#include <iostream>
#include "R2Graph.h"

void inCircle(
    const R2Point& a,
    const R2Point& b,
    const R2Point& c,
    R2Point& center,
    double& radius
);

int main() {
    std::cout << "Enter 3 vertices of triangle:"
              << std::endl;
    R2Point a, b, c;
    std::cin >> a >> b >> c;
    R2Point center;
    double radius;
    inCircle(a, b, c, center, radius);
    std::cout << "Inscribed circle:" << std::endl;
    std::cout << "center = " << center 
              << ", radius = " << radius << std::endl;
    return 0;
}

void inCircle(
    const R2Point& a,
    const R2Point& b,
    const R2Point& c,
    R2Point& center,
    double& radius
) {
    R2Vector ab = b - a;
    ab.normalize();
    R2Vector ac = c - a;
    ac.normalize();
    R2Vector bisa = ab + ac;
    
    R2Vector ba = a - b;
    ba.normalize();
    R2Vector bc = c - b;
    bc.normalize();
    R2Vector bisb = ba + bc;
    
    intersectStraightLines(
        a, bisa,
        b, bisb,
        center
    );
    
    radius = center.distanceToLine(a, b - a);
}