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GA.py
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GA.py
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#Maximisation of the area
#par l'algorithme GA
#created by Mohamed Nizar Driouich.
from scipy import *
from math import *
import matplotlib.pyplot as plt
from matplotlib.path import Path
import matplotlib.patches as patches
import sys
import pyclipper
import numpy as np
import random
import functools
import numpy.random as randnp
from PIL import Image, ImageDraw
import copy
import matplotlib.pyplot as plt
import csv
fig = plt.figure()
canv = fig.add_subplot(1, 1, 1)
canv.set_xlim(0, 500)
canv.set_ylim(0, 500)
Nb_Cycles = 100
Nb_Indiv = 20
polygon = ((10,10),(10,300),(250,300),(350,130),(200,10))
w = 0.9
ro_max = 1
def getBounds(polygon):
minMaxSets = [polygon[0][0], polygon[0][0], polygon[1][0], polygon[0][1]]
for linePoly in polygon:
if linePoly[0] < minMaxSets[0]:
minMaxSets[0] = linePoly[0]
elif linePoly[0] > minMaxSets[1]:
minMaxSets[1] = linePoly[0]
elif linePoly[1] < minMaxSets[2]:
minMaxSets[2] = linePoly[1]
elif linePoly[1] > minMaxSets[3]:
minMaxSets[3] = linePoly[1]
return minMaxSets
def inpolygon(pos, polygon):
np = len(polygon)
inside = False
for i in range(len(pos)):
inside = False
for i1 in range(np):
i2 = (i1+1) % np
if min(polygon[i1][0], polygon[i2][0]) < pos[i][0] < max(polygon[i1][0], polygon[i2][0]):
if (polygon[i1][1] + (polygon[i2][1]-polygon[i1][1])/(polygon[i2][0]-polygon[i1][0])*(pos[i][0]-polygon[i1][0]) - pos[i][1]) > 0:
inside = not inside
if inside == 0:
return 1
return 0
def makingCenterGravCircums(polygon):
temp = [0 for i in range(len(polygon[0]))]
for linePoly in polygon:
for i in range(len(linePoly)):
temp[i] += linePoly[i]
return temp
def makingCentGrav2(polygon):
centGrav = [0, 0]
for line in polygon:
centGrav[0] += line[0]/len(polygon)
centGrav[1] += line[1]/len(polygon)
return centGrav
def rotate(coord, angle, coord1):
temp = [coord[0]*math.cos(angle) - coord[1]*math.sin(angle), coord[0]*math.sin(angle) + coord[1]*cos(angle) ]
temp[0] += coord1[0]
temp[1] += coord1[1]
return temp
def initOne(polygon):
minMaxSets = getBounds(polygon)
coord = []
flag = 1
centGrav = makingCentGrav2(polygon)
while flag == 1:
pos = []
angle = random.uniform(0, math.pi)
pos.append([random.uniform(minMaxSets[0], minMaxSets[1]), random.uniform(minMaxSets[2], minMaxSets[3])])
pos.append([random.uniform(minMaxSets[0], minMaxSets[1]), random.uniform(minMaxSets[2], minMaxSets[3])])
pos.append(angle)
coord = sol2rect(pos)
flag = inpolygon(coord, polygon)
return pos
def initPop(nb, polygon):
return [initOne(polygon) for i in range(nb)]
def calcDist(pop1, pop2):
return math.sqrt(pow((pop1[0] - pop2[0]), 2) + pow((pop1[1] - pop2[1]), 2))
def modifCoord(pos, minMaxSets, flag):
temp4Pos = sol2rect(pos)
for i in range(len(temp4Pos)):
if temp4Pos[i][0] < minMaxSets[0]:
return flag
if minMaxSets[1] < temp4Pos[i][0]:
return flag
if temp4Pos[i][1] < minMaxSets[2]:
return flag
if minMaxSets[3] < temp4Pos[i][1]:
return flag
return -1
def sol2rect(pos):
tempPos = []
tempPos.append(pos[1])
tempPos.append(rotate([pos[1][0] - pos[0][0], pos[1][1] - pos[0][1]], -pos[2], pos[0]))
tempPos.append(rotate([pos[1][0] - pos[0][0], pos[1][1] - pos[0][1]], math.pi, pos[0]))
tempPos.append(rotate([tempPos[1][0] - pos[0][0], tempPos[1 ][1] - pos[0][1]], math.pi, pos[0]))
return tempPos
def makingCentGrav(polygon):
coor0 = [0, 0]
coor1 = [0, 0]
angl = 0
for line in polygon:
coor0[0] += (line[0][0])/len(polygon)
coor0[1] += (line[0][1])/len(polygon)
coor1[0] += (line[1][0])/len(polygon)
coor1[1] += (line[1][1])/len(polygon)
angl += line[2]/len(polygon)
return [coor0, coor1, angl]
def calcArea(pop):
temp4Pos = sol2rect(pop)
return calcDist(temp4Pos[0], temp4Pos[1]) * calcDist(temp4Pos[0], temp4Pos[3])
def makingInitianBest(pop, centerGrav):
tempIndBest = [pop[0][0], pop[0][1], pop[0][2]]
bestArea = calcArea(tempIndBest)
