diff options
| -rw-r--r-- | COPYRIGHT.txt | 12 | ||||
| -rw-r--r-- | scene/animation/SCsub | 3 | ||||
| -rw-r--r-- | scene/animation/easing_equations.h | 405 | ||||
| -rw-r--r-- | scene/animation/tween.cpp | 25 | ||||
| -rw-r--r-- | thirdparty/README.md | 4 | ||||
| -rw-r--r-- | thirdparty/misc/easing_equations.cpp | 323 |
6 files changed, 437 insertions, 335 deletions
diff --git a/COPYRIGHT.txt b/COPYRIGHT.txt index da60213038..e84302620e 100644 --- a/COPYRIGHT.txt +++ b/COPYRIGHT.txt @@ -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 diff --git a/scene/animation/SCsub b/scene/animation/SCsub index cc33a5af84..d0aa0bc8aa 100644 --- a/scene/animation/SCsub +++ b/scene/animation/SCsub @@ -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 diff --git a/scene/animation/easing_equations.h b/scene/animation/easing_equations.h new file mode 100644 index 0000000000..c38d083b7f --- /dev/null +++ b/scene/animation/easing_equations.h @@ -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 diff --git a/scene/animation/tween.cpp b/scene/animation/tween.cpp index 2847031375..c43b83747b 100644 --- a/scene/animation/tween.cpp +++ b/scene/animation/tween.cpp @@ -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()); diff --git a/thirdparty/README.md b/thirdparty/README.md index 990bd30320..2d24beec15 100644 --- a/thirdparty/README.md +++ b/thirdparty/README.md @@ -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) diff --git a/thirdparty/misc/easing_equations.cpp b/thirdparty/misc/easing_equations.cpp deleted file mode 100644 index d164e3d560..0000000000 --- a/thirdparty/misc/easing_equations.cpp +++ /dev/null @@ -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); -} |