Clang format

[Vikort]

Moved pr

[KovalM]

Add check formatting to CI, script for only check formatting. Look to source PR, this changes are presented there

[FallenChromium]

format-code.py seems a bit redundant. What do you think about a CMake integration? Something like this

[KovalM]

1. Add information about using code check to docs
2. Add setup pre-push hooks for code check. Add to docs info about install hooks

[codecov-commenter]

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[FallenChromium]

I see a major problem with this approach:

cd build
cmake ..
make

First, it changes the current directory which is undesirable. Second, it relies on make rather than CMake only, so if we're going to switch the build system someday (say cmake -G Ninja), our docs will be obsolete. I have a proposal: let's make this build command a standard:

cmake -B build
cmake --build build

It's shorter, only relies on CMake and it doesn't do the cd. If we'll adopt this approach in this PR, I'll make another one to redact it in the remaining places. I am not asking about this out of purely aesthetics reasons, look at what happened on my machine, for example:

I already have a build folder, but that shouldn't be a problem! If the script just used build as a target directory through cmake, rather than trying to create it manually, that would've passed.
I've also sent some minor notes about the documentation, but other than the problem stated above and docs changes, it looks good to me! The formatting rules themselves are a subject of discussion, personally I don't like how it looks, but it's very subjective so I'm not going to bring this up unless someone else wants to elaborate on the topic.

[FallenChromium]

Looks good to me! We could get rid of other pushd/popd or cd/cd .. logic too while we're at it, but it's unnecessary to do it in this PR.