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Plot the autocorrelation of *x*.
Parameters
----------
x : array-like
detrend : callable, default: `.mlab.detrend_none` (no detrending)
A detrending function applied to *x*. It must have the
signature ::
detrend(x: np.ndarray) -> np.ndarray
normed : bool, default: True
If ``True``, input vectors are normalised to unit length.
usevlines : bool, default: True
Determines the plot style.
If ``True``, vertical lines are plotted from 0 to the acorr value
using `.Axes.vlines`. Additionally, a horizontal line is plotted
at y=0 using `.Axes.axhline`.
If ``False``, markers are plotted at the acorr values using
`.Axes.plot`.
maxlags : int, default: 10
Number of lags to show. If ``None``, will return all
``2 * len(x) - 1`` lags.
Returns
-------
lags : array (length ``2*maxlags+1``)
The lag vector.
c : array (length ``2*maxlags+1``)
The auto correlation vector.
line : `.LineCollection` or `.Line2D`
`.Artist` added to the Axes of the correlation:
- `.LineCollection` if *usevlines* is True.
- `.Line2D` if *usevlines* is False.
b : `.Line2D` or None
Horizontal line at 0 if *usevlines* is True
None *usevlines* is False.
Other Parameters
----------------
linestyle : `.Line2D` property, optional
The linestyle for plotting the data points.
Only used if *usevlines* is ``False``.
marker : str, default: 'o'
The marker for plotting the data points.
Only used if *usevlines* is ``False``.
**kwargs
Additional parameters are passed to `.Axes.vlines` and
`.Axes.axhline` if *usevlines* is ``True``; otherwise they are
passed to `.Axes.plot`.
Notes
-----
The cross correlation is performed with `numpy.correlate` with
``mode = "full"``.
.. note::
In addition to the above described arguments, this function can take
a *data* keyword argument. If such a *data* argument is given,
the following arguments can also be string ``s``, which is
interpreted as ``data[s]`` (unless this raises an exception):
*x*.
Objects passed as **data** must support item access (``data[s]``) and
membership test (``s in data``).
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