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1.9.0

many new features, numerous bug-fixes, improved test coverage and better
documentation. There have been a number of deprecations and API changes
in this release, which are documented below. All users are encouraged to
upgrade to this release, as there are a large number of bug-fixes and
optimizations. Before upgrading, we recommend that users check that
their own code does not use deprecated SciPy functionality (to do so,
run your code with ``python -Wd`` and check for ``DeprecationWarning`` s).
Our development attention will now shift to bug-fix releases on the
1.9.x branch, and on adding new features on the main branch.

This release requires Python `3.8+` and NumPy `1.18.5` or greater.

For running on PyPy, PyPy3 `6.0+` is required.


Highlights of this release
===================

- We have modernized our build system to use ``meson``, substantially reducing
our source build times
- Added `scipy.optimize.milp`, new function for mixed-integer linear
programming.
- Added `scipy.stats.fit` for fitting discrete and continuous distributions
to data.
- Tensor-product spline interpolation modes were added to
`scipy.interpolate.RegularGridInterpolator`.
- A new global optimizer (DIviding RECTangles algorithm)
`scipy.optimize.direct`



New features
===========


`scipy.interpolate` improvements
================================
- Speed up the ``RBFInterpolator`` evaluation with high dimensional
interpolants.
- Added new spline based interpolation methods for
`scipy.interpolate.RegularGridInterpolator` and its tutorial.
- `scipy.interpolate.RegularGridInterpolator` and `scipy.interpolate.interpn`
now accept descending ordered points.
- ``RegularGridInterpolator`` now handles length-1 grid axes.
- The ``BivariateSpline`` subclasses have a new method ``partial_derivative``
which constructs a new spline object representing a derivative of an
original spline. This mirrors the corresponding functionality for univariate
splines, ``splder`` and ``BSpline.derivative``, and can substantially speed
up repeated evaluation of derivatives.

`scipy.linalg` improvements
===========================
- `scipy.linalg.expm` now accepts nD arrays. Its speed is also improved.
- Minimum required LAPACK version is bumped to ``3.7.1``.


`scipy.fft` improvements
========================
- Added ``uarray`` multimethods for `scipy.fft.fht` and `scipy.fft.ifht`
to allow provision of third party backend implementations such as those
recently added to CuPy.

`scipy.optimize` improvements
=============================
- A new global optimizer, `scipy.optimize.direct` (DIviding RECTangles algorithm)
was added. For problems with inexpensive function evaluations, like the ones
in the SciPy benchmark suite, ``direct`` is competitive with the best other
solvers in SciPy (``dual_annealing`` and ``differential_evolution``) in terms
of execution time. See
`gh-14300 <https://github.com/scipy/scipy/pull/14300>`__ for more details.

- Add a ``full_output`` parameter to `scipy.optimize.curve_fit` to output
additional solution information.
- Add a ``integrality`` parameter to `scipy.optimize.differential_evolution`,
enabling integer constraints on parameters.
- Add a ``vectorized`` parameter to call a vectorized objective function only
once per iteration. This can improve minimization speed by reducing
interpreter overhead from the multiple objective function calls.
- The default method of `scipy.optimize.linprog` is now ``'highs'``.
- Added `scipy.optimize.milp`, new function for mixed-integer linear
programming.
- Added Newton-TFQMR method to ``newton_krylov``.
- Added support for the ``Bounds`` class in ``shgo`` and ``dual_annealing`` for
a more uniform API across `scipy.optimize`.
- Added the ``vectorized`` keyword to ``differential_evolution``.
- ``approx_fprime`` now works with vector-valued functions.

`scipy.signal` improvements
===========================
- The new window function `scipy.signal.windows.kaiser_bessel_derived` was
added to compute the Kaiser-Bessel derived window.
- Single-precision ``hilbert`` operations are now faster as a result of more
consistent ``dtype`` handling.

`scipy.sparse` improvements
===========================
- Add a ``copy`` parameter to `scipy.sparce.csgraph.laplacian`. Using inplace
computation with ``copy=False`` reduces the memory footprint.
- Add a ``dtype`` parameter to `scipy.sparce.csgraph.laplacian` for type casting.
- Add a ``symmetrized`` parameter to `scipy.sparce.csgraph.laplacian` to produce
symmetric Laplacian for directed graphs.
- Add a ``form`` parameter to `scipy.sparce.csgraph.laplacian` taking one of the
three values: ``array``, or ``function``, or ``lo`` determining the format of
the output Laplacian:
* ``array`` is a numpy array (backward compatible default);
* ``function`` is a pointer to a lambda-function evaluating the
Laplacian-vector or Laplacian-matrix product;
* ``lo`` results in the format of the ``LinearOperator``.

