Add workflow to compile, lint and test Rust code

.github/workflows/rust.yml

@@ -0,0 +1,38 @@
+name: Rust
+
+on:
+  push:
+  workflow_dispatch:
+
+env:
+  CARGO_TERM_COLOR: always
+
+jobs:
+  rust:
+    name: Compile, lint, test
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - name: Setup Rust
+        run: rustup update stable && rustup default stable
+      - name: Cargo cache
+        uses: actions/cache@v4
+        with:
+          path: |
+            ~/.cargo/.crates.toml
+            ~/.cargo/.crates2.json
+            ~/.cargo/bin/
+            ~/.cargo/registry/index/
+            ~/.cargo/registry/cache/
+            ~/.cargo/git/db/
+            target/
+          key: ${{ runner.os }}-cargo-${{ hashFiles('**/Cargo.lock') }}
+          restore-keys: ${{ runner.os }}-cargo-
+      - name: Build
+        run: cargo build --verbose
+      - name: Check rustfmt
+        run: cargo fmt --all -- --check
+      - name: Check clippy
+        run: cargo clippy -- -D warnings
+      - name: Run tests
+        run: cargo test --verbose