chore: init examples test action

.github/workflows/tests.yml

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+name: Examples Test
+on:
+  push:
+    branches:
+      - main
+      - '*.x'
+    paths-ignore:
+      - '*.md'
+  pull_request:
+    paths-ignore:
+      - '*.md'
+jobs:
+  local-tests:
+    name: Local-Ubuntu20.04-Python${{ matrix.python }}
+    runs-on: ubuntu-20.04
+    strategy:
+      fail-fast: false
+      matrix:
+        include:
+          - {python: '3.13'}
+          - {python: '3.12'}
+          - {python: '3.11'}
+          - {python: '3.10'}
+          - {python: '3.9'}
+          - {python: '3.8'}
+    steps:
+      - name: Checkout Code Repository
+        uses: actions/checkout@v4
+
+      - name: Install GCC and Make
+        run: sudo apt-get update && sudo apt-get install -y build-essential
+
+      - name: Set up Python
+        uses: actions/setup-python@v5
+        with:
+          python-version: ${{ matrix.python }}
+          cache: pip
+          cache-dependency-path: requirements.txt
+
+      - name: Install Dependencies
+        run: |
+          python -m pip install --upgrade pip
+          pip install -r requirements.txt
+
+      - name: Run Tests
+        run: pytest -vs -n auto
+
+  container-tests:
+    name: Container gcc Docker image Tests
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout Code Repository
+        uses: actions/checkout@v4
+
+      - name: Set up Docker
+        run: |
+          docker pull gcc:latest
+
+      - name: Run tests in Docker
+        run: |
+          docker run --rm \
+            -v ${{ github.workspace }}:/app \
+            -w /app \
+            gcc:latest \
+            sh -c "pip install -r requirements.txt && pytest -vs -n auto"

requirements.txt

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+colorama==0.4.6 ; python_version >= "3.8" and python_version < "4.0" and sys_platform == "win32"
+exceptiongroup==1.2.2 ; python_version >= "3.8" and python_version < "3.11"
+execnet==2.1.1 ; python_version >= "3.8" and python_version < "4.0"
+iniconfig==2.0.0 ; python_version >= "3.8" and python_version < "4.0"
+mpmath==1.3.0 ; python_version >= "3.8" and python_version < "4.0"
+objprint==0.2.3 ; python_version >= "3.8" and python_version < "4.0"
+packaging==24.1 ; python_version >= "3.8" and python_version < "4.0"
+pexpect==4.9.0 ; python_version >= "3.8" and python_version < "4.0"
+pluggy==1.5.0 ; python_version >= "3.8" and python_version < "4.0"
+ptyprocess==0.7.0 ; python_version >= "3.8" and python_version < "4.0"
+pytest-xdist==3.6.1 ; python_version >= "3.8" and python_version < "4.0"
+pytest==8.3.2 ; python_version >= "3.8" and python_version < "4.0"
+sympy==1.13.1 ; python_version >= "3.8" and python_version < "4.0"
+toml==0.10.2 ; python_version >= "3.8" and python_version < "4.0"
+tomli==2.0.1 ; python_version >= "3.8" and python_version < "3.11"