## aidl/teapot/teapot0

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###
CLIP Score: 30.93

    from AIDL import *

    def teapot(
        body_radius: float = 3.0*inches,
        body_height: float = 5.0*inches,
        spout_length: float = 2.0*inches,
        handle_width: float = 1.0*inch,
        handle_height: float = 3.0*inches,
        lid_radius: float = 2.5*inches,
        lid_height: float = 1.0*inch
    ):
        """
        Creates a basic teapot with a main body, spout, lid, and handle.
        """

        # Structures
        teapot = Solid()
        body = Solid()
        lid = Solid()
        spout = Solid()
        handle = Solid()

        # Hierarchical Relationships
        teapot.body = body
        teapot.lid = lid
        teapot.spout = spout
        teapot.handle = handle

        # Compositional Constraints
        teapot.AddConstraint(body.bb.horizontal_center == teapot.bb.horizontal_center)
        teapot.AddConstraint(lid.bb.horizontal_center == body.bb.horizontal_center)
        teapot.AddConstraint(lid.bb.bottom == body.bb.top)
        teapot.AddConstraint(spout.bb.horizontal_center == body.bb.horizontal_center + body_radius)
        teapot.AddConstraint(spout.bb.vertical_center == body.bb.vertical_center + (body_height/4))
        teapot.AddConstraint(handle.bb.horizontal_center == body.bb.horizontal_center - body_radius)
        teapot.AddConstraint(handle.bb.vertical_center == body.bb.vertical_center)

        # Body Geometry
        body.main = RoundedRectangle((0, 0), 2*body_radius, body_height, body_radius/5)

        # Lid Geometry
        lid.base = Circle((0, -lid_height/2), lid_radius)
        lid.knob = Circle((0, lid_height/2), lid_radius / 5)

        # Spout Geometry
        spout.main = RoundedRectangle((0, 0), spout_length, body_radius/2, body_radius/10)

        # Handle Geometry
        handle.main = Arc((0, 0), 180, 360, body_radius/2)

        return teapot

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

    Creating a teapot using AIDL is a fun and challenging task! Here's a high-level breakdown of the structure and components we might include:

    1. **Body**: The main solid part of the teapot.
    2. **Lid**: A removable lid, which includes a handle.
    3. **Spout**: An attachment that allows pouring liquid.
    4. **Handle**: A structure for holding the teapot.

    Let's start with the structures and their hierarchical relationships. We will then define the necessary constraints and geometry step-by-step.

    Here's the initial approach skeleton for the AIDL program for a teapot:

    ```python
    from AIDL import *

    def teapot(
        body_radius: float = 3.0*inches,
        body_height: float = 5.0*inches,
        spout_length: float = 2.0*inches,
        handle_width: float = 1.0*inch,
        handle_height: float = 3.0*inches,
        lid_radius: float = 2.5*inches,
        lid_height: float = 1.0*inch
    ):
        """
        Creates a basic teapot with a main body, spout, lid, and handle.
        """

        # Structures
        teapot = Solid()
        body = Solid()
        lid = Solid()
        spout = Solid()
        handle = Solid()

        # Hierarchical Relationships
        teapot.body = body
        teapot.lid = lid
        teapot.spout = spout
        teapot.handle = handle

        # Compositional Constraints
        # Align the body, lid, spout, and handle in the frame of the teapot
        teapot.AddConstraint(body.bb.horizontal_center == teapot.bb.horizontal_center)
        teapot.AddConstraint(lid.bb.horizontal_center == body.bb.horizontal_center)
        teapot.AddConstraint(lid.bb.bottom == body.bb.top)
        teapot.AddConstraint(spout.bb.horizontal_center == body.bb.horizontal_center + body_radius)
        teapot.AddConstraint(spout.bb.vertical_center == body.bb.vertical_center + (body_height/4))
        teapot.AddConstraint(handle.bb.horizontal_center == body.bb.horizontal_center - body_radius)
        teapot.AddConstraint(handle.bb.vertical_center == body.bb.vertical_center)

        return teapot

    with AIDL_2D:
        model = teapot()
    print(model.Solve())
    model.Render()
    ```

    This skeleton sets up the basic structure and relationships. Next, we'll define the geometry for each component.

    ### Geometry and Constraints

    1. **Body Geometry**: The main body of the teapot as a rounded rectangle.
    2. **Lid Geometry**: The lid will be a circle with a small handle (knob).
    3. **Spout Geometry**: The spout is a simple open cylinder.
    4. **Handle Geometry**: The handle is an arc.

    Here's the extended code with detailed geometry and constraints:

    ```python
    from AIDL import *

    def teapot(
        body_radius: float = 3.0*inches,
        body_height: float = 5.0*inches,
        spout_length: float = 2.0*inches,
        handle_width: float = 1.0*inch,
        handle_height: float = 3.0*inches,
        lid_radius: float = 2.5*inches,
        lid_height: float = 1.0*inch
    ):
        """
        Creates a basic teapot with a main body, spout, lid, and handle.
        """

        # Structures
        teapot = Solid()
        body = Solid()
        lid = Solid()
        spout = Solid()
        handle = Solid()

        # Hierarchical Relationships
        teapot.body = body
        teapot.lid = lid
        teapot.spout = spout
        teapot.handle = handle

        # Compositional Constraints
        teapot.AddConstraint(body.bb.horizontal_center == teapot.bb.horizontal_center)
        teapot.AddConstraint(lid.bb.horizontal_center == body.bb.horizontal_center)
        teapot.AddConstraint(lid.bb.bottom == body.bb.top)
        teapot.AddConstraint(spout.bb.horizontal_center == body.bb.horizontal_center + body_radius)
        teapot.AddConstraint(spout.bb.vertical_center == body.bb.vertical_center + (body_height/4))
        teapot.AddConstraint(handle.bb.horizontal_center == body.bb.horizontal_center - body_radius)
        teapot.AddConstraint(handle.bb.vertical_center == body.bb.vertical_center)

        # Body Geometry
        body.main = RoundedRectangle((0, 0), 2*body_radius, body_height, body_radius/5)

        # Lid Geometry
        lid.base = Circle((0, -lid_height/2), lid_radius)
        lid.knob = Circle((0, lid_height/2), lid_radius / 5)

        # Spout Geometry
        spout.main = RoundedRectangle((0, 0), spout_length, body_radius/2, body_radius/10)

        # Handle Geometry
        handle.main = Arc((0, 0), 180, 360, body_radius/2)

        return teapot

    with AIDL_2D:
        model = teapot()
    print(model.Solve())
    model.Render()
    ```

    This code should provide a basic visualization of a teapot with a body, lid, spout, and handle. Each component has its own geometry and constraints to ensure proper alignment.

    If you have specific dimensions, shapes, or additional features in mind, let me know, and we can refine the model further.