''' Purpose: continue introduction to functions

    Name:

    Email id:

    Who checked your code: 

    Whose code did you check: 
'''

def is_factor( x, y ) :
    ''' Parameters x and y are integers. The function returns whether y is a
        factor of x.
    '''

    # compute remainder of x divided by y
    rem = x % y

    # check it out
    if ( rem == 0 ) :   # check whether remainder is 0
        result = True   # if it is, return value is True
    else: 
        result = False  # if it is not, return value is False

    # return determination
    return result

def are_relative_primes( x, y ) :
    ''' Parameters x and y are integers. The function returns whether x and y
        are relatively prime; i.e., whether y is not a factor of x and
        vice-versa.
    '''
    # determine whether y is a factor of x
    b1 = is_factor( x , y )
    # determine whether x is a factor of y
    b2 = is_factor( y , x )
    # look at determinations
    if ( b1 == True ):
        result = False
    elif ( b2 == True ):
        result = False
    else:
        result = True
    return result


def is_prime( x ) :
    ''' Parameter x is am integer. The function returns whether x is prime;
        i.e., its only factors are 1 and itself.
    '''
    result = True
    for i in range( 2 , x ):
        b = is_factor( x , i )
        if ( b == True ):
            result = False
            return result
    return result

if __name__ == "__main__":

    import primal

    a1, b1 = 6, 2
    a2, b2 = 7, 3
    a3, b3 = 4, 5

    f1 = primal.is_factor( a1, b1 )
    f2 = primal.is_factor( a2, b2 )
    f3 = primal.is_factor( a3, b3 )

    print( 'is_factor(', a1, ',' , b1, ') = ', f1 )
    print( 'is_factor(', a2, ',' , b2, ') = ', f2 )
    print( 'is_factor(', a3, ',' , b3, ') = ', f3 )