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Imports: math, numpy, _ni_support, _nd_image, doccer, docfiller
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Calculate a one-dimensional correlation along the given axis.
The lines of the array along the given axis are correlated with the
given weights.
Parameters
----------
input : array-like
input array to filter
weights : array
one-dimensional sequence of numbers
axis : integer, optional
axis of ``input`` along which to calculate. Default is -1
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
|
Calculate a one-dimensional convolution along the given axis.
The lines of the array along the given axis are convolved with the
given weights.
Parameters
----------
input : array-like
input array to filter
weights : ndarray
one-dimensional sequence of numbers
axis : integer, optional
axis of ``input`` along which to calculate. Default is -1
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
|
One-dimensional Gaussian filter.
Parameters
----------
input : array-like
input array to filter
sigma : scalar
standard deviation for Gaussian kernel
axis : integer, optional
axis of ``input`` along which to calculate. Default is -1
order : {0, 1, 2, 3}, optional
An order of 0 corresponds to convolution with a Gaussian
kernel. An order of 1, 2, or 3 corresponds to convolution with
the first, second or third derivatives of a Gaussian. Higher
order derivatives are not implemented
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
|
Multi-dimensional Gaussian filter.
Parameters
----------
input : array-like
input array to filter
sigma : scalar or sequence of scalars
standard deviation for Gaussian kernel. The standard
deviations of the Gaussian filter are given for each axis as a
sequence, or as a single number, in which case it is equal for
all axes.
order : {0, 1, 2, 3} or sequence from same set, optional
The order of the filter along each axis is given as a sequence
of integers, or as a single number. An order of 0 corresponds
to convolution with a Gaussian kernel. An order of 1, 2, or 3
corresponds to convolution with the first, second or third
derivatives of a Gaussian. Higher order derivatives are not
implemented
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
Notes
-----
The multi-dimensional filter is implemented as a sequence of
one-dimensional convolution filters. The intermediate arrays are
stored in the same data type as the output. Therefore, for output
types with a limited precision, the results may be imprecise
because intermediate results may be stored with insufficient
precision.
|
Calculate a Prewitt filter.
Parameters
----------
input : array-like
input array to filter
axis : integer, optional
axis of ``input`` along which to calculate. Default is -1
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
|
Calculate a Sobel filter.
Parameters
----------
input : array-like
input array to filter
axis : integer, optional
axis of ``input`` along which to calculate. Default is -1
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
|
Calculate a multidimensional laplace filter using the provided
second derivative function.
Parameters
----------
input : array-like
input array to filter
derivative2 : callable
Callable with the following signature::
derivative2(input, axis, output, mode, cval,
*extra_arguments, **extra_keywords)
See ``extra_arguments``, ``extra_keywords`` below
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
extra_keywords : dict, optional
dict of extra keyword arguments to pass to passed function
extra_arguments : sequence, optional
Sequence of extra positional arguments to pass to passed function
|
Calculate a multidimensional laplace filter using an estimation
for the second derivative based on differences.
Parameters
----------
input : array-like
input array to filter
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
|
Calculate a multidimensional laplace filter using gaussian
second derivatives.
Parameters
----------
input : array-like
input array to filter
sigma : scalar or sequence of scalars
The standard deviations of the Gaussian filter are given for
each axis as a sequence, or as a single number, in which case
it is equal for all axes..
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
|
Calculate a gradient magnitude using the provided function for
the gradient.
Parameters
----------
input : array-like
input array to filter
derivative : callable
Callable with the following signature::
derivative(input, axis, output, mode, cval,
*extra_arguments, **extra_keywords)
See ``extra_arguments``, ``extra_keywords`` below
``derivative`` can assume that ``input`` and ``output`` are
ndarrays.
Note that the output from ``derivative`` is modified inplace;
be careful to copy important inputs before returning them.
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
extra_keywords : dict, optional
dict of extra keyword arguments to pass to passed function
extra_arguments : sequence, optional
Sequence of extra positional arguments to pass to passed function
|
Calculate a multidimensional gradient magnitude using gaussian
derivatives.
Parameters
----------
input : array-like
input array to filter
sigma : scalar or sequence of scalars
The standard deviations of the Gaussian filter are given for
each axis as a sequence, or as a single number, in which case
it is equal for all axes..
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
|
Multi-dimensional correlation.
The array is correlated with the given kernel.
Parameters
----------
input : array-like
input array to filter
weights : ndarray
array of weights, same number of dimensions as input
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter.
Default 0
See Also
--------
convolve : Convolve an image with a kernel.
|
Multi-dimensional convolution.
The array is convolved with the given kernel.
Parameters
----------
input : array_like
Input array to filter.
weights : array_like
Array of weights, same number of dimensions as input
output : ndarray, optional
The `output` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
the `mode` parameter determines how the array borders are
handled. For 'constant' mode, values beyond borders are set to be
`cval`. Default is 'reflect'.
cval : scalar, optional
Value to fill past edges of input if `mode` is 'constant'. Default
is 0.0
origin : scalar, optional
The `origin` parameter controls the placement of the filter.
Default is 0.
