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<div id="divMain"></div>
body {
padding: 15px;
}
console.clear();
function main() {
TweenLite.ticker.fps(60);
var w = 400;
var h = 400;
var viewSize = new Coords(w, h); // 10, 32
var bodyDimension = 35;
var numberOfBodies = 20;
var world = Demo.worldRandom(viewSize, bodyDimension, numberOfBodies);
var displayConfig = {
colorBack: "#eee",
colorFore: "#111",
colorCollision: "red",
collisionSize: 4
};
Globals.Instance.initialize(new Display(viewSize, displayConfig), world);
}
// extensions
function ArrayExtensions()
{
// extension class
}
{
Array.prototype.clone = function()
{
var returnValues = [];
for (var i = 0; i < this.length; i++)
{
var element = this[i];
var elementCloned = element.clone();
returnValues.push(elementCloned);
}
return returnValues;
}
Array.prototype.overwriteWith = function(other)
{
for (var i = 0; i < this.length; i++)
{
var elementThis = this[i];
var elementOther = other[i];
elementThis.overwriteWith(elementOther);
}
return this;
}
}
// classes
function Body(defn, pos, vel, orientation, angVel)
{
this.defn = defn;
this.pos = pos;
this.vel = vel;
this.orientation = orientation;
this.angVel = angVel;
this.accel = new Coords(0, 0);
this.force = new Coords(0, 0);
this.angAccel = 0;
this.torque = 0;
this.shapeTransformed = this.defn.shape.clone();
this.transformForShape = new TransformMultiple
([
new TransformOrient(this.orientation),
new TransformTranslate(this.pos),
]);
}
{
Body.prototype.updateForTimerTick = function(world)
{
this.pos.add
(
this.vel
).wrapToRangeMax
(
world.size
);
this.vel.add(this.accel);
this.accel.add
(
this.force.divideScalar
(
this.defn.mass
)
);
this.force.clear();
this.angAccel +=
this.torque
/
(
this.defn.mass
* this.defn.angularInertiaFactor
);
this.torque = 0;
this.angVel += this.angAccel;
this.angAccel = 0;
var forwardAsPolar = Polar.fromCoords
(
this.orientation.forward
);
forwardAsPolar.angle += this.angVel;
forwardAsPolar.angle = NumberHelper.wrapValueToRangeMax
(
forwardAsPolar.angle, 1
);
this.orientation.forwardSet
(
forwardAsPolar.toCoords()
);
this.shapeTransformed.overwriteWith
(
this.defn.shape
).transform
(
this.transformForShape
);
}
}
function BodyDefn(name, mass, angularInertiaFactor, shape)
{
this.name = name;
this.angularInertiaFactor = angularInertiaFactor;
this.mass = mass;
this.shape = shape;
}
function Collision(pos, edges)
{
this.pos = pos;
this.edges = edges;
}
{
// static methods
Collision.ofBodies = function(bodies)
{
var returnValues = [];
var numberOfBodies = bodies.length;
for (var i = 0; i < numberOfBodies; i++)
{
var bodyThis = bodies[i];
for (var j = i + 1; j < numberOfBodies; j++)
{
var bodyOther = bodies[j];
var collisionsOfShapes = Collision.ofShapes
([
bodyThis.shapeTransformed,
bodyOther.shapeTransformed
]);
if (collisionsOfShapes.length > 0)
{
for (var c = 0; c < collisionsOfShapes.length; c++)
{
var collision = collisionsOfShapes[c];
collision.bodies =
[
bodyThis, bodyOther
];
returnValues.push(collision);
}
}
}
}
return returnValues;
}
Collision.ofEdges = function(edges)
{
var returnValue = null;
var edge0 = edges[0];
var edge1 = edges[1];
var edgeProjected = edge1.clone().projectOnto(edge0);
var edgeProjectedStart = edgeProjected.vertices[0];
var edgeProjectedDirection = edgeProjected.direction;
var distanceAlongEdgeProjectedToXAxis =
0 - edgeProjectedStart.y
/ edgeProjectedDirection.y
if
(
distanceAlongEdgeProjectedToXAxis > 0
&& distanceAlongEdgeProjectedToXAxis < edgeProjected.length
)
{
var distanceAlongEdge0ToIntersection =
edgeProjectedStart.x
+ (edgeProjectedDirection.x * distanceAlongEdgeProjectedToXAxis);
if
(
distanceAlongEdge0ToIntersection > 0
&& distanceAlongEdge0ToIntersection < edge0.length
)
{
var collisionPos = edge0.direction.clone().multiplyScalar
(
distanceAlongEdge0ToIntersection
).add
(
edge0.vertices[0]
);
returnValue = new Collision
(
collisionPos,
edges
);
}
}
return returnValue;
}
Collision.ofShapes = function(shapes)
{
var returnValues = [];
var shape0Edges = shapes[0].edges;
var shape1Edges = shapes[1].edges;
for (var i = 0; i < shape0Edges.length; i++)
{
var shape0Edge = shape0Edges[i];
for (var j = 0; j < shape1Edges.length; j++)
{
var shape1Edge = shape1Edges[j];
var collision = Collision.ofEdges
(
[shape0Edge, shape1Edge]
);
if (collision != null)
{
collision.shapes = shapes;
returnValues.push(collision);
}
}
}
return returnValues;
}
// instance methods
Collision.prototype.applyEffectsToBodies = function()
{
for (var i = 0; i < this.bodies.length; i++)
{
var body = this.bodies[i];
// todo - Collision response.
