math.hpp

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/*
  Wizard Engine
  Copyright (C) 2023-2024 Zana Domán
 
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  warranty. In no event will the authors be held liable for any damages
  arising from the use of this software.
 
  Permission is granted to anyone to use this software for any purpose,
  including commercial applications, and to alter it and redistribute it
  freely, subject to the following restrictions:
 
  1. The origin of this software must not be misrepresented; you must not
     claim that you wrote the original software. If you use this software
     in a product, an acknowledgment in the product documentation would be
     appreciated but is not required.
  2. Altered source versions must be plainly marked as such, and must not be
     misrepresented as being the original software.
  3. This notice may not be removed or altered from any source distribution.
*/
 
#ifndef WIZARD_ENGINE_MATH_HPP
#define WIZARD_ENGINE_MATH_HPP
 
#include <wizard_engine/export.hpp>
 
namespace wze {
class math final {
  public:
    math() = delete;
 
    [[nodiscard]] static constexpr float epsilon() {
        // NOLINTNEXTLINE(cppcoreguidelines-avoid-magic-numbers,readability-magic-numbers)
        return .01;
    }
 
    [[nodiscard]] static constexpr float pi() {
        // NOLINTNEXTLINE(cppcoreguidelines-avoid-magic-numbers,readability-magic-numbers)
        return 3.1415927;
    }
 
    [[nodiscard]] static constexpr float to_radians(float degrees) {
        // NOLINTNEXTLINE(cppcoreguidelines-avoid-magic-numbers,readability-magic-numbers)
        return degrees * pi() / 180;
    }
 
    [[nodiscard]] static constexpr float to_degrees(float radians) {
        // NOLINTNEXTLINE(cppcoreguidelines-avoid-magic-numbers,readability-magic-numbers)
        return radians * 180 / pi();
    }
 
    [[nodiscard]] static constexpr std::pair<float, float> normal(float x,
                                                                  float y) {
        return {y, -x};
    }
 
    [[nodiscard]] static float length(float x, float y);
 
    [[nodiscard]] static float angle(float x, float y);
 
    [[nodiscard]] static std::pair<float, float> normalize(float x, float y);
 
    [[nodiscard]] static float move_x(float length, float angle);
 
    [[nodiscard]] static float move_y(float length, float angle);
 
    [[nodiscard]] static std::array<float, 4>
    transformation_matrix(float angle, float scale);
 
    [[nodiscard]] static constexpr float
    transform_x(float x, float y,
                std::array<float, 4> const& transformation_matrix) {
        return (x * transformation_matrix.at(0)) +
               (y * transformation_matrix.at(1));
    }
 
    [[nodiscard]] static constexpr float
    transform_y(float x, float y,
                std::array<float, 4> const& transformation_matrix) {
        return (x * transformation_matrix.at(2)) +
               (y * transformation_matrix.at(3));
    }
 
    template <typename T>
    [[nodiscard]] static T random(T minimum = std::numeric_limits<T>::lowest(),
                                  T maximum = std::numeric_limits<T>::max()) {
        static_assert(!std::is_same_v<T, bool>);
        if constexpr (std::is_integral_v<T>) {
            return std::uniform_int_distribution<T>{minimum,
                                                    maximum}(_mt19937_64);
        } else if constexpr (std::is_floating_point_v<T>) {
            return std::uniform_real_distribution<T>{minimum,
                                                     maximum}(_mt19937_64);
        }
    }
 
    template <typename T>
    [[nodiscard]] static bool random(float probability = (float)true / 2) {
        static_assert(std::is_same_v<T, bool>);
        return std::bernoulli_distribution{(double)probability}(_mt19937_64);
    }
 
  private:
    static std::mt19937_64 _mt19937_64;
};
} /* namespace wze */
 
#endif /* WIZARD_ENGINE_MATH_HPP */