`scipy.sparse.linalg` improvements
==================================
- ``lobpcg`` performance improvements for small input cases.

`scipy.spatial` improvements
============================
- Add an ``order`` parameter to `scipy.spatial.transform.Rotation.from_quat`
and `scipy.spatial.transform.Rotation.as_quat` to specify quaternion format.


`scipy.stats` improvements
==========================
- `scipy.stats.monte_carlo_test` performs one-sample Monte Carlo hypothesis
tests to assess whether a sample was drawn from a given distribution. Besides
reproducing the results of hypothesis tests like `scipy.stats.ks_1samp`,
`scipy.stats.normaltest`, and `scipy.stats.cramervonmises` without small sample
size limitations, it makes it possible to perform similar tests using arbitrary
statistics and distributions.

- Several `scipy.stats` functions support new ``axis`` (integer or tuple of
integers) and ``nan_policy`` ('raise', 'omit', or 'propagate'), and
``keepdims`` arguments.
These functions also support masked arrays as inputs, even if they do not have
a `scipy.stats.mstats` counterpart. Edge cases for multidimensional arrays,
such as when axis-slices have no unmasked elements or entire inputs are of
size zero, are handled consistently.

- Add a ``weight`` parameter to `scipy.stats.hmean`.

- Several improvements have been made to `scipy.stats.levy_stable`. Substantial
improvement has been made for numerical evaluation of the pdf and cdf,
resolving [12658](https://github.com/scipy/scipy/issues/12658) and
[14944](https://github.com/scipy/scipy/issues/14994). The improvement is
particularly dramatic for stability parameter ``alpha`` close to or equal to 1
and for ``alpha`` below but approaching its maximum value of 2. The alternative
fast Fourier transform based method for pdf calculation has also been updated
to use the approach of Wang and Zhang from their 2008 conference paper
*Simpson’s rule based FFT method to compute densities of stable distribution*,
making this method more competitive with the default method. In addition,
users now have the option to change the parametrization of the Levy Stable
distribution to Nolan's "S0" parametrization which is used internally by
SciPy's pdf and cdf implementations. The "S0" parametrization is described in
Nolan's paper [*Numerical calculation of stable densities and distribution
functions*](https://doi.org/10.1080/15326349708807450) upon which SciPy's
implementation is based. "S0" has the advantage that ``delta`` and ``gamma``
are proper location and scale parameters. With ``delta`` and ``gamma`` fixed,
the location and scale of the resulting distribution remain unchanged as
``alpha`` and ``beta`` change. This is not the case for the default "S1"
parametrization. Finally, more options have been exposed to allow users to
trade off between runtime and accuracy for both the default and FFT methods of
pdf and cdf calculation. More information can be found in the documentation
here (to be linked).

- Added `scipy.stats.fit` for fitting discrete and continuous distributions to
data.

- The methods ``"pearson"`` and ``"tippet"`` from `scipy.stats.combine_pvalues`
have been fixed to return the correct p-values, resolving
[15373](https://github.com/scipy/scipy/issues/15373). In addition, the
documentation for `scipy.stats.combine_pvalues` has been expanded and improved.

- Unlike other reduction functions, ``stats.mode`` didn't consume the axis
being operated on and failed for negative axis inputs. Both the bugs have been
fixed. Note that ``stats.mode`` will now consume the input axis and return an
ndarray with the ``axis`` dimension removed.

- Replaced implementation of `scipy.stats.ncf` with the implementation from
Boost for improved reliability.

- Add a `bits` parameter to `scipy.stats.qmc.Sobol`. It allows to use from 0
to 64 bits to compute the sequence. Default is ``None`` which corresponds to
30 for backward compatibility. Using a higher value allow to sample more
points. Note: ``bits`` does not affect the output dtype.

- Add a `integers` method to `scipy.stats.qmc.QMCEngine`. It allows sampling
integers using any QMC sampler.

- Improved the fit speed and accuracy of ``stats.pareto``.

