Created
September 18, 2015 11:35
CSS `cubic-bezier()` timing function
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'use strict'; | |
export default function cubicBezier(x1, y1, x2, y2) { | |
let ax, bx, cx, ay, by, cy; | |
ax = 3 * (x1 - x2) + 1; | |
bx = 3 * x2 - 6 * x1; | |
cx = 3 * x1; | |
ay = 3 * (y1 - y2) + 1; | |
by = 3 * y2 - 6 * y1; | |
cy = 3 * y1; | |
return function(x, accuracy) { | |
let t, i, sample, derivative, low, high; | |
if (x <= 0) { | |
return 0; | |
} else if (x >= 1) { | |
return 1; | |
} | |
t = x, i = 8; | |
while (i--) { | |
sample = ((ax * t + bx) * t + cx) * t - x; | |
if (-accuracy < sample && sample < accuracy) { | |
return ((ay * t + by) * t + cy) * t; | |
} | |
derivative = (3 * ax * t + 2 * bx) * t + cx; | |
if (-0.000001 < derivative && derivative < 0.000001) { | |
break; | |
} | |
t = t - sample / derivative; | |
} | |
t = x, low = 0, high = 1; | |
while (low < high) { | |
sample = ((ax * t + bx) * t + cx) * t - x; | |
if (-accuracy < sample && sample < accuracy) { | |
break; | |
} | |
sample < 0 ? (low = t) : (high = t); | |
t = 0.5 * (high + low); | |
} | |
return ((ay * t + by) * t + cy) * t; | |
} | |
} |
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