So I’m making an attempt to attract and fill a triangle on the display utilizing the barycentric methodology, however my barycentric implementation appears to be outputting exterior triangle coordinates, why?

#embrace <iostream>
#embrace <cmath>
utilizing namespace std;
double triarea(double a, double b, double c)
{
    double s = (a + b + c)/2.0;
    double space=sqrt(fabs(s*(s-a)*(s-b)*(s-c)));
    return space;
}

// compute the space between two 2nd factors
double dist(double x0, double y0, double x1, double y1)
{
    double a = x1 - x0;
    double b = y1 - y0;
 
    return sqrt(a*a + b*b);
}
double returnMax(double A, double B, double C)
{
    return (A > B ? A : B) > C ? (A > B ? A : B) : C;
}
double returnMin(double A, double B, double C)
{
    return (A > B ? B : A) > C ? C : (A > B ? B : A);
}
double barycentric(double x0, double y0, double x1, double y1, double x2, double y2, double px, double py)
{
    double a = dist(x0, y0, x1, y1);
    double b = dist(x1, y1, x2, y2);
    double c = dist(x2, y2, x0, y0);
    
    double ABC= triarea(a, b, c);
    
    double pa = dist(x0, y0, px, py);
    double pb = dist(px, py, x2, y2);
    double pc = dist(x2, y2, x0, y0);
    double PAB= triarea(pa, pb, pc);
     
    double paa = dist(x1, y1, px, py);
    double pbb = dist(px, py, x2, y2);
    double pcc = dist(x2, y2, x1, y1);
    double PBA= triarea(paa, pbb, pcc);
     
    double inorout = 1 - (PAB/(double)ABC) - (PBA/(double)ABC);
    
    return inorout;
}
void drawtriangle(double x0, double y0, double x1, double y1, double x2, double y2)
{
    double maxx = returnMax(x0, x1, x2);
    double minx = returnMin(x0, x1, x2);
    
    double maxy = returnMax(y0, y1, y2);
    double miny = returnMin(y0, y1, y2);
    
    for(double x = minx; x < maxx; x++)
    {
        for(double y = miny; y < maxy; y++)
        {
            if(barycentric(x0,y0, x1,y1, x2,y2, x,y) >= 0)
            {
                //draw pixel
                cout <<  "(" << x << "," << y << ")" << endl;
            }
        }
    }
    
}
int major()
{
   drawtriangle(-5,-5,10,30,20,5);
    return 0;
}