.abs(depthX) < Math.abs(depthY)){
// Collision along the X axis. React accordingly
if(depthX > 0){
// Left side collision
}
else{
// Right side collision
}
}
else{
// Collision along the Y axis.
if(depthY > 0){
// Top side collision
}
else{
// Bottom side collision
}
}
}
}
Working example
Here's a working example that you can play around with. Use the arrow keys to move the player around.
player = {
x: 9,
y: 50,
w: 100,
h: 100
}
enemy = {
x: 100,
y: 100,
w: 100,
h: 100
}
output = document.getElementById("collisionType");
canvas = document.getElementById("canvas");
ctx = canvas.getContext("2d")
function collision(object1, object2) {
return !(
object1.x > object2.x + object2.w ||
object1.x + object1.w < object2.x ||
object1.y > object2.y + object2.h ||
object1.y + object1.h < object2.y
)
}
function draw() {
ctx.clearRect(0, 0, 400, 400)
ctx.lineWidth = "5"
ctx.beginPath();
ctx.strokeStyle = "red";
ctx.rect(player.x, player.y, player.w, player.h);
ctx.stroke();
ctx.beginPath();
ctx.strokeStyle = "blue";
ctx.rect(enemy.x, enemy.y, enemy.w, enemy.h);
ctx.stroke();
}
function handleCollision() {
if (collision(player, enemy)) {
var playerHalfW = player.w / 2
var playerHalfH = player.h / 2
var enemyHalfW = enemy.w / 2
var enemyHalfH = enemy.h / 2
var playerCenterX = player.x + player.w / 2
var playerCenterY = player.y + player.h / 2
var enemyCenterX = enemy.x + enemy.w / 2
var enemyCenterY = enemy.y + enemy.h / 2
// Calculate the distance between centers
var diffX = playerCenterX - enemyCenterX
var diffY = playerCenterY - enemyCenterY
// Calculate the minimum distance to separate along X and Y
var minXDist = playerHalfW + enemyHalfW
var minYDist = playerHalfH + enemyHalfH
// Calculate the depth of collision for both the X and Y axis
var depthX = diffX > 0 ? minXDist - diffX : -minXDist - diffX
var depthY = diffY > 0 ? minYDist - diffY : -minYDist - diffY
// Now that you have the depth, you can pick the smaller depth and move
// along that axis.
if (depthX != 0 && depthY != 0) {
if (Math.abs(depthX) < Math.abs(depthY)) {
// Collision along the X axis. React accordingly
if (depthX > 0) {
output.innerHTML = "left side collision"
} else {
output.innerHTML = "right side collision"
}
} else {
// Collision along the Y axis.
if (depthY > 0) {
output.innerHTML = "top side collision"
} else {
output.innerHTML = "bottom side collision"
}
}
}
} else {
output.innerHTML = "No collision"
}
}
keyStates = []
function handleKeys() {
if (keyStates[39]) {
player.x += 2 //Move right
} else if (keyStates[37]) {
player.x -= 2 //Move left
}
if (keyStates[38]) {
player.y -= 2 //Move up
}
if (keyStates[40]) {
player.y += 2 //Move down
}
}
function main() {
handleKeys();
draw();
handleCollision();
window.requestAnimationFrame(main);
}
window.onkeydown = function(e) {
keyStates[e.keyCode] = true
}
window.onkeyup = function(e) {
keyStates[e.keyCode] = false
}
main();
<h2 id="collisionType"></h2>
<canvas id="canvas" width='300' height='300'></canvas>
Reacting to the collision
Now that you know the side the collision happened on, it should be fairly trivial to decide how to react. It would be very similar to what you are currently doing for the left side just flip some signs around and change the axis.
Other Considerations
You may want to take into account your player's velocity (if it has one) otherwise the detection may fail.
If the player's velocity is too high, it might 'tunnel' through the enemy and no collision will be detected.
The player's movement can also look jittery if the velocity is not stopped upon collision
Can your objects rotate or have more than 4 sides? If so, you'll probably want to use another method as described below.
