💿🐜 Antkeeper source code
https://antkeeper.com
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92 lines
2.4 KiB
92 lines
2.4 KiB
/*
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* Copyright (C) 2021 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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#ifndef ANTKEEPER_MATH_INTERPOLATION_HPP
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#define ANTKEEPER_MATH_INTERPOLATION_HPP
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#include "math/constants.hpp"
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#include "math/matrix-type.hpp"
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#include "math/quaternion-type.hpp"
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#include "math/transform-type.hpp"
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#include <cmath>
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#include <type_traits>
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namespace math {
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/**
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* Linearly interpolates between @p x and @p y.
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*
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* Requires the following operators to be defined:
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*
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* T operator+(const T&, const T&);
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* T operator-(const T&, const T&);
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* T operator*(const T&, S);
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*
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* @tparam T Value type.
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* @tparam S Scalar type.
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*/
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template <typename T, typename S = float>
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T lerp(const T& x, const T& y, S a);
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/**
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* Linearly interpolates between two angles, @p x and @p y.
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*
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* @tparam T Value type.
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* @param x Start angle, in radians.
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* @param y End angle, in radians.
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* @param a Interpolation ratio.
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* @return Interpolated angle, in radians.
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*/
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template <typename T>
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T lerp_angle(T x, T y, T a);
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/**
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* Logarithmically interpolates between @p x and @p y.
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*
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* @warning Undefined behavior when @p x is zero.
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*
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* @tparam T Value type.
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* @tparam S Scalar type.
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*/
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template <typename T, typename S = float>
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T log_lerp(const T& x, const T& y, S a);
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template <typename T, typename S>
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inline T lerp(const T& x, const T& y, S a)
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{
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return x + (y - x) * a;
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}
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template <typename T>
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T lerp_angle(T x, T y, T a)
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{
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T shortest_angle = std::remainder((y - x), two_pi<T>);
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return std::remainder(x + shortest_angle * a, two_pi<T>);
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}
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template <typename T, typename S>
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inline T log_lerp(const T& x, const T& y, S a)
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{
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//return std::exp(linear(std::log(x), std::log(y), a));
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return x * std::pow(y / x, a);
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}
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} // namespace math
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#endif // ANTKEEPER_MATH_INTERPOLATION_HPP
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