NTL: A Library for doing Number Theory
NTL is a high-performance, portable C++ library providing
data structures and algorithms
for manipulating signed, arbitrary length integers,
and for vectors, matrices, and polynomials over the integers and over
On modern platforms supporting C++11,
NTL can be compiled in thread safe
and exception safe modes.
If you are interested in contributing to the development of
NTL, please contact me (see contact info below).
I have a few projects in mind, and would be happy to discuss
other ideas as well.
Now available: NTL 9.6.2
information about recent changes
NTL wins a prize
NTL's author was recently awarded the
Richard Dimick Jenks
Memorial Prize for Excellence in
Software Engineering applied to Computer Algebra
for his work on NTL.
NTL vs FLINT
I've made a comparison between polynomial arithmetic in NTL and FLINT,
based on NTL 9.6.2, FLINT 2.5.2, and GMP 6.1.
You can see the results in this report.
You can download all the test programs here.
Short synpopsis: in many settings NTL is faster, and in others
FLINT is faster. It really depends on what you are doing.
Please read the report for full details.
As of version 9.5, NTL is now not only thread safe, but includes a new
thread boosting feature, which utilizes multiple cores
to speed up low-level computations.
This is a work in progress, and as of now, only
ZZ_pX arithmetic is thread boosted.
You can see the effect of thread boosting in the context
of polynomial factorization
in this report.
You can download the test programs here.
Short synposis: using 16 cores, NTL's (already pretty fast)
algorithm for factoring polynomials over ZZ_p
now runs 10-12 times faster.
This is a result of boosting the low-level ZZ_pX
arithmetic: the higher-level factoring routines are completely unchanged.
Pay what you like
NTL is freely available under a GPL license.
If you find the software useful, please feel free to donate to the author
you would like by clicking on the paypal button below.
And if you don't feel like donating, that's OK too.
Thanks for your help!
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