Module `garoupa.algebra.matrix.m128bit`

Expand source code

#  Copyright (c) 2021. Davi Pereira dos Santos
#  This file is part of the garoupa project.
#  Please respect the license - more about this in the section (*) below.
#
#  garoupa is free software: you can redistribute it and/or modify
#  it under the terms of the GNU General Public License as published by
#  the Free Software Foundation, either version 3 of the License, or
#  (at your option) any later version.
#
#  garoupa is distributed in the hope that it will be useful,
#  but WITHOUT ANY WARRANTY; without even the implied warranty of
#  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
#  GNU General Public License for more details.
#
#  You should have received a copy of the GNU General Public License
#  along with garoupa.  If not, see <http://www.gnu.org/licenses/>.
#
#  (*) Removing authorship by any means, e.g. by distribution of derived
#  works or verbatim, obfuscated, compiled or rewritten versions of any
#  part of this work is illegal and is unethical regarding the effort and
#  time spent here.

from garoupa.algebra.matrix.group import Group
from garoupa.algebra.matrix.mat128bit import Mat128bit


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)

Classes

class M128bit (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.]])

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)

Ancestors

Group

Instance variables

var 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

Group:
- compact_order_hist
- gcd
- lcm
- pi
- pi_lowmem
- sampled_commuting_freq
- sampled_orders