}
}
}
function Coords(x, y)
{
this.x = x;
this.y = y;
}
{
Coords.prototype.add = function(other)
{
this.x += other.x;
this.y += other.y;
return this;
}
Coords.prototype.clear = function()
{
this.x = 0;
this.y = 0;
return this;
}
Coords.prototype.clone = function()
{
return new Coords(this.x, this.y);
}
Coords.prototype.divide = function(other)
{
this.x /= other.x;
this.y /= other.y;
return this;
}
Coords.prototype.divideScalar = function(scalar)
{
this.x /= scalar;
this.y /= scalar;
return this;
}
Coords.prototype.dotProduct = function(other)
{
return this.x * other.x + this.y * other.y;
}
Coords.prototype.magnitude = function(other)
{
return Math.sqrt(this.x * this.x + this.y * this.y);
}
Coords.prototype.multiply = function(other)
{
this.x *= other.x;
this.y *= other.y;
return this;
}
Coords.prototype.multiplyScalar = function(scalar)
{
this.x *= scalar;
this.y *= scalar;
return this;
}
Coords.prototype.normalize = function()
{
return this.divideScalar(this.magnitude());
}
Coords.prototype.overwriteWith = function(other)
{
this.x = other.x;
this.y = other.y;
return this;
}
Coords.prototype.overwriteWithXY = function(x, y)
{
this.x = x;
this.y = y;
return this;
}
Coords.prototype.randomize = function()
{
this.x = Math.random();
this.y = Math.random();
return this;
}
Coords.prototype.right = function()
{
var yPrev = this.y;
this.y = this.x;
this.x = 0 - yPrev;
return this;
}
Coords.prototype.subtract = function(other)
{
this.x -= other.x;
this.y -= other.y;
return this;
}
Coords.prototype.toString = function()
{
return "(" + this.x + "," + this.y + ")";
}
Coords.prototype.wrapToRangeMax = function(max)
{
while (this.x < 0)
{
this.x += max.x;
}
while (this.x > max.x)
{
this.x -= max.x;
}
while (this.y < 0)
{
this.y += max.y;
}
while (this.y > max.y)
{
this.y -= max.y;
}
return this;
}
}
// function Display(viewSize)
function Display(viewSize, config)
{
config = config || config;
this.viewSize = viewSize;
// this.colorBack = "White";
// this.colorBack = "#00ff00";
// this.colorFore = "LightGray";
this.colorBack = config.colorBack || "white";
this.colorFore = config.colorFore || "gray";
this.colorCollision = config.colorCollision || "red";
this.collisionSize = config.collisionSize || 4;
this.zeroes = new Coords(0, 0);
}
{
// methods
Display.prototype.clear = function()
{
this.drawRectangle
(
this.zeroes, this.viewSize,
this.colorFore, this.colorBack
);
}
Display.prototype.drawBody = function(body)
{
this.drawShape(body.shapeTransformed);
}
Display.prototype.drawCollision = function(collision)
{
var collisionPos = collision.pos;
this.graphics.beginPath();
this.graphics.arc
(
collisionPos.x, collisionPos.y,
this.collisionSize, // radius
0, Polar.RadiansPerCycle
);
//this.collisionSize
// this.graphics.strokeStyle = '#ff0000';
this.graphics.strokeStyle = this.colorCollision;
this.graphics.stroke();
// this.graphics.strokeStyle = 'LightGray';
// this.graphics.strokeStyle = 'black';
this.graphics.strokeStyle = this.colorFore;
}
Display.prototype.drawRectangle = function
(
pos, size, colorBorder, colorFill
)
{
this.graphics.fillStyle = colorFill;
this.graphics.fillRect
(
pos.x, pos.y,
size.x, size.y
);
this.graphics.strokeStyle = colorBorder;
this.graphics.strokeRect
(
pos.x, pos.y,
size.x, size.y
);
}
Display.prototype.drawShape = function(shape)
{
this.graphics.beginPath();
var vertices = shape.vertices;
this.graphics.moveTo(vertices[0].x, vertices[0].y);
for (var i = 1; i < vertices.length; i++)
{
var vertex = vertices[i];
this.graphics.lineTo(vertex.x, vertex.y);
}
this.graphics.closePath();
this.graphics.stroke();
}
