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Computer Language Benchmarks Game      [[ Play ]]

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 performance measurements

Each table row shows performance measurements for this Python 3 program with a particular command-line input value N.

N	CPU secs	Elapsed secs	Memory KB	Code B	≈ CPU Load
500	9.13	2.48	25,296	437	93% 92% 94% 91%
3,000	313.92	79.38	26,040	437	99% 99% 99% 99%
5,500	1,062.11	268.32	27,732	437	99% 99% 99% 99%

Read the ↓ make, command line, and program output logs to see how this program was run.

Read spectral-norm benchmark to see what this program should do.

 notes

Python 3.3.1 (default, Apr 11 2013, 12:56:47)
[GCC 4.7.2] on linux

 spectral-norm Python 3 #5 program source code

# The Computer Language Benchmarks Game
# http://benchmarksgame.alioth.debian.org/

# Contributed by Sebastien Loisel
# Fixed by Isaac Gouy
# Sped up by Josh Goldfoot
# Dirtily sped up by Simon Descarpentries
# Concurrency by Jason Stitt
# 2to3

from multiprocessing import Pool
from math            import sqrt

from sys             import argv

def eval_A (i, j):
    return 1.0 / ((i + j) * (i + j + 1) / 2 + i + 1)

def eval_A_times_u (u):
    args = ((i,u) for i in range(len(u)))
    return pool.map(part_A_times_u, args)

def eval_At_times_u (u):
    args = ((i,u) for i in range(len(u)))
    return pool.map(part_At_times_u, args)

def eval_AtA_times_u (u):
    return eval_At_times_u (eval_A_times_u (u))

def part_A_times_u(xxx_todo_changeme):
    (i,u) = xxx_todo_changeme
    partial_sum = 0
    for j, u_j in enumerate(u):
        partial_sum += eval_A (i, j) * u_j
    return partial_sum

def part_At_times_u(xxx_todo_changeme1):
    (i,u) = xxx_todo_changeme1
    partial_sum = 0
    for j, u_j in enumerate(u):
        partial_sum += eval_A (j, i) * u_j
    return partial_sum

def main():
    n = int(argv[1])
    u = [1] * n

    for dummy in range (10):
        v = eval_AtA_times_u (u)
        u = eval_AtA_times_u (v)

    vBv = vv = 0

    for ue, ve in zip (u, v):
        vBv += ue * ve
        vv  += ve * ve

    print("%0.9f" % (sqrt(vBv/vv)))

if __name__ == '__main__':
    pool = Pool(processes=4)
    main()
    

 make, command-line, and program output logs

Fri, 12 Apr 2013 06:10:37 GMT

MAKE:
mv spectralnorm.python3-5.python3 spectralnorm.python3-5.py
0.01s to complete and log all make actions

COMMAND LINE:
/usr/local/src/Python-3.3.1/bin/python3.3 spectralnorm.python3-5.py 5500

PROGRAM OUTPUT:
1.274224153

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