| | """ |
| | Define a series of easing functions for more natural-looking animations. |
| | Taken from https://easings.net/ and translated from JavaScript. |
| | """ |
| |
|
| | from math import pi, cos, sin, sqrt |
| |
|
| |
|
| | def _in_out_expo(x: float) -> float: |
| | """https://easings.net/#easeInOutExpo""" |
| | if 0 < x < 0.5: |
| | return pow(2, 20 * x - 10) / 2 |
| | elif 0.5 <= x < 1: |
| | return (2 - pow(2, -20 * x + 10)) / 2 |
| | else: |
| | return x |
| |
|
| |
|
| | def _in_out_circ(x: float) -> float: |
| | """https://easings.net/#easeInOutCirc""" |
| | if x < 0.5: |
| | return (1 - sqrt(1 - pow(2 * x, 2))) / 2 |
| | else: |
| | return (sqrt(1 - pow(-2 * x + 2, 2)) + 1) / 2 |
| |
|
| |
|
| | def _in_out_back(x: float) -> float: |
| | """https://easings.net/#easeInOutBack""" |
| | c = 1.70158 * 1.525 |
| | if x < 0.5: |
| | return (pow(2 * x, 2) * ((c + 1) * 2 * x - c)) / 2 |
| | else: |
| | return (pow(2 * x - 2, 2) * ((c + 1) * (x * 2 - 2) + c) + 2) / 2 |
| |
|
| |
|
| | def _in_elastic(x: float) -> float: |
| | """https://easings.net/#easeInElastic""" |
| | c = 2 * pi / 3 |
| | if 0 < x < 1: |
| | return -pow(2, 10 * x - 10) * sin((x * 10 - 10.75) * c) |
| | else: |
| | return x |
| |
|
| |
|
| | def _in_out_elastic(x: float) -> float: |
| | """https://easings.net/#easeInOutElastic""" |
| | c = 2 * pi / 4.5 |
| | if 0 < x < 0.5: |
| | return -(pow(2, 20 * x - 10) * sin((20 * x - 11.125) * c)) / 2 |
| | elif 0.5 <= x < 1: |
| | return (pow(2, -20 * x + 10) * sin((20 * x - 11.125) * c)) / 2 + 1 |
| | else: |
| | return x |
| |
|
| |
|
| | def _out_elastic(x: float) -> float: |
| | """https://easings.net/#easeInOutElastic""" |
| | c = 2 * pi / 3 |
| | if 0 < x < 1: |
| | return pow(2, -10 * x) * sin((x * 10 - 0.75) * c) + 1 |
| | else: |
| | return x |
| |
|
| |
|
| | def _out_bounce(x: float) -> float: |
| | """https://easings.net/#easeOutBounce""" |
| | n, d = 7.5625, 2.75 |
| | if x < 1 / d: |
| | return n * x * x |
| | elif x < 2 / d: |
| | x_ = x - 1.5 / d |
| | return n * x_ * x_ + 0.75 |
| | elif x < 2.5 / d: |
| | x_ = x - 2.25 / d |
| | return n * x_ * x_ + 0.9375 |
| | else: |
| | x_ = x - 2.625 / d |
| | return n * x_ * x_ + 0.984375 |
| |
|
| |
|
| | def _in_bounce(x: float) -> float: |
| | """https://easings.net/#easeInBounce""" |
| | return 1 - _out_bounce(1 - x) |
| |
|
| |
|
| | def _in_out_bounce(x: float) -> float: |
| | """https://easings.net/#easeInOutBounce""" |
| | if x < 0.5: |
| | return (1 - _out_bounce(1 - 2 * x)) / 2 |
| | else: |
| | return (1 + _out_bounce(2 * x - 1)) / 2 |
| |
|
| |
|
| | EASING = { |
| | "none": lambda x: 1.0, |
| | "round": lambda x: 0.0 if x < 0.5 else 1.0, |
| | "linear": lambda x: x, |
| | "in_sine": lambda x: 1 - cos((x * pi) / 2), |
| | "in_out_sine": lambda x: -(cos(x * pi) - 1) / 2, |
| | "out_sine": lambda x: sin((x * pi) / 2), |
| | "in_quad": lambda x: x * x, |
| | "in_out_quad": lambda x: 2 * x * x if x < 0.5 else 1 - pow(-2 * x + 2, 2) / 2, |
| | "out_quad": lambda x: 1 - pow(1 - x, 2), |
| | "in_cubic": lambda x: x * x * x, |
| | "in_out_cubic": lambda x: 4 * x * x * x if x < 0.5 else 1 - pow(-2 * x + 2, 3) / 2, |
| | "out_cubic": lambda x: 1 - pow(1 - x, 3), |
| | "in_quart": lambda x: pow(x, 4), |
| | "in_out_quart": lambda x: 8 * pow(x, 4) if x < 0.5 else 1 - pow(-2 * x + 2, 4) / 2, |
| | "out_quart": lambda x: 1 - pow(1 - x, 4), |
| | "in_quint": lambda x: pow(x, 5), |
| | "in_out_quint": lambda x: 16 * pow(x, 5) if x < 0.5 else 1 - pow(-2 * x + 2, 5) / 2, |
| | "out_quint": lambda x: 1 - pow(1 - x, 5), |
| | "in_expo": lambda x: pow(2, 10 * x - 10) if x else 0, |
| | "in_out_expo": _in_out_expo, |
| | "out_expo": lambda x: 1 - pow(2, -10 * x) if x != 1 else 1, |
| | "in_circ": lambda x: 1 - sqrt(1 - pow(x, 2)), |
| | "in_out_circ": _in_out_circ, |
| | "out_circ": lambda x: sqrt(1 - pow(x - 1, 2)), |
| | "in_back": lambda x: 2.70158 * pow(x, 3) - 1.70158 * pow(x, 2), |
| | "in_out_back": _in_out_back, |
| | "out_back": lambda x: 1 + 2.70158 * pow(x - 1, 3) + 1.70158 * pow(x - 1, 2), |
| | "in_elastic": _in_elastic, |
| | "in_out_elastic": _in_out_elastic, |
| | "out_elastic": _out_elastic, |
| | "in_bounce": _in_bounce, |
| | "in_out_bounce": _in_out_bounce, |
| | "out_bounce": _out_bounce, |
| | } |
| |
|
| | DEFAULT_EASING = "in_out_cubic" |
| |
|
