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Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/joblib-1.5.2.dist-info/INSTALLER

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+uv

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/joblib-1.5.2.dist-info/METADATA

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+Metadata-Version: 2.4
+Name: joblib
+Version: 1.5.2
+Summary: Lightweight pipelining with Python functions
+Author-email: Gael Varoquaux <gael.varoquaux@normalesup.org>
+License: BSD 3-Clause
+Project-URL: Homepage, https://joblib.readthedocs.io
+Project-URL: Source, https://github.com/joblib/joblib
+Platform: any
+Classifier: Development Status :: 5 - Production/Stable
+Classifier: Environment :: Console
+Classifier: Intended Audience :: Developers
+Classifier: Intended Audience :: Science/Research
+Classifier: Intended Audience :: Education
+Classifier: License :: OSI Approved :: BSD License
+Classifier: Operating System :: OS Independent
+Classifier: Programming Language :: Python :: 3
+Classifier: Programming Language :: Python :: 3.9
+Classifier: Programming Language :: Python :: 3.10
+Classifier: Programming Language :: Python :: 3.11
+Classifier: Programming Language :: Python :: 3.12
+Classifier: Programming Language :: Python :: 3.13
+Classifier: Topic :: Scientific/Engineering
+Classifier: Topic :: Utilities
+Classifier: Topic :: Software Development :: Libraries
+Requires-Python: >=3.9
+Description-Content-Type: text/x-rst
+License-File: LICENSE.txt
+Dynamic: license-file
+
+|PyPi| |CIStatus| |ReadTheDocs| |Codecov|
+
+.. |PyPi| image:: https://badge.fury.io/py/joblib.svg
+   :target: https://badge.fury.io/py/joblib
+   :alt: Joblib version
+
+.. |CIStatus| image:: https://github.com/joblib/joblib/actions/workflows/test.yml/badge.svg
+   :target: https://github.com/joblib/joblib/actions/workflows/test.yml?query=branch%3Amain
+   :alt: CI status
+
+.. |ReadTheDocs| image:: https://readthedocs.org/projects/joblib/badge/?version=latest
+    :target: https://joblib.readthedocs.io/en/latest/?badge=latest
+    :alt: Documentation Status
+
+.. |Codecov| image:: https://codecov.io/gh/joblib/joblib/branch/main/graph/badge.svg
+   :target: https://codecov.io/gh/joblib/joblib
+   :alt: Codecov coverage
+
+
+The homepage of joblib with user documentation is located on:
+
+https://joblib.readthedocs.io
+
+Getting the latest code
+=======================
+
+To get the latest code using git, simply type::
+
+    git clone https://github.com/joblib/joblib.git
+
+If you don't have git installed, you can download a zip
+of the latest code: https://github.com/joblib/joblib/archive/refs/heads/main.zip
+
+Installing
+==========
+
+You can use `pip` to install joblib from any directory::
+
+    pip install joblib
+
+or install it in editable mode from the source directory::
+
+    pip install -e .
+
+Dependencies
+============
+
+- Joblib has no mandatory dependencies besides Python (supported versions are
+  3.9+).
+- Joblib has an optional dependency on Numpy (at least version 1.6.1) for array
+  manipulation.
+- Joblib includes its own vendored copy of
+  `loky <https://github.com/tomMoral/loky>`_ for process management.
+- Joblib can efficiently dump and load numpy arrays but does not require numpy
+  to be installed.
+- Joblib has an optional dependency on
+  `python-lz4 <https://pypi.python.org/pypi/lz4>`_ as a faster alternative to
+  zlib and gzip for compressed serialization.
+- Joblib has an optional dependency on psutil to mitigate memory leaks in
+  parallel worker processes.
+- Some examples require external dependencies such as pandas. See the
+  instructions in the `Building the docs`_ section for details.
+
+Workflow to contribute
+======================
+
+To contribute to joblib, first create an account on `github
+<https://github.com/>`_. Once this is done, fork the `joblib repository
+<https://github.com/joblib/joblib>`_ to have your own repository,
+clone it using ``git clone``. Make your changes in a branch of your clone, push
+them to your github account, test them locally, and when you are happy with
+them, send a pull request to the main repository.
+
+You can use `pre-commit <https://pre-commit.com/#install>`_ to run code style checks
+before each commit::
+
+    pip install pre-commit
+    pre-commit install
+
+pre-commit checks can be disabled for a single commit with::
+
+    git commit -n
+
+Running the test suite
+======================
+
+To run the test suite, you need the pytest (version >= 3) and coverage modules.
+Run the test suite using::
+
+    pytest joblib
+
+from the root of the project.
+
+Building the docs
+=================
+
+To build the docs you need to have sphinx (>=1.4) and some dependencies
+installed::
+
+    pip install -U -r .readthedocs-requirements.txt
+
+The docs can then be built with the following command::
+
+    make doc
+
+The html docs are located in the ``doc/_build/html`` directory.
+
+
+Making a source tarball
+=======================
+
+To create a source tarball, eg for packaging or distributing, run the
+following command::
+
+    pip install build
+    python -m build --sdist
+
+The tarball will be created in the `dist` directory. This command will create
+the resulting tarball that can be installed with no extra dependencies than the
+Python standard library.
+
+Making a release and uploading it to PyPI
+=========================================
+
+This command is only run by project manager, to make a release, and
+upload in to PyPI::
+
+    pip install build
+    python -m build --sdist --wheel
+    twine upload dist/*
+
+
+Note that the documentation should automatically get updated at each git
+push. If that is not the case, try building th doc locally and resolve
+any doc build error (in particular when running the examples).
+
+Updating the changelog
+======================
+
+Changes are listed in the CHANGES.rst file. They must be manually updated
+but, the following git command may be used to generate the lines::
+
+    git log --abbrev-commit --date=short --no-merges --sparse

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+joblib/test/test_memory.py,sha256=vTlNABkQzzHtRU_cXGr9eOEvrHAw7EEBmegMbX-gqZw,50660
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+joblib/test/test_testing.py,sha256=jL-Ph5pzUJSXOgY2rqbjMRp2y3i3CCWmEi-Lbw4Wzr8,2520
+joblib/test/test_utils.py,sha256=urXuyQ40OV5sLMoNx30Azh3hGr-yJqiMtHRJwBb8mw0,570
+joblib/test/testutils.py,sha256=A1bm-A5Ydis2iZJVI2-r3aFKUufWR42NZ8Yttrp8mzg,252
+joblib/testing.py,sha256=lK8HOBvrpXcTYUCSvpE-M2ede_dTVJzcmyw-9BrBsOc,3029

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/joblib-1.5.2.dist-info/WHEEL

@@ -0,0 +1,5 @@
+Wheel-Version: 1.0
+Generator: setuptools (80.9.0)
+Root-Is-Purelib: true
+Tag: py3-none-any
+

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/joblib-1.5.2.dist-info/licenses/LICENSE.txt

@@ -0,0 +1,29 @@
+BSD 3-Clause License
+
+Copyright (c) 2008-2021, The joblib developers.
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+* Redistributions of source code must retain the above copyright notice, this
+  list of conditions and the following disclaimer.
+
+* 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.
+
+* Neither the name of the copyright holder nor the names of its
+  contributors may be used to endorse or promote products derived from
+  this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "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 COPYRIGHT HOLDER OR CONTRIBUTORS 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.

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/joblib-1.5.2.dist-info/top_level.txt

@@ -0,0 +1 @@
+joblib

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/__config__.py

@@ -0,0 +1,170 @@
+# This file is generated by numpy's build process
+# It contains system_info results at the time of building this package.
+from enum import Enum
+from numpy._core._multiarray_umath import (
+    __cpu_features__,
+    __cpu_baseline__,
+    __cpu_dispatch__,
+)
+
+__all__ = ["show_config"]
+_built_with_meson = True
+
+
+class DisplayModes(Enum):
+    stdout = "stdout"
+    dicts = "dicts"
+
+
+def _cleanup(d):
+    """
+    Removes empty values in a `dict` recursively
+    This ensures we remove values that Meson could not provide to CONFIG
+    """
+    if isinstance(d, dict):
+        return {k: _cleanup(v) for k, v in d.items() if v and _cleanup(v)}
+    else:
+        return d
+
+
+CONFIG = _cleanup(
+    {
+        "Compilers": {
+            "c": {
+                "name": "gcc",
+                "linker": r"ld.bfd",
+                "version": "10.2.1",
+                "commands": r"cc",
+                "args": r"",
+                "linker args": r"",
+            },
+            "cython": {
+                "name": "cython",
+                "linker": r"cython",
+                "version": "3.1.0",
+                "commands": r"cython",
+                "args": r"",
+                "linker args": r"",
+            },
+            "c++": {
+                "name": "gcc",
+                "linker": r"ld.bfd",
+                "version": "10.2.1",
+                "commands": r"c++",
+                "args": r"",
+                "linker args": r"",
+            },
+        },
+        "Machine Information": {
+            "host": {
+                "cpu": "x86_64",
+                "family": "x86_64",
+                "endian": "little",
+                "system": "linux",
+            },
+            "build": {
+                "cpu": "x86_64",
+                "family": "x86_64",
+                "endian": "little",
+                "system": "linux",
+            },
+            "cross-compiled": bool("False".lower().replace("false", "")),
+        },
+        "Build Dependencies": {
+            "blas": {
+                "name": "scipy-openblas",
+                "found": bool("True".lower().replace("false", "")),
+                "version": "0.3.29",
+                "detection method": "pkgconfig",
+                "include directory": r"/opt/_internal/cpython-3.10.15/lib/python3.10/site-packages/scipy_openblas64/include",
+                "lib directory": r"/opt/_internal/cpython-3.10.15/lib/python3.10/site-packages/scipy_openblas64/lib",
+                "openblas configuration": r"OpenBLAS 0.3.29  USE64BITINT DYNAMIC_ARCH NO_AFFINITY Haswell MAX_THREADS=64",
+                "pc file directory": r"/project/.openblas",
+            },
+            "lapack": {
+                "name": "scipy-openblas",
+                "found": bool("True".lower().replace("false", "")),
+                "version": "0.3.29",
+                "detection method": "pkgconfig",
+                "include directory": r"/opt/_internal/cpython-3.10.15/lib/python3.10/site-packages/scipy_openblas64/include",
+                "lib directory": r"/opt/_internal/cpython-3.10.15/lib/python3.10/site-packages/scipy_openblas64/lib",
+                "openblas configuration": r"OpenBLAS 0.3.29  USE64BITINT DYNAMIC_ARCH NO_AFFINITY Haswell MAX_THREADS=64",
+                "pc file directory": r"/project/.openblas",
+            },
+        },
+        "Python Information": {
+            "path": r"/tmp/build-env-a8ncef9o/bin/python",
+            "version": "3.10",
+        },
+        "SIMD Extensions": {
+            "baseline": __cpu_baseline__,
+            "found": [
+                feature for feature in __cpu_dispatch__ if __cpu_features__[feature]
+            ],
+            "not found": [
+                feature for feature in __cpu_dispatch__ if not __cpu_features__[feature]
+            ],
+        },
+    }
+)
+
+
+def _check_pyyaml():
+    import yaml
+
+    return yaml
+
+
+def show(mode=DisplayModes.stdout.value):
+    """
+    Show libraries and system information on which NumPy was built
+    and is being used
+
+    Parameters
+    ----------
+    mode : {`'stdout'`, `'dicts'`}, optional.
+        Indicates how to display the config information.
+        `'stdout'` prints to console, `'dicts'` returns a dictionary
+        of the configuration.
+
+    Returns
+    -------
+    out : {`dict`, `None`}
+        If mode is `'dicts'`, a dict is returned, else None
+
+    See Also
+    --------
+    get_include : Returns the directory containing NumPy C
+                  header files.
+
+    Notes
+    -----
+    1. The `'stdout'` mode will give more readable
+       output if ``pyyaml`` is installed
+
+    """
+    if mode == DisplayModes.stdout.value:
+        try:  # Non-standard library, check import
+            yaml = _check_pyyaml()
+
+            print(yaml.dump(CONFIG))
+        except ModuleNotFoundError:
+            import warnings
+            import json
+
+            warnings.warn("Install `pyyaml` for better output", stacklevel=1)
+            print(json.dumps(CONFIG, indent=2))
+    elif mode == DisplayModes.dicts.value:
+        return CONFIG
+    else:
+        raise AttributeError(
+            f"Invalid `mode`, use one of: {', '.join([e.value for e in DisplayModes])}"
+        )
+
+
+def show_config(mode=DisplayModes.stdout.value):
+    return show(mode)
+
+
+show_config.__doc__ = show.__doc__
+show_config.__module__ = "numpy"

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/__config__.pyi

@@ -0,0 +1,102 @@
+from enum import Enum
+from types import ModuleType
+from typing import Final, Literal as L, TypedDict, overload, type_check_only
+from typing_extensions import NotRequired
+
+_CompilerConfigDictValue = TypedDict(
+    "_CompilerConfigDictValue",
+    {
+        "name": str,
+        "linker": str,
+        "version": str,
+        "commands": str,
+        "args": str,
+        "linker args": str,
+    },
+)
+_CompilerConfigDict = TypedDict(
+    "_CompilerConfigDict",
+    {
+        "c": _CompilerConfigDictValue,
+        "cython": _CompilerConfigDictValue,
+        "c++": _CompilerConfigDictValue,
+    },
+)
+_MachineInformationDict = TypedDict(
+    "_MachineInformationDict",
+    {
+        "host":_MachineInformationDictValue,
+        "build": _MachineInformationDictValue,
+        "cross-compiled": NotRequired[L[True]],
+    },
+)
+
+@type_check_only
+class _MachineInformationDictValue(TypedDict):
+    cpu: str
+    family: str
+    endian: L["little", "big"]
+    system: str
+
+_BuildDependenciesDictValue = TypedDict(
+    "_BuildDependenciesDictValue",
+    {
+        "name": str,
+        "found": NotRequired[L[True]],
+        "version": str,
+        "include directory": str,
+        "lib directory": str,
+        "openblas configuration": str,
+        "pc file directory": str,
+    },
+)
+
+class _BuildDependenciesDict(TypedDict):
+    blas: _BuildDependenciesDictValue
+    lapack: _BuildDependenciesDictValue
+
+class _PythonInformationDict(TypedDict):
+    path: str
+    version: str
+
+_SIMDExtensionsDict = TypedDict(
+    "_SIMDExtensionsDict",
+    {
+        "baseline": list[str],
+        "found": list[str],
+        "not found": list[str],
+    },
+)
+
+_ConfigDict = TypedDict(
+    "_ConfigDict",
+    {
+        "Compilers": _CompilerConfigDict,
+        "Machine Information": _MachineInformationDict,
+        "Build Dependencies": _BuildDependenciesDict,
+        "Python Information": _PythonInformationDict,
+        "SIMD Extensions": _SIMDExtensionsDict,
+    },
+)
+
+###
+
+__all__ = ["show_config"]
+
+CONFIG: Final[_ConfigDict] = ...
+
+class DisplayModes(Enum):
+    stdout = "stdout"
+    dicts = "dicts"
+
+def _check_pyyaml() -> ModuleType: ...
+
+@overload
+def show(mode: L["stdout"] = "stdout") -> None: ...
+@overload
+def show(mode: L["dicts"]) -> _ConfigDict: ...
+
+@overload
+def show_config(mode: L["stdout"] = "stdout") -> None: ...
+@overload
+def show_config(mode: L["dicts"]) -> _ConfigDict: ...

