mirror of
https://github.com/kepler155c/opus
synced 2024-11-15 05:04:50 +00:00
367 lines
12 KiB
Lua
367 lines
12 KiB
Lua
local tween = {
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_VERSION = 'tween 2.1.1',
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_DESCRIPTION = 'tweening for lua',
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_URL = 'https://github.com/kikito/tween.lua',
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_LICENSE = [[
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MIT LICENSE
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Copyright (c) 2014 Enrique García Cota, Yuichi Tateno, Emmanuel Oga
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Permission is hereby granted, free of charge, to any person obtaining a
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copy of this software and associated documentation files (the
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"Software"), to deal in the Software without restriction, including
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without limitation the rights to use, copy, modify, merge, publish,
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distribute, sublicense, and/or sell copies of the Software, and to
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permit persons to whom the Software is furnished to do so, subject to
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the following conditions:
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The above copyright notice and this permission notice shall be included
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in all copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
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IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
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CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
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TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
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SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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]]
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}
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-- easing
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-- Adapted from https://github.com/EmmanuelOga/easing. See LICENSE.txt for credits.
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-- For all easing functions:
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-- t = time == how much time has to pass for the tweening to complete
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-- b = begin == starting property value
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-- c = change == ending - beginning
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-- d = duration == running time. How much time has passed *right now*
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local pow, sin, cos, pi, sqrt, abs, asin = math.pow, math.sin, math.cos, math.pi, math.sqrt, math.abs, math.asin
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-- linear
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local function linear(t, b, c, d) return c * t / d + b end
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-- quad
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local function inQuad(t, b, c, d) return c * pow(t / d, 2) + b end
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local function outQuad(t, b, c, d)
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t = t / d
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return -c * t * (t - 2) + b
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end
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local function inOutQuad(t, b, c, d)
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t = t / d * 2
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if t < 1 then return c / 2 * pow(t, 2) + b end
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return -c / 2 * ((t - 1) * (t - 3) - 1) + b
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end
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local function outInQuad(t, b, c, d)
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if t < d / 2 then return outQuad(t * 2, b, c / 2, d) end
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return inQuad((t * 2) - d, b + c / 2, c / 2, d)
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end
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-- cubic
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local function inCubic (t, b, c, d) return c * pow(t / d, 3) + b end
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local function outCubic(t, b, c, d) return c * (pow(t / d - 1, 3) + 1) + b end
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local function inOutCubic(t, b, c, d)
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t = t / d * 2
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if t < 1 then return c / 2 * t * t * t + b end
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t = t - 2
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return c / 2 * (t * t * t + 2) + b
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end
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local function outInCubic(t, b, c, d)
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if t < d / 2 then return outCubic(t * 2, b, c / 2, d) end
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return inCubic((t * 2) - d, b + c / 2, c / 2, d)
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end
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-- quart
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local function inQuart(t, b, c, d) return c * pow(t / d, 4) + b end
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local function outQuart(t, b, c, d) return -c * (pow(t / d - 1, 4) - 1) + b end
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local function inOutQuart(t, b, c, d)
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t = t / d * 2
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if t < 1 then return c / 2 * pow(t, 4) + b end
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return -c / 2 * (pow(t - 2, 4) - 2) + b
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end
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local function outInQuart(t, b, c, d)
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if t < d / 2 then return outQuart(t * 2, b, c / 2, d) end
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return inQuart((t * 2) - d, b + c / 2, c / 2, d)
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end
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-- quint
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local function inQuint(t, b, c, d) return c * pow(t / d, 5) + b end
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local function outQuint(t, b, c, d) return c * (pow(t / d - 1, 5) + 1) + b end
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local function inOutQuint(t, b, c, d)
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t = t / d * 2
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if t < 1 then return c / 2 * pow(t, 5) + b end
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return c / 2 * (pow(t - 2, 5) + 2) + b
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end
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local function outInQuint(t, b, c, d)
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if t < d / 2 then return outQuint(t * 2, b, c / 2, d) end
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return inQuint((t * 2) - d, b + c / 2, c / 2, d)
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end
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-- sine
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local function inSine(t, b, c, d) return -c * cos(t / d * (pi / 2)) + c + b end
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local function outSine(t, b, c, d) return c * sin(t / d * (pi / 2)) + b end
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local function inOutSine(t, b, c, d) return -c / 2 * (cos(pi * t / d) - 1) + b end
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local function outInSine(t, b, c, d)
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if t < d / 2 then return outSine(t * 2, b, c / 2, d) end
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return inSine((t * 2) -d, b + c / 2, c / 2, d)
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end
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-- expo
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local function inExpo(t, b, c, d)
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if t == 0 then return b end
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return c * pow(2, 10 * (t / d - 1)) + b - c * 0.001
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end
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local function outExpo(t, b, c, d)
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if t == d then return b + c end
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return c * 1.001 * (-pow(2, -10 * t / d) + 1) + b
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end
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local function inOutExpo(t, b, c, d)
