# symmetrize_pwc

Graph.symmetrize_pwc(pwc, *, name=None)

Create the symmetrization of a piecewise-constant function.

Parameters:
• pwc (Pwc) – The piecewise-constant function $$v(t)$$ to symmetrize.

• name (str or None, optional) – The name of the node.

Returns:

The piecewise-constant function $$w(t)$$ defined by $$w(t)=v(t)$$ for $$0\leq t\leq \tau$$ and $$w(t)=v(2\tau-t)$$ for $$\tau\leq t\leq 2\tau$$, where $$\tau$$ is the duration of $$v(t)$$.

Return type:

Pwc

Graph.pwc_signal

Create Pwc signals from (possibly complex) values.

Graph.time_reverse_pwc

Reverse Pwcs in time.

Notes

For more information on Pwc nodes see the Working with time-dependent functions in Boulder Opal topic.

Examples

Create a symmetric piecewise-constant function.

>>> x = graph.pwc(durations=np.array([0.1, 0.3]), values=np.array([1, 2]))
>>> graph.symmetrize_pwc(x, name="symmetrize")
<Pwc: name="symmetrize", operation_name="symmetrize_pwc", value_shape=(), batch_shape=()>
>>> result = bo.execute_graph(graph=graph, output_node_names="symmetrize")
>>> result["output"]["symmetrize"]
{
'durations': array([0.1, 0.3, 0.3, 0.1]),
'values': array([1., 2., 2., 1.]),
'time_dimension': 0
}


See more examples in the How to optimize controls with time symmetrization user guide.