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unique(ar, return_index=False, return_inverse=False, return_counts=False, axis=None)

Returns the sorted unique elements of an array. There are three optional outputs in addition to the unique elements:

the indices of the input array that give the unique values
the indices of the unique array that reconstruct the input array
the number of times each unique value comes up in the input array

Notes

When an axis is specified the subarrays indexed by the axis are sorted. This is done by making the specified axis the first dimension of the array (move the axis to the first dimension to keep the order of the other axes) and then flattening the subarrays in C order. The flattened subarrays are then viewed as a structured type with each element given a label, with the effect that we end up with a 1-D array of structured types that can be treated in the same way as any other 1-D array. The result is that the flattened subarrays are sorted in lexicographic order starting with the first element.

            <Comment: 
   |value: '.. versionchanged: NumPy 1.21\n    If nan values are in the input array, a single nan is put\n    to the end of the sorted unique values.\n\n    Also for complex arrays all NaN values are considered equivalent\n    (no matter whether the NaN is in the real or imaginary part).\n    As the representant for the returned array the smallest one in the\n    lexicographical order is chosen - see np.sort for how the lexicographical\n    order is defined for complex arrays.'
   |>

Parameters

ar : array_like: Input array. Unless :None:None:`axis` is specified, this will be flattened if it is not already 1-D.
return_index : bool, optional: If True, also return the indices of :None:None:`ar` (along the specified axis, if provided, or in the flattened array) that result in the unique array.
return_inverse : bool, optional: If True, also return the indices of the unique array (for the specified axis, if provided) that can be used to reconstruct :None:None:`ar`.
return_counts : bool, optional: If True, also return the number of times each unique item appears in :None:None:`ar`.

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axis : int or None, optional: The axis to operate on. If None, :None:None:`ar` will be flattened. If an integer, the subarrays indexed by the given axis will be flattened and treated as the elements of a 1-D array with the dimension of the given axis, see the notes for more details. Object arrays or structured arrays that contain objects are not supported if the :None:None:`axis` kwarg is used. The default is None.

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Returns

unique : ndarray: The sorted unique values.
unique_indices : ndarray, optional: The indices of the first occurrences of the unique values in the original array. Only provided if :None:None:`return_index` is True.
unique_inverse : ndarray, optional: The indices to reconstruct the original array from the unique array. Only provided if :None:None:`return_inverse` is True.
unique_counts : ndarray, optional: The number of times each of the unique values comes up in the original array. Only provided if :None:None:`return_counts` is True.

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Find the unique elements of an array.

Examples

>>> np.unique([1, 1, 2, 2, 3, 3])
array([1, 2, 3])

>>> a = np.array([[1, 1], [2, 3]])
... np.unique(a)
array([1, 2, 3])

Return the unique rows of a 2D array

>>> a = np.array([[1, 0, 0], [1, 0, 0], [2, 3, 4]])
... np.unique(a, axis=0)
array([[1, 0, 0], [2, 3, 4]])

Return the indices of the original array that give the unique values:

>>> a = np.array(['a', 'b', 'b', 'c', 'a'])
... u, indices = np.unique(a, return_index=True)
... u
array(['a', 'b', 'c'], dtype='<U1')

>>> indices
array([0, 1, 3])

>>> a[indices]
array(['a', 'b', 'c'], dtype='<U1')

Reconstruct the input array from the unique values and inverse:

>>> a = np.array([1, 2, 6, 4, 2, 3, 2])
... u, indices = np.unique(a, return_inverse=True)
... u
array([1, 2, 3, 4, 6])

>>> indices
array([0, 1, 4, 3, 1, 2, 1])

>>> u[indices]
array([1, 2, 6, 4, 2, 3, 2])

Reconstruct the input values from the unique values and counts:

>>> a = np.array([1, 2, 6, 4, 2, 3, 2])
... values, counts = np.unique(a, return_counts=True)
... values
array([1, 2, 3, 4, 6])

>>> counts
array([1, 3, 1, 1, 1])

>>> np.repeat(values, counts)
array([1, 2, 2, 2, 3, 4, 6])    # original order not preserved

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

numpy.bincount scipy.signal._signaltools.unique_roots numpy.core._multiarray_umath.bincount numpy.repeat numpy.format_float_positional numpy.format_float_scientific numpy.digitize numpy.ma.extras.unique

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