- Added ``qrvs`` method to ``NumericalInversePolynomial`` to match the
situation for ``NumericalInverseHermite``.

- Faster random variate generation for ``gennorm`` and ``nakagami``.

- ``lloyd_centroidal_voronoi_tessellation`` has been added to allow improved
sample distributions via iterative application of Voronoi diagrams and
centering operations

- Add `scipy.stats.qmc.PoissonDisk` to sample using the Poisson disk sampling
method. It guarantees that samples are separated from each other by a
given ``radius``.

- Add `scipy.stats.pmean` to calculate the weighted power mean also called
generalized mean.



Deprecated features
================

- Due to collision with the shape parameter ``n`` of several distributions,
use of the distribution ``moment`` method with keyword argument ``n`` is
deprecated. Keyword ``n`` is replaced with keyword ``order``.
- Similarly, use of the distribution ``interval`` method with keyword arguments
``alpha`` is deprecated. Keyword ``alpha`` is replaced with keyword
``confidence``.
- The ``'simplex'``, ``'revised simplex'``, and ``'interior-point'`` methods
of `scipy.optimize.linprog` are deprecated. Methods ``highs``, ``highs-ds``,
or ``highs-ipm`` should be used in new code.
- Support for non-numeric arrays has been deprecated from ``stats.mode``.
``pandas.DataFrame.mode`` can be used instead.
- The function `spatial.distance.kulsinski` has been deprecated in favor
of `spatial.distance.kulczynski1`.
- The ``maxiter`` keyword of the truncated Newton (TNC) algorithm has been
deprecated in favour of ``maxfun``.
- The ``vertices`` keyword of ``Delauney.qhull`` now raises a
DeprecationWarning, after having been deprecated in documentation only
for a long time.
- The ``extradoc`` keyword of ``rv_continuous``, ``rv_discrete`` and
``rv_sample`` now raises a DeprecationWarning, after having been deprecated in
documentation only for a long time.


Expired Deprecations
=================
There is an ongoing effort to follow through on long-standing deprecations.
The following previously deprecated features are affected:

- Object arrays in sparse matrices now raise an error.
- Inexact indices into sparse matrices now raise an error.
- Passing ``radius=None`` to `scipy.spatial.SphericalVoronoi` now raises an
error (not adding ``radius`` defaults to 1, as before).
- Several BSpline methods now raise an error if inputs have ``ndim > 1``.
- The ``_rvs`` method of statistical distributions now requires a ``size``
parameter.
- Passing a ``fillvalue`` that cannot be cast to the output type in
`scipy.signal.convolve2d` now raises an error.
- `scipy.spatial.distance` now enforces that the input vectors are
one-dimensional.
- Removed ``stats.itemfreq``.
- Removed ``stats.median_absolute_deviation``.
- Removed ``n_jobs`` keyword argument and use of ``k=None`` from
``kdtree.query``.
- Removed ``right`` keyword from ``interpolate.PPoly.extend``.
- Removed ``debug`` keyword from ``scipy.linalg.solve_*``.
- Removed class ``_ppform`` ``scipy.interpolate``.
- Removed BSR methods ``matvec`` and ``matmat``.
- Removed ``mlab`` truncation mode from ``cluster.dendrogram``.
- Removed ``cluster.vq.py_vq2``.
- Removed keyword arguments ``ftol`` and ``xtol`` from
``optimize.minimize(method='Nelder-Mead')``.
- Removed ``signal.windows.hanning``.
- Removed LAPACK ``gegv`` functions from ``linalg``; this raises the minimally
required LAPACK version to 3.7.1.
- Removed ``spatial.distance.matching``.
- Removed the alias ``scipy.random`` for ``numpy.random``.
- Removed docstring related functions from ``scipy.misc`` (``docformat``,
``inherit_docstring_from``, ``extend_notes_in_docstring``,
``replace_notes_in_docstring``, ``indentcount_lines``, ``filldoc``,
``unindent_dict``, ``unindent_string``).
- Removed ``linalg.pinv2``.


