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createLine.py
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170 lines (130 loc) · 4.59 KB
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#!/usr/bin/python3
import sys
import os
import math
import copy
def create_line_constrained(budget, target, size, threshold, det):
if det == 0:
file = open('line_' + str(size) +'_ran_z3.py', 'w')
else:
file = open('line_' + str(size) +'_det_z3.py', 'w')
file.write('from z3 import *\n\n')
# Dictionary to keep the values
var = {}
actions = ['l', 'r']
file.write('# Expected cost/reward of reaching the goal.\n')
for i in range(0, size):
file.write('pi' + str(i) + ' = Real(\'pi' + str(i) + '\')\n')
file.write('\n# Choice of observations (e.g. ys01 = 1 means that in state 0, observable 1 is observed)\n')
for i in range(0, size):
if i == target:
continue
for j in range(1, budget + 1):
file.write('ys' + str(i) + str(j) + ' = Real(\'ys' + str(i) + str(j) + '\')\n')
file.write('\n# Rates of randomized strategies\n')
for i in range(1, budget + 1):
file.write('xo' + str(i) + 'l' + ' = Real(\'xo' + str(i) + 'l\')\n')
file.write('xo' + str(i) + 'r' + ' = Real(\'xo' + str(i) + 'r\')\n')
file.write('solver = Solver()\n\n\n')
file.write('solver.add(\n')
file.write('#We cannot do better than the fully observable case\n')
for i in range(0, size):
file.write('pi' + str(i) + '>=' + str(abs(target - i)) + ', ')
file.write('\n')
file.write('# Expected cost/reward equations\n')
for i in range(0, size):
if i == target:
file.write('pi' + str(i) + ' == 0, \n')
line = 'pi' + str(i) + ' == ' + '(ys' + str(i)
if i == int(target):
continue
for a in actions:
for o in range(1, budget + 1):
line = line + str(o) + '*xo' + str(o) + a
if o < budget:
line = line + '+ ys' + str(i)
else:
if a == 'l':
line = line + ')*(1 + pi' + str(max(i-1, 0)) + ') + (ys' + str(i)
else:
line = line + ')*(1 + pi' + str(min(i+1, size-1)) + ')'
file.write(line + ',\n')
file.write('# We are dropped uniformly in the line\n# We want to check if the minimal expected cost is below some threshold ' + str(threshold) + '\n')
line = '('
for i in range(0, size):
if i == target:
continue
if i < size - 1:
if target == size - 1:
if i == size - 2 :
line = line + 'pi' + str(i) + ')'
else:
line = line + 'pi' + str(i) + '+'
else:
line = line + 'pi' + str(i) + '+'
else:
line = line + 'pi' + str(i) + ')'
e = copy.deepcopy(line + ' * Q(1,' + str(size-1) + ') ')
line = line + ' * Q(1,' + str(size-1) + ') ' + str(threshold) + ','
file.write(line + '\n')
file.write('# Randomised strategies (proper probability distributions)\n')
for i in range(1, budget + 1):
for a in actions:
file.write('xo' + str(i) + a + '>= 0,\n')
file.write('xo' + str(i) + a + '<= 1,\n')
for i in range(1, budget + 1):
for a in actions:
if a == 'l':
file.write('xo' + str(i) + a + ' + ')
else:
file.write('xo' + str(i) + a + ' == 1,\n')
if det == 1:
file.write('# Deterministic Strategies activated\n')
for i in range(1, budget + 1):
file.write('Or(xo' + str(i) + 'l ' + '== 0, xo' + str(i) + 'l' + ' == 1),\n')
file.write('Or(xo' + str(i) + 'r ' + '== 0, xo' + str(i) + 'r' + ' == 1),\n')
file.write('# ysNM is a function that should map every state N to some observable class M\n')
for i in range(0, size):
if i == target:
continue
for j in range(1, budget + 1):
file.write('Or(ys' + str(i) + str(j) + '== 0 , ys' + str(i) + str(j) + '== 1),\n')
file.write('# Every state should be mapped to exactly one equivalence class\n')
for i in range(0, size):
if i == target:
continue
for j in range(1, budget + 1):
file.write('ys' + str(i) + str(j))
if j < budget:
file.write(' + ')
else:
file.write(' == 1')
if i == size - 1:
file.write('\n)\n\n')
else:
if i == size - 2:
if target == size - 1:
file.write('\n)\n\n')
else:
file.write(',\n')
else:
file.write(',\n')
file.write('set_option(max_args=1000000, max_lines=100000000)\n')
file.write('file_results = open(\'results.txt\', \'w\')\n')
file.write('file_reward = open(\'reward.txt\', \'w\')\n')
file.write('if solver.check() == sat:\n\t')
file.write('m = solver.model()\n\t')
file.write('print(\'Solution found\')\n\t')
file.write('file_results.write(str(m))\n\t')
file.write('file_reward.write(str(m.eval(' + str(e) + ')))\n')
file.write('elif solver.check() == unsat:\n\t')
file.write('print(\'No solution!!!\')\n\t')
file.write('file_reward.write(\'N/A\')\n')
file.write('else:\n\t')
file.write('print(\'Unknown\')')
size = int(sys.argv[1])
target = int(sys.argv[2])
budget = int(sys.argv[3])
threshold = sys.argv[4]
det = int(sys.argv[5])
create_line_constrained(budget, target, size, threshold, det)