# Test module to see if a point is within the unit circle
# Points are assumed to be in rectangle (-1, -1) and (+1, +1)
# (i.e., ***no*** error checking!)
#
# Matt Bishop, MHI 289I, Fall 2024
#


# for point x, y, if x^2 + y^2 <= 1, they are in the unit circle
# parameters: x, y: co-ordinates of point
# returns True if so, False if not
def inunitcircle(x, y):
    return x ** 2 + y ** 2 <= 1

# main routine to enable us to test gettoss()
def main():
    # get co-ordinates
    try:
        x = float(input("[Number only; < -1 or > 1 quits] x co-ordinate: "))
        y = float(input("[Number only; < -1 or > 1 quits] y co-ordinate: "))
    except:
        print("Bye!")
        return
    # generate that many in the obvious way
    while -1 <= x and x <= 1:
        # print each one out
        print("(%f,%f) is" % (x, y),end=' ')
        # announce result
        if inunitcircle(x, y):
            print("in", end=' ')
        else:
            print("not in", end=' ')
        print("the unit circle")
        # get co-ordinates
        try:
            x = float(input("[Number only; < -1 or > 1 quits] x co-ordinate: "))
            y = float(input("[Number only; < -1 or > 1 quits] y co-ordinate: "))
        except:
            print("Bye!")
            return

main()