# encoding: utf-8
# module cmath
# from /home/pyy2/.virtualenvs/pyy3.5/lib/python3.5/lib-dynload/cmath.cpython-35m-x86_64-linux-gnu.so
# by generator 1.145
"""
This module is always available. It provides access to mathematical
functions for complex numbers.
"""
# no imports

# Variables with simple values
e = 2.718281828459045

pi = 3.141592653589793

# functions

def acos(*args, **kwargs): # real signature unknown
    """ Return the arc cosine of z. """
    pass

def acosh(*args, **kwargs): # real signature unknown
    """ Return the inverse hyperbolic cosine of z. """
    pass

def asin(*args, **kwargs): # real signature unknown
    """ Return the arc sine of z. """
    pass

def asinh(*args, **kwargs): # real signature unknown
    """ Return the inverse hyperbolic sine of z. """
    pass

def atan(*args, **kwargs): # real signature unknown
    """ Return the arc tangent of z. """
    pass

def atanh(*args, **kwargs): # real signature unknown
    """ Return the inverse hyperbolic tangent of z. """
    pass

def cos(*args, **kwargs): # real signature unknown
    """ Return the cosine of z. """
    pass

def cosh(*args, **kwargs): # real signature unknown
    """ Return the hyperbolic cosine of z. """
    pass

def exp(*args, **kwargs): # real signature unknown
    """ Return the exponential value e**z. """
    pass

def isclose(*args, **kwargs): # real signature unknown
    """
    Determine whether two complex numbers are close in value.
    
      rel_tol
        maximum difference for being considered "close", relative to the
        magnitude of the input values
      abs_tol
        maximum difference for being considered "close", regardless of the
        magnitude of the input values
    
    Return True if a is close in value to b, and False otherwise.
    
    For the values to be considered close, the difference between them must be
    smaller than at least one of the tolerances.
    
    -inf, inf and NaN behave similarly to the IEEE 754 Standard. That is, NaN is
    not close to anything, even itself. inf and -inf are only close to themselves.
    """
    pass

def isfinite(*args, **kwargs): # real signature unknown
    """ Return True if both the real and imaginary parts of z are finite, else False. """
    pass

def isinf(*args, **kwargs): # real signature unknown
    """ Checks if the real or imaginary part of z is infinite. """
    pass

def isnan(*args, **kwargs): # real signature unknown
    """ Checks if the real or imaginary part of z not a number (NaN). """
    pass

def log(*args, **kwargs): # real signature unknown
    """
    The logarithm of z to the given base.
    
    If the base not specified, returns the natural logarithm (base e) of z.
    """
    pass

def log10(*args, **kwargs): # real signature unknown
    """ Return the base-10 logarithm of z. """
    pass

def phase(*args, **kwargs): # real signature unknown
    """ Return argument, also known as the phase angle, of a complex. """
    pass

def polar(*args, **kwargs): # real signature unknown
    """
    Convert a complex from rectangular coordinates to polar coordinates.
    
    r is the distance from 0 and phi the phase angle.
    """
    pass

def rect(*args, **kwargs): # real signature unknown
    """ Convert from polar coordinates to rectangular coordinates. """
    pass

def sin(*args, **kwargs): # real signature unknown
    """ Return the sine of z. """
    pass

def sinh(*args, **kwargs): # real signature unknown
    """ Return the hyperbolic sine of z. """
    pass

def sqrt(*args, **kwargs): # real signature unknown
    """ Return the square root of z. """
    pass

def tan(*args, **kwargs): # real signature unknown
    """ Return the tangent of z. """
    pass

def tanh(*args, **kwargs): # real signature unknown
    """ Return the hyperbolic tangent of z. """
    pass

# no classes
# variables with complex values

__loader__ = None # (!) real value is ''

__spec__ = None # (!) real value is ''


# encoding: utf-8
# module cmath
# from /home/pyy2/.virtualenvs/pyy3.5/lib/python3.5/lib-dynload/cmath.cpython-35m-x86_64-linux-gnu.so
# by generator 1.145
"""
This module is always available. It provides access to mathematical
functions for complex numbers.
"""
# no imports

# Variables with simple values
e = 2.718281828459045

pi = 3.141592653589793

# functions

def acos(*args, **kwargs): # real signature unknown
    """ Return the arc cosine of z. """
    pass

def acosh(*args, **kwargs): # real signature unknown
    """ Return the inverse hyperbolic cosine of z. """
    pass

def asin(*args, **kwargs): # real signature unknown
    """ Return the arc sine of z. """
    pass

def asinh(*args, **kwargs): # real signature unknown
    """ Return the inverse hyperbolic sine of z. """
    pass

def atan(*args, **kwargs): # real signature unknown
    """ Return the arc tangent of z. """
    pass

def atanh(*args, **kwargs): # real signature unknown
    """ Return the inverse hyperbolic tangent of z. """
    pass

def cos(*args, **kwargs): # real signature unknown
    """ Return the cosine of z. """
    pass

def cosh(*args, **kwargs): # real signature unknown
    """ Return the hyperbolic cosine of z. """
    pass

def exp(*args, **kwargs): # real signature unknown
    """ Return the exponential value e**z. """
    pass

def isclose(*args, **kwargs): # real signature unknown
    """
    Determine whether two complex numbers are close in value.
    
      rel_tol
        maximum difference for being considered "close", relative to the
        magnitude of the input values
      abs_tol
        maximum difference for being considered "close", regardless of the
        magnitude of the input values
    
    Return True if a is close in value to b, and False otherwise.
    
