compilation failure with "cargo check --tests" for espidf about rust HOT 1 OPEN

First of a short general remark, while we can push for making it possible to build crossplatform test this way they will never be runnable. For us the way forward is to build tests and use an external test harness, in the concrete case we are using the embedded-test crate for such adventures.

A current workaround to don't have rust-analyzer go insane on trying to build that tests the normal way is:
Explicitly tell it inside your Cargo.toml by defining a section - depending on if you are building a lib, bin or a test - with the harness=false field.
That will tell the system to not use the inbuilt rust test harness.

For your example project you would add a section like this

[[bin]]
name = "your project name"
harness = false

That said this answer is only trying to answer to the underlying issue of building test against espidf as a crossplatform target and
not going into the detail of defining the right or wrong things inside rust libc

from rust.