#include <cmath>

#include "GeometryUtils.h"

const double EPSILON = std::numeric_limits<double>::epsilon();

bool double_eq(double first, double second) {
    if (std::abs(first - second) <= EPSILON) {
        return true;
    } else {
        return false;
    }
}

double calculate_distance(Coordinate& firstPoint, Coordinate& secondPoint) {
    return std::sqrt(
        std::pow(secondPoint.x - firstPoint.x, 2)
        + std::pow(secondPoint.y - firstPoint.y, 2)
    );
}

bool lengths_make_triangle(double sideOne, double sideTwo, double sideThree) {
    // Not a triangle if one of the side lengths is 0
    if (sideOne <= EPSILON || sideTwo <= EPSILON || sideThree <= EPSILON) {
        return false;
    }

    // Not a triangle if the sum of any two side lengths >= the third length
    if (sideOne + sideTwo <= sideThree || sideTwo + sideThree <= sideOne || sideThree + sideOne <= sideTwo) {
        return false;
    }

    return true;
}