add workflow to deploy documentation

.github/workflows/publish_doc.yml

@@ -0,0 +1,45 @@
+name: publish-doc
+on:
+  push:
+    branches:
+      - dev
+  workflow_dispatch:
+
+jobs:
+  artifact-gen:
+    runs-on: macos-15
+    defaults:
+      run:
+        shell: bash
+    steps:
+      - uses: actions/checkout@v4
+        with:
+          fetch-depth: 0
+          submodules: 'true'
+      - name: run doxygen
+        run: |
+          yes | brew install doxygen graphviz
+          mkdir -p build
+          doxygen
+
+      - uses: actions/upload-artifact@v4
+        with:
+          name: github-pages
+          path: build/html
+          retention-days: 1
+
+  deploy-doc:
+    runs-on: macos-15
+    needs: artifact-gen
+    permissions:
+      pages: write
+      id-token: write
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+    steps:
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v4
+      - name: result
+        run: echo "Please visit ${{ env.url }} for the doxygen documnetaion."