aidl/teapot/teapot0


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teapot0 image
                
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.