Jacobi symbol using Lehmer's algorithm.
Niels Möller
nisse at lysator.liu.se
Mon Jan 25 21:20:26 CET 2010
nisse at lysator.liu.se (Niels Möller) writes:
> New version (the file is getting rather large now) at
> http://www.lysator.liu.se/~nisse/misc/jacobi.c
And here's a benchmark on shell:
n old lehmer subquadratic
10 13.118 0.600 0.577
30 31.861 0.471 0.467
100 441.870 0.288 0.288
300 3310.419 0.180 0.180
1000 36827.000 0.121 0.099
3000 300266.000 0.118 0.058
10000 3564051.000 0.103 0.029
So at 10000 limbs, the Lehmer code beats the old code by 10 times, and
then the subquadratic algorithm wins a factor 3.4 more.
Regards,
/Niels
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