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parrot/lib/python3.10/site-packages/scipy/cluster/_hierarchy.cpython-310-x86_64-linux-gnu.so

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parrot/lib/python3.10/site-packages/scipy/ndimage/__init__.py

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+"""
+=========================================================
+Multidimensional image processing (:mod:`scipy.ndimage`)
+=========================================================
+
+.. currentmodule:: scipy.ndimage
+
+This package contains various functions for multidimensional image
+processing.
+
+
+Filters
+=======
+
+.. autosummary::
+   :toctree: generated/
+
+   convolve - Multidimensional convolution
+   convolve1d - 1-D convolution along the given axis
+   correlate - Multidimensional correlation
+   correlate1d - 1-D correlation along the given axis
+   gaussian_filter
+   gaussian_filter1d
+   gaussian_gradient_magnitude
+   gaussian_laplace
+   generic_filter - Multidimensional filter using a given function
+   generic_filter1d - 1-D generic filter along the given axis
+   generic_gradient_magnitude
+   generic_laplace
+   laplace - N-D Laplace filter based on approximate second derivatives
+   maximum_filter
+   maximum_filter1d
+   median_filter - Calculates a multidimensional median filter
+   minimum_filter
+   minimum_filter1d
+   percentile_filter - Calculates a multidimensional percentile filter
+   prewitt
+   rank_filter - Calculates a multidimensional rank filter
+   sobel
+   uniform_filter - Multidimensional uniform filter
+   uniform_filter1d - 1-D uniform filter along the given axis
+
+Fourier filters
+===============
+
+.. autosummary::
+   :toctree: generated/
+
+   fourier_ellipsoid
+   fourier_gaussian
+   fourier_shift
+   fourier_uniform
+
+Interpolation
+=============
+
+.. autosummary::
+   :toctree: generated/
+
+   affine_transform - Apply an affine transformation
+   geometric_transform - Apply an arbitrary geometric transform
+   map_coordinates - Map input array to new coordinates by interpolation
+   rotate - Rotate an array
+   shift - Shift an array
+   spline_filter
+   spline_filter1d
+   zoom - Zoom an array
+
+Measurements
+============
+
+.. autosummary::
+   :toctree: generated/
+
+   center_of_mass - The center of mass of the values of an array at labels
+   extrema - Min's and max's of an array at labels, with their positions
+   find_objects - Find objects in a labeled array
+   histogram - Histogram of the values of an array, optionally at labels
+   label - Label features in an array
+   labeled_comprehension
+   maximum
+   maximum_position
+   mean - Mean of the values of an array at labels
+   median
+   minimum
+   minimum_position
+   standard_deviation - Standard deviation of an N-D image array
+   sum_labels - Sum of the values of the array
+   value_indices - Find indices of each distinct value in given array
+   variance - Variance of the values of an N-D image array
+   watershed_ift
+
+Morphology
+==========
+
+.. autosummary::
+   :toctree: generated/
+
+   binary_closing
+   binary_dilation
+   binary_erosion
+   binary_fill_holes
+   binary_hit_or_miss
+   binary_opening
+   binary_propagation
+   black_tophat
+   distance_transform_bf
+   distance_transform_cdt
+   distance_transform_edt
+   generate_binary_structure
+   grey_closing
+   grey_dilation
+   grey_erosion
+   grey_opening
+   iterate_structure
+   morphological_gradient
+   morphological_laplace
+   white_tophat
+
+"""
+
+# Copyright (C) 2003-2005 Peter J. Verveer
+#
+# Redistribution and use in source and binary forms, with or without
+# modification, are permitted provided that the following conditions
+# are met:
+#
+# 1. Redistributions of source code must retain the above copyright
+#    notice, this list of conditions and the following disclaimer.
+#
+# 2. Redistributions in binary form must reproduce the above
+#    copyright notice, this list of conditions and the following
+#    disclaimer in the documentation and/or other materials provided
+#    with the distribution.
+#
+# 3. The name of the author may not be used to endorse or promote
+#    products derived from this software without specific prior
+#    written permission.
+#
+# THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS
+# OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+# WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+# ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
+# DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+# DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
+# GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+# WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+from ._filters import *
+from ._fourier import *
+from ._interpolation import *
+from ._measurements import *
+from ._morphology import *
+
+# Deprecated namespaces, to be removed in v2.0.0
+from . import filters
+from . import fourier
+from . import interpolation
+from . import measurements
+from . import morphology
+
+__all__ = [s for s in dir() if not s.startswith('_')]
+
+from scipy._lib._testutils import PytestTester
+test = PytestTester(__name__)
+del PytestTester