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if t == 0 then return b end
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if t == d then return b + c end
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t = t / d * 2
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if t < 1 then return c / 2 * pow(2, 10 * (t - 1)) + b - c * 0.0005 end
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return c / 2 * 1.0005 * (-pow(2, -10 * (t - 1)) + 2) + b
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end
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local function outInExpo(t, b, c, d)
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if t < d / 2 then return outExpo(t * 2, b, c / 2, d) end
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return inExpo((t * 2) - d, b + c / 2, c / 2, d)
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end
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-- circ
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local function inCirc(t, b, c, d) return(-c * (sqrt(1 - pow(t / d, 2)) - 1) + b) end
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local function outCirc(t, b, c, d) return(c * sqrt(1 - pow(t / d - 1, 2)) + b) end
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local function inOutCirc(t, b, c, d)
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t = t / d * 2
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if t < 1 then return -c / 2 * (sqrt(1 - t * t) - 1) + b end
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t = t - 2
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return c / 2 * (sqrt(1 - t * t) + 1) + b
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end
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local function outInCirc(t, b, c, d)
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if t < d / 2 then return outCirc(t * 2, b, c / 2, d) end
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return inCirc((t * 2) - d, b + c / 2, c / 2, d)
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end
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-- elastic
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local function calculatePAS(p,a,c,d)
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p, a = p or d * 0.3, a or 0
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if a < abs(c) then return p, c, p / 4 end -- p, a, s
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return p, a, p / (2 * pi) * asin(c/a) -- p,a,s
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end
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local function inElastic(t, b, c, d, a, p)
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local s
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if t == 0 then return b end
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t = t / d
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if t == 1 then return b + c end
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p,a,s = calculatePAS(p,a,c,d)
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t = t - 1
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return -(a * pow(2, 10 * t) * sin((t * d - s) * (2 * pi) / p)) + b
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end
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local function outElastic(t, b, c, d, a, p)
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local s
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if t == 0 then return b end
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t = t / d
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if t == 1 then return b + c end
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p,a,s = calculatePAS(p,a,c,d)
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return a * pow(2, -10 * t) * sin((t * d - s) * (2 * pi) / p) + c + b
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end
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local function inOutElastic(t, b, c, d, a, p)
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local s
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if t == 0 then return b end
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t = t / d * 2
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if t == 2 then return b + c end
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p,a,s = calculatePAS(p,a,c,d)
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t = t - 1
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if t < 0 then return -0.5 * (a * pow(2, 10 * t) * sin((t * d - s) * (2 * pi) / p)) + b end
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return a * pow(2, -10 * t) * sin((t * d - s) * (2 * pi) / p ) * 0.5 + c + b
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end
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local function outInElastic(t, b, c, d, a, p)
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if t < d / 2 then return outElastic(t * 2, b, c / 2, d, a, p) end
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return inElastic((t * 2) - d, b + c / 2, c / 2, d, a, p)
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end
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-- back
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local function inBack(t, b, c, d, s)
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s = s or 1.70158
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t = t / d
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return c * t * t * ((s + 1) * t - s) + b
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end
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local function outBack(t, b, c, d, s)
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s = s or 1.70158
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t = t / d - 1
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return c * (t * t * ((s + 1) * t + s) + 1) + b
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end
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local function inOutBack(t, b, c, d, s)
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s = (s or 1.70158) * 1.525
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t = t / d * 2
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if t < 1 then return c / 2 * (t * t * ((s + 1) * t - s)) + b end
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t = t - 2
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return c / 2 * (t * t * ((s + 1) * t + s) + 2) + b
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end
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local function outInBack(t, b, c, d, s)
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if t < d / 2 then return outBack(t * 2, b, c / 2, d, s) end
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return inBack((t * 2) - d, b + c / 2, c / 2, d, s)
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end
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-- bounce
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local function outBounce(t, b, c, d)
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t = t / d
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if t < 1 / 2.75 then return c * (7.5625 * t * t) + b end
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if t < 2 / 2.75 then
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t = t - (1.5 / 2.75)
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return c * (7.5625 * t * t + 0.75) + b
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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 c * (7.5625 * t * t + 0.9375) + b
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end
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t = t - (2.625 / 2.75)
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return c * (7.5625 * t * t + 0.984375) + b
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end
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local function inBounce(t, b, c, d) return c - outBounce(d - t, 0, c, d) + b end
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local function inOutBounce(t, b, c, d)
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if t < d / 2 then return inBounce(t * 2, 0, c, d) * 0.5 + b end
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return outBounce(t * 2 - d, 0, c, d) * 0.5 + c * .5 + b
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end
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local function outInBounce(t, b, c, d)
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if t < d / 2 then return outBounce(t * 2, b, c / 2, d) end
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return inBounce((t * 2) - d, b + c / 2, c / 2, d)
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end
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tween.easing = {
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linear = linear,
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inQuad = inQuad, outQuad = outQuad, inOutQuad = inOutQuad, outInQuad = outInQuad,
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inCubic = inCubic, outCubic = outCubic, inOutCubic = inOutCubic, outInCubic = outInCubic,
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inQuart = inQuart, outQuart = outQuart, inOutQuart = inOutQuart, outInQuart = outInQuart,
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inQuint = inQuint, outQuint = outQuint, inOutQuint = inOutQuint, outInQuint = outInQuint,
