interpolation.hpp

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/*
 * Copyright (C) 2023  Christopher J. Howard
 *
 * This file is part of Antkeeper source code.
 *
 * Antkeeper source code is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * Antkeeper source code is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with Antkeeper source code.  If not, see <http://www.gnu.org/licenses/>.
 */
 
#ifndef ANTKEEPER_MATH_INTERPOLATION_HPP
#define ANTKEEPER_MATH_INTERPOLATION_HPP
 
#include <engine/math/angles.hpp>
#include <cmath>
 
namespace math {
 
template <typename T, typename S = float>
[[nodiscard]] constexpr T lerp(const T& x, const T& y, S a) noexcept
{
    return x + (y - x) * a;
}
 
template <typename T>
[[nodiscard]] constexpr T lerp_angle(T x, T y, T a)
{
    return wrap_radians(x + wrap_radians(y - x) * a);
}
 
template <typename T, typename S = float>
[[nodiscard]] T log_lerp(const T& x, const T& y, S a)
{
    //return std::exp(linear(std::log(x), std::log(y), a));
    return x * std::pow(y / x, a);
}
 
} // namespace math
 
#endif // ANTKEEPER_MATH_INTERPOLATION_HPP