multiplexer.py

#    This file is part of EAP.
#
#    EAP is free software: you can redistribute it and/or modify
#    it under the terms of the GNU Lesser General Public License as
#    published by the Free Software Foundation, either version 3 of
#    the License, or (at your option) any later version.
#
#    EAP 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 Lesser General Public License for more details.
#
#    You should have received a copy of the GNU Lesser General Public
#    License along with EAP. If not, see <http://www.gnu.org/licenses/>.

import random
import operator

import numpy

from deap import algorithms
from deap import base
from deap import creator
from deap import tools
from deap import gp

def if_then_else(condition, out1, out2):
    return out1 if condition else out2

# Initialize Multiplexer problem input and output vectors

MUX_SELECT_LINES = 3
MUX_IN_LINES = 2 ** MUX_SELECT_LINES
MUX_TOTAL_LINES = MUX_SELECT_LINES + MUX_IN_LINES

# input : [A0 A1 A2 D0 D1 D2 D3 D4 D5 D6 D7] for a 8-3 mux
inputs = [[0] * MUX_TOTAL_LINES for i in range(2 ** MUX_TOTAL_LINES)]
outputs = [None] * (2 ** MUX_TOTAL_LINES)

for i in range(2 ** MUX_TOTAL_LINES):
    value = i
    divisor = 2 ** MUX_TOTAL_LINES
    # Fill the input bits
    for j in range(MUX_TOTAL_LINES):
        divisor /= 2
        if value >= divisor:
            inputs[i][j] = 1
            value -= divisor

    # Determine the corresponding output
    indexOutput = MUX_SELECT_LINES
    for j, k in enumerate(inputs[i][:MUX_SELECT_LINES]):
        indexOutput += k * 2**j
    outputs[i] = inputs[i][indexOutput]

pset = gp.PrimitiveSet("MAIN", MUX_TOTAL_LINES, "IN")
pset.addPrimitive(operator.and_, 2)
pset.addPrimitive(operator.or_, 2)
pset.addPrimitive(operator.not_, 1)
pset.addPrimitive(if_then_else, 3)
pset.addTerminal(1)
pset.addTerminal(0)

creator.create("FitnessMax", base.Fitness, weights=(1.0,))
creator.create("Individual", gp.PrimitiveTree, fitness=creator.FitnessMax)

toolbox = base.Toolbox()
toolbox.register("expr", gp.genFull, pset=pset, min_=2, max_=4)
toolbox.register("individual", tools.initIterate, creator.Individual, toolbox.expr)
toolbox.register("population", tools.initRepeat, list, toolbox.individual)
toolbox.register("compile", gp.compile, pset=pset)

def evalMultiplexer(individual):
    func = toolbox.compile(expr=individual)
    return sum(func(*in_) == out for in_, out in zip(inputs, outputs)),

toolbox.register("evaluate", evalMultiplexer)
toolbox.register("select", tools.selTournament, tournsize=7)
toolbox.register("mate", gp.cxOnePoint)
toolbox.register("expr_mut", gp.genGrow, min_=0, max_=2)
toolbox.register("mutate", gp.mutUniform, expr=toolbox.expr_mut, pset=pset)

def main():
#    random.seed(10)
    pop = toolbox.population(n=40)
    hof = tools.HallOfFame(1)
    stats = tools.Statistics(lambda ind: ind.fitness.values)
    stats.register("avg", numpy.mean)
    stats.register("std", numpy.std)
    stats.register("min", numpy.min)
    stats.register("max", numpy.max)

    algorithms.eaSimple(pop, toolbox, 0.8, 0.1, 40, stats, halloffame=hof)

    return pop, stats, hof

if __name__ == "__main__":
    main()