Backwards incompatible changes
==========================

- Several `scipy.stats` functions now convert ``np.matrix`` to ``np.ndarray``s
before the calculation is performed. In this case, the output will be a scalar
or ``np.ndarray`` of appropriate shape rather than a 2D ``np.matrix``.
Similarly, while masked elements of masked arrays are still ignored, the
output will be a scalar or ``np.ndarray`` rather than a masked array with
``mask=False``.
- The default method of `scipy.optimize.linprog` is now ``'highs'``, not
``'interior-point'`` (which is now deprecated), so callback functions and some
options are no longer supported with the default method.
- For `scipy.stats.combine_pvalues`, the sign of the test statistic returned
for the method ``"pearson"`` has been flipped so that higher values of the
statistic now correspond to lower p-values, making the statistic more
consistent with those of the other methods and with the majority of the
literature.
- `scipy.linalg.expm` due to historical reasons was using the sparse
implementation and thus was accepting sparse arrays. Now it only works with
nDarrays. For sparse usage, `scipy.sparse.linalg.expm` needs to be used
explicitly.
- The definition of `scipy.stats.circvar` has reverted to the one that is
standard in the literature; note that this is not the same as the square of
`scipy.stats.circstd`.
- Remove inheritance to `QMCEngine` in `MultinomialQMC` and
`MultivariateNormalQMC`. It removes the methods `fast_forward` and `reset`.
- Init of `MultinomialQMC` now require the number of trials with `n_trials`.
Hence, `MultinomialQMC.random` output has now the correct shape ``(n, pvals)``.
- Several function-specific warnings (``F_onewayConstantInputWarning``,
``F_onewayBadInputSizesWarning``, ``PearsonRConstantInputWarning``,
``PearsonRNearConstantInputWarning``, ``SpearmanRConstantInputWarning``, and
``BootstrapDegenerateDistributionWarning``) have been replaced with more
general warnings.



Other changes
============

- A draft developer CLI is available for SciPy, leveraging the ``doit``,
``click`` and ``rich-click`` tools. For more details, see
[gh-15959](https://github.com/scipy/scipy/pull/15959).

- The SciPy contributor guide has been reorganized and updated
(see [15947](https://github.com/scipy/scipy/pull/15947) for details).

- QUADPACK Fortran routines in `scipy.integrate`, which power
`scipy.integrate.quad`, have been marked as `recursive`. This should fix rare
issues in multivariate integration (`nquad` and friends) and obviate the need
for compiler-specific compile flags (`/recursive` for ifort etc). Please file
an issue if this change turns out problematic for you. This is also true for
``FITPACK`` routines in `scipy.interpolate`, which power ``splrep``,
``splev`` etc., and ``*UnivariateSpline`` and ``*BivariateSpline`` classes.

- the ``USE_PROPACK`` environment variable has been renamed to
``SCIPY_USE_PROPACK``; setting to a non-zero value will enable
the usage of the ``PROPACK`` library as before

Lazy access to subpackages
======================

Before this release, all subpackages of SciPy (`cluster`, `fft`, `ndimage`,
etc.) had to be explicitly imported. Now, these subpackages are lazily loaded
as soon as they are accessed, so that the following is possible (if desired
for interactive use, it's not actually recommended for code,
see :ref:`scipy-api`):
``import scipy as sp; sp.fft.dct([1, 2, 3])``. Advantages include: making it
easier to navigate SciPy in interactive terminals, reducing subpackage import
conflicts (which before required
``import networkx.linalg as nla; import scipy.linalg as sla``),
and avoiding repeatedly having to update imports during teaching &
experimentation. Also see
[the related community specification document](https://scientific-python.org/specs/spec-0001/).

SciPy switched to Meson as its build system
===========================================

This is the first release that ships with [Meson](https://mesonbuild.com) as
the build system. When installing with ``pip`` or ``pypa/build``, Meson will be
used (invoked via the ``meson-python`` build hook). This change brings
significant benefits - most importantly much faster build times, but also
better support for cross-compilation and cleaner build logs.

*Note*:

This release still ships with support for ``numpy.distutils``-based builds
as well. Those can be invoked through the ``setup.py`` command-line
interface (e.g., ``python setup.py install``). It is planned to remove
``numpy.distutils`` support before the 1.10.0 release.

When building from source, a number of things have changed compared to building
with ``numpy.distutils``:

- New build dependencies: ``meson``, ``ninja``, and ``pkg-config``.
``setuptools`` and ``wheel`` are no longer needed.
- BLAS and LAPACK libraries that are supported haven't changed, however the
discovery mechanism has: that is now using ``pkg-config`` instead of hardcoded
paths or a ``site.cfg`` file.
- The build defaults to using OpenBLAS. See :ref:`blas-lapack-selection` for
details.