Here's a good answer to another post that talks in depth about collision engines
Other Methods
As for other collision detection methods, there's quite a few but one that comes to mind is Separating Axis Theorem which is a little more complex than what you have but will work with more complex convex shapes and rotation. It also tells you the direction and distance needed to move to resolve the collision. Here's a site that has interactive examples and goes in-depth on the subject. It doesn't appear to give a full implementation but those can be found other places.
I'm creating a simulator with the Pixijs engine.
I have a function that is is to be used to draw a wall using the mouse. But I just can't seem to get it right. This is probably more of a math issue than programming.
Anyway, it should work like this:
User clicks on a square tile (start position is set)
Tink library for Pixi returns the (x,y) position just clicked on
relative to the canvas
User clicks on second square (in same row or column) and the
destination point is set
Please take a look at this Fiddle.
https://jsfiddle.net/ensf32e0/18/
I can get it to draw from left to right and from top to bottom. But right to left and bottom to top fail me.
I'm using an object with booleans to keep track of whether the user is putting down a start position or an end position. I'm not sure this isa good implementation.
let wallsObj={
start:{
x:0,
y:0,
done:false
},
end:{
x:1,
y:1,
done:false
}
};
drawTile draws a single tile and drawWallLine is the function with the problem. It takes the start and end positions and draws a tiled line between them:
function drawWallLine (obj,size) {
// Determine whether line is to be drawn horizontally or vertically
// if abs(x2-x1) is larger than abs(y2-y1) then horizontal else vertical
// assign len the the actual length of line
let len = Math.abs(obj.end.x - obj.start.x) > Math.abs(obj.end.y - obj.start.y)
? obj.end.x - obj.start.x
: obj.end.y - obj.start.y;
console.log('drawWallLine', len);
// same as above. If direction is horizontal, mx = 1 and my = 0 and vice versa
// this to be used to determine the polarity of size
let mx = Math.abs(obj.end.x - obj.start.x) > Math.abs(obj.end.y - obj.start.y) ? 1 : 0;
let my = Math.abs(obj.end.x - obj.start.x) < Math.abs(obj.end.y - obj.start.y) ? 1 : 0;
console.log("mx, my", mx, my);
// Get polarity of size. +size is going down or right while -size is going up or left
if (mx === 1) {
size = obj.end.x - obj.start.x >= 0 ? size : size * -1;
}
if (my === 1) {
size = obj.end.y- obj.start.y >= 0 ? size : size * -1;
}
console.log('size', size);
// If going down or right then
if (size >=0 ) {
for (let i = 0; i < Math.abs(len); i+=size) {
drawTile({
len: rs,
x: obj.start.x - obj.start.x%rs - .5 + i * mx,
y: obj.start.y - obj.start.y%rs - .5 + i * my,
line:{
width:1,
color:0xC2C2C2,
alpha:1
},
fill:{
color:0xFFFFFF,
alpha:1
}
});
}
} else { // if going up or left
for (let i = Math.abs(len); i > 0; i+=size) {
drawTile({
len: rs,
x: obj.start.x - obj.start.x%rs - .5 + i * mx,
y: obj.start.y - obj.start.y%rs - .5 + i * my,
line:{
width:1,
color:0xC2C2C2,
alpha:1
},
fill:{
color:0xFFFFFF,
alpha:1
}
});
}
}
}
This is my first time doing something like this so please bear with me. I feel like there's an obvious solution but i'm failing to see it.
Well, a simple fix to your problem is just to make sure that the start x/y is always the lower then the end x/y value. So I added the following code to the beginning of the drawWallLine function:
function drawWallLine (obj, size) {
if(obj.start.x > obj.end.x){
var temp = obj.start.x;
obj.start.x = obj.end.x;
obj.end.x = temp;
}
if(obj.start.y > obj.end.y){
var temp = obj.start.y;
obj.start.y = obj.end.y;
obj.end.y = temp;
}
This basically makes sure that the start value is always the lower value by swapping between start and end if start is bigger than end.
Here is the updated working fiddle: https://jsfiddle.net/ensf32e0/24/
I am using svg.js to create an animation of a bicyle rider. Semi-complete version here: https://pedalfuriously.neocities.org/. I'm running in to a bit of a problem with moving and rotating svg elements during animation created with requestAnimationFrame (rather than the svg.js built in animation).
