Add clang-format check GitHub Action workflow

.github/workflows/clang-format-check.yml

@@ -0,0 +1,23 @@
+name: C Coding Style Check
+
+# Runs on pushes to pull request
+on: pull_request
+
+jobs:
+  # Build job
+  clang-format-style-check:
+    name: C Coding Style Check (clang-format check)
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout Repository
+        uses: actions/checkout@v4
+        with:
+          submodules: 'true'
+      - name: Install clang-format 19
+        run: |
+          wget https://apt.llvm.org/llvm.sh
+          chmod +x llvm.sh
+          sudo ./llvm.sh 19
+          sudo apt install clang-format-19
+      - name: clang-format code formatting check
+        run: clang-format-19 --dry-run -Werror --style=file:rocketlib/.clang-format *.c *.h