The two CLIs that can be used to build wheels are ``pip`` and ``build``. In
addition, the SciPy repo contains a ``python dev.py`` CLI for any kind of
development task (see its ``--help`` for details). For a comparison between old
(``distutils``) and new (``meson``) build commands, see :ref:`meson-faq`.

For more information on the introduction of Meson support in SciPy, see
`gh-13615 <https://github.com/scipy/scipy/issues/13615>`__ and
`this blog post <https://labs.quansight.org/blog/2021/07/moving-scipy-to-meson/>`__.



Authors
=======

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A total of 153 people contributed to this release.
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1.9.0rc3

1.9.0rc2

1.9.0rc1

1.8.1

compared to `1.8.0`. Notably, usage of Pythran has been
restored for Windows builds/binaries.

Authors
=======

* Henry Schreiner
* Maximilian Nöthe
* Sebastian Berg (1)
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* Niels Doucet (1) +
* DWesl (4)
* Isuru Fernando (1)
* Ralf Gommers (4)
* Matt Haberland (1)
* Andrew Nelson (1)
* Dimitri Papadopoulos Orfanos (1) +
* Tirth Patel (3)
* Tyler Reddy (46)
* Pamphile Roy (7)
* Niyas Sait (1) +
* H. Vetinari (2)
* Warren Weckesser (1)

A total of 17 people contributed to this release.
People with a "+" by their names contributed a patch for the first time.
This list of names is automatically generated, and may not be fully complete.

1.8.0

many new features, numerous bug-fixes, improved test coverage and better
documentation. There have been a number of deprecations and API changes
in this release, which are documented below. All users are encouraged to
upgrade to this release, as there are a large number of bug-fixes and
optimizations. Before upgrading, we recommend that users check that
their own code does not use deprecated SciPy functionality (to do so,
run your code with ``python -Wd`` and check for ``DeprecationWarning`` s).
Our development attention will now shift to bug-fix releases on the
1.8.x branch, and on adding new features on the master branch.

This release requires Python `3.8`+ and NumPy `1.17.3` or greater.

For running on PyPy, PyPy3 `6.0`+ is required.


Highlights of this release
-------------------------

- A sparse array API has been added for early testing and feedback; this
work is ongoing, and users should expect minor API refinements over
the next few releases.
- The sparse SVD library PROPACK is now vendored with SciPy, and an interface
is exposed via `scipy.sparse.svds` with ``solver='PROPACK'``.
- A new `scipy.stats.sampling` submodule that leverages the ``UNU.RAN`` C
library to sample from arbitrary univariate non-uniform continuous and
discrete distributions
- All namespaces that were private but happened to miss underscores in
their names have been deprecated.

New features
-------------

`scipy.fft` improvements
========================

Added an ``orthogonalize=None`` parameter to the real transforms in `scipy.fft`
which controls whether the modified definition of DCT/DST is used without
changing the overall scaling.

`scipy.fft` backend registration is now smoother, operating with a single
registration call and no longer requiring a context manager.

`scipy.integrate` improvements
==============================

`scipy.integrate.quad_vec` introduces a new optional keyword-only argument,
``args``. ``args`` takes in a tuple of extra arguments if any (default is
``args=()``), which is then internally used to pass into the callable function
(needing these extra arguments) which we wish to integrate.

`scipy.interpolate` improvements
================================

`scipy.interpolate.BSpline` has a new method, ``design_matrix``, which
constructs a design matrix of b-splines in the sparse CSR format.

A new method ``from_cubic`` in ``BSpline`` class allows to convert a
``CubicSpline`` object to ``BSpline`` object.

`scipy.linalg` improvements
===========================

`scipy.linalg` gained three new public array structure investigation functions.
`scipy.linalg.bandwidth` returns information about the bandedness of an array
and can be used to test for triangular structure discovery, while
`scipy.linalg.issymmetric` and `scipy.linalg.ishermitian` test the array for
exact and approximate symmetric/Hermitian structure.

`scipy.optimize` improvements
=============================

`scipy.optimize.check_grad` introduces two new optional keyword only arguments,
``direction`` and ``seed``. ``direction`` can take values, ``'all'`` (default),
in which case all the one hot direction vectors will be used for verifying
the input analytical gradient function and ``'random'``, in which case a
random direction vector will be used for the same purpose. ``seed``
(default is ``None``) can be used for reproducing the return value of
``check_grad`` function. It will be used only when ``direction='random'``.