parrot/lib/python3.10/site-packages/scipy/ndimage/_filters.py

@@ -0,0 +1,1858 @@
+# Copyright (C) 2003-2005 Peter J. Verveer
+#
+# Redistribution and use in source and binary forms, with or without
+# modification, are permitted provided that the following conditions
+# are met:
+#
+# 1. Redistributions of source code must retain the above copyright
+#    notice, this list of conditions and the following disclaimer.
+#
+# 2. Redistributions in binary form must reproduce the above
+#    copyright notice, this list of conditions and the following
+#    disclaimer in the documentation and/or other materials provided
+#    with the distribution.
+#
+# 3. The name of the author may not be used to endorse or promote
+#    products derived from this software without specific prior
+#    written permission.
+#
+# THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS
+# OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+# WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+# ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
+# DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+# DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
+# GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+# WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+from collections.abc import Iterable
+import numbers
+import warnings
+import numpy as np
+import operator
+
+from scipy._lib._util import normalize_axis_index
+from . import _ni_support
+from . import _nd_image
+from . import _ni_docstrings
+
+__all__ = ['correlate1d', 'convolve1d', 'gaussian_filter1d', 'gaussian_filter',
+           'prewitt', 'sobel', 'generic_laplace', 'laplace',
+           'gaussian_laplace', 'generic_gradient_magnitude',
+           'gaussian_gradient_magnitude', 'correlate', 'convolve',
+           'uniform_filter1d', 'uniform_filter', 'minimum_filter1d',
+           'maximum_filter1d', 'minimum_filter', 'maximum_filter',
+           'rank_filter', 'median_filter', 'percentile_filter',
+           'generic_filter1d', 'generic_filter']
+
+
+def _invalid_origin(origin, lenw):
+    return (origin < -(lenw // 2)) or (origin > (lenw - 1) // 2)
+
+
+def _complex_via_real_components(func, input, weights, output, cval, **kwargs):
+    """Complex convolution via a linear combination of real convolutions."""
+    complex_input = input.dtype.kind == 'c'
+    complex_weights = weights.dtype.kind == 'c'
+    if complex_input and complex_weights:
+        # real component of the output
+        func(input.real, weights.real, output=output.real,
+             cval=np.real(cval), **kwargs)
+        output.real -= func(input.imag, weights.imag, output=None,
+                            cval=np.imag(cval), **kwargs)
+        # imaginary component of the output
+        func(input.real, weights.imag, output=output.imag,
+             cval=np.real(cval), **kwargs)
+        output.imag += func(input.imag, weights.real, output=None,
+                            cval=np.imag(cval), **kwargs)
+    elif complex_input:
+        func(input.real, weights, output=output.real, cval=np.real(cval),
+             **kwargs)
+        func(input.imag, weights, output=output.imag, cval=np.imag(cval),
+             **kwargs)
+    else:
+        if np.iscomplexobj(cval):
+            raise ValueError("Cannot provide a complex-valued cval when the "
+                             "input is real.")
+        func(input, weights.real, output=output.real, cval=cval, **kwargs)
+        func(input, weights.imag, output=output.imag, cval=cval, **kwargs)
+    return output
+
+
+@_ni_docstrings.docfiller
+def correlate1d(input, weights, axis=-1, output=None, mode="reflect",
+                cval=0.0, origin=0):
+    """Calculate a 1-D correlation along the given axis.
+
+    The lines of the array along the given axis are correlated with the
+    given weights.
+
+    Parameters
+    ----------
+    %(input)s
+    weights : array
+        1-D sequence of numbers.
+    %(axis)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin)s
+
+    Returns
+    -------
+    result : ndarray
+        Correlation result. Has the same shape as `input`.
+
+    Examples
+    --------
+    >>> from scipy.ndimage import correlate1d
+    >>> correlate1d([2, 8, 0, 4, 1, 9, 9, 0], weights=[1, 3])
+    array([ 8, 26,  8, 12,  7, 28, 36,  9])
+    """
+    input = np.asarray(input)
+    weights = np.asarray(weights)
+    complex_input = input.dtype.kind == 'c'
+    complex_weights = weights.dtype.kind == 'c'
+    if complex_input or complex_weights:
+        if complex_weights:
+            weights = weights.conj()
+            weights = weights.astype(np.complex128, copy=False)
+        kwargs = dict(axis=axis, mode=mode, origin=origin)
+        output = _ni_support._get_output(output, input, complex_output=True)
+        return _complex_via_real_components(correlate1d, input, weights,
+                                            output, cval, **kwargs)
+
+    output = _ni_support._get_output(output, input)
+    weights = np.asarray(weights, dtype=np.float64)
+    if weights.ndim != 1 or weights.shape[0] < 1:
+        raise RuntimeError('no filter weights given')
+    if not weights.flags.contiguous:
+        weights = weights.copy()
+    axis = normalize_axis_index(axis, input.ndim)
+    if _invalid_origin(origin, len(weights)):
+        raise ValueError('Invalid origin; origin must satisfy '
+                         '-(len(weights) // 2) <= origin <= '
+                         '(len(weights)-1) // 2')
+    mode = _ni_support._extend_mode_to_code(mode)
+    _nd_image.correlate1d(input, weights, axis, output, mode, cval,
+                          origin)
+    return output
+
+
+@_ni_docstrings.docfiller
+def convolve1d(input, weights, axis=-1, output=None, mode="reflect",
+               cval=0.0, origin=0):
+    """Calculate a 1-D convolution along the given axis.
+
+    The lines of the array along the given axis are convolved with the
+    given weights.
+
+    Parameters
+    ----------
+    %(input)s
+    weights : ndarray
+        1-D sequence of numbers.
+    %(axis)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin)s
+
+    Returns
+    -------
+    convolve1d : ndarray
+        Convolved array with same shape as input
+
+    Examples
+    --------
+    >>> from scipy.ndimage import convolve1d
+    >>> convolve1d([2, 8, 0, 4, 1, 9, 9, 0], weights=[1, 3])
+    array([14, 24,  4, 13, 12, 36, 27,  0])
+    """
+    weights = weights[::-1]
+    origin = -origin
+    if not len(weights) & 1:
+        origin -= 1
+    weights = np.asarray(weights)
+    if weights.dtype.kind == 'c':
+        # pre-conjugate here to counteract the conjugation in correlate1d
+        weights = weights.conj()
+    return correlate1d(input, weights, axis, output, mode, cval, origin)
+
+
+def _gaussian_kernel1d(sigma, order, radius):
+    """
+    Computes a 1-D Gaussian convolution kernel.
+    """
+    if order < 0:
+        raise ValueError('order must be non-negative')
+    exponent_range = np.arange(order + 1)
+    sigma2 = sigma * sigma
+    x = np.arange(-radius, radius+1)
+    phi_x = np.exp(-0.5 / sigma2 * x ** 2)
+    phi_x = phi_x / phi_x.sum()
+
+    if order == 0:
+        return phi_x
+    else:
+        # f(x) = q(x) * phi(x) = q(x) * exp(p(x))
+        # f'(x) = (q'(x) + q(x) * p'(x)) * phi(x)
+        # p'(x) = -1 / sigma ** 2
+        # Implement q'(x) + q(x) * p'(x) as a matrix operator and apply to the
+        # coefficients of q(x)
+        q = np.zeros(order + 1)
+        q[0] = 1
+        D = np.diag(exponent_range[1:], 1)  # D @ q(x) = q'(x)
+        P = np.diag(np.ones(order)/-sigma2, -1)  # P @ q(x) = q(x) * p'(x)
+        Q_deriv = D + P
+        for _ in range(order):
+            q = Q_deriv.dot(q)
+        q = (x[:, None] ** exponent_range).dot(q)
+        return q * phi_x
+
+
+@_ni_docstrings.docfiller
+def gaussian_filter1d(input, sigma, axis=-1, order=0, output=None,
+                      mode="reflect", cval=0.0, truncate=4.0, *, radius=None):
+    """1-D Gaussian filter.
+
+    Parameters
+    ----------
+    %(input)s
+    sigma : scalar
+        standard deviation for Gaussian kernel
+    %(axis)s
+    order : int, optional
+        An order of 0 corresponds to convolution with a Gaussian
+        kernel. A positive order corresponds to convolution with
+        that derivative of a Gaussian.
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    truncate : float, optional
+        Truncate the filter at this many standard deviations.
+        Default is 4.0.
+    radius : None or int, optional
+        Radius of the Gaussian kernel. If specified, the size of
+        the kernel will be ``2*radius + 1``, and `truncate` is ignored.
+        Default is None.
+
+    Returns
+    -------
+    gaussian_filter1d : ndarray
+
+    Notes
+    -----
+    The Gaussian kernel will have size ``2*radius + 1`` along each axis. If
+    `radius` is None, a default ``radius = round(truncate * sigma)`` will be
+    used.
+
+    Examples
+    --------
+    >>> from scipy.ndimage import gaussian_filter1d
+    >>> import numpy as np
+    >>> gaussian_filter1d([1.0, 2.0, 3.0, 4.0, 5.0], 1)
+    array([ 1.42704095,  2.06782203,  3.        ,  3.93217797,  4.57295905])
+    >>> gaussian_filter1d([1.0, 2.0, 3.0, 4.0, 5.0], 4)
+    array([ 2.91948343,  2.95023502,  3.        ,  3.04976498,  3.08051657])
+    >>> import matplotlib.pyplot as plt
+    >>> rng = np.random.default_rng()
+    >>> x = rng.standard_normal(101).cumsum()
+    >>> y3 = gaussian_filter1d(x, 3)
+    >>> y6 = gaussian_filter1d(x, 6)
+    >>> plt.plot(x, 'k', label='original data')
+    >>> plt.plot(y3, '--', label='filtered, sigma=3')
+    >>> plt.plot(y6, ':', label='filtered, sigma=6')
+    >>> plt.legend()
+    >>> plt.grid()
+    >>> plt.show()
+
+    """
+    sd = float(sigma)
+    # make the radius of the filter equal to truncate standard deviations
+    lw = int(truncate * sd + 0.5)
+    if radius is not None:
+        lw = radius
+    if not isinstance(lw, numbers.Integral) or lw < 0:
+        raise ValueError('Radius must be a nonnegative integer.')
+    # Since we are calling correlate, not convolve, revert the kernel
+    weights = _gaussian_kernel1d(sigma, order, lw)[::-1]
+    return correlate1d(input, weights, axis, output, mode, cval, 0)
+
+
+@_ni_docstrings.docfiller
+def gaussian_filter(input, sigma, order=0, output=None,
+                    mode="reflect", cval=0.0, truncate=4.0, *, radius=None,
+                    axes=None):
+    """Multidimensional Gaussian filter.
+
+    Parameters
+    ----------
+    %(input)s
+    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 : int or sequence of ints, 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. A positive order
+        corresponds to convolution with that derivative of a Gaussian.
+    %(output)s
+    %(mode_multiple)s
+    %(cval)s
+    truncate : float, optional
+        Truncate the filter at this many standard deviations.
+        Default is 4.0.
+    radius : None or int or sequence of ints, optional
+        Radius of the Gaussian kernel. The radius are given for each axis
+        as a sequence, or as a single number, in which case it is equal
+        for all axes. If specified, the size of the kernel along each axis
+        will be ``2*radius + 1``, and `truncate` is ignored.
+        Default is None.
+    axes : tuple of int or None, optional
+        If None, `input` is filtered along all axes. Otherwise,
+        `input` is filtered along the specified axes. When `axes` is
+        specified, any tuples used for `sigma`, `order`, `mode` and/or `radius`
+        must match the length of `axes`. The ith entry in any of these tuples
+        corresponds to the ith entry in `axes`.
+
+    Returns
+    -------
+    gaussian_filter : ndarray
+        Returned array of same shape as `input`.
+
+    Notes
+    -----
+    The multidimensional filter is implemented as a sequence of
+    1-D 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.
+
+    The Gaussian kernel will have size ``2*radius + 1`` along each axis. If
+    `radius` is None, the default ``radius = round(truncate * sigma)`` will be
+    used.
+
+    Examples
+    --------
+    >>> from scipy.ndimage import gaussian_filter
+    >>> import numpy as np
+    >>> a = np.arange(50, step=2).reshape((5,5))
+    >>> a
+    array([[ 0,  2,  4,  6,  8],
+           [10, 12, 14, 16, 18],
+           [20, 22, 24, 26, 28],
+           [30, 32, 34, 36, 38],
+           [40, 42, 44, 46, 48]])
+    >>> gaussian_filter(a, sigma=1)
+    array([[ 4,  6,  8,  9, 11],
+           [10, 12, 14, 15, 17],
+           [20, 22, 24, 25, 27],
+           [29, 31, 33, 34, 36],
+           [35, 37, 39, 40, 42]])
+
+    >>> from scipy import datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = gaussian_filter(ascent, sigma=5)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    input = np.asarray(input)
+    output = _ni_support._get_output(output, input)
+
+    axes = _ni_support._check_axes(axes, input.ndim)
+    num_axes = len(axes)
+    orders = _ni_support._normalize_sequence(order, num_axes)
+    sigmas = _ni_support._normalize_sequence(sigma, num_axes)
+    modes = _ni_support._normalize_sequence(mode, num_axes)
+    radiuses = _ni_support._normalize_sequence(radius, num_axes)
+    axes = [(axes[ii], sigmas[ii], orders[ii], modes[ii], radiuses[ii])
+            for ii in range(num_axes) if sigmas[ii] > 1e-15]
+    if len(axes) > 0:
+        for axis, sigma, order, mode, radius in axes:
+            gaussian_filter1d(input, sigma, axis, order, output,
+                              mode, cval, truncate, radius=radius)
+            input = output
+    else:
+        output[...] = input[...]
+    return output
+
+
+@_ni_docstrings.docfiller
+def prewitt(input, axis=-1, output=None, mode="reflect", cval=0.0):
+    """Calculate a Prewitt filter.
+
+    Parameters
+    ----------
+    %(input)s
+    %(axis)s
+    %(output)s
+    %(mode_multiple)s
+    %(cval)s
+
+    Returns
+    -------
+    prewitt : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    See Also
+    --------
+    sobel: Sobel filter
+
+    Notes
+    -----
+    This function computes the one-dimensional Prewitt filter.
+    Horizontal edges are emphasised with the horizontal transform (axis=0),
+    vertical edges with the vertical transform (axis=1), and so on for higher
+    dimensions. These can be combined to give the magnitude.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> import numpy as np
+    >>> ascent = datasets.ascent()
+    >>> prewitt_h = ndimage.prewitt(ascent, axis=0)
+    >>> prewitt_v = ndimage.prewitt(ascent, axis=1)
+    >>> magnitude = np.sqrt(prewitt_h ** 2 + prewitt_v ** 2)
+    >>> magnitude *= 255 / np.max(magnitude) # Normalization
+    >>> fig, axes = plt.subplots(2, 2, figsize = (8, 8))
+    >>> plt.gray()
+    >>> axes[0, 0].imshow(ascent)
+    >>> axes[0, 1].imshow(prewitt_h)
+    >>> axes[1, 0].imshow(prewitt_v)
+    >>> axes[1, 1].imshow(magnitude)
+    >>> titles = ["original", "horizontal", "vertical", "magnitude"]
+    >>> for i, ax in enumerate(axes.ravel()):
+    ...     ax.set_title(titles[i])
+    ...     ax.axis("off")
+    >>> plt.show()
+
+    """
+    input = np.asarray(input)
+    axis = normalize_axis_index(axis, input.ndim)
+    output = _ni_support._get_output(output, input)
+    modes = _ni_support._normalize_sequence(mode, input.ndim)
+    correlate1d(input, [-1, 0, 1], axis, output, modes[axis], cval, 0)
+    axes = [ii for ii in range(input.ndim) if ii != axis]
+    for ii in axes:
+        correlate1d(output, [1, 1, 1], ii, output, modes[ii], cval, 0,)
+    return output
+
+
+@_ni_docstrings.docfiller
+def sobel(input, axis=-1, output=None, mode="reflect", cval=0.0):
+    """Calculate a Sobel filter.
+
+    Parameters
+    ----------
+    %(input)s
+    %(axis)s
+    %(output)s
+    %(mode_multiple)s
+    %(cval)s
+
+    Returns
+    -------
+    sobel : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Notes
+    -----
+    This function computes the axis-specific Sobel gradient.
+    The horizontal edges can be emphasised with the horizontal transform (axis=0),
+    the vertical edges with the vertical transform (axis=1) and so on for higher
+    dimensions. These can be combined to give the magnitude.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> import numpy as np
+    >>> ascent = datasets.ascent().astype('int32')
+    >>> sobel_h = ndimage.sobel(ascent, 0)  # horizontal gradient
+    >>> sobel_v = ndimage.sobel(ascent, 1)  # vertical gradient
+    >>> magnitude = np.sqrt(sobel_h**2 + sobel_v**2)
+    >>> magnitude *= 255.0 / np.max(magnitude)  # normalization
+    >>> fig, axs = plt.subplots(2, 2, figsize=(8, 8))
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> axs[0, 0].imshow(ascent)
+    >>> axs[0, 1].imshow(sobel_h)
+    >>> axs[1, 0].imshow(sobel_v)
+    >>> axs[1, 1].imshow(magnitude)
+    >>> titles = ["original", "horizontal", "vertical", "magnitude"]
+    >>> for i, ax in enumerate(axs.ravel()):
+    ...     ax.set_title(titles[i])
+    ...     ax.axis("off")
+    >>> plt.show()
+
+    """
+    input = np.asarray(input)
+    axis = normalize_axis_index(axis, input.ndim)
+    output = _ni_support._get_output(output, input)
+    modes = _ni_support._normalize_sequence(mode, input.ndim)
+    correlate1d(input, [-1, 0, 1], axis, output, modes[axis], cval, 0)
+    axes = [ii for ii in range(input.ndim) if ii != axis]
+    for ii in axes:
+        correlate1d(output, [1, 2, 1], ii, output, modes[ii], cval, 0)
+    return output
+
+
+@_ni_docstrings.docfiller
+def generic_laplace(input, derivative2, output=None, mode="reflect",
+                    cval=0.0,
+                    extra_arguments=(),
+                    extra_keywords=None):
+    """
+    N-D Laplace filter using a provided second derivative function.
+
+    Parameters
+    ----------
+    %(input)s
+    derivative2 : callable
+        Callable with the following signature::
+
+            derivative2(input, axis, output, mode, cval,
+                        *extra_arguments, **extra_keywords)
+
+        See `extra_arguments`, `extra_keywords` below.
+    %(output)s
+    %(mode_multiple)s
+    %(cval)s
+    %(extra_keywords)s
+    %(extra_arguments)s
+
+    Returns
+    -------
+    generic_laplace : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    """
+    if extra_keywords is None:
+        extra_keywords = {}
+    input = np.asarray(input)
+    output = _ni_support._get_output(output, input)
+    axes = list(range(input.ndim))
+    if len(axes) > 0:
+        modes = _ni_support._normalize_sequence(mode, len(axes))
+        derivative2(input, axes[0], output, modes[0], cval,
+                    *extra_arguments, **extra_keywords)
+        for ii in range(1, len(axes)):
+            tmp = derivative2(input, axes[ii], output.dtype, modes[ii], cval,
+                              *extra_arguments, **extra_keywords)
+            output += tmp
+    else:
+        output[...] = input[...]
+    return output
+
+
+@_ni_docstrings.docfiller
+def laplace(input, output=None, mode="reflect", cval=0.0):
+    """N-D Laplace filter based on approximate second derivatives.
+
+    Parameters
+    ----------
+    %(input)s
+    %(output)s
+    %(mode_multiple)s
+    %(cval)s
+
+    Returns
+    -------
+    laplace : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = ndimage.laplace(ascent)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    def derivative2(input, axis, output, mode, cval):
+        return correlate1d(input, [1, -2, 1], axis, output, mode, cval, 0)
+    return generic_laplace(input, derivative2, output, mode, cval)
+
+
+@_ni_docstrings.docfiller
+def gaussian_laplace(input, sigma, output=None, mode="reflect",
+                     cval=0.0, **kwargs):
+    """Multidimensional Laplace filter using Gaussian second derivatives.
+
+    Parameters
+    ----------
+    %(input)s
+    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)s
+    %(mode_multiple)s
+    %(cval)s
+    Extra keyword arguments will be passed to gaussian_filter().
+
+    Returns
+    -------
+    gaussian_laplace : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> ascent = datasets.ascent()
+
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+
+    >>> result = ndimage.gaussian_laplace(ascent, sigma=1)
+    >>> ax1.imshow(result)
+
+    >>> result = ndimage.gaussian_laplace(ascent, sigma=3)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    input = np.asarray(input)
+
+    def derivative2(input, axis, output, mode, cval, sigma, **kwargs):
+        order = [0] * input.ndim
+        order[axis] = 2
+        return gaussian_filter(input, sigma, order, output, mode, cval,
+                               **kwargs)
+
+    return generic_laplace(input, derivative2, output, mode, cval,
+                           extra_arguments=(sigma,),
+                           extra_keywords=kwargs)
+
+
+@_ni_docstrings.docfiller
+def generic_gradient_magnitude(input, derivative, output=None,
+                               mode="reflect", cval=0.0,
+                               extra_arguments=(), extra_keywords=None):
+    """Gradient magnitude using a provided gradient function.
+
+    Parameters
+    ----------
+    %(input)s
+    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)s
+    %(mode_multiple)s
+    %(cval)s
+    %(extra_keywords)s
+    %(extra_arguments)s
+
+    Returns
+    -------
+    generic_gradient_matnitude : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    """
+    if extra_keywords is None:
+        extra_keywords = {}
+    input = np.asarray(input)
+    output = _ni_support._get_output(output, input)
+    axes = list(range(input.ndim))
+    if len(axes) > 0:
+        modes = _ni_support._normalize_sequence(mode, len(axes))
+        derivative(input, axes[0], output, modes[0], cval,
+                   *extra_arguments, **extra_keywords)
+        np.multiply(output, output, output)
+        for ii in range(1, len(axes)):
+            tmp = derivative(input, axes[ii], output.dtype, modes[ii], cval,
+                             *extra_arguments, **extra_keywords)
+            np.multiply(tmp, tmp, tmp)
+            output += tmp
+        # This allows the sqrt to work with a different default casting
+        np.sqrt(output, output, casting='unsafe')
+    else:
+        output[...] = input[...]
+    return output
+
+
+@_ni_docstrings.docfiller
+def gaussian_gradient_magnitude(input, sigma, output=None,
+                                mode="reflect", cval=0.0, **kwargs):
+    """Multidimensional gradient magnitude using Gaussian derivatives.
+
+    Parameters
+    ----------
+    %(input)s
+    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)s
+    %(mode_multiple)s
+    %(cval)s
+    Extra keyword arguments will be passed to gaussian_filter().
+
+    Returns
+    -------
+    gaussian_gradient_magnitude : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = ndimage.gaussian_gradient_magnitude(ascent, sigma=5)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    input = np.asarray(input)
+
+    def derivative(input, axis, output, mode, cval, sigma, **kwargs):
+        order = [0] * input.ndim
+        order[axis] = 1
+        return gaussian_filter(input, sigma, order, output, mode,
+                               cval, **kwargs)
+
+    return generic_gradient_magnitude(input, derivative, output, mode,
+                                      cval, extra_arguments=(sigma,),
+                                      extra_keywords=kwargs)
+
+
+def _correlate_or_convolve(input, weights, output, mode, cval, origin,
+                           convolution):
+    input = np.asarray(input)
+    weights = np.asarray(weights)
+    complex_input = input.dtype.kind == 'c'
+    complex_weights = weights.dtype.kind == 'c'
+    if complex_input or complex_weights:
+        if complex_weights and not convolution:
+            # As for np.correlate, conjugate weights rather than input.
+            weights = weights.conj()
+        kwargs = dict(
+            mode=mode, origin=origin, convolution=convolution
+        )
+        output = _ni_support._get_output(output, input, complex_output=True)
+
+        return _complex_via_real_components(_correlate_or_convolve, input,
+                                            weights, output, cval, **kwargs)
+
+    origins = _ni_support._normalize_sequence(origin, input.ndim)
+    weights = np.asarray(weights, dtype=np.float64)
+    wshape = [ii for ii in weights.shape if ii > 0]
+    if len(wshape) != input.ndim:
+        raise RuntimeError('filter weights array has incorrect shape.')
+    if convolution:
+        weights = weights[tuple([slice(None, None, -1)] * weights.ndim)]
+        for ii in range(len(origins)):
+            origins[ii] = -origins[ii]
+            if not weights.shape[ii] & 1:
+                origins[ii] -= 1
+    for origin, lenw in zip(origins, wshape):
+        if _invalid_origin(origin, lenw):
+            raise ValueError('Invalid origin; origin must satisfy '
+                             '-(weights.shape[k] // 2) <= origin[k] <= '
+                             '(weights.shape[k]-1) // 2')
+
+    if not weights.flags.contiguous:
+        weights = weights.copy()
+    output = _ni_support._get_output(output, input)
+    temp_needed = np.may_share_memory(input, output)
+    if temp_needed:
+        # input and output arrays cannot share memory
+        temp = output
+        output = _ni_support._get_output(output.dtype, input)
+    if not isinstance(mode, str) and isinstance(mode, Iterable):
+        raise RuntimeError("A sequence of modes is not supported")
+    mode = _ni_support._extend_mode_to_code(mode)
+    _nd_image.correlate(input, weights, output, mode, cval, origins)
+    if temp_needed:
+        temp[...] = output
+        output = temp
+    return output
+
+
+@_ni_docstrings.docfiller
+def correlate(input, weights, output=None, mode='reflect', cval=0.0,
+              origin=0):
+    """
+    Multidimensional correlation.
+
+    The array is correlated with the given kernel.
+
+    Parameters
+    ----------
+    %(input)s
+    weights : ndarray
+        array of weights, same number of dimensions as input
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin_multiple)s
+
+    Returns
+    -------
+    result : ndarray
+        The result of correlation of `input` with `weights`.
+
+    See Also
+    --------
+    convolve : Convolve an image with a kernel.
+
+    Examples
+    --------
+    Correlation is the process of moving a filter mask often referred to
+    as kernel over the image and computing the sum of products at each location.
+
+    >>> from scipy.ndimage import correlate
+    >>> import numpy as np
+    >>> input_img = np.arange(25).reshape(5,5)
+    >>> print(input_img)
+    [[ 0  1  2  3  4]
+    [ 5  6  7  8  9]
+    [10 11 12 13 14]
+    [15 16 17 18 19]
+    [20 21 22 23 24]]
+
+    Define a kernel (weights) for correlation. In this example, it is for sum of
+    center and up, down, left and right next elements.
+
+    >>> weights = [[0, 1, 0],
+    ...            [1, 1, 1],
+    ...            [0, 1, 0]]
+
+    We can calculate a correlation result:
+    For example, element ``[2,2]`` is ``7 + 11 + 12 + 13 + 17 = 60``.
+
+    >>> correlate(input_img, weights)
+    array([[  6,  10,  15,  20,  24],
+        [ 26,  30,  35,  40,  44],
+        [ 51,  55,  60,  65,  69],
+        [ 76,  80,  85,  90,  94],
+        [ 96, 100, 105, 110, 114]])
+
+    """
+    return _correlate_or_convolve(input, weights, output, mode, cval,
+                                  origin, False)
+
+
+@_ni_docstrings.docfiller
+def convolve(input, weights, output=None, mode='reflect', cval=0.0,
+             origin=0):
+    """
+    Multidimensional convolution.
+
+    The array is convolved with the given kernel.
+
+    Parameters
+    ----------
+    %(input)s
+    weights : array_like
+        Array of weights, same number of dimensions as input
+    %(output)s
+    %(mode_reflect)s
+    cval : scalar, optional
+        Value to fill past edges of input if `mode` is 'constant'. Default
+        is 0.0
+    origin : int, optional
+        Controls the origin of the input signal, which is where the
+        filter is centered to produce the first element of the output.
+        Positive values shift the filter to the right, and negative values
+        shift the filter to the left. 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+k-j} 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`) are treated as zeros.
+
+    >>> import numpy as np
+    >>> a = np.array([[1, 2, 0, 0],
+    ...               [5, 3, 0, 4],
+    ...               [0, 0, 0, 7],
+    ...               [9, 3, 0, 0]])
+    >>> k = np.array([[1,1,1],[1,1,0],[1,0,0]])
+    >>> from scipy 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]])
+    >>> ndimage.convolve(b, k, mode='reflect')
+    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]])
+
+    """
+    return _correlate_or_convolve(input, weights, output, mode, cval,
+                                  origin, True)
+
+
+@_ni_docstrings.docfiller
+def uniform_filter1d(input, size, axis=-1, output=None,
+                     mode="reflect", cval=0.0, origin=0):
+    """Calculate a 1-D 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)s
+    size : int
+        length of uniform filter
+    %(axis)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin)s
+
+    Returns
+    -------
+    result : ndarray
+        Filtered array. Has same shape as `input`.
+
+    Examples
+    --------
+    >>> from scipy.ndimage import uniform_filter1d
+    >>> uniform_filter1d([2, 8, 0, 4, 1, 9, 9, 0], size=3)
+    array([4, 3, 4, 1, 4, 6, 6, 3])
+    """
+    input = np.asarray(input)
+    axis = normalize_axis_index(axis, input.ndim)
+    if size < 1:
+        raise RuntimeError('incorrect filter size')
+    complex_output = input.dtype.kind == 'c'
+    output = _ni_support._get_output(output, input,
+                                     complex_output=complex_output)
+    if (size // 2 + origin < 0) or (size // 2 + origin >= size):
+        raise ValueError('invalid origin')
+    mode = _ni_support._extend_mode_to_code(mode)
+    if not complex_output:
+        _nd_image.uniform_filter1d(input, size, axis, output, mode, cval,
+                                   origin)
+    else:
+        _nd_image.uniform_filter1d(input.real, size, axis, output.real, mode,
+                                   np.real(cval), origin)
+        _nd_image.uniform_filter1d(input.imag, size, axis, output.imag, mode,
+                                   np.imag(cval), origin)
+    return output
+
+
+@_ni_docstrings.docfiller
+def uniform_filter(input, size=3, output=None, mode="reflect",
+                   cval=0.0, origin=0, *, axes=None):
+    """Multidimensional uniform filter.
+
+    Parameters
+    ----------
+    %(input)s
+    size : int or sequence of ints, optional
+        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)s
+    %(mode_multiple)s
+    %(cval)s
+    %(origin_multiple)s
+    axes : tuple of int or None, optional
+        If None, `input` is filtered along all axes. Otherwise,
+        `input` is filtered along the specified axes. When `axes` is
+        specified, any tuples used for `size`, `origin`, and/or `mode`
+        must match the length of `axes`. The ith entry in any of these tuples
+        corresponds to the ith entry in `axes`.
+
+    Returns
+    -------
+    uniform_filter : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Notes
+    -----
+    The multidimensional filter is implemented as a sequence of
+    1-D 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.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = ndimage.uniform_filter(ascent, size=20)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    input = np.asarray(input)
+    output = _ni_support._get_output(output, input,
+                                     complex_output=input.dtype.kind == 'c')
+    axes = _ni_support._check_axes(axes, input.ndim)
+    num_axes = len(axes)
+    sizes = _ni_support._normalize_sequence(size, num_axes)
+    origins = _ni_support._normalize_sequence(origin, num_axes)
+    modes = _ni_support._normalize_sequence(mode, num_axes)
+    axes = [(axes[ii], sizes[ii], origins[ii], modes[ii])
+            for ii in range(num_axes) if sizes[ii] > 1]
+    if len(axes) > 0:
+        for axis, size, origin, mode in axes:
+            uniform_filter1d(input, int(size), axis, output, mode,
+                             cval, origin)
+            input = output
+    else:
+        output[...] = input[...]
+    return output
+
+
+@_ni_docstrings.docfiller
+def minimum_filter1d(input, size, axis=-1, output=None,
+                     mode="reflect", cval=0.0, origin=0):
+    """Calculate a 1-D 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)s
+    size : int
+        length along which to calculate 1D minimum
+    %(axis)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin)s
+
+    Returns
+    -------
+    result : ndarray.
+        Filtered image. Has the same shape as `input`.
+
+    Notes
+    -----
+    This function implements the MINLIST algorithm [1]_, as described by
+    Richard Harter [2]_, and has a guaranteed O(n) performance, `n` being
+    the `input` length, regardless of filter size.
+
+    References
+    ----------
+    .. [1] http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.2777
+    .. [2] http://www.richardhartersworld.com/cri/2001/slidingmin.html
+
+
+    Examples
+    --------
+    >>> from scipy.ndimage import minimum_filter1d
+    >>> minimum_filter1d([2, 8, 0, 4, 1, 9, 9, 0], size=3)
+    array([2, 0, 0, 0, 1, 1, 0, 0])
+    """
+    input = np.asarray(input)
+    if np.iscomplexobj(input):
+        raise TypeError('Complex type not supported')
+    axis = normalize_axis_index(axis, input.ndim)
+    if size < 1:
+        raise RuntimeError('incorrect filter size')
+    output = _ni_support._get_output(output, input)
+    if (size // 2 + origin < 0) or (size // 2 + origin >= size):
+        raise ValueError('invalid origin')
+    mode = _ni_support._extend_mode_to_code(mode)
+    _nd_image.min_or_max_filter1d(input, size, axis, output, mode, cval,
+                                  origin, 1)
+    return output
+
+
+@_ni_docstrings.docfiller
+def maximum_filter1d(input, size, axis=-1, output=None,
+                     mode="reflect", cval=0.0, origin=0):
+    """Calculate a 1-D 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)s
+    size : int
+        Length along which to calculate the 1-D maximum.
+    %(axis)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin)s
+
+    Returns
+    -------
+    maximum1d : ndarray, None
+        Maximum-filtered array with same shape as input.
+        None if `output` is not None
+
+    Notes
+    -----
+    This function implements the MAXLIST algorithm [1]_, as described by
+    Richard Harter [2]_, and has a guaranteed O(n) performance, `n` being
+    the `input` length, regardless of filter size.
+
+    References
+    ----------
+    .. [1] http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.2777
+    .. [2] http://www.richardhartersworld.com/cri/2001/slidingmin.html
+
+    Examples
+    --------
+    >>> from scipy.ndimage import maximum_filter1d
+    >>> maximum_filter1d([2, 8, 0, 4, 1, 9, 9, 0], size=3)
+    array([8, 8, 8, 4, 9, 9, 9, 9])
+    """
+    input = np.asarray(input)
+    if np.iscomplexobj(input):
+        raise TypeError('Complex type not supported')
+    axis = normalize_axis_index(axis, input.ndim)
+    if size < 1:
+        raise RuntimeError('incorrect filter size')
+    output = _ni_support._get_output(output, input)
+    if (size // 2 + origin < 0) or (size // 2 + origin >= size):
+        raise ValueError('invalid origin')
+    mode = _ni_support._extend_mode_to_code(mode)
+    _nd_image.min_or_max_filter1d(input, size, axis, output, mode, cval,
+                                  origin, 0)
+    return output
+
+
+def _min_or_max_filter(input, size, footprint, structure, output, mode,
+                       cval, origin, minimum, axes=None):
+    if (size is not None) and (footprint is not None):
+        warnings.warn("ignoring size because footprint is set",
+                      UserWarning, stacklevel=3)
+    if structure is None:
+        if footprint is None:
+            if size is None:
+                raise RuntimeError("no footprint provided")
+            separable = True
+        else:
+            footprint = np.asarray(footprint, dtype=bool)
+            if not footprint.any():
+                raise ValueError("All-zero footprint is not supported.")
+            if footprint.all():
+                size = footprint.shape
+                footprint = None
+                separable = True
+            else:
+                separable = False
+    else:
+        structure = np.asarray(structure, dtype=np.float64)
+        separable = False
+        if footprint is None:
+            footprint = np.ones(structure.shape, bool)
+        else:
+            footprint = np.asarray(footprint, dtype=bool)
+    input = np.asarray(input)
+    if np.iscomplexobj(input):
+        raise TypeError("Complex type not supported")
+    output = _ni_support._get_output(output, input)
+    temp_needed = np.may_share_memory(input, output)
+    if temp_needed:
+        # input and output arrays cannot share memory
+        temp = output
+        output = _ni_support._get_output(output.dtype, input)
+    axes = _ni_support._check_axes(axes, input.ndim)
+    num_axes = len(axes)
+    if separable:
+        origins = _ni_support._normalize_sequence(origin, num_axes)
+        sizes = _ni_support._normalize_sequence(size, num_axes)
+        modes = _ni_support._normalize_sequence(mode, num_axes)
+        axes = [(axes[ii], sizes[ii], origins[ii], modes[ii])
+                for ii in range(len(axes)) if sizes[ii] > 1]
+        if minimum:
+            filter_ = minimum_filter1d
+        else:
+            filter_ = maximum_filter1d
+        if len(axes) > 0:
+            for axis, size, origin, mode in axes:
+                filter_(input, int(size), axis, output, mode, cval, origin)
+                input = output
+        else:
+            output[...] = input[...]
+    else:
+        origins = _ni_support._normalize_sequence(origin, num_axes)
+        if num_axes < input.ndim:
+            if footprint.ndim != num_axes:
+                raise RuntimeError("footprint array has incorrect shape")
+            footprint = np.expand_dims(
+                footprint,
+                tuple(ax for ax in range(input.ndim) if ax not in axes)
+            )
+            # set origin = 0 for any axes not being filtered
+            origins_temp = [0,] * input.ndim
+            for o, ax in zip(origins, axes):
+                origins_temp[ax] = o
+            origins = origins_temp
+
+        fshape = [ii for ii in footprint.shape if ii > 0]
+        if len(fshape) != input.ndim:
+            raise RuntimeError('footprint array has incorrect shape.')
+        for origin, lenf in zip(origins, fshape):
+            if (lenf // 2 + origin < 0) or (lenf // 2 + origin >= lenf):
+                raise ValueError("invalid origin")
+        if not footprint.flags.contiguous:
+            footprint = footprint.copy()
+        if structure is not None:
+            if len(structure.shape) != input.ndim:
+                raise RuntimeError("structure array has incorrect shape")
+            if num_axes != structure.ndim:
+                structure = np.expand_dims(
+                    structure,
+                    tuple(ax for ax in range(structure.ndim) if ax not in axes)
+                )
+            if not structure.flags.contiguous:
+                structure = structure.copy()
+        if not isinstance(mode, str) and isinstance(mode, Iterable):
+            raise RuntimeError(
+                "A sequence of modes is not supported for non-separable "
+                "footprints")
+        mode = _ni_support._extend_mode_to_code(mode)
+        _nd_image.min_or_max_filter(input, footprint, structure, output,
+                                    mode, cval, origins, minimum)
+    if temp_needed:
+        temp[...] = output
+        output = temp
+    return output
+
+
+@_ni_docstrings.docfiller
+def minimum_filter(input, size=None, footprint=None, output=None,
+                   mode="reflect", cval=0.0, origin=0, *, axes=None):
+    """Calculate a multidimensional minimum filter.
+
+    Parameters
+    ----------
+    %(input)s
+    %(size_foot)s
+    %(output)s
+    %(mode_multiple)s
+    %(cval)s
+    %(origin_multiple)s
+    axes : tuple of int or None, optional
+        If None, `input` is filtered along all axes. Otherwise,
+        `input` is filtered along the specified axes. When `axes` is
+        specified, any tuples used for `size`, `origin`, and/or `mode`
+        must match the length of `axes`. The ith entry in any of these tuples
+        corresponds to the ith entry in `axes`.
+
+    Returns
+    -------
+    minimum_filter : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Notes
+    -----
+    A sequence of modes (one per axis) is only supported when the footprint is
+    separable. Otherwise, a single mode string must be provided.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = ndimage.minimum_filter(ascent, size=20)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    return _min_or_max_filter(input, size, footprint, None, output, mode,
+                              cval, origin, 1, axes)
+
+
+@_ni_docstrings.docfiller
+def maximum_filter(input, size=None, footprint=None, output=None,
+                   mode="reflect", cval=0.0, origin=0, *, axes=None):
+    """Calculate a multidimensional maximum filter.
+
+    Parameters
+    ----------
+    %(input)s
+    %(size_foot)s
+    %(output)s
+    %(mode_multiple)s
+    %(cval)s
+    %(origin_multiple)s
+    axes : tuple of int or None, optional
+        If None, `input` is filtered along all axes. Otherwise,
+        `input` is filtered along the specified axes. When `axes` is
+        specified, any tuples used for `size`, `origin`, and/or `mode`
+        must match the length of `axes`. The ith entry in any of these tuples
+        corresponds to the ith entry in `axes`.
+
+    Returns
+    -------
+    maximum_filter : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Notes
+    -----
+    A sequence of modes (one per axis) is only supported when the footprint is
+    separable. Otherwise, a single mode string must be provided.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = ndimage.maximum_filter(ascent, size=20)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    return _min_or_max_filter(input, size, footprint, None, output, mode,
+                              cval, origin, 0, axes)
+
+
+@_ni_docstrings.docfiller
+def _rank_filter(input, rank, size=None, footprint=None, output=None,
+                 mode="reflect", cval=0.0, origin=0, operation='rank',
+                 axes=None):
+    if (size is not None) and (footprint is not None):
+        warnings.warn("ignoring size because footprint is set",
+                      UserWarning, stacklevel=3)
+    input = np.asarray(input)
+    if np.iscomplexobj(input):
+        raise TypeError('Complex type not supported')
+    axes = _ni_support._check_axes(axes, input.ndim)
+    num_axes = len(axes)
+    origins = _ni_support._normalize_sequence(origin, num_axes)
+    if footprint is None:
+        if size is None:
+            raise RuntimeError("no footprint or filter size provided")
+        sizes = _ni_support._normalize_sequence(size, num_axes)
+        footprint = np.ones(sizes, dtype=bool)
+    else:
+        footprint = np.asarray(footprint, dtype=bool)
+    if num_axes < input.ndim:
+        # set origin = 0 for any axes not being filtered
+        origins_temp = [0,] * input.ndim
+        for o, ax in zip(origins, axes):
+            origins_temp[ax] = o
+        origins = origins_temp
+
+        if not isinstance(mode, str) and isinstance(mode, Iterable):
+            # set mode = 'constant' for any axes not being filtered
+            modes = _ni_support._normalize_sequence(mode, num_axes)
+            modes_temp = ['constant'] * input.ndim
+            for m, ax in zip(modes, axes):
+                modes_temp[ax] = m
+            mode = modes_temp
+
+        # insert singleton dimension along any non-filtered axes
+        if footprint.ndim != num_axes:
+            raise RuntimeError("footprint array has incorrect shape")
+        footprint = np.expand_dims(
+            footprint,
+            tuple(ax for ax in range(input.ndim) if ax not in axes)
+        )
+    fshape = [ii for ii in footprint.shape if ii > 0]
+    if len(fshape) != input.ndim:
+        raise RuntimeError('footprint array has incorrect shape.')
+    for origin, lenf in zip(origins, fshape):
+        if (lenf // 2 + origin < 0) or (lenf // 2 + origin >= lenf):
+            raise ValueError('invalid origin')
+    if not footprint.flags.contiguous:
+        footprint = footprint.copy()
+    filter_size = np.where(footprint, 1, 0).sum()
+    if operation == 'median':
+        rank = filter_size // 2
+    elif operation == 'percentile':
+        percentile = rank
+        if percentile < 0.0:
+            percentile += 100.0
+        if percentile < 0 or percentile > 100:
+            raise RuntimeError('invalid percentile')
+        if percentile == 100.0:
+            rank = filter_size - 1
+        else:
+            rank = int(float(filter_size) * percentile / 100.0)
+    if rank < 0:
+        rank += filter_size
+    if rank < 0 or rank >= filter_size:
+        raise RuntimeError('rank not within filter footprint size')
+    if rank == 0:
+        return minimum_filter(input, None, footprint, output, mode, cval,
+                              origins, axes=None)
+    elif rank == filter_size - 1:
+        return maximum_filter(input, None, footprint, output, mode, cval,
+                              origins, axes=None)
+    else:
+        output = _ni_support._get_output(output, input)
+        temp_needed = np.may_share_memory(input, output)
+        if temp_needed:
+            # input and output arrays cannot share memory
+            temp = output
+            output = _ni_support._get_output(output.dtype, input)
+        if not isinstance(mode, str) and isinstance(mode, Iterable):
+            raise RuntimeError(
+                "A sequence of modes is not supported by non-separable rank "
+                "filters")
+        mode = _ni_support._extend_mode_to_code(mode)
+        _nd_image.rank_filter(input, rank, footprint, output, mode, cval,
+                              origins)
+        if temp_needed:
+            temp[...] = output
+            output = temp
+        return output
+
+
+@_ni_docstrings.docfiller
+def rank_filter(input, rank, size=None, footprint=None, output=None,
+                mode="reflect", cval=0.0, origin=0, *, axes=None):
+    """Calculate a multidimensional rank filter.
+
+    Parameters
+    ----------
+    %(input)s
+    rank : int
+        The rank parameter may be less than zero, i.e., rank = -1
+        indicates the largest element.
+    %(size_foot)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin_multiple)s
+    axes : tuple of int or None, optional
+        If None, `input` is filtered along all axes. Otherwise,
+        `input` is filtered along the specified axes.
+
+    Returns
+    -------
+    rank_filter : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = ndimage.rank_filter(ascent, rank=42, size=20)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    rank = operator.index(rank)
+    return _rank_filter(input, rank, size, footprint, output, mode, cval,
+                        origin, 'rank', axes=axes)
+
+
+@_ni_docstrings.docfiller
+def median_filter(input, size=None, footprint=None, output=None,
+                  mode="reflect", cval=0.0, origin=0, *, axes=None):
+    """
+    Calculate a multidimensional median filter.
+
+    Parameters
+    ----------
+    %(input)s
+    %(size_foot)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin_multiple)s
+    axes : tuple of int or None, optional
+        If None, `input` is filtered along all axes. Otherwise,
+        `input` is filtered along the specified axes.
+
+    Returns
+    -------
+    median_filter : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    See Also
+    --------
+    scipy.signal.medfilt2d
+
+    Notes
+    -----
+    For 2-dimensional images with ``uint8``, ``float32`` or ``float64`` dtypes
+    the specialised function `scipy.signal.medfilt2d` may be faster. It is
+    however limited to constant mode with ``cval=0``.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = ndimage.median_filter(ascent, size=20)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    return _rank_filter(input, 0, size, footprint, output, mode, cval,
+                        origin, 'median', axes=axes)
+
+
+@_ni_docstrings.docfiller
+def percentile_filter(input, percentile, size=None, footprint=None,
+                      output=None, mode="reflect", cval=0.0, origin=0, *,
+                      axes=None):
+    """Calculate a multidimensional percentile filter.
+
+    Parameters
+    ----------
+    %(input)s
+    percentile : scalar
+        The percentile parameter may be less than zero, i.e.,
+        percentile = -20 equals percentile = 80
+    %(size_foot)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin_multiple)s
+    axes : tuple of int or None, optional
+        If None, `input` is filtered along all axes. Otherwise,
+        `input` is filtered along the specified axes.
+
+    Returns
+    -------
+    percentile_filter : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure()
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = ndimage.percentile_filter(ascent, percentile=20, size=20)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result)
+    >>> plt.show()
+    """
+    return _rank_filter(input, percentile, size, footprint, output, mode,
+                        cval, origin, 'percentile', axes=axes)
+
+
+@_ni_docstrings.docfiller
+def generic_filter1d(input, function, filter_size, axis=-1,
+                     output=None, mode="reflect", cval=0.0, origin=0,
+                     extra_arguments=(), extra_keywords=None):
+    """Calculate a 1-D 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 1-D
+    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)s
+    function : {callable, scipy.LowLevelCallable}
+        Function to apply along given axis.
+    filter_size : scalar
+        Length of the filter.
+    %(axis)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin)s
+    %(extra_arguments)s
+    %(extra_keywords)s
+
+    Returns
+    -------
+    generic_filter1d : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Notes
+    -----
+    This function also accepts low-level callback functions with one of
+    the following signatures and wrapped in `scipy.LowLevelCallable`:
+
+    .. code:: c
+
+       int function(double *input_line, npy_intp input_length,
+                    double *output_line, npy_intp output_length,
+                    void *user_data)
+       int function(double *input_line, intptr_t input_length,
+                    double *output_line, intptr_t output_length,
+                    void *user_data)
+
+    The calling function iterates over the lines of the input and output
+    arrays, calling the callback function at each line. The current line
+    is extended according to the border conditions set by the calling
+    function, and the result is copied into the array that is passed
+    through ``input_line``. The length of the input line (after extension)
+    is passed through ``input_length``. The callback function should apply
+    the filter and store the result in the array passed through
+    ``output_line``. The length of the output line is passed through
+    ``output_length``. ``user_data`` is the data pointer provided
+    to `scipy.LowLevelCallable` as-is.
+
+    The callback function must return an integer error status that is zero
+    if something went wrong and one otherwise. If an error occurs, you should
+    normally set the python error status with an informative message
+    before returning, otherwise a default error message is set by the
+    calling function.
+
+    In addition, some other low-level function pointer specifications
+    are accepted, but these are for backward compatibility only and should
+    not be used in new code.
+
+    """
+    if extra_keywords is None:
+        extra_keywords = {}
+    input = np.asarray(input)
+    if np.iscomplexobj(input):
+        raise TypeError('Complex type not supported')
+    output = _ni_support._get_output(output, input)
+    if filter_size < 1:
+        raise RuntimeError('invalid filter size')
+    axis = normalize_axis_index(axis, input.ndim)
+    if (filter_size // 2 + origin < 0) or (filter_size // 2 + origin >=
+                                           filter_size):
+        raise ValueError('invalid origin')
+    mode = _ni_support._extend_mode_to_code(mode)
+    _nd_image.generic_filter1d(input, function, filter_size, axis, output,
+                               mode, cval, origin, extra_arguments,
+                               extra_keywords)
+    return output
+
+
+@_ni_docstrings.docfiller
+def generic_filter(input, function, size=None, footprint=None,
+                   output=None, mode="reflect", cval=0.0, origin=0,
+                   extra_arguments=(), extra_keywords=None):
+    """Calculate a multidimensional 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 1-D array of double values.
+
+    Parameters
+    ----------
+    %(input)s
+    function : {callable, scipy.LowLevelCallable}
+        Function to apply at each element.
+    %(size_foot)s
+    %(output)s
+    %(mode_reflect)s
+    %(cval)s
+    %(origin_multiple)s
+    %(extra_arguments)s
+    %(extra_keywords)s
+
+    Returns
+    -------
+    generic_filter : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    Notes
+    -----
+    This function also accepts low-level callback functions with one of
+    the following signatures and wrapped in `scipy.LowLevelCallable`:
+
+    .. code:: c
+
+       int callback(double *buffer, npy_intp filter_size,
+                    double *return_value, void *user_data)
+       int callback(double *buffer, intptr_t filter_size,
+                    double *return_value, void *user_data)
+
+    The calling function iterates over the elements of the input and
+    output arrays, calling the callback function at each element. The
+    elements within the footprint of the filter at the current element are
+    passed through the ``buffer`` parameter, and the number of elements
+    within the footprint through ``filter_size``. The calculated value is
+    returned in ``return_value``. ``user_data`` is the data pointer provided
+    to `scipy.LowLevelCallable` as-is.
+
+    The callback function must return an integer error status that is zero
+    if something went wrong and one otherwise. If an error occurs, you should
+    normally set the python error status with an informative message
+    before returning, otherwise a default error message is set by the
+    calling function.
+
+    In addition, some other low-level function pointer specifications
+    are accepted, but these are for backward compatibility only and should
+    not be used in new code.
+
+    Examples
+    --------
+    Import the necessary modules and load the example image used for
+    filtering.
+
+    >>> import numpy as np
+    >>> from scipy import datasets
+    >>> from scipy.ndimage import zoom, generic_filter
+    >>> import matplotlib.pyplot as plt
+    >>> ascent = zoom(datasets.ascent(), 0.5)
+
+    Compute a maximum filter with kernel size 5 by passing a simple NumPy
+    aggregation function as argument to `function`.
+
+    >>> maximum_filter_result = generic_filter(ascent, np.amax, [5, 5])
+
+    While a maximmum filter could also directly be obtained using
+    `maximum_filter`, `generic_filter` allows generic Python function or
+    `scipy.LowLevelCallable` to be used as a filter. Here, we compute the
+    range between maximum and minimum value as an example for a kernel size
+    of 5.
+
+    >>> def custom_filter(image):
+    ...     return np.amax(image) - np.amin(image)
+    >>> custom_filter_result = generic_filter(ascent, custom_filter, [5, 5])
+
+    Plot the original and filtered images.
+
+    >>> fig, axes = plt.subplots(3, 1, figsize=(3, 9))
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> top, middle, bottom = axes
+    >>> for ax in axes:
+    ...     ax.set_axis_off()  # remove coordinate system
+    >>> top.imshow(ascent)
+    >>> top.set_title("Original image")
+    >>> middle.imshow(maximum_filter_result)
+    >>> middle.set_title("Maximum filter, Kernel: 5x5")
+    >>> bottom.imshow(custom_filter_result)
+    >>> bottom.set_title("Custom filter, Kernel: 5x5")
+    >>> fig.tight_layout()
+
+    """
+    if (size is not None) and (footprint is not None):
+        warnings.warn("ignoring size because footprint is set",
+                      UserWarning, stacklevel=2)
+    if extra_keywords is None:
+        extra_keywords = {}
+    input = np.asarray(input)
+    if np.iscomplexobj(input):
+        raise TypeError('Complex type not supported')
+    origins = _ni_support._normalize_sequence(origin, input.ndim)
+    if footprint is None:
+        if size is None:
+            raise RuntimeError("no footprint or filter size provided")
+        sizes = _ni_support._normalize_sequence(size, input.ndim)
+        footprint = np.ones(sizes, dtype=bool)
+    else:
+        footprint = np.asarray(footprint, dtype=bool)
+    fshape = [ii for ii in footprint.shape if ii > 0]
+    if len(fshape) != input.ndim:
+        raise RuntimeError('filter footprint array has incorrect shape.')
+    for origin, lenf in zip(origins, fshape):
+        if (lenf // 2 + origin < 0) or (lenf // 2 + origin >= lenf):
+            raise ValueError('invalid origin')
+    if not footprint.flags.contiguous:
+        footprint = footprint.copy()
+    output = _ni_support._get_output(output, input)
+    mode = _ni_support._extend_mode_to_code(mode)
+    _nd_image.generic_filter(input, function, footprint, output, mode,
+                             cval, origins, extra_arguments, extra_keywords)
+    return output

