kute.js/kute-physics.js
thednp 3d7f6721b9 Changelog 1.5.7:
* changed the jQuery plugin, it's lighter and plays well with tween control methods
* changed the scope of ticker, tick, easing functions, interpolate functions, all to global, for better performance, some will only be available in the global and will be removed from KUTE object
* added transform interpolate functions
* documentation updates
2016-09-24 03:37:02 +03:00

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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(factory){
// 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 (typeof define === 'function' && define.amd) {
define(["./kute.js"], function(KUTE){ factory(KUTE); return KUTE; });
} else if(typeof module == "object" && typeof require == "function") {
// We assume, that require() is sync.
var KUTE = require("./kute.js");
// Export the modified one. Not really required, but convenient.
module.exports = factory(KUTE);
} else if(typeof window.KUTE !== "undefined") {
window.KUTE.Physics = window.KUTE.Physics || factory(KUTE);
} else {
throw new Error("Physics Easing functions for KUTE.js depend on KUTE.js")
}
})(function(KUTE){
'use strict';
var g = window, P = P || {};
// spring easing
P.spring = g.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;
return 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));
};
};
var _kps = P.spring.prototype = g.spring.prototype;
_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
P.bounce = g.bounce = function(options) {
options = options || {};
var fq = Math.max(1, (options.frequency || 300) / 20),
f = Math.pow(20, (options.friction || 200) / 100);
return function(t) {
var At = Math.pow(f / 10, -t) * (1 - t),
angle = fq * t * 1 + Math.PI / 2;
return At * Math.cos(angle);
};
};
// gravity
P.gravity = g.gravity = function(options) {
var bounciness, curves, elasticity, gravity, initialForce, L;
options = options || {};
bounciness = ( options.bounciness || 400 ) / 1250;
elasticity = ( options.elasticity || 200 ) / 1000;
initialForce = options.initialForce || false;
gravity = 100;
curves = [];
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) {
L = curve.b - curve.a;
curve = {
a: curve.b,
b: curve.b + L * bounciness,
H: curve.H * bounciness * bounciness
};
}
return curve.b;
})();
(function() {
var L2, b, curve, _results;
b = Math.sqrt(2 / (gravity * L * L));
curve = {
a: -b,
b: b,
H: 1
};
if (initialForce) {
curve.a = 0;
curve.b = curve.b * 2;
}
curves.push(curve);
L2 = 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;
})();
return 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, L);
}
return v;
};
};
var _kpg = P.gravity.prototype = g.gravity.prototype;
_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
P.forceWithGravity = g.forceWithGravity = function(o) {
var ops = o || {};
ops.initialForce = true;
return P.gravity(ops);
};
// multi point bezier
P.bezier = g.BezierMultiPoint = 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;
})();
return function(t) {
if (t === 0) {
return 0;
} else if (t === 1) {
return 1;
} else {
return _kpb.yForX(t, Bs, returnsToSelf);
}
};
};
var _kpb = P.bezier.prototype = g.BezierMultiPoint.prototype;
_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;
};
// export predefined BezierMultiPoint functions to window
g.Physics = {
physicsInOut : function(options) {
var friction;
options = options || {};
friction = options.friction|| 200;
return g.BezierMultiPoint({ 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 } ] } ] });
},
physicsIn : function(options) {
var friction;
options = options || {};
friction = options.friction|| 200;
return g.BezierMultiPoint({ points: [ { x: 0, y: 0, cp: [ { x: 0.92 - (friction / 1000), y: 0 } ] }, { x: 1, y: 1, cp: [ { x: 1, y: 1 } ] } ] });
},
physicsOut : function(options) {
var friction;
options = options || {};
friction = options.friction|| 200;
return g.BezierMultiPoint({ points: [ { x: 0, y: 0, cp: [ { x: 0, y: 0 } ] }, { x: 1, y: 1, cp: [ { x: 0.08 + (friction / 1000), y: 1 } ] }] });
},
physicsBackOut : function(options) {
var friction;
options = options || {};
friction = options.friction|| 200;
return g.BezierMultiPoint({ points: [{x:0,y:0,cp:[{x:0,y:0}]},{x:1,y:1,cp:[{x:0.735+(friction/1000),y:1.3}]}] });
},
physicsBackIn : function(options) {
var friction;
options = options || {};
friction = options.friction|| 200;
return g.BezierMultiPoint({ points: [{x:0,y:0,cp:[{x:0.28-(friction / 1000),y:-0.6}]},{x:1,y:1,cp:[{x:1,y:1}]}] });
},
physicsBackInOut : function(options) {
var friction;
options = options || {};
friction = options.friction|| 200;
return g.BezierMultiPoint({ 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}]}] });
}
};
return P;
});