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# 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
# Initialize Parity problem input and output matrices
PARITY_FANIN_M = 6
PARITY_SIZE_M = 2**PARITY_FANIN_M
inputs = [None] * PARITY_SIZE_M
outputs = [None] * PARITY_SIZE_M
for i in range(PARITY_SIZE_M):
inputs[i] = [None] * PARITY_FANIN_M
value = i
dividor = PARITY_SIZE_M
parity = 1
for j in range(PARITY_FANIN_M):
dividor /= 2
if value >= dividor:
inputs[i][j] = 1
parity = int(not parity)
value -= dividor
else:
inputs[i][j] = 0
outputs[i] = parity
pset = gp.PrimitiveSet("MAIN", PARITY_FANIN_M, "IN")
pset.addPrimitive(operator.and_, 2)
pset.addPrimitive(operator.or_, 2)
pset.addPrimitive(operator.xor, 2)
pset.addPrimitive(operator.not_, 1)
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_=3, max_=5)
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 evalParity(individual):
func = toolbox.compile(expr=individual)
return sum(func(*in_) == out for in_, out in zip(inputs, outputs)),
toolbox.register("evaluate", evalParity)
toolbox.register("select", tools.selTournament, tournsize=3)
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(21)
pop = toolbox.population(n=300)
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, 0.5, 0.2, 40, stats, halloffame=hof)
return pop, stats, hof
if __name__ == "__main__":
main()
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