I have to create and fill huge (e.g. 96 Go, 72000 rows * 72000 columns) array with floats in each case that come from mathematical formulas. The array will be computed after.
import itertools, operator, time, copy, os, sys
import numpy
from multiprocessing import Pool
def f2(x): # more complex mathematical formulas that change according to values in *i* and *x*
temp=[]
for i in combine:
temp.append(0.2*x[1]*i[1]/64.23)
return temp
def combinations_with_replacement_counts(n, r): #provide all combinations of r balls in n boxes
size = n + r - 1
for indices in itertools.combinations(range(size), n-1):
starts = [0] + [index+1 for index in indices]
stops = indices + (size,)
yield tuple(map(operator.sub, stops, starts))
global combine
combine = list(combinations_with_replacement_counts(3, 60)) #here putted 60 but need 350 instead
print len(combine)
if __name__ == '__main__':
t1=time.time()
pool = Pool() # start worker processes
results = [pool.apply_async(f2, (x,)) for x in combine]
roots = [r.get() for r in results]
print roots [0:3]
pool.close()
pool.join()
print time.time()-t1
- What's the fastest way to create and fill such huge numpy array? Filling lists then aggregate then convert into numpy array?
- Can we parallelize computation knowing that cases/columns/rows of the 2d-array are independent to speed-up the filling of the array? Clues/trails to optimize such computation using Multiprocessing?