parrot/lib/python3.10/site-packages/scipy/ndimage/_fourier.py

@@ -0,0 +1,306 @@
+# Copyright (C) 2003-2005 Peter J. Verveer
+#
+# Redistribution and use in source and binary forms, with or without
+# modification, are permitted provided that the following conditions
+# are met:
+#
+# 1. Redistributions of source code must retain the above copyright
+#    notice, this list of conditions and the following disclaimer.
+#
+# 2. Redistributions in binary form must reproduce the above
+#    copyright notice, this list of conditions and the following
+#    disclaimer in the documentation and/or other materials provided
+#    with the distribution.
+#
+# 3. The name of the author may not be used to endorse or promote
+#    products derived from this software without specific prior
+#    written permission.
+#
+# THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS
+# OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+# WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+# ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
+# DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+# DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
+# GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+# WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+import numpy as np
+from scipy._lib._util import normalize_axis_index
+from . import _ni_support
+from . import _nd_image
+
+__all__ = ['fourier_gaussian', 'fourier_uniform', 'fourier_ellipsoid',
+           'fourier_shift']
+
+
+def _get_output_fourier(output, input):
+    if output is None:
+        if input.dtype.type in [np.complex64, np.complex128, np.float32]:
+            output = np.zeros(input.shape, dtype=input.dtype)
+        else:
+            output = np.zeros(input.shape, dtype=np.float64)
+    elif type(output) is type:
+        if output not in [np.complex64, np.complex128,
+                          np.float32, np.float64]:
+            raise RuntimeError("output type not supported")
+        output = np.zeros(input.shape, dtype=output)
+    elif output.shape != input.shape:
+        raise RuntimeError("output shape not correct")
+    return output
+
+
+def _get_output_fourier_complex(output, input):
+    if output is None:
+        if input.dtype.type in [np.complex64, np.complex128]:
+            output = np.zeros(input.shape, dtype=input.dtype)
+        else:
+            output = np.zeros(input.shape, dtype=np.complex128)
+    elif type(output) is type:
+        if output not in [np.complex64, np.complex128]:
+            raise RuntimeError("output type not supported")
+        output = np.zeros(input.shape, dtype=output)
+    elif output.shape != input.shape:
+        raise RuntimeError("output shape not correct")
+    return output
+
+
+def fourier_gaussian(input, sigma, n=-1, axis=-1, output=None):
+    """
+    Multidimensional Gaussian fourier filter.
+
+    The array is multiplied with the fourier transform of a Gaussian
+    kernel.
+
+    Parameters
+    ----------
+    input : array_like
+        The input array.
+    sigma : float or sequence
+        The sigma of the Gaussian kernel. If a float, `sigma` is the same for
+        all axes. If a sequence, `sigma` has to contain one value for each
+        axis.
+    n : int, optional
+        If `n` is negative (default), then the input is assumed to be the
+        result of a complex fft.
+        If `n` is larger than or equal to zero, the input is assumed to be the
+        result of a real fft, and `n` gives the length of the array before
+        transformation along the real transform direction.
+    axis : int, optional
+        The axis of the real transform.
+    output : ndarray, optional
+        If given, the result of filtering the input is placed in this array.
+
+    Returns
+    -------
+    fourier_gaussian : ndarray
+        The filtered input.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import numpy.fft
+    >>> import matplotlib.pyplot as plt
+    >>> fig, (ax1, ax2) = plt.subplots(1, 2)
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ascent = datasets.ascent()
+    >>> input_ = numpy.fft.fft2(ascent)
+    >>> result = ndimage.fourier_gaussian(input_, sigma=4)
+    >>> result = numpy.fft.ifft2(result)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result.real)  # the imaginary part is an artifact
+    >>> plt.show()
+    """
+    input = np.asarray(input)
+    output = _get_output_fourier(output, input)
+    axis = normalize_axis_index(axis, input.ndim)
+    sigmas = _ni_support._normalize_sequence(sigma, input.ndim)
+    sigmas = np.asarray(sigmas, dtype=np.float64)
+    if not sigmas.flags.contiguous:
+        sigmas = sigmas.copy()
+
+    _nd_image.fourier_filter(input, sigmas, n, axis, output, 0)
+    return output
+
+
+def fourier_uniform(input, size, n=-1, axis=-1, output=None):
+    """
+    Multidimensional uniform fourier filter.
+
+    The array is multiplied with the Fourier transform of a box of given
+    size.
+
+    Parameters
+    ----------
+    input : array_like
+        The input array.
+    size : float or sequence
+        The size of the box used for filtering.
+        If a float, `size` is the same for all axes. If a sequence, `size` has
+        to contain one value for each axis.
+    n : int, optional
+        If `n` is negative (default), then the input is assumed to be the
+        result of a complex fft.
+        If `n` is larger than or equal to zero, the input is assumed to be the
+        result of a real fft, and `n` gives the length of the array before
+        transformation along the real transform direction.
+    axis : int, optional
+        The axis of the real transform.
+    output : ndarray, optional
+        If given, the result of filtering the input is placed in this array.
+
+    Returns
+    -------
+    fourier_uniform : ndarray
+        The filtered input.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import numpy.fft
+    >>> import matplotlib.pyplot as plt
+    >>> fig, (ax1, ax2) = plt.subplots(1, 2)
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ascent = datasets.ascent()
+    >>> input_ = numpy.fft.fft2(ascent)
+    >>> result = ndimage.fourier_uniform(input_, size=20)
+    >>> result = numpy.fft.ifft2(result)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result.real)  # the imaginary part is an artifact
+    >>> plt.show()
+    """
+    input = np.asarray(input)
+    output = _get_output_fourier(output, input)
+    axis = normalize_axis_index(axis, input.ndim)
+    sizes = _ni_support._normalize_sequence(size, input.ndim)
+    sizes = np.asarray(sizes, dtype=np.float64)
+    if not sizes.flags.contiguous:
+        sizes = sizes.copy()
+    _nd_image.fourier_filter(input, sizes, n, axis, output, 1)
+    return output
+
+
+def fourier_ellipsoid(input, size, n=-1, axis=-1, output=None):
+    """
+    Multidimensional ellipsoid Fourier filter.
+
+    The array is multiplied with the fourier transform of an ellipsoid of
+    given sizes.
+
+    Parameters
+    ----------
+    input : array_like
+        The input array.
+    size : float or sequence
+        The size of the box used for filtering.
+        If a float, `size` is the same for all axes. If a sequence, `size` has
+        to contain one value for each axis.
+    n : int, optional
+        If `n` is negative (default), then the input is assumed to be the
+        result of a complex fft.
+        If `n` is larger than or equal to zero, the input is assumed to be the
+        result of a real fft, and `n` gives the length of the array before
+        transformation along the real transform direction.
+    axis : int, optional
+        The axis of the real transform.
+    output : ndarray, optional
+        If given, the result of filtering the input is placed in this array.
+
+    Returns
+    -------
+    fourier_ellipsoid : ndarray
+        The filtered input.
+
+    Notes
+    -----
+    This function is implemented for arrays of rank 1, 2, or 3.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import numpy.fft
+    >>> import matplotlib.pyplot as plt
+    >>> fig, (ax1, ax2) = plt.subplots(1, 2)
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ascent = datasets.ascent()
+    >>> input_ = numpy.fft.fft2(ascent)
+    >>> result = ndimage.fourier_ellipsoid(input_, size=20)
+    >>> result = numpy.fft.ifft2(result)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result.real)  # the imaginary part is an artifact
+    >>> plt.show()
+    """
+    input = np.asarray(input)
+    if input.ndim > 3:
+        raise NotImplementedError("Only 1d, 2d and 3d inputs are supported")
+    output = _get_output_fourier(output, input)
+    if output.size == 0:
+        # The C code has a bug that can result in a segfault with arrays
+        # that have size 0 (gh-17270), so check here.
+        return output
+    axis = normalize_axis_index(axis, input.ndim)
+    sizes = _ni_support._normalize_sequence(size, input.ndim)
+    sizes = np.asarray(sizes, dtype=np.float64)
+    if not sizes.flags.contiguous:
+        sizes = sizes.copy()
+    _nd_image.fourier_filter(input, sizes, n, axis, output, 2)
+    return output
+
+
+def fourier_shift(input, shift, n=-1, axis=-1, output=None):
+    """
+    Multidimensional Fourier shift filter.
+
+    The array is multiplied with the Fourier transform of a shift operation.
+
+    Parameters
+    ----------
+    input : array_like
+        The input array.
+    shift : float or sequence
+        The size of the box used for filtering.
+        If a float, `shift` is the same for all axes. If a sequence, `shift`
+        has to contain one value for each axis.
+    n : int, optional
+        If `n` is negative (default), then the input is assumed to be the
+        result of a complex fft.
+        If `n` is larger than or equal to zero, the input is assumed to be the
+        result of a real fft, and `n` gives the length of the array before
+        transformation along the real transform direction.
+    axis : int, optional
+        The axis of the real transform.
+    output : ndarray, optional
+        If given, the result of shifting the input is placed in this array.
+
+    Returns
+    -------
+    fourier_shift : ndarray
+        The shifted input.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> import numpy.fft
+    >>> fig, (ax1, ax2) = plt.subplots(1, 2)
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> ascent = datasets.ascent()
+    >>> input_ = numpy.fft.fft2(ascent)
+    >>> result = ndimage.fourier_shift(input_, shift=200)
+    >>> result = numpy.fft.ifft2(result)
+    >>> ax1.imshow(ascent)
+    >>> ax2.imshow(result.real)  # the imaginary part is an artifact
+    >>> plt.show()
+    """
+    input = np.asarray(input)
+    output = _get_output_fourier_complex(output, input)
+    axis = normalize_axis_index(axis, input.ndim)
+    shifts = _ni_support._normalize_sequence(shift, input.ndim)
+    shifts = np.asarray(shifts, dtype=np.float64)
+    if not shifts.flags.contiguous:
+        shifts = shifts.copy()
+    _nd_image.fourier_shift(input, shifts, n, axis, output)
+    return output

parrot/lib/python3.10/site-packages/scipy/ndimage/_interpolation.py

@@ -0,0 +1,1001 @@
+# Copyright (C) 2003-2005 Peter J. Verveer
+#
+# Redistribution and use in source and binary forms, with or without
+# modification, are permitted provided that the following conditions
+# are met:
+#
+# 1. Redistributions of source code must retain the above copyright
+#    notice, this list of conditions and the following disclaimer.
+#
+# 2. Redistributions in binary form must reproduce the above
+#    copyright notice, this list of conditions and the following
+#    disclaimer in the documentation and/or other materials provided
+#    with the distribution.
+#
+# 3. The name of the author may not be used to endorse or promote
+#    products derived from this software without specific prior
+#    written permission.
+#
+# THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS
+# OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+# WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+# ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
+# DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+# DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
+# GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+# WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+import itertools
+import warnings
+
+import numpy as np
+from scipy._lib._util import normalize_axis_index
+
+from scipy import special
+from . import _ni_support
+from . import _nd_image
+from ._ni_docstrings import docfiller
+
+
+__all__ = ['spline_filter1d', 'spline_filter', 'geometric_transform',
+           'map_coordinates', 'affine_transform', 'shift', 'zoom', 'rotate']
+
+
+@docfiller
+def spline_filter1d(input, order=3, axis=-1, output=np.float64,
+                    mode='mirror'):
+    """
+    Calculate a 1-D spline filter along the given axis.
+
+    The lines of the array along the given axis are filtered by a
+    spline filter. The order of the spline must be >= 2 and <= 5.
+
+    Parameters
+    ----------
+    %(input)s
+    order : int, optional
+        The order of the spline, default is 3.
+    axis : int, optional
+        The axis along which the spline filter is applied. Default is the last
+        axis.
+    output : ndarray or dtype, optional
+        The array in which to place the output, or the dtype of the returned
+        array. Default is ``numpy.float64``.
+    %(mode_interp_mirror)s
+
+    Returns
+    -------
+    spline_filter1d : ndarray
+        The filtered input.
+
+    See Also
+    --------
+    spline_filter : Multidimensional spline filter.
+
+    Notes
+    -----
+    All of the interpolation functions in `ndimage` do spline interpolation of
+    the input image. If using B-splines of `order > 1`, the input image
+    values have to be converted to B-spline coefficients first, which is
+    done by applying this 1-D filter sequentially along all
+    axes of the input. All functions that require B-spline coefficients
+    will automatically filter their inputs, a behavior controllable with
+    the `prefilter` keyword argument. For functions that accept a `mode`
+    parameter, the result will only be correct if it matches the `mode`
+    used when filtering.
+
+    For complex-valued `input`, this function processes the real and imaginary
+    components independently.
+
+    .. versionadded:: 1.6.0
+        Complex-valued support added.
+
+    Examples
+    --------
+    We can filter an image using 1-D spline along the given axis:
+
+    >>> from scipy.ndimage import spline_filter1d
+    >>> import numpy as np
+    >>> import matplotlib.pyplot as plt
+    >>> orig_img = np.eye(20)  # create an image
+    >>> orig_img[10, :] = 1.0
+    >>> sp_filter_axis_0 = spline_filter1d(orig_img, axis=0)
+    >>> sp_filter_axis_1 = spline_filter1d(orig_img, axis=1)
+    >>> f, ax = plt.subplots(1, 3, sharex=True)
+    >>> for ind, data in enumerate([[orig_img, "original image"],
+    ...             [sp_filter_axis_0, "spline filter (axis=0)"],
+    ...             [sp_filter_axis_1, "spline filter (axis=1)"]]):
+    ...     ax[ind].imshow(data[0], cmap='gray_r')
+    ...     ax[ind].set_title(data[1])
+    >>> plt.tight_layout()
+    >>> plt.show()
+
+    """
+    if order < 0 or order > 5:
+        raise RuntimeError('spline order not supported')
+    input = np.asarray(input)
+    complex_output = np.iscomplexobj(input)
+    output = _ni_support._get_output(output, input,
+                                     complex_output=complex_output)
+    if complex_output:
+        spline_filter1d(input.real, order, axis, output.real, mode)
+        spline_filter1d(input.imag, order, axis, output.imag, mode)
+        return output
+    if order in [0, 1]:
+        output[...] = np.array(input)
+    else:
+        mode = _ni_support._extend_mode_to_code(mode)
+        axis = normalize_axis_index(axis, input.ndim)
+        _nd_image.spline_filter1d(input, order, axis, output, mode)
+    return output
+
+@docfiller
+def spline_filter(input, order=3, output=np.float64, mode='mirror'):
+    """
+    Multidimensional spline filter.
+
+    Parameters
+    ----------
+    %(input)s
+    order : int, optional
+        The order of the spline, default is 3.
+    output : ndarray or dtype, optional
+        The array in which to place the output, or the dtype of the returned
+        array. Default is ``numpy.float64``.
+    %(mode_interp_mirror)s
+
+    Returns
+    -------
+    spline_filter : ndarray
+        Filtered array. Has the same shape as `input`.
+
+    See Also
+    --------
+    spline_filter1d : Calculate a 1-D spline filter along the given axis.
+
+    Notes
+    -----
+    The multidimensional filter is implemented as a sequence of
+    1-D spline 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.
+
+    For complex-valued `input`, this function processes the real and imaginary
+    components independently.
+
+    .. versionadded:: 1.6.0
+        Complex-valued support added.
+
+    Examples
+    --------
+    We can filter an image using multidimentional splines:
+
+    >>> from scipy.ndimage import spline_filter
+    >>> import numpy as np
+    >>> import matplotlib.pyplot as plt
+    >>> orig_img = np.eye(20)  # create an image
+    >>> orig_img[10, :] = 1.0
+    >>> sp_filter = spline_filter(orig_img, order=3)
+    >>> f, ax = plt.subplots(1, 2, sharex=True)
+    >>> for ind, data in enumerate([[orig_img, "original image"],
+    ...                             [sp_filter, "spline filter"]]):
+    ...     ax[ind].imshow(data[0], cmap='gray_r')
+    ...     ax[ind].set_title(data[1])
+    >>> plt.tight_layout()
+    >>> plt.show()
+
+    """
+    if order < 2 or order > 5:
+        raise RuntimeError('spline order not supported')
+    input = np.asarray(input)
+    complex_output = np.iscomplexobj(input)
+    output = _ni_support._get_output(output, input,
+                                     complex_output=complex_output)
+    if complex_output:
+        spline_filter(input.real, order, output.real, mode)
+        spline_filter(input.imag, order, output.imag, mode)
+        return output
+    if order not in [0, 1] and input.ndim > 0:
+        for axis in range(input.ndim):
+            spline_filter1d(input, order, axis, output=output, mode=mode)
+            input = output
+    else:
+        output[...] = input[...]
+    return output
+
+
+def _prepad_for_spline_filter(input, mode, cval):
+    if mode in ['nearest', 'grid-constant']:
+        npad = 12
+        if mode == 'grid-constant':
+            padded = np.pad(input, npad, mode='constant',
+                               constant_values=cval)
+        elif mode == 'nearest':
+            padded = np.pad(input, npad, mode='edge')
+    else:
+        # other modes have exact boundary conditions implemented so
+        # no prepadding is needed
+        npad = 0
+        padded = input
+    return padded, npad
+
+
+@docfiller
+def geometric_transform(input, mapping, output_shape=None,
+                        output=None, order=3,
+                        mode='constant', cval=0.0, prefilter=True,
+                        extra_arguments=(), extra_keywords={}):
+    """
+    Apply an arbitrary geometric transform.
+
+    The given mapping function is used to find, for each point in the
+    output, the corresponding coordinates in the input. The value of the
+    input at those coordinates is determined by spline interpolation of
+    the requested order.
+
+    Parameters
+    ----------
+    %(input)s
+    mapping : {callable, scipy.LowLevelCallable}
+        A callable object that accepts a tuple of length equal to the output
+        array rank, and returns the corresponding input coordinates as a tuple
+        of length equal to the input array rank.
+    output_shape : tuple of ints, optional
+        Shape tuple.
+    %(output)s
+    order : int, optional
+        The order of the spline interpolation, default is 3.
+        The order has to be in the range 0-5.
+    %(mode_interp_constant)s
+    %(cval)s
+    %(prefilter)s
+    extra_arguments : tuple, optional
+        Extra arguments passed to `mapping`.
+    extra_keywords : dict, optional
+        Extra keywords passed to `mapping`.
+
+    Returns
+    -------
+    output : ndarray
+        The filtered input.
+
+    See Also
+    --------
+    map_coordinates, affine_transform, spline_filter1d
+
+
+    Notes
+    -----
+    This function also accepts low-level callback functions with one
+    the following signatures and wrapped in `scipy.LowLevelCallable`:
+
+    .. code:: c
+
+       int mapping(npy_intp *output_coordinates, double *input_coordinates,
+                   int output_rank, int input_rank, void *user_data)
+       int mapping(intptr_t *output_coordinates, double *input_coordinates,
+                   int output_rank, int input_rank, void *user_data)
+
+    The calling function iterates over the elements of the output array,
+    calling the callback function at each element. The coordinates of the
+    current output element are passed through ``output_coordinates``. The
+    callback function must return the coordinates at which the input must
+    be interpolated in ``input_coordinates``. The rank of the input and
+    output arrays are given by ``input_rank`` and ``output_rank``
+    respectively. ``user_data`` is the data pointer provided
+    to `scipy.LowLevelCallable` as-is.
+
+    The callback function must return an integer error status that is zero
+    if something went wrong and one otherwise. If an error occurs, you should
+    normally set the Python error status with an informative message
+    before returning, otherwise a default error message is set by the
+    calling function.
+
+    In addition, some other low-level function pointer specifications
+    are accepted, but these are for backward compatibility only and should
+    not be used in new code.
+
+    For complex-valued `input`, this function transforms the real and imaginary
+    components independently.
+
+    .. versionadded:: 1.6.0
+        Complex-valued support added.
+
+    Examples
+    --------
+    >>> import numpy as np
+    >>> from scipy.ndimage import geometric_transform
+    >>> a = np.arange(12.).reshape((4, 3))
+    >>> def shift_func(output_coords):
+    ...     return (output_coords[0] - 0.5, output_coords[1] - 0.5)
+    ...
+    >>> geometric_transform(a, shift_func)
+    array([[ 0.   ,  0.   ,  0.   ],
+           [ 0.   ,  1.362,  2.738],
+           [ 0.   ,  4.812,  6.187],
+           [ 0.   ,  8.263,  9.637]])
+
+    >>> b = [1, 2, 3, 4, 5]
+    >>> def shift_func(output_coords):
+    ...     return (output_coords[0] - 3,)
+    ...
+    >>> geometric_transform(b, shift_func, mode='constant')
+    array([0, 0, 0, 1, 2])
+    >>> geometric_transform(b, shift_func, mode='nearest')
+    array([1, 1, 1, 1, 2])
+    >>> geometric_transform(b, shift_func, mode='reflect')
+    array([3, 2, 1, 1, 2])
+    >>> geometric_transform(b, shift_func, mode='wrap')
+    array([2, 3, 4, 1, 2])
+
+    """
+    if order < 0 or order > 5:
+        raise RuntimeError('spline order not supported')
+    input = np.asarray(input)
+    if output_shape is None:
+        output_shape = input.shape
+    if input.ndim < 1 or len(output_shape) < 1:
+        raise RuntimeError('input and output rank must be > 0')
+    complex_output = np.iscomplexobj(input)
+    output = _ni_support._get_output(output, input, shape=output_shape,
+                                     complex_output=complex_output)
+    if complex_output:
+        kwargs = dict(order=order, mode=mode, prefilter=prefilter,
+                      output_shape=output_shape,
+                      extra_arguments=extra_arguments,
+                      extra_keywords=extra_keywords)
+        geometric_transform(input.real, mapping, output=output.real,
+                            cval=np.real(cval), **kwargs)
+        geometric_transform(input.imag, mapping, output=output.imag,
+                            cval=np.imag(cval), **kwargs)
+        return output
+
+    if prefilter and order > 1:
+        padded, npad = _prepad_for_spline_filter(input, mode, cval)
+        filtered = spline_filter(padded, order, output=np.float64,
+                                 mode=mode)
+    else:
+        npad = 0
+        filtered = input
+    mode = _ni_support._extend_mode_to_code(mode)
+    _nd_image.geometric_transform(filtered, mapping, None, None, None, output,
+                                  order, mode, cval, npad, extra_arguments,
+                                  extra_keywords)
+    return output
+
+
+@docfiller
+def map_coordinates(input, coordinates, output=None, order=3,
+                    mode='constant', cval=0.0, prefilter=True):
+    """
+    Map the input array to new coordinates by interpolation.
+
+    The array of coordinates is used to find, for each point in the output,
+    the corresponding coordinates in the input. The value of the input at
+    those coordinates is determined by spline interpolation of the
+    requested order.
+
+    The shape of the output is derived from that of the coordinate
+    array by dropping the first axis. The values of the array along
+    the first axis are the coordinates in the input array at which the
+    output value is found.
+
+    Parameters
+    ----------
+    %(input)s
+    coordinates : array_like
+        The coordinates at which `input` is evaluated.
+    %(output)s
+    order : int, optional
+        The order of the spline interpolation, default is 3.
+        The order has to be in the range 0-5.
+    %(mode_interp_constant)s
+    %(cval)s
+    %(prefilter)s
+
+    Returns
+    -------
+    map_coordinates : ndarray
+        The result of transforming the input. The shape of the output is
+        derived from that of `coordinates` by dropping the first axis.
+
+    See Also
+    --------
+    spline_filter, geometric_transform, scipy.interpolate
+
+    Notes
+    -----
+    For complex-valued `input`, this function maps the real and imaginary
+    components independently.
+
+    .. versionadded:: 1.6.0
+        Complex-valued support added.
+
+    Examples
+    --------
+    >>> from scipy import ndimage
+    >>> import numpy as np
+    >>> a = np.arange(12.).reshape((4, 3))
+    >>> a
+    array([[  0.,   1.,   2.],
+           [  3.,   4.,   5.],
+           [  6.,   7.,   8.],
+           [  9.,  10.,  11.]])
+    >>> ndimage.map_coordinates(a, [[0.5, 2], [0.5, 1]], order=1)
+    array([ 2.,  7.])
+
+    Above, the interpolated value of a[0.5, 0.5] gives output[0], while
+    a[2, 1] is output[1].
+
+    >>> inds = np.array([[0.5, 2], [0.5, 4]])
+    >>> ndimage.map_coordinates(a, inds, order=1, cval=-33.3)
+    array([  2. , -33.3])
+    >>> ndimage.map_coordinates(a, inds, order=1, mode='nearest')
+    array([ 2.,  8.])
+    >>> ndimage.map_coordinates(a, inds, order=1, cval=0, output=bool)
+    array([ True, False], dtype=bool)
+
+    """
+    if order < 0 or order > 5:
+        raise RuntimeError('spline order not supported')
+    input = np.asarray(input)
+    coordinates = np.asarray(coordinates)
+    if np.iscomplexobj(coordinates):
+        raise TypeError('Complex type not supported')
+    output_shape = coordinates.shape[1:]
+    if input.ndim < 1 or len(output_shape) < 1:
+        raise RuntimeError('input and output rank must be > 0')
+    if coordinates.shape[0] != input.ndim:
+        raise RuntimeError('invalid shape for coordinate array')
+    complex_output = np.iscomplexobj(input)
+    output = _ni_support._get_output(output, input, shape=output_shape,
+                                     complex_output=complex_output)
+    if complex_output:
+        kwargs = dict(order=order, mode=mode, prefilter=prefilter)
+        map_coordinates(input.real, coordinates, output=output.real,
+                        cval=np.real(cval), **kwargs)
+        map_coordinates(input.imag, coordinates, output=output.imag,
+                        cval=np.imag(cval), **kwargs)
+        return output
+    if prefilter and order > 1:
+        padded, npad = _prepad_for_spline_filter(input, mode, cval)
+        filtered = spline_filter(padded, order, output=np.float64, mode=mode)
+    else:
+        npad = 0
+        filtered = input
+    mode = _ni_support._extend_mode_to_code(mode)
+    _nd_image.geometric_transform(filtered, None, coordinates, None, None,
+                                  output, order, mode, cval, npad, None, None)
+    return output
+
+
+@docfiller
+def affine_transform(input, matrix, offset=0.0, output_shape=None,
+                     output=None, order=3,
+                     mode='constant', cval=0.0, prefilter=True):
+    """
+    Apply an affine transformation.
+
+    Given an output image pixel index vector ``o``, the pixel value
+    is determined from the input image at position
+    ``np.dot(matrix, o) + offset``.
+
+    This does 'pull' (or 'backward') resampling, transforming the output space
+    to the input to locate data. Affine transformations are often described in
+    the 'push' (or 'forward') direction, transforming input to output. If you
+    have a matrix for the 'push' transformation, use its inverse
+    (:func:`numpy.linalg.inv`) in this function.
+
+    Parameters
+    ----------
+    %(input)s
+    matrix : ndarray
+        The inverse coordinate transformation matrix, mapping output
+        coordinates to input coordinates. If ``ndim`` is the number of
+        dimensions of ``input``, the given matrix must have one of the
+        following shapes:
+
+            - ``(ndim, ndim)``: the linear transformation matrix for each
+              output coordinate.
+            - ``(ndim,)``: assume that the 2-D transformation matrix is
+              diagonal, with the diagonal specified by the given value. A more
+              efficient algorithm is then used that exploits the separability
+              of the problem.
+            - ``(ndim + 1, ndim + 1)``: assume that the transformation is
+              specified using homogeneous coordinates [1]_. In this case, any
+              value passed to ``offset`` is ignored.
+            - ``(ndim, ndim + 1)``: as above, but the bottom row of a
+              homogeneous transformation matrix is always ``[0, 0, ..., 1]``,
+              and may be omitted.
+
+    offset : float or sequence, optional
+        The offset into the array where the transform is applied. If a float,
+        `offset` is the same for each axis. If a sequence, `offset` should
+        contain one value for each axis.
+    output_shape : tuple of ints, optional
+        Shape tuple.
+    %(output)s
+    order : int, optional
+        The order of the spline interpolation, default is 3.
+        The order has to be in the range 0-5.
+    %(mode_interp_constant)s
+    %(cval)s
+    %(prefilter)s
+
+    Returns
+    -------
+    affine_transform : ndarray
+        The transformed input.
+
+    Notes
+    -----
+    The given matrix and offset are used to find for each point in the
+    output the corresponding coordinates in the input by an affine
+    transformation. The value of the input at those coordinates is
+    determined by spline interpolation of the requested order. Points
+    outside the boundaries of the input are filled according to the given
+    mode.
+
+    .. versionchanged:: 0.18.0
+        Previously, the exact interpretation of the affine transformation
+        depended on whether the matrix was supplied as a 1-D or a
+        2-D array. If a 1-D array was supplied
+        to the matrix parameter, the output pixel value at index ``o``
+        was determined from the input image at position
+        ``matrix * (o + offset)``.
+
+    For complex-valued `input`, this function transforms the real and imaginary
+    components independently.
+
+    .. versionadded:: 1.6.0
+        Complex-valued support added.
+
+    References
+    ----------
+    .. [1] https://en.wikipedia.org/wiki/Homogeneous_coordinates
+    """
+    if order < 0 or order > 5:
+        raise RuntimeError('spline order not supported')
+    input = np.asarray(input)
+    if output_shape is None:
+        if isinstance(output, np.ndarray):
+            output_shape = output.shape
+        else:
+            output_shape = input.shape
+    if input.ndim < 1 or len(output_shape) < 1:
+        raise RuntimeError('input and output rank must be > 0')
+    complex_output = np.iscomplexobj(input)
+    output = _ni_support._get_output(output, input, shape=output_shape,
+                                     complex_output=complex_output)
+    if complex_output:
+        kwargs = dict(offset=offset, output_shape=output_shape, order=order,
+                      mode=mode, prefilter=prefilter)
+        affine_transform(input.real, matrix, output=output.real,
+                         cval=np.real(cval), **kwargs)
+        affine_transform(input.imag, matrix, output=output.imag,
+                         cval=np.imag(cval), **kwargs)
+        return output
+    if prefilter and order > 1:
+        padded, npad = _prepad_for_spline_filter(input, mode, cval)
+        filtered = spline_filter(padded, order, output=np.float64, mode=mode)
+    else:
+        npad = 0
+        filtered = input
+    mode = _ni_support._extend_mode_to_code(mode)
+    matrix = np.asarray(matrix, dtype=np.float64)
+    if matrix.ndim not in [1, 2] or matrix.shape[0] < 1:
+        raise RuntimeError('no proper affine matrix provided')
+    if (matrix.ndim == 2 and matrix.shape[1] == input.ndim + 1 and
+            (matrix.shape[0] in [input.ndim, input.ndim + 1])):
+        if matrix.shape[0] == input.ndim + 1:
+            exptd = [0] * input.ndim + [1]
+            if not np.all(matrix[input.ndim] == exptd):
+                msg = (f'Expected homogeneous transformation matrix with '
+                       f'shape {matrix.shape} for image shape {input.shape}, '
+                       f'but bottom row was not equal to {exptd}')
+                raise ValueError(msg)
+        # assume input is homogeneous coordinate transformation matrix
+        offset = matrix[:input.ndim, input.ndim]
+        matrix = matrix[:input.ndim, :input.ndim]
+    if matrix.shape[0] != input.ndim:
+        raise RuntimeError('affine matrix has wrong number of rows')
+    if matrix.ndim == 2 and matrix.shape[1] != output.ndim:
+        raise RuntimeError('affine matrix has wrong number of columns')
+    if not matrix.flags.contiguous:
+        matrix = matrix.copy()
+    offset = _ni_support._normalize_sequence(offset, input.ndim)
+    offset = np.asarray(offset, dtype=np.float64)
+    if offset.ndim != 1 or offset.shape[0] < 1:
+        raise RuntimeError('no proper offset provided')
+    if not offset.flags.contiguous:
+        offset = offset.copy()
+    if matrix.ndim == 1:
+        warnings.warn(
+            "The behavior of affine_transform with a 1-D "
+            "array supplied for the matrix parameter has changed in "
+            "SciPy 0.18.0.",
+            stacklevel=2
+        )
+        _nd_image.zoom_shift(filtered, matrix, offset/matrix, output, order,
+                             mode, cval, npad, False)
+    else:
+        _nd_image.geometric_transform(filtered, None, None, matrix, offset,
+                                      output, order, mode, cval, npad, None,
+                                      None)
+    return output
+
+
+@docfiller
+def shift(input, shift, output=None, order=3, mode='constant', cval=0.0,
+          prefilter=True):
+    """
+    Shift an array.
+
+    The array is shifted using spline interpolation of the requested order.
+    Points outside the boundaries of the input are filled according to the
+    given mode.
+
+    Parameters
+    ----------
+    %(input)s
+    shift : float or sequence
+        The shift along the axes. If a float, `shift` is the same for each
+        axis. If a sequence, `shift` should contain one value for each axis.
+    %(output)s
+    order : int, optional
+        The order of the spline interpolation, default is 3.
+        The order has to be in the range 0-5.
+    %(mode_interp_constant)s
+    %(cval)s
+    %(prefilter)s
+
+    Returns
+    -------
+    shift : ndarray
+        The shifted input.
+
+    See Also
+    --------
+    affine_transform : Affine transformations
+
+    Notes
+    -----
+    For complex-valued `input`, this function shifts the real and imaginary
+    components independently.
+
+    .. versionadded:: 1.6.0
+        Complex-valued support added.
+
+    Examples
+    --------
+    Import the necessary modules and an exemplary image.
+
+    >>> from scipy.ndimage import shift
+    >>> import matplotlib.pyplot as plt
+    >>> from scipy import datasets
+    >>> image = datasets.ascent()
+
+    Shift the image vertically by 20 pixels.
+
+    >>> image_shifted_vertically = shift(image, (20, 0))
+
+    Shift the image vertically by -200 pixels and horizontally by 100 pixels.
+
+    >>> image_shifted_both_directions = shift(image, (-200, 100))
+
+    Plot the original and the shifted images.
+
+    >>> fig, axes = plt.subplots(3, 1, figsize=(4, 12))
+    >>> plt.gray()  # show the filtered result in grayscale
+    >>> top, middle, bottom = axes
+    >>> for ax in axes:
+    ...     ax.set_axis_off()  # remove coordinate system
+    >>> top.imshow(image)
+    >>> top.set_title("Original image")
+    >>> middle.imshow(image_shifted_vertically)
+    >>> middle.set_title("Vertically shifted image")
+    >>> bottom.imshow(image_shifted_both_directions)
+    >>> bottom.set_title("Image shifted in both directions")
+    >>> fig.tight_layout()
+    """
+    if order < 0 or order > 5:
+        raise RuntimeError('spline order not supported')
+    input = np.asarray(input)
+    if input.ndim < 1:
+        raise RuntimeError('input and output rank must be > 0')
+    complex_output = np.iscomplexobj(input)
+    output = _ni_support._get_output(output, input, complex_output=complex_output)
+    if complex_output:
+        # import under different name to avoid confusion with shift parameter
+        from scipy.ndimage._interpolation import shift as _shift
+
+        kwargs = dict(order=order, mode=mode, prefilter=prefilter)
+        _shift(input.real, shift, output=output.real, cval=np.real(cval), **kwargs)
+        _shift(input.imag, shift, output=output.imag, cval=np.imag(cval), **kwargs)
+        return output
+    if prefilter and order > 1:
+        padded, npad = _prepad_for_spline_filter(input, mode, cval)
+        filtered = spline_filter(padded, order, output=np.float64, mode=mode)
+    else:
+        npad = 0
+        filtered = input
+    mode = _ni_support._extend_mode_to_code(mode)
+    shift = _ni_support._normalize_sequence(shift, input.ndim)
+    shift = [-ii for ii in shift]
+    shift = np.asarray(shift, dtype=np.float64)
+    if not shift.flags.contiguous:
+        shift = shift.copy()
+    _nd_image.zoom_shift(filtered, None, shift, output, order, mode, cval,
+                         npad, False)
+    return output
+
+
+@docfiller
+def zoom(input, zoom, output=None, order=3, mode='constant', cval=0.0,
+         prefilter=True, *, grid_mode=False):
+    """
+    Zoom an array.
+
+    The array is zoomed using spline interpolation of the requested order.
+
+    Parameters
+    ----------
+    %(input)s
+    zoom : float or sequence
+        The zoom factor along the axes. If a float, `zoom` is the same for each
+        axis. If a sequence, `zoom` should contain one value for each axis.
+    %(output)s
+    order : int, optional
+        The order of the spline interpolation, default is 3.
+        The order has to be in the range 0-5.
+    %(mode_interp_constant)s
+    %(cval)s
+    %(prefilter)s
+    grid_mode : bool, optional
+        If False, the distance from the pixel centers is zoomed. Otherwise, the
+        distance including the full pixel extent is used. For example, a 1d
+        signal of length 5 is considered to have length 4 when `grid_mode` is
+        False, but length 5 when `grid_mode` is True. See the following
+        visual illustration:
+
+        .. code-block:: text
+
+                | pixel 1 | pixel 2 | pixel 3 | pixel 4 | pixel 5 |
+                     |<-------------------------------------->|
+                                        vs.
+                |<----------------------------------------------->|
+
+        The starting point of the arrow in the diagram above corresponds to
+        coordinate location 0 in each mode.
+
+    Returns
+    -------
+    zoom : ndarray
+        The zoomed input.
+
+    Notes
+    -----
+    For complex-valued `input`, this function zooms the real and imaginary
+    components independently.
+
+    .. versionadded:: 1.6.0
+        Complex-valued support added.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+
+    >>> fig = plt.figure()
+    >>> ax1 = fig.add_subplot(121)  # left side
+    >>> ax2 = fig.add_subplot(122)  # right side
+    >>> ascent = datasets.ascent()
+    >>> result = ndimage.zoom(ascent, 3.0)
+    >>> ax1.imshow(ascent, vmin=0, vmax=255)
+    >>> ax2.imshow(result, vmin=0, vmax=255)
+    >>> plt.show()
+
+    >>> print(ascent.shape)
+    (512, 512)
+
+    >>> print(result.shape)
+    (1536, 1536)
+    """
+    if order < 0 or order > 5:
+        raise RuntimeError('spline order not supported')
+    input = np.asarray(input)
+    if input.ndim < 1:
+        raise RuntimeError('input and output rank must be > 0')
+    zoom = _ni_support._normalize_sequence(zoom, input.ndim)
+    output_shape = tuple(
+            [int(round(ii * jj)) for ii, jj in zip(input.shape, zoom)])
+    complex_output = np.iscomplexobj(input)
+    output = _ni_support._get_output(output, input, shape=output_shape,
+                                     complex_output=complex_output)
+    if complex_output:
+        # import under different name to avoid confusion with zoom parameter
+        from scipy.ndimage._interpolation import zoom as _zoom
+
+        kwargs = dict(order=order, mode=mode, prefilter=prefilter)
+        _zoom(input.real, zoom, output=output.real, cval=np.real(cval), **kwargs)
+        _zoom(input.imag, zoom, output=output.imag, cval=np.imag(cval), **kwargs)
+        return output
+    if prefilter and order > 1:
+        padded, npad = _prepad_for_spline_filter(input, mode, cval)
+        filtered = spline_filter(padded, order, output=np.float64, mode=mode)
+    else:
+        npad = 0
+        filtered = input
+    if grid_mode:
+        # warn about modes that may have surprising behavior
+        suggest_mode = None
+        if mode == 'constant':
+            suggest_mode = 'grid-constant'
+        elif mode == 'wrap':
+            suggest_mode = 'grid-wrap'
+        if suggest_mode is not None:
+            warnings.warn(
+                (f"It is recommended to use mode = {suggest_mode} instead of {mode} "
+                 f"when grid_mode is True."),
+                stacklevel=2
+            )
+    mode = _ni_support._extend_mode_to_code(mode)
+
+    zoom_div = np.array(output_shape)
+    zoom_nominator = np.array(input.shape)
+    if not grid_mode:
+        zoom_div -= 1
+        zoom_nominator -= 1
+
+    # Zooming to infinite values is unpredictable, so just choose
+    # zoom factor 1 instead
+    zoom = np.divide(zoom_nominator, zoom_div,
+                     out=np.ones_like(input.shape, dtype=np.float64),
+                     where=zoom_div != 0)
+    zoom = np.ascontiguousarray(zoom)
+    _nd_image.zoom_shift(filtered, zoom, None, output, order, mode, cval, npad,
+                         grid_mode)
+    return output
+
+
+@docfiller
+def rotate(input, angle, axes=(1, 0), reshape=True, output=None, order=3,
+           mode='constant', cval=0.0, prefilter=True):
+    """
+    Rotate an array.
+
+    The array is rotated in the plane defined by the two axes given by the
+    `axes` parameter using spline interpolation of the requested order.
+
+    Parameters
+    ----------
+    %(input)s
+    angle : float
+        The rotation angle in degrees.
+    axes : tuple of 2 ints, optional
+        The two axes that define the plane of rotation. Default is the first
+        two axes.
+    reshape : bool, optional
+        If `reshape` is true, the output shape is adapted so that the input
+        array is contained completely in the output. Default is True.
+    %(output)s
+    order : int, optional
+        The order of the spline interpolation, default is 3.
+        The order has to be in the range 0-5.
+    %(mode_interp_constant)s
+    %(cval)s
+    %(prefilter)s
+
+    Returns
+    -------
+    rotate : ndarray
+        The rotated input.
+
+    Notes
+    -----
+    For complex-valued `input`, this function rotates the real and imaginary
+    components independently.
+
+    .. versionadded:: 1.6.0
+        Complex-valued support added.
+
+    Examples
+    --------
+    >>> from scipy import ndimage, datasets
+    >>> import matplotlib.pyplot as plt
+    >>> fig = plt.figure(figsize=(10, 3))
+    >>> ax1, ax2, ax3 = fig.subplots(1, 3)
+    >>> img = datasets.ascent()
+    >>> img_45 = ndimage.rotate(img, 45, reshape=False)
+    >>> full_img_45 = ndimage.rotate(img, 45, reshape=True)
+    >>> ax1.imshow(img, cmap='gray')
+    >>> ax1.set_axis_off()
+    >>> ax2.imshow(img_45, cmap='gray')
+    >>> ax2.set_axis_off()
+    >>> ax3.imshow(full_img_45, cmap='gray')
+    >>> ax3.set_axis_off()
+    >>> fig.set_layout_engine('tight')
+    >>> plt.show()
+    >>> print(img.shape)
+    (512, 512)
+    >>> print(img_45.shape)
+    (512, 512)
+    >>> print(full_img_45.shape)
+    (724, 724)
+
+    """
+    input_arr = np.asarray(input)
+    ndim = input_arr.ndim
+
+    if ndim < 2:
+        raise ValueError('input array should be at least 2D')
+
+    axes = list(axes)
+
+    if len(axes) != 2:
+        raise ValueError('axes should contain exactly two values')
+
+    if not all([float(ax).is_integer() for ax in axes]):
+        raise ValueError('axes should contain only integer values')
+
+    if axes[0] < 0:
+        axes[0] += ndim
+    if axes[1] < 0:
+        axes[1] += ndim
+    if axes[0] < 0 or axes[1] < 0 or axes[0] >= ndim or axes[1] >= ndim:
+        raise ValueError('invalid rotation plane specified')
+
+    axes.sort()
+
+    c, s = special.cosdg(angle), special.sindg(angle)
+
+    rot_matrix = np.array([[c, s],
+                           [-s, c]])
+
+    img_shape = np.asarray(input_arr.shape)
+    in_plane_shape = img_shape[axes]
+    if reshape:
+        # Compute transformed input bounds
+        iy, ix = in_plane_shape
+        out_bounds = rot_matrix @ [[0, 0, iy, iy],
+                                   [0, ix, 0, ix]]
+        # Compute the shape of the transformed input plane
+        out_plane_shape = (np.ptp(out_bounds, axis=1) + 0.5).astype(int)
+    else:
+        out_plane_shape = img_shape[axes]
+
+    out_center = rot_matrix @ ((out_plane_shape - 1) / 2)
+    in_center = (in_plane_shape - 1) / 2
+    offset = in_center - out_center
+
+    output_shape = img_shape
+    output_shape[axes] = out_plane_shape
+    output_shape = tuple(output_shape)
+
+    complex_output = np.iscomplexobj(input_arr)
+    output = _ni_support._get_output(output, input_arr, shape=output_shape,
+                                     complex_output=complex_output)
+
+    if ndim <= 2:
+        affine_transform(input_arr, rot_matrix, offset, output_shape, output,
+                         order, mode, cval, prefilter)
+    else:
+        # If ndim > 2, the rotation is applied over all the planes
+        # parallel to axes
+        planes_coord = itertools.product(
+            *[[slice(None)] if ax in axes else range(img_shape[ax])
+              for ax in range(ndim)])
+
+        out_plane_shape = tuple(out_plane_shape)
+
+        for coordinates in planes_coord:
+            ia = input_arr[coordinates]
+            oa = output[coordinates]
+            affine_transform(ia, rot_matrix, offset, out_plane_shape,
+                             oa, order, mode, cval, prefilter)
+
+    return output

