#pragma once // used: math functions #include "math.h" namespace EASING { CS_INLINE double InSine(const double t) { return M_SIN(1.5707963 * t); } CS_INLINE double OutSine(double t) { return 1 + M_SIN(1.5707963 * (--t)); } CS_INLINE double InOutSine(const double t) { return 0.5 * (1 + M_SIN(3.1415926 * (t - 0.5))); } CS_INLINE double InQuad(const double t) { return t * t; } CS_INLINE double OutQuad(const double t) { return t * (2 - t); } CS_INLINE double InOutQuad(const double t) { return t < 0.5 ? 2 * t * t : t * (4 - 2 * t) - 1; } CS_INLINE double InCubic(const double t) { return t * t * t; } CS_INLINE double OutCubic(double t) { return 1 + (--t) * t * t; } CS_INLINE double InOutCubic(double t) { return t < 0.5 ? 4 * t * t * t : 1 + (--t) * (2 * (--t)) * (2 * t); } CS_INLINE double InQuart(double t) { t *= t; return t * t; } CS_INLINE double OutQuart(double t) { t = (--t) * t; return 1 - t * t; } CS_INLINE double InOutQuart(double t) { if (t < 0.5) { t *= t; return 8 * t * t; } else { t = (--t) * t; return 1 - 8 * t * t; } } CS_INLINE double InQuint(const double t) { const double t2 = t * t; return t * t2 * t2; } CS_INLINE double OutQuint(double t) { const double t2 = (--t) * t; return 1 + t * t2 * t2; } CS_INLINE double InOutQuint(double t) { double t2; if (t < 0.5) { t2 = t * t; return 16 * t * t2 * t2; } else { t2 = (--t) * t; return 1 + 16 * t * t2 * t2; } } CS_INLINE double InExpo(const double t) { return (M_POW(2.0, 8 * t) - 1) / 255; } CS_INLINE double OutExpo(const double t) { return 1 - M_POW(2.0, -8 * t); } CS_INLINE double InOutExpo(const double t) { if (t < 0.5) { return (M_POW(2.0, 16 * t) - 1) / 510; } else { return 1 - 0.5 * M_POW(2.0, -16 * (t - 0.5)); } } CS_INLINE double InCirc(const double t) { return 1 - M_SQRT(1 - t); } CS_INLINE double OutCirc(const double t) { return M_SQRT(t); } CS_INLINE double InOutCirc(const double t) { if (t < 0.5) { return (1 - M_SQRT(1 - 2 * t)) * 0.5; } else { return (1 + M_SQRT(2 * t - 1)) * 0.5; } } CS_INLINE double InBack(const double t) { return t * t * (2.70158 * t - 1.70158); } CS_INLINE double OutBack(double t) { return 1 + (--t) * t * (2.70158 * t + 1.70158); } CS_INLINE double InOutBack(double t) { if (t < 0.5) { return t * t * (7 * t - 2.5) * 2; } else { return 1 + (--t) * t * 2 * (7 * t + 2.5); } } CS_INLINE double InElastic(const double t) { const double t2 = t * t; return t2 * t2 * M_SIN(t * MATH::_PI * 4.5); } CS_INLINE double OutElastic(const double t) { const double t2 = (t - 1) * (t - 1); return 1 - t2 * t2 * M_COS(t * MATH::_PI * 4.5); } CS_INLINE double InOutElastic(const double t) { double t2; if (t < 0.45) { t2 = t * t; return 8 * t2 * t2 * M_SIN(t * MATH::_PI * 9); } else if (t < 0.55) { return 0.5 + 0.75 * M_SIN(t * MATH::_PI * 4); } else { t2 = (t - 1) * (t - 1); return 1 - 8 * t2 * t2 * M_SIN(t * MATH::_PI * 9); } } CS_INLINE double InBounce(const double t) { return M_POW(2.0, 6 * (t - 1)) * M_ABS(M_SIN(t * MATH::_PI * 3.5)); } CS_INLINE double OutBounce(const double t) { return 1 - M_POW(2.0, -6 * t) * M_ABS(M_COS(t * MATH::_PI * 3.5)); } CS_INLINE double InOutBounce(const double t) { if (t < 0.5) { return 8 * M_POW(2.0, 8 * (t - 1)) * M_ABS(M_SIN(t * MATH::_PI * 7)); } else { return 1 - 8 * M_POW(2.0, -8 * t) * M_ABS(M_SIN(t * MATH::_PI * 7)); } } }