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import math
import random
import time,os
from matplotlib.pyplot import *
import numpy as np
class Metal():
def __init__(self, data, temperature, descending):
self.temperature = temperature
self.descending = descending
self.change = range(0, len(data))
self.data = data
self.best = [[1,2], float("inf")]
self.x = self.best[0][:]
self.y = self.best[1]
self.HistoryY = []
self.Cm = cm.get_cmap('Greys')
def Smelt(self):
"""
开始冶炼
"""
NewY = self.Fx(self.change)
dE = self.y - NewY
if dE > 0 or math.e ** (dE / self.temperature) > random.uniform(0, 1):
self.y = NewY
self.x = self.change[:]
if self.y < self.best[1]:
self.best[0] = self.x
self.best[1] = self.y
os.system('cls')
print '当金属温度为', self.temperature, '℃时达到历史最佳路径, 长度为', self.best[1], '\n 路线为\n', self.best[0], '\n', '-'*100
self.HistoryY += [NewY]
self.temperature -= self.descending
self.RandX()
def Fx(self, xi):
"""
计算冶炼的程度
"""
start = 0
distance = 0.0
Xi=xi+[xi[0]]
for end in range(1, len(Xi)):
distance += ((self.data[Xi[start]][1][0] * 1.0 - self.data[Xi[end]][1][0]) ** 2 + (self.data[Xi[start]][1][1] * 1.0 - self.data[Xi[end]][1][1]) ** 2) ** 0.5
start = end
return distance
def RandX(self):
"""
随机产生 2 个点,
一个为起点,一个为终点,
将这 2 点之间的路径倒置
"""
self.change = self.x[:]
start = random.randint(0, len(self.change))
end = random.randint(start, len(self.change))
self.change[start:end] = self.change[start:end][::-1]
def PlotAndSave(self):
"""
冶炼结束时画出每温度下的 x 与 y
"""
plot(range(1, len(self.HistoryY) + 1), self.HistoryY)
title(str(self.x) + '\n\n' + str(self.y), fontsize = 7)
savefig('Max.jpg')
close('all')
xr = []
yr = []
for i in self.x:
xr += [self.data[i][1][0]]
yr += [self.data[i][1][1]]
xr = np.array(xr + [xr[0]])
yr = np.array(yr + [yr[0]])
x0 = xr[:2]
y0 = yr[:2]
xr = xr[1:]
yr = yr[1:]
quiver(x0[:-1], y0[:-1], x0[1:] - x0[:-1], y0[1:] - y0[:-1], scale_units = 'xy', angles = 'xy', scale = 1, color='r')
quiver(xr[:-1], yr[:-1], xr[1:] - xr[:-1], yr[1:] - yr[:-1], scale_units = 'xy', angles = 'xy', scale = 1)
savefig('Max_Road.jpg')
close('all')
time.clock()
data = [["*", [37, 52]],..., ["*", [30,40]]]
temperature = 100
descending = 0.001
metal = Metal(data, temperature, descending)
while metal.temperature > 1:
t = time.clock()
minute, second = divmod(t, 60)
hour, minute = divmod(minute, 60)
metal.Smelt()
print '当前金属温度为', metal.temperature, '℃', '此温度下最优路径长度为', metal.y, ' 花费时间 %02d:%02d:%02d' %(hour, minute, second), ' '*5,'\r',
print '\n路线为\n', metal.x
metal.PlotAndSave()
print
os.system('pause')
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