Display.prototype.drawWorld = function(world)
{
var bodies = world.bodies;
for (var i = 0; i < bodies.length; i++)
{
var body = bodies[i];
this.drawBody(body);
}
}
Display.prototype.initialize = function()
{
var canvas = document.createElement("canvas");
canvas.width = this.viewSize.x;
canvas.height = this.viewSize.y;
this.graphics = canvas.getContext("2d");
var divMain = document.getElementById("divMain");
divMain.appendChild(canvas);
}
}
function Edge(vertices)
{
this.vertices = vertices;
this.displacement = new Coords();
this.direction = new Coords();
this.right = new Coords();
this.recalculate();
}
{
// static methods
Edge.manyFromVertices = function(vertices)
{
var returnValues = [];
var numberOfVertices = vertices.length;
for (var i = 0; i < numberOfVertices; i++)
{
var iNext = NumberHelper.wrapValueToRangeMax
(
i + 1,
numberOfVertices
);
var vertex = vertices[i];
var vertexNext = vertices[iNext];
var edge = new Edge([vertex, vertexNext]);
returnValues.push(edge);
}
return returnValues;
}
// instance methods
Edge.prototype.clone = function()
{
return new Edge(this.vertices.clone());
}
Edge.prototype.projectOnto = function(other)
{
for (var i = 0; i < this.vertices.length; i++)
{
var vertexThis = this.vertices[i];
vertexThis.subtract
(
other.vertices[0]
).overwriteWithXY
(
vertexThis.dotProduct(other.direction),
vertexThis.dotProduct(other.right)
);
}
this.recalculate();
return this;
}
Edge.prototype.recalculate = function()
{
this.displacement.overwriteWith
(
this.vertices[1]
).subtract
(
this.vertices[0]
);
this.length = this.displacement.magnitude();
this.direction.overwriteWith
(
this.displacement
).divideScalar
(
this.length
);
this.right.overwriteWith
(
this.direction
).right();
}
}
function Globals()
{
// do nothing
}
{
// instance
Globals.Instance = new Globals();
// methods
Globals.prototype.initialize = function(display, world)
{
this.display = display;
this.world = world;
this.display.initialize();
// this.timer = setInterval
// (
// this.handleEventTimerTick.bind(this),
// 100 // millisecondsPerTimerTick
// );
var fps = 1000 / 30;
var last = performance.now();
var _this = this;
this.handleEventTimerTick = this.handleEventTimerTick.bind(this);
function animate() {
requestAnimationFrame(animate);
_this.handleEventTimerTick();
}
TweenLite.ticker.fps(30);
TweenLite.ticker.addEventListener("tick", _this.handleEventTimerTick);
}
// events
Globals.prototype.handleEventTimerTick = function()
{
this.display.clear();
this.world.updateForTimerTick();
this.display.drawWorld(this.world);
}
}
function NumberHelper()
{
// static class
}
{
NumberHelper.wrapValueToRangeMax = function(value, max)
{
while (value < 0)
{
value += max;
}
while (value >= max)
{
value -= max;
}
return value;
}
}
function Orientation(forward)
{
this.forward = forward;
this.right = new Coords();
this.recalculate();
}
{
Orientation.prototype.forwardSet = function(value)
{
this.forward.overwriteWith(value);
this.recalculate();
}
Orientation.prototype.recalculate = function()
{
this.right.overwriteWith(this.forward).right();
}
}
function Polar(angle, distance)
{
this.angle = angle; // in cycles
this.distance = distance;
}
{
Polar.RadiansPerCycle = Math.PI * 2;
Polar.fromCoords = function(coordsToConvert)
{
var distance = coordsToConvert.magnitude();
var angle = NumberHelper.wrapValueToRangeMax
(
Math.atan2
(
coordsToConvert.y,
coordsToConvert.x
) / Polar.RadiansPerCycle,
1
);
var returnValue = new Polar
(
angle,
distance
);
return returnValue;
}
Polar.prototype.toCoords = function()
{
var angleInRadians =
this.angle * Polar.RadiansPerCycle;
