def main():
solver = DifferentialEvolutionSolver(ND, NP)
solver.SetRandomInitialPoints()
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.SetGenerationMonitor(VerboseMonitor(10))
#strategy = Best1Exp
#strategy = Best1Bin
#strategy = Best2Bin
strategy = Best2Exp
solver.Solve(ChebyshevCost, termination=VTR(0.0001), strategy=strategy, \
CrossProbability=1.0, ScalingFactor=0.6)
solution = solver.Solution()
print("\nsolved: ")
print(poly1d(solution))
print("\ntarget: ")
print(poly1d(Chebyshev16))
#print("actual coefficients vs computed:")
#for actual,computed in zip(Chebyshev16, solution):
# print("%f %f" % (actual, computed))
plot_solution(solution, Chebyshev16)
def main(start,end,filename):
#Import Experimental Data
[Ref,p_su_exp,rp_exp,N_exp,Wdot_exp,eta_is_exp] = Import(start,end,filename,sheet_num = 0)
data = np.array([rp_exp,N_exp,p_su_exp])
#Set solver
ND = 13
NP = ND*10
MAX_GENERATIONS = 3000
minrange = [-10,-100,-10,-10,-10,-10,-10,0,0,-100,-10,0,0]
maxrange = [10,1,1,10,1,1,10,10,10,5,10,0.8,5000]
solver = DifferentialEvolutionSolver(ND, NP)
solver.SetRandomInitialPoints(min = [0.1]*ND, max = [5]*ND)
solver.SetStrictRanges(min=minrange, max=maxrange)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
pf = CalibrationPacejkaEq(data, eta_is_exp, nnum = 13, nden = 1)
solver.Solve(pf.function, termination=VTR(1e-8), strategy=Rand1Exp,\
CrossProbability=0.9, ScalingFactor=0.9)
coeff_solution = solver.Solution()
print 'DE coefficients:', coeff_solution
eta_is_exp_fit = pf.eval(coeff_solution)
parity_plot(eta_is_exp_fit,eta_is_exp,Ref)
return pf.eval(coeff_solution)
def test04(terminate, func=lambda x: x[0], info=False, debug=False):
from mystic.solvers import DifferentialEvolutionSolver as DE
solver = DE(1, 5)
solver.SetRandomInitialPoints()
solver.SetEvaluationLimits(8)
solver.Solve(func, VTR())
if debug: verbosity(solver)
return terminate(solver, info)
def main():
solver = DifferentialEvolutionSolver(ND, NP)
solver.SetRandomInitialPoints(min = [-400.0]*ND, max = [400.0]*ND)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.Solve(Griewangk_cost, termination=VTR(0.00001), strategy=Rand1Exp,\
CrossProbability=0.3, ScalingFactor=1.0)
solution = solver.Solution()
print solution
def main():
solver = DifferentialEvolutionSolver(ND, NP)
solver.SetRandomInitialPoints(min=[-1.28] * ND, max=[1.28] * ND)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.Solve(DeJong4, termination=VTR(15), strategy=Rand1Exp, \
CrossProbability=0.3, ScalingFactor=1.0)
solution = solver.Solution()
print solution
def main():
solver = DifferentialEvolutionSolver(ND, NP)
solver.SetRandomInitialPoints(min=[-2.0] * ND, max=[2.0] * ND)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
strategy = Best1Exp
#strategy = Best1Bin
solver.Solve(fOsc3D,termination=ChangeOverGeneration(1e-5, 30), \
strategy=strategy,CrossProbability=1.0,ScalingFactor=0.9)
return solver.Solution()
def main():
solver = DifferentialEvolutionSolver(ND, NP)
solver.SetRandomInitialPoints(min=[-5.12] * ND, max=[5.12] * ND)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.Solve(DeJong3, termination=VTR(0.00001), \
CrossProbability=0.3, ScalingFactor=1.0)
solution = solver.Solution()
print(solution)
def main():
solver = DifferentialEvolutionSolver(ND, NP)
