"""Code pulled from future python versions, here for compatibility"""

def total_ordering(cls):
    """Class decorator that fills in missing ordering methods"""
    convert = {
        '__lt__': [('__gt__', lambda self, other: other < self),
                   ('__le__', lambda self, other: not other < self),
                   ('__ge__', lambda self, other: not self < other)],
        '__le__': [('__ge__', lambda self, other: other <= self),
                   ('__lt__', lambda self, other: not other <= self),
                   ('__gt__', lambda self, other: not self <= other)],
        '__gt__': [('__lt__', lambda self, other: other > self),
                   ('__ge__', lambda self, other: not other > self),
                   ('__le__', lambda self, other: not self > other)],
        '__ge__': [('__le__', lambda self, other: other >= self),
                   ('__gt__', lambda self, other: not other >= self),
                   ('__lt__', lambda self, other: not self >= other)]
    }
    roots = set(dir(cls)) & set(convert)
    if not roots:
        raise ValueError('must define at least one ordering operation: < > <= >=')
    root = max(roots)       # prefer __lt__ to __le__ to __gt__ to __ge__
    for opname, opfunc in convert[root]:
        if opname not in roots:
            opfunc.__name__ = opname
            opfunc.__doc__ = getattr(int, opname).__doc__
            setattr(cls, opname, opfunc)
    return cls