kute.js/kute-physics.js
Ingwie Phoenix e2aa72e14b NPM/Bower and UMD support.
- Supports `require()` and `define()` style loading.
- Is available on Bower through Git tags. Not yet via NPM. (run `npm publish` inside the project to do so)
- README updated with hint of usability with module loaders

In the code:
- Implemented UMD method, using AMD in first instance.
- Error is thrown is the root KuteJS could not be found.

What is missing:
- Sub-modules should export their factory rather than doing this on their own.
2015-11-01 21:51:51 +01:00

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/*
* KUTE.js - The Light Tweening Engine | dnp_theme
* package dynamics.js easings pack by Michael Villar
* https://github.com/michaelvillar/dynamics.js
* optimized by dnp_theme 2015 MIT License
* Licensed under MIT-License
*/
(function(kutePhysics){
// Obtain a reference to the base KUTE.
// Since KUTE supports a variety of module systems,
// we need to pick up which one to use.
if(define == "function") {
define(["./kute.js"], function(KUTE){ kutePhysics(KUTE); return KUTE; });
} else if(typeof module == "object" && typeof require == "function") {
// We assume, that require() is sync.
var KUTE = require("./kute.js");
kutePhysics(KUTE);
// Export the modified one. Not really required, but convenient.
module.exports = KUTE;
} else if(typeof root.KUTE != "undefined") {
kutePhysics(root.KUTE);
} else {
throw new Error("KUTE.js Physics depends on KUTE.js. Read the docs for more info.")
}
})(function(KUTE){
KUTE.Physics = {};
var _kp = KUTE.Physics, _hPI = Math.PI / 2;
// spring easing
_kp.spring = function(options) {
options = options || {};
var fq = Math.max(1, (options.frequency || 300 ) / 20),
fc = Math.pow(20, (options.friction || 200 ) / 100),
aSt = options.anticipationStrength || 0,
aS = (options.anticipationSize || 0) / 1000;
_kps.run = function(t) {
var A, At, a, angle, b, frictionT, y0, yS;
frictionT = (t / (1 - aS)) - (aS / (1 - aS));
if (t < aS) {
yS = (aS / (1 - aS)) - (aS / (1 - aS));
y0 = (0 / (1 - aS)) - (aS / (1 - aS));
b = Math.acos(1 / _kps.A1(t,yS));
a = (Math.acos(1 / _kps.A1(t,y0)) - b) / (fq * (-aS));
A = _kps.A1;
} else {
A = _kps.A2;
b = 0;
a = 1;
}
At = A(frictionT,aS,aSt,fc);
angle = fq * (t - aS) * a + b;
return 1 - (At * Math.cos(angle));
};
return _kps.run;
};
var _kps = _kp.spring.prototype;
_kps.run = {};
_kps.A1 = function(t,aS,aSt) {
var a, b, x0, x1;
x0 = aS / (1 - aS);
x1 = 0;
b = (x0 - (0.8 * x1)) / (x0 - x1);
a = (0.8 - b) / x0;
return (a * t * aSt / 100) + b;
};
_kps.A2 = function(t,aS,aSt,f) {
return Math.pow(f / 10, -t) * (1 - t);
};
// bounce
_kp.bounce = function(options) {
options = options || {};
var fq = Math.max(1, (options.frequency || 300) / 20),
f = Math.pow(20, (options.friction || 200) / 100);
_kpo.run = function(t) {
var At = Math.pow(f / 10, -t) * (1 - t),
angle = fq * t * 1 + _hPI;
return At * Math.cos(angle);
};
return _kpo.run;
};
var _kpo = _kp.bounce.prototype;
_kpo.run = {};
// gravity
_kp.gravity = function(options) {
var bounciness, curves, elasticity, gravity, initialForce;
options = options || {};
bounciness = ( options.bounciness || 400 ) / 1250;
elasticity = ( options.elasticity || 200 ) / 1000;
initialForce = options.initialForce || false;
gravity = 100;
curves = [];
_kpg.L = (function() {
var b, curve;
b = Math.sqrt(2 / gravity);
curve = {
a: -b,
b: b,
H: 1
};
if (initialForce) {
curve.a = 0;
curve.b = curve.b * 2;
}
while (curve.H > 0.001) {
_kpg.L = curve.b - curve.a;
curve = {
a: curve.b,
b: curve.b + _kpg.L * bounciness,
H: curve.H * bounciness * bounciness
};
}
return curve.b;
})();
(function() {
var L2, b, curve, _results;
b = Math.sqrt(2 / (gravity * _kpg.L * _kpg.L));
curve = {
a: -b,
b: b,
H: 1
};
if (initialForce) {
curve.a = 0;
curve.b = curve.b * 2;
}
curves.push(curve);
L2 = _kpg.L;
_results = [];
while (curve.b < 1 && curve.H > 0.001) {
L2 = curve.b - curve.a;
curve = {
a: curve.b,
b: curve.b + L2 * bounciness,