If you take a look at the link, and use the cadence slider to make the rider pedal very fast, and then flip the slider quickly all the way back to zero, you can see that his lower leg "jiggles" in a disconnected way. What's really doing my head in is that the postion of the legs are determined in each frame based on an absolute relation to the rotation of the cranks (rather than taking some delta time value to determine movement over that frame).
I think I've been able to confirm what aspect of my code is causing the problem. Here is a minimal example that doesn't exhibit the exact behaviour, but I think illustrates the kind of thing I think is responsible:
var draw = SVG("drawing").viewbox(0, 0, 400, 400)
var origin = {
x: 70,
y: 70
}
var length = 60
var blueLine = draw.group()
blueLine.line(0, 0, 0 + length, 0).move(origin.x, origin.y)
.stroke({
color: "#00f",
width: 4
})
blueLine.angle = 0
var greenLine = draw.group()
greenLine.line(0, 0, 0 + length, 0).move(origin.x, origin.y)
.stroke({
color: "#0f0",
width: 4
})
greenLine.angle = 0
var previous = 0
var dt = 0
var step = function(timestamp) {
dt = timestamp - previous
previous = timestamp
blueLine.angle += 0.18 * dt
blueLine.rotate(blueLine.angle, origin.x, origin.y)
var endX = Math.cos(toRad(blueLine.angle)) * length
var endY = Math.sin(toRad(blueLine.angle)) * length
// Comment out this line, and rotation works fine
greenLine.move(endX, endY)
greenLine.angle = blueLine.angle - 10
// Comment out this line, and movement works fine
greenLine.rotate(greenLine.angle, origin.x, origin.y)
// But they don't work together. If I both move and rotate
// the green line, it goes in this crazy huge arc, rather
// than rotating neatly around the end of the blue line
// as expected.
window.requestAnimationFrame(step)
}
window.requestAnimationFrame(step)
function toRad(deg) {
return deg * (Math.PI / 180)
}
<script src="https://cdnjs.cloudflare.com/ajax/libs/svg.js/2.6.4/svg.js"></script>
<div id="drawing"></div>
Something else I noticed with my actual code is that if I move the position of the legs, it changes the severity of the problem, or even stops it altogether. If the hips are positioned all the way near the front of the bicycle, the problem is not nearly as bad. Also, if I disable rotation on the lower legs, there is no jiggling. In some positions, the lower leg will just rotate out of the screen instantly on load, even before any motion has been started.
I'm hoping for some guidance on wether I'm misunderstanding the way manipulating elements works, either in svg.js in particular, or SVG in general.
Thank you kind vector graphics experts!
Here is the actual code for the legs. The step() function would probably be the most relevant. Not sure if it will be helpful:
Rider.Leg = function(foot, front, xOffset, yOffset) {
var upper = front ? SVGE.upperLeg : SVGE.upperLegBack
var lower = front ? SVGE.lowerLeg : SVGE.lowerLegBack
this.foot = foot
this.draw = foot.draw
this.geo = {
upper: {
x: this.foot.pedal.gear.x + 150,
y: this.foot.pedal.gear.y - 750,
length: 396
},
lower: {
length: 390
}
}
this.upper = this.draw.group().svg(upper).move(this.geo.upper.x, this.geo.upper.y)
.transform({ scale: 0.95, cx: 0, cy: 0 })
this.lower = this.draw.group().svg(lower).move(this.geo.upper.x, this.geo.upper.y)
}
// Step function does not take in a time argument. Positioning of legs is based only on
// the absolute position of other elements, none of which jiggle.
