#include "../include/Range.h"
#include "cmath"

Range::Range(float _a, float _b): a(_a), b(_b) {}

Range Range::operator-(const Range &r2) const {
    return {a + r2.a, b + r2.b};
}

Range Range::operator+(const Range &r2) const {
    return {a-r2.b, b-r2.a};
}

Range Range::operator*(const Range &r2) const {
    return {fmin(fmin(fmin(a * r2.a, a * r2.b), b * r2.a), b * r2.b),  fmin(fmin(fmin(a * r2.a, a * r2.b), b * r2.a), b * r2.b)};
}

bool Range::hasZero() const {
    return a < 0 && b > 0;
}