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inSine = inSine, outSine = outSine, inOutSine = inOutSine, outInSine = outInSine,
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inExpo = inExpo, outExpo = outExpo, inOutExpo = inOutExpo, outInExpo = outInExpo,
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inCirc = inCirc, outCirc = outCirc, inOutCirc = inOutCirc, outInCirc = outInCirc,
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inElastic = inElastic, outElastic = outElastic, inOutElastic = inOutElastic, outInElastic = outInElastic,
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inBack = inBack, outBack = outBack, inOutBack = inOutBack, outInBack = outInBack,
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inBounce = inBounce, outBounce = outBounce, inOutBounce = inOutBounce, outInBounce = outInBounce
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}
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-- private stuff
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local function copyTables(destination, keysTable, valuesTable)
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valuesTable = valuesTable or keysTable
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local mt = getmetatable(keysTable)
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if mt and getmetatable(destination) == nil then
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setmetatable(destination, mt)
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end
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for k,v in pairs(keysTable) do
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if type(v) == 'table' then
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destination[k] = copyTables({}, v, valuesTable[k])
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else
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destination[k] = valuesTable[k]
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end
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end
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return destination
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end
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local function checkSubjectAndTargetRecursively(subject, target, path)
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path = path or {}
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local targetType, newPath
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for k,targetValue in pairs(target) do
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targetType, newPath = type(targetValue), copyTables({}, path)
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table.insert(newPath, tostring(k))
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if targetType == 'number' then
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assert(type(subject[k]) == 'number', "Parameter '" .. table.concat(newPath,'/') .. "' is missing from subject or isn't a number")
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elseif targetType == 'table' then
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checkSubjectAndTargetRecursively(subject[k], targetValue, newPath)
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else
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assert(targetType == 'number', "Parameter '" .. table.concat(newPath,'/') .. "' must be a number or table of numbers")
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end
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end
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end
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local function checkNewParams(duration, subject, target, easing)
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assert(type(duration) == 'number' and duration > 0, "duration must be a positive number. Was " .. tostring(duration))
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local tsubject = type(subject)
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assert(tsubject == 'table' or tsubject == 'userdata', "subject must be a table or userdata. Was " .. tostring(subject))
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assert(type(target)== 'table', "target must be a table. Was " .. tostring(target))
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assert(type(easing)=='function', "easing must be a function. Was " .. tostring(easing))
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checkSubjectAndTargetRecursively(subject, target)
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end
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local function getEasingFunction(easing)
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easing = easing or "linear"
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if type(easing) == 'string' then
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local name = easing
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easing = tween.easing[name]
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if type(easing) ~= 'function' then
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error("The easing function name '" .. name .. "' is invalid")
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end
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end
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return easing
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end
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local function performEasingOnSubject(subject, target, initial, clock, duration, easing)
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local t,b,c,d
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for k,v in pairs(target) do
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if type(v) == 'table' then
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performEasingOnSubject(subject[k], v, initial[k], clock, duration, easing)
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else
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t,b,c,d = clock, initial[k], v - initial[k], duration
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subject[k] = easing(t,b,c,d)
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end
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end
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end
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-- Tween methods
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local Tween = {}
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local Tween_mt = {__index = Tween}
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function Tween:set(clock)
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assert(type(clock) == 'number', "clock must be a positive number or 0")
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self.initial = self.initial or copyTables({}, self.target, self.subject)
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self.clock = clock
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if self.clock <= 0 then
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self.clock = 0
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copyTables(self.subject, self.initial)
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elseif self.clock >= self.duration then -- the tween has expired
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self.clock = self.duration
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copyTables(self.subject, self.target)
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else
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performEasingOnSubject(self.subject, self.target, self.initial, self.clock, self.duration, self.easing)
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end
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return self.clock >= self.duration
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end
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function Tween:reset()
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return self:set(0)
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end
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function Tween:update(dt)
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assert(type(dt) == 'number', "dt must be a number")
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return self:set(self.clock + dt)
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end
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-- Public interface
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function tween.new(duration, subject, target, easing)
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easing = getEasingFunction(easing)
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checkNewParams(duration, subject, target, easing)
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return setmetatable({
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duration = duration,
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subject = subject,
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target = target,
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easing = easing,
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clock = 0
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}, Tween_mt)
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end
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return tween |