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd

@@ -0,0 +1,1250 @@
+# NumPy static imports for Cython >= 3.0
+#
+# If any of the PyArray_* functions are called, import_array must be
+# called first.  This is done automatically by Cython 3.0+ if a call
+# is not detected inside of the module.
+#
+# Author: Dag Sverre Seljebotn
+#
+
+from cpython.ref cimport Py_INCREF
+from cpython.object cimport PyObject, PyTypeObject, PyObject_TypeCheck
+cimport libc.stdio as stdio
+
+
+cdef extern from *:
+    # Leave a marker that the NumPy declarations came from NumPy itself and not from Cython.
+    # See https://github.com/cython/cython/issues/3573
+    """
+    /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */
+    """
+
+
+cdef extern from "numpy/arrayobject.h":
+    # It would be nice to use size_t and ssize_t, but ssize_t has special
+    # implicit conversion rules, so just use "long".
+    # Note: The actual type only matters for Cython promotion, so long
+    #       is closer than int, but could lead to incorrect promotion.
+    #       (Not to worrying, and always the status-quo.)
+    ctypedef signed long npy_intp
+    ctypedef unsigned long npy_uintp
+
+    ctypedef unsigned char      npy_bool
+
+    ctypedef signed char      npy_byte
+    ctypedef signed short     npy_short
+    ctypedef signed int       npy_int
+    ctypedef signed long      npy_long
+    ctypedef signed long long npy_longlong
+
+    ctypedef unsigned char      npy_ubyte
+    ctypedef unsigned short     npy_ushort
+    ctypedef unsigned int       npy_uint
+    ctypedef unsigned long      npy_ulong
+    ctypedef unsigned long long npy_ulonglong
+
+    ctypedef float        npy_float
+    ctypedef double       npy_double
+    ctypedef long double  npy_longdouble
+
+    ctypedef signed char        npy_int8
+    ctypedef signed short       npy_int16
+    ctypedef signed int         npy_int32
+    ctypedef signed long long   npy_int64
+    ctypedef signed long long   npy_int96
+    ctypedef signed long long   npy_int128
+
+    ctypedef unsigned char      npy_uint8
+    ctypedef unsigned short     npy_uint16
+    ctypedef unsigned int       npy_uint32
+    ctypedef unsigned long long npy_uint64
+    ctypedef unsigned long long npy_uint96
+    ctypedef unsigned long long npy_uint128
+
+    ctypedef float        npy_float32
+    ctypedef double       npy_float64
+    ctypedef long double  npy_float80
+    ctypedef long double  npy_float96
+    ctypedef long double  npy_float128
+
+    ctypedef struct npy_cfloat:
+        pass
+
+    ctypedef struct npy_cdouble:
+        pass
+
+    ctypedef struct npy_clongdouble:
+        pass
+
+    ctypedef struct npy_complex64:
+        pass
+
+    ctypedef struct npy_complex128:
+        pass
+
+    ctypedef struct npy_complex160:
+        pass
+
+    ctypedef struct npy_complex192:
+        pass
+
+    ctypedef struct npy_complex256:
+        pass
+
+    ctypedef struct PyArray_Dims:
+        npy_intp *ptr
+        int len
+
+
+    cdef enum NPY_TYPES:
+        NPY_BOOL
+        NPY_BYTE
+        NPY_UBYTE
+        NPY_SHORT
+        NPY_USHORT
+        NPY_INT
+        NPY_UINT
+        NPY_LONG
+        NPY_ULONG
+        NPY_LONGLONG
+        NPY_ULONGLONG
+        NPY_FLOAT
+        NPY_DOUBLE
+        NPY_LONGDOUBLE
+        NPY_CFLOAT
+        NPY_CDOUBLE
+        NPY_CLONGDOUBLE
+        NPY_OBJECT
+        NPY_STRING
+        NPY_UNICODE
+        NPY_VOID
+        NPY_DATETIME
+        NPY_TIMEDELTA
+        NPY_NTYPES_LEGACY
+        NPY_NOTYPE
+
+        NPY_INT8
+        NPY_INT16
+        NPY_INT32
+        NPY_INT64
+        NPY_INT128
+        NPY_INT256
+        NPY_UINT8
+        NPY_UINT16
+        NPY_UINT32
+        NPY_UINT64
+        NPY_UINT128
+        NPY_UINT256
+        NPY_FLOAT16
+        NPY_FLOAT32
+        NPY_FLOAT64
+        NPY_FLOAT80
+        NPY_FLOAT96
+        NPY_FLOAT128
+        NPY_FLOAT256
+        NPY_COMPLEX32
+        NPY_COMPLEX64
+        NPY_COMPLEX128
+        NPY_COMPLEX160
+        NPY_COMPLEX192
+        NPY_COMPLEX256
+        NPY_COMPLEX512
+
+        NPY_INTP
+        NPY_UINTP
+        NPY_DEFAULT_INT  # Not a compile time constant (normally)!
+
+    ctypedef enum NPY_ORDER:
+        NPY_ANYORDER
+        NPY_CORDER
+        NPY_FORTRANORDER
+        NPY_KEEPORDER
+
+    ctypedef enum NPY_CASTING:
+        NPY_NO_CASTING
+        NPY_EQUIV_CASTING
+        NPY_SAFE_CASTING
+        NPY_SAME_KIND_CASTING
+        NPY_UNSAFE_CASTING
+
+    ctypedef enum NPY_CLIPMODE:
+        NPY_CLIP
+        NPY_WRAP
+        NPY_RAISE
+
+    ctypedef enum NPY_SCALARKIND:
+        NPY_NOSCALAR,
+        NPY_BOOL_SCALAR,
+        NPY_INTPOS_SCALAR,
+        NPY_INTNEG_SCALAR,
+        NPY_FLOAT_SCALAR,
+        NPY_COMPLEX_SCALAR,
+        NPY_OBJECT_SCALAR
+
+    ctypedef enum NPY_SORTKIND:
+        NPY_QUICKSORT
+        NPY_HEAPSORT
+        NPY_MERGESORT
+
+    ctypedef enum NPY_SEARCHSIDE:
+        NPY_SEARCHLEFT
+        NPY_SEARCHRIGHT
+
+    enum:
+        # DEPRECATED since NumPy 1.7 ! Do not use in new code!
+        NPY_C_CONTIGUOUS
+        NPY_F_CONTIGUOUS
+        NPY_CONTIGUOUS
+        NPY_FORTRAN
+        NPY_OWNDATA
+        NPY_FORCECAST
+        NPY_ENSURECOPY
+        NPY_ENSUREARRAY
+        NPY_ELEMENTSTRIDES
+        NPY_ALIGNED
+        NPY_NOTSWAPPED
+        NPY_WRITEABLE
+        NPY_ARR_HAS_DESCR
+
+        NPY_BEHAVED
+        NPY_BEHAVED_NS
+        NPY_CARRAY
+        NPY_CARRAY_RO
+        NPY_FARRAY
+        NPY_FARRAY_RO
+        NPY_DEFAULT
+
+        NPY_IN_ARRAY
+        NPY_OUT_ARRAY
+        NPY_INOUT_ARRAY
+        NPY_IN_FARRAY
+        NPY_OUT_FARRAY
+        NPY_INOUT_FARRAY
+
+        NPY_UPDATE_ALL
+
+    enum:
+        # Added in NumPy 1.7 to replace the deprecated enums above.
+        NPY_ARRAY_C_CONTIGUOUS
+        NPY_ARRAY_F_CONTIGUOUS
+        NPY_ARRAY_OWNDATA
+        NPY_ARRAY_FORCECAST
+        NPY_ARRAY_ENSURECOPY
+        NPY_ARRAY_ENSUREARRAY
+        NPY_ARRAY_ELEMENTSTRIDES
+        NPY_ARRAY_ALIGNED
+        NPY_ARRAY_NOTSWAPPED
+        NPY_ARRAY_WRITEABLE
+        NPY_ARRAY_WRITEBACKIFCOPY
+
+        NPY_ARRAY_BEHAVED
+        NPY_ARRAY_BEHAVED_NS
+        NPY_ARRAY_CARRAY
+        NPY_ARRAY_CARRAY_RO
+        NPY_ARRAY_FARRAY
+        NPY_ARRAY_FARRAY_RO
+        NPY_ARRAY_DEFAULT
+
+        NPY_ARRAY_IN_ARRAY
+        NPY_ARRAY_OUT_ARRAY
+        NPY_ARRAY_INOUT_ARRAY
+        NPY_ARRAY_IN_FARRAY
+        NPY_ARRAY_OUT_FARRAY
+        NPY_ARRAY_INOUT_FARRAY
+
+        NPY_ARRAY_UPDATE_ALL
+
+    cdef enum:
+        NPY_MAXDIMS  # 64 on NumPy 2.x and 32 on NumPy 1.x
+        NPY_RAVEL_AXIS  # Used for functions like PyArray_Mean
+
+    ctypedef void (*PyArray_VectorUnaryFunc)(void *, void *, npy_intp, void *,  void *)
+
+    ctypedef struct PyArray_ArrayDescr:
+        # shape is a tuple, but Cython doesn't support "tuple shape"
+        # inside a non-PyObject declaration, so we have to declare it
+        # as just a PyObject*.
+        PyObject* shape
+
+    ctypedef struct PyArray_Descr:
+        pass
+
+    ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]:
+        # Use PyDataType_* macros when possible, however there are no macros
+        # for accessing some of the fields, so some are defined.
+        cdef PyTypeObject* typeobj
+        cdef char kind
+        cdef char type
+        # Numpy sometimes mutates this without warning (e.g. it'll
+        # sometimes change "|" to "<" in shared dtype objects on
+        # little-endian machines). If this matters to you, use
+        # PyArray_IsNativeByteOrder(dtype.byteorder) instead of
+        # directly accessing this field.
+        cdef char byteorder
+        cdef int type_num
+
+        @property
+        cdef inline npy_intp itemsize(self) noexcept nogil:
+            return PyDataType_ELSIZE(self)
+
+        @property
+        cdef inline npy_intp alignment(self) noexcept nogil:
+            return PyDataType_ALIGNMENT(self)
+
+        # Use fields/names with care as they may be NULL.  You must check
+        # for this using PyDataType_HASFIELDS.
+        @property
+        cdef inline object fields(self):
+            return <object>PyDataType_FIELDS(self)
+
+        @property
+        cdef inline tuple names(self):
+            return <tuple>PyDataType_NAMES(self)
+
+        # Use PyDataType_HASSUBARRAY to test whether this field is
+        # valid (the pointer can be NULL). Most users should access
+        # this field via the inline helper method PyDataType_SHAPE.
+        @property
+        cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil:
+            return PyDataType_SUBARRAY(self)
+
+        @property
+        cdef inline npy_uint64 flags(self) noexcept nogil:
+            """The data types flags."""
+            return PyDataType_FLAGS(self)
+
+
+    ctypedef class numpy.flatiter [object PyArrayIterObject, check_size ignore]:
+        # Use through macros
+        pass
+
+    ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]:
+
+        @property
+        cdef inline int numiter(self) noexcept nogil:
+            """The number of arrays that need to be broadcast to the same shape."""
+            return PyArray_MultiIter_NUMITER(self)
+
+        @property
+        cdef inline npy_intp size(self) noexcept nogil:
+            """The total broadcasted size."""
+            return PyArray_MultiIter_SIZE(self)
+
+        @property
+        cdef inline npy_intp index(self) noexcept nogil:
+            """The current (1-d) index into the broadcasted result."""
+            return PyArray_MultiIter_INDEX(self)
+
+        @property
+        cdef inline int nd(self) noexcept nogil:
+            """The number of dimensions in the broadcasted result."""
+            return PyArray_MultiIter_NDIM(self)
+
+        @property
+        cdef inline npy_intp* dimensions(self) noexcept nogil:
+            """The shape of the broadcasted result."""
+            return PyArray_MultiIter_DIMS(self)
+
+        @property
+        cdef inline void** iters(self) noexcept nogil:
+            """An array of iterator objects that holds the iterators for the arrays to be broadcast together.
+            On return, the iterators are adjusted for broadcasting."""
+            return PyArray_MultiIter_ITERS(self)
+
+
+    ctypedef struct PyArrayObject:
+        # For use in situations where ndarray can't replace PyArrayObject*,
+        # like PyArrayObject**.
+        pass
+
+    ctypedef class numpy.ndarray [object PyArrayObject, check_size ignore]:
+        cdef __cythonbufferdefaults__ = {"mode": "strided"}
+
+        # NOTE: no field declarations since direct access is deprecated since NumPy 1.7
+        # Instead, we use properties that map to the corresponding C-API functions.
+
+        @property
+        cdef inline PyObject* base(self) noexcept nogil:
+            """Returns a borrowed reference to the object owning the data/memory.
+            """
+            return PyArray_BASE(self)
+
+        @property
+        cdef inline dtype descr(self):
+            """Returns an owned reference to the dtype of the array.
+            """
+            return <dtype>PyArray_DESCR(self)
+
+        @property
+        cdef inline int ndim(self) noexcept nogil:
+            """Returns the number of dimensions in the array.
+            """
+            return PyArray_NDIM(self)
+
+        @property
+        cdef inline npy_intp *shape(self) noexcept nogil:
+            """Returns a pointer to the dimensions/shape of the array.
+            The number of elements matches the number of dimensions of the array (ndim).
+            Can return NULL for 0-dimensional arrays.
+            """
+            return PyArray_DIMS(self)
+
+        @property
+        cdef inline npy_intp *strides(self) noexcept nogil:
+            """Returns a pointer to the strides of the array.
