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determWidth.py
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determWidth.py
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#!/usr/bin/env python3
import sys, time, argparse, subprocess, os.path, os, glob, math
Description = """
Tool to compute the deterministic width of a regular language.
"""
def main():
parser = argparse.ArgumentParser(description=Description, formatter_class=argparse.RawTextHelpFormatter)
parser.add_argument('input', help='a regular expression (optionally a DFA)', type=str)
parser.add_argument('--DFA', help='take in input a DFA instead of a regexp', action='store_true')
parser.add_argument('--Wheeler', help='check if the language is Wheeler (def. False)',action='store_true')
parser.add_argument('--p', help='check if the deterministic width is < (smaller) or >= (greater equal) than p', type=int)
parser.add_argument('--exact', help='find the exact deterministic width (def. False)',action='store_true')
parser.add_argument('--memory', help='minimize memory footprint (def. False)',action='store_true')
parser.add_argument('--keep', help='keep intermediate files (def. False, debug only)',action='store_true')
#parser.add_argument('--stats', help='print stats to file (def. False)',type=str, default="empty")
parser.add_argument('--verbose', help='activate verbose mode (def. False)',action='store_true')
args = parser.parse_args()
# Wheeler option has been activated
if args.Wheeler:
args.p = 2
# check selected width
if((not args.exact) and (args.p < 2)):
print("The width to check must be >= 2.")
exit(1)
logfile_name = args.input + ".log"
if( not args.DFA ):
logfile_name = "data/regexp.log"
# get main directory
args.main_dir = os.path.split(sys.argv[0])[0]
logfile_name = os.path.join(args.main_dir, logfile_name)
if args.verbose:
print("Sending logging messages to file:", logfile_name)
# set-up executables
dfamin_exe = os.path.join(args.main_dir, "external/dfaMinimizationComparison/Cpp/Modified/minimizer.x")
pruning_exe = os.path.join(args.main_dir, "build/prune.x")
partref_exe = os.path.join(args.main_dir, "external/finite-automata-partition-refinement/build/part-ref32.x")
doublingmerge_exe = os.path.join(args.main_dir, "external/DFAgen-suffixdoubling/suffix-doubling-on-pruned-graphs")
partrefmerge_exe = os.path.join(args.main_dir, "external/finite-automata-partition-refinement/build/merge32.x")
reg_to_dfa_exe = os.path.join(args.main_dir, "external/RegexpToAutomaton/regToAutomaton")
det_width_exe = os.path.join(args.main_dir, "build/det-width.x")
det_width_mem_exe = os.path.join(args.main_dir, "build/det-width-rm.x")
if args.memory:
det_width_exe = det_width_mem_exe
with open(logfile_name,"a") as logfile:
start0 = start = time.time()
if( not args.DFA ):
# add dollar to regexp
args.input = "($)" + "(" + args.input + ")"
if args.verbose:
print("Computing the minimum DFA of the regexp")
# compute minimum DFA
command = "{exe} {regexp} --DFAmin".format(exe=reg_to_dfa_exe,regexp=args.input)
with open(os.path.join(args.main_dir, "data/regexp.mdfa"),"w+") as dfa_file:
subprocess.call(command.split(), stdout=dfa_file)
# set the resulting DFA as the input
#args.input = "data/regexp.mdfa"
args.input = os.path.join(args.main_dir, "data/regexp.mdfa")
if args.verbose:
print("Elapsed time: {0:.4f}".format(time.time()-start))
############################################
if( args.DFA ):
start = time.time()
# compute the minimum dfa
command = "{exe} -in < {input} > {output}".format(exe=dfamin_exe, input=args.input, output=args.input+".min")
if args.verbose:
print("==== computing minimum DFA. Command: ", command)
with open(args.input, 'rb', 0) as a, open(args.input+".min", 'w') as b:
rc = subprocess.call(dfamin_exe, stdin=a, stdout=b)
if args.verbose:
print("Elapsed time: {0:.4f}".format(time.time()-start))
args.input = args.input+".min"
############################################
start = time.time()
command = "{exe} {input} {mindfa} {maxdfa}".format(exe=pruning_exe, input=args.input, mindfa=args.input+".prmin", maxdfa=args.input+".prmax")
if args.verbose:
print("==== pruning minimum DFA. Command: ", command)
if(execute_command(command,logfile,logfile_name)!=True):
return
if args.verbose:
print("Elapsed time: {0:.4f}".format(time.time()-start))
############################################
start = time.time()
no_nodes = 0
source = 0
with open(args.input+".prmin", "rb") as file:
try:
file.seek(-2, os.SEEK_END)
while file.read(1) != b'\n':
file.seek(-2, os.SEEK_CUR)
except OSError:
file.seek(0)
last_line = file.readline().decode()
no_nodes = int(last_line.split(" ")[0])
source = int(last_line.split(" ")[2])
command = "{exe} {input} {output} {nodes} {source} 0 1 0 1 0 1".format(exe=partref_exe, input=args.input+".prmin", output=args.input+".infima", nodes=no_nodes, source=source)
if args.verbose:
print("==== compute infima strings DFA. Command: ", command)
if(execute_command(command,logfile,logfile_name)!=True):
return
command = "{exe} {input} {output} {nodes} {source} 0 1 1 1 0 1".format(exe=partref_exe, input=args.input+".prmax", output=args.input+".suprema", nodes=no_nodes, source=source)