The `scipy.optimize.minimize` ``TNC`` method has been rewritten to use Cython
bindings. This also fixes an issue with the callback altering the state of the
optimization.

Added optional parameters ``target_accept_rate`` and ``stepwise_factor`` for
adapative step size adjustment in ``basinhopping``.

The ``epsilon`` argument to ``approx_fprime`` is now optional so that it may
have a default value consistent with most other functions in `scipy.optimize`.

`scipy.signal` improvements
===========================

Add ``analog`` argument, default ``False``, to ``zpk2sos``, and add new pairing
option ``'minimal'`` to construct analog and minimal discrete SOS arrays.
``tf2sos`` uses zpk2sos; add ``analog`` argument here as well, and pass it on
to ``zpk2sos``.

``savgol_coeffs`` and ``savgol_filter`` now work for even window lengths.

Added the Chirp Z-transform and Zoom FFT available as `scipy.signal.CZT` and
`scipy.signal.ZoomFFT`.

`scipy.sparse` improvements
===========================

An array API has been added for early testing and feedback; this
work is ongoing, and users should expect minor API refinements over
the next few releases. Please refer to the `scipy.sparse`
docstring for more information.

``maximum_flow`` introduces optional keyword only argument, ``method``
which accepts either, ``'edmonds-karp'`` (Edmonds Karp algorithm) or
``'dinic'`` (Dinic's algorithm). Moreover, ``'dinic'`` is used as default
value for ``method`` which means that Dinic's algorithm is used for computing
maximum flow unless specified. See, the comparison between the supported
algorithms in
`this comment <https://github.com/scipy/scipy/pull/14358#issue-684212523>`_.

Parameters ``atol``, ``btol`` now default to 1e-6 in
`scipy.sparse.linalg.lsmr` to match with default values in
`scipy.sparse.linalg.lsqr`.

Add the Transpose-Free Quasi-Minimal Residual algorithm (TFQMR) for general
nonsingular non-Hermitian linear systems in `scipy.sparse.linalg.tfqmr`.

The sparse SVD library PROPACK is now vendored with SciPy, and an interface is
exposed via `scipy.sparse.svds` with ``solver='PROPACK'``. For some problems,
this may be faster and/or more accurate than the default, ARPACK.

``sparse.linalg`` iterative solvers now have a nonzero initial guess option,
which may be specified as ``x0 = 'Mb'``.

The ``trace`` method has been added for sparse matrices.

`scipy.spatial` improvements
============================

`scipy.spatial.transform.Rotation` now supports item assignment and has a new
``concatenate`` method.

Add `scipy.spatial.distance.kulczynski1` in favour of
`scipy.spatial.distance.kulsinski` which will be deprecated in the next
release.

`scipy.spatial.distance.minkowski` now also supports ``0<p<1``.

`scipy.special` improvements
============================

The new function `scipy.special.log_expit` computes the logarithm of the
logistic sigmoid function. The function is formulated to provide accurate
results for large positive and negative inputs, so it avoids the problems
that would occur in the naive implementation ``log(expit(x))``.

A suite of five new functions for elliptic integrals:
``scipy.special.ellipr{c,d,f,g,j}``. These are the
`Carlson symmetric elliptic integrals <https://dlmf.nist.gov/19.16>`_, which
have computational advantages over the classical Legendre integrals. Previous
versions included some elliptic integrals from the Cephes library
(``scipy.special.ellip{k,km1,kinc,e,einc}``) but was missing the integral of
third kind (Legendre's Pi), which can be evaluated using the new Carlson
functions. The new Carlson elliptic integral functions can be evaluated in the
complex plane, whereas the Cephes library's functions are only defined for
real inputs.

Several defects in `scipy.special.hyp2f1` have been corrected. Approximately
correct values are now returned for ``z`` near ``exp(+-i*pi/3)``, fixing
`8054 <https://github.com/scipy/scipy/issues/8054>`_. Evaluation for such ``z``
is now calculated through a series derived by
`López and Temme (2013) <https://arxiv.org/abs/1306.2046>`_ that converges in
these regions. In addition, degenerate cases with one or more of ``a``, ``b``,
and/or ``c`` a non-positive integer are now handled in a manner consistent with
`mpmath's hyp2f1 implementation <https://mpmath.org/doc/current/functions/hypergeometric.html>`_,
which fixes `7340 <https://github.com/scipy/scipy/issues/7340>`_. These fixes
were made as part of an effort to rewrite the Fortran 77 implementation of
hyp2f1 in Cython piece by piece. This rewriting is now roughly 50% complete.