parrot/lib/python3.10/site-packages/scipy/ndimage/_ni_docstrings.py

@@ -0,0 +1,208 @@
+"""Docstring components common to several ndimage functions."""
+from scipy._lib import doccer
+
+__all__ = ['docfiller']
+
+
+_input_doc = (
+"""input : array_like
+    The input array.""")
+_axis_doc = (
+"""axis : int, optional
+    The axis of `input` along which to calculate. Default is -1.""")
+_output_doc = (
+"""output : array or dtype, optional
+    The array in which to place the output, or the dtype of the
+    returned array. By default an array of the same dtype as input
+    will be created.""")
+_size_foot_doc = (
+"""size : scalar or tuple, optional
+    See footprint, below. Ignored if footprint is given.
+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). When `footprint` is given, `size` is ignored.""")
+_mode_reflect_doc = (
+"""mode : {'reflect', 'constant', 'nearest', 'mirror', 'wrap'}, optional
+    The `mode` parameter determines how the input array is extended
+    beyond its boundaries. Default is 'reflect'. Behavior for each valid
+    value is as follows:
+
+    'reflect' (`d c b a | a b c d | d c b a`)
+        The input is extended by reflecting about the edge of the last
+        pixel. This mode is also sometimes referred to as half-sample
+        symmetric.
+
+    'constant' (`k k k k | a b c d | k k k k`)
+        The input is extended by filling all values beyond the edge with
+        the same constant value, defined by the `cval` parameter.
+
+    'nearest' (`a a a a | a b c d | d d d d`)
+        The input is extended by replicating the last pixel.
+
+    'mirror' (`d c b | a b c d | c b a`)
+        The input is extended by reflecting about the center of the last
+        pixel. This mode is also sometimes referred to as whole-sample
+        symmetric.
+
+    'wrap' (`a b c d | a b c d | a b c d`)
+        The input is extended by wrapping around to the opposite edge.
+
+    For consistency with the interpolation functions, the following mode
+    names can also be used:
+
+    'grid-mirror'
+        This is a synonym for 'reflect'.
+
+    'grid-constant'
+        This is a synonym for 'constant'.
+
+    'grid-wrap'
+        This is a synonym for 'wrap'.""")
+
+_mode_interp_constant_doc = (
+"""mode : {'reflect', 'grid-mirror', 'constant', 'grid-constant', 'nearest', \
+'mirror', 'grid-wrap', 'wrap'}, optional
+    The `mode` parameter determines how the input array is extended
+    beyond its boundaries. Default is 'constant'. Behavior for each valid
+    value is as follows (see additional plots and details on
+    :ref:`boundary modes <ndimage-interpolation-modes>`):
+
+    'reflect' (`d c b a | a b c d | d c b a`)
+        The input is extended by reflecting about the edge of the last
+        pixel. This mode is also sometimes referred to as half-sample
+        symmetric.
+
+    'grid-mirror'
+        This is a synonym for 'reflect'.
+
+    'constant' (`k k k k | a b c d | k k k k`)
+        The input is extended by filling all values beyond the edge with
+        the same constant value, defined by the `cval` parameter. No
+        interpolation is performed beyond the edges of the input.
+
+    'grid-constant' (`k k k k | a b c d | k k k k`)
+        The input is extended by filling all values beyond the edge with
+        the same constant value, defined by the `cval` parameter. Interpolation
+        occurs for samples outside the input's extent  as well.
+
+    'nearest' (`a a a a | a b c d | d d d d`)
+        The input is extended by replicating the last pixel.
+
+    'mirror' (`d c b | a b c d | c b a`)
+        The input is extended by reflecting about the center of the last
+        pixel. This mode is also sometimes referred to as whole-sample
+        symmetric.
+
+    'grid-wrap' (`a b c d | a b c d | a b c d`)
+        The input is extended by wrapping around to the opposite edge.
+
+    'wrap' (`d b c d | a b c d | b c a b`)
+        The input is extended by wrapping around to the opposite edge, but in a
+        way such that the last point and initial point exactly overlap. In this
+        case it is not well defined which sample will be chosen at the point of
+        overlap.""")
+_mode_interp_mirror_doc = (
+    _mode_interp_constant_doc.replace("Default is 'constant'",
+                                      "Default is 'mirror'")
+)
+assert _mode_interp_mirror_doc != _mode_interp_constant_doc, \
+    'Default not replaced'
+
+_mode_multiple_doc = (
+"""mode : str or sequence, optional
+    The `mode` parameter determines how the input array is extended
+    when the filter overlaps a border. By passing a sequence of modes
+    with length equal to the number of dimensions of the input array,
+    different modes can be specified along each axis. Default value is
+    'reflect'. The valid values and their behavior is as follows:
+
+    'reflect' (`d c b a | a b c d | d c b a`)
+        The input is extended by reflecting about the edge of the last
+        pixel. This mode is also sometimes referred to as half-sample
+        symmetric.
+
+    'constant' (`k k k k | a b c d | k k k k`)
+        The input is extended by filling all values beyond the edge with
+        the same constant value, defined by the `cval` parameter.
+
+    'nearest' (`a a a a | a b c d | d d d d`)
+        The input is extended by replicating the last pixel.
+
+    'mirror' (`d c b | a b c d | c b a`)
+        The input is extended by reflecting about the center of the last
+        pixel. This mode is also sometimes referred to as whole-sample
+        symmetric.
+
+    'wrap' (`a b c d | a b c d | a b c d`)
+        The input is extended by wrapping around to the opposite edge.
+
+    For consistency with the interpolation functions, the following mode
+    names can also be used:
+
+    'grid-constant'
+        This is a synonym for 'constant'.
+
+    'grid-mirror'
+        This is a synonym for 'reflect'.
+
+    'grid-wrap'
+        This is a synonym for 'wrap'.""")
+_cval_doc = (
+"""cval : scalar, optional
+    Value to fill past edges of input if `mode` is 'constant'. Default
+    is 0.0.""")
+_origin_doc = (
+"""origin : int, optional
+    Controls the placement of the filter on the input array's pixels.
+    A value of 0 (the default) centers the filter over the pixel, with
+    positive values shifting the filter to the left, and negative ones
+    to the right.""")
+_origin_multiple_doc = (
+"""origin : int or sequence, optional
+    Controls the placement of the filter on the input array's pixels.
+    A value of 0 (the default) centers the filter over the pixel, with
+    positive values shifting the filter to the left, and negative ones
+    to the right. By passing a sequence of origins with length equal to
+    the number of dimensions of the input array, different shifts can
+    be specified along each axis.""")
+_extra_arguments_doc = (
+"""extra_arguments : sequence, optional
+    Sequence of extra positional arguments to pass to passed function.""")
+_extra_keywords_doc = (
+"""extra_keywords : dict, optional
+    dict of extra keyword arguments to pass to passed function.""")
+_prefilter_doc = (
+"""prefilter : bool, optional
+    Determines if the input array is prefiltered with `spline_filter`
+    before interpolation. The default is True, which will create a
+    temporary `float64` array of filtered values if `order > 1`. If
+    setting this to False, the output will be slightly blurred if
+    `order > 1`, unless the input is prefiltered, i.e. it is the result
+    of calling `spline_filter` on the original input.""")
+
+docdict = {
+    'input': _input_doc,
+    'axis': _axis_doc,
+    'output': _output_doc,
+    'size_foot': _size_foot_doc,
+    'mode_interp_constant': _mode_interp_constant_doc,
+    'mode_interp_mirror': _mode_interp_mirror_doc,
+    'mode_reflect': _mode_reflect_doc,
+    'mode_multiple': _mode_multiple_doc,
+    'cval': _cval_doc,
+    'origin': _origin_doc,
+    'origin_multiple': _origin_multiple_doc,
+    'extra_arguments': _extra_arguments_doc,
+    'extra_keywords': _extra_keywords_doc,
+    'prefilter': _prefilter_doc
+    }
+
+docfiller = doccer.filldoc(docdict)

parrot/lib/python3.10/site-packages/scipy/ndimage/interpolation.py

@@ -0,0 +1,22 @@
+# This file is not meant for public use and will be removed in SciPy v2.0.0.
+# Use the `scipy.ndimage` namespace for importing the functions
+# included below.
+
+from scipy._lib.deprecation import _sub_module_deprecation
+
+
+__all__ = [  # noqa: F822
+    'spline_filter1d', 'spline_filter',
+    'geometric_transform', 'map_coordinates',
+    'affine_transform', 'shift', 'zoom', 'rotate',
+]
+
+
+def __dir__():
+    return __all__
+
+
+def __getattr__(name):
+    return _sub_module_deprecation(sub_package='ndimage', module='interpolation',
+                                   private_modules=['_interpolation'], all=__all__,
+                                   attribute=name)

parrot/lib/python3.10/site-packages/scipy/ndimage/tests/__init__.py

@@ -0,0 +1,13 @@
+from __future__ import annotations
+import numpy as np
+
+# list of numarray data types
+integer_types: list[type] = [
+    np.int8, np.uint8, np.int16, np.uint16,
+    np.int32, np.uint32, np.int64, np.uint64]
+
+float_types: list[type] = [np.float32, np.float64]
+
+complex_types: list[type] = [np.complex64, np.complex128]
+
+types: list[type] = integer_types + float_types

parrot/lib/python3.10/site-packages/scipy/ndimage/tests/test_c_api.py

@@ -0,0 +1,102 @@
+import numpy as np
+from numpy.testing import assert_allclose
+
+from scipy import ndimage
+from scipy.ndimage import _ctest
+from scipy.ndimage import _cytest
+from scipy._lib._ccallback import LowLevelCallable
+
+FILTER1D_FUNCTIONS = [
+    lambda filter_size: _ctest.filter1d(filter_size),
+    lambda filter_size: _cytest.filter1d(filter_size, with_signature=False),
+    lambda filter_size: LowLevelCallable(
+                            _cytest.filter1d(filter_size, with_signature=True)
+                        ),
+    lambda filter_size: LowLevelCallable.from_cython(
+                            _cytest, "_filter1d",
+                            _cytest.filter1d_capsule(filter_size),
+                        ),
+]
+
+FILTER2D_FUNCTIONS = [
+    lambda weights: _ctest.filter2d(weights),
+    lambda weights: _cytest.filter2d(weights, with_signature=False),
+    lambda weights: LowLevelCallable(_cytest.filter2d(weights, with_signature=True)),
+    lambda weights: LowLevelCallable.from_cython(_cytest,
+                                                 "_filter2d",
+                                                 _cytest.filter2d_capsule(weights),),
+]
+
+TRANSFORM_FUNCTIONS = [
+    lambda shift: _ctest.transform(shift),
+    lambda shift: _cytest.transform(shift, with_signature=False),
+    lambda shift: LowLevelCallable(_cytest.transform(shift, with_signature=True)),
+    lambda shift: LowLevelCallable.from_cython(_cytest,
+                                               "_transform",
+                                               _cytest.transform_capsule(shift),),
+]
+
+
+def test_generic_filter():
+    def filter2d(footprint_elements, weights):
+        return (weights*footprint_elements).sum()
+
+    def check(j):
+        func = FILTER2D_FUNCTIONS[j]
+
+        im = np.ones((20, 20))
+        im[:10,:10] = 0
+        footprint = np.array([[0, 1, 0], [1, 1, 1], [0, 1, 0]])
+        footprint_size = np.count_nonzero(footprint)
+        weights = np.ones(footprint_size)/footprint_size
+
+        res = ndimage.generic_filter(im, func(weights),
+                                     footprint=footprint)
+        std = ndimage.generic_filter(im, filter2d, footprint=footprint,
+                                     extra_arguments=(weights,))
+        assert_allclose(res, std, err_msg=f"#{j} failed")
+
+    for j, func in enumerate(FILTER2D_FUNCTIONS):
+        check(j)
+
+
+def test_generic_filter1d():
+    def filter1d(input_line, output_line, filter_size):
+        for i in range(output_line.size):
+            output_line[i] = 0
+            for j in range(filter_size):
+                output_line[i] += input_line[i+j]
+        output_line /= filter_size
+
+    def check(j):
+        func = FILTER1D_FUNCTIONS[j]
+
+        im = np.tile(np.hstack((np.zeros(10), np.ones(10))), (10, 1))
+        filter_size = 3
+
+        res = ndimage.generic_filter1d(im, func(filter_size),
+                                       filter_size)
+        std = ndimage.generic_filter1d(im, filter1d, filter_size,
+                                       extra_arguments=(filter_size,))
+        assert_allclose(res, std, err_msg=f"#{j} failed")
+
+    for j, func in enumerate(FILTER1D_FUNCTIONS):
+        check(j)
+
+
+def test_geometric_transform():
+    def transform(output_coordinates, shift):
+        return output_coordinates[0] - shift, output_coordinates[1] - shift
+
+    def check(j):
+        func = TRANSFORM_FUNCTIONS[j]
+
+        im = np.arange(12).reshape(4, 3).astype(np.float64)
+        shift = 0.5
+
+        res = ndimage.geometric_transform(im, func(shift))
+        std = ndimage.geometric_transform(im, transform, extra_arguments=(shift,))
+        assert_allclose(res, std, err_msg=f"#{j} failed")
+
+    for j, func in enumerate(TRANSFORM_FUNCTIONS):
+        check(j)

