performance measurements

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

 N  CPU secs Elapsed secs Memory KB Code B ≈ CPU Load
5508.712.4648,168575  93% 90% 93% 89%
5508.642.4548,248575  92% 92% 91% 90%
5508.802.4848,304575  92% 92% 89% 92%

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

 spectral-norm Python dev #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)))

pool = Pool(processes=4)
main()

 make, command-line, and program output logs

Tue, 09 Jul 2019 18:56:29 GMT

COMMAND LINE:
/usr/bin/python3.9 spectralnorm.python-dev-5.python-dev 550

PROGRAM OUTPUT:
1.274224125

Revised BSD license

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