## aidl/fancy teapot/fancy teapot9

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    from AIDL import *

    def fancy_teapot(body_radius=3*inches, body_height=4*inches, neck_radius=1*inch, lid_height=1*inch):
        """
        Creates a model of a fancy teapot with a round body, lid, spout, and handle.
        """

        # Define the teapot structure
        teapot = Solid()
        teapot.body = Solid()
        teapot.lid = Solid()
        teapot.spout = Solid()
        teapot.handle = Solid()

        # Define the body structure
        teapot.body.bottom = Circle((0,0), body_radius)
        teapot.body.side_wall = Arc((0, -body_height/2), -90, 90, body_radius + neck_radius)

        # Define the lid structure
        teapot.lid.top = Arc((0, body_height/2 + lid_height/2), 0, 180, body_radius - neck_radius)
        teapot.lid.knob = Circle((0, body_height/2 + lid_height + 0.25*inch), 0.25*inch)

        # Define the spout structure
        teapot.spout.base = Circle((body_radius + 0.25*inch, body_height/4), neck_radius)
        teapot.spout.tip = Arc((body_radius + 0.25*inch + 2*inch, body_height/4), -30, 30, 0.5*inch)

        # Define the handle structure
        teapot.handle.base = Circle((-body_radius - 0.5*inch, body_height/2), neck_radius)
        teapot.handle.loop = Arc((-body_radius - 2*inch, body_height/2), 0, 180, 1*inch)

        # Define the constraints
        teapot.AddConstraint(teapot.body.bb.horizontal_center == teapot.bb.horizontal_center)
        teapot.AddConstraint(teapot.lid.bb.horizontal_center == teapot.body.bb.horizontal_center)
        teapot.AddConstraint(teapot.spout.base.center.u == teapot.body.bb.right + 0.25*inch)
        teapot.AddConstraint(teapot.handle.base.center.u == teapot.body.bb.left - 0.5*inch)

        # Align the lid on top of the body and add the knob in the center of the lid
        teapot.AddConstraint(teapot.lid.top.center.v == teapot.body.bb.top + lid_height/2)
        teapot.AddConstraint(teapot.lid.knob.center.v == teapot.body.bb.top + lid_height + 0.25*inch)

        # Align the spout and handle vertically centered with the body
        teapot.AddConstraint(teapot.spout.base.center.v == teapot.body.bb.vertical_center)
        teapot.AddConstraint(teapot.handle.base.center.v == teapot.body.bb.vertical_center)

        return teapot

    with AIDL_2D:
        model = fancy_teapot()
    print(model.Solve())
    model.Render()
                    Please write an AIDL program to generate a fancy teapot

    Sure! Let's walk through the process of creating a "fancy teapot" in AIDL. To do this effectively, we'll break down the teapot into several key components: the body, lid, spout, and handle.

    ### Step 1: Outline the Main Components and Their Hierarchical Relationships

    - **Teapot (Solid)**
      - **Body (Solid)**
        - **Bottom (Solid)**
        - **Side Walls (Solid)**
      - **Lid (Solid)**
        - **Top (Solid)**
        - **Knob (Solid)**
      - **Spout (Solid)**
      - **Handle (Solid)**

    ### Step 2: Define Global and Local Constraints

    1. **Teapot Constraints**:
       - Align and position the various components of the teapot realistically.

    2. **Body Constraints**:
       - Ensure the base and walls form a circular shape.

    3. **Lid Constraints**:
       - Place the lid on top of the teapot body and ensure correct alignment.

    4. **Spout Constraints**:
       - Position at an angle that allows pouring effectively.

    5. **Handle Constraints**:
       - Place opposite the spout for balanced holding.

    ### Step 3: Add Geometry to Each Structure

    Let's define the geometry for each component step-by-step.

    ```python
    from AIDL import *

    def fancy_teapot(body_radius=3*inches, body_height=4*inches, neck_radius=1*inch, lid_height=1*inch):
        """
        Creates a model of a fancy teapot with a round body, lid, spout, and handle.
        """

        # Define the teapot structure
        teapot = Solid()
        teapot.body = Solid()
        teapot.lid = Solid()
        teapot.spout = Solid()
        teapot.handle = Solid()

        # Define the body structure
        teapot.body.bottom = Circle((0,0), body_radius)
        teapot.body.side_wall = Arc((0, -body_height/2), -90, 90, body_radius + neck_radius)

        # Define the lid structure
        teapot.lid.top = Arc((0, body_height/2 + lid_height/2), 0, 180, body_radius - neck_radius)
        teapot.lid.knob = Circle((0, body_height/2 + lid_height + 0.25*inch), 0.25*inch)

        # Define the spout structure
        teapot.spout.base = Circle((body_radius + 0.25*inch, body_height/4), neck_radius)
        teapot.spout.tip = Arc((body_radius + 0.25*inch + 2*inch, body_height/4), -30, 30, 0.5*inch)

        # Define the handle structure
        teapot.handle.base = Circle((-body_radius - 0.5*inch, body_height/2), neck_radius)
        teapot.handle.loop = Arc((-body_radius - 2*inch, body_height/2), 0, 180, 1*inch)

        # Define the constraints
        teapot.AddConstraint(teapot.body.bb.horizontal_center == teapot.bb.horizontal_center)
        teapot.AddConstraint(teapot.lid.bb.horizontal_center == teapot.body.bb.horizontal_center)
        teapot.AddConstraint(teapot.spout.base.center.u == teapot.body.bb.right + 0.25*inch)
        teapot.AddConstraint(teapot.handle.base.center.u == teapot.body.bb.left - 0.5*inch)

        # Align the lid on top of the body and add the knob in the center of the lid
        teapot.AddConstraint(teapot.lid.top.center.v == teapot.body.bb.top + lid_height/2)
        teapot.AddConstraint(teapot.lid.knob.center.v == teapot.body.bb.top + lid_height + 0.25*inch)

        # Align the spout and handle vertically centered with the body
        teapot.AddConstraint(teapot.spout.base.center.v == teapot.body.bb.vertical_center)
        teapot.AddConstraint(teapot.handle.base.center.v == teapot.body.bb.vertical_center)

        return teapot

    with AIDL_2D:
        model = fancy_teapot()
    print(model.Solve())
    model.Render()

    ```

    This code defines a simple model for a fancy teapot with a main body, lid, spout, and handle. Each part is given basic geometry and appropriate constraints to put them in place relative to each other. You can expand on this and add more detailed features and constraints as required to refine the design. Please let me know if you need any further adjustments or additional features in the model!