parrot/lib/python3.10/site-packages/scipy/ndimage/tests/test_datatypes.py

@@ -0,0 +1,66 @@
+""" Testing data types for ndimage calls
+"""
+import numpy as np
+from numpy.testing import assert_array_almost_equal, assert_
+import pytest
+
+from scipy import ndimage
+
+
+def test_map_coordinates_dts():
+    # check that ndimage accepts different data types for interpolation
+    data = np.array([[4, 1, 3, 2],
+                     [7, 6, 8, 5],
+                     [3, 5, 3, 6]])
+    shifted_data = np.array([[0, 0, 0, 0],
+                             [0, 4, 1, 3],
+                             [0, 7, 6, 8]])
+    idx = np.indices(data.shape)
+    dts = (np.uint8, np.uint16, np.uint32, np.uint64,
+           np.int8, np.int16, np.int32, np.int64,
+           np.intp, np.uintp, np.float32, np.float64)
+    for order in range(0, 6):
+        for data_dt in dts:
+            these_data = data.astype(data_dt)
+            for coord_dt in dts:
+                # affine mapping
+                mat = np.eye(2, dtype=coord_dt)
+                off = np.zeros((2,), dtype=coord_dt)
+                out = ndimage.affine_transform(these_data, mat, off)
+                assert_array_almost_equal(these_data, out)
+                # map coordinates
+                coords_m1 = idx.astype(coord_dt) - 1
+                coords_p10 = idx.astype(coord_dt) + 10
+                out = ndimage.map_coordinates(these_data, coords_m1, order=order)
+                assert_array_almost_equal(out, shifted_data)
+                # check constant fill works
+                out = ndimage.map_coordinates(these_data, coords_p10, order=order)
+                assert_array_almost_equal(out, np.zeros((3,4)))
+            # check shift and zoom
+            out = ndimage.shift(these_data, 1)
+            assert_array_almost_equal(out, shifted_data)
+            out = ndimage.zoom(these_data, 1)
+            assert_array_almost_equal(these_data, out)
+
+
+@pytest.mark.xfail(True, reason="Broken on many platforms")
+def test_uint64_max():
+    # Test interpolation respects uint64 max.  Reported to fail at least on
+    # win32 (due to the 32 bit visual C compiler using signed int64 when
+    # converting between uint64 to double) and Debian on s390x.
+    # Interpolation is always done in double precision floating point, so
+    # we use the largest uint64 value for which int(float(big)) still fits
+    # in a uint64.
+    # This test was last enabled on macOS only, and there it started failing
+    # on arm64 as well (see gh-19117).
+    big = 2**64 - 1025
+    arr = np.array([big, big, big], dtype=np.uint64)
+    # Tests geometric transform (map_coordinates, affine_transform)
+    inds = np.indices(arr.shape) - 0.1
+    x = ndimage.map_coordinates(arr, inds)
+    assert_(x[1] == int(float(big)))
+    assert_(x[2] == int(float(big)))
+    # Tests zoom / shift
+    x = ndimage.shift(arr, 0.1)
+    assert_(x[1] == int(float(big)))
+    assert_(x[2] == int(float(big)))

