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Diffstat (limited to 'thirdparty/misc/easing_equations.cpp')
| -rw-r--r-- | thirdparty/misc/easing_equations.cpp | 308 |
1 files changed, 308 insertions, 0 deletions
diff --git a/thirdparty/misc/easing_equations.cpp b/thirdparty/misc/easing_equations.cpp new file mode 100644 index 0000000000..bc84564b19 --- /dev/null +++ b/thirdparty/misc/easing_equations.cpp @@ -0,0 +1,308 @@ +/** + * Adapted from Penner Easing equations' C++ port. + * Source: https://github.com/jesusgollonet/ofpennereasing + * License: BSD-3-clause + */ + +#include "scene/animation/tween.h" + +const real_t pi = 3.1415926535898; + +/////////////////////////////////////////////////////////////////////////// +// linear +/////////////////////////////////////////////////////////////////////////// +namespace linear { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + return c * t / d + b; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + return c * t / d + b; +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + return c * t / d + b; +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return c * t / d + b; +} +}; // namespace linear +/////////////////////////////////////////////////////////////////////////// +// sine +/////////////////////////////////////////////////////////////////////////// +namespace sine { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + return -c * cos(t / d * (pi / 2)) + c + b; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + return c * sin(t / d * (pi / 2)) + b; +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + return -c / 2 * (cos(pi * t / d) - 1) + b; +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace sine +/////////////////////////////////////////////////////////////////////////// +// quint +/////////////////////////////////////////////////////////////////////////// +namespace quint { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + return c * pow(t / d, 5) + b; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + return c * (pow(t / d - 1, 5) + 1) + b; +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + t = t / d * 2; + if (t < 1) return c / 2 * pow(t, 5) + b; + return c / 2 * (pow(t - 2, 5) + 2) + b; +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace quint +/////////////////////////////////////////////////////////////////////////// +// quart +/////////////////////////////////////////////////////////////////////////// +namespace quart { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + return c * pow(t / d, 4) + b; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + return -c * (pow(t / d - 1, 4) - 1) + b; +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + t = t / d * 2; + if (t < 1) return c / 2 * pow(t, 4) + b; + return -c / 2 * (pow(t - 2, 4) - 2) + b; +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace quart +/////////////////////////////////////////////////////////////////////////// +// quad +/////////////////////////////////////////////////////////////////////////// +namespace quad { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + return c * pow(t / d, 2) + b; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + t = t / d; + return -c * t * (t - 2) + b; +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + t = t / d * 2; + if (t < 1) return c / 2 * pow(t, 2) + b; + return -c / 2 * ((t - 1) * (t - 3) - 1) + b; +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace quad +/////////////////////////////////////////////////////////////////////////// +// expo +/////////////////////////////////////////////////////////////////////////// +namespace expo { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + if (t == 0) return b; + return c * pow(2, 10 * (t / d - 1)) + b - c * 0.001; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + if (t == d) return b + c; + return c * 1.001 * (-pow(2, -10 * t / d) + 1) + b; +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + if (t == 0) return b; + if (t == d) return b + c; + t = t / d * 2; + if (t < 1) return c / 2 * pow(2, 10 * (t - 1)) + b - c * 0.0005; + return c / 2 * 1.0005 * (-pow(2, -10 * (t - 1)) + 2) + b; +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace expo +/////////////////////////////////////////////////////////////////////////// +// elastic +/////////////////////////////////////////////////////////////////////////// +namespace elastic { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + if (t == 0) return b; + if ((t /= d) == 1) return b + c; + float p = d * 0.3f; + float a = c; + float s = p / 4; + float postFix = a * pow(2, 10 * (t -= 1)); // this is a fix, again, with post-increment operators + return -(postFix * sin((t * d - s) * (2 * pi) / p)) + b; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + if (t == 0) return b; + if ((t /= d) == 1) return b + c; + float p = d * 0.3f; + float a = c; + float s = p / 4; + return (a * pow(2, -10 * t) * sin((t * d - s) * (2 * pi) / p) + c + b); +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + if (t == 0) return b; + if ((t /= d / 2) == 2) return b + c; + float p = d * (0.3f * 1.5f); + float a = c; + float s = p / 4; + + if (t < 1) { + float postFix = a * pow(2, 10 * (t -= 1)); // postIncrement is evil + return -0.5f * (postFix * sin((t * d - s) * (2 * pi) / p)) + b; + } + float postFix = a * pow(2, -10 * (t -= 1)); // postIncrement is evil + return postFix * sin((t * d - s) * (2 * pi) / p) * 0.5f + c + b; +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace elastic +/////////////////////////////////////////////////////////////////////////// +// cubic +/////////////////////////////////////////////////////////////////////////// +namespace cubic { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + return c * (t /= d) * t * t + b; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + t = t / d - 1; + return c * (t * t * t + 1) + b; +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + if ((t /= d / 2) < 1) return c / 2 * t * t * t + b; + return c / 2 * ((t -= 2) * t * t + 2) + b; +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace cubic +/////////////////////////////////////////////////////////////////////////// +// circ +/////////////////////////////////////////////////////////////////////////// +namespace circ { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + return -c * (sqrt(1 - (t /= d) * t) - 1) + b; // TODO: ehrich: operation with t is undefined +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + return c * sqrt(1 - (t = t / d - 1) * t) + b; // TODO: ehrich: operation with t is undefined +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + if ((t /= d / 2) < 1) return -c / 2 * (sqrt(1 - t * t) - 1) + b; + return c / 2 * (sqrt(1 - t * (t -= 2)) + 1) + b; // TODO: ehrich: operation with t is undefined +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace circ +/////////////////////////////////////////////////////////////////////////// +// bounce +/////////////////////////////////////////////////////////////////////////// +namespace bounce { +static real_t out(real_t t, real_t b, real_t c, real_t d); + +static real_t in(real_t t, real_t b, real_t c, real_t d) { + return c - out(d - t, 0, c, d) + b; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + if ((t /= d) < (1 / 2.75f)) { + return c * (7.5625f * t * t) + b; + } else if (t < (2 / 2.75f)) { + float postFix = t -= (1.5f / 2.75f); + return c * (7.5625f * (postFix)*t + .75f) + b; + } else if (t < (2.5 / 2.75)) { + float postFix = t -= (2.25f / 2.75f); + return c * (7.5625f * (postFix)*t + .9375f) + b; + } else { + float postFix = t -= (2.625f / 2.75f); + return c * (7.5625f * (postFix)*t + .984375f) + b; + } +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? in(t * 2, b, c / 2, d) : out((t * 2) - d, b + c / 2, c / 2, d); +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace bounce +/////////////////////////////////////////////////////////////////////////// +// back +/////////////////////////////////////////////////////////////////////////// +namespace back { +static real_t in(real_t t, real_t b, real_t c, real_t d) { + float s = 1.70158f; + float postFix = t /= d; + return c * (postFix)*t * ((s + 1) * t - s) + b; +} + +static real_t out(real_t t, real_t b, real_t c, real_t d) { + float s = 1.70158f; + return c * ((t = t / d - 1) * t * ((s + 1) * t + s) + 1) + b; // TODO: ehrich: operation with t is undefined +} + +static real_t in_out(real_t t, real_t b, real_t c, real_t d) { + float s = 1.70158f; + if ((t /= d / 2) < 1) return c / 2 * (t * t * (((s *= (1.525f)) + 1) * t - s)) + b; // TODO: ehrich: operation with s is undefined + float postFix = t -= 2; + return c / 2 * ((postFix)*t * (((s *= (1.525f)) + 1) * t + s) + 2) + b; // TODO: ehrich: operation with s is undefined +} + +static real_t out_in(real_t t, real_t b, real_t c, real_t d) { + return (t < d / 2) ? out(t * 2, b, c / 2, d) : in((t * 2) - d, b + c / 2, c / 2, d); +} +}; // namespace back + +Tween::interpolater Tween::interpolaters[Tween::TRANS_COUNT][Tween::EASE_COUNT] = { + { &linear::in, &linear::out, &linear::in_out, &linear::out_in }, + { &sine::in, &sine::out, &sine::in_out, &sine::out_in }, + { &quint::in, &quint::out, &quint::in_out, &quint::out_in }, + { &quart::in, &quart::out, &quart::in_out, &quart::out_in }, + { &quad::in, &quad::out, &quad::in_out, &quad::out_in }, + { &expo::in, &expo::out, &expo::in_out, &expo::out_in }, + { &elastic::in, &elastic::out, &elastic::in_out, &elastic::out_in }, + { &cubic::in, &cubic::out, &cubic::in_out, &cubic::out_in }, + { &circ::in, &circ::out, &circ::in_out, &circ::out_in }, + { &bounce::in, &bounce::out, &bounce::in_out, &bounce::out_in }, + { &back::in, &back::out, &back::in_out, &back::out_in }, +}; + +real_t Tween::_run_equation(TransitionType p_trans_type, EaseType p_ease_type, real_t t, real_t b, real_t c, real_t d) { + + interpolater cb = interpolaters[p_trans_type][p_ease_type]; + ERR_FAIL_COND_V(cb == NULL, b); + return cb(t, b, c, d); +} |