Math.hpp

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#pragma once

#include <cmath>

// Portability: Define M_PI, which MSVC's <cmath> does not do by default.
#if !defined(M_PI) && !defined(SWIG)
#define M_PI 3.14159265358979323846264338327950288
#endif

namespace Gosu
{
    double random(double min, double max);
    
    inline double gosu_to_radians(double angle)
    {
        return (angle - 90) * M_PI / 180;
    }
    inline double radians_to_gosu(double angle)
    {
        return angle * 180 / M_PI + 90;
    }

    inline double degrees_to_radians(double angle)
    {
        return angle * M_PI / 180;
    }
    inline double radians_to_degrees(double angle)
    {
        return angle * 180 / M_PI;
    }
    
    double offset_x(double angle, double radius);
    double offset_y(double angle, double radius);
    double angle(double from_x, double from_y, double to_x, double to_y, double def = 0);
    double angle_diff(double angle1, double angle2);
    double normalize_angle(double angle);
    
    template<typename T>
    T square(T value)
    {
        return value * value;
    }
    
    template<typename T>
    T clamp(T value, T min, T max)
    {
        if (value < min) return min;
        if (value > max) return max;
        return value;
    }
    
    int wrap(int value, int min, int max);
    float wrap(float value, float min, float max);
    double wrap(double value, double min, double max);
    
    inline double distance_sqr(double x1, double y1, double x2, double y2)
    {
        return square(x1 - x2) + square(y1 - y2);
    }
    
    double distance(double x1, double y1, double x2, double y2);
    
    template<typename T>
    T interpolate(T a, T b, double weight = 0.5)
    {
        return a * (1.0 - weight) + b * weight;
    }
}