parrot/lib/python3.10/site-packages/scipy/ndimage/tests/test_filters.py

@@ -0,0 +1,2214 @@
+''' Some tests for filters '''
+import functools
+import itertools
+import math
+import numpy as np
+
+from numpy.testing import (assert_equal, assert_allclose,
+                           assert_array_almost_equal,
+                           assert_array_equal, assert_almost_equal,
+                           suppress_warnings, assert_)
+import pytest
+from pytest import raises as assert_raises
+
+from scipy import ndimage
+from scipy.ndimage._filters import _gaussian_kernel1d
+
+from . import types, float_types, complex_types
+
+
+def sumsq(a, b):
+    return math.sqrt(((a - b)**2).sum())
+
+
+def _complex_correlate(array, kernel, real_dtype, convolve=False,
+                       mode="reflect", cval=0, ):
+    """Utility to perform a reference complex-valued convolutions.
+
+    When convolve==False, correlation is performed instead
+    """
+    array = np.asarray(array)
+    kernel = np.asarray(kernel)
+    complex_array = array.dtype.kind == 'c'
+    complex_kernel = kernel.dtype.kind == 'c'
+    if array.ndim == 1:
+        func = ndimage.convolve1d if convolve else ndimage.correlate1d
+    else:
+        func = ndimage.convolve if convolve else ndimage.correlate
+    if not convolve:
+        kernel = kernel.conj()
+    if complex_array and complex_kernel:
+        # use: real(cval) for array.real component
+        #      imag(cval) for array.imag component
+        output = (
+            func(array.real, kernel.real, output=real_dtype,
+                 mode=mode, cval=np.real(cval)) -
+            func(array.imag, kernel.imag, output=real_dtype,
+                 mode=mode, cval=np.imag(cval)) +
+            1j * func(array.imag, kernel.real, output=real_dtype,
+                      mode=mode, cval=np.imag(cval)) +
+            1j * func(array.real, kernel.imag, output=real_dtype,
+                      mode=mode, cval=np.real(cval))
+        )
+    elif complex_array:
+        output = (
+            func(array.real, kernel, output=real_dtype, mode=mode,
+                 cval=np.real(cval)) +
+            1j * func(array.imag, kernel, output=real_dtype, mode=mode,
+                      cval=np.imag(cval))
+        )
+    elif complex_kernel:
+        # real array so cval is real too
+        output = (
+            func(array, kernel.real, output=real_dtype, mode=mode, cval=cval) +
+            1j * func(array, kernel.imag, output=real_dtype, mode=mode,
+                      cval=cval)
+        )
+    return output
+
+
+def _cases_axes_tuple_length_mismatch():
+    # Generate combinations of filter function, valid kwargs, and
+    # keyword-value pairs for which the value will become with mismatched
+    # (invalid) size
+    filter_func = ndimage.gaussian_filter
+    kwargs = dict(radius=3, mode='constant', sigma=1.0, order=0)
+    for key, val in kwargs.items():
+        yield filter_func, kwargs, key, val
+
+    filter_funcs = [ndimage.uniform_filter, ndimage.minimum_filter,
+                    ndimage.maximum_filter]
+    kwargs = dict(size=3, mode='constant', origin=0)
+    for filter_func in filter_funcs:
+        for key, val in kwargs.items():
+            yield filter_func, kwargs, key, val
+
+
+class TestNdimageFilters:
+
+    def _validate_complex(self, array, kernel, type2, mode='reflect', cval=0):
+        # utility for validating complex-valued correlations
+        real_dtype = np.asarray([], dtype=type2).real.dtype
+        expected = _complex_correlate(
+            array, kernel, real_dtype, convolve=False, mode=mode, cval=cval
+        )
+
+        if array.ndim == 1:
+            correlate = functools.partial(ndimage.correlate1d, axis=-1,
+                                          mode=mode, cval=cval)
+            convolve = functools.partial(ndimage.convolve1d, axis=-1,
+                                         mode=mode, cval=cval)
+        else:
+            correlate = functools.partial(ndimage.correlate, mode=mode,
+                                          cval=cval)
+            convolve = functools.partial(ndimage.convolve, mode=mode,
+                                          cval=cval)
+
+        # test correlate output dtype
+        output = correlate(array, kernel, output=type2)
+        assert_array_almost_equal(expected, output)
+        assert_equal(output.dtype.type, type2)
+
+        # test correlate with pre-allocated output
+        output = np.zeros_like(array, dtype=type2)
+        correlate(array, kernel, output=output)
+        assert_array_almost_equal(expected, output)
+
+        # test convolve output dtype
+        output = convolve(array, kernel, output=type2)
+        expected = _complex_correlate(
+            array, kernel, real_dtype, convolve=True, mode=mode, cval=cval,
+        )
+        assert_array_almost_equal(expected, output)
+        assert_equal(output.dtype.type, type2)
+
+        # convolve with pre-allocated output
+        convolve(array, kernel, output=output)
+        assert_array_almost_equal(expected, output)
+        assert_equal(output.dtype.type, type2)
+
+        # warns if the output is not a complex dtype
+        with pytest.warns(UserWarning,
+                          match="promoting specified output dtype to complex"):
+            correlate(array, kernel, output=real_dtype)
+
+        with pytest.warns(UserWarning,
+                          match="promoting specified output dtype to complex"):
+            convolve(array, kernel, output=real_dtype)
+
+        # raises if output array is provided, but is not complex-valued
+        output_real = np.zeros_like(array, dtype=real_dtype)
+        with assert_raises(RuntimeError):
+            correlate(array, kernel, output=output_real)
+
+        with assert_raises(RuntimeError):
+            convolve(array, kernel, output=output_real)
+
+    def test_correlate01(self):
+        array = np.array([1, 2])
+        weights = np.array([2])
+        expected = [2, 4]
+
+        output = ndimage.correlate(array, weights)
+        assert_array_almost_equal(output, expected)
+
+        output = ndimage.convolve(array, weights)
+        assert_array_almost_equal(output, expected)
+
+        output = ndimage.correlate1d(array, weights)
+        assert_array_almost_equal(output, expected)
+
+        output = ndimage.convolve1d(array, weights)
+        assert_array_almost_equal(output, expected)
+
+    def test_correlate01_overlap(self):
+        array = np.arange(256).reshape(16, 16)
+        weights = np.array([2])
+        expected = 2 * array
+
+        ndimage.correlate1d(array, weights, output=array)
+        assert_array_almost_equal(array, expected)
+
+    def test_correlate02(self):
+        array = np.array([1, 2, 3])
+        kernel = np.array([1])
+
+        output = ndimage.correlate(array, kernel)
+        assert_array_almost_equal(array, output)
+
+        output = ndimage.convolve(array, kernel)
+        assert_array_almost_equal(array, output)
+
+        output = ndimage.correlate1d(array, kernel)
+        assert_array_almost_equal(array, output)
+
+        output = ndimage.convolve1d(array, kernel)
+        assert_array_almost_equal(array, output)
+
+    def test_correlate03(self):
+        array = np.array([1])
+        weights = np.array([1, 1])
+        expected = [2]
+
+        output = ndimage.correlate(array, weights)
+        assert_array_almost_equal(output, expected)
+
+        output = ndimage.convolve(array, weights)
+        assert_array_almost_equal(output, expected)
+
+        output = ndimage.correlate1d(array, weights)
+        assert_array_almost_equal(output, expected)
+
+        output = ndimage.convolve1d(array, weights)
+        assert_array_almost_equal(output, expected)
+
+    def test_correlate04(self):
+        array = np.array([1, 2])
+        tcor = [2, 3]
+        tcov = [3, 4]
+        weights = np.array([1, 1])
+        output = ndimage.correlate(array, weights)
+        assert_array_almost_equal(output, tcor)
+        output = ndimage.convolve(array, weights)
+        assert_array_almost_equal(output, tcov)
+        output = ndimage.correlate1d(array, weights)
+        assert_array_almost_equal(output, tcor)
+        output = ndimage.convolve1d(array, weights)
+        assert_array_almost_equal(output, tcov)
+
+    def test_correlate05(self):
+        array = np.array([1, 2, 3])
+        tcor = [2, 3, 5]
+        tcov = [3, 5, 6]
+        kernel = np.array([1, 1])
+        output = ndimage.correlate(array, kernel)
+        assert_array_almost_equal(tcor, output)
+        output = ndimage.convolve(array, kernel)
+        assert_array_almost_equal(tcov, output)
+        output = ndimage.correlate1d(array, kernel)
+        assert_array_almost_equal(tcor, output)
+        output = ndimage.convolve1d(array, kernel)
+        assert_array_almost_equal(tcov, output)
+
+    def test_correlate06(self):
+        array = np.array([1, 2, 3])
+        tcor = [9, 14, 17]
+        tcov = [7, 10, 15]
+        weights = np.array([1, 2, 3])
+        output = ndimage.correlate(array, weights)
+        assert_array_almost_equal(output, tcor)
+        output = ndimage.convolve(array, weights)
+        assert_array_almost_equal(output, tcov)
+        output = ndimage.correlate1d(array, weights)
+        assert_array_almost_equal(output, tcor)
+        output = ndimage.convolve1d(array, weights)
+        assert_array_almost_equal(output, tcov)
+
+    def test_correlate07(self):
+        array = np.array([1, 2, 3])
+        expected = [5, 8, 11]
+        weights = np.array([1, 2, 1])
+        output = ndimage.correlate(array, weights)
+        assert_array_almost_equal(output, expected)
+        output = ndimage.convolve(array, weights)
+        assert_array_almost_equal(output, expected)
+        output = ndimage.correlate1d(array, weights)
+        assert_array_almost_equal(output, expected)
+        output = ndimage.convolve1d(array, weights)
+        assert_array_almost_equal(output, expected)
+
+    def test_correlate08(self):
+        array = np.array([1, 2, 3])
+        tcor = [1, 2, 5]
+        tcov = [3, 6, 7]
+        weights = np.array([1, 2, -1])
+        output = ndimage.correlate(array, weights)
+        assert_array_almost_equal(output, tcor)
+        output = ndimage.convolve(array, weights)
+        assert_array_almost_equal(output, tcov)
+        output = ndimage.correlate1d(array, weights)
+        assert_array_almost_equal(output, tcor)
+        output = ndimage.convolve1d(array, weights)
+        assert_array_almost_equal(output, tcov)
+
+    def test_correlate09(self):
+        array = []
+        kernel = np.array([1, 1])
+        output = ndimage.correlate(array, kernel)
+        assert_array_almost_equal(array, output)
+        output = ndimage.convolve(array, kernel)
+        assert_array_almost_equal(array, output)
+        output = ndimage.correlate1d(array, kernel)
+        assert_array_almost_equal(array, output)
+        output = ndimage.convolve1d(array, kernel)
+        assert_array_almost_equal(array, output)
+
+    def test_correlate10(self):
+        array = [[]]
+        kernel = np.array([[1, 1]])
+        output = ndimage.correlate(array, kernel)
+        assert_array_almost_equal(array, output)
+        output = ndimage.convolve(array, kernel)
+        assert_array_almost_equal(array, output)
+
+    def test_correlate11(self):
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]])
+        kernel = np.array([[1, 1],
+                           [1, 1]])
+        output = ndimage.correlate(array, kernel)
+        assert_array_almost_equal([[4, 6, 10], [10, 12, 16]], output)
+        output = ndimage.convolve(array, kernel)
+        assert_array_almost_equal([[12, 16, 18], [18, 22, 24]], output)
+
+    def test_correlate12(self):
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]])
+        kernel = np.array([[1, 0],
+                           [0, 1]])
+        output = ndimage.correlate(array, kernel)
+        assert_array_almost_equal([[2, 3, 5], [5, 6, 8]], output)
+        output = ndimage.convolve(array, kernel)
+        assert_array_almost_equal([[6, 8, 9], [9, 11, 12]], output)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    @pytest.mark.parametrize('dtype_kernel', types)
+    def test_correlate13(self, dtype_array, dtype_kernel):
+        kernel = np.array([[1, 0],
+                              [0, 1]])
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]], dtype_array)
+        output = ndimage.correlate(array, kernel, output=dtype_kernel)
+        assert_array_almost_equal([[2, 3, 5], [5, 6, 8]], output)
+        assert_equal(output.dtype.type, dtype_kernel)
+
+        output = ndimage.convolve(array, kernel,
+                                  output=dtype_kernel)
+        assert_array_almost_equal([[6, 8, 9], [9, 11, 12]], output)
+        assert_equal(output.dtype.type, dtype_kernel)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    @pytest.mark.parametrize('dtype_output', types)
+    def test_correlate14(self, dtype_array, dtype_output):
+        kernel = np.array([[1, 0],
+                           [0, 1]])
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]], dtype_array)
+        output = np.zeros(array.shape, dtype_output)
+        ndimage.correlate(array, kernel, output=output)
+        assert_array_almost_equal([[2, 3, 5], [5, 6, 8]], output)
+        assert_equal(output.dtype.type, dtype_output)
+
+        ndimage.convolve(array, kernel, output=output)
+        assert_array_almost_equal([[6, 8, 9], [9, 11, 12]], output)
+        assert_equal(output.dtype.type, dtype_output)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    def test_correlate15(self, dtype_array):
+        kernel = np.array([[1, 0],
+                           [0, 1]])
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]], dtype_array)
+        output = ndimage.correlate(array, kernel, output=np.float32)
+        assert_array_almost_equal([[2, 3, 5], [5, 6, 8]], output)
+        assert_equal(output.dtype.type, np.float32)
+
+        output = ndimage.convolve(array, kernel, output=np.float32)
+        assert_array_almost_equal([[6, 8, 9], [9, 11, 12]], output)
+        assert_equal(output.dtype.type, np.float32)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    def test_correlate16(self, dtype_array):
+        kernel = np.array([[0.5, 0],
+                           [0, 0.5]])
+        array = np.array([[1, 2, 3], [4, 5, 6]], dtype_array)
+        output = ndimage.correlate(array, kernel, output=np.float32)
+        assert_array_almost_equal([[1, 1.5, 2.5], [2.5, 3, 4]], output)
+        assert_equal(output.dtype.type, np.float32)
+
+        output = ndimage.convolve(array, kernel, output=np.float32)
+        assert_array_almost_equal([[3, 4, 4.5], [4.5, 5.5, 6]], output)
+        assert_equal(output.dtype.type, np.float32)
+
+    def test_correlate17(self):
+        array = np.array([1, 2, 3])
+        tcor = [3, 5, 6]
+        tcov = [2, 3, 5]
+        kernel = np.array([1, 1])
+        output = ndimage.correlate(array, kernel, origin=-1)
+        assert_array_almost_equal(tcor, output)
+        output = ndimage.convolve(array, kernel, origin=-1)
+        assert_array_almost_equal(tcov, output)
+        output = ndimage.correlate1d(array, kernel, origin=-1)
+        assert_array_almost_equal(tcor, output)
+        output = ndimage.convolve1d(array, kernel, origin=-1)
+        assert_array_almost_equal(tcov, output)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    def test_correlate18(self, dtype_array):
+        kernel = np.array([[1, 0],
+                           [0, 1]])
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]], dtype_array)
+        output = ndimage.correlate(array, kernel,
+                                   output=np.float32,
+                                   mode='nearest', origin=-1)
+        assert_array_almost_equal([[6, 8, 9], [9, 11, 12]], output)
+        assert_equal(output.dtype.type, np.float32)
+
+        output = ndimage.convolve(array, kernel,
+                                  output=np.float32,
+                                  mode='nearest', origin=-1)
+        assert_array_almost_equal([[2, 3, 5], [5, 6, 8]], output)
+        assert_equal(output.dtype.type, np.float32)
+
+    def test_correlate_mode_sequence(self):
+        kernel = np.ones((2, 2))
+        array = np.ones((3, 3), float)
+        with assert_raises(RuntimeError):
+            ndimage.correlate(array, kernel, mode=['nearest', 'reflect'])
+        with assert_raises(RuntimeError):
+            ndimage.convolve(array, kernel, mode=['nearest', 'reflect'])
+
+    @pytest.mark.parametrize('dtype_array', types)
+    def test_correlate19(self, dtype_array):
+        kernel = np.array([[1, 0],
+                           [0, 1]])
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]], dtype_array)
+        output = ndimage.correlate(array, kernel,
+                                   output=np.float32,
+                                   mode='nearest', origin=[-1, 0])
+        assert_array_almost_equal([[5, 6, 8], [8, 9, 11]], output)
+        assert_equal(output.dtype.type, np.float32)
+
+        output = ndimage.convolve(array, kernel,
+                                  output=np.float32,
+                                  mode='nearest', origin=[-1, 0])
+        assert_array_almost_equal([[3, 5, 6], [6, 8, 9]], output)
+        assert_equal(output.dtype.type, np.float32)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    @pytest.mark.parametrize('dtype_output', types)
+    def test_correlate20(self, dtype_array, dtype_output):
+        weights = np.array([1, 2, 1])
+        expected = [[5, 10, 15], [7, 14, 21]]
+        array = np.array([[1, 2, 3],
+                          [2, 4, 6]], dtype_array)
+        output = np.zeros((2, 3), dtype_output)
+        ndimage.correlate1d(array, weights, axis=0, output=output)
+        assert_array_almost_equal(output, expected)
+        ndimage.convolve1d(array, weights, axis=0, output=output)
+        assert_array_almost_equal(output, expected)
+
+    def test_correlate21(self):
+        array = np.array([[1, 2, 3],
+                          [2, 4, 6]])
+        expected = [[5, 10, 15], [7, 14, 21]]
+        weights = np.array([1, 2, 1])
+        output = ndimage.correlate1d(array, weights, axis=0)
+        assert_array_almost_equal(output, expected)
+        output = ndimage.convolve1d(array, weights, axis=0)
+        assert_array_almost_equal(output, expected)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    @pytest.mark.parametrize('dtype_output', types)
+    def test_correlate22(self, dtype_array, dtype_output):
+        weights = np.array([1, 2, 1])
+        expected = [[6, 12, 18], [6, 12, 18]]
+        array = np.array([[1, 2, 3],
+                          [2, 4, 6]], dtype_array)
+        output = np.zeros((2, 3), dtype_output)
+        ndimage.correlate1d(array, weights, axis=0,
+                            mode='wrap', output=output)
+        assert_array_almost_equal(output, expected)
+        ndimage.convolve1d(array, weights, axis=0,
+                           mode='wrap', output=output)
+        assert_array_almost_equal(output, expected)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    @pytest.mark.parametrize('dtype_output', types)
+    def test_correlate23(self, dtype_array, dtype_output):
+        weights = np.array([1, 2, 1])
+        expected = [[5, 10, 15], [7, 14, 21]]
+        array = np.array([[1, 2, 3],
+                          [2, 4, 6]], dtype_array)
+        output = np.zeros((2, 3), dtype_output)
+        ndimage.correlate1d(array, weights, axis=0,
+                            mode='nearest', output=output)
+        assert_array_almost_equal(output, expected)
+        ndimage.convolve1d(array, weights, axis=0,
+                           mode='nearest', output=output)
+        assert_array_almost_equal(output, expected)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    @pytest.mark.parametrize('dtype_output', types)
+    def test_correlate24(self, dtype_array, dtype_output):
+        weights = np.array([1, 2, 1])
+        tcor = [[7, 14, 21], [8, 16, 24]]
+        tcov = [[4, 8, 12], [5, 10, 15]]
+        array = np.array([[1, 2, 3],
+                          [2, 4, 6]], dtype_array)
+        output = np.zeros((2, 3), dtype_output)
+        ndimage.correlate1d(array, weights, axis=0,
+                            mode='nearest', output=output, origin=-1)
+        assert_array_almost_equal(output, tcor)
+        ndimage.convolve1d(array, weights, axis=0,
+                           mode='nearest', output=output, origin=-1)
+        assert_array_almost_equal(output, tcov)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    @pytest.mark.parametrize('dtype_output', types)
+    def test_correlate25(self, dtype_array, dtype_output):
+        weights = np.array([1, 2, 1])
+        tcor = [[4, 8, 12], [5, 10, 15]]
+        tcov = [[7, 14, 21], [8, 16, 24]]
+        array = np.array([[1, 2, 3],
+                          [2, 4, 6]], dtype_array)
+        output = np.zeros((2, 3), dtype_output)
+        ndimage.correlate1d(array, weights, axis=0,
+                            mode='nearest', output=output, origin=1)
+        assert_array_almost_equal(output, tcor)
+        ndimage.convolve1d(array, weights, axis=0,
+                           mode='nearest', output=output, origin=1)
+        assert_array_almost_equal(output, tcov)
+
+    def test_correlate26(self):
+        # test fix for gh-11661 (mirror extension of a length 1 signal)
+        y = ndimage.convolve1d(np.ones(1), np.ones(5), mode='mirror')
+        assert_array_equal(y, np.array(5.))
+
+        y = ndimage.correlate1d(np.ones(1), np.ones(5), mode='mirror')
+        assert_array_equal(y, np.array(5.))
+
+    @pytest.mark.parametrize('dtype_kernel', complex_types)
+    @pytest.mark.parametrize('dtype_input', types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate_complex_kernel(self, dtype_input, dtype_kernel,
+                                      dtype_output):
+        kernel = np.array([[1, 0],
+                           [0, 1 + 1j]], dtype_kernel)
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]], dtype_input)
+        self._validate_complex(array, kernel, dtype_output)
+
+    @pytest.mark.parametrize('dtype_kernel', complex_types)
+    @pytest.mark.parametrize('dtype_input', types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    @pytest.mark.parametrize('mode', ['grid-constant', 'constant'])
+    def test_correlate_complex_kernel_cval(self, dtype_input, dtype_kernel,
+                                           dtype_output, mode):
+        # test use of non-zero cval with complex inputs
+        # also verifies that mode 'grid-constant' does not segfault
+        kernel = np.array([[1, 0],
+                           [0, 1 + 1j]], dtype_kernel)
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]], dtype_input)
+        self._validate_complex(array, kernel, dtype_output, mode=mode,
+                               cval=5.0)
+
+    @pytest.mark.parametrize('dtype_kernel', complex_types)
+    @pytest.mark.parametrize('dtype_input', types)
+    def test_correlate_complex_kernel_invalid_cval(self, dtype_input,
+                                                   dtype_kernel):
+        # cannot give complex cval with a real image
+        kernel = np.array([[1, 0],
+                           [0, 1 + 1j]], dtype_kernel)
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]], dtype_input)
+        for func in [ndimage.convolve, ndimage.correlate, ndimage.convolve1d,
+                     ndimage.correlate1d]:
+            with pytest.raises(ValueError):
+                func(array, kernel, mode='constant', cval=5.0 + 1.0j,
+                     output=np.complex64)
+
+    @pytest.mark.parametrize('dtype_kernel', complex_types)
+    @pytest.mark.parametrize('dtype_input', types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate1d_complex_kernel(self, dtype_input, dtype_kernel,
+                                        dtype_output):
+        kernel = np.array([1, 1 + 1j], dtype_kernel)
+        array = np.array([1, 2, 3, 4, 5, 6], dtype_input)
+        self._validate_complex(array, kernel, dtype_output)
+
+    @pytest.mark.parametrize('dtype_kernel', complex_types)
+    @pytest.mark.parametrize('dtype_input', types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate1d_complex_kernel_cval(self, dtype_input, dtype_kernel,
+                                             dtype_output):
+        kernel = np.array([1, 1 + 1j], dtype_kernel)
+        array = np.array([1, 2, 3, 4, 5, 6], dtype_input)
+        self._validate_complex(array, kernel, dtype_output, mode='constant',
+                               cval=5.0)
+
+    @pytest.mark.parametrize('dtype_kernel', types)
+    @pytest.mark.parametrize('dtype_input', complex_types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate_complex_input(self, dtype_input, dtype_kernel,
+                                     dtype_output):
+        kernel = np.array([[1, 0],
+                           [0, 1]], dtype_kernel)
+        array = np.array([[1, 2j, 3],
+                          [1 + 4j, 5, 6j]], dtype_input)
+        self._validate_complex(array, kernel, dtype_output)
+
+    @pytest.mark.parametrize('dtype_kernel', types)
+    @pytest.mark.parametrize('dtype_input', complex_types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate1d_complex_input(self, dtype_input, dtype_kernel,
+                                       dtype_output):
+        kernel = np.array([1, 0, 1], dtype_kernel)
+        array = np.array([1, 2j, 3, 1 + 4j, 5, 6j], dtype_input)
+        self._validate_complex(array, kernel, dtype_output)
+
+    @pytest.mark.parametrize('dtype_kernel', types)
+    @pytest.mark.parametrize('dtype_input', complex_types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate1d_complex_input_cval(self, dtype_input, dtype_kernel,
+                                            dtype_output):
+        kernel = np.array([1, 0, 1], dtype_kernel)
+        array = np.array([1, 2j, 3, 1 + 4j, 5, 6j], dtype_input)
+        self._validate_complex(array, kernel, dtype_output, mode='constant',
+                               cval=5 - 3j)
+
+    @pytest.mark.parametrize('dtype', complex_types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate_complex_input_and_kernel(self, dtype, dtype_output):
+        kernel = np.array([[1, 0],
+                           [0, 1 + 1j]], dtype)
+        array = np.array([[1, 2j, 3],
+                          [1 + 4j, 5, 6j]], dtype)
+        self._validate_complex(array, kernel, dtype_output)
+
+    @pytest.mark.parametrize('dtype', complex_types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate_complex_input_and_kernel_cval(self, dtype,
+                                                     dtype_output):
+        kernel = np.array([[1, 0],
+                           [0, 1 + 1j]], dtype)
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6]], dtype)
+        self._validate_complex(array, kernel, dtype_output, mode='constant',
+                               cval=5.0 + 2.0j)
+
+    @pytest.mark.parametrize('dtype', complex_types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate1d_complex_input_and_kernel(self, dtype, dtype_output):
+        kernel = np.array([1, 1 + 1j], dtype)
+        array = np.array([1, 2j, 3, 1 + 4j, 5, 6j], dtype)
+        self._validate_complex(array, kernel, dtype_output)
+
+    @pytest.mark.parametrize('dtype', complex_types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_correlate1d_complex_input_and_kernel_cval(self, dtype,
+                                                       dtype_output):
+        kernel = np.array([1, 1 + 1j], dtype)
+        array = np.array([1, 2j, 3, 1 + 4j, 5, 6j], dtype)
+        self._validate_complex(array, kernel, dtype_output, mode='constant',
+                               cval=5.0 + 2.0j)
+
+    def test_gauss01(self):
+        input = np.array([[1, 2, 3],
+                          [2, 4, 6]], np.float32)
+        output = ndimage.gaussian_filter(input, 0)
+        assert_array_almost_equal(output, input)
+
+    def test_gauss02(self):
+        input = np.array([[1, 2, 3],
+                          [2, 4, 6]], np.float32)
+        output = ndimage.gaussian_filter(input, 1.0)
+        assert_equal(input.dtype, output.dtype)
+        assert_equal(input.shape, output.shape)
+
+    def test_gauss03(self):
+        # single precision data
+        input = np.arange(100 * 100).astype(np.float32)
+        input.shape = (100, 100)
+        output = ndimage.gaussian_filter(input, [1.0, 1.0])
+
+        assert_equal(input.dtype, output.dtype)
+        assert_equal(input.shape, output.shape)
+
+        # input.sum() is 49995000.0.  With single precision floats, we can't
+        # expect more than 8 digits of accuracy, so use decimal=0 in this test.
+        assert_almost_equal(output.sum(dtype='d'), input.sum(dtype='d'),
+                            decimal=0)
+        assert_(sumsq(input, output) > 1.0)
+
+    def test_gauss04(self):
+        input = np.arange(100 * 100).astype(np.float32)
+        input.shape = (100, 100)
+        otype = np.float64
+        output = ndimage.gaussian_filter(input, [1.0, 1.0], output=otype)
+        assert_equal(output.dtype.type, np.float64)
+        assert_equal(input.shape, output.shape)
+        assert_(sumsq(input, output) > 1.0)
+
+    def test_gauss05(self):
+        input = np.arange(100 * 100).astype(np.float32)
+        input.shape = (100, 100)
+        otype = np.float64
+        output = ndimage.gaussian_filter(input, [1.0, 1.0],
+                                         order=1, output=otype)
+        assert_equal(output.dtype.type, np.float64)
+        assert_equal(input.shape, output.shape)
+        assert_(sumsq(input, output) > 1.0)
+
+    def test_gauss06(self):
+        input = np.arange(100 * 100).astype(np.float32)
+        input.shape = (100, 100)
+        otype = np.float64
+        output1 = ndimage.gaussian_filter(input, [1.0, 1.0], output=otype)
+        output2 = ndimage.gaussian_filter(input, 1.0, output=otype)
+        assert_array_almost_equal(output1, output2)
+
+    def test_gauss_memory_overlap(self):
+        input = np.arange(100 * 100).astype(np.float32)
+        input.shape = (100, 100)
+        output1 = ndimage.gaussian_filter(input, 1.0)
+        ndimage.gaussian_filter(input, 1.0, output=input)
+        assert_array_almost_equal(output1, input)
+
+    @pytest.mark.parametrize(('filter_func', 'extra_args', 'size0', 'size'),
+                             [(ndimage.gaussian_filter, (), 0, 1.0),
+                              (ndimage.uniform_filter, (), 1, 3),
+                              (ndimage.minimum_filter, (), 1, 3),
+                              (ndimage.maximum_filter, (), 1, 3),
+                              (ndimage.median_filter, (), 1, 3),
+                              (ndimage.rank_filter, (1,), 1, 3),
+                              (ndimage.percentile_filter, (40,), 1, 3)])
+    @pytest.mark.parametrize(
+        'axes',
+        tuple(itertools.combinations(range(-3, 3), 1))
+        + tuple(itertools.combinations(range(-3, 3), 2))
+        + ((0, 1, 2),))
+    def test_filter_axes(self, filter_func, extra_args, size0, size, axes):
+        # Note: `size` is called `sigma` in `gaussian_filter`
+        array = np.arange(6 * 8 * 12, dtype=np.float64).reshape(6, 8, 12)
+        axes = np.array(axes)
+
+        if len(set(axes % array.ndim)) != len(axes):
+            # parametrized cases with duplicate axes raise an error
+            with pytest.raises(ValueError, match="axes must be unique"):
+                filter_func(array, *extra_args, size, axes=axes)
+            return
+        output = filter_func(array, *extra_args, size, axes=axes)
+
+        # result should be equivalent to sigma=0.0/size=1 on unfiltered axes
+        all_sizes = (size if ax in (axes % array.ndim) else size0
+                     for ax in range(array.ndim))
+        expected = filter_func(array, *extra_args, all_sizes)
+        assert_allclose(output, expected)
+
+    kwargs_gauss = dict(radius=[4, 2, 3], order=[0, 1, 2],
+                        mode=['reflect', 'nearest', 'constant'])
+    kwargs_other = dict(origin=(-1, 0, 1),
+                        mode=['reflect', 'nearest', 'constant'])
+    kwargs_rank = dict(origin=(-1, 0, 1))
+
+    @pytest.mark.parametrize("filter_func, size0, size, kwargs",
+                             [(ndimage.gaussian_filter, 0, 1.0, kwargs_gauss),
+                              (ndimage.uniform_filter, 1, 3, kwargs_other),
+                              (ndimage.maximum_filter, 1, 3, kwargs_other),
+                              (ndimage.minimum_filter, 1, 3, kwargs_other),
+                              (ndimage.median_filter, 1, 3, kwargs_rank),
+                              (ndimage.rank_filter, 1, 3, kwargs_rank),
+                              (ndimage.percentile_filter, 1, 3, kwargs_rank)])
+    @pytest.mark.parametrize('axes', itertools.combinations(range(-3, 3), 2))
+    def test_filter_axes_kwargs(self, filter_func, size0, size, kwargs, axes):
+        array = np.arange(6 * 8 * 12, dtype=np.float64).reshape(6, 8, 12)
+
+        kwargs = {key: np.array(val) for key, val in kwargs.items()}
+        axes = np.array(axes)
+        n_axes = axes.size
+
+        if filter_func == ndimage.rank_filter:
+            args = (2,)  # (rank,)
+        elif filter_func == ndimage.percentile_filter:
+            args = (30,)  # (percentile,)
+        else:
+            args = ()
+
+        # form kwargs that specify only the axes in `axes`
+        reduced_kwargs = {key: val[axes] for key, val in kwargs.items()}
+        if len(set(axes % array.ndim)) != len(axes):
+            # parametrized cases with duplicate axes raise an error
+            with pytest.raises(ValueError, match="axes must be unique"):
+                filter_func(array, *args, [size]*n_axes, axes=axes,
+                            **reduced_kwargs)
+            return
+
+        output = filter_func(array, *args, [size]*n_axes, axes=axes,
+                             **reduced_kwargs)
+
+        # result should be equivalent to sigma=0.0/size=1 on unfiltered axes
+        size_3d = np.full(array.ndim, fill_value=size0)
+        size_3d[axes] = size
+        if 'origin' in kwargs:
+            # origin should be zero on the axis that has size 0
+            origin = np.array([0, 0, 0])
+            origin[axes] = reduced_kwargs['origin']
+            kwargs['origin'] = origin
+        expected = filter_func(array, *args, size_3d, **kwargs)
+        assert_allclose(output, expected)
+
+    @pytest.mark.parametrize("filter_func, kwargs",
+                             [(ndimage.minimum_filter, {}),
+                              (ndimage.maximum_filter, {}),
+                              (ndimage.median_filter, {}),
+                              (ndimage.rank_filter, {"rank": 1}),
+                              (ndimage.percentile_filter, {"percentile": 30})])
+    def test_filter_weights_subset_axes_origins(self, filter_func, kwargs):
+        axes = (-2, -1)
+        origins = (0, 1)
+        array = np.arange(6 * 8 * 12, dtype=np.float64).reshape(6, 8, 12)
+        axes = np.array(axes)
+
+        # weights with ndim matching len(axes)
+        footprint = np.ones((3, 5), dtype=bool)
+        footprint[0, 1] = 0  # make non-separable
+
+        output = filter_func(
+            array, footprint=footprint, axes=axes, origin=origins, **kwargs)
+
+        output0 = filter_func(
+            array, footprint=footprint, axes=axes, origin=0, **kwargs)
+
+        # output has origin shift on last axis relative to output0, so
+        # expect shifted arrays to be equal.
+        np.testing.assert_array_equal(output[:, :, 1:], output0[:, :, :-1])
+
+    @pytest.mark.parametrize(
+        'filter_func, args',
+        [(ndimage.gaussian_filter, (1.0,)),      # args = (sigma,)
+         (ndimage.uniform_filter, (3,)),         # args = (size,)
+         (ndimage.minimum_filter, (3,)),         # args = (size,)
+         (ndimage.maximum_filter, (3,)),         # args = (size,)
+         (ndimage.median_filter, (3,)),          # args = (size,)
+         (ndimage.rank_filter, (2, 3)),          # args = (rank, size)
+         (ndimage.percentile_filter, (30, 3))])  # args = (percentile, size)
+    @pytest.mark.parametrize(
+        'axes', [(1.5,), (0, 1, 2, 3), (3,), (-4,)]
+    )
+    def test_filter_invalid_axes(self, filter_func, args, axes):
+        array = np.arange(6 * 8 * 12, dtype=np.float64).reshape(6, 8, 12)
+        if any(isinstance(ax, float) for ax in axes):
+            error_class = TypeError
+            match = "cannot be interpreted as an integer"
+        else:
+            error_class = ValueError
+            match = "out of range"
+        with pytest.raises(error_class, match=match):
+            filter_func(array, *args, axes=axes)
+
+    @pytest.mark.parametrize(
+        'filter_func, kwargs',
+        [(ndimage.minimum_filter, {}),
+         (ndimage.maximum_filter, {}),
+         (ndimage.median_filter, {}),
+         (ndimage.rank_filter, dict(rank=3)),
+         (ndimage.percentile_filter, dict(percentile=30))])
+    @pytest.mark.parametrize(
+        'axes', [(0, ), (1, 2), (0, 1, 2)]
+    )
+    @pytest.mark.parametrize('separable_footprint', [False, True])
+    def test_filter_invalid_footprint_ndim(self, filter_func, kwargs, axes,
+                                           separable_footprint):
+        array = np.arange(6 * 8 * 12, dtype=np.float64).reshape(6, 8, 12)
+        # create a footprint with one too many dimensions
+        footprint = np.ones((3,) * (len(axes) + 1))
+        if not separable_footprint:
+            footprint[(0,) * footprint.ndim] = 0
+        if (filter_func in [ndimage.minimum_filter, ndimage.maximum_filter]
+            and separable_footprint):
+            match = "sequence argument must have length equal to input rank"
+        else:
+            match = "footprint array has incorrect shape"
+        with pytest.raises(RuntimeError, match=match):
+            filter_func(array, **kwargs, footprint=footprint, axes=axes)
+
+    @pytest.mark.parametrize('n_mismatch', [1, 3])
+    @pytest.mark.parametrize('filter_func, kwargs, key, val',
+                             _cases_axes_tuple_length_mismatch())
+    def test_filter_tuple_length_mismatch(self, n_mismatch, filter_func,
+                                          kwargs, key, val):
+        # Test for the intended RuntimeError when a kwargs has an invalid size
+        array = np.arange(6 * 8 * 12, dtype=np.float64).reshape(6, 8, 12)
+        kwargs = dict(**kwargs, axes=(0, 1))
+        kwargs[key] = (val,) * n_mismatch
+        err_msg = "sequence argument must have length equal to input rank"
+        with pytest.raises(RuntimeError, match=err_msg):
+            filter_func(array, **kwargs)
+
+    @pytest.mark.parametrize('dtype', types + complex_types)
+    def test_prewitt01(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        t = ndimage.correlate1d(array, [-1.0, 0.0, 1.0], 0)
+        t = ndimage.correlate1d(t, [1.0, 1.0, 1.0], 1)
+        output = ndimage.prewitt(array, 0)
+        assert_array_almost_equal(t, output)
+
+    @pytest.mark.parametrize('dtype', types + complex_types)
+    def test_prewitt02(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        t = ndimage.correlate1d(array, [-1.0, 0.0, 1.0], 0)
+        t = ndimage.correlate1d(t, [1.0, 1.0, 1.0], 1)
+        output = np.zeros(array.shape, dtype)
+        ndimage.prewitt(array, 0, output)
+        assert_array_almost_equal(t, output)
+
+    @pytest.mark.parametrize('dtype', types + complex_types)
+    def test_prewitt03(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        t = ndimage.correlate1d(array, [-1.0, 0.0, 1.0], 1)
+        t = ndimage.correlate1d(t, [1.0, 1.0, 1.0], 0)
+        output = ndimage.prewitt(array, 1)
+        assert_array_almost_equal(t, output)
+
+    @pytest.mark.parametrize('dtype', types + complex_types)
+    def test_prewitt04(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        t = ndimage.prewitt(array, -1)
+        output = ndimage.prewitt(array, 1)
+        assert_array_almost_equal(t, output)
+
+    @pytest.mark.parametrize('dtype', types + complex_types)
+    def test_sobel01(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        t = ndimage.correlate1d(array, [-1.0, 0.0, 1.0], 0)
+        t = ndimage.correlate1d(t, [1.0, 2.0, 1.0], 1)
+        output = ndimage.sobel(array, 0)
+        assert_array_almost_equal(t, output)
+
+    @pytest.mark.parametrize('dtype', types + complex_types)
+    def test_sobel02(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        t = ndimage.correlate1d(array, [-1.0, 0.0, 1.0], 0)
+        t = ndimage.correlate1d(t, [1.0, 2.0, 1.0], 1)
+        output = np.zeros(array.shape, dtype)
+        ndimage.sobel(array, 0, output)
+        assert_array_almost_equal(t, output)
+
+    @pytest.mark.parametrize('dtype', types + complex_types)
+    def test_sobel03(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        t = ndimage.correlate1d(array, [-1.0, 0.0, 1.0], 1)
+        t = ndimage.correlate1d(t, [1.0, 2.0, 1.0], 0)
+        output = np.zeros(array.shape, dtype)
+        output = ndimage.sobel(array, 1)
+        assert_array_almost_equal(t, output)
+
+    @pytest.mark.parametrize('dtype', types + complex_types)
+    def test_sobel04(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        t = ndimage.sobel(array, -1)
+        output = ndimage.sobel(array, 1)
+        assert_array_almost_equal(t, output)
+
+    @pytest.mark.parametrize('dtype',
+                             [np.int32, np.float32, np.float64,
+                              np.complex64, np.complex128])
+    def test_laplace01(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype) * 100
+        tmp1 = ndimage.correlate1d(array, [1, -2, 1], 0)
+        tmp2 = ndimage.correlate1d(array, [1, -2, 1], 1)
+        output = ndimage.laplace(array)
+        assert_array_almost_equal(tmp1 + tmp2, output)
+
+    @pytest.mark.parametrize('dtype',
+                             [np.int32, np.float32, np.float64,
+                              np.complex64, np.complex128])
+    def test_laplace02(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype) * 100
+        tmp1 = ndimage.correlate1d(array, [1, -2, 1], 0)
+        tmp2 = ndimage.correlate1d(array, [1, -2, 1], 1)
+        output = np.zeros(array.shape, dtype)
+        ndimage.laplace(array, output=output)
+        assert_array_almost_equal(tmp1 + tmp2, output)
+
+    @pytest.mark.parametrize('dtype',
+                             [np.int32, np.float32, np.float64,
+                              np.complex64, np.complex128])
+    def test_gaussian_laplace01(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype) * 100
+        tmp1 = ndimage.gaussian_filter(array, 1.0, [2, 0])
+        tmp2 = ndimage.gaussian_filter(array, 1.0, [0, 2])
+        output = ndimage.gaussian_laplace(array, 1.0)
+        assert_array_almost_equal(tmp1 + tmp2, output)
+
+    @pytest.mark.parametrize('dtype',
+                             [np.int32, np.float32, np.float64,
+                              np.complex64, np.complex128])
+    def test_gaussian_laplace02(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype) * 100
+        tmp1 = ndimage.gaussian_filter(array, 1.0, [2, 0])
+        tmp2 = ndimage.gaussian_filter(array, 1.0, [0, 2])
+        output = np.zeros(array.shape, dtype)
+        ndimage.gaussian_laplace(array, 1.0, output)
+        assert_array_almost_equal(tmp1 + tmp2, output)
+
+    @pytest.mark.parametrize('dtype', types + complex_types)
+    def test_generic_laplace01(self, dtype):
+        def derivative2(input, axis, output, mode, cval, a, b):
+            sigma = [a, b / 2.0]
+            input = np.asarray(input)
+            order = [0] * input.ndim
+            order[axis] = 2
+            return ndimage.gaussian_filter(input, sigma, order,
+                                           output, mode, cval)
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        output = np.zeros(array.shape, dtype)
+        tmp = ndimage.generic_laplace(array, derivative2,
+                                      extra_arguments=(1.0,),
+                                      extra_keywords={'b': 2.0})
+        ndimage.gaussian_laplace(array, 1.0, output)
+        assert_array_almost_equal(tmp, output)
+
+    @pytest.mark.parametrize('dtype',
+                             [np.int32, np.float32, np.float64,
+                              np.complex64, np.complex128])
+    def test_gaussian_gradient_magnitude01(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype) * 100
+        tmp1 = ndimage.gaussian_filter(array, 1.0, [1, 0])
+        tmp2 = ndimage.gaussian_filter(array, 1.0, [0, 1])
+        output = ndimage.gaussian_gradient_magnitude(array, 1.0)
