Module garoupa.algebra.matrix.m

Classes

class M (n, mod=2, seed=None)
Expand source code 
class M(Group):
    def __init__(self, n, mod=2, seed=None):
        """
        1 b b b
        0 1 b b
        0 0 1 b
        0 0 0 1

        >>> ~M(4, 5, seed=42)
        [[1 3 2 4]
         [0 1 1 3]
         [0 0 1 1]
         [0 0 0 1]]
        """
        identity = Mat(0, n, mod)
        self.cells = identity.cells
        sorted = lambda: (Mat(i, self.n) for i in range(identity.order))
        super().__init__(identity, sorted, seed)
        self.n, self.mod = n, mod

    def __iter__(self):
        while True:
            yield Mat(self.samplei(), self.n, self.mod)

    def __repr__(self):
        return f"M{self.n}%{self.mod}"

    @property
    def comm_degree(self):
        return ncclasses(self.n, self.mod) / self.order

    def replace(self, *args, **kwargs):
        dic = {"n": self.n, "mod": self.mod, "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

>>> ~M(4, 5, seed=42)
[[1 3 2 4]
 [0 1 1 3]
 [0 0 1 1]
 [0 0 0 1]]

Ancestors

Instance variables

prop comm_degree
Expand source code 
@property
def comm_degree(self):
    return ncclasses(self.n, self.mod) / self.order

Methods

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

Inherited members