aidl/fancy teapot/fancy teapot8


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fancy teapot8 image
                
from AIDL import *

def fancy_teapot(
        body_radius: float = 4 * inches,
        body_height: float = 6 * inches,
        spout_length: float = 4 * inches,
        handle_height: float = 3 * inches,
        handle_width: float = 0.5 * inches,
        lid_radius: float = 2 * inches,
        lid_height: float = 1 * inch
):
    """
    Model a fancy teapot with a rounded body, a spout, a handle, and a lid.
    """

    # Main structure of the teapot
    teapot = Solid()
    
    # Parts of the teapot
    teapot.body = Solid()
    teapot.lid = Solid()
    teapot.spout = Solid()
    teapot.handle = Solid()
    
    # Constraint relationships between the parts:
    # Make the lid sit directly on top of the body
    teapot.AddConstraint(teapot.lid.bb.bottom == teapot.body.bb.top)
    # Ensure the spout is vertically centered relative to the body's origin
    teapot.AddConstraint(teapot.spout.bb.horizontal_center == teapot.body.bb.right)
    teapot.AddConstraint(teapot.spout.bb.vertical_center == teapot.body.bb.vertical_center)
    # Horizontally align the handle with the body's origin
    teapot.AddConstraint(teapot.handle.bb.left == teapot.body.bb.left)
    teapot.AddConstraint(teapot.handle.bb.vertical_center == teapot.body.bb.vertical_center)

    # Geometry for the body (a rounded rectangle)
    teapot.body.shape = RoundedRectangle((0, 0), 2 * body_radius, body_height, body_radius / 2)

    # Geometry for the lid (a circle) and its handle (decorative circle on top)
    teapot.lid.shape = Circle((0, 0), lid_radius)
    teapot.lid.handle = Circle((0, lid_height / 2), lid_radius / 2)
    
    # Geometry for the spout (a rectangle with one rounded end, represented using Arcs)
    spout_shift = (body_radius + spout_length / 2, 0)
    teapot.spout.main_body = Rectangle(spout_shift, spout_length, body_radius / 2)
    teapot.spout.round_end = Arc(spout_shift, -90, 90, body_radius / 2)
    
    # Geometry for the handle (a rectangle for the main part and an Arc for the curved top)
    handle_shift = (-handle_width / 2, 0)
    teapot.handle.main_body = Rectangle(handle_shift, handle_width, handle_height)
    teapot.handle.curve = Arc((handle_width, 0), -90, 90, handle_height / 2)

    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 start by breaking down the components of a fancy teapot. A typical teapot consists of the following parts:
1. **Body**: The main container that holds the tea.
2. **Lid**: The cover that goes on top of the body.
3. **Spout**: The part through which tea is poured.
4. **Handle**: The part used to lift and pour the teapot.

With these components in mind, let's proceed step-by-step:
1. **Define the structures and their hierarchical relationships**.
2. **Add constraints between the structures**.
3. **Define the geometry for each structure**.

Let's start with step 1.

### Step 1: Define the Structures and Their Hierarchical Relationships

```python
from AIDL import *

def fancy_teapot(
        body_radius: float = 4 * inches,
        body_height: float = 6 * inches,
        spout_length: float = 4 * inches,
        handle_height: float = 3 * inches,
        handle_width: float = 0.5 * inches,
        lid_radius: float = 2 * inches,
        lid_height: float = 1 * inch
):
    """
    Model a fancy teapot with a rounded body, a spout, a handle, and a lid.
    """

    # Main structure of the teapot
    teapot = Solid()
    
    # Parts of the teapot
    teapot.body = Solid()
    teapot.lid = Solid()
    teapot.spout = Solid()
    teapot.handle = Solid()

    return teapot

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

### Step 2: Add Constraints Between the Structures

