add deploy doc

.github/workflows/deploy_doc.yml

@@ -0,0 +1,46 @@
+name: Deploy Documentation
+
+on:
+  push:
+    branches:
+      - main
+      - lwj/deploy_doc
+  pull_request:
+    branches:
+      - main
+
+concurrency:
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: true
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+        with:
+          submodules: true
+          fetch-depth: 0
+
+      - name: Set up python
+        uses: actions/setup-python@v5
+        with:
+          python-version: '3.10'
+
+      - name: Install dependencies
+        run: |
+          pip install -r requirements.txt
+          pip install -r docs/requirements.txt
+          python docs/add_docstrings.py
+
+      - name: Start MkDocs server
+        id: start_server
+        run: |
+          mkdocs serve -a localhost:1369 &
+
+      - name: Wait for server to start
+        run: sleep 100
+
+      - name: Check if MkDocs server is running
+        run: |
+          curl --silent --fail http://localhost:1369 || (echo "MkDocs server failed to start" && exit 1)