Returns
-------
result : ndarray
The result of convolution of `input` with `weights`.
See Also
--------
correlate : Correlate an image with a kernel.
Notes
-----
Each value in result is :math:`C_i = \sum_j{I_{i+j-k} W_j}`, where
W is the `weights` kernel,
j is the n-D spatial index over :math:`W`,
I is the `input` and k is the coordinate of the center of
W, specified by `origin` in the input parameters.
Examples
--------
Perhaps the simplest case to understand is ``mode='constant', cval=0.0``,
because in this case borders (i.e. where the `weights` kernel, centered
on any one value, extends beyond an edge of `input`.
>>> a = np.array([[1, 2, 0, 0],
.... [5, 3, 0, 4],
.... [0, 0, 0, 7],
.... [9, 3, 0, 0]])
>>> b = np.array([[1,1,1],[1,1,0],[1,0,0]])
>>> from stsci import ndimage
>>> ndimage.convolve(a, k, mode='constant', cval=0.0)
array([[11, 10, 7, 4],
[10, 3, 11, 11],
[15, 12, 14, 7],
[12, 3, 7, 0]])
Setting ``cval=1.0`` is equivalent to padding the outer edge of `input`
with 1.0's (and then extracting only the original region of the result).
>>> ndimage.convolve(a, k, mode='constant', cval=1.0)
array([[13, 11, 8, 7],
[11, 3, 11, 14],
[16, 12, 14, 10],
[15, 6, 10, 5]])
With ``mode='reflect'`` (the default), outer values are reflected at the
edge of `input` to fill in missing values.
>>> b = np.array([[2, 0, 0],
[1, 0, 0],
[0, 0, 0]])
>>> k = np.array([[0,1,0],[0,1,0],[0,1,0]])
array([[5, 0, 0],
[3, 0, 0],
[1, 0, 0]])
This includes diagonally at the corners.
>>> k = np.array([[1,0,0],[0,1,0],[0,0,1]])
>>> ndimage.convolve(b, k)
array([[4, 2, 0],
[3, 2, 0],
[1, 1, 0]])
With ``mode='nearest'``, the single nearest value in to an edge in
`input` is repeated as many times as needed to match the overlapping
`weights`.
>>> c = np.array([[2, 0, 1],
[1, 0, 0],
[0, 0, 0]])
>>> k = np.array([[0, 1, 0],
[0, 1, 0],
[0, 1, 0],
[0, 1, 0],
[0, 1, 0]])
>>> ndimage.convolve(c, k, mode='nearest')
array([[7, 0, 3],
[5, 0, 2],
[3, 0, 1]])
|
Calculate a one-dimensional uniform filter along the given axis.
The lines of the array along the given axis are filtered with a
uniform filter of given size.
Parameters
----------
input : array-like
input array to filter
size : integer
length of uniform filter
axis : integer, optional
axis of ``input`` along which to calculate. Default is -1
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
|
Multi-dimensional uniform filter.
Parameters
----------
input : array-like
input array to filter
size : int or sequence of ints
The sizes of the uniform filter are given for each axis as a
sequence, or as a single number, in which case the size is
equal for all axes.
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
Notes
-----
The multi-dimensional filter is implemented as a sequence of
one-dimensional uniform filters. The intermediate arrays are stored
in the same data type as the output. Therefore, for output types
with a limited precision, the results may be imprecise because
intermediate results may be stored with insufficient precision.
|
Calculate a one-dimensional minimum filter along the given axis.
The lines of the array along the given axis are filtered with a
minimum filter of given size.
Parameters
----------
input : array-like
input array to filter
size : int
length along which to calculate 1D minimum
axis : integer, optional
axis of ``input`` along which to calculate. Default is -1
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
|
Calculate a one-dimensional maximum filter along the given axis.
The lines of the array along the given axis are filtered with a
maximum filter of given size.
Parameters
----------
input : array-like
input array to filter
size : int
length along which to calculate 1D maximum
axis : integer, optional
axis of ``input`` along which to calculate. Default is -1
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
|
Calculates a multi-dimensional minimum filter.
Parameters
----------
input : array-like
input array to filter
size : scalar or tuple, optional
See footprint, below
footprint : array, optional
Either ``size`` or ``footprint`` must be defined. ``size`` gives
the shape that is taken from the input array, at every element
position, to define the input to the filter function.
``footprint`` is a boolean array that specifies (implicitly) a
shape, but also which of the elements within this shape will get
passed to the filter function. Thus ``size=(n,m)`` is equivalent
to ``footprint=np.ones((n,m))``. We adjust ``size`` to the number
of dimensions of the input array, so that, if the input array is
shape (10,10,10), and ``size`` is 2, then the actual size used is
(2,2,2).
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
|
Calculates a multi-dimensional maximum filter.
Parameters
----------
input : array-like
input array to filter
size : scalar or tuple, optional
See footprint, below
footprint : array, optional
Either ``size`` or ``footprint`` must be defined. ``size`` gives
the shape that is taken from the input array, at every element
position, to define the input to the filter function.
