learn the programming language for computing functions about integers
- by asd
Hi
I know something about Pascal, Mathematica and Matlab, but I dont have any idea about C,C++,C# languages.
I want to learn one of the languages that they they are fast and exact to compute some arithmetic functions for large numbers(for example larger than $10^3000$). I asked somebody and he said he used C++ and he said I computed this sequence in less than 10 min.
I want to know C, C++, C# and visual kind of theses programs and know which is better for my goal.
Let $f$ be an arithmetic function and A={k1,k2,...,kn} are integers in increasing order.
Now I want to start with k1 and compare f(ki) with f(k1). If f(ki)f(k1), put ki as k1.
Now start with ki, and compare f(kj) with f(ki), for ji. If f(kj)f(ki), put kj as ki, and repeat this procedure.
At the end we will have a sub sequence B={L1,...,Lm} of A by this property:
f(L(i+1))f(L(i)), for any 1<=i<=m-1
I have written a code for this program with Mathematica, and it take some hours to compute f of ki's or the set B for large numbers.
For example, let f is the divisor function of integers.
Do you know how to write the code for my purpose in Mathematica or Matlab. Mathematica is preferable.
