converting polar equation to rectangular form // omrii

/// obj_ball step event

angle = ((angle + (1/2)) % 180);

var arcHeight = 144;

//gotta do this weird hack since gm:s can't handle imaginary numbers.
if((angle >= 0) && (angle <= 45))
{
    radius = arcHeight*sqrt(dcos(2*angle));

    tarx = (view_wview[0]/2) + radius*dcos(angle);
    tary = (view_hview[0]/2) + radius*dsin(angle);

}
else if((angle > 45) && (angle < 135))
{
    radius = arcHeight*sqrt(dcos(2*(225 - (angle-45))));
    tarx = (view_wview[0]/2) + radius*dcos(angle+90);
    tary = (view_hview[0]/2) - radius*dsin(angle+90);   // if u wanna have the balls "bound" instead
                                                        // of corssing change the - to a + here
}
else if((angle >= 135) && (angle < 180))
{
    radius = arcHeight*sqrt(dcos(2*(angle)));
    tarx = (view_wview[0]/2) - radius*dcos(angle);
    tary = (view_hview[0]/2) - radius*dsin(angle);
}

x = tarx;
y = tary;