``footprint`` is a boolean array that specifies (implicitly) a
shape, but also which of the elements within this shape will get
passed to the filter function. Thus ``size=(n,m)`` is equivalent
to ``footprint=np.ones((n,m))``. We adjust ``size`` to the number
of dimensions of the input array, so that, if the input array is
shape (10,10,10), and ``size`` is 2, then the actual size used is
(2,2,2).
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
|
|
Calculates a multi-dimensional rank filter.
Parameters
----------
input : array-like
input array to filter
rank : integer
The rank parameter may be less then zero, i.e., rank = -1
indicates the largest element.
size : scalar or tuple, optional
See footprint, below
footprint : array, optional
Either ``size`` or ``footprint`` must be defined. ``size`` gives
the shape that is taken from the input array, at every element
position, to define the input to the filter function.
``footprint`` is a boolean array that specifies (implicitly) a
shape, but also which of the elements within this shape will get
passed to the filter function. Thus ``size=(n,m)`` is equivalent
to ``footprint=np.ones((n,m))``. We adjust ``size`` to the number
of dimensions of the input array, so that, if the input array is
shape (10,10,10), and ``size`` is 2, then the actual size used is
(2,2,2).
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
|
Calculates a multi-dimensional median filter.
Parameters
----------
input : array-like
input array to filter
size : scalar or tuple, optional
See footprint, below
footprint : array, optional
Either ``size`` or ``footprint`` must be defined. ``size`` gives
the shape that is taken from the input array, at every element
position, to define the input to the filter function.
``footprint`` is a boolean array that specifies (implicitly) a
shape, but also which of the elements within this shape will get
passed to the filter function. Thus ``size=(n,m)`` is equivalent
to ``footprint=np.ones((n,m))``. We adjust ``size`` to the number
of dimensions of the input array, so that, if the input array is
shape (10,10,10), and ``size`` is 2, then the actual size used is
(2,2,2).
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter.
Default 0
|
Calculates a multi-dimensional percentile filter.
Parameters
----------
input : array-like
input array to filter
percentile : scalar
The percentile parameter may be less then zero, i.e.,
percentile = -20 equals percentile = 80
size : scalar or tuple, optional
See footprint, below
footprint : array, optional
Either ``size`` or ``footprint`` must be defined. ``size`` gives
the shape that is taken from the input array, at every element
position, to define the input to the filter function.
``footprint`` is a boolean array that specifies (implicitly) a
shape, but also which of the elements within this shape will get
passed to the filter function. Thus ``size=(n,m)`` is equivalent
to ``footprint=np.ones((n,m))``. We adjust ``size`` to the number
of dimensions of the input array, so that, if the input array is
shape (10,10,10), and ``size`` is 2, then the actual size used is
(2,2,2).
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
|
Calculate a one-dimensional filter along the given axis.
generic_filter1d iterates over the lines of the array, calling the
given function at each line. The arguments of the line are the
input line, and the output line. The input and output lines are 1D
double arrays. The input line is extended appropriately according
to the filter size and origin. The output line must be modified
in-place with the result.
Parameters
----------
input : array-like
input array to filter
function : callable
function to apply along given axis
filter_size : scalar
length of the filter
axis : integer, optional
axis of ``input`` along which to calculate. Default is -1
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
extra_arguments : sequence, optional
Sequence of extra positional arguments to pass to passed function
extra_keywords : dict, optional
dict of extra keyword arguments to pass to passed function
|
Calculates a multi-dimensional filter using the given function.
At each element the provided function is called. The input values
within the filter footprint at that element are passed to the function
as a 1D array of double values.
Parameters
----------
input : array-like
input array to filter
function : callable
function to apply at each element
size : scalar or tuple, optional
See footprint, below
footprint : array, optional
Either ``size`` or ``footprint`` must be defined. ``size`` gives
the shape that is taken from the input array, at every element
position, to define the input to the filter function.
``footprint`` is a boolean array that specifies (implicitly) a
shape, but also which of the elements within this shape will get
passed to the filter function. Thus ``size=(n,m)`` is equivalent
to ``footprint=np.ones((n,m))``. We adjust ``size`` to the number
of dimensions of the input array, so that, if the input array is
shape (10,10,10), and ``size`` is 2, then the actual size used is
(2,2,2).
output : array, optional
The ``output`` parameter passes an array in which to store the
filter output.
mode : {'reflect','constant','nearest','mirror', 'wrap'}, optional
The ``mode`` parameter determines how the array borders are
handled, where ``cval`` is the value when mode is equal to
'constant'. Default is 'reflect'
cval : scalar, optional
Value to fill past edges of input if ``mode`` is 'constant'. Default
is 0.0
origin : scalar, optional
The ``origin`` parameter controls the placement of the filter. Default 0
extra_arguments : sequence, optional
Sequence of extra positional arguments to pass to passed function
extra_keywords : dict, optional
dict of extra keyword arguments to pass to passed function
|
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_axis_doc
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_output_doc
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_size_foot_doc
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_mode_doc
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_cval_doc
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_origin_doc
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_extra_arguments_doc
|
_extra_keywords_doc
|
docdict
|
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