Box

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Box#

class discopy.monoidal.Box(name, dom, cod, **params)[source]#

Bases: discopy.cat.Box, Diagram

A box is a diagram with a name and the layer of just itself inside.

Parameters:

  • name (str) – The name of the box.

  • dom (T) – The domain of the box, i.e. the input.

  • cod (T) – The codomain of the box, i.e. the output.

  • data (any) – Extra data in the box, default is None.

  • is_dagger (bool, optional) – Whether the box is dagger.

  • draw_as_spider (bool, optional) – Whether to draw the box as a spider.

  • draw_as_wires (bool, optional) – Whether to draw the box as wires, e.g. discopy.symmetric.Swap.

  • draw_as_braid (bool, optional) – Whether to draw the box as a a braid, e.g. braided.Braid.

  • drawing_name (str, optional) – The name to use when drawing the box.

  • tikzstyle_name (str, optional) – The name of the style when tikzing the box.

  • color (str, optional) – The color to use when drawing the box, one of "white", "red", "green", "blue", "yellow", "black". Default is "red" if draw_as_spider else "white".

  • shape (str, optional) – The shape to use when drawing a spider, one of "circle", "rectangle".

Examples

>>> f = Box('f', Ty('x', 'y'), Ty('z'))
>>> assert Id(Ty('x', 'y')) >> f == f == f >> Id(Ty('z'))
>>> assert Id(Ty()) @ f == f == f @ Id(Ty())
>>> assert f == f[::-1][::-1]
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