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Refactor and move easing equations

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This commit is contained in:
kobewi 2021-09-24 13:23:49 +02:00
parent 5e4a71200e
commit 11e7963a14
6 changed files with 437 additions and 335 deletions
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12
COPYRIGHT.txt
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@ -80,6 +80,13 @@ Copyright: 2008-2016, The Android Open Source Project
2002, Google, Inc.
License: Apache-2.0
Files: ./scene/animation/easing_equations.h
Comment: Robert Penner's Easing Functions
Copyright: 2001, Robert Penner
2007-2021 Juan Linietsky, Ariel Manzur.
2014-2021 Godot Engine contributors.
License: Expat
Files: ./servers/physics_3d/collision_solver_3d_sat.cpp
Comment: Open Dynamics Engine
Copyright: 2001-2003, Russell L. Smith, Alen Ladavac, Nguyen Binh
@ -307,11 +314,6 @@ Comment: Fast Filtering of Reflection Probes
Copyright: 2016, Activision Publishing, Inc.
License: Expat
Files: ./thirdparty/misc/easing_equations.cpp
Comment: Robert Penner's Easing Functions
Copyright: 2001, Robert Penner
License: BSD-3-clause
Files: ./thirdparty/misc/fastlz.c
./thirdparty/misc/fastlz.h
Comment: FastLZ

3
scene/animation/SCsub
View file

@ -6,11 +6,8 @@ Import("env")
thirdparty_obj = []
thirdparty_sources = "#thirdparty/misc/easing_equations.cpp"
env_thirdparty = env.Clone()
env_thirdparty.disable_warnings()
env_thirdparty.add_source_files(thirdparty_obj, thirdparty_sources)
env.scene_sources += thirdparty_obj
# Godot source files

405
scene/animation/easing_equations.h Normal file
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@ -0,0 +1,405 @@
/*************************************************************************/
/* easing_equations.h */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2021 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2021 Godot Engine contributors (cf. AUTHORS.md). */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
/* "Software"), to deal in the Software without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
/* distribute, sublicense, and/or sell copies of the Software, and to */
/* permit persons to whom the Software is furnished to do so, subject to */
/* the following conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
/*
* Derived from Robert Penner's easing equations: http://robertpenner.com/easing/
*
* Copyright (c) 2001 Robert Penner
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
#ifndef EASING_EQUATIONS_H
#define EASING_EQUATIONS_H
namespace linear {
static real_t in(real_t t, real_t b, real_t c, real_t d) {
return c * t / d + b;
}
}; // namespace linear
namespace sine {
static real_t in(real_t t, real_t b, real_t c, real_t d) {
return -c * cos(t / d * (Math_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 * (Math_PI / 2)) + b;
}
static real_t in_out(real_t t, real_t b, real_t c, real_t d) {
return -c / 2 * (cos(Math_PI * t / d) - 1) + b;
}
static real_t out_in(real_t t, real_t b, real_t c, real_t d) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace sine
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) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace quint
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) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace quart
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 /= 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) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace quad
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) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace expo
namespace elastic {
static real_t in(real_t t, real_t b, real_t c, real_t d) {
if (t == 0) {
return b;
}
t /= d;
if (t == 1) {
return b + c;
}
t -= 1;
float p = d * 0.3f;
float a = c * pow(2, 10 * t);
float s = p / 4;
return -(a * sin((t * d - s) * (2 * Math_PI) / p)) + b;
}
static real_t out(real_t t, real_t b, real_t c, real_t d) {
if (t == 0) {
return b;
}
t /= d;
if (t == 1) {
return b + c;
}
float p = d * 0.3f;
float s = p / 4;
return (c * pow(2, -10 * t) * sin((t * d - s) * (2 * Math_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) {
t -= 1;
a *= pow(2, 10 * t);
return -0.5f * (a * sin((t * d - s) * (2 * Math_PI) / p)) + b;
}
t -= 1;
a *= pow(2, -10 * t);
return a * sin((t * d - s) * (2 * Math_PI) / p) * 0.5f + c + b;
}
static real_t out_in(real_t t, real_t b, real_t c, real_t d) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace elastic
namespace cubic {
static real_t in(real_t t, real_t b, real_t c, real_t d) {
t /= d;
return c * t * 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) {
t /= d / 2;
if (t < 1) {
return c / 2 * t * t * t + b;
}
t -= 2;
return c / 2 * (t * t * t + 2) + b;
}
static real_t out_in(real_t t, real_t b, real_t c, real_t d) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace cubic
namespace circ {
static real_t in(real_t t, real_t b, real_t c, real_t d) {
t /= d;
return -c * (sqrt(1 - t * t) - 1) + b;
}
static real_t out(real_t t, real_t b, real_t c, real_t d) {
t = t / d - 1;
return c * sqrt(1 - t * t) + b;
}
static real_t in_out(real_t t, real_t b, real_t c, real_t d) {
t /= d / 2;
if (t < 1) {
return -c / 2 * (sqrt(1 - t * t) - 1) + b;
}
t -= 2;
return c / 2 * (sqrt(1 - t * t) + 1) + b;
}
static real_t out_in(real_t t, real_t b, real_t c, real_t d) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace circ
namespace bounce {
static real_t out(real_t t, real_t b, real_t c, real_t d) {
t /= d;
if (t < (1 / 2.75f)) {
return c * (7.5625f * t * t) + b;
}
if (t < (2 / 2.75f)) {
t -= 1.5f / 2.75f;
return c * (7.5625f * t * t + 0.75f) + b;
}
if (t < (2.5 / 2.75)) {
t -= 2.25f / 2.75f;
return c * (7.5625f * t * t + 0.9375f) + b;
}
t -= 2.625f / 2.75f;
return c * (7.5625f * t * t + 0.984375f) + b;
}
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 in_out(real_t t, real_t b, real_t c, real_t d) {
if (t < d / 2) {
return in(t * 2, b, c / 2, d);
}
return 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) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace bounce
namespace back {
static real_t in(real_t t, real_t b, real_t c, real_t d) {
float s = 1.70158f;
t /= d;
return c * t * 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;
t = t / d - 1;
return c * (t * t * ((s + 1) * t + s) + 1) + b;
}
static real_t in_out(real_t t, real_t b, real_t c, real_t d) {
float s = 1.70158f * 1.525f;
t /= d / 2;
if (t < 1) {
return c / 2 * (t * t * ((s + 1) * t - s)) + b;
}
t -= 2;
return c / 2 * (t * t * ((s + 1) * t + s) + 2) + b;
}
static real_t out_in(real_t t, real_t b, real_t c, real_t d) {
if (t < d / 2) {
return out(t * 2, b, c / 2, d);
}
return in(t * 2 - d, b + c / 2, c / 2, d);
}
}; // namespace back
#endif