+            The number of elements matches the number of dimensions of the array (ndim).
+            """
+            return PyArray_STRIDES(self)
+
+        @property
+        cdef inline npy_intp size(self) noexcept nogil:
+            """Returns the total size (in number of elements) of the array.
+            """
+            return PyArray_SIZE(self)
+
+        @property
+        cdef inline char* data(self) noexcept nogil:
+            """The pointer to the data buffer as a char*.
+            This is provided for legacy reasons to avoid direct struct field access.
+            For new code that needs this access, you probably want to cast the result
+            of `PyArray_DATA()` instead, which returns a 'void*'.
+            """
+            return PyArray_BYTES(self)
+
+
+    int _import_array() except -1
+    # A second definition so _import_array isn't marked as used when we use it here.
+    # Do not use - subject to change any time.
+    int __pyx_import_array "_import_array"() except -1
+
+    #
+    # Macros from ndarrayobject.h
+    #
+    bint PyArray_CHKFLAGS(ndarray m, int flags) nogil
+    bint PyArray_IS_C_CONTIGUOUS(ndarray arr) nogil
+    bint PyArray_IS_F_CONTIGUOUS(ndarray arr) nogil
+    bint PyArray_ISCONTIGUOUS(ndarray m) nogil
+    bint PyArray_ISWRITEABLE(ndarray m) nogil
+    bint PyArray_ISALIGNED(ndarray m) nogil
+
+    int PyArray_NDIM(ndarray) nogil
+    bint PyArray_ISONESEGMENT(ndarray) nogil
+    bint PyArray_ISFORTRAN(ndarray) nogil
+    int PyArray_FORTRANIF(ndarray) nogil
+
+    void* PyArray_DATA(ndarray) nogil
+    char* PyArray_BYTES(ndarray) nogil
+
+    npy_intp* PyArray_DIMS(ndarray) nogil
+    npy_intp* PyArray_STRIDES(ndarray) nogil
+    npy_intp PyArray_DIM(ndarray, size_t) nogil
+    npy_intp PyArray_STRIDE(ndarray, size_t) nogil
+
+    PyObject *PyArray_BASE(ndarray) nogil  # returns borrowed reference!
+    PyArray_Descr *PyArray_DESCR(ndarray) nogil  # returns borrowed reference to dtype!
+    PyArray_Descr *PyArray_DTYPE(ndarray) nogil  # returns borrowed reference to dtype! NP 1.7+ alias for descr.
+    int PyArray_FLAGS(ndarray) nogil
+    void PyArray_CLEARFLAGS(ndarray, int flags) nogil  # Added in NumPy 1.7
+    void PyArray_ENABLEFLAGS(ndarray, int flags) nogil  # Added in NumPy 1.7
+    npy_intp PyArray_ITEMSIZE(ndarray) nogil
+    int PyArray_TYPE(ndarray arr) nogil
+
+    object PyArray_GETITEM(ndarray arr, void *itemptr)
+    int PyArray_SETITEM(ndarray arr, void *itemptr, object obj) except -1
+
+    bint PyTypeNum_ISBOOL(int) nogil
+    bint PyTypeNum_ISUNSIGNED(int) nogil
+    bint PyTypeNum_ISSIGNED(int) nogil
+    bint PyTypeNum_ISINTEGER(int) nogil
+    bint PyTypeNum_ISFLOAT(int) nogil
+    bint PyTypeNum_ISNUMBER(int) nogil
+    bint PyTypeNum_ISSTRING(int) nogil
+    bint PyTypeNum_ISCOMPLEX(int) nogil
+    bint PyTypeNum_ISFLEXIBLE(int) nogil
+    bint PyTypeNum_ISUSERDEF(int) nogil
+    bint PyTypeNum_ISEXTENDED(int) nogil
+    bint PyTypeNum_ISOBJECT(int) nogil
+
+    npy_intp PyDataType_ELSIZE(dtype) nogil
+    npy_intp PyDataType_ALIGNMENT(dtype) nogil
+    PyObject* PyDataType_METADATA(dtype) nogil
+    PyArray_ArrayDescr* PyDataType_SUBARRAY(dtype) nogil
+    PyObject* PyDataType_NAMES(dtype) nogil
+    PyObject* PyDataType_FIELDS(dtype) nogil
+
+    bint PyDataType_ISBOOL(dtype) nogil
+    bint PyDataType_ISUNSIGNED(dtype) nogil
+    bint PyDataType_ISSIGNED(dtype) nogil
+    bint PyDataType_ISINTEGER(dtype) nogil
+    bint PyDataType_ISFLOAT(dtype) nogil
+    bint PyDataType_ISNUMBER(dtype) nogil
+    bint PyDataType_ISSTRING(dtype) nogil
+    bint PyDataType_ISCOMPLEX(dtype) nogil
+    bint PyDataType_ISFLEXIBLE(dtype) nogil
+    bint PyDataType_ISUSERDEF(dtype) nogil
+    bint PyDataType_ISEXTENDED(dtype) nogil
+    bint PyDataType_ISOBJECT(dtype) nogil
+    bint PyDataType_HASFIELDS(dtype) nogil
+    bint PyDataType_HASSUBARRAY(dtype) nogil
+    npy_uint64 PyDataType_FLAGS(dtype) nogil
+
+    bint PyArray_ISBOOL(ndarray) nogil
+    bint PyArray_ISUNSIGNED(ndarray) nogil
+    bint PyArray_ISSIGNED(ndarray) nogil
+    bint PyArray_ISINTEGER(ndarray) nogil
+    bint PyArray_ISFLOAT(ndarray) nogil
+    bint PyArray_ISNUMBER(ndarray) nogil
+    bint PyArray_ISSTRING(ndarray) nogil
+    bint PyArray_ISCOMPLEX(ndarray) nogil
+    bint PyArray_ISFLEXIBLE(ndarray) nogil
+    bint PyArray_ISUSERDEF(ndarray) nogil
+    bint PyArray_ISEXTENDED(ndarray) nogil
+    bint PyArray_ISOBJECT(ndarray) nogil
+    bint PyArray_HASFIELDS(ndarray) nogil
+
+    bint PyArray_ISVARIABLE(ndarray) nogil
+
+    bint PyArray_SAFEALIGNEDCOPY(ndarray) nogil
+    bint PyArray_ISNBO(char) nogil              # works on ndarray.byteorder
+    bint PyArray_IsNativeByteOrder(char) nogil # works on ndarray.byteorder
+    bint PyArray_ISNOTSWAPPED(ndarray) nogil
+    bint PyArray_ISBYTESWAPPED(ndarray) nogil
+
+    bint PyArray_FLAGSWAP(ndarray, int) nogil
+
+    bint PyArray_ISCARRAY(ndarray) nogil
+    bint PyArray_ISCARRAY_RO(ndarray) nogil
+    bint PyArray_ISFARRAY(ndarray) nogil
+    bint PyArray_ISFARRAY_RO(ndarray) nogil
+    bint PyArray_ISBEHAVED(ndarray) nogil
+    bint PyArray_ISBEHAVED_RO(ndarray) nogil
+
+
+    bint PyDataType_ISNOTSWAPPED(dtype) nogil
+    bint PyDataType_ISBYTESWAPPED(dtype) nogil
+
+    bint PyArray_DescrCheck(object)
+
+    bint PyArray_Check(object)
+    bint PyArray_CheckExact(object)
+
+    # Cannot be supported due to out arg:
+    # bint PyArray_HasArrayInterfaceType(object, dtype, object, object&)
+    # bint PyArray_HasArrayInterface(op, out)
+
+
+    bint PyArray_IsZeroDim(object)
+    # Cannot be supported due to ## ## in macro:
+    # bint PyArray_IsScalar(object, verbatim work)
+    bint PyArray_CheckScalar(object)
+    bint PyArray_IsPythonNumber(object)
+    bint PyArray_IsPythonScalar(object)
+    bint PyArray_IsAnyScalar(object)
+    bint PyArray_CheckAnyScalar(object)
+
+    ndarray PyArray_GETCONTIGUOUS(ndarray)
+    bint PyArray_SAMESHAPE(ndarray, ndarray) nogil
+    npy_intp PyArray_SIZE(ndarray) nogil
+    npy_intp PyArray_NBYTES(ndarray) nogil
+
+    object PyArray_FROM_O(object)
+    object PyArray_FROM_OF(object m, int flags)
+    object PyArray_FROM_OT(object m, int type)
+    object PyArray_FROM_OTF(object m, int type, int flags)
+    object PyArray_FROMANY(object m, int type, int min, int max, int flags)
+    object PyArray_ZEROS(int nd, npy_intp* dims, int type, int fortran)
+    object PyArray_EMPTY(int nd, npy_intp* dims, int type, int fortran)
+    void PyArray_FILLWBYTE(ndarray, int val)
+    object PyArray_ContiguousFromAny(op, int, int min_depth, int max_depth)
+    unsigned char PyArray_EquivArrTypes(ndarray a1, ndarray a2)
+    bint PyArray_EquivByteorders(int b1, int b2) nogil
+    object PyArray_SimpleNew(int nd, npy_intp* dims, int typenum)
+    object PyArray_SimpleNewFromData(int nd, npy_intp* dims, int typenum, void* data)
+    #object PyArray_SimpleNewFromDescr(int nd, npy_intp* dims, dtype descr)
+    object PyArray_ToScalar(void* data, ndarray arr)
+
+    void* PyArray_GETPTR1(ndarray m, npy_intp i) nogil
+    void* PyArray_GETPTR2(ndarray m, npy_intp i, npy_intp j) nogil
+    void* PyArray_GETPTR3(ndarray m, npy_intp i, npy_intp j, npy_intp k) nogil
+    void* PyArray_GETPTR4(ndarray m, npy_intp i, npy_intp j, npy_intp k, npy_intp l) nogil
+
+    # Cannot be supported due to out arg
+    # void PyArray_DESCR_REPLACE(descr)
+
+
+    object PyArray_Copy(ndarray)
+    object PyArray_FromObject(object op, int type, int min_depth, int max_depth)
+    object PyArray_ContiguousFromObject(object op, int type, int min_depth, int max_depth)
+    object PyArray_CopyFromObject(object op, int type, int min_depth, int max_depth)
+
+    object PyArray_Cast(ndarray mp, int type_num)
+    object PyArray_Take(ndarray ap, object items, int axis)
+    object PyArray_Put(ndarray ap, object items, object values)
+
+    void PyArray_ITER_RESET(flatiter it) nogil
+    void PyArray_ITER_NEXT(flatiter it) nogil
+    void PyArray_ITER_GOTO(flatiter it, npy_intp* destination) nogil
+    void PyArray_ITER_GOTO1D(flatiter it, npy_intp ind) nogil
+    void* PyArray_ITER_DATA(flatiter it) nogil
+    bint PyArray_ITER_NOTDONE(flatiter it) nogil
+
+    void PyArray_MultiIter_RESET(broadcast multi) nogil
+    void PyArray_MultiIter_NEXT(broadcast multi) nogil
+    void PyArray_MultiIter_GOTO(broadcast multi, npy_intp dest) nogil
+    void PyArray_MultiIter_GOTO1D(broadcast multi, npy_intp ind) nogil
+    void* PyArray_MultiIter_DATA(broadcast multi, npy_intp i) nogil
+    void PyArray_MultiIter_NEXTi(broadcast multi, npy_intp i) nogil
+    bint PyArray_MultiIter_NOTDONE(broadcast multi) nogil
+    npy_intp PyArray_MultiIter_SIZE(broadcast multi) nogil
+    int PyArray_MultiIter_NDIM(broadcast multi) nogil
+    npy_intp PyArray_MultiIter_INDEX(broadcast multi) nogil
+    int PyArray_MultiIter_NUMITER(broadcast multi) nogil
+    npy_intp* PyArray_MultiIter_DIMS(broadcast multi) nogil
+    void** PyArray_MultiIter_ITERS(broadcast multi) nogil
+
+    # Functions from __multiarray_api.h
+
+    # Functions taking dtype and returning object/ndarray are disabled
+    # for now as they steal dtype references. I'm conservative and disable
+    # more than is probably needed until it can be checked further.
+    int PyArray_INCREF (ndarray) except *  # uses PyArray_Item_INCREF...
+    int PyArray_XDECREF (ndarray) except *  # uses PyArray_Item_DECREF...
+    dtype PyArray_DescrFromType (int)
+    object PyArray_TypeObjectFromType (int)
+    char * PyArray_Zero (ndarray)
+    char * PyArray_One (ndarray)
+    #object PyArray_CastToType (ndarray, dtype, int)
+    int PyArray_CanCastSafely (int, int)  # writes errors
+    npy_bool PyArray_CanCastTo (dtype, dtype)  # writes errors
+    int PyArray_ObjectType (object, int) except 0
+    dtype PyArray_DescrFromObject (object, dtype)
+    #ndarray* PyArray_ConvertToCommonType (object, int *)
+    dtype PyArray_DescrFromScalar (object)
+    dtype PyArray_DescrFromTypeObject (object)
+    npy_intp PyArray_Size (object)
+    #object PyArray_Scalar (void *, dtype, object)
+    #object PyArray_FromScalar (object, dtype)
+    void PyArray_ScalarAsCtype (object, void *)
+    #int PyArray_CastScalarToCtype (object, void *, dtype)
+    #int PyArray_CastScalarDirect (object, dtype, void *, int)
+    #PyArray_VectorUnaryFunc * PyArray_GetCastFunc (dtype, int)
+    #object PyArray_FromAny (object, dtype, int, int, int, object)
+    object PyArray_EnsureArray (object)
+    object PyArray_EnsureAnyArray (object)
+    #object PyArray_FromFile (stdio.FILE *, dtype, npy_intp, char *)
+    #object PyArray_FromString (char *, npy_intp, dtype, npy_intp, char *)
+    #object PyArray_FromBuffer (object, dtype, npy_intp, npy_intp)
+    #object PyArray_FromIter (object, dtype, npy_intp)
+    object PyArray_Return (ndarray)
+    #object PyArray_GetField (ndarray, dtype, int)
+    #int PyArray_SetField (ndarray, dtype, int, object) except -1
+    object PyArray_Byteswap (ndarray, npy_bool)
+    object PyArray_Resize (ndarray, PyArray_Dims *, int, NPY_ORDER)
+    int PyArray_CopyInto (ndarray, ndarray) except -1
+    int PyArray_CopyAnyInto (ndarray, ndarray) except -1
+    int PyArray_CopyObject (ndarray, object) except -1
+    object PyArray_NewCopy (ndarray, NPY_ORDER)
+    object PyArray_ToList (ndarray)
+    object PyArray_ToString (ndarray, NPY_ORDER)
+    int PyArray_ToFile (ndarray, stdio.FILE *, char *, char *) except -1
+    int PyArray_Dump (object, object, int) except -1
+    object PyArray_Dumps (object, int)
+    int PyArray_ValidType (int)  # Cannot error
+    void PyArray_UpdateFlags (ndarray, int)
+    object PyArray_New (type, int, npy_intp *, int, npy_intp *, void *, int, int, object)
+    #object PyArray_NewFromDescr (type, dtype, int, npy_intp *, npy_intp *, void *, int, object)
+    #dtype PyArray_DescrNew (dtype)
+    dtype PyArray_DescrNewFromType (int)
+    double PyArray_GetPriority (object, double)  # clears errors as of 1.25
