dpzc/lab4/prime.py
2023-01-10 21:44:53 +01:00

128 lines
3.9 KiB
Python

import requests
import random
import math
import time
import threading
import logging
logging.getLogger().setLevel(logging.INFO)
API_URL="http://localhost:8080"
UNIT = 5.0 # secs
# Pre generated primes
first_primes_list = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29,
31, 37, 41, 43, 47, 53, 59, 61, 67,
71, 73, 79, 83, 89, 97, 101, 103,
107, 109, 113, 127, 131, 137, 139,
149, 151, 157, 163, 167, 173, 179,
181, 191, 193, 197, 199, 211, 223,
227, 229, 233, 239, 241, 251, 257,
263, 269, 271, 277, 281, 283, 293,
307, 311, 313, 317, 331, 337, 347, 349]
def nBitRandom(n):
return random.randrange(2**(n-1)+1, 2**n - 1)
def getLowLevelPrime(n):
'''Generate a prime candidate divisible
by first primes'''
while True:
# Obtain a random number
pc = nBitRandom(n)
# Test divisibility by pre-generated
# primes
for divisor in first_primes_list:
if pc % divisor == 0 and divisor**2 <= pc:
break
else: return pc
def isMillerRabinPassed(mrc):
'''Run 20 iterations of Rabin Miller Primality test'''
maxDivisionsByTwo = 0
ec = mrc-1
while ec % 2 == 0:
ec >>= 1
maxDivisionsByTwo += 1
assert(2**maxDivisionsByTwo * ec == mrc-1)
def trialComposite(round_tester):
if pow(round_tester, ec, mrc) == 1:
return False
for i in range(maxDivisionsByTwo):
if pow(round_tester, 2**i * ec, mrc) == mrc-1:
return False
return True
# Set number of trials here
numberOfRabinTrials = 20
for i in range(numberOfRabinTrials):
round_tester = random.randrange(2, mrc)
if trialComposite(round_tester):
return False
return True
def random_large_prime(bits):
while True:
prime_candidate = getLowLevelPrime(bits)
if not isMillerRabinPassed(prime_candidate):
continue
else:
return prime_candidate
def thread_function(i, fast, timeout):
start = time.time()
c = 5 # bits: 20: 200ms; 21: 350ms; 22: 700ms 23: 1.5s; 25: 6s; 26: 10s; 27: 24s
bits = 19 if fast else 23
last_report = time.time()
processing_time = 0.0
reqs = 0
while True:
iter_start = time.time()
if iter_start - start > timeout:
logging.info("Thread: %d\treqs: %d\tmean time: %.3fs\t%s"%(i, reqs, processing_time/reqs if reqs>0 else 0.0, "fast\t" if fast else ""))
results[i][iter_start] = processing_time/reqs if reqs>0 else 0.0
return
if iter_start - last_report > UNIT/2:
if len(results[i])%2 == 0:
logging.info("Thread: %d\treqs: %d\tmean time: %.3fs\t%s"%(i, reqs, processing_time/reqs if reqs>0 else 0.0, "fast\t" if fast else ""))
results[i][iter_start] = processing_time/reqs if reqs>0 else 0.0
processing_time = 0.0
reqs = 0
last_report=iter_start
factors = [random_large_prime(bits) for i in range(c)]
factors.sort()
n=math.prod(factors)
r = requests.get(API_URL+'/factors/%d'%(n))
if r.status_code != 200:
logging.error("wrong status code from webservice")
else:
result = r.json()
if result != factors:
logging.error("Wrong factors")
processing_time+=time.time() - iter_start
reqs+=1
time.sleep(0.5)
START = time.time()
slow_threads = 4
results = [ {} for i in range(slow_threads+1)]
t0 = threading.Thread(target=thread_function, args=(0, True, (5 + slow_threads*3) * UNIT))
t0.start()
time.sleep(2 * UNIT)
for i in range(slow_threads):
t = threading.Thread(target=thread_function, args=(i+1, False, (slow_threads-i) * 3 * UNIT))
t.start()
time.sleep(2 * UNIT)
t0.join()