#pragma once

#include <cmath>

const double infinity = std::numeric_limits<double>::infinity();
const double pi = 3.1415926535897932385;

inline double degrees_to_radians(double degrees)
{
    return degrees * pi / 180;
}

inline double random_double()
{
    // returns a random real in [0,1)
    return rand() / (RAND_MAX + 1.0);
}

inline double random_double(double min, double max)
{
    // returns a random real in [min,max)
    return min + (max-min)*random_double();
}

inline double clamp(double x, double min, double max)
{
    if (x < min) return min;
    if (x > max) return max;
    return x;
}