Module garoupa.algebra.matrix.m128bit

Classes

class M128bit (seed=None)
Expand source code 
class M128bit(Group):
    def __init__(self, seed=None):
        """
        1 b b b
        0 1 b b
        0 0 1 b
        0 0 0 1

        Usage:

        >>> G = M128bit(seed=0)
        >>> G.comm_degree
        >>> G, ~G
        (M128bit, [[1. 1. 0. 1. 0. 1. 0. 0. 1. 1. 1. 1. 1. 0. 0. 0. 0.]
         [0. 1. 0. 0. 0. 0. 1. 1. 0. 1. 0. 0. 0. 0. 0. 1. 1.]
         [0. 0. 1. 0. 0. 1. 1. 0. 1. 1. 1. 1. 1. 0. 1. 1. 1.]
         [0. 0. 0. 1. 0. 1. 1. 0. 1. 1. 0. 1. 1. 1. 1. 1. 0.]
         [0. 0. 0. 0. 1. 0. 1. 0. 1. 0. 0. 0. 1. 1. 0. 0. 0.]
         [0. 0. 0. 0. 0. 1. 1. 1. 0. 1. 0. 1. 0. 0. 1. 1. 0.]
         [0. 0. 0. 0. 0. 0. 1. 0. 1. 0. 1. 0. 0. 1. 0. 0. 0.]
         [0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 1. 0. 0. 0. 0. 1. 1.]
         [0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 1. 0. 0. 0. 0. 0. 1.]
         [0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 1. 1. 0. 0. 0. 0.]
         [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 1. 1. 1. 0. 0.]
         [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. 1. 1.]
         [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]
         [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]
         [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1.]
         [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1.]
         [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]])
        """
        identity = Mat128bit(0)
        self.cells = None
        sorted = lambda: (Mat128bit(i) for i in range(identity.order))
        super().__init__(identity, sorted, seed)

    def __iter__(self):
        while True:
            yield Mat128bit(self.samplei())

    def __repr__(self):
        return f"M128bit"

    @property
    def comm_degree(self):
        return None

    def replace(self, *args, **kwargs):
        dic = {"seed": self.seed}
        dic.update(kwargs)
        return self.__class__(**dic)

1 b b b 0 1 b b 0 0 1 b 0 0 0 1

Usage:

>>> G = M128bit(seed=0)
>>> G.comm_degree
>>> G, ~G
(M128bit, [[1. 1. 0. 1. 0. 1. 0. 0. 1. 1. 1. 1. 1. 0. 0. 0. 0.]
 [0. 1. 0. 0. 0. 0. 1. 1. 0. 1. 0. 0. 0. 0. 0. 1. 1.]
 [0. 0. 1. 0. 0. 1. 1. 0. 1. 1. 1. 1. 1. 0. 1. 1. 1.]
 [0. 0. 0. 1. 0. 1. 1. 0. 1. 1. 0. 1. 1. 1. 1. 1. 0.]
 [0. 0. 0. 0. 1. 0. 1. 0. 1. 0. 0. 0. 1. 1. 0. 0. 0.]
 [0. 0. 0. 0. 0. 1. 1. 1. 0. 1. 0. 1. 0. 0. 1. 1. 0.]
 [0. 0. 0. 0. 0. 0. 1. 0. 1. 0. 1. 0. 0. 1. 0. 0. 0.]
 [0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 1. 0. 0. 0. 0. 1. 1.]
 [0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 1. 0. 0. 0. 0. 0. 1.]
 [0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 1. 1. 0. 0. 0. 0.]
 [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 1. 1. 1. 0. 0.]
 [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. 1. 1.]
 [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0. 0.]
 [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 0. 0. 0.]
 [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1.]
 [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1.]
 [0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1.]])

Ancestors

Instance variables

prop comm_degree
Expand source code 
@property
def comm_degree(self):
    return None

Methods

def replace(self, *args, **kwargs)
Expand source code 
def replace(self, *args, **kwargs):
    dic = {"seed": self.seed}
    dic.update(kwargs)
    return self.__class__(**dic)

Inherited members