var returnValue = new Coords
(
Math.cos(angleInRadians),
Math.sin(angleInRadians)
).multiplyScalar
(
this.distance
);
return returnValue;
}
}
function Shape(vertices)
{
this.vertices = vertices;
this.edges = Edge.manyFromVertices(this.vertices);
}
{
Shape.prototype.clone = function()
{
return new Shape
(
this.vertices.clone()
);
}
Shape.prototype.overwriteWith = function(other)
{
this.vertices.overwriteWith(other.vertices);
return this;
}
Shape.prototype.recalculate = function()
{
for (var i = 0; i < this.edges.length; i++)
{
var edge = this.edges[i];
edge.recalculate();
}
}
Shape.prototype.transform = function(transformToApply)
{
for (var i = 0; i < this.vertices.length; i++)
{
transformToApply.applyToCoords
(
this.vertices[i]
)
}
this.recalculate();
return this;
}
}
function TransformMultiple(transforms)
{
this.transforms = transforms;
}
{
TransformMultiple.prototype.applyToCoords = function(coordsToTransform)
{
for (var i = 0; i < this.transforms.length; i++)
{
var transform = this.transforms[i];
transform.applyToCoords(coordsToTransform);
}
}
}
function TransformOrient(orientation)
{
this.orientation = orientation;
}
{
TransformOrient.prototype.applyToCoords = function(coordsToTransform)
{
coordsToTransform.overwriteWithXY
(
coordsToTransform.dotProduct
(
this.orientation.forward
),
coordsToTransform.dotProduct
(
this.orientation.right
)
);
}
}
function TransformTranslate(offset)
{
this.offset = offset;
}
{
TransformTranslate.prototype.applyToCoords = function(coordsToTransform)
{
coordsToTransform.add(this.offset);
}
}
function World(size, bodies)
{
this.size = size;
this.bodies = bodies;
}
{
World.prototype.updateForTimerTick = function()
{
for (var i = 0; i < this.bodies.length; i++)
{
var body = this.bodies[i];
body.updateForTimerTick(this);
}
var collisions = Collision.ofBodies(this.bodies);
for (var i = 0; i < collisions.length; i++)
{
var collision = collisions[i];
collision.applyEffectsToBodies();
Globals.Instance.display.drawCollision(collision)
}
}
}
// demo
function Demo()
{
// static class
}
{
Demo.worldRandom = function(worldSize, dimensionOfBodies, numberOfBodies)
{
var bodyDefn = new BodyDefn
(
"BodyDefn0",
1, // mass
1, // angularInertiaFactor
new Shape
([
new Coords(-dimensionOfBodies, -dimensionOfBodies),
new Coords(dimensionOfBodies, -dimensionOfBodies),
new Coords(dimensionOfBodies, dimensionOfBodies),
new Coords(-dimensionOfBodies, dimensionOfBodies),
])
);
var bodies = [];
for (var i = 0; i < numberOfBodies; i++)
{
var body = new Body
(
bodyDefn,
new Coords().randomize().multiply(worldSize), // pos
// vel
new Coords().randomize().multiplyScalar
(
2
).subtract
(
new Coords(1, 1)
).multiplyScalar
(
2
),
new Orientation(new Coords(1, 0)),
Math.random() / 32 // angVel
);
bodies.push(body);
}
var world = new World
(
worldSize,
bodies
);
return world;
}
Demo.worldSimple = function(size)
{
// A simpler world for testing.
var bodyDefns =
[
new BodyDefn
(
"BodyDefn0",
1, // mass
1, // angularInertiaFactor
new Shape
([
new Coords(0, -8),
new Coords(4, 8),
new Coords(-4, 8),
])
),
new BodyDefn
(
"BodyDefn1",
1000000, // mass
1, // angularInertiaFactor
new Shape
([
new Coords(-5, -40),
new Coords(5, -40),
new Coords(5, 40),
new Coords(-5, 40),
])
),
];
var world = new World
(
size,
// bodies
[
new Body
(
bodyDefns[0],
new Coords(25, 10), // pos
new Coords(1, 1), // vel
new Orientation(new Coords(1, 0)),
.02 // angVel
),
new Body
(
bodyDefns[1],
new Coords(75, 50), // pos
new Coords(0, 0), // vel
new Orientation(new Coords(1, 0)),
0 // angVel
),
]
);
return world;
}
}
// run
main();
Also see: Tab Triggers