`scipy.stats` improvements
==========================

`scipy.stats.qmc.LatinHypercube` introduces two new optional keyword-only
arguments, ``optimization`` and ``strength``. ``optimization`` is either
``None`` or ``random-cd``. In the latter, random permutations are performed to
improve the centered discrepancy. ``strength`` is either 1 or 2. 1 corresponds
to the classical LHS while 2 has better sub-projection properties. This
construction is referred to as an orthogonal array based LHS of strength 2.
In both cases, the output is still a LHS.

`scipy.stats.qmc.Halton` is faster as the underlying Van der Corput sequence
was ported to Cython.

The ``alternative`` parameter was added to the ``kendalltau`` and ``somersd``
functions to allow one-sided hypothesis testing. Similarly, the masked
versions of ``skewtest``, ``kurtosistest``, ``ttest_1samp``, ``ttest_ind``,
and ``ttest_rel`` now also have an ``alternative`` parameter.

Add `scipy.stats.gzscore` to calculate the geometrical z score.

Random variate generators to sample from arbitrary univariate non-uniform
continuous and discrete distributions have been added to the new
`scipy.stats.sampling` submodule. Implementations of a C library
`UNU.RAN <http://statmath.wu.ac.at/software/unuran/>`_ are used for
performance. The generators added are:

- TransformedDensityRejection
- DiscreteAliasUrn
- NumericalInversePolynomial
- DiscreteGuideTable
- SimpleRatioUniforms

The ``binned_statistic`` set of functions now have improved performance for
the ``std``, ``min``, ``max``, and ``median`` statistic calculations.

``somersd`` and ``_tau_b`` now have faster Pythran-based implementations.

Some general efficiency improvements to handling of ``nan`` values in
several ``stats`` functions.

Added the Tukey-Kramer test as `scipy.stats.tukey_hsd`.

Improved performance of `scipy.stats.argus` ``rvs`` method.

Added the parameter ``keepdims`` to `scipy.stats.variation` and prevent the
undesirable return of a masked array from the function in some cases.

``permutation_test`` performs an exact or randomized permutation test of a
given statistic on provided data.


Deprecated features
---------------------

Clear split between public and private API
==========================================

SciPy has always documented what its public API consisted of in
:ref:`its API reference docs <scipy-api>`,
however there never was a clear split between public and
private namespaces in the code base. In this release, all namespaces that were
private but happened to miss underscores in their names have been deprecated.
These include (as examples, there are many more):

- ``scipy.signal.spline``
- ``scipy.ndimage.filters``
- ``scipy.ndimage.fourier``
- ``scipy.ndimage.measurements``
- ``scipy.ndimage.morphology``
- ``scipy.ndimage.interpolation``
- ``scipy.sparse.linalg.solve``
- ``scipy.sparse.linalg.eigen``
- ``scipy.sparse.linalg.isolve``

All functions and other objects in these namespaces that were meant to be
public are accessible from their respective public namespace (e.g.
`scipy.signal`). The design principle is that any public object must be
accessible from a single namespace only; there are a few exceptions, mostly for
historical reasons (e.g., ``stats`` and ``stats.distributions`` overlap).
For other libraries aiming to provide a SciPy-compatible API, it is now
unambiguous what namespace structure to follow. See
`gh-14360 <https://github.com/scipy/scipy/issues/14360>`_ for more details.

Other deprecations
--------------------

``NumericalInverseHermite`` has been deprecated from `scipy.stats` and moved
to the `scipy.stats.sampling` submodule. It now uses the C implementation of
the UNU.RAN library so the result of methods like ``ppf`` may vary slightly.
Parameter ``tol`` has been deprecated and renamed to ``u_resolution``. The
parameter ``max_intervals`` has also been deprecated and will be removed in a
future release of SciPy.


