I am trying to do some work on some math conjecture. I am testing the conjecture numbers using very large math numbers (100+ digits ). I am currently using python to test these numbers.
In the conjecture's calculation, I quickly need to multiply and divide different large numbers several times. Python can do this quickly(~3000 calculations per minute). Is there any other faster software to achieve this.
Why not give GMPY2 a try? From the introduction:
gmpy2 is a C-coded Python extension module that supports multiple-precision arithmetic. gmpy2 is the successor to the original gmpy module. The gmpy module only supported the GMP multiple-precision library. gmpy2 adds support for the MPFR (correctly rounded real floating-point arithmetic) and MPC (correctly rounded complex floating-point arithmetic) libraries. gmpy2 also updates the API and naming conventions to be more consistent and support the additional functionality.
GMPY2 supports the integer arithmetic I assume you need and I doubt you can find anything faster.
On *nix based systems, you'll need to make sure that the latest version of GMP is installed (GNU MP Bignum Library. On Windows, you can find a Python wheel courtesy of Christophe Gohlke here.
Using something such as numpy.divide, you most likely will see no considerable difference from doing it in C++. Although casting might be something to consider.
C++ may see some improvement in this area as Python will have to deal with this in real-time. With C++ this will not pose an issue.
(Python will now cast any ints to floats for doing division as well).
OP's comment on OP:
yes,numbers are intergers
For arbitrarily large integer calculations, MAPLE is an option worth trying. it has very efficient implementations for a number of such calculations.
