#pragma once
#include "real.hpp"
#include <limits>
#include <cmath>

enum PtBoundaryRelation { Inside = -1, OnBoundary, Outside = 1 };

const real PI = 3.141592653589793238462643383279502884Q;
const real PI2 = 2 * PI;
const real EPS = std::numeric_limits<real>::epsilon() * 1e2;
const real EPS_END_PARAM = std::numeric_limits<real>::epsilon() * 1e3;
const real EPS_NEWTON_ITERATION = std::numeric_limits<real>::epsilon() * 1e6;
const real EPS_AABB_EXTENSION = std::numeric_limits<real>::epsilon() * 1e6;

const real HALF = 0.5;
const real ONE_FOURTH = 0.25;
const real ONE_EIGHT = 0.125;

inline bool isEqual(real a, real b) {
    return fabs(a - b) < EPS;
}