+    object PyArray_IterNew (object)
+    object PyArray_MultiIterNew (int, ...)
+
+    int PyArray_PyIntAsInt (object) except? -1
+    npy_intp PyArray_PyIntAsIntp (object)
+    int PyArray_Broadcast (broadcast) except -1
+    int PyArray_FillWithScalar (ndarray, object) except -1
+    npy_bool PyArray_CheckStrides (int, int, npy_intp, npy_intp, npy_intp *, npy_intp *)
+    dtype PyArray_DescrNewByteorder (dtype, char)
+    object PyArray_IterAllButAxis (object, int *)
+    #object PyArray_CheckFromAny (object, dtype, int, int, int, object)
+    #object PyArray_FromArray (ndarray, dtype, int)
+    object PyArray_FromInterface (object)
+    object PyArray_FromStructInterface (object)
+    #object PyArray_FromArrayAttr (object, dtype, object)
+    #NPY_SCALARKIND PyArray_ScalarKind (int, ndarray*)
+    int PyArray_CanCoerceScalar (int, int, NPY_SCALARKIND)
+    npy_bool PyArray_CanCastScalar (type, type)
+    int PyArray_RemoveSmallest (broadcast) except -1
+    int PyArray_ElementStrides (object)
+    void PyArray_Item_INCREF (char *, dtype) except *
+    void PyArray_Item_XDECREF (char *, dtype) except *
+    object PyArray_Transpose (ndarray, PyArray_Dims *)
+    object PyArray_TakeFrom (ndarray, object, int, ndarray, NPY_CLIPMODE)
+    object PyArray_PutTo (ndarray, object, object, NPY_CLIPMODE)
+    object PyArray_PutMask (ndarray, object, object)
+    object PyArray_Repeat (ndarray, object, int)
+    object PyArray_Choose (ndarray, object, ndarray, NPY_CLIPMODE)
+    int PyArray_Sort (ndarray, int, NPY_SORTKIND) except -1
+    object PyArray_ArgSort (ndarray, int, NPY_SORTKIND)
+    object PyArray_SearchSorted (ndarray, object, NPY_SEARCHSIDE, PyObject *)
+    object PyArray_ArgMax (ndarray, int, ndarray)
+    object PyArray_ArgMin (ndarray, int, ndarray)
+    object PyArray_Reshape (ndarray, object)
+    object PyArray_Newshape (ndarray, PyArray_Dims *, NPY_ORDER)
+    object PyArray_Squeeze (ndarray)
+    #object PyArray_View (ndarray, dtype, type)
+    object PyArray_SwapAxes (ndarray, int, int)
+    object PyArray_Max (ndarray, int, ndarray)
+    object PyArray_Min (ndarray, int, ndarray)
+    object PyArray_Ptp (ndarray, int, ndarray)
+    object PyArray_Mean (ndarray, int, int, ndarray)
+    object PyArray_Trace (ndarray, int, int, int, int, ndarray)
+    object PyArray_Diagonal (ndarray, int, int, int)
+    object PyArray_Clip (ndarray, object, object, ndarray)
+    object PyArray_Conjugate (ndarray, ndarray)
+    object PyArray_Nonzero (ndarray)
+    object PyArray_Std (ndarray, int, int, ndarray, int)
+    object PyArray_Sum (ndarray, int, int, ndarray)
+    object PyArray_CumSum (ndarray, int, int, ndarray)
+    object PyArray_Prod (ndarray, int, int, ndarray)
+    object PyArray_CumProd (ndarray, int, int, ndarray)
+    object PyArray_All (ndarray, int, ndarray)
+    object PyArray_Any (ndarray, int, ndarray)
+    object PyArray_Compress (ndarray, object, int, ndarray)
+    object PyArray_Flatten (ndarray, NPY_ORDER)
+    object PyArray_Ravel (ndarray, NPY_ORDER)
+    npy_intp PyArray_MultiplyList (npy_intp *, int)
+    int PyArray_MultiplyIntList (int *, int)
+    void * PyArray_GetPtr (ndarray, npy_intp*)
+    int PyArray_CompareLists (npy_intp *, npy_intp *, int)
+    #int PyArray_AsCArray (object*, void *, npy_intp *, int, dtype)
+    int PyArray_Free (object, void *)
+    #int PyArray_Converter (object, object*)
+    int PyArray_IntpFromSequence (object, npy_intp *, int) except -1
+    object PyArray_Concatenate (object, int)
+    object PyArray_InnerProduct (object, object)
+    object PyArray_MatrixProduct (object, object)
+    object PyArray_Correlate (object, object, int)
+    #int PyArray_DescrConverter (object, dtype*) except 0
+    #int PyArray_DescrConverter2 (object, dtype*) except 0
+    int PyArray_IntpConverter (object, PyArray_Dims *) except 0
+    #int PyArray_BufferConverter (object, chunk) except 0
+    int PyArray_AxisConverter (object, int *) except 0
+    int PyArray_BoolConverter (object, npy_bool *) except 0
+    int PyArray_ByteorderConverter (object, char *) except 0
+    int PyArray_OrderConverter (object, NPY_ORDER *) except 0
+    unsigned char PyArray_EquivTypes (dtype, dtype)  # clears errors
+    #object PyArray_Zeros (int, npy_intp *, dtype, int)
+    #object PyArray_Empty (int, npy_intp *, dtype, int)
+    object PyArray_Where (object, object, object)
+    object PyArray_Arange (double, double, double, int)
+    #object PyArray_ArangeObj (object, object, object, dtype)
+    int PyArray_SortkindConverter (object, NPY_SORTKIND *) except 0
+    object PyArray_LexSort (object, int)
+    object PyArray_Round (ndarray, int, ndarray)
+    unsigned char PyArray_EquivTypenums (int, int)
+    int PyArray_RegisterDataType (dtype) except -1
+    int PyArray_RegisterCastFunc (dtype, int, PyArray_VectorUnaryFunc *) except -1
+    int PyArray_RegisterCanCast (dtype, int, NPY_SCALARKIND) except -1
+    #void PyArray_InitArrFuncs (PyArray_ArrFuncs *)
+    object PyArray_IntTupleFromIntp (int, npy_intp *)
+    int PyArray_ClipmodeConverter (object, NPY_CLIPMODE *) except 0
+    #int PyArray_OutputConverter (object, ndarray*) except 0
+    object PyArray_BroadcastToShape (object, npy_intp *, int)
+    #int PyArray_DescrAlignConverter (object, dtype*) except 0
+    #int PyArray_DescrAlignConverter2 (object, dtype*) except 0
+    int PyArray_SearchsideConverter (object, void *) except 0
+    object PyArray_CheckAxis (ndarray, int *, int)
+    npy_intp PyArray_OverflowMultiplyList (npy_intp *, int)
+    int PyArray_SetBaseObject(ndarray, base) except -1 # NOTE: steals a reference to base! Use "set_array_base()" instead.
+
+    # The memory handler functions require the NumPy 1.22 API
+    # and may require defining NPY_TARGET_VERSION
+    ctypedef struct PyDataMemAllocator:
+        void *ctx
+        void* (*malloc) (void *ctx, size_t size)
+        void* (*calloc) (void *ctx, size_t nelem, size_t elsize)
+        void* (*realloc) (void *ctx, void *ptr, size_t new_size)
+        void (*free) (void *ctx, void *ptr, size_t size)
+
+    ctypedef struct PyDataMem_Handler:
+        char* name
+        npy_uint8 version
+        PyDataMemAllocator allocator
+
+    object PyDataMem_SetHandler(object handler)
+    object PyDataMem_GetHandler()
+
+    # additional datetime related functions are defined below
+
+
+# Typedefs that matches the runtime dtype objects in
+# the numpy module.
+
+# The ones that are commented out needs an IFDEF function
+# in Cython to enable them only on the right systems.
+
+ctypedef npy_int8       int8_t
+ctypedef npy_int16      int16_t
+ctypedef npy_int32      int32_t
+ctypedef npy_int64      int64_t
+#ctypedef npy_int96      int96_t
+#ctypedef npy_int128     int128_t
+
+ctypedef npy_uint8      uint8_t
+ctypedef npy_uint16     uint16_t
+ctypedef npy_uint32     uint32_t
+ctypedef npy_uint64     uint64_t
+#ctypedef npy_uint96     uint96_t
+#ctypedef npy_uint128    uint128_t
+
+ctypedef npy_float32    float32_t
+ctypedef npy_float64    float64_t
+#ctypedef npy_float80    float80_t
+#ctypedef npy_float128   float128_t
+
+ctypedef float complex  complex64_t
+ctypedef double complex complex128_t
+
+ctypedef npy_longlong   longlong_t
+ctypedef npy_ulonglong  ulonglong_t
+
+ctypedef npy_intp       intp_t
+ctypedef npy_uintp      uintp_t
+
+ctypedef npy_double     float_t
+ctypedef npy_double     double_t
+ctypedef npy_longdouble longdouble_t
+
+ctypedef float complex       cfloat_t
+ctypedef double complex      cdouble_t
+ctypedef double complex      complex_t
+ctypedef long double complex clongdouble_t
+
+cdef inline object PyArray_MultiIterNew1(a):
+    return PyArray_MultiIterNew(1, <void*>a)
+
+cdef inline object PyArray_MultiIterNew2(a, b):
+    return PyArray_MultiIterNew(2, <void*>a, <void*>b)
+
+cdef inline object PyArray_MultiIterNew3(a, b, c):
+    return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
+
+cdef inline object PyArray_MultiIterNew4(a, b, c, d):
+    return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
+
+cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):
+    return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
+
+cdef inline tuple PyDataType_SHAPE(dtype d):
+    if PyDataType_HASSUBARRAY(d):
+        return <tuple>d.subarray.shape
+    else:
+        return ()
+
+
+cdef extern from "numpy/ndarrayobject.h":
+    PyTypeObject PyTimedeltaArrType_Type
+    PyTypeObject PyDatetimeArrType_Type
+    ctypedef int64_t npy_timedelta
+    ctypedef int64_t npy_datetime
+
+cdef extern from "numpy/ndarraytypes.h":
+    ctypedef struct PyArray_DatetimeMetaData:
+        NPY_DATETIMEUNIT base
+        int64_t num
+
+    ctypedef struct npy_datetimestruct:
+        int64_t year
+        int32_t month, day, hour, min, sec, us, ps, as
+
+    # Iterator API added in v1.6
+    #
+    # These don't match the definition in the C API because Cython can't wrap
+    # function pointers that return functions.
+    # https://github.com/cython/cython/issues/6720
+    ctypedef int (*NpyIter_IterNextFunc "NpyIter_IterNextFunc *")(NpyIter* it) noexcept nogil
+    ctypedef void (*NpyIter_GetMultiIndexFunc "NpyIter_GetMultiIndexFunc *")(NpyIter* it, npy_intp* outcoords) noexcept nogil
+
+
+cdef extern from "numpy/arrayscalars.h":
+
+    # abstract types
+    ctypedef class numpy.generic [object PyObject]:
+        pass
+    ctypedef class numpy.number [object PyObject]:
+        pass
+    ctypedef class numpy.integer [object PyObject]:
+        pass
+    ctypedef class numpy.signedinteger [object PyObject]:
+        pass
+    ctypedef class numpy.unsignedinteger [object PyObject]:
+        pass
+    ctypedef class numpy.inexact [object PyObject]:
+        pass
+    ctypedef class numpy.floating [object PyObject]:
+        pass
+    ctypedef class numpy.complexfloating [object PyObject]:
+        pass
+    ctypedef class numpy.flexible [object PyObject]:
+        pass
+    ctypedef class numpy.character [object PyObject]:
+        pass
+
+    ctypedef struct PyDatetimeScalarObject:
+        # PyObject_HEAD
+        npy_datetime obval
+        PyArray_DatetimeMetaData obmeta
+
+    ctypedef struct PyTimedeltaScalarObject:
+        # PyObject_HEAD
+        npy_timedelta obval
+        PyArray_DatetimeMetaData obmeta
+
+    ctypedef enum NPY_DATETIMEUNIT:
+        NPY_FR_Y
+        NPY_FR_M
+        NPY_FR_W
+        NPY_FR_D
+        NPY_FR_B
+        NPY_FR_h
+        NPY_FR_m
+        NPY_FR_s
+        NPY_FR_ms
+        NPY_FR_us
+        NPY_FR_ns
+        NPY_FR_ps
+        NPY_FR_fs
+        NPY_FR_as
+        NPY_FR_GENERIC
+
+
+cdef extern from "numpy/arrayobject.h":
+    # These are part of the C-API defined in `__multiarray_api.h`
+
+    # NumPy internal definitions in datetime_strings.c:
+    int get_datetime_iso_8601_strlen "NpyDatetime_GetDatetimeISO8601StrLen" (
+            int local, NPY_DATETIMEUNIT base)
+    int make_iso_8601_datetime "NpyDatetime_MakeISO8601Datetime" (
+            npy_datetimestruct *dts, char *outstr, npy_intp outlen,
+            int local, int utc, NPY_DATETIMEUNIT base, int tzoffset,
+            NPY_CASTING casting) except -1
+
+    # NumPy internal definition in datetime.c:
+    # May return 1 to indicate that object does not appear to be a datetime
+    # (returns 0 on success).
+    int convert_pydatetime_to_datetimestruct "NpyDatetime_ConvertPyDateTimeToDatetimeStruct" (
+            PyObject *obj, npy_datetimestruct *out,
+            NPY_DATETIMEUNIT *out_bestunit, int apply_tzinfo) except -1
+    int convert_datetime64_to_datetimestruct "NpyDatetime_ConvertDatetime64ToDatetimeStruct" (
+            PyArray_DatetimeMetaData *meta, npy_datetime dt,
+            npy_datetimestruct *out) except -1
+    int convert_datetimestruct_to_datetime64 "NpyDatetime_ConvertDatetimeStructToDatetime64"(
+            PyArray_DatetimeMetaData *meta, const npy_datetimestruct *dts,