+        expected = tmp1 * tmp1 + tmp2 * tmp2
+        expected = np.sqrt(expected).astype(dtype)
+        assert_array_almost_equal(expected, output)
+
+    @pytest.mark.parametrize('dtype',
+                             [np.int32, np.float32, np.float64,
+                              np.complex64, np.complex128])
+    def test_gaussian_gradient_magnitude02(self, dtype):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype) * 100
+        tmp1 = ndimage.gaussian_filter(array, 1.0, [1, 0])
+        tmp2 = ndimage.gaussian_filter(array, 1.0, [0, 1])
+        output = np.zeros(array.shape, dtype)
+        ndimage.gaussian_gradient_magnitude(array, 1.0, output)
+        expected = tmp1 * tmp1 + tmp2 * tmp2
+        expected = np.sqrt(expected).astype(dtype)
+        assert_array_almost_equal(expected, output)
+
+    def test_generic_gradient_magnitude01(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], np.float64)
+
+        def derivative(input, axis, output, mode, cval, a, b):
+            sigma = [a, b / 2.0]
+            input = np.asarray(input)
+            order = [0] * input.ndim
+            order[axis] = 1
+            return ndimage.gaussian_filter(input, sigma, order,
+                                           output, mode, cval)
+        tmp1 = ndimage.gaussian_gradient_magnitude(array, 1.0)
+        tmp2 = ndimage.generic_gradient_magnitude(
+            array, derivative, extra_arguments=(1.0,),
+            extra_keywords={'b': 2.0})
+        assert_array_almost_equal(tmp1, tmp2)
+
+    def test_uniform01(self):
+        array = np.array([2, 4, 6])
+        size = 2
+        output = ndimage.uniform_filter1d(array, size, origin=-1)
+        assert_array_almost_equal([3, 5, 6], output)
+
+    def test_uniform01_complex(self):
+        array = np.array([2 + 1j, 4 + 2j, 6 + 3j], dtype=np.complex128)
+        size = 2
+        output = ndimage.uniform_filter1d(array, size, origin=-1)
+        assert_array_almost_equal([3, 5, 6], output.real)
+        assert_array_almost_equal([1.5, 2.5, 3], output.imag)
+
+    def test_uniform02(self):
+        array = np.array([1, 2, 3])
+        filter_shape = [0]
+        output = ndimage.uniform_filter(array, filter_shape)
+        assert_array_almost_equal(array, output)
+
+    def test_uniform03(self):
+        array = np.array([1, 2, 3])
+        filter_shape = [1]
+        output = ndimage.uniform_filter(array, filter_shape)
+        assert_array_almost_equal(array, output)
+
+    def test_uniform04(self):
+        array = np.array([2, 4, 6])
+        filter_shape = [2]
+        output = ndimage.uniform_filter(array, filter_shape)
+        assert_array_almost_equal([2, 3, 5], output)
+
+    def test_uniform05(self):
+        array = []
+        filter_shape = [1]
+        output = ndimage.uniform_filter(array, filter_shape)
+        assert_array_almost_equal([], output)
+
+    @pytest.mark.parametrize('dtype_array', types)
+    @pytest.mark.parametrize('dtype_output', types)
+    def test_uniform06(self, dtype_array, dtype_output):
+        filter_shape = [2, 2]
+        array = np.array([[4, 8, 12],
+                          [16, 20, 24]], dtype_array)
+        output = ndimage.uniform_filter(
+            array, filter_shape, output=dtype_output)
+        assert_array_almost_equal([[4, 6, 10], [10, 12, 16]], output)
+        assert_equal(output.dtype.type, dtype_output)
+
+    @pytest.mark.parametrize('dtype_array', complex_types)
+    @pytest.mark.parametrize('dtype_output', complex_types)
+    def test_uniform06_complex(self, dtype_array, dtype_output):
+        filter_shape = [2, 2]
+        array = np.array([[4, 8 + 5j, 12],
+                          [16, 20, 24]], dtype_array)
+        output = ndimage.uniform_filter(
+            array, filter_shape, output=dtype_output)
+        assert_array_almost_equal([[4, 6, 10], [10, 12, 16]], output.real)
+        assert_equal(output.dtype.type, dtype_output)
+
+    def test_minimum_filter01(self):
+        array = np.array([1, 2, 3, 4, 5])
+        filter_shape = np.array([2])
+        output = ndimage.minimum_filter(array, filter_shape)
+        assert_array_almost_equal([1, 1, 2, 3, 4], output)
+
+    def test_minimum_filter02(self):
+        array = np.array([1, 2, 3, 4, 5])
+        filter_shape = np.array([3])
+        output = ndimage.minimum_filter(array, filter_shape)
+        assert_array_almost_equal([1, 1, 2, 3, 4], output)
+
+    def test_minimum_filter03(self):
+        array = np.array([3, 2, 5, 1, 4])
+        filter_shape = np.array([2])
+        output = ndimage.minimum_filter(array, filter_shape)
+        assert_array_almost_equal([3, 2, 2, 1, 1], output)
+
+    def test_minimum_filter04(self):
+        array = np.array([3, 2, 5, 1, 4])
+        filter_shape = np.array([3])
+        output = ndimage.minimum_filter(array, filter_shape)
+        assert_array_almost_equal([2, 2, 1, 1, 1], output)
+
+    def test_minimum_filter05(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        filter_shape = np.array([2, 3])
+        output = ndimage.minimum_filter(array, filter_shape)
+        assert_array_almost_equal([[2, 2, 1, 1, 1],
+                                   [2, 2, 1, 1, 1],
+                                   [5, 3, 3, 1, 1]], output)
+
+    def test_minimum_filter05_overlap(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        filter_shape = np.array([2, 3])
+        ndimage.minimum_filter(array, filter_shape, output=array)
+        assert_array_almost_equal([[2, 2, 1, 1, 1],
+                                   [2, 2, 1, 1, 1],
+                                   [5, 3, 3, 1, 1]], array)
+
+    def test_minimum_filter06(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        footprint = [[1, 1, 1], [1, 1, 1]]
+        output = ndimage.minimum_filter(array, footprint=footprint)
+        assert_array_almost_equal([[2, 2, 1, 1, 1],
+                                   [2, 2, 1, 1, 1],
+                                   [5, 3, 3, 1, 1]], output)
+        # separable footprint should allow mode sequence
+        output2 = ndimage.minimum_filter(array, footprint=footprint,
+                                         mode=['reflect', 'reflect'])
+        assert_array_almost_equal(output2, output)
+
+    def test_minimum_filter07(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        footprint = [[1, 0, 1], [1, 1, 0]]
+        output = ndimage.minimum_filter(array, footprint=footprint)
+        assert_array_almost_equal([[2, 2, 1, 1, 1],
+                                   [2, 3, 1, 3, 1],
+                                   [5, 5, 3, 3, 1]], output)
+        with assert_raises(RuntimeError):
+            ndimage.minimum_filter(array, footprint=footprint,
+                                   mode=['reflect', 'constant'])
+
+    def test_minimum_filter08(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        footprint = [[1, 0, 1], [1, 1, 0]]
+        output = ndimage.minimum_filter(array, footprint=footprint, origin=-1)
+        assert_array_almost_equal([[3, 1, 3, 1, 1],
+                                   [5, 3, 3, 1, 1],
+                                   [3, 3, 1, 1, 1]], output)
+
+    def test_minimum_filter09(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        footprint = [[1, 0, 1], [1, 1, 0]]
+        output = ndimage.minimum_filter(array, footprint=footprint,
+                                        origin=[-1, 0])
+        assert_array_almost_equal([[2, 3, 1, 3, 1],
+                                   [5, 5, 3, 3, 1],
+                                   [5, 3, 3, 1, 1]], output)
+
+    def test_maximum_filter01(self):
+        array = np.array([1, 2, 3, 4, 5])
+        filter_shape = np.array([2])
+        output = ndimage.maximum_filter(array, filter_shape)
+        assert_array_almost_equal([1, 2, 3, 4, 5], output)
+
+    def test_maximum_filter02(self):
+        array = np.array([1, 2, 3, 4, 5])
+        filter_shape = np.array([3])
+        output = ndimage.maximum_filter(array, filter_shape)
+        assert_array_almost_equal([2, 3, 4, 5, 5], output)
+
+    def test_maximum_filter03(self):
+        array = np.array([3, 2, 5, 1, 4])
+        filter_shape = np.array([2])
+        output = ndimage.maximum_filter(array, filter_shape)
+        assert_array_almost_equal([3, 3, 5, 5, 4], output)
+
+    def test_maximum_filter04(self):
+        array = np.array([3, 2, 5, 1, 4])
+        filter_shape = np.array([3])
+        output = ndimage.maximum_filter(array, filter_shape)
+        assert_array_almost_equal([3, 5, 5, 5, 4], output)
+
+    def test_maximum_filter05(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        filter_shape = np.array([2, 3])
+        output = ndimage.maximum_filter(array, filter_shape)
+        assert_array_almost_equal([[3, 5, 5, 5, 4],
+                                   [7, 9, 9, 9, 5],
+                                   [8, 9, 9, 9, 7]], output)
+
+    def test_maximum_filter06(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        footprint = [[1, 1, 1], [1, 1, 1]]
+        output = ndimage.maximum_filter(array, footprint=footprint)
+        assert_array_almost_equal([[3, 5, 5, 5, 4],
+                                   [7, 9, 9, 9, 5],
+                                   [8, 9, 9, 9, 7]], output)
+        # separable footprint should allow mode sequence
+        output2 = ndimage.maximum_filter(array, footprint=footprint,
+                                         mode=['reflect', 'reflect'])
+        assert_array_almost_equal(output2, output)
+
+    def test_maximum_filter07(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        footprint = [[1, 0, 1], [1, 1, 0]]
+        output = ndimage.maximum_filter(array, footprint=footprint)
+        assert_array_almost_equal([[3, 5, 5, 5, 4],
+                                   [7, 7, 9, 9, 5],
+                                   [7, 9, 8, 9, 7]], output)
+        # non-separable footprint should not allow mode sequence
+        with assert_raises(RuntimeError):
+            ndimage.maximum_filter(array, footprint=footprint,
+                                   mode=['reflect', 'reflect'])
+
+    def test_maximum_filter08(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        footprint = [[1, 0, 1], [1, 1, 0]]
+        output = ndimage.maximum_filter(array, footprint=footprint, origin=-1)
+        assert_array_almost_equal([[7, 9, 9, 5, 5],
+                                   [9, 8, 9, 7, 5],
+                                   [8, 8, 7, 7, 7]], output)
+
+    def test_maximum_filter09(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        footprint = [[1, 0, 1], [1, 1, 0]]
+        output = ndimage.maximum_filter(array, footprint=footprint,
+                                        origin=[-1, 0])
+        assert_array_almost_equal([[7, 7, 9, 9, 5],
+                                   [7, 9, 8, 9, 7],
+                                   [8, 8, 8, 7, 7]], output)
+
+    @pytest.mark.parametrize(
+        'axes', tuple(itertools.combinations(range(-3, 3), 2))
+    )
+    @pytest.mark.parametrize(
+        'filter_func, kwargs',
+        [(ndimage.minimum_filter, {}),
+         (ndimage.maximum_filter, {}),
+         (ndimage.median_filter, {}),
+         (ndimage.rank_filter, dict(rank=3)),
+         (ndimage.percentile_filter, dict(percentile=60))]
+    )
+    def test_minmax_nonseparable_axes(self, filter_func, axes, kwargs):
+        array = np.arange(6 * 8 * 12, dtype=np.float32).reshape(6, 8, 12)
+        # use 2D triangular footprint because it is non-separable
+        footprint = np.tri(5)
+        axes = np.array(axes)
+
+        if len(set(axes % array.ndim)) != len(axes):
+            # parametrized cases with duplicate axes raise an error
+            with pytest.raises(ValueError):
+                filter_func(array, footprint=footprint, axes=axes, **kwargs)
+            return
+        output = filter_func(array, footprint=footprint, axes=axes, **kwargs)
+
+        missing_axis = tuple(set(range(3)) - set(axes % array.ndim))[0]
+        footprint_3d = np.expand_dims(footprint, missing_axis)
+        expected = filter_func(array, footprint=footprint_3d, **kwargs)
+        assert_allclose(output, expected)
+
+    def test_rank01(self):
+        array = np.array([1, 2, 3, 4, 5])
+        output = ndimage.rank_filter(array, 1, size=2)
+        assert_array_almost_equal(array, output)
+        output = ndimage.percentile_filter(array, 100, size=2)
+        assert_array_almost_equal(array, output)
+        output = ndimage.median_filter(array, 2)
+        assert_array_almost_equal(array, output)
+
+    def test_rank02(self):
+        array = np.array([1, 2, 3, 4, 5])
+        output = ndimage.rank_filter(array, 1, size=[3])
+        assert_array_almost_equal(array, output)
+        output = ndimage.percentile_filter(array, 50, size=3)
+        assert_array_almost_equal(array, output)
+        output = ndimage.median_filter(array, (3,))
+        assert_array_almost_equal(array, output)
+
+    def test_rank03(self):
+        array = np.array([3, 2, 5, 1, 4])
+        output = ndimage.rank_filter(array, 1, size=[2])
+        assert_array_almost_equal([3, 3, 5, 5, 4], output)
+        output = ndimage.percentile_filter(array, 100, size=2)
+        assert_array_almost_equal([3, 3, 5, 5, 4], output)
+
+    def test_rank04(self):
+        array = np.array([3, 2, 5, 1, 4])
+        expected = [3, 3, 2, 4, 4]
+        output = ndimage.rank_filter(array, 1, size=3)
+        assert_array_almost_equal(expected, output)
+        output = ndimage.percentile_filter(array, 50, size=3)
+        assert_array_almost_equal(expected, output)
+        output = ndimage.median_filter(array, size=3)
+        assert_array_almost_equal(expected, output)
+
+    def test_rank05(self):
+        array = np.array([3, 2, 5, 1, 4])
+        expected = [3, 3, 2, 4, 4]
+        output = ndimage.rank_filter(array, -2, size=3)
+        assert_array_almost_equal(expected, output)
+
+    def test_rank06(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]])
+        expected = [[2, 2, 1, 1, 1],
+                    [3, 3, 2, 1, 1],
+                    [5, 5, 3, 3, 1]]
+        output = ndimage.rank_filter(array, 1, size=[2, 3])
+        assert_array_almost_equal(expected, output)
+        output = ndimage.percentile_filter(array, 17, size=(2, 3))
+        assert_array_almost_equal(expected, output)
+
+    def test_rank06_overlap(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]])
+        array_copy = array.copy()
+        expected = [[2, 2, 1, 1, 1],
+                    [3, 3, 2, 1, 1],
+                    [5, 5, 3, 3, 1]]
+        ndimage.rank_filter(array, 1, size=[2, 3], output=array)
+        assert_array_almost_equal(expected, array)
+
+        ndimage.percentile_filter(array_copy, 17, size=(2, 3),
+                                  output=array_copy)
+        assert_array_almost_equal(expected, array_copy)
+
+    def test_rank07(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]])
+        expected = [[3, 5, 5, 5, 4],
+                    [5, 5, 7, 5, 4],
+                    [6, 8, 8, 7, 5]]
+        output = ndimage.rank_filter(array, -2, size=[2, 3])
+        assert_array_almost_equal(expected, output)
+
+    def test_rank08(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]])
+        expected = [[3, 3, 2, 4, 4],
+                    [5, 5, 5, 4, 4],
+                    [5, 6, 7, 5, 5]]
+        output = ndimage.percentile_filter(array, 50.0, size=(2, 3))
+        assert_array_almost_equal(expected, output)
+        output = ndimage.rank_filter(array, 3, size=(2, 3))
+        assert_array_almost_equal(expected, output)
+        output = ndimage.median_filter(array, size=(2, 3))
+        assert_array_almost_equal(expected, output)
+
+        # non-separable: does not allow mode sequence
+        with assert_raises(RuntimeError):
+            ndimage.percentile_filter(array, 50.0, size=(2, 3),
+                                      mode=['reflect', 'constant'])
+        with assert_raises(RuntimeError):
+            ndimage.rank_filter(array, 3, size=(2, 3), mode=['reflect']*2)
+        with assert_raises(RuntimeError):
+            ndimage.median_filter(array, size=(2, 3), mode=['reflect']*2)
+
+    @pytest.mark.parametrize('dtype', types)
+    def test_rank09(self, dtype):
+        expected = [[3, 3, 2, 4, 4],
+                    [3, 5, 2, 5, 1],
+                    [5, 5, 8, 3, 5]]
+        footprint = [[1, 0, 1], [0, 1, 0]]
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        output = ndimage.rank_filter(array, 1, footprint=footprint)
+        assert_array_almost_equal(expected, output)
+        output = ndimage.percentile_filter(array, 35, footprint=footprint)
+        assert_array_almost_equal(expected, output)
+
+    def test_rank10(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        expected = [[2, 2, 1, 1, 1],
+                    [2, 3, 1, 3, 1],
+                    [5, 5, 3, 3, 1]]
+        footprint = [[1, 0, 1], [1, 1, 0]]
+        output = ndimage.rank_filter(array, 0, footprint=footprint)
+        assert_array_almost_equal(expected, output)
+        output = ndimage.percentile_filter(array, 0.0, footprint=footprint)
+        assert_array_almost_equal(expected, output)
+
+    def test_rank11(self):
+        array = np.array([[3, 2, 5, 1, 4],
+                          [7, 6, 9, 3, 5],
+                          [5, 8, 3, 7, 1]])
+        expected = [[3, 5, 5, 5, 4],
+                    [7, 7, 9, 9, 5],
+                    [7, 9, 8, 9, 7]]
+        footprint = [[1, 0, 1], [1, 1, 0]]
+        output = ndimage.rank_filter(array, -1, footprint=footprint)
+        assert_array_almost_equal(expected, output)
+        output = ndimage.percentile_filter(array, 100.0, footprint=footprint)
+        assert_array_almost_equal(expected, output)
+
+    @pytest.mark.parametrize('dtype', types)
+    def test_rank12(self, dtype):
+        expected = [[3, 3, 2, 4, 4],
+                    [3, 5, 2, 5, 1],
+                    [5, 5, 8, 3, 5]]
+        footprint = [[1, 0, 1], [0, 1, 0]]
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        output = ndimage.rank_filter(array, 1, footprint=footprint)
+        assert_array_almost_equal(expected, output)
+        output = ndimage.percentile_filter(array, 50.0,
+                                           footprint=footprint)
+        assert_array_almost_equal(expected, output)
+        output = ndimage.median_filter(array, footprint=footprint)
+        assert_array_almost_equal(expected, output)
+
+    @pytest.mark.parametrize('dtype', types)
+    def test_rank13(self, dtype):
+        expected = [[5, 2, 5, 1, 1],
+                    [5, 8, 3, 5, 5],
+                    [6, 6, 5, 5, 5]]
+        footprint = [[1, 0, 1], [0, 1, 0]]
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        output = ndimage.rank_filter(array, 1, footprint=footprint,
+                                     origin=-1)
+        assert_array_almost_equal(expected, output)
+
+    @pytest.mark.parametrize('dtype', types)
+    def test_rank14(self, dtype):
+        expected = [[3, 5, 2, 5, 1],
+                    [5, 5, 8, 3, 5],
+                    [5, 6, 6, 5, 5]]
+        footprint = [[1, 0, 1], [0, 1, 0]]
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        output = ndimage.rank_filter(array, 1, footprint=footprint,
+                                     origin=[-1, 0])
+        assert_array_almost_equal(expected, output)
+
+    @pytest.mark.parametrize('dtype', types)
+    def test_rank15(self, dtype):
+        expected = [[2, 3, 1, 4, 1],
+                    [5, 3, 7, 1, 1],
+                    [5, 5, 3, 3, 3]]
+        footprint = [[1, 0, 1], [0, 1, 0]]
+        array = np.array([[3, 2, 5, 1, 4],
+                          [5, 8, 3, 7, 1],
+                          [5, 6, 9, 3, 5]], dtype)
+        output = ndimage.rank_filter(array, 0, footprint=footprint,
+                                     origin=[-1, 0])
+        assert_array_almost_equal(expected, output)
+
+    @pytest.mark.parametrize('dtype', types)
+    def test_generic_filter1d01(self, dtype):
+        weights = np.array([1.1, 2.2, 3.3])
+
+        def _filter_func(input, output, fltr, total):
+            fltr = fltr / total
+            for ii in range(input.shape[0] - 2):
+                output[ii] = input[ii] * fltr[0]
+                output[ii] += input[ii + 1] * fltr[1]
+                output[ii] += input[ii + 2] * fltr[2]
+        a = np.arange(12, dtype=dtype)
+        a.shape = (3, 4)
+        r1 = ndimage.correlate1d(a, weights / weights.sum(), 0, origin=-1)
+        r2 = ndimage.generic_filter1d(
+            a, _filter_func, 3, axis=0, origin=-1,
+            extra_arguments=(weights,),
+            extra_keywords={'total': weights.sum()})
+        assert_array_almost_equal(r1, r2)
+
+    @pytest.mark.parametrize('dtype', types)
+    def test_generic_filter01(self, dtype):
+        filter_ = np.array([[1.0, 2.0], [3.0, 4.0]])
+        footprint = np.array([[1, 0], [0, 1]])
+        cf = np.array([1., 4.])
+
+        def _filter_func(buffer, weights, total=1.0):
+            weights = cf / total
+            return (buffer * weights).sum()
+
+        a = np.arange(12, dtype=dtype)
+        a.shape = (3, 4)
+        r1 = ndimage.correlate(a, filter_ * footprint)
+        if dtype in float_types:
+            r1 /= 5
+        else:
+            r1 //= 5
+        r2 = ndimage.generic_filter(
+            a, _filter_func, footprint=footprint, extra_arguments=(cf,),
+            extra_keywords={'total': cf.sum()})
+        assert_array_almost_equal(r1, r2)
+
+        # generic_filter doesn't allow mode sequence
+        with assert_raises(RuntimeError):
+            r2 = ndimage.generic_filter(
+                a, _filter_func, mode=['reflect', 'reflect'],
+                footprint=footprint, extra_arguments=(cf,),
+                extra_keywords={'total': cf.sum()})
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [1, 1, 2]),
+         ('wrap', [3, 1, 2]),
+         ('reflect', [1, 1, 2]),
+         ('mirror', [2, 1, 2]),
+         ('constant', [0, 1, 2])]
+    )
+    def test_extend01(self, mode, expected_value):
+        array = np.array([1, 2, 3])
+        weights = np.array([1, 0])
+        output = ndimage.correlate1d(array, weights, 0, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [1, 1, 1]),
+         ('wrap', [3, 1, 2]),
+         ('reflect', [3, 3, 2]),
+         ('mirror', [1, 2, 3]),
+         ('constant', [0, 0, 0])]
+    )
+    def test_extend02(self, mode, expected_value):
+        array = np.array([1, 2, 3])
+        weights = np.array([1, 0, 0, 0, 0, 0, 0, 0])
+        output = ndimage.correlate1d(array, weights, 0, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [2, 3, 3]),
+         ('wrap', [2, 3, 1]),
+         ('reflect', [2, 3, 3]),
+         ('mirror', [2, 3, 2]),
+         ('constant', [2, 3, 0])]
+    )
+    def test_extend03(self, mode, expected_value):
+        array = np.array([1, 2, 3])
+        weights = np.array([0, 0, 1])
+        output = ndimage.correlate1d(array, weights, 0, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [3, 3, 3]),
+         ('wrap', [2, 3, 1]),
+         ('reflect', [2, 1, 1]),
+         ('mirror', [1, 2, 3]),
+         ('constant', [0, 0, 0])]
+    )
+    def test_extend04(self, mode, expected_value):
+        array = np.array([1, 2, 3])
+        weights = np.array([0, 0, 0, 0, 0, 0, 0, 0, 1])
+        output = ndimage.correlate1d(array, weights, 0, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [[1, 1, 2], [1, 1, 2], [4, 4, 5]]),
+         ('wrap', [[9, 7, 8], [3, 1, 2], [6, 4, 5]]),
+         ('reflect', [[1, 1, 2], [1, 1, 2], [4, 4, 5]]),
+         ('mirror', [[5, 4, 5], [2, 1, 2], [5, 4, 5]]),
+         ('constant', [[0, 0, 0], [0, 1, 2], [0, 4, 5]])]
+    )
+    def test_extend05(self, mode, expected_value):
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6],
+                          [7, 8, 9]])
+        weights = np.array([[1, 0], [0, 0]])
+        output = ndimage.correlate(array, weights, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [[5, 6, 6], [8, 9, 9], [8, 9, 9]]),
+         ('wrap', [[5, 6, 4], [8, 9, 7], [2, 3, 1]]),
+         ('reflect', [[5, 6, 6], [8, 9, 9], [8, 9, 9]]),
+         ('mirror', [[5, 6, 5], [8, 9, 8], [5, 6, 5]]),
+         ('constant', [[5, 6, 0], [8, 9, 0], [0, 0, 0]])]
+    )
+    def test_extend06(self, mode, expected_value):
+        array = np.array([[1, 2, 3],
+                          [4, 5, 6],
+                          [7, 8, 9]])
+        weights = np.array([[0, 0, 0], [0, 0, 0], [0, 0, 1]])
+        output = ndimage.correlate(array, weights, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [3, 3, 3]),
+         ('wrap', [2, 3, 1]),
+         ('reflect', [2, 1, 1]),
+         ('mirror', [1, 2, 3]),
+         ('constant', [0, 0, 0])]
+    )
+    def test_extend07(self, mode, expected_value):
+        array = np.array([1, 2, 3])
+        weights = np.array([0, 0, 0, 0, 0, 0, 0, 0, 1])
+        output = ndimage.correlate(array, weights, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [[3], [3], [3]]),
+         ('wrap', [[2], [3], [1]]),
+         ('reflect', [[2], [1], [1]]),
+         ('mirror', [[1], [2], [3]]),
+         ('constant', [[0], [0], [0]])]
+    )
+    def test_extend08(self, mode, expected_value):
+        array = np.array([[1], [2], [3]])
+        weights = np.array([[0], [0], [0], [0], [0], [0], [0], [0], [1]])
+        output = ndimage.correlate(array, weights, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [3, 3, 3]),
+         ('wrap', [2, 3, 1]),
+         ('reflect', [2, 1, 1]),
+         ('mirror', [1, 2, 3]),
+         ('constant', [0, 0, 0])]
+    )
+    def test_extend09(self, mode, expected_value):
+        array = np.array([1, 2, 3])
+        weights = np.array([0, 0, 0, 0, 0, 0, 0, 0, 1])
+        output = ndimage.correlate(array, weights, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+    @pytest.mark.parametrize(
+        'mode, expected_value',
+        [('nearest', [[3], [3], [3]]),
+         ('wrap', [[2], [3], [1]]),
+         ('reflect', [[2], [1], [1]]),
+         ('mirror', [[1], [2], [3]]),
+         ('constant', [[0], [0], [0]])]
+    )
+    def test_extend10(self, mode, expected_value):
+        array = np.array([[1], [2], [3]])
+        weights = np.array([[0], [0], [0], [0], [0], [0], [0], [0], [1]])
+        output = ndimage.correlate(array, weights, mode=mode, cval=0)
+        assert_array_equal(output, expected_value)
+
+
+def test_ticket_701():
+    # Test generic filter sizes
+    arr = np.arange(4).reshape((2, 2))
+    def func(x):
+        return np.min(x)
+    res = ndimage.generic_filter(arr, func, size=(1, 1))
+    # The following raises an error unless ticket 701 is fixed
+    res2 = ndimage.generic_filter(arr, func, size=1)
+    assert_equal(res, res2)
+
+
+def test_gh_5430():
+    # At least one of these raises an error unless gh-5430 is
+    # fixed. In py2k an int is implemented using a C long, so
+    # which one fails depends on your system. In py3k there is only
+    # one arbitrary precision integer type, so both should fail.
+    sigma = np.int32(1)
+    out = ndimage._ni_support._normalize_sequence(sigma, 1)
+    assert_equal(out, [sigma])
+    sigma = np.int64(1)
+    out = ndimage._ni_support._normalize_sequence(sigma, 1)
+    assert_equal(out, [sigma])
+    # This worked before; make sure it still works
+    sigma = 1
+    out = ndimage._ni_support._normalize_sequence(sigma, 1)
+    assert_equal(out, [sigma])
+    # This worked before; make sure it still works
+    sigma = [1, 1]
+    out = ndimage._ni_support._normalize_sequence(sigma, 2)
+    assert_equal(out, sigma)
+    # Also include the OPs original example to make sure we fixed the issue
+    x = np.random.normal(size=(256, 256))
+    perlin = np.zeros_like(x)
+    for i in 2**np.arange(6):
+        perlin += ndimage.gaussian_filter(x, i, mode="wrap") * i**2
+    # This also fixes gh-4106, show that the OPs example now runs.
+    x = np.int64(21)
+    ndimage._ni_support._normalize_sequence(x, 0)
+
+
+def test_gaussian_kernel1d():
+    radius = 10
+    sigma = 2
+    sigma2 = sigma * sigma
+    x = np.arange(-radius, radius + 1, dtype=np.double)
+    phi_x = np.exp(-0.5 * x * x / sigma2)
+    phi_x /= phi_x.sum()
+    assert_allclose(phi_x, _gaussian_kernel1d(sigma, 0, radius))
+    assert_allclose(-phi_x * x / sigma2, _gaussian_kernel1d(sigma, 1, radius))
+    assert_allclose(phi_x * (x * x / sigma2 - 1) / sigma2,
+                    _gaussian_kernel1d(sigma, 2, radius))
+    assert_allclose(phi_x * (3 - x * x / sigma2) * x / (sigma2 * sigma2),
+                    _gaussian_kernel1d(sigma, 3, radius))
+
+
+def test_orders_gauss():
+    # Check order inputs to Gaussians
+    arr = np.zeros((1,))
+    assert_equal(0, ndimage.gaussian_filter(arr, 1, order=0))
+    assert_equal(0, ndimage.gaussian_filter(arr, 1, order=3))
+    assert_raises(ValueError, ndimage.gaussian_filter, arr, 1, -1)
+    assert_equal(0, ndimage.gaussian_filter1d(arr, 1, axis=-1, order=0))
+    assert_equal(0, ndimage.gaussian_filter1d(arr, 1, axis=-1, order=3))
+    assert_raises(ValueError, ndimage.gaussian_filter1d, arr, 1, -1, -1)
+
+
+def test_valid_origins():
+    """Regression test for #1311."""
+    def func(x):
+        return np.mean(x)
+    data = np.array([1, 2, 3, 4, 5], dtype=np.float64)
+    assert_raises(ValueError, ndimage.generic_filter, data, func, size=3,
+                  origin=2)
+    assert_raises(ValueError, ndimage.generic_filter1d, data, func,
+                  filter_size=3, origin=2)
+    assert_raises(ValueError, ndimage.percentile_filter, data, 0.2, size=3,
+                  origin=2)
+
+    for filter in [ndimage.uniform_filter, ndimage.minimum_filter,
+                   ndimage.maximum_filter, ndimage.maximum_filter1d,
+                   ndimage.median_filter, ndimage.minimum_filter1d]:
+        # This should work, since for size == 3, the valid range for origin is
+        # -1 to 1.
+        list(filter(data, 3, origin=-1))
+        list(filter(data, 3, origin=1))
+        # Just check this raises an error instead of silently accepting or
+        # segfaulting.
+        assert_raises(ValueError, filter, data, 3, origin=2)
+
+
+def test_bad_convolve_and_correlate_origins():
+    """Regression test for gh-822."""
+    # Before gh-822 was fixed, these would generate seg. faults or
+    # other crashes on many system.
+    assert_raises(ValueError, ndimage.correlate1d,
+                  [0, 1, 2, 3, 4, 5], [1, 1, 2, 0], origin=2)
+    assert_raises(ValueError, ndimage.correlate,
+                  [0, 1, 2, 3, 4, 5], [0, 1, 2], origin=[2])
+    assert_raises(ValueError, ndimage.correlate,
+                  np.ones((3, 5)), np.ones((2, 2)), origin=[0, 1])
+
+    assert_raises(ValueError, ndimage.convolve1d,
+                  np.arange(10), np.ones(3), origin=-2)
+    assert_raises(ValueError, ndimage.convolve,
+                  np.arange(10), np.ones(3), origin=[-2])
+    assert_raises(ValueError, ndimage.convolve,
+                  np.ones((3, 5)), np.ones((2, 2)), origin=[0, -2])
+
+
+def test_multiple_modes():
+    # Test that the filters with multiple mode cababilities for different
+    # dimensions give the same result as applying a single mode.
+    arr = np.array([[1., 0., 0.],
+                       [1., 1., 0.],
+                       [0., 0., 0.]])
+
+    mode1 = 'reflect'
+    mode2 = ['reflect', 'reflect']
+
+    assert_equal(ndimage.gaussian_filter(arr, 1, mode=mode1),
+                 ndimage.gaussian_filter(arr, 1, mode=mode2))
+    assert_equal(ndimage.prewitt(arr, mode=mode1),
+                 ndimage.prewitt(arr, mode=mode2))
+    assert_equal(ndimage.sobel(arr, mode=mode1),
+                 ndimage.sobel(arr, mode=mode2))
+    assert_equal(ndimage.laplace(arr, mode=mode1),
+                 ndimage.laplace(arr, mode=mode2))
+    assert_equal(ndimage.gaussian_laplace(arr, 1, mode=mode1),
+                 ndimage.gaussian_laplace(arr, 1, mode=mode2))
+    assert_equal(ndimage.maximum_filter(arr, size=5, mode=mode1),
+                 ndimage.maximum_filter(arr, size=5, mode=mode2))
+    assert_equal(ndimage.minimum_filter(arr, size=5, mode=mode1),
+                 ndimage.minimum_filter(arr, size=5, mode=mode2))
+    assert_equal(ndimage.gaussian_gradient_magnitude(arr, 1, mode=mode1),
+                 ndimage.gaussian_gradient_magnitude(arr, 1, mode=mode2))
+    assert_equal(ndimage.uniform_filter(arr, 5, mode=mode1),
+                 ndimage.uniform_filter(arr, 5, mode=mode2))
+
+
+def test_multiple_modes_sequentially():
+    # Test that the filters with multiple mode cababilities for different
+    # dimensions give the same result as applying the filters with
+    # different modes sequentially
+    arr = np.array([[1., 0., 0.],
+                    [1., 1., 0.],
+                    [0., 0., 0.]])
+
+    modes = ['reflect', 'wrap']
+
+    expected = ndimage.gaussian_filter1d(arr, 1, axis=0, mode=modes[0])
+    expected = ndimage.gaussian_filter1d(expected, 1, axis=1, mode=modes[1])
+    assert_equal(expected,
+                 ndimage.gaussian_filter(arr, 1, mode=modes))
+
+    expected = ndimage.uniform_filter1d(arr, 5, axis=0, mode=modes[0])
+    expected = ndimage.uniform_filter1d(expected, 5, axis=1, mode=modes[1])
+    assert_equal(expected,
+                 ndimage.uniform_filter(arr, 5, mode=modes))
+
+    expected = ndimage.maximum_filter1d(arr, size=5, axis=0, mode=modes[0])
+    expected = ndimage.maximum_filter1d(expected, size=5, axis=1,
+                                        mode=modes[1])
+    assert_equal(expected,
+                 ndimage.maximum_filter(arr, size=5, mode=modes))
+
+    expected = ndimage.minimum_filter1d(arr, size=5, axis=0, mode=modes[0])
+    expected = ndimage.minimum_filter1d(expected, size=5, axis=1,
+                                        mode=modes[1])
+    assert_equal(expected,
+                 ndimage.minimum_filter(arr, size=5, mode=modes))
+
+
+def test_multiple_modes_prewitt():
+    # Test prewitt filter for multiple extrapolation modes
+    arr = np.array([[1., 0., 0.],
+                    [1., 1., 0.],
+                    [0., 0., 0.]])
+
+    expected = np.array([[1., -3., 2.],
+                         [1., -2., 1.],
+                         [1., -1., 0.]])
+
+    modes = ['reflect', 'wrap']
+
+    assert_equal(expected,
+                 ndimage.prewitt(arr, mode=modes))
+
+
+def test_multiple_modes_sobel():
+    # Test sobel filter for multiple extrapolation modes
+    arr = np.array([[1., 0., 0.],
+                    [1., 1., 0.],
+                    [0., 0., 0.]])
+
+    expected = np.array([[1., -4., 3.],
+                         [2., -3., 1.],
+                         [1., -1., 0.]])
+
+    modes = ['reflect', 'wrap']
+
+    assert_equal(expected,
+                 ndimage.sobel(arr, mode=modes))
+
+
+def test_multiple_modes_laplace():
+    # Test laplace filter for multiple extrapolation modes
+    arr = np.array([[1., 0., 0.],
+                    [1., 1., 0.],
+                    [0., 0., 0.]])
+
+    expected = np.array([[-2., 2., 1.],
+                         [-2., -3., 2.],
+                         [1., 1., 0.]])
+
+    modes = ['reflect', 'wrap']
+
+    assert_equal(expected,
+                 ndimage.laplace(arr, mode=modes))
+
+
+def test_multiple_modes_gaussian_laplace():
+    # Test gaussian_laplace filter for multiple extrapolation modes
+    arr = np.array([[1., 0., 0.],
+                    [1., 1., 0.],
+                    [0., 0., 0.]])
+
+    expected = np.array([[-0.28438687, 0.01559809, 0.19773499],
+                         [-0.36630503, -0.20069774, 0.07483620],
+                         [0.15849176, 0.18495566, 0.21934094]])
+
+    modes = ['reflect', 'wrap']
+
+    assert_almost_equal(expected,
+                        ndimage.gaussian_laplace(arr, 1, mode=modes))
+
+
+def test_multiple_modes_gaussian_gradient_magnitude():
+    # Test gaussian_gradient_magnitude filter for multiple
+    # extrapolation modes
+    arr = np.array([[1., 0., 0.],
+                    [1., 1., 0.],
+                    [0., 0., 0.]])
+
+    expected = np.array([[0.04928965, 0.09745625, 0.06405368],
+                         [0.23056905, 0.14025305, 0.04550846],
+                         [0.19894369, 0.14950060, 0.06796850]])
+
+    modes = ['reflect', 'wrap']
+
+    calculated = ndimage.gaussian_gradient_magnitude(arr, 1, mode=modes)
+
+    assert_almost_equal(expected, calculated)
+
+
+def test_multiple_modes_uniform():
+    # Test uniform filter for multiple extrapolation modes
+    arr = np.array([[1., 0., 0.],
+                    [1., 1., 0.],
+                    [0., 0., 0.]])
+
+    expected = np.array([[0.32, 0.40, 0.48],
+                         [0.20, 0.28, 0.32],
+                         [0.28, 0.32, 0.40]])
+
+    modes = ['reflect', 'wrap']
+
+    assert_almost_equal(expected,
+                        ndimage.uniform_filter(arr, 5, mode=modes))
+
+
+def test_gaussian_truncate():
+    # Test that Gaussian filters can be truncated at different widths.
+    # These tests only check that the result has the expected number
+    # of nonzero elements.
+    arr = np.zeros((100, 100), float)
+    arr[50, 50] = 1
+    num_nonzeros_2 = (ndimage.gaussian_filter(arr, 5, truncate=2) > 0).sum()
+    assert_equal(num_nonzeros_2, 21**2)
+    num_nonzeros_5 = (ndimage.gaussian_filter(arr, 5, truncate=5) > 0).sum()
+    assert_equal(num_nonzeros_5, 51**2)
+
+    # Test truncate when sigma is a sequence.
+    f = ndimage.gaussian_filter(arr, [0.5, 2.5], truncate=3.5)
+    fpos = f > 0
+    n0 = fpos.any(axis=0).sum()
+    # n0 should be 2*int(2.5*3.5 + 0.5) + 1
+    assert_equal(n0, 19)
+    n1 = fpos.any(axis=1).sum()
+    # n1 should be 2*int(0.5*3.5 + 0.5) + 1
+    assert_equal(n1, 5)
+
+    # Test gaussian_filter1d.
+    x = np.zeros(51)
+    x[25] = 1
+    f = ndimage.gaussian_filter1d(x, sigma=2, truncate=3.5)
+    n = (f > 0).sum()
+    assert_equal(n, 15)
+
+    # Test gaussian_laplace
+    y = ndimage.gaussian_laplace(x, sigma=2, truncate=3.5)
+    nonzero_indices = np.nonzero(y != 0)[0]
+    n = np.ptp(nonzero_indices) + 1
+    assert_equal(n, 15)
+
+    # Test gaussian_gradient_magnitude
+    y = ndimage.gaussian_gradient_magnitude(x, sigma=2, truncate=3.5)
+    nonzero_indices = np.nonzero(y != 0)[0]
+    n = np.ptp(nonzero_indices) + 1
+    assert_equal(n, 15)
+
+
+def test_gaussian_radius():
+    # Test that Gaussian filters with radius argument produce the same
+    # results as the filters with corresponding truncate argument.
+    # radius = int(truncate * sigma + 0.5)
+    # Test gaussian_filter1d
+    x = np.zeros(7)
+    x[3] = 1
+    f1 = ndimage.gaussian_filter1d(x, sigma=2, truncate=1.5)
+    f2 = ndimage.gaussian_filter1d(x, sigma=2, radius=3)
+    assert_equal(f1, f2)
+
+    # Test gaussian_filter when sigma is a number.
+    a = np.zeros((9, 9))
+    a[4, 4] = 1
+    f1 = ndimage.gaussian_filter(a, sigma=0.5, truncate=3.5)
+    f2 = ndimage.gaussian_filter(a, sigma=0.5, radius=2)
+    assert_equal(f1, f2)
+
+    # Test gaussian_filter when sigma is a sequence.
+    a = np.zeros((50, 50))
+    a[25, 25] = 1
+    f1 = ndimage.gaussian_filter(a, sigma=[0.5, 2.5], truncate=3.5)
+    f2 = ndimage.gaussian_filter(a, sigma=[0.5, 2.5], radius=[2, 9])
+    assert_equal(f1, f2)
+
+
+def test_gaussian_radius_invalid():
+    # radius must be a nonnegative integer
+    with assert_raises(ValueError):
+        ndimage.gaussian_filter1d(np.zeros(8), sigma=1, radius=-1)
+    with assert_raises(ValueError):
+        ndimage.gaussian_filter1d(np.zeros(8), sigma=1, radius=1.1)
+
+
+class TestThreading:
+    def check_func_thread(self, n, fun, args, out):
+        from threading import Thread
+        thrds = [Thread(target=fun, args=args, kwargs={'output': out[x]})
+                 for x in range(n)]
+        [t.start() for t in thrds]
+        [t.join() for t in thrds]
+
+    def check_func_serial(self, n, fun, args, out):
+        for i in range(n):
+            fun(*args, output=out[i])
+
+    def test_correlate1d(self):
+        d = np.random.randn(5000)
+        os = np.empty((4, d.size))
+        ot = np.empty_like(os)
+        k = np.arange(5)
+        self.check_func_serial(4, ndimage.correlate1d, (d, k), os)
+        self.check_func_thread(4, ndimage.correlate1d, (d, k), ot)
+        assert_array_equal(os, ot)
+
+    def test_correlate(self):
+        d = np.random.randn(500, 500)
+        k = np.random.randn(10, 10)
+        os = np.empty([4] + list(d.shape))
+        ot = np.empty_like(os)
+        self.check_func_serial(4, ndimage.correlate, (d, k), os)
+        self.check_func_thread(4, ndimage.correlate, (d, k), ot)
+        assert_array_equal(os, ot)
+
+    def test_median_filter(self):
+        d = np.random.randn(500, 500)
+        os = np.empty([4] + list(d.shape))
+        ot = np.empty_like(os)
+        self.check_func_serial(4, ndimage.median_filter, (d, 3), os)
+        self.check_func_thread(4, ndimage.median_filter, (d, 3), ot)
+        assert_array_equal(os, ot)
+
+    def test_uniform_filter1d(self):
+        d = np.random.randn(5000)
+        os = np.empty((4, d.size))
+        ot = np.empty_like(os)
+        self.check_func_serial(4, ndimage.uniform_filter1d, (d, 5), os)
+        self.check_func_thread(4, ndimage.uniform_filter1d, (d, 5), ot)
+        assert_array_equal(os, ot)
+
+    def test_minmax_filter(self):
+        d = np.random.randn(500, 500)
+        os = np.empty([4] + list(d.shape))
+        ot = np.empty_like(os)
+        self.check_func_serial(4, ndimage.maximum_filter, (d, 3), os)
+        self.check_func_thread(4, ndimage.maximum_filter, (d, 3), ot)
+        assert_array_equal(os, ot)
+        self.check_func_serial(4, ndimage.minimum_filter, (d, 3), os)
+        self.check_func_thread(4, ndimage.minimum_filter, (d, 3), ot)
+        assert_array_equal(os, ot)
+
+
+def test_minmaximum_filter1d():
+    # Regression gh-3898
+    in_ = np.arange(10)
+    out = ndimage.minimum_filter1d(in_, 1)
+    assert_equal(in_, out)
+    out = ndimage.maximum_filter1d(in_, 1)
+    assert_equal(in_, out)
+    # Test reflect
+    out = ndimage.minimum_filter1d(in_, 5, mode='reflect')
+    assert_equal([0, 0, 0, 1, 2, 3, 4, 5, 6, 7], out)
+    out = ndimage.maximum_filter1d(in_, 5, mode='reflect')
+    assert_equal([2, 3, 4, 5, 6, 7, 8, 9, 9, 9], out)
+    # Test constant
+    out = ndimage.minimum_filter1d(in_, 5, mode='constant', cval=-1)
+    assert_equal([-1, -1, 0, 1, 2, 3, 4, 5, -1, -1], out)
+    out = ndimage.maximum_filter1d(in_, 5, mode='constant', cval=10)
+    assert_equal([10, 10, 4, 5, 6, 7, 8, 9, 10, 10], out)
+    # Test nearest
+    out = ndimage.minimum_filter1d(in_, 5, mode='nearest')
+    assert_equal([0, 0, 0, 1, 2, 3, 4, 5, 6, 7], out)
+    out = ndimage.maximum_filter1d(in_, 5, mode='nearest')
+    assert_equal([2, 3, 4, 5, 6, 7, 8, 9, 9, 9], out)
+    # Test wrap
+    out = ndimage.minimum_filter1d(in_, 5, mode='wrap')
+    assert_equal([0, 0, 0, 1, 2, 3, 4, 5, 0, 0], out)
+    out = ndimage.maximum_filter1d(in_, 5, mode='wrap')
+    assert_equal([9, 9, 4, 5, 6, 7, 8, 9, 9, 9], out)
+
+
+def test_uniform_filter1d_roundoff_errors():
+    # gh-6930
+    in_ = np.repeat([0, 1, 0], [9, 9, 9])
+    for filter_size in range(3, 10):
+        out = ndimage.uniform_filter1d(in_, filter_size)
+        assert_equal(out.sum(), 10 - filter_size)
+
+
+def test_footprint_all_zeros():
+    # regression test for gh-6876: footprint of all zeros segfaults
+    arr = np.random.randint(0, 100, (100, 100))
+    kernel = np.zeros((3, 3), bool)
+    with assert_raises(ValueError):
+        ndimage.maximum_filter(arr, footprint=kernel)
+
+
+def test_gaussian_filter():
+    # Test gaussian filter with np.float16
+    # gh-8207
+    data = np.array([1], dtype=np.float16)
+    sigma = 1.0
+    with assert_raises(RuntimeError):
+        ndimage.gaussian_filter(data, sigma)
+
+
+def test_rank_filter_noninteger_rank():
+    # regression test for issue 9388: ValueError for
+    # non integer rank when performing rank_filter
+    arr = np.random.random((10, 20, 30))
+    assert_raises(TypeError, ndimage.rank_filter, arr, 0.5,
+                  footprint=np.ones((1, 1, 10), dtype=bool))
+
+
+def test_size_footprint_both_set():
+    # test for input validation, expect user warning when
+    # size and footprint is set
+    with suppress_warnings() as sup:
+        sup.filter(UserWarning,
+                   "ignoring size because footprint is set")
+        arr = np.random.random((10, 20, 30))
+        ndimage.rank_filter(arr, 5, size=2, footprint=np.ones((1, 1, 10), dtype=bool))
+
+
+def test_byte_order_median():
+    """Regression test for #413: median_filter does not handle bytes orders."""
+    a = np.arange(9, dtype='<f4').reshape(3, 3)
+    ref = ndimage.median_filter(a, (3, 3))
+    b = np.arange(9, dtype='>f4').reshape(3, 3)
+    t = ndimage.median_filter(b, (3, 3))
+    assert_array_almost_equal(ref, t)