solver.SetRandomInitialPoints(min = [-65.536]*ND, max = [65.536]*ND)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.Solve(DeJong5, termination=VTR(0.0000001), strategy=Rand1Exp, \
CrossProbability=0.5, ScalingFactor=0.9)
solution = solver.Solution()
print solution
def main(self, *args, **kwds):
solver = DifferentialEvolutionSolver(self.mod.ND, self.mod.NP)
costfunction = self.mod.cost
termination = self.mod.termination
MAX_GENERATIONS = self.mod.MAX_GENERATIONS
solver.SetRandomInitialPoints(min=self.mod.min, max=self.mod.max)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.Solve(costfunction, termination, strategy=self.strategy,\
CrossProbability=self.probability, \
ScalingFactor=self.scale)
self.solution = solver.Solution()
return
def de_solve(CF):
solver = DifferentialEvolutionSolver(ND, NP)
solver.enable_signal_handler()
stepmon = Monitor()
solver.SetRandomInitialPoints(min=minrange, max=maxrange)
solver.SetStrictRanges(min=minrange, max=maxrange)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.SetGenerationMonitor(stepmon)
termination = ChangeOverGeneration(generations=generations)
solver.Solve(CF, termination=termination, strategy=Rand1Exp, \
sigint_callback = plot_sol(solver))
solution = solver.Solution()
return solution, stepmon
def main():
solver = DifferentialEvolutionSolver(ND, NP)
solver.SetRandomInitialPoints(min=[0] * ND, max=[2] * ND)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.Solve(rosen, termination = VTR(0.0001), \
CrossProbability=0.5, ScalingFactor=0.6, disp=1)
solution = solver.bestSolution
#print("Current function value: %s" % solver.bestEnergy)
#print("Iterations: %s" % solver.generations)
#print("Function evaluations: %s" % solver.evaluations)
print(solution)
def main():
solver = DifferentialEvolutionSolver(ND, NP)
solver.SetRandomInitialPoints(min=[-100.0] * ND, max=[100.0] * ND)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.SetGenerationMonitor(VerboseMonitor(30))
solver.enable_signal_handler()
strategy = Best1Exp
#strategy = Best1Bin
solver.Solve(ChebyshevCost, termination=VTR(0.01), strategy=strategy, \
CrossProbability=1.0, ScalingFactor=0.9, \
sigint_callback=plot_solution)
solution = solver.Solution()
return solution
def de_solve(CF):
solver = DifferentialEvolutionSolver(ND, NP)
solver.enable_signal_handler()
stepmon = VerboseMonitor(10,50)
minrange = [-100., -100., -100.];
maxrange = [100., 100., 100.];
solver.SetRandomInitialPoints(min = minrange, max = maxrange)
solver.SetStrictRanges(min = minrange, max = maxrange)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.SetGenerationMonitor(stepmon)
solver.Solve(CF, termination=ChangeOverGeneration(generations=300),\
CrossProbability=0.5, ScalingFactor=0.5,\
sigint_callback=plot_sol)
solution = solver.Solution()
return solution, stepmon
def de_solve():
solver = DifferentialEvolutionSolver(ND, NP)
stepmon = Monitor()
minrange = [-1000., -1000., -100., -10.];
maxrange = [1000., 1000., 100., 10.];
solver.SetRandomInitialPoints(min = minrange, max = maxrange)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.SetGenerationMonitor(stepmon)
#termination = VTR(0.0000029)
termination = ChangeOverGeneration(generations=100)
solver.Solve(cost_function, termination=termination, \
CrossProbability=0.5, ScalingFactor=0.5)
solution = solver.Solution()
return solution, stepmon
def test_griewangk():
"""Test Griewangk's function, which has many local minima.