Rider.Leg.prototype.step = function () {
var angle = this.pedalAngle() - Math.PI
var ha = this.scaleneAngle(this.geo.lower.length, this.geo.upper.length, this.pedalDistance())
var ka = this.scaleneAngle(this.pedalDistance(), this.geo.lower.length, this.geo.upper.length)
var x = this.geo.upper.length * Math.cos(ha + angle)
var y = this.geo.upper.length * Math.sin(ha + angle)
this.upper.rotate(Drive.toDeg(angle + ha), 0, 0)
this.lower.move(this.geo.upper.x + x, + this.geo.upper.y + y)
this.lower.rotate(Drive.toDeg(angle + ha + ka - Math.PI), 0, 0)
}
// Gets the distance between the hip joint and the pedal
Rider.Leg.prototype.pedalDistance = function () {
var pos = this.foot.getPos()
var xDist = this.geo.upper.x - pos.x
var yDist = this.geo.upper.y - pos.y
return Math.hypot(xDist, yDist)
}
// Gets the angle between the hip joint and the pedal
Rider.Leg.prototype.pedalAngle = function () {
var pos = this.foot.getPos()
var xDist = this.geo.upper.x - pos.x
var yDist = this.geo.upper.y - pos.y
return Math.atan2(yDist, xDist)
}
Rider.Leg.prototype.scaleneAngle = function (a, b, c) {
return Math.acos(((b * b) + (c * c) - (a * a)) / (2 * b * c))
}
When you call move() on a group it is internally represented as a translation. svg.js figures out crazy ways to translate the object to the new place without changing any other transformations. That often does not work out. Especially not, when you rotate.
Thats why you should avoid these absolute transformations and go with relative ones. Just call untransform before every move and go from zero. Then you can do:
greenLine.transform({x:endX, y:endY, relative: true})
To move the line by a certain amount. That should work way better.
I don't know a lot about JS, but i have to do assignments with it. right now i have a ball that bounces from one side of the screen to the other. with every bounce the colour of the screen and the ball change. but i'd like a slight increase of speed with every bounce as well(or a random speed every time it bounces if that's easier). this is the code I have for moving, the bouncing and the colour changing now:
fill(r,g,b);
ellipse(circleX, circleY, circleSize, circleSize);
circleX += moveX;
if (circleX > width - circleSize / 2 || circleX < circleSize / 2) {
moveX = -moveX;
r = random(255);
g = random(255);
b = random(255);
}
moveX is always 5 now and changes to -5 when turning back. but i'd like it if it turned into -6 and then +7 when going forward again. or something like that at least.
I thank you guys in advance for helping me and please explain it like you're explaining it to a child.
First, lets make a function which takes a number and returns +1 for non-negative numbers (positive or 0) and -1 for negative numbers, i.e. it's sign
function sign(x) {
if (x < 0) return -1;
return 1;
}
A full implementation of sign would have a special case for 0, and is available natively in ES6
Next, when it becomes time to change moveX separate it's magnitude (absolute value) and sign, increment it's magnitude and put the two pieces back together again before flipping the sign over
moveX = -sign(moveX) * (Math.abs(moveX) + 1);
You'll want to add another test inside your collision detection code to increase the speed. If the velocity is positive, then you want to add 1. If the velocity is negative, you want to subtract 1. Your code would look something like this...
...
moveX = -moveX
if (moveX < 0) {
--moveX;
} else {
++moveX;
}
...
Keep track of how many times the circle has "bounced" and add it to the speed.
var base_speed = 5;
var bounces = 0;
var direction = 1; //positive for moving right, negative for moving left
var moveX = base_speed + bounces * direction;
circleX += moveX;
if (circleX > width - circleSize / 2 || circleX < circleSize / 2) {
direction = -direction;
bounces++;
r = random(255);
g = random(255);
b = random(255);
}
this is my first question after having relied on this site for years!
Anyway, I'd like to accomplish something similar to this effect:
http://www.flashmonkey.co.uk/html5/wave-physics/
But on a circular path, instead of a horizon. Essentially, a floating circle/blob in the center of the screen that would react to mouse interaction. What I'm not looking for is gravity, or for the circle to bounce around the screen - only surface ripples.
If at all possible I'd like to apply a static texture to the shape, is this a possibility? I'm completely new to Canvas!
I've already tried replacing some code from the above example with circular code from the following link, to very limited success:
http://www.html5canvastutorials.com/tutorials/html5-canvas-circles/
If only it were that easy :)
Any ideas?
Thanks in advance!
I tried to figure out how wave simulation works using View Source and JavaScript console. It's working fine but threw some JS errors. Also, it seems physics update is entangled with rendering in the render() method.