parrot/lib/python3.10/site-packages/scipy/stats/_ansari_swilk_statistics.cpython-310-x86_64-linux-gnu.so

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50ea55d6b09b350feff4f762d9fc7b052836298983aa3396de825159ebca1539
+size 277968

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/batch_mm.h

@@ -0,0 +1,11 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+TORCH_API void BatchMM(std::shared_ptr<Graph>& graph);
+
+}
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/canonicalize_graph_fuser_ops.h

@@ -0,0 +1,11 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+TORCH_API void CanonicalizeOps(const std::shared_ptr<Graph>& graph);
+
+}
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/clear_profiling.h

@@ -0,0 +1,19 @@
+#pragma once
+
+#include <ATen/ATen.h>
+#include <ATen/core/ivalue.h>
+#include <ATen/core/jit_type.h>
+#include <torch/csrc/Export.h>
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+TORCH_API void unprofileGraphInputs(const std::shared_ptr<Graph>& graph);
+TORCH_API void unprofileBlock(Block* start_block);
+// Unprofiles all the node outputs in a block.
+
+TORCH_API void ClearProfilingInformation(const std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/concat_opt.h

@@ -0,0 +1,19 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Eliminates common inputs among `aten::cat` ops.
+TORCH_API bool EliminateConcatCommonInputs(const std::shared_ptr<Graph>& graph);
+
+// Expands `aten::cat` ops into `aten::copy` ops and eliminates redudancies
+// in the buffers used for concatenation if possible.
+TORCH_API void ExpandConcatAndEliminateRedundancy(
+    const std::shared_ptr<Graph>& graph);
+
+TORCH_API bool CombineConcats(const std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/constant_propagation.h

@@ -0,0 +1,32 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Runs constant propagation on all objects unless ignore_custom_classes is
+// specified as true, in which case user defined classes are skipped.  This is
+// useful to prevent early fusion of packing operations, which end up lowering
+// away information about their constructors (e.g. packed::linear_clamp_prepack
+// and prepacked::conv2d_clamp_prepack)
+// Returns True if the pass made a change to the graph
+TORCH_API bool ConstantPropagation(
+    std::shared_ptr<Graph>& graph,
+    bool ignore_custom_classes = false);
+
+// runs constant propagation only on ops that have non-aliasing inputs & outputs
+// Returns True if the pass made a change to the graph
+TORCH_API bool ConstantPropagationImmutableTypes(std::shared_ptr<Graph>& graph);
+
+// Runs the node if its inputs are constants. Callers of this function must
+// make their own determination if constant prop is appropriate - for example
+// non-deterministic ops or ops with side effects.  If ignore_custom_classes is
+// specified, nodes that output user defined classes are not run.
+TORCH_API c10::optional<Stack> runNodeIfInputsAreConstant(
+    const Node* node,
+    bool ignore_custom_classes = false,
+    AliasDb* db = nullptr);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/create_autodiff_subgraphs.h

@@ -0,0 +1,19 @@
+#pragma once
+
+#include <torch/csrc/Export.h>
+#include <torch/csrc/jit/ir/ir.h>
+
+#include <cstddef>
+
+namespace torch {
+namespace jit {
+
+// insert GraphExecutor nodes that group together
+// subgraphs that are differentiable by the jit's autodiff passes
+// threshold - minimum number of nodes that will appear in a block
+// returns all differentiable blocks that have been found
+TORCH_API std::vector<Node*> CreateAutodiffSubgraphs(
+    const std::shared_ptr<Graph>& graph,
+    size_t threshold = 2);
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/create_functional_graphs.h

@@ -0,0 +1,14 @@
+#pragma once
+
+#include <torch/csrc/Export.h>
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+TORCH_API void CreateFunctionalGraphs(const std::shared_ptr<Graph>& graph);
+
+TORCH_API void InlineFunctionalGraphs(const std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/dead_code_elimination.h

@@ -0,0 +1,42 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// If given a top-level graph, DCE will construct do alias analysis that allows
+// for "smarter" dead code elimination (we will eliminate mutable ops if we can
+// prove the mutated values are not used). Otherwise, we will not allow DCE to
+// eliminate mutable ops.
+//
+// So, prefer to use the graph version if you can.
+enum class DCESideEffectPolicy : uint8_t {
+  // default behavior: dead code elimination will check if a node has side
+  // effects
+  // and not delete it if it does.
+  DONT_DELETE_NODES_WITH_SIDE_EFFECTS,
+  // with this flag, dead code elimination will not check if a node has side
+  // effects and treat nodes with side effects like any other node,
+  // i.e. delete them if their outputs aren't used anywhere.
+  ALLOW_DELETING_NODES_WITH_SIDE_EFFECTS
+};
+
+TORCH_API void EliminateDeadCode(
+    const std::shared_ptr<Graph>& graph,
+    DCESideEffectPolicy sideEffectPolicy =
+        DCESideEffectPolicy::DONT_DELETE_NODES_WITH_SIDE_EFFECTS);
+TORCH_API void EliminateDeadCode(
+    Block* block,
+    bool recurse = true,
+    DCESideEffectPolicy sideEffectPolicy =
+        DCESideEffectPolicy::DONT_DELETE_NODES_WITH_SIDE_EFFECTS);
+
+// Invoke the user-provided callback on all live values before deleting anything
+TORCH_API void EliminateDeadCode(
+    Block* block,
+    std::function<void(const std::unordered_set<const Value*>&)> cb,
+    DCESideEffectPolicy sideEffectPolicy =
+        DCESideEffectPolicy::DONT_DELETE_NODES_WITH_SIDE_EFFECTS);
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/decompose_ops.h

@@ -0,0 +1,11 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+TORCH_API void DecomposeOps(std::shared_ptr<Graph>& graph);
+
+}
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/eliminate_no_ops.h

@@ -0,0 +1,17 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Remove ops that do nothing on the forward pass (like aten::detach).
+// This pass is invoked as a part of freeze_module.
+// This function also takes a set of custom ops to eliminate. All ops in this
+// set must take their output as their first input, i.e. x = f(x, ...)
+TORCH_API bool EliminateNoOps(
+    std::shared_ptr<Graph>& graph,
+    std::unordered_set<c10::Symbol> custom_ops = {});
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/erase_number_types.h

@@ -0,0 +1,23 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Erase NumberType information. This is necessary for and only used in
+// exporting to ONNX. This pass ensures that no remaining Values have
+// NumberType types, replacing them with tensors.
+// The following things are done to erase NumberType info:
+// - NumberType outputs are changed to DynamicType.
+// - prim::Constant nodes which are numbers get changed into 0-dim tensors of
+//   the corresponding type
+// - prim::TensorToNum, aten::Float, aten::Int and prim::NumToTensor nodes
+//   are erased.
+//
+// The pass assumes that DCE will be called sometime after.
+TORCH_API void EraseNumberTypes(const std::shared_ptr<Graph>& graph);
+TORCH_API void EraseNumberTypesOnBlock(Block* block);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/fixup_trace_scope_blocks.h

@@ -0,0 +1,47 @@
+#pragma once
+
+#include <torch/csrc/jit/api/module.h>
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Directly after tracing, we have an ill-formed graph with blocks inserted.
+// Example:
+//
+// graph(%self : ClassType<Module>,
+//       %input.1 : Float(3, 4)):
+//   %1 : ClassType<Module> = prim::GetAttr[name="relu1"](%self)
+//   %2 : ClassType<Module> = prim::GetAttr[name="relu2"](%self)
+//   %3 : ClassType<Module> = prim::GetAttr[name="rrr"](%2)
+//    = prim::TracedModuleForward[scope="__module.relu1"]()
+//     block0():
+//       %input : Float(3, 4) = aten::relu(%input.1),
+//       -> ()
+//    = prim::TracedModuleForward[scope="__module.relu2"](),
+//     block0():
+//        = prim::TracedModuleForward[scope="__module.relu2.rrr"](),
+//         block0():
+//           %6 : Float(3, 4) = aten::relu(%input),
+//           -> ()
+//       -> ()
+//   return (%6)
+//
+// In this pass, we:
+//   1) Lift Value defs to as high of a scope as needed to ensure that
+//      they dominate all their uses. For example, `input` in the above
+//      graph needs to be lifted to the top-level block so that its use
+//      in the second `relu` operator is dominated.
+//   2) Lambda lift the blocks. This ensures that all values used within
+//      each scope have their defs captured.
+//   3) Convert the scope blocks into methods on their respective Modules,
+//      and convert TracedModuleForward nodes to CallMethod nodes into those
+//      methods.
+//
+//  Then, we'll have a well-formed graph with proper method calls.
+TORCH_API void FixupTraceScopeBlocks(
+    std::shared_ptr<Graph>& graph,
+    Module* self);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/fold_conv_bn.h

@@ -0,0 +1,37 @@
+#pragma once
+
+#include <torch/csrc/jit/api/module.h>
+
+namespace torch {
+namespace jit {
+
+/** \brief Fold Conv2d-BatchNorm2d into Conv2d in all methods of this
+ * module and all its submodules, forward is included by default.
+ *
+ * The weight and bias of the Conv2d are correspondingly updated. Should only be
+ * used on modules in eval mode.
+ */
+TORCH_API Module FoldConvBatchNorm(const Module& module);
+
+struct TORCH_API ConvBNParameters {
+  at::Tensor conv_w;
+  at::Tensor conv_b;
+  at::Tensor bn_rm;
+  at::Tensor bn_rv;
+  double bn_eps = 0.0;
+  at::Tensor bn_w;
+  at::Tensor bn_b;
+};
+
+/**
+ * Given the current weight and bias tensors of a Conv module and parameters
+ * of the BatchNorm module we're folding with, compute the updated values
+ * for the weight and bias.
+ *
+ * The function is basically copied from torch/nn/utils/fusion.py
+ */
+TORCH_API std::tuple<at::Tensor, at::Tensor> computeUpdatedConvWeightAndBias(
+    const ConvBNParameters& p);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/frozen_concat_linear.h

@@ -0,0 +1,13 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Concats multiple linear ops with the same Tensor input
+// into a single linear op.
+TORCH_API bool FrozenConcatLinear(std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/frozen_conv_add_relu_fusion.h

@@ -0,0 +1,15 @@
+#pragma once
+
+#include <torch/csrc/jit/api/module.h>
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+TORCH_API extern std::function<void(std::shared_ptr<Graph>&)>&
+getFuseFrozenConvAddReluImpl();
+
+TORCH_API void FuseFrozenConvAddRelu(std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/frozen_linear_folding.h

@@ -0,0 +1,14 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Fuses Linear -> BatchNormNd into a single Linear by
+// folding batchnorm weights into linear weights.
+// This pass only works on Frozen Graphs; otherwise it is a No-Op.
+TORCH_API bool FoldFrozenLinearBatchnorm(std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/frozen_linear_transpose.h

@@ -0,0 +1,13 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Transposes the weight matrix for frozen linear modules.
+// and converts it into a matmul
+TORCH_API bool FrozenLinearTranspose(std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/frozen_ops_to_mkldnn.h

@@ -0,0 +1,15 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Converts operators & their parameters to mkldnn if it is profitable
+// Currently encompassing Conv2d and Conv3d, and Linear
+// Op must be in float32 and mkldnn must be built
+// This pass only works on frozen graph
+TORCH_API void ConvertFrozenOpsToMKLDNN(std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/fuse_linear.h

@@ -0,0 +1,24 @@
+/** \brief Fusing linear patterns as single at::linear for easier pattern
+ * matching in later passes
+ */
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+/** \brief Match the at::linear pattern and fuse it into a single at::linear
+ * This pass fuse the addmm or matmul + add generated by JIT back to linear
+ * This pass can be deleted once the JIT can emit the aten::linear in the future
+ */
+TORCH_API void FuseLinear(std::shared_ptr<Graph>& graph);
+
+/** Swap functional linear CallFunctions to aten::linear
+ */
+TORCH_API void SwapFunctionalLinear(std::shared_ptr<Graph>& graph);
+/** Swap all functional linear CallFunctions in module
+ */
+TORCH_API void SwapFunctionalLinear(Module& module);
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/graph_fuser.h

@@ -0,0 +1,37 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+TORCH_API bool canFuseOnCPULegacy();
+TORCH_API void overrideCanFuseOnCPULegacy(bool value);
+
+// NB: Be sure to run DCE before fusion, because dead instructions
+// can prevent fusion opportunities from being exploited.
+// On Windows will noop, NYI
+TORCH_API void FuseGraph(
+    std::shared_ptr<Graph>& graph,
+    bool strict_fuser_check = false);
+
+// \brief Custom fusion pass using a node-level callback to
+// determine the inclusion of nodes in a subgraph.
+//
+// This helper omits aliased inputs and fusion across control flow
+// boundaries.
+//
+// \arg graph The graph to be modified in-place
+// \arg is_fusable A callback run on each fusable node in the graph.
+// \arg kind The label given to the resultant fused subgraph
+// \arg arg_limit The maximum number of args the resultant fused subgraph
+//                should have.  Note: This will likely develop into a general
+//                post condition on the fused subgraph.
+TORCH_API void CustomFuseGraph(
+    std::shared_ptr<Graph>& graph,
+    const std::function<bool(Node*)>& is_fusable,
+    Symbol kind,
+    size_t arg_limit = std::numeric_limits<size_t>::max());
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/graph_rewrite_helper.h

@@ -0,0 +1,54 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+#include <torch/csrc/jit/ir/irparser.h>
+#include <torch/csrc/jit/ir/subgraph_matcher.h>
+#include <torch/csrc/jit/passes/subgraph_rewrite.h>
+
+namespace torch {
+namespace jit {
+namespace graph_rewrite_helper {
+
+std::string getFuncName(Value* func_value);
+Value* getValue(
+    const std::string& name,
+    const std::unordered_map<const Value*, Value*>& match_vmap,
+    const std::unordered_map<std::string, Value*>& vmap);
+c10::optional<IValue> getIValue(
+    const std::string& name,
+    const std::unordered_map<const Value*, Value*>& match_vmap,
+    const std::unordered_map<std::string, Value*>& vmap);
+TORCH_API void replaceConvolutionWithAtenConv(std::shared_ptr<Graph>& graph);
+
+bool isClampFusable(
+    const Match& match,
+    const std::unordered_map<std::string, Value*>& vmap);
+
+// This struct contains a compiled IR patterns slated for use in the
+// findPatternMatches function. The struct encapsulates the common
+// information from parseIR that is used in conjunction with the
+// pattern matching facility. A const instance of this struct can
+// also be stored away to cache the compiled IR pattern and reduce
+// runtime cost
+struct PatternInfo {
+  std::string pattern_string;
+  std::unique_ptr<Graph> pattern_graph;
+  std::unordered_map<std::string, Value*> vmap;
+  std::vector<MatchFilter> filters;
+
+  static PatternInfo parse_from_str(
+      std::string pattern_string,
+      const std::vector<MatchFilter>& filters = {}) {
+    PatternInfo rv{
+        std::move(pattern_string),
+        std::make_unique<Graph>(),
+        decltype(vmap){},
+        filters};
+    parseIR(rv.pattern_string, rv.pattern_graph.get(), rv.vmap);
+    return rv;
+  }
+};
+
+} // namespace graph_rewrite_helper
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/hoist_conv_packed_params.h

@@ -0,0 +1,12 @@
+#pragma once
+
+#include <torch/csrc/jit/api/module.h>
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+void HoistConvPackedParams(script::Module& m);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/inline_fork_wait.h

@@ -0,0 +1,16 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Inline Fork and Wait calls. This is used, for example, in ONNX export, where
+// we do not support the explicit parallelism structures and would rather
+// just have a flat graph. This inlines the forked section in the fork()
+// callsite and replaces uses of the result of wait() calls with the values
+// produced from the (now-inlined) forked section.
+TORCH_API void InlineForkWait(const std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/inliner.h

@@ -0,0 +1,14 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// Inline function and method calls.
+TORCH_API void Inline(Graph& graph);
+
+TORCH_API GraphFunction* tryToGraphFunction(Node* n);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/insert_guards.h

@@ -0,0 +1,21 @@
+#pragma once
+
+#include <ATen/ATen.h>
+#include <ATen/core/ivalue.h>
+#include <ATen/core/jit_type.h>
+#include <ATen/core/stack.h>
+#include <torch/csrc/Export.h>
+#include <torch/csrc/jit/ir/ir.h>
+
+#include <list>
+#include <vector>
+
+namespace torch {
+namespace jit {
+
+TORCH_API void InsertGuards(std::shared_ptr<Graph> graph);
+
+TORCH_API void RemoveProfilingNodes(const std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/lift_closures.h

@@ -0,0 +1,12 @@
+#pragma once
+
+#include <torch/csrc/Export.h>
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+TORCH_API void liftClosures(const std::shared_ptr<Graph>& graph);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/liveness.h

@@ -0,0 +1,23 @@
+#pragma once
+
+#include <ATen/ATen.h>
+#include <ATen/core/ivalue.h>
+#include <ATen/core/jit_type.h>
+#include <ATen/core/stack.h>
+#include <c10/util/sparse_bitset.h>
+#include <torch/csrc/Export.h>
+#include <torch/csrc/jit/ir/ir.h>
+#include <list>
+#include <unordered_map>
+#include <vector>
+namespace torch {
+namespace jit {
+
+using SparseBitVector = ::c10::SparseBitVector<256>;
+
+// BuildLivenessSets computes "bailout" liveness which is equivalent to
+// "{LIVE_IN} or {GEN}" or "{LIVE_OUT} - {KILL}"
+TORCH_API std::unordered_map<Node*, std::vector<Value*>> BuildLivenessSets(
+    std::shared_ptr<Graph> graph);
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/lower_grad_of.h

@@ -0,0 +1,17 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// This pass removes 'grad_of' nodes, replacing them with conditionals of
+// the form:
+// if any_defined(inputs):
+//  outputs = <original_computation>
+// else:
+//  outputs = undefineds
+TORCH_API void LowerGradOf(Graph& g);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/lower_graph.h

@@ -0,0 +1,22 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+using ModulePtr = c10::intrusive_ptr<c10::ivalue::Object>;
+
+// Given a graph with of a method which first argument is %self, lower it to a
+// graph where all attributes accesses are replaced with explicit inputs of the
+// graph (rather than results of prim::GetAttr executed on %self).
+//
+// Returns a tuple (graph, parameters) where the last module.parameters.size()
+// inputs to the graph are the trainable parameters used in this method. The
+// remaining inputs are the true inputs to the function.
+TORCH_API std::pair<std::shared_ptr<Graph>, std::vector<IValue>> LowerGraph(
+    Graph& graph,
+    const ModulePtr& self);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/lower_tuples.h

@@ -0,0 +1,20 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+
+namespace torch {
+namespace jit {
+
+// removes tuples where TupleConstruct and TupleUnpack are matched
+// but leaves tuples in place across if statements, loops, and as inputs/outputs
+TORCH_API void LowerSimpleTuples(const std::shared_ptr<Graph>& graph);
+
+// removes _all_ tuples and raises an error if some cannot be removed
+// this is used by ONNX to ensure there are not tuples before conversion,
+// but will not work on graphs whose inputs contain tuples.
+TORCH_API void LowerAllTuples(const std::shared_ptr<Graph>& graph);
+
+TORCH_API void LowerSimpleTuples(Block* block);
+
+} // namespace jit
+} // namespace torch

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/mobile_optimizer_type.h

@@ -0,0 +1,13 @@
+#pragma once
+
+#include <cstdint>
+
+enum class MobileOptimizerType : int8_t {
+  CONV_BN_FUSION,
+  INSERT_FOLD_PREPACK_OPS,
+  REMOVE_DROPOUT,
+  FUSE_ADD_RELU,
+  HOIST_CONV_PACKED_PARAMS,
+  CONV_1D_TO_2D,
+  VULKAN_AUTOMATIC_GPU_TRANSFER,
+};

videollama2/lib/python3.10/site-packages/torch/include/torch/csrc/jit/passes/onednn_graph_fuser.h

@@ -0,0 +1,64 @@
+#pragma once
+
+#include <torch/csrc/jit/ir/ir.h>
+#include <torch/csrc/jit/passes/pass_manager.h>
+
+#include <ATen/Config.h>
+
+namespace torch {
+namespace jit {
+namespace fuser {
+namespace onednn {
+
+static std::atomic<bool> onednn_enabled{true};
+
+static std::atomic<bool>& getLlgaEnabled() {
+  return onednn_enabled;
+}
+
+TORCH_API void fuseGraph(std::shared_ptr<Graph>& g);
+
+} // namespace onednn
+} // namespace fuser
+
+struct C10_EXPORT RegisterLlgaFuseGraph
+    : public PassManager<RegisterLlgaFuseGraph> {
+  static bool setEnabled(bool enabled) {
+    TORCH_CHECK(
+        AT_MKLDNN_ENABLED(),
+        "Running oneDNN Graph fuser is only supported with MKLDNN builds.");
+    bool oldState = fuser::onednn::getLlgaEnabled();
+    fuser::onednn::getLlgaEnabled() = enabled;
+    if (enabled) {
+      registerPass(fuser::onednn::fuseGraph);
+    } else {
+      clearPass();
+    }
+    return oldState;
+  }
+
+  static bool isEnabled() {
+    return fuser::onednn::getLlgaEnabled();
+  }
+
+  // override PassManager::registerPass to register pre-pass
+  static bool registerPass(GraphPass p) {
+    if (!isRegistered()) {
+      passID(registerPrePass(std::move(p)), true);
+      isRegistered(true);
+      return false;
+    }
+    return true;
+  }
+
+  // override PassManager::clearPass to clear pre-pass
+  static void clearPass() {
+    if (isRegistered()) {
+      clearPrePass(passID());
+      isRegistered(true);
+    }
+  }
+};
+
+} // namespace jit
+} // namespace torch