💿🐜 Antkeeper source code
https://antkeeper.com
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284 lines
6.5 KiB
284 lines
6.5 KiB
/*
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* Copyright (C) 2020 Christopher J. Howard
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*
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* This file is part of Antkeeper source code.
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*
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* Antkeeper source code is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* Antkeeper source code is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with Antkeeper source code. If not, see <http://www.gnu.org/licenses/>.
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*/
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/*
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* Easing Functions (Equations)
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*
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* Copyright (C) 2001 Robert Penner
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions are met:
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*
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* * Redistributions of source code must retain the above copyright notice, this
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* list of conditions and the following disclaimer.
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*
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* * Redistributions in binary form must reproduce the above copyright notice,
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* this list of conditions and the following disclaimer in the documentation
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* and/or other materials provided with the distribution.
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*
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* * Neither the name of the author nor the names of contributors may be used to
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* endorse or promote products derived from this software without specific
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* prior written permission.
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#ifndef ANTKEEPER_EASINGS_HPP
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#define ANTKEEPER_EASINGS_HPP
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#include <vmq/vmq.hpp>
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#include <cmath>
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template <typename T>
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inline T ease_linear(const T& x, const T& y, float a)
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{
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return (y - x) * a + x;
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}
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template <typename T>
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T ease_in_sine(const T& x, const T& y, float a)
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{
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return -(y - x) * std::cos(a * vmq::half_pi<float>) + (y - x) + x;
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}
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template <typename T>
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T ease_out_sine(const T& x, const T& y, float a)
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{
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return (y - x) * std::sin(a * vmq::half_pi<float>) + x;
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}
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template <typename T>
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T ease_in_out_sine(const T& x, const T& y, float a)
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{
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return -(y - x) * 0.5f * (std::cos(vmq::pi<float> * a) - 1.0f) + x;
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}
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template <typename T>
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T ease_in_quad(const T& x, const T& y, float a)
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{
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return (y - x) * a * a + x;
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}
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template <typename T>
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T ease_out_quad(const T& x, const T& y, float a)
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{
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return -(y - x) * a * (a - 2.0f) + x;
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}
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template <typename T>
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T ease_in_out_quad(const T& x, const T& y, float a)
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{
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a *= 2.0f;
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if (a < 1.0f)
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{
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return (y - x) * 0.5f * a * a + x;
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}
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a -= 1.0f;
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return -(y - x) * 0.5f * (a * (a - 2.0f) - 1.0f) + x;
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}
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template <typename T>
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T ease_in_cubic(const T& x, const T& y, float a)
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{
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return (y - x) * a * a * a + x;
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}
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template <typename T>
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T ease_out_cubic(const T& x, const T& y, float a)
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{
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a -= 1.0f;
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return (y - x) * (a * a * a + 1.0f) + x;
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}
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template <typename T>
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T ease_in_out_cubic(const T& x, const T& y, float a)
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{
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a *= 2.0f;
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if (a < 1.0f)
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{
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return (y - x) * 0.5f * a * a * a + x;
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}
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a -= 2.0f;
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return (y - x) * 0.5f * (a * a * a + 2.0f) + x;
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}
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template <typename T>
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T ease_in_quart(const T& x, const T& y, float a)
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{
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return (y - x) * a * a * a * a + x;
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}
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template <typename T>
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T ease_out_quart(const T& x, const T& y, float a)
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{
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a -= 1.0f;
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return -(y - x) * (a * a * a * a - 1.0f) + x;
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}
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template <typename T>
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T ease_in_out_quart(const T& x, const T& y, float a)
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{
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a *= 2.0f;
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if (a < 1.0f)
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{
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return (y - x) * 0.5f * a * a * a * a + x;
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}
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a -= 2.0f;
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return -(y - x) * 0.5f * (a * a * a * a - 2.0f) + x;
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}
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template <typename T>
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T ease_in_quint(const T& x, const T& y, float a)
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{
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return (y - x) * a * a * a * a * a + x;
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}
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template <typename T>
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T ease_out_quint(const T& x, const T& y, float a)
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{
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a -= 1.0f;
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return (y - x) * (a * a * a * a * a + 1.0f) + x;
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}
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template <typename T>
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T ease_in_out_quint(const T& x, const T& y, float a)
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{
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a *= 2.0f;
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if (a < 1.0f)
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{
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return (y - x) * 0.5f * a * a * a * a * a + x;
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}
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a -= 2.0f;
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return (y - x) * 0.5f * (a * a * a * a * a + 2.0f) + x;
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}
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template <typename T>
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T ease_in_expo(const T& x, const T& y, float a)
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{
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if (a == 0.0f)
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{
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return x;
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}
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return (y - x) * std::pow(2.0f, 10.0f * (a - 1.0f)) + x;
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}
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template <typename T>
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T ease_out_expo(const T& x, const T& y, float a)
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{
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if (a == 1.0f)
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{
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return y;
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}
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return (y - x) * (-std::pow(2.0f, -10.0f * a) + 1.0f) + x;
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}
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template <typename T>
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T ease_in_out_expo(const T& x, const T& y, float a)
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{
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if (a == 0.0f)
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{
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return x;
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}
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else if (a == 1.0f)
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{
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return y;
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}
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a *= 2.0f;
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if (a < 1.0f)
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{
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return (y - x) * 0.5f * std::pow(2.0f, 10.0f * (a - 1.0f)) + x;
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}
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a -= 1.0f;
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return (y - x) * 0.5f * (-std::pow(2.0f, -10.0f * a) + 2.0f) + x;
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}
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template <typename T>
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T ease_in_circ(const T& x, const T& y, float a)
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{
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return -(y - x) * (std::sqrt(1.0f - a * a) - 1.0f) + x;
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}
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template <typename T>
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T ease_out_circ(const T& x, const T& y, float a)
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{
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a -= 1.0f;
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return (y - x) * std::sqrt(1.0f - a * a) + x;
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}
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template <typename T>
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T ease_in_out_circ(const T& x, const T& y, float a)
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{
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a *= 2.0f;
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if (a < 1.0f)
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{
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return -(y - x) * 0.5f * (std::sqrt(1.0f - a * a) - 1.0f) + x;
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}
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a -= 2.0f;
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return (y - x) * 0.5f * (std::sqrt(1.0f - a * a) + 1.0f) + x;
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}
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template <typename T>
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T ease_in_back(const T& x, const T& y, float a)
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{
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const float s = 1.70158f;
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return (y - x) * a * a * ((s + 1.0f) * a - s) + x;
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}
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template <typename T>
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T ease_out_back(const T& x, const T& y, float a)
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{
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const float s = 1.70158f;
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a -= 1.0f;
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return (y - x) * (a * a * ((s + 1.0f) * a + s) + 1.0f) + x;
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}
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template <typename T>
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T ease_in_out_back(const T& x, const T& y, float a)
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{
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const float s = 1.70158f * 1.525f;
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a *= 2.0f;
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if (a < 1.0f)
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{
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return (y - x) * 0.5f * (a * a * ((s + 1.0f) * a - s)) + x;
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}
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a -= 2.0f;
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return (y - x) * 0.5f * (a * a * ((s + 1.0f) * a + s) + 2.0f) + x;
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}
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#endif // ANTKEEPER_EASINGS_HPP
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