140 lines
3.1 KiB
Lua
140 lines
3.1 KiB
Lua
local this = {}
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local sqrt = math.sqrt
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local sin = math.sin
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local cos = math.cos
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local pow = math.pow
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local exp = math.exp
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local pi = math.pi
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local abs = math.abs
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function this.linear(t) return t end
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function this.inQuad(t) return t * t end
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function this.outQuad(t) return -t * (t - 2) end
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function this.inOutQuad(t)
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t = t * 2
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if t < 1 then
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return 0.5 * t ^ 2
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else
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return 1 - 0.5 * (2 - t) ^ 2
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end
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end
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function this.inCubic(t) return t * t * t end
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function this.outCubic(t) return 1 - (1 - t) ^ 3 end
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function this.inOutCubic(t)
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t = t * 2
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if t < 1 then
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return 0.5 * t ^ 3
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else
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return 1 - 0.5 * (2 - t) ^ 3
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end
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end
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function this.inQuart(t) return t * t * t * t end
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function this.outQuart(t) return 1 - (1 - t) ^ 4 end
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function this.inOutQuart(t)
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t = t * 2
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if t < 1 then
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return 0.5 * t ^ 4
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else
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return 1 - 0.5 * (2 - t) ^ 4
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end
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end
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function this.inQuint(t) return t ^ 5 end
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function this.outQuint(t) return 1 - (1 - t) ^ 5 end
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function this.inOutQuint(t)
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t = t * 2
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if t < 1 then
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return 0.5 * t ^ 5
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else
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return 1 - 0.5 * (2 - t) ^ 5
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end
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end
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function this.inExpo(t) return 1000 ^ (t - 1) - 0.001 end
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function this.outExpo(t) return 0.999 - 1000 ^ -t end
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function this.inOutExpo(t)
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t = t * 2
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if t < 1 then
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return 0.5 * 1000 ^ (t - 1) - 0.0005
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else
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return 0.9995 - 0.5 * 1000 ^ (1 - t)
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end
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end
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function this.inCirc(t) return 1 - sqrt(1 - t * t) end
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function this.outCirc(t) return sqrt(-t * t + 2 * t) end
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function this.inOutCirc(t)
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t = t * 2
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if t < 1 then
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return 0.5 - 0.5 * sqrt(1 - t * t)
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else
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t = t - 2
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return 0.5 + 0.5 * sqrt(1 - t * t)
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end
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end
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function this.inElastic(t)
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t = t - 1
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return -(pow(2, 10 * t) * sin((t - 0.075) * (2 * pi) / 0.3))
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end
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function this.outElastic(t)
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return pow(2, -10 * t) * sin((t - 0.075) * (2 * pi) / 0.3) + 1
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end
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function this.inOutElastic(t)
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t = t * 2 - 1
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if t < 0 then
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return -0.5 * pow(2, 10 * t) * sin((t - 0.1125) * 2 * pi / 0.45)
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else
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return pow(2, -10 * t) * sin((t - 0.1125) * 2 * pi / 0.45) * 0.5 + 1
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end
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end
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function this.inBack(t) return t * t * (2.70158 * t - 1.70158) end
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function this.outBack(t)
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t = t - 1
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return (t * t * (2.70158 * t + 1.70158)) + 1
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end
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function this.inOutBack(t)
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t = t * 2
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if t < 1 then
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return 0.5 * (t * t * (3.5864016 * t - 2.5864016))
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else
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t = t - 2
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return 0.5 * (t * t * (3.5864016 * t + 2.5864016) + 2)
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end
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end
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function this.outBounce(t)
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if t < 1 / 2.75 then
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return 7.5625 * t * t
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elseif t < 2 / 2.75 then
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t = t - 1.5 / 2.75
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return 7.5625 * t * t + 0.75
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elseif t < 2.5 / 2.75 then
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t = t - 2.25 / 2.75
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return 7.5625 * t * t + 0.9375
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else
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t = t - 2.625 / 2.75
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return 7.5625 * t * t + 0.984375
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end
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end
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function this.inBounce(t) return 1 - this.outBounce(1 - t) end
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function this.inOutBounce(t)
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if t < 0.5 then
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return this.inBounce(t * 2) * 0.5
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else
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return this.outBounce(t * 2 - 1) * 0.5 + 0.5
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end
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end
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function this.inSine(x)
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return 1 - cos(x * (pi * 0.5))
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end
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function this.outSine(x)
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return sin(x * (pi * 0.5))
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end
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function this.inOutSine(x)
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return 0.5 - 0.5 * cos(x * pi)
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end
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return this |