for linePop in pop:
currArea = calcArea(linePop)
if bestArea < currArea:
bestArea = currArea
tempIndBest = copy.deepcopy(linePop)
tempGroupBest = copy.deepcopy(tempIndBest)
return tempIndBest, tempGroupBest
def muration(pos, minMaxSets, polygon):
flag = 1
while flag == 1:
randTemp = random.randint (0, 3)
if randTemp == 0:
pos[0] = [random.uniform(minMaxSets[0], minMaxSets[1]), random.uniform(minMaxSets[2], minMaxSets[3])]
elif randTemp == 1:
pos[1] = [random.uniform(minMaxSets[0], minMaxSets[1]), random.uniform(minMaxSets[2], minMaxSets[3])]
else:
pos[2] = random.uniform(0, math.pi)
flag = inpolygon(sol2rect(pos), polygon)
return pos
def getBest(pop):
bestArea = 0
for linePop in pop:
if calcArea(linePop) > bestArea:
bestCoord = linePop
bestArea = calcArea(linePop)
return bestCoord
def getWorst(pop):
worstArea = 0
index = 0
worstCoord = pop[0]
for i, linePop in enumerate(pop):
if calcArea(linePop) < worstArea:
worstCoord = linePop
worstArea = calcArea(linePop)
index = i
return [worstCoord, index]
def makingInd(parents, minMaxSets, polygon):
flag = 1
centGrav = makingCentGrav(parents)
child = []
child = [np.array([centGrav[0][0], centGrav[0][1]]), np.array([centGrav[1][0], centGrav[1][1]]), centGrav[2]]
while flag == 1:
for i in range (3):
if i == 0 or i == 1:
dVec = [parents[1][i][0] - parents[0][i][0], parents[1][i][1] - parents[0][i][1]]
a = math.sqrt(pow(dVec[1], 2)/(pow(dVec[0], 2) + pow(dVec[1], 2)))
b = math.sqrt(pow(dVec[0], 2)/(pow(dVec[0], 2) + pow(dVec[1], 2)))
child[i][0] = (parents[0][i][0] + parents[1][i][0])/2 + randnp.randn()*(parents[1][i][0] - parents[0][i][0]) + calcDist(dVec, parents[2][0])*randnp.randn()*a
child[i][1] = (parents[0][i][1] + parents[1][i][1])/2 + randnp.randn()*(parents[1][i][1] - parents[0][i][1]) + calcDist(dVec, parents[2][0])*randnp.randn()*b
else:
child[i] = (parents[0][i] + parents[1][i])/2 + randnp.randn()*(parents[1][i] - parents[0][i])
child[i] = abs(child[i]) % (math.pi*2)
tempArray = sol2rect(child)
flag = inpolygon(tempArray, polygon)
return child
bestResultArea = []
bestResultCmbi = []
for iteration in range(30):
minMaxSets = getBounds(polygon)
centerGrav = makingCenterGravCircums(polygon)
pop = initPop(Nb_Indiv, polygon)
child = []
best = getBest(pop)
worst = getWorst(pop)
child = []
for i in range(Nb_Cycles):
for j in range(Nb_Indiv):
flag = 0
num1 = num2 = num3 = 0
while num1 == num2 == num3 or calcDist(pop[num1][0], pop[num2][0]) == 0 or calcDist(pop[num1][0], pop[num2][0]) == 0:
num1 = random.randint(0, Nb_Indiv - 1)
num2 = random.randint(0, Nb_Indiv - 1)
num3 = random.randint(0, Nb_Indiv - 1)
flag += 1
if flag == 10:
for i in range(3):
pop[i] = muration(pop[i], minMaxSets, polygon)
parents = [pop[num1], pop[num2], pop[num3]]
child.append(makingInd(parents, minMaxSets, polygon))
if calcArea(best) < calcArea(getBest(child)):
best = getBest(child)
pop[num1] = best
if calcArea(worst[0]) < calcArea(getBest(child)):
pop[worst[1]] = getBest(child)
worst = getWorst(pop)
print(iteration)
bestResultArea.append(calcArea(best))
bestResultCmbi.append(best)
print("Best Result Area")
for i in range(30):
print(bestResultArea[i])
print(bestResultCmbi)
for i in range(30):
print(bestResultCmbi[i])
print("The Best Result Area are : ")
for i in range(30):
print(bestResultArea[i])
print(bestResultCmbi)
for i in range(30):
print(bestResultCmbi[i])
for ite in range(30):
temp4Pos = sol2rect(bestResultCmbi[ite])
for i in range(len(temp4Pos)):
temp4Pos[i] = tuple(temp4Pos[i])
im = Image.new('RGB', (600, 600), "black")
draw = ImageDraw.Draw(im)
draw.polygon((polygon), fill=200, outline=(255, 0, 255))
draw.polygon((tuple(temp4Pos)), fill=(255, 255, 255), outline=(255, 0, 255))
im.save('/Users\ZBOOK\Desktop\heuristics\image\GA\GAresults' + str(ite) + '.jpg', quality=95)
with open('/Users\ZBOOK\Desktop\heuristics\csvRESULTSOFGA.csv', 'w') as f:
writer = csv.writer(f, lineterminator='\n')
writer.writerow(bestResultArea)