Need opinions on P vs NP

Paddy paddy3118 at gmail.com
Sat Apr 18 03:19:09 CEST 2015


Having just seen Raymond's talk on Beyond PEP-8 here: https://www.youtube.com/watch?v=wf-BqAjZb8M, it reminded me of my own recent post where I am soliciting opinions from non-newbies on the relative Pythonicity of different versions of a routine that has non-simple array manipulations.

The blog post: http://paddy3118.blogspot.co.uk/2015/04/pythonic-matrix-manipulation.html

The first, (and original), code sample:

def cholesky(A):
    L = [[0.0] * len(A) for _ in range(len(A))]
    for i in range(len(A)):
        for j in range(i+1):
            s = sum(L[i][k] * L[j][k] for k in range(j))
            L[i][j] = sqrt(A[i][i] - s) if (i == j) else \
                      (1.0 / L[j][j] * (A[i][j] - s))
    return L


The second equivalent code sample:

def cholesky2(A):
    L = [[0.0] * len(A) for _ in range(len(A))]
    for i, (Ai, Li) in enumerate(zip(A, L)):
        for j, Lj in enumerate(L[:i+1]):
            s = sum(Li[k] * Lj[k] for k in range(j))
            Li[j] = sqrt(Ai[i] - s) if (i == j) else \
                      (1.0 / Lj[j] * (Ai[j] - s))
    return L


The third:

def cholesky3(A):
    L = [[0.0] * len(A) for _ in range(len(A))]
    for i, (Ai, Li) in enumerate(zip(A, L)):
        for j, Lj in enumerate(L[:i]):
            #s = fsum(Li[k] * Lj[k] for k in range(j))
            s = fsum(Lik * Ljk for Lik, Ljk in zip(Li, Lj[:j]))
            Li[j] = (1.0 / Lj[j] * (Ai[j] - s))
        s = fsum(Lik * Lik for Lik in Li[:i])
        Li[i] = sqrt(Ai[i] - s)
    return L

My blog post gives a little more explanation, but I have yet to receive any comments on relative Pythonicity.



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