# mode: run

# tag: division

def int_by_float():

    """

    >>> int_by_float()

    0.5

    """

    return 1 / 2.0

def float_by_int():

    """

    >>> float_by_int()

    2.0

    """

    return 2.0 / 1

def float_by_float():

    """

    >>> float_by_float()

    1.5

    """

    return 3.0 / 2.0

def div_1_by(x):

    """

    >>> div_1_by(1.0)

    1.0

    >>> div_1_by(2.0)

    0.5

    >>> div_1_by(0.5)

    2.0

    >>> 1.0 / float('inf')

    0.0

    >>> div_1_by(float('inf'))

    0.0

    >>> div_1_by(float('-inf'))

    -0.0

    >>> div_1_by(float('nan'))

    nan

    """

    return 1.0 / x

def div_by_2(x):

    """

    >>> div_by_2(1.0)

    0.5

    >>> float('inf') / 2.0

    inf

    >>> div_by_2(float('inf'))

    inf

    >>> div_by_2(float('-inf'))

    -inf

    >>> float('nan') / 2.0

    nan

    >>> div_by_2(float('nan'))

    nan

    """

    return x / 2.0

def div_by_neg_2(x):

    """

    >>> div_by_neg_2(1.0)

    -0.5

    >>> div_by_neg_2(-1.0)

    0.5

    >>> (-2**14) / (-2.0)

    8192.0

    >>> div_by_neg_2(-2**14)

    8192.0

    >>> (-2**52) / (-2.0)

    2251799813685248.0

    >>> div_by_neg_2(-2**52)

    2251799813685248.0

    >>> (-2**53-1) / (-2.0)

    4503599627370496.0

    >>> div_by_neg_2(-2**53-1)

    4503599627370496.0

    >>> float('inf') / -2.0

    -inf

    >>> div_by_neg_2(float('inf'))

    -inf

    >>> div_by_neg_2(float('-inf'))

    inf

    >>> float('nan') / -2.0

    nan

    >>> div_by_neg_2(float('nan'))

    nan

    """

    return x / -2.0

def div_neg_2_by(x):

    """

    >>> div_neg_2_by(1.0)

    -2.0

    >>> div_neg_2_by(-1)

    2.0

    >>> div_neg_2_by(-2.0)

    1.0

    >>> div_neg_2_by(-2)

    1.0

    >>> -2.0 / float('inf')

    -0.0

    >>> div_neg_2_by(float('inf'))

    -0.0

    >>> div_neg_2_by(float('-inf'))

    0.0

    >>> float('nan') / -2.0

    nan

    >>> div_neg_2_by(float('nan'))

    nan

    """

    return (-2.0) / x

def div_by_nan(x):

    """

    >>> 1.0 / float('nan')

    nan

    >>> div_by_nan(1.0)

    nan

    >>> float('nan') / float('nan')

    nan

    >>> div_by_nan(float('nan'))

    nan

    >>> float('inf') / float('nan')

    nan

    >>> div_by_nan(float('inf'))

    nan

    """

    return x / float("nan")

def div_nan_by(x):

    """

    >>> float('nan') / 1.0

    nan

    >>> div_nan_by(1.0)

    nan

    >>> float('nan') / float('nan')

    nan

    >>> div_nan_by(float('nan'))

    nan

    """

    return float("nan") / x

def div_by_inf(x):

    """

    >>> 1 / float('inf')

    0.0

    >>> div_by_inf(1)

    0.0

    >>> 1.0 / float('inf')

    0.0

    >>> div_by_inf(1.0)

    0.0

    >>> div_by_inf(float('inf'))

    nan

    """

    return x / float("inf")

def div_inf_by(x):

    """

    >>> float('inf') / 1.0

    inf

    >>> div_inf_by(1.0)

    inf

    >>> float('inf') / float('nan')

    nan

    >>> div_inf_by(float('nan'))

    nan

    >>> float('inf') / float('-inf')

    nan

    >>> div_inf_by(float('-inf'))

    nan

    """

    return float("inf") / x

def div_neg_inf_by(x):

    """

    >>> float('-inf') / 1.0

    -inf

    >>> div_neg_inf_by(1.0)

    -inf

    >>> float('-inf') / -1.0

    inf

    >>> div_neg_inf_by(-1.0)

    inf

    """

    return float("-inf") / x