I am solving massive factorials in python and have found that when I am done calculating the factorial it takes the same time to convert to string to save to a file. I have tried to find a fast way to convert an int to string. I will put an example of computation and int conversion time. I am using the generic a = str(a) but fell like there is a better way like using a buffer or library.
EX:
Solving 100,000 factorial = 456,574 Digets
Computation time: 6.36 Seconds
Conversion time: 5.20 Seconds
If you have any segestions / solutions let me know! Anything will help.
import time
factorial = 1
print(" ")
one = int(input("lower = "))
two = int(input("higher = "))
start = time.time()
for x in range(one,two + 1):
factorial = factorial * two
two = two - 1
end = time.time()
print("DONE! ")
print(end - start, "Seconds to compute")
start = time.time()
factorial = str(factorial)
f = open('Ans_1.txt','w')
f.write(factorial)
f.close()
end = time.time()
print(end - start, "Seconds to convert and save")
print(len(factorial), "Digets")
This code is faster (but not enough! :D)
╔═══╦════════════╦═════════════╦══════════════╦═══════════════════╗
║ ║ Count ║ Compute(s) ║ Convert(s) ║ M.T Convert(s) ║
╠═══╬════════════╬═════════════╬══════════════╬═══════════════════╣
║ 1 ║ 100,000 ║ 2.68 ║ 3.85 ║ 2.81 ║
║ 2 ║ 250,000 ║ 21.17 ║ 39.83 ║ 21.09 ║
╚═══╩════════════╩═════════════╩══════════════╩═══════════════════╝
Anyway, I think you can do it faster with multi-threading.
import time import math import threading
res_dict = {}
def int_str(threadID, each_thread, max_thread):
if threadID == 1 :
res_dict[threadID] = (str(factorial // 10 ** (each_thread * (max_thread - 1))))
elif threadID == max_thread:
res_dict[threadID] = (str(int(factorial % 10 ** (each_thread * 1))))
else:
tmp = (factorial % 10 ** (each_thread * (max_thread - threadID + 1))) // 10 ** (each_thread * (max_thread - threadID))
pre = "0" * ((digits // max_thread) - (math.floor(math.log10(tmp))+1))
res_dict[threadID] = (pre + str(int(tmp)))
factorial = 1
print(" ")
def fact(a,b):
if b == 1:
return 1
else:
return a * fact(a,b-1)
one = int(input("lower = "))
two = int(input("higher = "))
start = time.time()
for x in range(one,two + 1):
factorial = factorial * two
two = two - 1
end = time.time()
print("DONE! ")
print(end - start, "Seconds to compute")
start = time.time()
digits = math.floor(math.log10(factorial))+1
max_thread = 3
each_thread = digits // max_thread
tr = []
for item in range(1, max_thread + 1):
t = threading.Thread(target=int_str, args=(item, each_thread, max_thread))
t.start()
tr.append(t)
for item in tr:
item.join()
last_res = ''
for item in sorted(res_dict):
if item != max_thread:
last_res += res_dict[item]
else:
last_res += ("0" * (digits - len(last_res) - len(res_dict[item]))) + res_dict[item]
f = open('Ans_2.txt','w')
f.write(last_res)
f.close()
end = time.time()
print(end - start, "Seconds to convert and save")
print(digits, "Digets")
just run your code with pypy
it's amazingly fast!
╔═══╦════════════╦═════════════╦══════════════╦═══════════════════╗
║ ║ Count ║ Compute(s) ║ Convert(s) ║ pypy Convert(s) ║
╠═══╬════════════╬═════════════╬══════════════╬═══════════════════╣
║ 1 ║ 100,000 ║ 2.98 ║ 3.85 ║ 0.79 ║
║ 2 ║ 250,000 ║ 25.83 ║ 39.83 ║ 7.17 ║
╚═══╩════════════╩═════════════╩══════════════╩═══════════════════╝