Here is what I found about the code:
The mouseMove() method creates disturbances on the wave based on mouse position, creating a peak around the mouse. The target variable is the index of the particle that needs to be updated, it's calculated from mouse pos.
if (particle && mouseY > particle.y) {
var speed = mouseY - storeY;
particles[target - 2].vy = speed / 6;
particles[target - 1].vy = speed / 5;
particles[target].vy = speed / 3;
particles[target + 1].vy = speed / 5;
particles[target + 2].vy = speed / 6;
storeY = mouseY;
}
Then, the particles around target are updated. The problem I found is that it does no bounds checking, i.e. it can potentially particles[-1] when target == 0. If that happens, an exception is thrown, the method call ends, but the code does not stop.
The render() method first updates the particle positions, then renders the wave.
Here is its physics code:
for (var u = particles.length - 1; u >= 0; --u) {
var fExtensionY = 0;
var fForceY = 0;
if (u > 0) {
fExtensionY = particles[u - 1].y - particles[u].y - springs[u - 1].iLengthY;
fForceY += -fK * fExtensionY;
}
if (u < particles.length - 1) {
fExtensionY = particles[u].y - particles[u + 1].y - springs[u].iLengthY;
fForceY += fK * fExtensionY;
}
fExtensionY = particles[u].y - particles[u].origY;
fForceY += fK / 15 * fExtensionY;
particles[u].ay = -fForceY / particles[u].mass;
particles[u].vy += particles[u].ay;
particles[u].ypos += particles[u].vy;
particles[u].vy /= 1.04;
}
Basically, it's Hooke's Law for a chain of particles linked by springs between them. For each particle u, it adds the attraction to the previous and next particles (the if statements check if they are available), to the variable fForceY. I don't fully understand the purpose of the springs array.
In the last four lines, it calculates the acceleration (force / mass), updates the velocity (add acceleration), then position (add velocity), and finally, reduce velocity by 1.04 (friction).
After the physics update, the code renders the wave:
context.clearRect(0, 0, stageWidth, stageHeight);
context.fillStyle = color;
context.beginPath();
for (u = 0; u < particles.length; u++) {
...
}
...
context.closePath();
context.fill();
I'm not explaining that, you need to read a canvas tutorial to understand it.
Here are some ideas to get started, note that I didn't test these code.
To modify the code to draw a circular wave, we need introduce a polar coordinate system, where the particle's x-position is the angle in the circle and y-position the distance from center. We should use theta and r here but it requires a large amount of refactoring. We will talk about transforming later.
mouseMove(): Compute particle index from mouse position on screen to polar coordinates, and make sure the disturbance wrap around:
Define the function (outside mouseMove(), we need this again later)
function wrapAround(i, a) { return (i + a.length) % a.length; }
Then change
particles[target - 2] --> particles[wrapAround(target - 2, particles)]
particles[target - 1] --> particles[wrapAround(target - 1, particles)]
...
The modulo operator does the job but I added particles.length so I don't modulo a negative number.
render(): Make sure the force calculation wrap around, so we need to wrapAround function again. We can strip away the two if statements:
fExtensionY = particles[wrapAround(u - 1, particles)].y - particles[u].y - springs[wrapAround(u - 1, springs)].iLengthY;
fForceY += -fK * fExtensionY;
fExtensionY = particles[u].y - particles[wrapAround(u + 1, particles)].y - springs[warpAround(u, springs)].iLengthY;
fForceY += fK * fExtensionY;
Here is the result so far in jsfiddle: Notice the wave propagate from the other side. http://jsfiddle.net/DM68M/
After that's done, the hardest part is rendering them on a circle. To do that, we need coordinate transform functions that treat particle's (x, y) as (angle in the circle, distance from center), and we also need inverse transforms for mouse interaction in mouseMove().
function particleCoordsToScreenCoords(particleX, particleY) {
return [ radiusFactor * particleY * Math.cos(particleX / angleFactor),
radiusFactor * particleY * Math.sin(particleX / angleFactor) ];
}
function screenCoordsToParticleCoords(screenX, screenY) {
// something involving Math.atan2 and Math.sqrt
}
Where the ...Factor variables needed to be determined separately. The angleFactor is two pi over the highest x-position found among particles array
Then, in the coordinates supplied to the context.lineTo, context.arc, use the particleCoordsToScreenCoords to transform the coordinates.