Rotating and translating the model

This example shows how to rotate the model around a specified axis and point. To allow adding shapes in other planes than the default x-y plane. We also demonstrate how to translate the model.

from qtcad.builder import Builder
from qtcad.builder import Mask, Polygon, Circle, Direction

Rotation

First we create a mask with two shapes, a large base and a smaller shape on top of it.

footprint = Polygon.box(10, 10, name="base").centered()
small = Circle(name="small", center=(0, 0), radius=2)

example_mask = Mask("footprint")
example_mask.add_shape(footprint)
example_mask.add_shape(small)
Circle(name='small', id=1, radius=2, center=(0, 0))

We create a Builder with this mask, extrude the base shape and then extrude the smaller shape on top of it.

builder = (
    Builder()
    .add_mask(example_mask)
    .use_shape("base")
    .extrude(10)
    .use_shape("small")
    .extrude(2)
    .view(
        volume_labels=True,
        surfaces=True,
        angles=(-45, 0, 45),
        save="figs/unrotated_model.svg",
        font_size=20,
        zoom=0.7,
    )
)
rotation
[15:24:18] INFO     Selected shapes: [Polygon 0 'base']              builder.py:854
           INFO     Extruding shape 0 from mask 'footprint' with    builder.py:2794
                    name 'base' by 10 at z=0
           INFO     Creating new physical group with name           builder.py:2580
                    'base_bottom'
           INFO     Creating new physical group with name           builder.py:2580
                    'base_side'
           INFO     Creating new physical group with name           builder.py:2580
                    'base_top'
           INFO     Creating new physical group with name           builder.py:2580
                    'base_hull'
           INFO     Creating new physical group with name 'base'    builder.py:2580
           INFO     Setting z-coordinate to 10                       builder.py:903
           INFO     Selected shapes: [Circle 1 'small']              builder.py:854
           INFO     Extruding shape 1 from mask 'footprint' with    builder.py:2794
                    name 'small' by 2 at z=10
           INFO     Creating new physical group with name           builder.py:2580
                    'small_bottom'
           INFO     Creating new physical group with name           builder.py:2580
                    'small_side'
           INFO     Creating new physical group with name           builder.py:2580
                    'small_top'
           INFO     Creating new physical group with name           builder.py:2580
                    'small_hull'
           INFO     Fragmenting...                                fragmenter.py:218
           INFO     Creating new physical group with name 'small'   builder.py:2580
           INFO     Setting z-coordinate to 12                       builder.py:903
           INFO     Saving figure                                   builder.py:1926

Now, we rotate the model 90 degrees around the x axis, using the base shape as the point to rotate around. We then extrude the small shape again on top of the rotated base shape.

builder.rotate_model(angle=90, axis=Direction.x, around="base").extrude(2).view(
    volume_labels=True,
    angles=(-45, 0, 45),
    save="figs/rotated_model.svg",
    font_size=20,
    zoom=0.8,
    surfaces=True,
)
rotation
[15:24:19] INFO     Rotating model around [1. 0. 0.] based at        builder.py:645
                    [-4.19775326e-16 -1.88331090e-17
                    5.00000000e+00] by 90 degrees
           INFO     New z-coordinate after rotation is 10.0          builder.py:654
           INFO     Extruding shape 1 from mask 'footprint' with    builder.py:2794
                    name 'small' by 2 at z=10.0
           INFO     Creating new physical group with name           builder.py:2580
                    'small_hull'
           INFO     Fragmenting...                                fragmenter.py:218
           INFO     Setting z-coordinate to 12.0                     builder.py:903
           INFO     Saving figure                                   builder.py:1926

<qtcad.builder.builder.Builder object at 0x75dd41c3cb90>

Finally, we rotate the model 20 degrees around a tilted axis defined by the vector (1, 1, 1), again using the base shape as the point to rotate around. We then extrude the small shape in the middle of the rotated base shape.

builder.rotate_model(angle=20, axis=[1, 1, 1], around="base").set_z(5).extrude(2).view(
    volume_labels=True,
    angles=(-60, 0, 45),
    save="figs/rotated_model_arbitrary_axis.svg",
    font_size=20,
    zoom=0.8,
    surfaces=True,
    axes=3,
)
rotation
           INFO     Rotating model around [1. 1. 1.] based at        builder.py:645
                    [-8.34887715e-17 -6.82121026e-16
                    5.00000000e+00] by 20 degrees
           INFO     Could not find any points nearby to snap to.    builder.py:2309
                    Falling back to bounding box value...
           INFO     New z-coordinate after rotation is               builder.py:654
                    12.27996891767327
           INFO     Setting z-coordinate to 5                        builder.py:903
           INFO     Extruding shape 1 from mask 'footprint' with    builder.py:2794
                    name 'small' by 2 at z=5
           INFO     Creating new physical group with name           builder.py:2580
                    'small_hull'
           INFO     Fragmenting...                                fragmenter.py:218
           INFO     Setting z-coordinate to 7                        builder.py:903
           INFO     Saving figure                                   builder.py:1926

<qtcad.builder.builder.Builder object at 0x75dd41c3cb90>

Translation

We can also translate the model. As an example, we first undo the previous rotation.

builder.rotate_model(angle=-20, axis=[1, 1, 1], around="base").view(
    volume_labels=True,
    angles=(-60, 0, 45),
    save="figs/befro_rotation.svg",
    font_size=20,
    zoom=0.8,
    surfaces=True,
    axes=3,
)
rotation
[15:24:20] INFO     Rotating model around [1. 1. 1.] based at [      builder.py:645
                    5.19313470e-16 -9.63690918e-16  4.97421932e+00]
                    by -20 degrees
           INFO     New z-coordinate after rotation is               builder.py:654
                    11.998963489820566
           INFO     Saving figure                                   builder.py:1926

<qtcad.builder.builder.Builder object at 0x75dd41c3cb90>

Then, we translate the model 5 units in the x direction and then extrude a scaled down version of the circle on top of the translated base shape.

builder.translate_model((6, 0, 0)).use_shape("small").copy_shape(
    scale=0.5, name="smaller"
).extrude(2).view(
    volume_labels=True,
    angles=(-60, 0, 45),
    save="figs/translated_model.svg",
    font_size=20,
    zoom=0.8,
    surfaces=True,
    axes=3,
)
rotation
[15:24:21] INFO     Translating model by [6. 0. 0.]                  builder.py:567
           INFO     Selected shapes: [Circle 1 'small']              builder.py:854
           INFO     Extruding shape 2 from mask 'footprint' with    builder.py:2794
                    name 'smaller' by 2 at z=11.998963489820566
           INFO     Creating new physical group with name           builder.py:2580
                    'smaller_bottom'
           INFO     Creating new physical group with name           builder.py:2580
                    'smaller_side'
           INFO     Creating new physical group with name           builder.py:2580
                    'smaller_top'
           INFO     Creating new physical group with name           builder.py:2580
                    'smaller_hull'
           INFO     Fragmenting...                                fragmenter.py:218
           INFO     Creating new physical group with name 'smaller' builder.py:2580
           INFO     Setting z-coordinate to 13.998963489820566       builder.py:903
           INFO     Saving figure                                   builder.py:1926

<qtcad.builder.builder.Builder object at 0x75dd41c3cb90>

Total running time of the script: (0 minutes 4.233 seconds)

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