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makeQAPrl.py
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import sys
from numpy import ndarray
import math
import random
MAX_K=5
MAX_N=500
XYpos = ndarray((MAX_N, 2))
d_matrix = ndarray((MAX_N, MAX_N))
f_matrix = ndarray((MAX_K, MAX_N, MAX_N))
n_fac = 30 # number of facilities/locations in the QAP
n_k = 2
overlap=1.0
def main():
corr=ndarray((MAX_N,),float)
M=0
K=1
m=100
A=-5
B=5
n_fac = 30 # number of facilities/locations in the QAP
n_k = 2
overlap=1.0
arg = sys.argv[1:]
if len(arg) == 1:
if arg[0] == "-h":
print("You have requested help with the -h argument. \nOther optional parameters are: -n positive integer : number of facilities/locations -k positive integer : number of objectives -c1 real in the interval [-1,1]: correlation between objectives 1 and 2 -c2 real in the interval [-1,1]: correlation between objectives 1 and 3 -c3 real in the interval [-1,1]: correlation between objectives 1 and 4 -c4 real in the interval [-1,1]: correlation between objectives 1 and 5 -ov real in the interval [0:1]: sets the fraction of flows that are correlated -A integer : flow control parameter (must be set less than B; negative values cause a sparse matrix) -B positive integer : flow control parameter -K positive integer : maximum number of points in a small cluster -M non-negative integer : radius of large clusters -m non-negative integer : radius of small clusters -s positive long : random seed\n Default values are: n = 30, k = 2, c1 = 0, c2 = 0, c3 = 0, c4 = 0, A = -5, B = 5, m = 100, M = 0, K = 1, ov = 0.7, s = 23453464")
sys.exit()
if len(arg) > 1 and len(arg)%2 == 0:
for i in range(0,len(arg),2):
if arg[i] == "-n":
n_fac = arg[i+1]
elif arg[i] == "-A":
A = arg[i+1]
elif arg[i] == "-B":
B = arg[i+1]
elif arg[i] == "-M":
M = arg[i+1]
elif arg[i] == "-K":
K = arg[i+1]
elif arg[i] == "-m":
m = arg[i+1]
elif arg[i] == "-ov":
overlap = arg[i+1]
elif arg[i] == "-k":
n_k = arg[i+1]
elif arg[i] == "-c1":
corr[1] = arg[i+1]
elif arg[i] == "-c2":
corr[2] = arg[i+1]
elif arg[i] == "-c3":
corr[3] = arg[i+1]
elif arg[i] == "-c4":
corr[4] = arg[i+1]
elif arg[i] == "-s":
seed = arg[i+1]
else:
print("Undefined command line parameter entered. Do \"./makeQAPrl -h\" for help with parameters.")
sys.exit()
if int(n_fac) > int(MAX_N) :
print("Number of facilities too high. Maximum is currently set at "+str(MAX_N));
sys.exit()
for k in range(0,int(n_k)):
if corr[k] > 1.0 or corr[k] < (-1.0):
print("Correlations must be in the interval [-1,1]")
sys.exit()
if int(n_k) > int(MAX_K):
print("number of objectives too high. Maximum is currently set at "+str(MAX_K))
sys.exit()
if int(B) < 0:
print("B must be a positive integer")
sys.exit()
if int(A) >= int(B):
print("A must be less than B")
sys.exit()
if int(K) < 0:
print("K must be a positive integer")
sys.exit()
if int(M) < 0:
print("M must be a positive integer")
sys.exit()
if int(m) < 0:
print("m must be a positive integer")
sys.exit()
point_in_plane(M, K, m, n_fac);
max_dist=0
for i in range(0,int(n_fac)):
for j in range(0,int(n_fac)):
d1=int(math.sqrt((XYpos[i][0]-XYpos[j][0])*(XYpos[i][0]-XYpos[j][0])+ ((XYpos[i][1]-XYpos[j][1]))*((XYpos[i][1]-XYpos[j][1]))))
d_matrix[i][j] = d1
d_matrix[j][i] = d1
if d1 > max_dist:
max_dist = d1
max_flow=0
for i in range(0,int(n_fac)):
for j in range(0,int(n_fac)):
if i == j:
f_matrix[0][i][i]=0
else:
r1 = random.random()
f1 = int(math.pow(10,((int(B)-int(A))*r1+int(A))))
f_matrix[0][i][j] = f1
f_matrix[0][j][i] = f1
if f1 > max_flow:
max_flow = f1
for k in range(1,int(n_k)):
if i == j:
f_matrix[k][i][i]=0
else:
r2 = random.random()
if r2 > int(overlap):
if f_matrix[0][i][j] == 0:
r2 = random.random()*int(B)
fk = int(math.pow(10,r2))
f_matrix[k][i][j] = fk
f_matrix[k][j][i] = fk
else:
fk = 0
f_matrix[k][i][j] = fk
f_matrix[k][j][i] = fk
else:
r2 = random.random()
if int(corr[k]) >= 0:
val = correl_val(r1,corr[k])
else:
val = 1.0 - correl_val(r1,-corr[k])
fk = int(math.pow(10,((int(B)-int(A))*val+int(A))))
f_matrix[k][i][j] = fk
f_matrix[k][j][i] = fk
if fk > max_flow:
max_flow = fk
print_output(int(n_k),int(n_fac))
def correl_val(v,c):
p = 0.5
if c == 1:
return v
if c == 0:
return random.random()
while True:
q = random.random()
diff = q - v
if diff < 0:
diff*=-1
w = math.exp(-(diff*diff)/(2.0*(1.0-math.pow(c,p))*(1.0-math.pow(c,p))))/(1.0-math.pow(c,p))*2.506
r = random.random()*1.0/(1.0-math.pow(c,p))*2.506
if w >= r:
break
return q
def print_output(n_k,n_fac):
print (str(n_k)+" "+str(n_fac))
for i in range (0,n_fac):
for j in range (0,n_fac):
print int(d_matrix[i][j]),
print("")
for k in range(0,n_k):
print("")
for i in range(0,n_fac):
for j in range(0,n_fac):
print int(f_matrix[k][i][j]),
print("")
def point_in_plane(M, K, m, max_points):
num_points=0
while num_points < int(max_points):
Theta = random.random()*2*math.pi
R = int(random.random() * M)
N = int((random.random() * K) + 1)
for i in range (0,N):
if num_points < int(max_points):
theta = random.random()*2*math.pi
r = int(random.random()*m)
XYpos[num_points][0] = int(R * math.cos(Theta) + r * math.cos(theta))
XYpos[num_points][1] = int(R * math.sin(Theta) + r * math.sin(theta))
num_points+=1
if __name__ == '__main__':
main()