Testing Griewangk:
Expected: x=[0.]*10 and f=0
Using DifferentialEvolutionSolver:
Solution: [ 8.87516194e-09 7.26058147e-09 1.02076001e-08 1.54219038e-08
-1.54328461e-08 2.34589663e-08 2.02809360e-08 -1.36385836e-08
1.38670373e-08 1.59668900e-08]
f value: 0.0
Iterations: 4120
Function evaluations: 205669
Time elapsed: 34.4936850071 seconds
Using DifferentialEvolutionSolver2:
Solution: [ -2.02709316e-09 3.22017968e-09 1.55275472e-08 5.26739541e-09
-2.18490470e-08 3.73725584e-09 -1.02315312e-09 1.24680355e-08
-9.47898116e-09 2.22243557e-08]
f value: 0.0
Iterations: 4011
Function evaluations: 200215
Time elapsed: 32.8412370682 seconds
"""
print "Testing Griewangk:"
print "Expected: x=[0.]*10 and f=0"
from mystic.models import griewangk as costfunc
ndim = 10
lb = [-400.]*ndim
ub = [400.]*ndim
maxiter = 10000
seed = 123 # Re-seed for each solver to have them all start at same x0
# DifferentialEvolutionSolver
print "\nUsing DifferentialEvolutionSolver:"
npop = 50
random_seed(seed)
from mystic.solvers import DifferentialEvolutionSolver
from mystic.termination import ChangeOverGeneration as COG
from mystic.termination import CandidateRelativeTolerance as CRT
from mystic.termination import VTR
from mystic.strategy import Rand1Bin, Best1Bin, Rand1Exp
esow = Monitor()
ssow = Monitor()
solver = DifferentialEvolutionSolver(ndim, npop)
solver.SetRandomInitialPoints(lb, ub)
solver.SetStrictRanges(lb, ub)
solver.SetEvaluationLimits(generations=maxiter)
solver.SetEvaluationMonitor(esow)
solver.SetGenerationMonitor(ssow)
solver.enable_signal_handler()
#term = COG(1e-10)
#term = CRT()
term = VTR(0.)
time1 = time.time() # Is this an ok way of timing?
solver.Solve(costfunc, term, strategy=Rand1Exp, \
CrossProbability=0.3, ScalingFactor=1.0)
sol = solver.Solution()
time_elapsed = time.time() - time1
fx = solver.bestEnergy
print "Solution: ", sol
print "f value: ", fx
print "Iterations: ", solver.generations
print "Function evaluations: ", len(esow.x)
print "Time elapsed: ", time_elapsed, " seconds"
assert almostEqual(fx, 0.0, tol=3e-3)
# DifferentialEvolutionSolver2
print "\nUsing DifferentialEvolutionSolver2:"
npop = 50
random_seed(seed)
from mystic.solvers import DifferentialEvolutionSolver2
from mystic.termination import ChangeOverGeneration as COG
from mystic.termination import CandidateRelativeTolerance as CRT
from mystic.termination import VTR
from mystic.strategy import Rand1Bin, Best1Bin, Rand1Exp
esow = Monitor()
ssow = Monitor()
solver = DifferentialEvolutionSolver2(ndim, npop)
solver.SetRandomInitialPoints(lb, ub)
solver.SetStrictRanges(lb, ub)
solver.SetEvaluationLimits(generations=maxiter)
solver.SetEvaluationMonitor(esow)
solver.SetGenerationMonitor(ssow)
#term = COG(1e-10)
#term = CRT()
term = VTR(0.)
time1 = time.time() # Is this an ok way of timing?
solver.Solve(costfunc, term, strategy=Rand1Exp, \
CrossProbability=0.3, ScalingFactor=1.0)
sol = solver.Solution()
time_elapsed = time.time() - time1
fx = solver.bestEnergy
print "Solution: ", sol
print "f value: ", fx
print "Iterations: ", solver.generations
print "Function evaluations: ", len(esow.x)
print "Time elapsed: ", time_elapsed, " seconds"
assert almostEqual(fx, 0.0, tol=3e-3)
def test_rosenbrock():
"""Test the 2-dimensional Rosenbrock function.
