This is my first attempt to use JIT for python and this is the use case I want to speed up. I read a bit about numba and it seemed simple enough but the following code didn't provide any speedup. Please excuse any obvious mistakes I may be making.
I also tried to do what the basic tutorial of cython suggests but again no difference in time. http://docs.cython.org/src/tutorial/cython_tutorial.html
I'm guessing I have to do something like declare variables? Use other libraries? Use for loops exclusively for everything? I'd appreciate any guidance or examples I can refer to.
For example I know from a previous question Elementwise operations in mpmath slow compared to numpy and its solution that using gmpy instead of mpmath was significantly faster.
import numpy as np
from scipy.special import eval_genlaguerre
from sympy import mpmath as mp
from sympy.mpmath import laguerre as genlag2
import collections
from numba import jit
import time
def len2(x):
return len(x) if isinstance(x, collections.Sized) else 1
@jit # <-- removing this doesn't change the output time if anything it's slower with this
def laguerre(a, b, x):
fun = np.vectorize(genlag2)
return fun(a, b, x)
def f1( a, b, c ):
t = time.time()
M = np.ones( [ len2(a), len2(b), len2(c) ] )
A, B, C = np.meshgrid( a, b, c, indexing = 'ij' )
temp = laguerre(A, B, C)
M *= temp
print 'part1: ', time.time() - t
t = time.time()
A, B = np.meshgrid( a, b, indexing= 'ij' )
temp = np.array( [[ mp.fac(x1)/mp.fac(y1) for x1,y1 in zip(x2,y2)] for x2,y2 in zip(A, B)] )
temp = np.reshape( temp, [ len(a), len(b), 1 ] )
temp = np.repeat( temp, len(c), axis = 2 )
print 'part2 so far:', time.time() - t
M *= temp
print 'part2 finally', time.time() - t
t = time.time()
a = mp.arange( 30 )
b = mp.arange( 10 )
c = mp.linspace( 0, 100, 100 )
M = f1( a, b, c)