GiNac Experience

https://www.ginac.de/tutorial/

GiNac is an exceptional symbol library for C++ development.

Install:

tar xf ginac_xxx.tar.gz
cd ginac_xxx
cmake -Bbuild
cmake --build build --parallel 8

Example:

using namespace std;
using namespace GiNaC;

ex HermitePoly(const symbol & x, int n)
{
    ex HKer=exp(-pow(x, 2));
    // uses the identity H_n(x) == (-1)^n exp(x^2) (d/dx)^n exp(-x^2)
    return normal(pow(-1, n) * diff(HKer, x, n) / HKer);
}

int main()
{
    symbol z("z");

    for (int i=0; i<6; ++i)
        cout << "H_" << i << "(z) == " << HermitePoly(z,i) << endl;

    return 0;
}