Rectangle¶

class photonforge.Rectangle(corner1=None, corner2=None, center=None, size=None, rotation=0)¶

Rectangular geometric object.

Parameters:

corner1 – Pair of coordinates (or complex number) for the first corner of the rectangle.
corner2 – Pair of coordinates (or complex number) for the second corner of the rectangle.
center – Pair of coordinates (or complex number) for the center of the rectangle.
rotation – Rotation angle around the center (in degrees).
size – Pair of dimensions (or complex number) for the size of the rectangle.

Example

>>> rect1 = Rectangle((0, 0), (2, 1))  # corners
>>> rect2 = Rectangle(center=(1, 0.5), size=(2, 1))  # center/size

Methods

`area`()	Structure area.
`bounds`()	Calculate the structure bounds
`copy`()	Create a copy of this structure.
`mirror`([axis_endpoint, axis_origin])	Mirror this structure.
`rotate`(rotation[, center])	Rotate this structure.
`scale`(scaling[, center])	Scale this structure.
`to_polygon`()	Create a Polygon from this structure.
`transform`([translation, rotation, scaling, ...])	Apply a transformation to this structure: `self = translate(rotate(mirror(scale(self))))`
`translate`(translation)	Translate this structure.

Attributes

`center`	Center of the rectangle.
`rotation`	Rotation angle of rectangle (in degrees).
`size`	Size of the rectangle.
`x_max`	Upper bound in the x axis.
`x_mid`	Bounding box center in the x axis.
`x_min`	Lower bound in the x axis.
`y_max`	Upper bound in the y axis.
`y_mid`	Bounding box center in the y axis.
`y_min`	Lower bound in the y axis.

area()¶

Structure area.

Returns:: Area of the structure.

bounds()¶

Calculate the structure bounds

Returns:: The lower-left and upper-right corners of the bounding box of the structure: ((min_x, min_y), (max_x, max_y)).

Example

>>> polygon = Polygon([(0, 1), (1, 2), (3, -1)])
>>> bounds = polygon.bounds()
>>> print(bounds)
((0.0, -1.0), (3.0, 2.0))

center¶: Center of the rectangle.

copy()¶

Create a copy of this structure.

Returns:: New copy.

mirror(axis_endpoint=(1, 0), axis_origin=(0, 0))¶

Mirror this structure.

Parameters:

axis_endpoint – Mirror axis endpoint.
axis_origin – Mirror axis origin.

Returns:

This object.

rotate(rotation, center=(0, 0))¶

Rotate this structure.

Parameters:

rotation – Rotation angle in degrees.
center – Center of rotation.

Returns:

This object.

rotation¶: Rotation angle of rectangle (in degrees).

scale(scaling, center=(0, 0))¶

Scale this structure.

Parameters:

scaling – Magnification factor.
center – Center of scaling.

Returns:

This object.

size¶: Size of the rectangle.

to_polygon()¶

Create a Polygon from this structure.

Returns:: New polygon instance.

Examples

>>> rectangle = Rectangle((0, 0), (2, 1), rotation=45)
>>> polygon = rectangle.to_polygon()

>>> circle = Circle(5, (0, 0), inner_radius=3)
>>> polygon = circle.to_polygon()

>>> path = Path((0, 0), 0.5).s_bend((10, 2))
>>> polygon = path.to_polygon()

transform(translation=(0, 0), rotation=0, scaling=1, x_reflection=False)¶

Apply a transformation to this structure: self = translate(rotate(mirror(scale(self))))

Parameters:

translation – Coordinate pair used as a translation vector.
rotation – Rotation angle in degrees.
scaling – Magnification factor.
x_reflection – Mirror across the horizontal axis.

Returns:

This object.

translate(translation)¶

Translate this structure.

Parameters:: translation – Coordinate pair used as a translation vector.
Returns:: This object.

x_max¶: Upper bound in the x axis.

x_mid¶: Bounding box center in the x axis.

x_min¶: Lower bound in the x axis.

y_max¶: Upper bound in the y axis.

y_mid¶: Bounding box center in the y axis.

y_min¶: Lower bound in the y axis.