25
scene/animation/tween.cpp
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@ -30,8 +30,23 @@
#include "tween.h"
#include "scene/animation/easing_equations.h"
#include "scene/main/node.h"
Tween::interpolater Tween::interpolaters[Tween::TRANS_MAX][Tween::EASE_MAX] = {
{ &linear::in, &linear::in, &linear::in, &linear::in }, // Linear is the same for each easing.
{ &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 },
};
void Tweener::set_tween(Ref<Tween> p_tween) {
tween = p_tween;
}
@ -317,6 +332,16 @@ bool Tween::should_pause() {
return pause_mode != TWEEN_PAUSE_PROCESS;
}
real_t Tween::run_equation(TransitionType p_trans_type, EaseType p_ease_type, real_t p_time, real_t p_initial, real_t p_delta, real_t p_duration) {
if (p_duration == 0) {
// Special case to avoid dividing by 0 in equations.
return p_initial + p_delta;
}
interpolater func = interpolaters[p_trans_type][p_ease_type];
return func(p_time, p_initial, p_delta, p_duration);
}
Variant Tween::interpolate_variant(Variant p_initial_val, Variant p_delta_val, float p_time, float p_duration, TransitionType p_trans, EaseType p_ease) {
ERR_FAIL_INDEX_V(p_trans, TransitionType::TRANS_MAX, Variant());
ERR_FAIL_INDEX_V(p_ease, EaseType::EASE_MAX, Variant());

4
thirdparty/README.md vendored
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@ -422,10 +422,6 @@ Collection of single-file libraries used in Godot components.
* Upstream: https://research.activision.com/publications/archives/fast-filtering-of-reflection-probes
File coeffs_const_8.txt (retrieved April 2020)
* License: MIT
- `easing_equations.cpp`
* Upstream: http://robertpenner.com/easing/ via https://github.com/jesusgollonet/ofpennereasing (modified to fit Godot types)
* Version: git (af72c147c3a74e7e872aa28c7e2abfcced04fdce, 2008) + Godot types and style changes
* License: BSD-3-Clause
- `fastlz.{c,h}`
* Upstream: https://github.com/ariya/FastLZ
* Version: 0.5.0 (4f20f54d46f5a6dd4fae4def134933369b7602d2, 2020)

323
thirdparty/misc/easing_equations.cpp vendored
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@ -1,323 +0,0 @@
/**
* 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) {
t /= d;
return c * t * 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) {
t /= d / 2;
if (t < 1) return c / 2 * t * t * t + b;
t -= 2;
return c / 2 * (t * 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) {
t /= d;
return -c * (sqrt(1 - t * t) - 1) + b;
}
static real_t out(real_t t, real_t b, real_t c, real_t d) {
t = t / d - 1;
return c * sqrt(1 - t * t) + b;
}
static real_t in_out(real_t t, real_t b, real_t c, real_t d) {
t /= d / 2;
if (t < 1) {
return -c / 2 * (sqrt(1 - t * t) - 1) + b;
}
t -= 2;
return c / 2 * (sqrt(1 - t * t) + 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 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;
t = t / d - 1;
return c * (t * t * ((s + 1) * t + s) + 1) + b;
}
static real_t in_out(real_t t, real_t b, real_t c, real_t d) {
float s = 1.70158f * 1.525f;
t /= d / 2;
if (t < 1) return c / 2 * (t * t * ((s + 1) * t - s)) + b;
t -= 2;
return c / 2 * (t * t * ((s + 1) * t + s) + 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 back
Tween::interpolater Tween::interpolaters[Tween::TRANS_MAX][Tween::EASE_MAX] = {
{ &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) {
if (d == 0) {
// Special case to avoid dividing by 0 in equations.
return b + c;
}
interpolater cb = interpolaters[p_trans_type][p_ease_type];
ERR_FAIL_COND_V(cb == NULL, b);
return cb(t, b, c, d);
}