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csd_kultainen3.py
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# CSD optimointialgoritmi
# Taneli Leppänen
from scipy.optimize import minimize
from math import sqrt
import numpy as np
def laske_d_pituus(d):
d_pituus = 0
for alkio in d:
d_pituus += alkio ** 2
d_pituus = sqrt(d_pituus)
return d_pituus
def pysayta(d, v, eps1, eps2):
d_pituus = laske_d_pituus(d)
if d_pituus < eps1 and v < eps2:
return True
else:
return False
def laske_v(g_lista):
v = 0
for g in g_lista:
if g > v:
v = 0 + g
return v
def laske_askel(R, x, d, v, delta, i_max):
d_pituus = laske_d_pituus(d)
d = d / d_pituus
fitness0 = laske_fitness(x, R, v)
m = 1
print("Suunta: " + str(d))
while True:
alpha = delta*(1.618**m)
x1 = x + alpha*d
fitness1 = laske_fitness(x1, R, v)
if fitness1 > fitness0:
if m < 2:
m = 2
break
print("Piste = " + str(x1))
print("Fitness0 = " + str(fitness0))
print("Fitness1 = " + str(fitness1))
print("m = " + str(m))
print("Alpha = " + str(alpha))
fitness0 = 0 + fitness1
m += 1
input("Continue>")
alpha_y = delta*(1.618**m)
alpha_a = delta*(1.618**(m-2))
while True:
vali = alpha_y - alpha_a
if vali < i_max:
return alpha_a
a = vali*(1 - 0.618)
b = vali*0.618
fitness_a = laske_fitness((x + d*(alpha_a + a)), R, v)
fitness_b = laske_fitness((x + d*(alpha_a + b)), R, v)
if fitness_a < fitness_b:
alpha_y = alpha_a + b
else:
alpha_a = alpha_a + a
def laske_d(x, g_arvot, nvars):
g1 = [(1/(4*x[0]*x[1])) - ((x[0] + x[1])/(4*(x[0]**2)*x[1])),
(1 / (4 * x[0] * x[1])) - ((x[0] + x[1]) / (4 * (x[1] ** 2) * x[0])),
]
g2 = [(1 / (4 * x[0] * x[1])) - ((x[0] - x[1]) / (4 * (x[0] ** 2) * x[1])),
(- 1 / (4 * x[0] * x[1])) - (x[0] - x[1]) / (4 * x[0] * (x[1] ** 2))
]
c = np.array([3109888511975475/2199023255552, 3109888511975475/2199023255552])
b = np.array(g_arvot)
A = np.array([])
def paivita(x, d, alph):
x = x + alph*d
return x
def laske_rajoitusrikkomat(x):
cons = [((2 * (2 ** 0.5) * 1000 * (x[0] + x[1]) * 10000) /
(210000 * (4 * x[0] * x[1]) + 4 * x[0] * x[1])) - 0.5,
((2 * (2 ** 0.5) * 1000 * (x[0] - x[1]) * 10000) /
(210000 * (4 * x[0] * x[1]))) - 1
]
print(cons)
return cons
def laske_fitness(x, R, v):
fitness = (2**0.5)*1000*(x[0] + x[1])
fitness += R*v
return fitness
def main():
nvars = 2
x0 = [180, 180]
eps1 = 0.01
eps2 = 0.01
R = 1000000
delta = 10
i_max = 0.01
iter_max = 10
x = x0
for k in range(iter_max):
g_arvot = laske_rajoitusrikkomat(x)
v = laske_v(g_arvot)
d = laske_d(x, g_arvot, nvars)
if pysayta(d, v, eps1, eps2):
print("Optimi pisteessa: " + str(x) + "\n" + "Kierroksella: " + str(k))
break
alpha = laske_askel(R, x, d, v, delta, i_max)
x = paivita(x, d, alpha)
main()