Testing 2-D Rosenbrock:
Expected: x=[1., 1.] and f=0
Using DifferentialEvolutionSolver:
Solution: [ 1.00000037 1.0000007 ]
f value: 2.29478683682e-13
Iterations: 99
Function evaluations: 3996
Time elapsed: 0.582273006439 seconds
Using DifferentialEvolutionSolver2:
Solution: [ 0.99999999 0.99999999]
f value: 3.84824937598e-15
Iterations: 100
Function evaluations: 4040
Time elapsed: 0.577210903168 seconds
Using NelderMeadSimplexSolver:
Solution: [ 0.99999921 1.00000171]
f value: 1.08732211477e-09
Iterations: 70
Function evaluations: 130
Time elapsed: 0.0190329551697 seconds
Using PowellDirectionalSolver:
Solution: [ 1. 1.]
f value: 0.0
Iterations: 28
Function evaluations: 859
Time elapsed: 0.113857030869 seconds
"""
print "Testing 2-D Rosenbrock:"
print "Expected: x=[1., 1.] and f=0"
from mystic.models import rosen as costfunc
ndim = 2
lb = [-5.]*ndim
ub = [5.]*ndim
x0 = [2., 3.]
maxiter = 10000
# DifferentialEvolutionSolver
print "\nUsing DifferentialEvolutionSolver:"
npop = 40
from mystic.solvers import DifferentialEvolutionSolver
from mystic.termination import ChangeOverGeneration as COG
from mystic.strategy import Rand1Bin
esow = Monitor()
ssow = Monitor()
solver = DifferentialEvolutionSolver(ndim, npop)
solver.SetInitialPoints(x0)
solver.SetStrictRanges(lb, ub)
solver.SetEvaluationLimits(generations=maxiter)
solver.SetEvaluationMonitor(esow)
solver.SetGenerationMonitor(ssow)
term = COG(1e-10)
time1 = time.time() # Is this an ok way of timing?
solver.Solve(costfunc, term, strategy=Rand1Bin)
sol = solver.Solution()
time_elapsed = time.time() - time1
fx = solver.bestEnergy
print "Solution: ", sol
print "f value: ", fx
print "Iterations: ", solver.generations
print "Function evaluations: ", len(esow.x)
print "Time elapsed: ", time_elapsed, " seconds"
assert almostEqual(fx, 2.29478683682e-13, tol=3e-3)
# DifferentialEvolutionSolver2
print "\nUsing DifferentialEvolutionSolver2:"
npop = 40
from mystic.solvers import DifferentialEvolutionSolver2
from mystic.termination import ChangeOverGeneration as COG
from mystic.strategy import Rand1Bin
esow = Monitor()
ssow = Monitor()
solver = DifferentialEvolutionSolver2(ndim, npop)
solver.SetInitialPoints(x0)
solver.SetStrictRanges(lb, ub)
solver.SetEvaluationLimits(generations=maxiter)
solver.SetEvaluationMonitor(esow)
solver.SetGenerationMonitor(ssow)
term = COG(1e-10)
time1 = time.time() # Is this an ok way of timing?
solver.Solve(costfunc, term, strategy=Rand1Bin)
sol = solver.Solution()
time_elapsed = time.time() - time1
fx = solver.bestEnergy
print "Solution: ", sol
print "f value: ", fx
print "Iterations: ", solver.generations
print "Function evaluations: ", len(esow.x)
print "Time elapsed: ", time_elapsed, " seconds"
assert almostEqual(fx, 3.84824937598e-15, tol=3e-3)
# NelderMeadSimplexSolver
print "\nUsing NelderMeadSimplexSolver:"
from mystic.solvers import NelderMeadSimplexSolver
from mystic.termination import CandidateRelativeTolerance as CRT
esow = Monitor()
ssow = Monitor()
solver = NelderMeadSimplexSolver(ndim)
solver.SetInitialPoints(x0)
solver.SetStrictRanges(lb, ub)
solver.SetEvaluationLimits(generations=maxiter)
solver.SetEvaluationMonitor(esow)
solver.SetGenerationMonitor(ssow)
term = CRT()
time1 = time.time() # Is this an ok way of timing?