+            npy_datetime *out) except -1
+
+
+#
+# ufunc API
+#
+
+cdef extern from "numpy/ufuncobject.h":
+
+    ctypedef void (*PyUFuncGenericFunction) (char **, npy_intp *, npy_intp *, void *)
+
+    ctypedef class numpy.ufunc [object PyUFuncObject, check_size ignore]:
+        cdef:
+            int nin, nout, nargs
+            int identity
+            PyUFuncGenericFunction *functions
+            void **data
+            int ntypes
+            int check_return
+            char *name
+            char *types
+            char *doc
+            void *ptr
+            PyObject *obj
+            PyObject *userloops
+
+    cdef enum:
+        PyUFunc_Zero
+        PyUFunc_One
+        PyUFunc_None
+        UFUNC_FPE_DIVIDEBYZERO
+        UFUNC_FPE_OVERFLOW
+        UFUNC_FPE_UNDERFLOW
+        UFUNC_FPE_INVALID
+
+    object PyUFunc_FromFuncAndData(PyUFuncGenericFunction *,
+          void **, char *, int, int, int, int, char *, char *, int)
+    int PyUFunc_RegisterLoopForType(ufunc, int,
+                                    PyUFuncGenericFunction, int *, void *) except -1
+    void PyUFunc_f_f_As_d_d \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_d_d \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_f_f \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_g_g \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_F_F_As_D_D \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_F_F \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_D_D \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_G_G \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_O_O \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_ff_f_As_dd_d \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_ff_f \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_dd_d \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_gg_g \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_FF_F_As_DD_D \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_DD_D \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_FF_F \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_GG_G \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_OO_O \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_O_O_method \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_OO_O_method \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_On_Om \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_clearfperr()
+    int PyUFunc_getfperr()
+    int PyUFunc_ReplaceLoopBySignature \
+        (ufunc, PyUFuncGenericFunction, int *, PyUFuncGenericFunction *)
+    object PyUFunc_FromFuncAndDataAndSignature \
+             (PyUFuncGenericFunction *, void **, char *, int, int, int,
+              int, char *, char *, int, char *)
+
+    int _import_umath() except -1
+
+cdef inline void set_array_base(ndarray arr, object base) except *:
+    Py_INCREF(base) # important to do this before stealing the reference below!
+    PyArray_SetBaseObject(arr, base)
+
+cdef inline object get_array_base(ndarray arr):
+    base = PyArray_BASE(arr)
+    if base is NULL:
+        return None
+    return <object>base
+
+# Versions of the import_* functions which are more suitable for
+# Cython code.
+cdef inline int import_array() except -1:
+    try:
+        __pyx_import_array()
+    except Exception:
+        raise ImportError("numpy._core.multiarray failed to import")
+
+cdef inline int import_umath() except -1:
+    try:
+        _import_umath()
+    except Exception:
+        raise ImportError("numpy._core.umath failed to import")
+
+cdef inline int import_ufunc() except -1:
+    try:
+        _import_umath()
+    except Exception:
+        raise ImportError("numpy._core.umath failed to import")
+
+
+cdef inline bint is_timedelta64_object(object obj) noexcept:
+    """
+    Cython equivalent of `isinstance(obj, np.timedelta64)`
+
+    Parameters
+    ----------
+    obj : object
+
+    Returns
+    -------
+    bool
+    """
+    return PyObject_TypeCheck(obj, &PyTimedeltaArrType_Type)
+
+
+cdef inline bint is_datetime64_object(object obj) noexcept:
+    """
+    Cython equivalent of `isinstance(obj, np.datetime64)`
+
+    Parameters
+    ----------
+    obj : object
+
+    Returns
+    -------
+    bool
+    """
+    return PyObject_TypeCheck(obj, &PyDatetimeArrType_Type)
+
+
+cdef inline npy_datetime get_datetime64_value(object obj) noexcept nogil:
+    """
+    returns the int64 value underlying scalar numpy datetime64 object
+
+    Note that to interpret this as a datetime, the corresponding unit is
+    also needed.  That can be found using `get_datetime64_unit`.
+    """
+    return (<PyDatetimeScalarObject*>obj).obval
+
+
+cdef inline npy_timedelta get_timedelta64_value(object obj) noexcept nogil:
+    """
+    returns the int64 value underlying scalar numpy timedelta64 object
+    """
+    return (<PyTimedeltaScalarObject*>obj).obval
+
+
+cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) noexcept nogil:
+    """
+    returns the unit part of the dtype for a numpy datetime64 object.
+    """
+    return <NPY_DATETIMEUNIT>(<PyDatetimeScalarObject*>obj).obmeta.base
+
+
+cdef extern from "numpy/arrayobject.h":
+
+    ctypedef struct NpyIter:
+        pass
+
+    cdef enum:
+        NPY_FAIL
+        NPY_SUCCEED
+
+    cdef enum:
+        # Track an index representing C order
+        NPY_ITER_C_INDEX
+        # Track an index representing Fortran order
+        NPY_ITER_F_INDEX
+        # Track a multi-index
+        NPY_ITER_MULTI_INDEX
+        # User code external to the iterator does the 1-dimensional innermost loop
+        NPY_ITER_EXTERNAL_LOOP
+        # Convert all the operands to a common data type
+        NPY_ITER_COMMON_DTYPE
+        # Operands may hold references, requiring API access during iteration
+        NPY_ITER_REFS_OK
+        # Zero-sized operands should be permitted, iteration checks IterSize for 0
+        NPY_ITER_ZEROSIZE_OK
+        # Permits reductions (size-0 stride with dimension size > 1)
+        NPY_ITER_REDUCE_OK
+        # Enables sub-range iteration
+        NPY_ITER_RANGED
+        # Enables buffering
+        NPY_ITER_BUFFERED
+        # When buffering is enabled, grows the inner loop if possible
+        NPY_ITER_GROWINNER
+        # Delay allocation of buffers until first Reset* call
+        NPY_ITER_DELAY_BUFALLOC
+        # When NPY_KEEPORDER is specified, disable reversing negative-stride axes
+        NPY_ITER_DONT_NEGATE_STRIDES
+        NPY_ITER_COPY_IF_OVERLAP
+        # The operand will be read from and written to
+        NPY_ITER_READWRITE
+        # The operand will only be read from
+        NPY_ITER_READONLY
+        # The operand will only be written to
+        NPY_ITER_WRITEONLY
+        # The operand's data must be in native byte order
+        NPY_ITER_NBO
+        # The operand's data must be aligned
+        NPY_ITER_ALIGNED
+        # The operand's data must be contiguous (within the inner loop)
+        NPY_ITER_CONTIG
+        # The operand may be copied to satisfy requirements
+        NPY_ITER_COPY
+        # The operand may be copied with WRITEBACKIFCOPY to satisfy requirements
+        NPY_ITER_UPDATEIFCOPY
+        # Allocate the operand if it is NULL
+        NPY_ITER_ALLOCATE
+        # If an operand is allocated, don't use any subtype
+        NPY_ITER_NO_SUBTYPE
+        # This is a virtual array slot, operand is NULL but temporary data is there
+        NPY_ITER_VIRTUAL
+        # Require that the dimension match the iterator dimensions exactly
+        NPY_ITER_NO_BROADCAST
+        # A mask is being used on this array, affects buffer -> array copy
+        NPY_ITER_WRITEMASKED
+        # This array is the mask for all WRITEMASKED operands
+        NPY_ITER_ARRAYMASK
+        # Assume iterator order data access for COPY_IF_OVERLAP
+        NPY_ITER_OVERLAP_ASSUME_ELEMENTWISE
+
+    # construction and destruction functions
+    NpyIter* NpyIter_New(ndarray arr, npy_uint32 flags, NPY_ORDER order,
+                         NPY_CASTING casting, dtype datatype) except NULL
+    NpyIter* NpyIter_MultiNew(npy_intp nop, PyArrayObject** op, npy_uint32 flags,
+                              NPY_ORDER order, NPY_CASTING casting, npy_uint32*
+                              op_flags, PyArray_Descr** op_dtypes) except NULL
+    NpyIter* NpyIter_AdvancedNew(npy_intp nop, PyArrayObject** op,
+                                 npy_uint32 flags, NPY_ORDER order,
+                                 NPY_CASTING casting, npy_uint32* op_flags,
+                                 PyArray_Descr** op_dtypes, int oa_ndim,
+                                 int** op_axes, const npy_intp* itershape,
+                                 npy_intp buffersize) except NULL
+    NpyIter* NpyIter_Copy(NpyIter* it) except NULL
+    int NpyIter_RemoveAxis(NpyIter* it, int axis) except NPY_FAIL
+    int NpyIter_RemoveMultiIndex(NpyIter* it) except NPY_FAIL
+    int NpyIter_EnableExternalLoop(NpyIter* it) except NPY_FAIL
+    int NpyIter_Deallocate(NpyIter* it) except NPY_FAIL
+    int NpyIter_Reset(NpyIter* it, char** errmsg) except NPY_FAIL
+    int NpyIter_ResetToIterIndexRange(NpyIter* it, npy_intp istart,
+                                      npy_intp iend, char** errmsg) except NPY_FAIL
+    int NpyIter_ResetBasePointers(NpyIter* it, char** baseptrs, char** errmsg) except NPY_FAIL
+    int NpyIter_GotoMultiIndex(NpyIter* it, const npy_intp* multi_index) except NPY_FAIL
+    int NpyIter_GotoIndex(NpyIter* it, npy_intp index) except NPY_FAIL
+    npy_intp NpyIter_GetIterSize(NpyIter* it) nogil
+    npy_intp NpyIter_GetIterIndex(NpyIter* it) nogil
+    void NpyIter_GetIterIndexRange(NpyIter* it, npy_intp* istart,
+                                   npy_intp* iend) nogil
+    int NpyIter_GotoIterIndex(NpyIter* it, npy_intp iterindex) except NPY_FAIL
+    npy_bool NpyIter_HasDelayedBufAlloc(NpyIter* it) nogil
+    npy_bool NpyIter_HasExternalLoop(NpyIter* it) nogil
+    npy_bool NpyIter_HasMultiIndex(NpyIter* it) nogil
+    npy_bool NpyIter_HasIndex(NpyIter* it) nogil
+    npy_bool NpyIter_RequiresBuffering(NpyIter* it) nogil
+    npy_bool NpyIter_IsBuffered(NpyIter* it) nogil
+    npy_bool NpyIter_IsGrowInner(NpyIter* it) nogil
+    npy_intp NpyIter_GetBufferSize(NpyIter* it) nogil
+    int NpyIter_GetNDim(NpyIter* it) nogil
+    int NpyIter_GetNOp(NpyIter* it) nogil
+    npy_intp* NpyIter_GetAxisStrideArray(NpyIter* it, int axis) except NULL
+    int NpyIter_GetShape(NpyIter* it, npy_intp* outshape) nogil
+    PyArray_Descr** NpyIter_GetDescrArray(NpyIter* it)
+    PyArrayObject** NpyIter_GetOperandArray(NpyIter* it)
+    ndarray NpyIter_GetIterView(NpyIter* it, npy_intp i)
+    void NpyIter_GetReadFlags(NpyIter* it, char* outreadflags)
+    void NpyIter_GetWriteFlags(NpyIter* it, char* outwriteflags)
+    int NpyIter_CreateCompatibleStrides(NpyIter* it, npy_intp itemsize,
+                                        npy_intp* outstrides) except NPY_FAIL
+    npy_bool NpyIter_IsFirstVisit(NpyIter* it, int iop) nogil
+    # functions for iterating an NpyIter object
+    #
+    # These don't match the definition in the C API because Cython can't wrap
+    # function pointers that return functions.
+    NpyIter_IterNextFunc NpyIter_GetIterNext(NpyIter* it, char** errmsg) except NULL
+    NpyIter_GetMultiIndexFunc NpyIter_GetGetMultiIndex(NpyIter* it,
+                                                       char** errmsg) except NULL
+    char** NpyIter_GetDataPtrArray(NpyIter* it) nogil
+    char** NpyIter_GetInitialDataPtrArray(NpyIter* it) nogil
+    npy_intp* NpyIter_GetIndexPtr(NpyIter* it)
+    npy_intp* NpyIter_GetInnerStrideArray(NpyIter* it) nogil
+    npy_intp* NpyIter_GetInnerLoopSizePtr(NpyIter* it) nogil
+    void NpyIter_GetInnerFixedStrideArray(NpyIter* it, npy_intp* outstrides) nogil
+    npy_bool NpyIter_IterationNeedsAPI(NpyIter* it) nogil
+    void NpyIter_DebugPrint(NpyIter* it)