    For the values to be considered close, the difference between them must be
    smaller than at least one of the tolerances.
    
    -inf, inf and NaN behave similarly to the IEEE 754 Standard. That is, NaN is
    not close to anything, even itself. inf and -inf are only close to themselves.
    """
    pass

def isfinite(*args, **kwargs): # real signature unknown
    """ Return True if both the real and imaginary parts of z are finite, else False. """
    pass

def isinf(*args, **kwargs): # real signature unknown
    """ Checks if the real or imaginary part of z is infinite. """
    pass

def isnan(*args, **kwargs): # real signature unknown
    """ Checks if the real or imaginary part of z not a number (NaN). """
    pass

def log(*args, **kwargs): # real signature unknown
    """
    The logarithm of z to the given base.
    
    If the base not specified, returns the natural logarithm (base e) of z.
    """
    pass

def log10(*args, **kwargs): # real signature unknown
    """ Return the base-10 logarithm of z. """
    pass

def phase(*args, **kwargs): # real signature unknown
    """ Return argument, also known as the phase angle, of a complex. """
    pass

def polar(*args, **kwargs): # real signature unknown
    """
    Convert a complex from rectangular coordinates to polar coordinates.
    
    r is the distance from 0 and phi the phase angle.
    """
    pass

def rect(*args, **kwargs): # real signature unknown
    """ Convert from polar coordinates to rectangular coordinates. """
    pass

def sin(*args, **kwargs): # real signature unknown
    """ Return the sine of z. """
    pass

def sinh(*args, **kwargs): # real signature unknown
    """ Return the hyperbolic sine of z. """
    pass

def sqrt(*args, **kwargs): # real signature unknown
    """ Return the square root of z. """
    pass

def tan(*args, **kwargs): # real signature unknown
    """ Return the tangent of z. """
    pass

def tanh(*args, **kwargs): # real signature unknown
    """ Return the hyperbolic tangent of z. """
    pass

# no classes
# variables with complex values

__loader__ = None # (!) real value is ''

__spec__ = None # (!) real value is ''


# encoding: utf-8 # module cmath # from /home/pyy2/.virtualenvs/pyy3.5/lib/python3.5/lib-dynload/cmath.cpython-35m-x86_64-linux-gnu.so # by generator 1.145 This module is always available. It provides access to mathematical functions for complex numbers. # no imports # Variables with simple values # functions # real signature unknown Return the arc cosine of z. # real signature unknown Return the inverse hyperbolic cosine of z. # real signature unknown Return the arc sine of z. # real signature unknown Return the inverse hyperbolic sine of z. # real signature unknown Return the arc tangent of z. # real signature unknown Return the inverse hyperbolic tangent of z. # real signature unknown Return the cosine of z. # real signature unknown Return the hyperbolic cosine of z. # real signature unknown Return the exponential value e**z. # real signature unknown Determine whether two complex numbers are close in value.            rel_tol         maximum difference for being considered "close", relative to the         magnitude of the input values       abs_tol         maximum difference for being considered "close", regardless of the         magnitude of the input values          Return True if a is close in value to b, and False otherwise.          For the values to be considered close, the difference between them must be     smaller than at least one of the tolerances.          -inf, inf and NaN behave similarly to the IEEE 754 Standard. That is, NaN is     not close to anything, even itself. inf and -inf are only close to themselves. # real signature unknown Return True if both the real and imaginary parts of z are finite, else False. # real signature unknown Checks if the real or imaginary part of z is infinite. # real signature unknown Checks if the real or imaginary part of z not a number (NaN). # real signature unknown The logarithm of z to the given base.          If the base not specified, returns the natural logarithm (base e) of z. # real signature unknown Return the base-10 logarithm of z. # real signature unknown Return argument, also known as the phase angle, of a complex. # real signature unknown Convert a complex from rectangular coordinates to polar coordinates.          r is the distance from 0 and phi the phase angle. # real signature unknown Convert from polar coordinates to rectangular coordinates. # real signature unknown Return the sine of z. # real signature unknown Return the hyperbolic sine of z. # real signature unknown Return the square root of z. # real signature unknown Return the tangent of z. # real signature unknown Return the hyperbolic tangent of z. # no classes # variables with complex values # (!) real value is '' # (!) real value is ''