hw01.py

from operator import add, sub


def a_plus_abs_b(a, b):
    """Return a+abs(b), but without calling abs.

    >>> a_plus_abs_b(2, 3)
    5
    >>> a_plus_abs_b(2, -3)
    5
    >>> # a check that you didn't change the return statement!
    >>> import inspect, re
    >>> re.findall(r'^\s*(return .*)', inspect.getsource(a_plus_abs_b), re.M)
    ['return f(a, b)']
    """
    if b < 0:
        f = sub
    else:
        f = add
    return f(a, b)


def two_of_three(x, y, z):
    """Return a*a + b*b, where a and b are the two smallest members of the
    positive numbers x, y, and z.

    >>> two_of_three(1, 2, 3)
    5
    >>> two_of_three(5, 3, 1)
    10
    >>> two_of_three(10, 2, 8)
    68
    >>> two_of_three(5, 5, 5)
    50
    >>> # check that your code consists of nothing but an expression (this docstring)
    >>> # a return statement
    >>> import inspect, ast
    >>> [type(x).__name__ for x in ast.parse(inspect.getsource(two_of_three)).body[0].body]
    ['Expr', 'Return']
    """
    return x * x + y * y + z * z - max(x,y,z) * max(x,y,z)


def largest_factor(n):
    """Return the largest factor of n that is smaller than n.

    >>> largest_factor(15) # factors are 1, 3, 5
    5
    >>> largest_factor(80) # factors are 1, 2, 4, 5, 8, 10, 16, 20, 40
    40
    >>> largest_factor(13) # factor is 1 since 13 is prime
    1
    """
    "*** YOUR CODE HERE ***"
    factor = n-1
    while factor>0:
        if n%factor == 0:
            return factor
        factor-=1



def if_function(condition, true_result, false_result):
    """Return true_result if condition is a true value, and
    false_result otherwise.

    >>> if_function(True, 2, 3)
    2
    >>> if_function(False, 2, 3)
    3
    >>> if_function(3==2, 'equal', 'not equal')
    'not equal'
    >>> if_function(3>2, 'bigger', 'smaller')
    'bigger'
    """
    if condition:
        return true_result
    else:
        return false_result


def with_if_statement():
    """
    >>> result = with_if_statement()
    61A
    >>> print(result)
    None
    """
    if cond():
        return true_func()
    else:
        return false_func()


def with_if_function():
    """
    >>> result = with_if_function()
    Welcome to
    61A
    >>> print(result)
    None
    """
    return if_function(cond(), true_func(), false_func())


def cond():
    "*** YOUR CODE HERE ***"
    return False


def true_func():
    "*** YOUR CODE HERE ***"
    return print('Welcome to')


def false_func():
    "*** YOUR CODE HERE ***"
    return print('61A')


def hailstone(n):
    """Print the hailstone sequence starting at n and return its
    length.

    >>> a = hailstone(10)
    10
    5
    16
    8
    4
    2
    1
    >>> a
    7
    """
    "*** YOUR CODE HERE ***"
    length=1
    print(n)
    while n>1:
        length += 1
        if n%2 ==0:
            n=n//2
        else:
            n= n* 3 + 1
        print(n)
    return length