```python
from AIDL import *

def fancy_teapot(
        body_radius: float = 4 * inches,
        body_height: float = 6 * inches,
        spout_length: float = 4 * inches,
        handle_height: float = 3 * inches,
        handle_width: float = 0.5 * inches,
        lid_radius: float = 2 * inches,
        lid_height: float = 1 * inch
):
    """
    Model a fancy teapot with a rounded body, a spout, a handle, and a lid.
    """

    # Main structure of the teapot
    teapot = Solid()
    
    # Parts of the teapot
    teapot.body = Solid()
    teapot.lid = Solid()
    teapot.spout = Solid()
    teapot.handle = Solid()
    
    # Constraint relationships between the parts:
    # Make the lid sit directly on top of the body
    teapot.AddConstraint(teapot.lid.bb.bottom == teapot.body.bb.top)
    # Ensure the spout is vertically centered relative to the body's origin
    teapot.AddConstraint(teapot.spout.bb.horizontal_center == teapot.body.bb.right)
    teapot.AddConstraint(teapot.spout.bb.vertical_center == teapot.body.bb.vertical_center)
    # Horizontally align the handle with the body's origin
    teapot.AddConstraint(teapot.handle.bb.left == teapot.body.bb.left)
    teapot.AddConstraint(teapot.handle.bb.vertical_center == teapot.body.bb.vertical_center)

    return teapot

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

### Step 3: Define the Geometry for Each Structure
Let's define the geometric shapes for the body, lid, spout, and handle.

```python
from AIDL import *

def fancy_teapot(
        body_radius: float = 4 * inches,
        body_height: float = 6 * inches,
        spout_length: float = 4 * inches,
        handle_height: float = 3 * inches,
        handle_width: float = 0.5 * inches,
        lid_radius: float = 2 * inches,
        lid_height: float = 1 * inch
):
    """
    Model a fancy teapot with a rounded body, a spout, a handle, and a lid.
    """

    # Main structure of the teapot
    teapot = Solid()
    
    # Parts of the teapot
    teapot.body = Solid()
    teapot.lid = Solid()
    teapot.spout = Solid()
    teapot.handle = Solid()
    
    # Constraint relationships between the parts:
    # Make the lid sit directly on top of the body
    teapot.AddConstraint(teapot.lid.bb.bottom == teapot.body.bb.top)
    # Ensure the spout is vertically centered relative to the body's origin
    teapot.AddConstraint(teapot.spout.bb.horizontal_center == teapot.body.bb.right)
    teapot.AddConstraint(teapot.spout.bb.vertical_center == teapot.body.bb.vertical_center)
    # Horizontally align the handle with the body's origin
    teapot.AddConstraint(teapot.handle.bb.left == teapot.body.bb.left)
    teapot.AddConstraint(teapot.handle.bb.vertical_center == teapot.body.bb.vertical_center)

    # Geometry for the body (a rounded rectangle)
    teapot.body.shape = RoundedRectangle((0, 0), 2 * body_radius, body_height, body_radius / 2)

    # Geometry for the lid (a circle) and its handle (decorative circle on top)
    teapot.lid.shape = Circle((0, 0), lid_radius)
    teapot.lid.handle = Circle((0, lid_height / 2), lid_radius / 2)
    
    # Geometry for the spout (a rectangle with one rounded end, represented using Arcs)
    spout_shift = (body_radius + spout_length / 2, 0)
    teapot.spout.main_body = Rectangle(spout_shift, spout_length, body_radius / 2)
    teapot.spout.round_end = Arc(spout_shift, -90, 90, body_radius / 2)
    
    # Geometry for the handle (a rectangle for the main part and an Arc for the curved top)
    handle_shift = (-handle_width / 2, 0)
    teapot.handle.main_body = Rectangle(handle_shift, handle_width, handle_height)
    teapot.handle.curve = Arc((handle_width, 0), -90, 90, handle_height / 2)

    return teapot

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

This should generate the geometry for a fancy teapot with a rounded body, spout, and handle, as well as a lid with a decorative handle on top. Let me know if you have any specific adjustments or additional features you'd like to include!