H: curve.H * elasticity
};
_results.push(curves.push(curve));
}
return _results;
})();
_kpg.fn = function(t) {
var curve, i, v;
i = 0;
curve = curves[i];
while (!(t >= curve.a && t <= curve.b)) {
i += 1;
curve = curves[i];
if (!curve) {
break;
}
}
if (!curve) {
v = initialForce ? 0 : 1;
} else {
v = _kpg.getPointInCurve(curve.a, curve.b, curve.H, t, options, _kpg.L);
}
return v;
};
return _kpg.fn;
};
var _kpg = _kp.gravity.prototype;
_kpg.L = {};
_kpg.fn = {};
_kpg.getPointInCurve = function(a, b, H, t, o, L) {
var c, t2;
L = b - a;
t2 = (2 / L) * t - 1 - (a * 2 / L);
c = t2 * t2 * H - H + 1;
if (o.initialForce) {
c = 1 - c;
}
return c;
};
//throw up and pull down by gravity
_kp.forceWithGravity = function(o) {
var ops = o || {};
ops.initialForce = true;
return _kp.gravity(ops);
};
// multi point bezier
_kp.bezier = function(options) {
options = options || {};
var points = options.points,
returnsToSelf = false, Bs = [];
(function() {
var i, k;
for (i in points) {
k = parseInt(i);
if (k >= points.length - 1) {
break;
}
_kpb.fn(points[k], points[k + 1], Bs);
}
return Bs;
})();
_kpb.run = function(t) {
if (t === 0) {
return 0;
} else if (t === 1) {
return 1;
} else {
return _kpb.yForX(t, Bs, returnsToSelf);
}
};
return _kpb.run;
};
var _kpb = _kp.bezier.prototype;
_kpb.B2 = {};
_kpb.run = {};
_kpb.fn = function(pointA, pointB, Bs) {
var B2 = function(t) {
return _kpb.Bezier(t, pointA, pointA.cp[pointA.cp.length - 1], pointB.cp[0], pointB);
};
return Bs.push(B2);
};
_kpb.Bezier = function(t, p0, p1, p2, p3) {
return {
x: (Math.pow(1 - t, 3) * p0.x) + (3 * Math.pow(1 - t, 2) * t * p1.x) + (3 * (1 - t) * Math.pow(t, 2) * p2.x) + Math.pow(t, 3) * p3.x,
y: (Math.pow(1 - t, 3) * p0.y) + (3 * Math.pow(1 - t, 2) * t * p1.y) + (3 * (1 - t) * Math.pow(t, 2) * p2.y) + Math.pow(t, 3) * p3.y
};
};
_kpb.yForX = function(xTarget, Bs, rTS) {
var B, aB, i, lower, percent, upper, x, xT, _i = 0, _len = Bs.length;
B = null;
for (_i; _i < _len; _i++) {
aB = Bs[_i];
if (xTarget >= aB(0).x && xTarget <= aB(1).x) {
B = aB;
}
if (B !== null) {
break;
}
}
if (!B) {
return ( rTS ? 0 : 1 );
}
xT = 0.0001; // xTolerance
lower = 0; upper = 1;
percent = (upper + lower) / 2;
x = B(percent).x; i = 0;
while (Math.abs(xTarget - x) > xT && i < 100) {
if (xTarget > x) {
lower = percent;
} else {
upper = percent;
}
percent = (upper + lower) / 2;
x = B(percent).x;
i++;
}
return B(percent).y;
};
_kp.physicsInOut = function(options) {
var friction;
options = options || {};
friction = options.friction|| 500;
return _kp.bezier({ points: [ { x: 0, y: 0, cp: [ { x: 0.92 - (friction / 1000), y: 0 } ] }, { x: 1, y: 1, cp: [ { x: 0.08 + (friction / 1000), y: 1 } ] } ] });
};
_kp.physicsIn = function(options) {
var friction;
options = options || {};
friction = options.friction|| 500;
return _kp.bezier({ points: [ { x: 0, y: 0, cp: [ { x: 0.92 - (friction / 1000), y: 0 } ] }, { x: 1, y: 1, cp: [ { x: 1, y: 1 } ] } ] });
};
_kp.physicsOut = function(options) {
var friction;
options = options || {};
friction = options.friction|| 500;
return _kp.bezier({ points: [ { x: 0, y: 0, cp: [ { x: 0, y: 0 } ] }, { x: 1, y: 1, cp: [ { x: 0.08 + (friction / 1000), y: 1 } ] }] });
};
_kp.physicsBackOut = function(options) {
var friction;
options = options || {};
friction = options.friction|| 500;
return _kp.bezier({ points: [{"x":0,"y":0,"cp":[{"x":0,"y":0}]},{"x":1,"y":1,"cp":[{"x":0.735+(friction/1000),"y":1.3}]}] });
};
_kp.physicsBackIn = function(options) {
var friction;
options = options || {};
friction = options.friction|| 500;
return _kp.bezier({ points: [{"x":0,"y":0,"cp":[{"x":0.28-(friction / 1000),"y":-0.6}]},{"x":1,"y":1,"cp":[{"x":1,"y":1}]}] });
};
_kp.physicsBackInOut = function(options) {
var friction;
options = options || {};
friction = options.friction|| 500;
return _kp.bezier({ points: [{"x":0,"y":0,"cp":[{"x":0.68-(friction / 1000),"y":-0.55}]},{"x":1,"y":1,"cp":[{"x":0.265+(friction / 1000),"y":1.45}]}] });
};
});