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/__init__.pxd

@@ -0,0 +1,1164 @@
+# NumPy static imports for Cython < 3.0
+#
+# If any of the PyArray_* functions are called, import_array must be
+# called first.
+#
+# Author: Dag Sverre Seljebotn
+#
+
+DEF _buffer_format_string_len = 255
+
+cimport cpython.buffer as pybuf
+from cpython.ref cimport Py_INCREF
+from cpython.mem cimport PyObject_Malloc, PyObject_Free
+from cpython.object cimport PyObject, PyTypeObject
+from cpython.buffer cimport PyObject_GetBuffer
+from cpython.type cimport type
+cimport libc.stdio as stdio
+
+
+cdef extern from *:
+    # Leave a marker that the NumPy declarations came from NumPy itself and not from Cython.
+    # See https://github.com/cython/cython/issues/3573
+    """
+    /* Using NumPy API declarations from "numpy/__init__.pxd" */
+    """
+
+
+cdef extern from "Python.h":
+    ctypedef int Py_intptr_t
+    bint PyObject_TypeCheck(object obj, PyTypeObject* type)
+
+cdef extern from "numpy/arrayobject.h":
+    # It would be nice to use size_t and ssize_t, but ssize_t has special
+    # implicit conversion rules, so just use "long".
+    # Note: The actual type only matters for Cython promotion, so long
+    #       is closer than int, but could lead to incorrect promotion.
+    #       (Not to worrying, and always the status-quo.)
+    ctypedef signed long npy_intp
+    ctypedef unsigned long npy_uintp
+
+    ctypedef unsigned char      npy_bool
+
+    ctypedef signed char      npy_byte
+    ctypedef signed short     npy_short
+    ctypedef signed int       npy_int
+    ctypedef signed long      npy_long
+    ctypedef signed long long npy_longlong
+
+    ctypedef unsigned char      npy_ubyte
+    ctypedef unsigned short     npy_ushort
+    ctypedef unsigned int       npy_uint
+    ctypedef unsigned long      npy_ulong
+    ctypedef unsigned long long npy_ulonglong
+
+    ctypedef float        npy_float
+    ctypedef double       npy_double
+    ctypedef long double  npy_longdouble
+
+    ctypedef signed char        npy_int8
+    ctypedef signed short       npy_int16
+    ctypedef signed int         npy_int32
+    ctypedef signed long long   npy_int64
+    ctypedef signed long long   npy_int96
+    ctypedef signed long long   npy_int128
+
+    ctypedef unsigned char      npy_uint8
+    ctypedef unsigned short     npy_uint16
+    ctypedef unsigned int       npy_uint32
+    ctypedef unsigned long long npy_uint64
+    ctypedef unsigned long long npy_uint96
+    ctypedef unsigned long long npy_uint128
+
+    ctypedef float        npy_float32
+    ctypedef double       npy_float64
+    ctypedef long double  npy_float80
+    ctypedef long double  npy_float96
+    ctypedef long double  npy_float128
+
+    ctypedef struct npy_cfloat:
+        pass
+
+    ctypedef struct npy_cdouble:
+        pass
+
+    ctypedef struct npy_clongdouble:
+        pass
+
+    ctypedef struct npy_complex64:
+        pass
+
+    ctypedef struct npy_complex128:
+        pass
+
+    ctypedef struct npy_complex160:
+        pass
+
+    ctypedef struct npy_complex192:
+        pass
+
+    ctypedef struct npy_complex256:
+        pass
+
+    ctypedef struct PyArray_Dims:
+        npy_intp *ptr
+        int len
+
+
+    cdef enum NPY_TYPES:
+        NPY_BOOL
+        NPY_BYTE
+        NPY_UBYTE
+        NPY_SHORT
+        NPY_USHORT
+        NPY_INT
+        NPY_UINT
+        NPY_LONG
+        NPY_ULONG
+        NPY_LONGLONG
+        NPY_ULONGLONG
+        NPY_FLOAT
+        NPY_DOUBLE
+        NPY_LONGDOUBLE
+        NPY_CFLOAT
+        NPY_CDOUBLE
+        NPY_CLONGDOUBLE
+        NPY_OBJECT
+        NPY_STRING
+        NPY_UNICODE
+        NPY_VOID
+        NPY_DATETIME
+        NPY_TIMEDELTA
+        NPY_NTYPES_LEGACY
+        NPY_NOTYPE
+
+        NPY_INT8
+        NPY_INT16
+        NPY_INT32
+        NPY_INT64
+        NPY_INT128
+        NPY_INT256
+        NPY_UINT8
+        NPY_UINT16
+        NPY_UINT32
+        NPY_UINT64
+        NPY_UINT128
+        NPY_UINT256
+        NPY_FLOAT16
+        NPY_FLOAT32
+        NPY_FLOAT64
+        NPY_FLOAT80
+        NPY_FLOAT96
+        NPY_FLOAT128
+        NPY_FLOAT256
+        NPY_COMPLEX32
+        NPY_COMPLEX64
+        NPY_COMPLEX128
+        NPY_COMPLEX160
+        NPY_COMPLEX192
+        NPY_COMPLEX256
+        NPY_COMPLEX512
+
+        NPY_INTP
+        NPY_UINTP
+        NPY_DEFAULT_INT  # Not a compile time constant (normally)!
+
+    ctypedef enum NPY_ORDER:
+        NPY_ANYORDER
+        NPY_CORDER
+        NPY_FORTRANORDER
+        NPY_KEEPORDER
+
+    ctypedef enum NPY_CASTING:
+        NPY_NO_CASTING
+        NPY_EQUIV_CASTING
+        NPY_SAFE_CASTING
+        NPY_SAME_KIND_CASTING
+        NPY_UNSAFE_CASTING
+
+    ctypedef enum NPY_CLIPMODE:
+        NPY_CLIP
+        NPY_WRAP
+        NPY_RAISE
+
+    ctypedef enum NPY_SCALARKIND:
+        NPY_NOSCALAR,
+        NPY_BOOL_SCALAR,
+        NPY_INTPOS_SCALAR,
+        NPY_INTNEG_SCALAR,
+        NPY_FLOAT_SCALAR,
+        NPY_COMPLEX_SCALAR,
+        NPY_OBJECT_SCALAR
+
+    ctypedef enum NPY_SORTKIND:
+        NPY_QUICKSORT
+        NPY_HEAPSORT
+        NPY_MERGESORT
+
+    ctypedef enum NPY_SEARCHSIDE:
+        NPY_SEARCHLEFT
+        NPY_SEARCHRIGHT
+
+    enum:
+        # DEPRECATED since NumPy 1.7 ! Do not use in new code!
+        NPY_C_CONTIGUOUS
+        NPY_F_CONTIGUOUS
+        NPY_CONTIGUOUS
+        NPY_FORTRAN
+        NPY_OWNDATA
+        NPY_FORCECAST
+        NPY_ENSURECOPY
+        NPY_ENSUREARRAY
+        NPY_ELEMENTSTRIDES
+        NPY_ALIGNED
+        NPY_NOTSWAPPED
+        NPY_WRITEABLE
+        NPY_ARR_HAS_DESCR
+
+        NPY_BEHAVED
+        NPY_BEHAVED_NS
+        NPY_CARRAY
+        NPY_CARRAY_RO
+        NPY_FARRAY
+        NPY_FARRAY_RO
+        NPY_DEFAULT
+
+        NPY_IN_ARRAY
+        NPY_OUT_ARRAY
+        NPY_INOUT_ARRAY
+        NPY_IN_FARRAY
+        NPY_OUT_FARRAY
+        NPY_INOUT_FARRAY
+
+        NPY_UPDATE_ALL
+
+    enum:
+        # Added in NumPy 1.7 to replace the deprecated enums above.
+        NPY_ARRAY_C_CONTIGUOUS
+        NPY_ARRAY_F_CONTIGUOUS
+        NPY_ARRAY_OWNDATA
+        NPY_ARRAY_FORCECAST
+        NPY_ARRAY_ENSURECOPY
+        NPY_ARRAY_ENSUREARRAY
+        NPY_ARRAY_ELEMENTSTRIDES
+        NPY_ARRAY_ALIGNED
+        NPY_ARRAY_NOTSWAPPED
+        NPY_ARRAY_WRITEABLE
+        NPY_ARRAY_WRITEBACKIFCOPY
+
+        NPY_ARRAY_BEHAVED
+        NPY_ARRAY_BEHAVED_NS
+        NPY_ARRAY_CARRAY
+        NPY_ARRAY_CARRAY_RO
+        NPY_ARRAY_FARRAY
+        NPY_ARRAY_FARRAY_RO
+        NPY_ARRAY_DEFAULT
+
+        NPY_ARRAY_IN_ARRAY
+        NPY_ARRAY_OUT_ARRAY
+        NPY_ARRAY_INOUT_ARRAY
+        NPY_ARRAY_IN_FARRAY
+        NPY_ARRAY_OUT_FARRAY
+        NPY_ARRAY_INOUT_FARRAY
+
+        NPY_ARRAY_UPDATE_ALL
+
+    cdef enum:
+        NPY_MAXDIMS  # 64 on NumPy 2.x and 32 on NumPy 1.x
+        NPY_RAVEL_AXIS  # Used for functions like PyArray_Mean
+
+    ctypedef void (*PyArray_VectorUnaryFunc)(void *, void *, npy_intp, void *,  void *)
+
+    ctypedef struct PyArray_ArrayDescr:
+        # shape is a tuple, but Cython doesn't support "tuple shape"
+        # inside a non-PyObject declaration, so we have to declare it
+        # as just a PyObject*.
+        PyObject* shape
+
+    ctypedef struct PyArray_Descr:
+        pass
+
+    ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]:
+        # Use PyDataType_* macros when possible, however there are no macros
+        # for accessing some of the fields, so some are defined.
+        cdef PyTypeObject* typeobj
+        cdef char kind
+        cdef char type
+        # Numpy sometimes mutates this without warning (e.g. it'll
+        # sometimes change "|" to "<" in shared dtype objects on
+        # little-endian machines). If this matters to you, use
+        # PyArray_IsNativeByteOrder(dtype.byteorder) instead of
+        # directly accessing this field.
+        cdef char byteorder
+        # Flags are not directly accessible on Cython <3. Use PyDataType_FLAGS.
+        # cdef char flags
+        cdef int type_num
+        # itemsize/elsize, alignment, fields, names, and subarray must
+        # use the `PyDataType_*` accessor macros. With Cython 3 you can
+        # still use getter attributes `dtype.itemsize`
+
+    ctypedef class numpy.flatiter [object PyArrayIterObject, check_size ignore]:
+        # Use through macros
+        pass
+
+    ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]:
+        cdef int numiter
+        cdef npy_intp size, index
+        cdef int nd
+        cdef npy_intp *dimensions
+        cdef void **iters
+
+    ctypedef struct PyArrayObject:
+        # For use in situations where ndarray can't replace PyArrayObject*,
+        # like PyArrayObject**.
+        pass
+
+    ctypedef class numpy.ndarray [object PyArrayObject, check_size ignore]:
+        cdef __cythonbufferdefaults__ = {"mode": "strided"}
+
+        cdef:
+            # Only taking a few of the most commonly used and stable fields.
+            # One should use PyArray_* macros instead to access the C fields.
+            char *data
+            int ndim "nd"
+            npy_intp *shape "dimensions"
+            npy_intp *strides
+            dtype descr  # deprecated since NumPy 1.7 !
+            PyObject* base #  NOT PUBLIC, DO NOT USE !
+
+
+    int _import_array() except -1
+    # A second definition so _import_array isn't marked as used when we use it here.
+    # Do not use - subject to change any time.
+    int __pyx_import_array "_import_array"() except -1
+
+    #
+    # Macros from ndarrayobject.h
+    #
+    bint PyArray_CHKFLAGS(ndarray m, int flags) nogil
+    bint PyArray_IS_C_CONTIGUOUS(ndarray arr) nogil
+    bint PyArray_IS_F_CONTIGUOUS(ndarray arr) nogil
+    bint PyArray_ISCONTIGUOUS(ndarray m) nogil
+    bint PyArray_ISWRITEABLE(ndarray m) nogil
+    bint PyArray_ISALIGNED(ndarray m) nogil
+
+    int PyArray_NDIM(ndarray) nogil
+    bint PyArray_ISONESEGMENT(ndarray) nogil
+    bint PyArray_ISFORTRAN(ndarray) nogil
+    int PyArray_FORTRANIF(ndarray) nogil
+
+    void* PyArray_DATA(ndarray) nogil
+    char* PyArray_BYTES(ndarray) nogil
+
+    npy_intp* PyArray_DIMS(ndarray) nogil
+    npy_intp* PyArray_STRIDES(ndarray) nogil
+    npy_intp PyArray_DIM(ndarray, size_t) nogil
+    npy_intp PyArray_STRIDE(ndarray, size_t) nogil
+
+    PyObject *PyArray_BASE(ndarray) nogil  # returns borrowed reference!
+    PyArray_Descr *PyArray_DESCR(ndarray) nogil  # returns borrowed reference to dtype!
+    PyArray_Descr *PyArray_DTYPE(ndarray) nogil  # returns borrowed reference to dtype! NP 1.7+ alias for descr.
+    int PyArray_FLAGS(ndarray) nogil
+    void PyArray_CLEARFLAGS(ndarray, int flags) nogil  # Added in NumPy 1.7
+    void PyArray_ENABLEFLAGS(ndarray, int flags) nogil  # Added in NumPy 1.7
+    npy_intp PyArray_ITEMSIZE(ndarray) nogil
+    int PyArray_TYPE(ndarray arr) nogil
+
+    object PyArray_GETITEM(ndarray arr, void *itemptr)
+    int PyArray_SETITEM(ndarray arr, void *itemptr, object obj) except -1
+
+    bint PyTypeNum_ISBOOL(int) nogil
+    bint PyTypeNum_ISUNSIGNED(int) nogil
+    bint PyTypeNum_ISSIGNED(int) nogil
+    bint PyTypeNum_ISINTEGER(int) nogil
+    bint PyTypeNum_ISFLOAT(int) nogil
+    bint PyTypeNum_ISNUMBER(int) nogil
+    bint PyTypeNum_ISSTRING(int) nogil
+    bint PyTypeNum_ISCOMPLEX(int) nogil
+    bint PyTypeNum_ISFLEXIBLE(int) nogil
+    bint PyTypeNum_ISUSERDEF(int) nogil
+    bint PyTypeNum_ISEXTENDED(int) nogil
+    bint PyTypeNum_ISOBJECT(int) nogil
+
+    npy_intp PyDataType_ELSIZE(dtype) nogil
+    npy_intp PyDataType_ALIGNMENT(dtype) nogil
+    PyObject* PyDataType_METADATA(dtype) nogil
+    PyArray_ArrayDescr* PyDataType_SUBARRAY(dtype) nogil
+    PyObject* PyDataType_NAMES(dtype) nogil
+    PyObject* PyDataType_FIELDS(dtype) nogil
+
+    bint PyDataType_ISBOOL(dtype) nogil
+    bint PyDataType_ISUNSIGNED(dtype) nogil
+    bint PyDataType_ISSIGNED(dtype) nogil
+    bint PyDataType_ISINTEGER(dtype) nogil
+    bint PyDataType_ISFLOAT(dtype) nogil
+    bint PyDataType_ISNUMBER(dtype) nogil
+    bint PyDataType_ISSTRING(dtype) nogil
+    bint PyDataType_ISCOMPLEX(dtype) nogil
+    bint PyDataType_ISFLEXIBLE(dtype) nogil
+    bint PyDataType_ISUSERDEF(dtype) nogil
+    bint PyDataType_ISEXTENDED(dtype) nogil
+    bint PyDataType_ISOBJECT(dtype) nogil
