Math.hpp

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#ifndef GOSU_MATH_HPP
#define GOSU_MATH_HPP

namespace Gosu
{
    const double pi = 3.1415926536;
    
    inline long trunc(double value)
    {
        return static_cast<long>(value);
    }
    
    inline long round(double value)
    {
        if (value >= 0)
            return static_cast<long>(value + 0.5);
        else
            return static_cast<long>(value - 0.5);
    }
    
    double random(double min, double max);
    
    inline double gosuToRadians(double angle)
    {
        return (angle - 90) * pi / 180;
    }
    inline double radiansToGosu(double angle)
    {
        return angle * 180 / pi + 90;
    }

    inline double gosuToRadianScale(double angle)
    {
        return angle * pi / 180;
    }
    inline double radiansScaleToGosu(double angle)
    {
        return angle * 180 / pi;
    }
    
    double offsetX(double angle, double radius);
    double offsetY(double angle, double radius);
    double angle(double fromX, double fromY, double toX, double toY,
        double def = 0);
    double angleDiff(double angle1, double angle2);
    double normalizeAngle(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;
    }
    
    // Backward compatibility with 0.7.x
    template<typename T>
    T boundBy(T value, T min, T max)
    {
        return clamp(value, min, max);
    }
    
    inline double distanceSqr(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;
    }
}

#endif

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