74 KiB
74 KiB
import requests
import random
import math
import time
import threading
import logging
logging.getLogger().setLevel(logging.INFO)
# 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)
req_addr = API_URL+'/factors/%d'%(n)
r = requests.get(req_addr )
if r.status_code > 299:
logging.error("wrong status code from webservice for addr: " + req_addr )
else:
result = r.json()
if result != factors:
logging.error("Wrong factors")
processing_time+=time.time() - iter_start
reqs+=1
time.sleep(0.5)
4.2 - AWS
API_URL="http://3.219.135.136:8080"
UNIT = 60.0 # secs
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()
INFO:root:Thread: 0 reqs: 36 mean time: 0.340s fast INFO:root:Thread: 0 reqs: 35 mean time: 0.350s fast INFO:root:Thread: 1 reqs: 14 mean time: 1.786s INFO:root:Thread: 0 reqs: 30 mean time: 0.511s fast INFO:root:Thread: 1 reqs: 14 mean time: 1.712s INFO:root:Thread: 0 reqs: 29 mean time: 0.548s fast INFO:root:Thread: 2 reqs: 13 mean time: 1.889s INFO:root:Thread: 1 reqs: 13 mean time: 1.817s INFO:root:Thread: 0 reqs: 26 mean time: 0.657s fast INFO:root:Thread: 2 reqs: 13 mean time: 1.956s INFO:root:Thread: 1 reqs: 13 mean time: 1.938s INFO:root:Thread: 0 reqs: 25 mean time: 0.770s fast INFO:root:Thread: 3 reqs: 12 mean time: 2.001s INFO:root:Thread: 2 reqs: 12 mean time: 2.030s INFO:root:Thread: 0 reqs: 23 mean time: 0.831s fast INFO:root:Thread: 1 reqs: 13 mean time: 1.909s INFO:root:Thread: 3 reqs: 13 mean time: 1.813s INFO:root:Thread: 2 reqs: 13 mean time: 1.932s INFO:root:Thread: 0 reqs: 25 mean time: 0.760s fast INFO:root:Thread: 1 reqs: 13 mean time: 1.937s INFO:root:Thread: 4 reqs: 13 mean time: 1.994s INFO:root:Thread: 3 reqs: 11 mean time: 2.218s INFO:root:Thread: 2 reqs: 12 mean time: 2.252s INFO:root:Thread: 0 reqs: 17 mean time: 1.299s fast INFO:root:Thread: 1 reqs: 10 mean time: 2.651s INFO:root:Thread: 4 reqs: 11 mean time: 2.355s INFO:root:Thread: 3 reqs: 12 mean time: 2.417s INFO:root:Thread: 2 reqs: 11 mean time: 2.279s INFO:root:Thread: 0 reqs: 18 mean time: 1.201s fast INFO:root:Thread: 1 reqs: 11 mean time: 2.353s INFO:root:Thread: 4 reqs: 13 mean time: 1.812s INFO:root:Thread: 3 reqs: 14 mean time: 1.847s INFO:root:Thread: 2 reqs: 12 mean time: 2.024s INFO:root:Thread: 0 reqs: 18 mean time: 1.166s fast INFO:root:Thread: 1 reqs: 12 mean time: 2.231s INFO:root:Thread: 4 reqs: 9 mean time: 2.275s INFO:root:Thread: 3 reqs: 12 mean time: 2.085s INFO:root:Thread: 2 reqs: 13 mean time: 1.947s INFO:root:Thread: 0 reqs: 22 mean time: 0.887s fast INFO:root:Thread: 1 reqs: 13 mean time: 1.960s INFO:root:Thread: 3 reqs: 6 mean time: 2.069s INFO:root:Thread: 2 reqs: 14 mean time: 1.772s INFO:root:Thread: 0 reqs: 27 mean time: 0.657s fast INFO:root:Thread: 2 reqs: 2 mean time: 1.711s INFO:root:Thread: 1 reqs: 14 mean time: 1.708s INFO:root:Thread: 0 reqs: 32 mean time: 0.451s fast INFO:root:Thread: 1 reqs: 13 mean time: 1.728s INFO:root:Thread: 0 reqs: 36 mean time: 0.338s fast INFO:root:Thread: 0 reqs: 34 mean time: 0.378s fast INFO:root:Thread: 0 reqs: 36 mean time: 0.334s fast
import numpy as np
import matplotlib.pyplot as plt
import scipy.stats as stats
%matplotlib inline
def plot():
mu = 0
std = 1
for i, result in enumerate(results):
x = [(x - START)/UNIT for x in result.keys()]
y = result.values()
plt.plot(x, y, label="t%d"%(i,))
plt.legend()
plt.show()
plot()
4.1 - Hetzner
API_URL="http://95.217.175.98:8080"
UNIT = 5.0 # secs
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()
INFO:root:Thread: 0 reqs: 4 mean time: 0.243s fast INFO:root:Thread: 0 reqs: 4 mean time: 0.160s fast INFO:root:Thread: 1 reqs: 2 mean time: 1.580s INFO:root:Thread: 0 reqs: 3 mean time: 0.585s fast INFO:root:Thread: 0 reqs: 3 mean time: 0.512s fast INFO:root:Thread: 1 reqs: 2 mean time: 1.289s INFO:root:Thread: 2 reqs: 2 mean time: 1.451s INFO:root:Thread: 0 reqs: 2 mean time: 1.323s fast INFO:root:Thread: 1 reqs: 2 mean time: 1.550s INFO:root:Thread: 2 reqs: 1 mean time: 2.738s INFO:root:Thread: 3 reqs: 1 mean time: 2.642s INFO:root:Thread: 0 reqs: 2 mean time: 1.370s fast INFO:root:Thread: 2 reqs: 2 mean time: 1.457s INFO:root:Thread: 1 reqs: 2 mean time: 1.997s INFO:root:Thread: 3 reqs: 1 mean time: 2.158s INFO:root:Thread: 0 reqs: 2 mean time: 1.973s fast INFO:root:Thread: 4 reqs: 2 mean time: 2.063s INFO:root:Thread: 2 reqs: 1 mean time: 2.384s INFO:root:Thread: 1 reqs: 2 mean time: 1.721s INFO:root:Thread: 3 reqs: 1 mean time: 3.673s INFO:root:Thread: 0 reqs: 2 mean time: 1.371s fast INFO:root:Thread: 4 reqs: 1 mean time: 3.717s INFO:root:Thread: 2 reqs: 2 mean time: 1.469s INFO:root:Thread: 1 reqs: 1 mean time: 3.726s INFO:root:Thread: 3 reqs: 1 mean time: 3.833s INFO:root:Thread: 4 reqs: 1 mean time: 2.686s INFO:root:Thread: 0 reqs: 1 mean time: 2.421s fast INFO:root:Thread: 1 reqs: 1 mean time: 2.063s INFO:root:Thread: 2 reqs: 1 mean time: 2.196s INFO:root:Thread: 3 reqs: 2 mean time: 1.929s INFO:root:Thread: 0 reqs: 3 mean time: 0.539s fast INFO:root:Thread: 1 reqs: 2 mean time: 1.196s INFO:root:Thread: 2 reqs: 1 mean time: 1.531s INFO:root:Thread: 1 reqs: 1 mean time: 1.502s INFO:root:Thread: 0 reqs: 3 mean time: 0.389s fast INFO:root:Thread: 0 reqs: 4 mean time: 0.177s fast INFO:root:Thread: 0 reqs: 4 mean time: 0.160s fast INFO:root:Thread: 0 reqs: 1 mean time: 0.254s fast
plot()