Add GitHub Actions CI workflow

.github/workflows/rust.yml

@@ -0,0 +1,44 @@
+name: Rust
+
+on:
+  push:
+    branches: ["main"]
+  pull_request:
+    branches: ["main"]
+
+env:
+  CARGO_TERM_COLOR: always
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Install Rust toolchain
+        uses: dtolnay/rust-toolchain@stable
+
+      - name: Cache cargo registry
+        uses: actions/cache@v4
+        with:
+          path: |
+            ~/.cargo/registry
+            ~/.cargo/git
+            target
+          key: ${{ runner.os }}-cargo-${{ hashFiles('**/Cargo.lock') }}
+
+      - name: Build main crate
+        run: cargo build --workspace --verbose
+
+      - name: Build without default features
+        run: cargo build --workspace --no-default-features --verbose
+
+      - name: Run tests
+        run: cargo test --workspace --verbose
+
+      - name: Check formatting
+        run: cargo fmt --all -- --check
+
+      - name: Run clippy
+        run: cargo clippy --workspace -- -D warnings