Q:

Fully statically build application with all dependencies (libgcc, etc.)?

I am currently trying to compile all my applications' dependencies as a static library. My motivation:

Not to rely on any OS provided libraries in order to have a perfectly reproducible code base
Avoid issues when deploying on other systems caused by dynamic linking
Avoid run-time clashes when linking against different versions of a library
Being able to cross-compile for other OS

However, as I initially dreaded I had to go down the rabbit hole quite fast. I am currently stuck with OpenCV and I'm sure there is more to come. However, my main questions are:

Is it possible to build an entirely statically build app (e.g. libc, ligcc, etc. ?)
Is it possible to link all libraries statically but link major components (libgcc, etc.) dynamically?
If not, is it possible to link against statically built libraries (e.g. OpenCV) but to satisfy their dependencies by linking dynamically (zlib, libc, etc.)?
I did research on the internet but couldn't find a comprehensive guide that dwells on the internals of linking (static vs. dynamic). Do you know about a good book / tutorial? Does a book about gcc get me further?
Is this a very stupid idea?

A:

My motivation:

Not to rely on any OS provided libraries in order to have a perfectly reproducible code base

Avoid issues when deploying on other systems caused by dynamic linking

Avoid run-time clashes when linking against different versions of a library

Being able to cross-compile for other OS

Your motivations are all wrong.
For #1, you do not need a fully-static binary. You just need to link against a set of version-controlled libraries using --sysroot facility provided by GNU linkers
For #2, you motivation is misguided.
On Linux, a fully-static binary may crash in mysterious ways if the libc installed on a target system is different from (static) libc the program was built on. That is, a fully-static binary on Linux is (contrary to popular belief) significantly less portable than a dynamically linked one. One should simply never statically link libc.a on Linux.
This alone should make you abandon this approach (at least for any GLIBC based systems).
For #3, don't link against different versions of a library (at program build time), and no clashes will result.
For #4, the same solution as for #1 just works.

