290 lines
6.7 KiB
C++
Executable File
290 lines
6.7 KiB
C++
Executable File
// Easing functions based on AHEasing
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// Converted to template functions for Gin
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//
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// Copyright (c) 2011, Auerhaus Development, LLC
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//
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// This program is free software. It comes without any warranty, to
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// the extent permitted by applicable law. You can redistribute it
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// and/or modify it under the terms of the Do What The Fuck You Want
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// To Public License, Version 2, as published by Sam Hocevar. See
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// http://sam.zoy.org/wtfpl/COPYING for more details.
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// Modeled after the line y = x
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template<class T>
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T easeLinear (T p)
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{
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return p;
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}
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// Modeled after the parabola y = x^2
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template<class T>
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T easeQuadraticIn (T p)
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{
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return p * p;
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}
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// Modeled after the parabola y = -x^2 + 2x
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template<class T>
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T easeQuadraticOut (T p)
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{
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return -(p * (p - 2));
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}
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// Modeled after the piecewise quadratic
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// y = (1/2)((2x)^2) ; [0, 0.5)
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// y = -(1/2)((2x-1)*(2x-3) - 1) ; [0.5, 1]
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template<class T>
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T easeQuadraticInOut (T p)
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{
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if (p < 0.5)
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return 2 * p * p;
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else
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return (-2 * p * p) + (4 * p) - 1;
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}
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// Modeled after the cubic y = x^3
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template<class T>
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T easeCubicIn (T p)
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{
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return p * p * p;
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}
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// Modeled after the cubic y = (x - 1)^3 + 1
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template<class T>
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T easeCubicOut (T p)
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{
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T f = (p - 1);
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return f * f * f + 1;
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}
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// Modeled after the piecewise cubic
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// y = (1/2)((2x)^3) ; [0, 0.5)
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// y = (1/2)((2x-2)^3 + 2) ; [0.5, 1]
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template<class T>
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T easeCubicInOut (T p)
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{
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if (p < 0.5)
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return 4 * p * p * p;
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T f = ((2 * p) - 2);
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return 0.5 * f * f * f + 1;
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}
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// Modeled after the quartic x^4
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template<class T>
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T easeQuarticIn (T p)
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{
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return p * p * p * p;
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}
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// Modeled after the quartic y = 1 - (x - 1)^4
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template<class T>
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T easeQuarticOut (T p)
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{
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T f = (p - 1);
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return f * f * f * (1 - p) + 1;
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}
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// Modeled after the piecewise quartic
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// y = (1/2)((2x)^4) ; [0, 0.5)
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// y = -(1/2)((2x-2)^4 - 2) ; [0.5, 1]
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template<class T>
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T easeQuarticInOut (T p)
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{
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if (p < 0.5)
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return 8 * p * p * p * p;
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T f = (p - 1);
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return -8 * f * f * f * f + 1;
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}
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// Modeled after the quintic y = x^5
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template<class T>
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T easeQuinticIn (T p)
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{
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return p * p * p * p * p;
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}
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// Modeled after the quintic y = (x - 1)^5 + 1
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template<class T>
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T easeQuinticOut (T p)
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{
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T f = (p - 1);
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return f * f * f * f * f + 1;
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}
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// Modeled after the piecewise quintic
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// y = (1/2)((2x)^5) ; [0, 0.5)
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// y = (1/2)((2x-2)^5 + 2) ; [0.5, 1]
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template<class T>
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T easeQuinticInOut (T p)
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{
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if (p < 0.5)
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return 16 * p * p * p * p * p;
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T f = ((2 * p) - 2);
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return 0.5 * f * f * f * f * f + 1;
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}
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// Modeled after quarter-cycle of sine wave
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template<class T>
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T easeSineIn (T p)
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{
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return std::sin ((p - 1) * (MathConstants<T>::pi / 2)) + 1;
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}
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// Modeled after quarter-cycle of sine wave (different phase)
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template<class T>
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T easeSineOut (T p)
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{
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return std::sin (p * MathConstants<T>::pi / 2);
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}
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// Modeled after half sine wave
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template<class T>
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T easeSineInOut (T p)
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{
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return T (0.5) * (1 - std::cos (p * MathConstants<T>::pi));
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}
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// Modeled after shifted quadrant IV of unit circle
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template<class T>
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T easeCircularIn (T p)
