add a rust GitHub workflow (#4)

* add a rust GitHub workflow

* oopsie

.github/workflows/rust.yml

@@ -0,0 +1,46 @@
+name: Rust
+on:
+  push:
+    branches: ["main"]
+    paths:
+      - '**/*.rs'
+      - 'src/**'
+      - 'Cargo.toml'
+      - 'Cargo.lock'
+  pull_request:
+    paths:
+      - '**/*.rs'
+      - 'src/**'
+      - 'Cargo.toml'
+      - 'Cargo.lock'
+  workflow_dispatch:
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Install Rust
+        uses: dtolnay/rust-toolchain@stable
+
+      - name: Build
+        run: |
+          cargo build --verbose
+          cargo build --release --verbose
+
+  check:
+    runs-on: ubuntu-latest
+    needs: build
+
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Run cargo clippy
+        run: |
+          cargo clippy -- -Dwarnings
+          cargo clippy --release -- -Dwarnings
+
+      - name: Run cargo fmt
+        run: cargo fmt --all --check