solver.Solve(costfunc, term)
sol = solver.Solution()
time_elapsed = time.time() - time1
fx = solver.bestEnergy
print "Solution: ", sol
print "f value: ", fx
print "Iterations: ", solver.generations
print "Function evaluations: ", len(esow.x)
print "Time elapsed: ", time_elapsed, " seconds"
assert almostEqual(fx, 1.08732211477e-09, tol=3e-3)
# PowellDirectionalSolver
print "\nUsing PowellDirectionalSolver:"
from mystic.solvers import PowellDirectionalSolver
from mystic.termination import NormalizedChangeOverGeneration as NCOG
esow = Monitor()
ssow = Monitor()
solver = PowellDirectionalSolver(ndim)
solver.SetInitialPoints(x0)
solver.SetStrictRanges(lb, ub)
solver.SetEvaluationLimits(generations=maxiter)
solver.SetEvaluationMonitor(esow)
solver.SetGenerationMonitor(ssow)
term = NCOG(1e-10)
time1 = time.time() # Is this an ok way of timing?
solver.Solve(costfunc, term)
sol = solver.Solution()
time_elapsed = time.time() - time1
fx = solver.bestEnergy
print "Solution: ", sol
print "f value: ", fx
print "Iterations: ", solver.generations
print "Function evaluations: ", len(esow.x)
print "Time elapsed: ", time_elapsed, " seconds"
assert almostEqual(fx, 0.0, tol=3e-3)
# import random
# xinit = [random.random() for j in range(ND)]
xinit = [0.8, 1.2, 0.7]
# xinit = [0.8,1.2,1.7] #... better when using "bad" range
min = [-0.999, -0.999, 0.999] #XXX: behaves badly when large range
max = [200.001, 100.001, inf] #... for >=1 x0 out of bounds; (up xtol)
# min = [-0.999, -0.999, -0.999]
# max = [200.001, 100.001, inf]
# min = [-0.999, -0.999, 0.999] #XXX: tight range and non-randomness
# max = [2.001, 1.001, 1.001] #...: is _bad_ for DE solvers
#print(diffev(rosen,xinit,NP,retall=0,full_output=0))
solver = DifferentialEvolutionSolver(len(xinit), NP)
solver.SetInitialPoints(xinit)
solver.SetStrictRanges(min, max)
solver.SetEvaluationLimits(generations=MAX_GENERATIONS)
solver.SetEvaluationMonitor(esow)
solver.SetGenerationMonitor(ssow)
solver.Solve(rosen, VTR(0.0001), \
CrossProbability=0.5, ScalingFactor=0.6, disp=1)
sol = solver.bestSolution
print(sol)
#print("Current function value: %s" % solver.bestEnergy)
#print("Iterations: %s" % solver.generations)
#print("Function evaluations: %s" % solver.evaluations)
times.append(time.time() - start)
algor.append('Differential Evolution\t')
for k, t in zip(algor, times):
print("%s\t -- took %s" % (k, t))
from mystic.models import sphere as model target = 0.0 n = 10 #term = Or((COG(generations=300), CollapseAt(None, generations=100), CollapseAs(generations=100))) term = Or((COG(generations=500), CollapseAt(target, generations=100))) #term = COG(generations=500) from mystic.solvers import DifferentialEvolutionSolver as TheSolver #from mystic.solvers import PowellDirectionalSolver as TheSolver from mystic.solvers import BuckshotSolver #solver = BuckshotSolver(n, 10) solver = TheSolver(n) solver.SetRandomInitialPoints() solver.SetStrictRanges(min=[0] * n, max=[5] * n) solver.SetEvaluationLimits(evaluations=320000, generations=1000) solver.SetTermination(term) #from mystic.termination import state #print state(solver._termination).keys() solver.Solve(model, disp=verbose) # while collapse and solver.Collapse(verbose): # solver.Solve(model) # we are done; get result print solver.Terminated(info=True) print solver.bestEnergy, "@" print solver.bestSolution # EOF