if args.verbose:
print("==== compute suprema strings DFA. Command: ", command)
if(execute_command(command,logfile,logfile_name)!=True):
return
if args.verbose:
print("Elapsed time: {0:.4f}".format(time.time()-start))
############################################
start = time.time()
'''
command = "{exe} {input1} {input2}".format(exe=doublingmerge_exe, input1=args.input+".infima", input2=args.input+".suprema")
print("==== merging infima and suprema pruned DFAs. Command: ", command)
with open(args.input+".interval", 'w') as b:
rc = subprocess.call(command.split(), stdout=b)
'''
no_states = source = 0
with open(args.input,'r') as fp:
header = fp.readline().split()
no_states = header[0]
source = header[2]
command = "{exe} {input1} {input2} {output} {states} {source_state} 0 1".format(exe=partrefmerge_exe, input1=args.input+".infima",
input2=args.input+".suprema", output=args.input+".interval",
states = no_states, source_state = source)
if args.verbose:
print("==== merging infimum and supremum pruned DFAs. Command: ", command)
if(execute_command(command,logfile,logfile_name)!=True):
return
if args.verbose:
print("Elapsed time: {0:.4f}".format(time.time()-start))
############################################
start = time.time()
if not args.exact:
if args.Wheeler:
command = "{exe} {p} {dfa} {interval}".format(exe=det_width_exe, p=args.p, dfa=args.input, interval=args.input+".interval")
if args.verbose:
print("==== compute A^2 pruned automaton and check language Wheelerness. Command: ", command)
if(execute_command(command,logfile,logfile_name)!=True):
return
if args.verbose:
print("Elapsed time: {0:.4f}".format(time.time()-start))
with open("answer", 'rb', 0) as a:
answer = a.readline().decode()
if(answer == "1"):
print("#########")
print('\033[95m' + " The regular language is Wheeler")
print('\033[0m' + "#########")
else:
print("#########")
print('\033[95m' + " The regular language is NOT Wheeler")
print('\033[0m' + "#########")
else:
command = "{exe} {p} {dfa} {interval}".format(exe=det_width_exe, p=args.p, dfa=args.input, interval=args.input+".interval")
if args.verbose:
print("==== compute A^p pruned automaton and check language width. Command: ", command)
if(execute_command(command,logfile,logfile_name)!=True):
return
if args.verbose:
print("Elapsed time: {0:.4f}".format(time.time()-start))
with open("answer", 'rb', 0) as a:
answer = a.readline().decode()
if(answer == "1"):
print("#########")
print('\033[95m' + " The deterministic width is <(smaller than)",args.p)
print('\033[0m' + "#########")
else:
print("#########")
print('\033[95m' + " The deterministic width is >=(greater or equal than)",args.p)
print('\033[0m' + "#########")
else:
no_states = 0
with open(args.input+".interval",'r') as fp:
no_states = sum(1 for line in fp)
language_width = 0
high = int(no_states)
low = 1
middle = 2
while True:
command = "{exe} {p} {dfa} {interval}".format(exe=det_width_exe, p=middle, dfa=args.input, interval=args.input+".interval")
#print(command)
if(execute_command(command,logfile,logfile_name)!=True):
return
with open("answer", 'rb', 0) as a:
answer = a.readline().decode()
if(answer == "1"):
high = middle - 1
break
#print("*** The width p of the language recognized by the input is <(smaller than)",args.width)
else:
low = middle
#print("*** The width p of the language recognized by the input is >=(greater or equal than)",args.width)
middle *= 2
if middle > no_states:
high = no_states
break
#if args.verbose:
# print("p is between:",low,"and",high)
while low != high:
middle = math.ceil((low+high)/2)
command = "{exe} {p} {dfa} {interval}".format(exe=det_width_exe, p=middle, dfa=args.input, interval=args.input+".interval")
#print(command)
if(execute_command(command,logfile,logfile_name)!=True):
return
with open("answer", 'rb', 0) as a:
answer = a.readline().decode()
if(answer == "1"):
high = middle - 1
else:
low = middle
print("#########")
print(" Regular language deterministic width:",'\033[95m' + "p =",low)
print('\033[0m' + "#########")
#language_width = low
#if args.stats != "empty":
# print stats
# with open(os.path.join(args.main_dir,args.stats),"w+") as fp:
# fp.write(str(language_width))
############################################
print("### Total elapsed time: {0:.4f}".format(time.time()-start0))
############################################
if not args.keep:
# remove intermediate files
for filename in glob.glob(os.path.join(args.main_dir, "data/regexp.mdfa*")):
os.remove(filename)
os.remove(os.path.join(args.main_dir, logfile_name))
# execute command: return True is everything OK, False otherwise
def execute_command(command,logfile,logfile_name,env=None):
try:
#subprocess.run(command.split(),stdout=logfile,stderr=logfile,check=True,env=env)
subprocess.check_call(command.split(),stdout=logfile,stderr=logfile,env=env)
except subprocess.CalledProcessError:
print("Error executing command line:")
print("\t"+ command)
print("Check log file: " + logfile_name)
return False
return True
if __name__ == '__main__':
main()