Implement interfaces to all existing functions

[14NGiestas]

I should start with BLAS.

• BLAS level 1
• BLAS level 2
• BLAS level 3

Other references:
Intel MKL
oneAPI BLAS
oneAPI LAPACK

[ivan-pi]

Hello @14NGiestas,

is the aim of this project to provide something similar to LAPACK95?

A few times I have asked myself if Fortran stdlib should also export some sort of BLAS and LAPACK layers.

[14NGiestas]

Hi @ivan-pi yep pretty much, but including support to BLAS and using meta-programming to simplify the code base as well. I didn't found a alternative to MKL's blas95, so here I am.

It would be nice to stdlib have some LAPACK, FFTW and BLAS integration of some sort to speed up some handy high level interface like eig, fft and etc. However, this brings that question about external dependencies. I think we should take insights from other communities like Julia, Boost/C++ and SciPy about it, but since Fortran has a science-driven community it wouldn't hurt to depend on such widely used and popular libraries.

[ivan-pi]

Ok, so the missing generic interface to BLAS is one of the issues.

Without doubt, in stdlib we will need to agree on some form of LAPACK, FFTW, and BLAS integration. Having generic interfaces available would definitely simplify the programming.