Backwards incompatible changes
----------------------------------

- SciPy has raised the minimum compiler versions to GCC 6.3 on linux and
VS2019 on windows. In particular, this means that SciPy may now use C99 and
C++14 features. For more details see
`here <https://docs.scipy.org/doc/scipy/reference/dev/toolchain.html>`_.
- The result for empty bins for `scipy.stats.binned_statistic` with the builtin
``'std'`` metric is now ``nan``, for consistency with ``np.std``.
- The function `scipy.spatial.distance.wminkowski` has been removed. To achieve
the same results as before, please use the ``minkowski`` distance function
with the (optional) ``w=`` keyword-argument for the given weight.

Other changes
---------------

Some Fortran 77 code was modernized to be compatible with NAG's nagfor Fortran
compiler (see, e.g., `PR 13229 <https://github.com/scipy/scipy/pull/13229>`_).

``threadpoolctl`` may now be used by our test suite to substantially improve
the efficiency of parallel test suite runs.

Authors
---------

* endolith
* adamadanandy +
* akeemlh +
* Anton Akhmerov
* Marvin Albert +
* alegresor +
* Andrew Annex +
* Pantelis Antonoudiou +
* Ross Barnowski +
* Christoph Baumgarten
* Stephen Becker +
* Nickolai Belakovski
* Peter Bell
* berberto +
* Georgii Bocharov +
* Evgeni Burovski
* Matthias Bussonnier
* CJ Carey
* Justin Charlong +
* Dennis Collaris +
* David Cottrell +
* cruyffturn +
* da-woods +
* Anirudh Dagar
* Tiger Du +
* Thomas Duvernay
* Dani El-Ayyass +
* Castedo Ellerman +
* Donnie Erb +
* Andreas Esders-Kopecky +
* Livio F +
* Isuru Fernando
* Evelyn Fitzgerald +
* Sara Fridovich-Keil +
* Mark E Fuller +
* Ralf Gommers
* Kevin Richard Green +
* guiweber +
* Nitish Gupta +
* h-vetinari
* Matt Haberland
* J. Hariharan +
* Charles Harris
* Trever Hines
* Ian Hunt-Isaak +
* ich +
* Itrimel +
* Jan-Hendrik Müller +
* Jebby993 +
* Evan W Jones +
* Nathaniel Jones +
* Jeffrey Kelling +
* Malik Idrees Hasan Khan +
* Sergey B Kirpichev
* Kadatatlu Kishore +
* Andrew Knyazev
* Ravin Kumar +
* Peter Mahler Larsen
* Eric Larson
* Antony Lee
* Gregory R. Lee
* Tim Leslie
* lezcano +
* Xingyu Liu
* Christian Lorentzen
* Lorenzo +
* Smit Lunagariya +
* Lv101Magikarp +
* Yair M +
* Cong Ma
* Lorenzo Maffioli +
* majiang +
* Brian McFee +
* Nicholas McKibben
* John Speed Meyers +
* millivolt9 +
* Jarrod Millman
* Harsh Mishra +
* Boaz Mohar +
* naelsondouglas +
* Andrew Nelson
* Nico Schlömer
* Thomas Nowotny +
* nullptr +
* Teddy Ort +
* Nick Papior
* ParticularMiner +
* Dima Pasechnik
* Tirth Patel
* Matti Picus
* Ilhan Polat
* Adrian Price-Whelan +
* Quentin Barthélemy +
* Sundar R +
* Judah Rand +
* Tyler Reddy
* Renal-Of-Loon +
* Frederic Renner +
* Pamphile Roy
* Bharath Saiguhan +
* Atsushi Sakai
* Eric Schanet +
* Sebastian Wallkötter
* serge-sans-paille
* Reshama Shaikh +
* Namami Shanker
* Walter Simson +
* Gagandeep Singh +
* Leo C. Stein +
* Albert Steppi
* Kai Striega
* Diana Sukhoverkhova
* Søren Fuglede Jørgensen
* Mike Taves
* Ben Thompson +
* Bas van Beek
* Jacob Vanderplas
* Dhruv Vats +
* H. Vetinari +
* Thomas Viehmann +
* Pauli Virtanen
* Vlad +
* Arthur Volant
* Samuel Wallan
* Stefan van der Walt
* Warren Weckesser
* Josh Wilson
* Haoyin Xu +
* Rory Yorke
* Egor Zemlyanoy
* Gang Zhao +
* 赵丰 (Zhao Feng) +

A total of 132 people contributed to this release.
People with a "+" by their names contributed a patch for the first time.
This list of names is automatically generated, and may not be fully complete.

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