code: def test_GrowableGrid():
      grid = _GrowableGrid(1, 2)
  
      # Check dimensions.
      assert grid.width == 1
      assert grid.height == 2
  
      # Check initialization of elements.
      assert grid[0, 0] is None
      assert grid[1, 0] is None
  
      # Check assignment to elements.
      grid[0, 0] = 1
      grid[1, 0] = "two"
  
      assert grid[0, 0] == 1
      assert grid[1, 0] == "two"
  
      # Check appending a row.
      grid.append_row()
  
      assert grid.width == 1
      assert grid.height == 3
  
      assert grid[0, 0] == 1
      assert grid[1, 0] == "two"
      assert grid[2, 0] is None
  
      # Check appending a column.
      grid.append_column()
      assert grid.width == 2
      assert grid.height == 3
  
      assert grid[0, 0] == 1
      assert grid[1, 0] == "two"
      assert grid[2, 0] is None
  
      assert grid[0, 1] is None
      assert grid[1, 1] is None
      assert grid[2, 1] is None
  
      grid = _GrowableGrid(1, 2)
      grid[0, 0] = 1
      grid[1, 0] = "two"
  
      # Check prepending a row.
      grid.prepend_row()
      assert grid.width == 1
      assert grid.height == 3
  
      assert grid[0, 0] is None
      assert grid[1, 0] == 1
      assert grid[2, 0] == "two"
  
      # Check prepending a column.
      grid.prepend_column()
      assert grid.width == 2
      assert grid.height == 3
  
      assert grid[0, 0] is None
      assert grid[1, 0] is None
      assert grid[2, 0] is None
  
      assert grid[0, 1] is None
      assert grid[1, 1] == 1
      assert grid[2, 1] == "two"
  
file_path: sympy/sympy/categories/tests/test_drawing.py
imports: from sympy.categories.diagram_drawing import _GrowableGrid, ArrowStringDescription
  from sympy.categories import DiagramGrid, Object, NamedMorphism, Diagram, XypicDiagramDrawer, xypic_draw_diagram
  from sympy.sets.sets import FiniteSet
label_desc: Use image node_id 1 for calling a global function with example usage: test_GrowableGrid() without return types