+    bint PyDataType_HASFIELDS(dtype) nogil
+    bint PyDataType_HASSUBARRAY(dtype) nogil
+    npy_uint64 PyDataType_FLAGS(dtype) nogil
+
+    bint PyArray_ISBOOL(ndarray) nogil
+    bint PyArray_ISUNSIGNED(ndarray) nogil
+    bint PyArray_ISSIGNED(ndarray) nogil
+    bint PyArray_ISINTEGER(ndarray) nogil
+    bint PyArray_ISFLOAT(ndarray) nogil
+    bint PyArray_ISNUMBER(ndarray) nogil
+    bint PyArray_ISSTRING(ndarray) nogil
+    bint PyArray_ISCOMPLEX(ndarray) nogil
+    bint PyArray_ISFLEXIBLE(ndarray) nogil
+    bint PyArray_ISUSERDEF(ndarray) nogil
+    bint PyArray_ISEXTENDED(ndarray) nogil
+    bint PyArray_ISOBJECT(ndarray) nogil
+    bint PyArray_HASFIELDS(ndarray) nogil
+
+    bint PyArray_ISVARIABLE(ndarray) nogil
+
+    bint PyArray_SAFEALIGNEDCOPY(ndarray) nogil
+    bint PyArray_ISNBO(char) nogil              # works on ndarray.byteorder
+    bint PyArray_IsNativeByteOrder(char) nogil # works on ndarray.byteorder
+    bint PyArray_ISNOTSWAPPED(ndarray) nogil
+    bint PyArray_ISBYTESWAPPED(ndarray) nogil
+
+    bint PyArray_FLAGSWAP(ndarray, int) nogil
+
+    bint PyArray_ISCARRAY(ndarray) nogil
+    bint PyArray_ISCARRAY_RO(ndarray) nogil
+    bint PyArray_ISFARRAY(ndarray) nogil
+    bint PyArray_ISFARRAY_RO(ndarray) nogil
+    bint PyArray_ISBEHAVED(ndarray) nogil
+    bint PyArray_ISBEHAVED_RO(ndarray) nogil
+
+
+    bint PyDataType_ISNOTSWAPPED(dtype) nogil
+    bint PyDataType_ISBYTESWAPPED(dtype) nogil
+
+    bint PyArray_DescrCheck(object)
+
+    bint PyArray_Check(object)
+    bint PyArray_CheckExact(object)
+
+    # Cannot be supported due to out arg:
+    # bint PyArray_HasArrayInterfaceType(object, dtype, object, object&)
+    # bint PyArray_HasArrayInterface(op, out)
+
+
+    bint PyArray_IsZeroDim(object)
+    # Cannot be supported due to ## ## in macro:
+    # bint PyArray_IsScalar(object, verbatim work)
+    bint PyArray_CheckScalar(object)
+    bint PyArray_IsPythonNumber(object)
+    bint PyArray_IsPythonScalar(object)
+    bint PyArray_IsAnyScalar(object)
+    bint PyArray_CheckAnyScalar(object)
+
+    ndarray PyArray_GETCONTIGUOUS(ndarray)
+    bint PyArray_SAMESHAPE(ndarray, ndarray) nogil
+    npy_intp PyArray_SIZE(ndarray) nogil
+    npy_intp PyArray_NBYTES(ndarray) nogil
+
+    object PyArray_FROM_O(object)
+    object PyArray_FROM_OF(object m, int flags)
+    object PyArray_FROM_OT(object m, int type)
+    object PyArray_FROM_OTF(object m, int type, int flags)
+    object PyArray_FROMANY(object m, int type, int min, int max, int flags)
+    object PyArray_ZEROS(int nd, npy_intp* dims, int type, int fortran)
+    object PyArray_EMPTY(int nd, npy_intp* dims, int type, int fortran)
+    void PyArray_FILLWBYTE(ndarray, int val)
+    object PyArray_ContiguousFromAny(op, int, int min_depth, int max_depth)
+    unsigned char PyArray_EquivArrTypes(ndarray a1, ndarray a2)
+    bint PyArray_EquivByteorders(int b1, int b2) nogil
+    object PyArray_SimpleNew(int nd, npy_intp* dims, int typenum)
+    object PyArray_SimpleNewFromData(int nd, npy_intp* dims, int typenum, void* data)
+    #object PyArray_SimpleNewFromDescr(int nd, npy_intp* dims, dtype descr)
+    object PyArray_ToScalar(void* data, ndarray arr)
+
+    void* PyArray_GETPTR1(ndarray m, npy_intp i) nogil
+    void* PyArray_GETPTR2(ndarray m, npy_intp i, npy_intp j) nogil
+    void* PyArray_GETPTR3(ndarray m, npy_intp i, npy_intp j, npy_intp k) nogil
+    void* PyArray_GETPTR4(ndarray m, npy_intp i, npy_intp j, npy_intp k, npy_intp l) nogil
+
+    # Cannot be supported due to out arg
+    # void PyArray_DESCR_REPLACE(descr)
+
+
+    object PyArray_Copy(ndarray)
+    object PyArray_FromObject(object op, int type, int min_depth, int max_depth)
+    object PyArray_ContiguousFromObject(object op, int type, int min_depth, int max_depth)
+    object PyArray_CopyFromObject(object op, int type, int min_depth, int max_depth)
+
+    object PyArray_Cast(ndarray mp, int type_num)
+    object PyArray_Take(ndarray ap, object items, int axis)
+    object PyArray_Put(ndarray ap, object items, object values)
+
+    void PyArray_ITER_RESET(flatiter it) nogil
+    void PyArray_ITER_NEXT(flatiter it) nogil
+    void PyArray_ITER_GOTO(flatiter it, npy_intp* destination) nogil
+    void PyArray_ITER_GOTO1D(flatiter it, npy_intp ind) nogil
+    void* PyArray_ITER_DATA(flatiter it) nogil
+    bint PyArray_ITER_NOTDONE(flatiter it) nogil
+
+    void PyArray_MultiIter_RESET(broadcast multi) nogil
+    void PyArray_MultiIter_NEXT(broadcast multi) nogil
+    void PyArray_MultiIter_GOTO(broadcast multi, npy_intp dest) nogil
+    void PyArray_MultiIter_GOTO1D(broadcast multi, npy_intp ind) nogil
+    void* PyArray_MultiIter_DATA(broadcast multi, npy_intp i) nogil
+    void PyArray_MultiIter_NEXTi(broadcast multi, npy_intp i) nogil
+    bint PyArray_MultiIter_NOTDONE(broadcast multi) nogil
+    npy_intp PyArray_MultiIter_SIZE(broadcast multi) nogil
+    int PyArray_MultiIter_NDIM(broadcast multi) nogil
+    npy_intp PyArray_MultiIter_INDEX(broadcast multi) nogil
+    int PyArray_MultiIter_NUMITER(broadcast multi) nogil
+    npy_intp* PyArray_MultiIter_DIMS(broadcast multi) nogil
+    void** PyArray_MultiIter_ITERS(broadcast multi) nogil
+
+    # Functions from __multiarray_api.h
+
+    # Functions taking dtype and returning object/ndarray are disabled
+    # for now as they steal dtype references. I'm conservative and disable
+    # more than is probably needed until it can be checked further.
+    int PyArray_INCREF (ndarray) except *  # uses PyArray_Item_INCREF...
+    int PyArray_XDECREF (ndarray) except *  # uses PyArray_Item_DECREF...
+    dtype PyArray_DescrFromType (int)
+    object PyArray_TypeObjectFromType (int)
+    char * PyArray_Zero (ndarray)
+    char * PyArray_One (ndarray)
+    #object PyArray_CastToType (ndarray, dtype, int)
+    int PyArray_CanCastSafely (int, int)  # writes errors
+    npy_bool PyArray_CanCastTo (dtype, dtype)  # writes errors
+    int PyArray_ObjectType (object, int) except 0
+    dtype PyArray_DescrFromObject (object, dtype)
+    #ndarray* PyArray_ConvertToCommonType (object, int *)
+    dtype PyArray_DescrFromScalar (object)
+    dtype PyArray_DescrFromTypeObject (object)
+    npy_intp PyArray_Size (object)
+    #object PyArray_Scalar (void *, dtype, object)
+    #object PyArray_FromScalar (object, dtype)
+    void PyArray_ScalarAsCtype (object, void *)
+    #int PyArray_CastScalarToCtype (object, void *, dtype)
+    #int PyArray_CastScalarDirect (object, dtype, void *, int)
+    #PyArray_VectorUnaryFunc * PyArray_GetCastFunc (dtype, int)
+    #object PyArray_FromAny (object, dtype, int, int, int, object)
+    object PyArray_EnsureArray (object)
+    object PyArray_EnsureAnyArray (object)
+    #object PyArray_FromFile (stdio.FILE *, dtype, npy_intp, char *)
+    #object PyArray_FromString (char *, npy_intp, dtype, npy_intp, char *)
+    #object PyArray_FromBuffer (object, dtype, npy_intp, npy_intp)
+    #object PyArray_FromIter (object, dtype, npy_intp)
+    object PyArray_Return (ndarray)
+    #object PyArray_GetField (ndarray, dtype, int)
+    #int PyArray_SetField (ndarray, dtype, int, object) except -1
+    object PyArray_Byteswap (ndarray, npy_bool)
+    object PyArray_Resize (ndarray, PyArray_Dims *, int, NPY_ORDER)
+    int PyArray_CopyInto (ndarray, ndarray) except -1
+    int PyArray_CopyAnyInto (ndarray, ndarray) except -1
+    int PyArray_CopyObject (ndarray, object) except -1
+    object PyArray_NewCopy (ndarray, NPY_ORDER)
+    object PyArray_ToList (ndarray)
+    object PyArray_ToString (ndarray, NPY_ORDER)
+    int PyArray_ToFile (ndarray, stdio.FILE *, char *, char *) except -1
+    int PyArray_Dump (object, object, int) except -1
+    object PyArray_Dumps (object, int)
+    int PyArray_ValidType (int)  # Cannot error
+    void PyArray_UpdateFlags (ndarray, int)
+    object PyArray_New (type, int, npy_intp *, int, npy_intp *, void *, int, int, object)
+    #object PyArray_NewFromDescr (type, dtype, int, npy_intp *, npy_intp *, void *, int, object)
+    #dtype PyArray_DescrNew (dtype)
+    dtype PyArray_DescrNewFromType (int)
+    double PyArray_GetPriority (object, double)  # clears errors as of 1.25
+    object PyArray_IterNew (object)
+    object PyArray_MultiIterNew (int, ...)
+
+    int PyArray_PyIntAsInt (object) except? -1
+    npy_intp PyArray_PyIntAsIntp (object)
+    int PyArray_Broadcast (broadcast) except -1
+    int PyArray_FillWithScalar (ndarray, object) except -1
+    npy_bool PyArray_CheckStrides (int, int, npy_intp, npy_intp, npy_intp *, npy_intp *)
+    dtype PyArray_DescrNewByteorder (dtype, char)
+    object PyArray_IterAllButAxis (object, int *)
+    #object PyArray_CheckFromAny (object, dtype, int, int, int, object)
+    #object PyArray_FromArray (ndarray, dtype, int)
+    object PyArray_FromInterface (object)
+    object PyArray_FromStructInterface (object)
+    #object PyArray_FromArrayAttr (object, dtype, object)
+    #NPY_SCALARKIND PyArray_ScalarKind (int, ndarray*)
+    int PyArray_CanCoerceScalar (int, int, NPY_SCALARKIND)
+    npy_bool PyArray_CanCastScalar (type, type)
+    int PyArray_RemoveSmallest (broadcast) except -1
+    int PyArray_ElementStrides (object)
+    void PyArray_Item_INCREF (char *, dtype) except *
+    void PyArray_Item_XDECREF (char *, dtype) except *
+    object PyArray_Transpose (ndarray, PyArray_Dims *)
+    object PyArray_TakeFrom (ndarray, object, int, ndarray, NPY_CLIPMODE)
+    object PyArray_PutTo (ndarray, object, object, NPY_CLIPMODE)
+    object PyArray_PutMask (ndarray, object, object)
+    object PyArray_Repeat (ndarray, object, int)
+    object PyArray_Choose (ndarray, object, ndarray, NPY_CLIPMODE)
+    int PyArray_Sort (ndarray, int, NPY_SORTKIND) except -1
+    object PyArray_ArgSort (ndarray, int, NPY_SORTKIND)
+    object PyArray_SearchSorted (ndarray, object, NPY_SEARCHSIDE, PyObject *)
+    object PyArray_ArgMax (ndarray, int, ndarray)
+    object PyArray_ArgMin (ndarray, int, ndarray)
+    object PyArray_Reshape (ndarray, object)
+    object PyArray_Newshape (ndarray, PyArray_Dims *, NPY_ORDER)
+    object PyArray_Squeeze (ndarray)
+    #object PyArray_View (ndarray, dtype, type)
+    object PyArray_SwapAxes (ndarray, int, int)
+    object PyArray_Max (ndarray, int, ndarray)
+    object PyArray_Min (ndarray, int, ndarray)
+    object PyArray_Ptp (ndarray, int, ndarray)
+    object PyArray_Mean (ndarray, int, int, ndarray)
+    object PyArray_Trace (ndarray, int, int, int, int, ndarray)
+    object PyArray_Diagonal (ndarray, int, int, int)
+    object PyArray_Clip (ndarray, object, object, ndarray)
+    object PyArray_Conjugate (ndarray, ndarray)
+    object PyArray_Nonzero (ndarray)
+    object PyArray_Std (ndarray, int, int, ndarray, int)
+    object PyArray_Sum (ndarray, int, int, ndarray)
+    object PyArray_CumSum (ndarray, int, int, ndarray)
+    object PyArray_Prod (ndarray, int, int, ndarray)
+    object PyArray_CumProd (ndarray, int, int, ndarray)
+    object PyArray_All (ndarray, int, ndarray)
+    object PyArray_Any (ndarray, int, ndarray)
+    object PyArray_Compress (ndarray, object, int, ndarray)
+    object PyArray_Flatten (ndarray, NPY_ORDER)
+    object PyArray_Ravel (ndarray, NPY_ORDER)
+    npy_intp PyArray_MultiplyList (npy_intp *, int)
+    int PyArray_MultiplyIntList (int *, int)
+    void * PyArray_GetPtr (ndarray, npy_intp*)
+    int PyArray_CompareLists (npy_intp *, npy_intp *, int)
+    #int PyArray_AsCArray (object*, void *, npy_intp *, int, dtype)
+    int PyArray_Free (object, void *)
+    #int PyArray_Converter (object, object*)
+    int PyArray_IntpFromSequence (object, npy_intp *, int) except -1
+    object PyArray_Concatenate (object, int)
+    object PyArray_InnerProduct (object, object)
+    object PyArray_MatrixProduct (object, object)
+    object PyArray_Correlate (object, object, int)
+    #int PyArray_DescrConverter (object, dtype*) except 0
+    #int PyArray_DescrConverter2 (object, dtype*) except 0
+    int PyArray_IntpConverter (object, PyArray_Dims *) except 0
+    #int PyArray_BufferConverter (object, chunk) except 0
+    int PyArray_AxisConverter (object, int *) except 0
+    int PyArray_BoolConverter (object, npy_bool *) except 0
+    int PyArray_ByteorderConverter (object, char *) except 0
+    int PyArray_OrderConverter (object, NPY_ORDER *) except 0