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{
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return 1 - std::sqrt (1 - (p * p));
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}
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// Modeled after shifted quadrant II of unit circle
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template<class T>
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T easeCircularOut (T p)
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{
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return std::sqrt ((2 - p) * p);
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}
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// Modeled after the piecewise circular function
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// y = (1/2)(1 - sqrt(1 - 4x^2)) ; [0, 0.5)
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// y = (1/2)(sqrt(-(2x - 3)*(2x - 1)) + 1) ; [0.5, 1]
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template<class T>
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T easeCircularInOut (T p)
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{
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if (p < 0.5)
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return 0.5 * (1 - std::sqrt (1 - 4 * (p * p)));
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else
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return 0.5 * (std::sqrt (-((2 * p) - 3) * ((2 * p) - 1)) + 1);
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}
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// Modeled after the exponential function y = 2^(10(x - 1))
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template<class T>
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T easeExponentialIn (T p)
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{
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return (p == 0.0) ? p : std::pow (2, 10 * (p - 1));
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}
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// Modeled after the exponential function y = -2^(-10x) + 1
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template<class T>
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T easeExponentialOut (T p)
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{
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return (p == 1.0) ? p : 1 - std::pow (2, -10 * p);
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}
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// Modeled after the piecewise exponential
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// y = (1/2)2^(10(2x - 1)) ; [0,0.5)
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// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
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template<class T>
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T easeExponentialInOut (T p)
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{
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if (p == 0.0 || p == 1.0) return p;
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if (p < 0.5)
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return 0.5 * std::pow (2, (20 * p) - 10);
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else
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return -0.5 * std::pow (2, (-20 * p) + 10) + 1;
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}
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// Modeled after the damped sine wave y = sin(13pi/2*x)*pow(2, 10 * (x - 1))
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template<class T>
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T easeElasticIn (T p)
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{
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return std::sin (13 * (MathConstants<T>::pi / 2) * p) * std::pow (2, 10 * (p - 1));
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}
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// Modeled after the damped sine wave y = sin(-13pi/2*(x + 1))*pow(2, -10x) + 1
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template<class T>
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T easeElasticOut (T p)
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{
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return std::sin (-13 * (MathConstants<T>::pi / 2) * (p + 1)) * std::pow (2, -10 * p) + 1;
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}
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// Modeled after the piecewise exponentially-damped sine wave:
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// y = (1/2)*sin(13pi/2*(2*x))*pow(2, 10 * ((2*x) - 1)) ; [0,0.5)
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// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*pow(2,-10(2*x-1)) + 2) ; [0.5, 1]
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template<class T>
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T easeElasticInOut (T p)
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{
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if (p < 0.5)
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return 0.5 * std::sin (13 * (MathConstants<T>::pi / 2) * (2 * p)) * std::pow (2, 10 * ((2 * p) - 1));
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else
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return 0.5 * (std::sin (-13 * (MathConstants<T>::pi / 2) * ((2 * p - 1) + 1)) * std::pow (2, -10 * (2 * p - 1)) + 2);
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}
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// Modeled after the overshooting cubic y = x^3-x*sin(x*pi)
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template<class T>
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T easeBackIn (T p)
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{
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return p * p * p - p * std::sin (p * MathConstants<T>::pi);
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}
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// Modeled after overshooting cubic y = 1-((1-x)^3-(1-x)*sin((1-x)*pi))
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template<class T>
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T easeBackOut (T p)
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{
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T f = (1 - p);
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return 1 - (f * f * f - f * std::sin (f * MathConstants<T>::pi));
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}
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// Modeled after the piecewise overshooting cubic function:
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// y = (1/2)*((2x)^3-(2x)*sin(2*x*pi)) ; [0, 0.5)
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// y = (1/2)*(1-((1-x)^3-(1-x)*sin((1-x)*pi))+1) ; [0.5, 1]
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template<class T>
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T easeBackInOut (T p)
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{
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if (p < 0.5)
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{
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T f = 2 * p;
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return 0.5 * (f * f * f - f * std::sin (f * MathConstants<T>::pi));
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}
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else
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{
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T f = (1 - (2*p - 1));
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return 0.5 * (1 - (f * f * f - f * std::sin (f * MathConstants<T>::pi))) + 0.5;
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}
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}
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template<class T>
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T easeBounceIn (T p)
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{
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return 1 - easeBounceOut (1 - p);
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}
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template<class T>
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T easeBounceOut (T p)
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{
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if (p < 4/11.0)
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return (121 * p * p) / 16.0;
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else if (p < 8/11.0)
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return (363/40.0 * p * p) - (99/10.0 * p) + 17/5.0;
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else if (p < 9/10.0)
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return (4356/361.0 * p * p) - (35442/1805.0 * p) + 16061/1805.0;
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else
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return (54/5.0 * p * p) - (513/25.0 * p) + 268/25.0;
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}
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template<class T>
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T easeBounceInOut (T p)
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{
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if (p < 0.5)
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return 0.5 * easeBounceEaseIn (p * 2);
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else
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return 0.5 * easeBounceEaseOut (p * 2 - 1) + 0.5;
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}
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