+    unsigned char PyArray_EquivTypes (dtype, dtype)  # clears errors
+    #object PyArray_Zeros (int, npy_intp *, dtype, int)
+    #object PyArray_Empty (int, npy_intp *, dtype, int)
+    object PyArray_Where (object, object, object)
+    object PyArray_Arange (double, double, double, int)
+    #object PyArray_ArangeObj (object, object, object, dtype)
+    int PyArray_SortkindConverter (object, NPY_SORTKIND *) except 0
+    object PyArray_LexSort (object, int)
+    object PyArray_Round (ndarray, int, ndarray)
+    unsigned char PyArray_EquivTypenums (int, int)
+    int PyArray_RegisterDataType (dtype) except -1
+    int PyArray_RegisterCastFunc (dtype, int, PyArray_VectorUnaryFunc *) except -1
+    int PyArray_RegisterCanCast (dtype, int, NPY_SCALARKIND) except -1
+    #void PyArray_InitArrFuncs (PyArray_ArrFuncs *)
+    object PyArray_IntTupleFromIntp (int, npy_intp *)
+    int PyArray_ClipmodeConverter (object, NPY_CLIPMODE *) except 0
+    #int PyArray_OutputConverter (object, ndarray*) except 0
+    object PyArray_BroadcastToShape (object, npy_intp *, int)
+    #int PyArray_DescrAlignConverter (object, dtype*) except 0
+    #int PyArray_DescrAlignConverter2 (object, dtype*) except 0
+    int PyArray_SearchsideConverter (object, void *) except 0
+    object PyArray_CheckAxis (ndarray, int *, int)
+    npy_intp PyArray_OverflowMultiplyList (npy_intp *, int)
+    int PyArray_SetBaseObject(ndarray, base) except -1 # NOTE: steals a reference to base! Use "set_array_base()" instead.
+
+    # The memory handler functions require the NumPy 1.22 API
+    # and may require defining NPY_TARGET_VERSION
+    ctypedef struct PyDataMemAllocator:
+        void *ctx
+        void* (*malloc) (void *ctx, size_t size)
+        void* (*calloc) (void *ctx, size_t nelem, size_t elsize)
+        void* (*realloc) (void *ctx, void *ptr, size_t new_size)
+        void (*free) (void *ctx, void *ptr, size_t size)
+
+    ctypedef struct PyDataMem_Handler:
+        char* name
+        npy_uint8 version
+        PyDataMemAllocator allocator
+
+    object PyDataMem_SetHandler(object handler)
+    object PyDataMem_GetHandler()
+
+    # additional datetime related functions are defined below
+
+
+# Typedefs that matches the runtime dtype objects in
+# the numpy module.
+
+# The ones that are commented out needs an IFDEF function
+# in Cython to enable them only on the right systems.
+
+ctypedef npy_int8       int8_t
+ctypedef npy_int16      int16_t
+ctypedef npy_int32      int32_t
+ctypedef npy_int64      int64_t
+#ctypedef npy_int96      int96_t
+#ctypedef npy_int128     int128_t
+
+ctypedef npy_uint8      uint8_t
+ctypedef npy_uint16     uint16_t
+ctypedef npy_uint32     uint32_t
+ctypedef npy_uint64     uint64_t
+#ctypedef npy_uint96     uint96_t
+#ctypedef npy_uint128    uint128_t
+
+ctypedef npy_float32    float32_t
+ctypedef npy_float64    float64_t
+#ctypedef npy_float80    float80_t
+#ctypedef npy_float128   float128_t
+
+ctypedef float complex  complex64_t
+ctypedef double complex complex128_t
+
+ctypedef npy_longlong   longlong_t
+ctypedef npy_ulonglong  ulonglong_t
+
+ctypedef npy_intp       intp_t
+ctypedef npy_uintp      uintp_t
+
+ctypedef npy_double     float_t
+ctypedef npy_double     double_t
+ctypedef npy_longdouble longdouble_t
+
+ctypedef float complex       cfloat_t
+ctypedef double complex      cdouble_t
+ctypedef double complex      complex_t
+ctypedef long double complex clongdouble_t
+
+cdef inline object PyArray_MultiIterNew1(a):
+    return PyArray_MultiIterNew(1, <void*>a)
+
+cdef inline object PyArray_MultiIterNew2(a, b):
+    return PyArray_MultiIterNew(2, <void*>a, <void*>b)
+
+cdef inline object PyArray_MultiIterNew3(a, b, c):
+    return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
+
+cdef inline object PyArray_MultiIterNew4(a, b, c, d):
+    return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
+
+cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):
+    return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
+
+cdef inline tuple PyDataType_SHAPE(dtype d):
+    if PyDataType_HASSUBARRAY(d):
+        return <tuple>d.subarray.shape
+    else:
+        return ()
+
+
+cdef extern from "numpy/ndarrayobject.h":
+    PyTypeObject PyTimedeltaArrType_Type
+    PyTypeObject PyDatetimeArrType_Type
+    ctypedef int64_t npy_timedelta
+    ctypedef int64_t npy_datetime
+
+cdef extern from "numpy/ndarraytypes.h":
+    ctypedef struct PyArray_DatetimeMetaData:
+        NPY_DATETIMEUNIT base
+        int64_t num
+
+    ctypedef struct npy_datetimestruct:
+        int64_t year
+        int32_t month, day, hour, min, sec, us, ps, as
+
+    # Iterator API added in v1.6
+    #
+    # These don't match the definition in the C API because Cython can't wrap
+    # function pointers that return functions.
+    # https://github.com/cython/cython/issues/6720
+    ctypedef int (*NpyIter_IterNextFunc "NpyIter_IterNextFunc *")(NpyIter* it) noexcept nogil
+    ctypedef void (*NpyIter_GetMultiIndexFunc "NpyIter_GetMultiIndexFunc *")(NpyIter* it, npy_intp* outcoords) noexcept nogil
+
+cdef extern from "numpy/arrayscalars.h":
+
+    # abstract types
+    ctypedef class numpy.generic [object PyObject]:
+        pass
+    ctypedef class numpy.number [object PyObject]:
+        pass
+    ctypedef class numpy.integer [object PyObject]:
+        pass
+    ctypedef class numpy.signedinteger [object PyObject]:
+        pass
+    ctypedef class numpy.unsignedinteger [object PyObject]:
+        pass
+    ctypedef class numpy.inexact [object PyObject]:
+        pass
+    ctypedef class numpy.floating [object PyObject]:
+        pass
+    ctypedef class numpy.complexfloating [object PyObject]:
+        pass
+    ctypedef class numpy.flexible [object PyObject]:
+        pass
+    ctypedef class numpy.character [object PyObject]:
+        pass
+
+    ctypedef struct PyDatetimeScalarObject:
+        # PyObject_HEAD
+        npy_datetime obval
+        PyArray_DatetimeMetaData obmeta
+
+    ctypedef struct PyTimedeltaScalarObject:
+        # PyObject_HEAD
+        npy_timedelta obval
+        PyArray_DatetimeMetaData obmeta
+
+    ctypedef enum NPY_DATETIMEUNIT:
+        NPY_FR_Y
+        NPY_FR_M
+        NPY_FR_W
+        NPY_FR_D
+        NPY_FR_B
+        NPY_FR_h
+        NPY_FR_m
+        NPY_FR_s
+        NPY_FR_ms
+        NPY_FR_us
+        NPY_FR_ns
+        NPY_FR_ps
+        NPY_FR_fs
+        NPY_FR_as
+        NPY_FR_GENERIC
+
+
+cdef extern from "numpy/arrayobject.h":
+    # These are part of the C-API defined in `__multiarray_api.h`
+
+    # NumPy internal definitions in datetime_strings.c:
+    int get_datetime_iso_8601_strlen "NpyDatetime_GetDatetimeISO8601StrLen" (
+            int local, NPY_DATETIMEUNIT base)
+    int make_iso_8601_datetime "NpyDatetime_MakeISO8601Datetime" (
+            npy_datetimestruct *dts, char *outstr, npy_intp outlen,
+            int local, int utc, NPY_DATETIMEUNIT base, int tzoffset,
+            NPY_CASTING casting) except -1
+
+    # NumPy internal definition in datetime.c:
+    # May return 1 to indicate that object does not appear to be a datetime
+    # (returns 0 on success).
+    int convert_pydatetime_to_datetimestruct "NpyDatetime_ConvertPyDateTimeToDatetimeStruct" (
+            PyObject *obj, npy_datetimestruct *out,
+            NPY_DATETIMEUNIT *out_bestunit, int apply_tzinfo) except -1
+    int convert_datetime64_to_datetimestruct "NpyDatetime_ConvertDatetime64ToDatetimeStruct" (
+            PyArray_DatetimeMetaData *meta, npy_datetime dt,
+            npy_datetimestruct *out) except -1
+    int convert_datetimestruct_to_datetime64 "NpyDatetime_ConvertDatetimeStructToDatetime64"(
+            PyArray_DatetimeMetaData *meta, const npy_datetimestruct *dts,
+            npy_datetime *out) except -1
+
+
+#
+# ufunc API
+#
+
+cdef extern from "numpy/ufuncobject.h":
+
+    ctypedef void (*PyUFuncGenericFunction) (char **, npy_intp *, npy_intp *, void *)
+
+    ctypedef class numpy.ufunc [object PyUFuncObject, check_size ignore]:
+        cdef:
+            int nin, nout, nargs
+            int identity
+            PyUFuncGenericFunction *functions
+            void **data
+            int ntypes
+            int check_return
+            char *name
+            char *types
+            char *doc
+            void *ptr
+            PyObject *obj
+            PyObject *userloops
+
+    cdef enum:
+        PyUFunc_Zero
+        PyUFunc_One
+        PyUFunc_None
+        UFUNC_FPE_DIVIDEBYZERO
+        UFUNC_FPE_OVERFLOW
+        UFUNC_FPE_UNDERFLOW
+        UFUNC_FPE_INVALID
+
+    object PyUFunc_FromFuncAndData(PyUFuncGenericFunction *,
+          void **, char *, int, int, int, int, char *, char *, int)
+    int PyUFunc_RegisterLoopForType(ufunc, int,
+                                    PyUFuncGenericFunction, int *, void *) except -1
+    void PyUFunc_f_f_As_d_d \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_d_d \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_f_f \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_g_g \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_F_F_As_D_D \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_F_F \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_D_D \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_G_G \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_O_O \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_ff_f_As_dd_d \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_ff_f \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_dd_d \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_gg_g \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_FF_F_As_DD_D \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_DD_D \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_FF_F \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_GG_G \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_OO_O \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_O_O_method \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_OO_O_method \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_On_Om \
+         (char **, npy_intp *, npy_intp *, void *)
+    void PyUFunc_clearfperr()
+    int PyUFunc_getfperr()
+    int PyUFunc_ReplaceLoopBySignature \
+        (ufunc, PyUFuncGenericFunction, int *, PyUFuncGenericFunction *)
+    object PyUFunc_FromFuncAndDataAndSignature \
+             (PyUFuncGenericFunction *, void **, char *, int, int, int,
+              int, char *, char *, int, char *)
+
+    int _import_umath() except -1
+
+cdef inline void set_array_base(ndarray arr, object base):
+    Py_INCREF(base) # important to do this before stealing the reference below!
+    PyArray_SetBaseObject(arr, base)
+
+cdef inline object get_array_base(ndarray arr):
+    base = PyArray_BASE(arr)
+    if base is NULL:
+        return None
+    return <object>base
+
+# Versions of the import_* functions which are more suitable for
+# Cython code.
+cdef inline int import_array() except -1:
+    try:
+        __pyx_import_array()
+    except Exception:
+        raise ImportError("numpy._core.multiarray failed to import")
+
+cdef inline int import_umath() except -1:
+    try:
+        _import_umath()
+    except Exception:
+        raise ImportError("numpy._core.umath failed to import")
+
+cdef inline int import_ufunc() except -1:
+    try:
+        _import_umath()
+    except Exception:
+        raise ImportError("numpy._core.umath failed to import")
+
+
+cdef inline bint is_timedelta64_object(object obj):
+    """
+    Cython equivalent of `isinstance(obj, np.timedelta64)`
+
+    Parameters
+    ----------
+    obj : object
+
+    Returns
+    -------
+    bool
+    """
+    return PyObject_TypeCheck(obj, &PyTimedeltaArrType_Type)
+
+
+cdef inline bint is_datetime64_object(object obj):
+    """
+    Cython equivalent of `isinstance(obj, np.datetime64)`
+
+    Parameters
+    ----------
+    obj : object
+
+    Returns
+    -------
+    bool
+    """
+    return PyObject_TypeCheck(obj, &PyDatetimeArrType_Type)
+
+
+cdef inline npy_datetime get_datetime64_value(object obj) nogil:
+    """
+    returns the int64 value underlying scalar numpy datetime64 object
+
+    Note that to interpret this as a datetime, the corresponding unit is
+    also needed.  That can be found using `get_datetime64_unit`.
+    """
+    return (<PyDatetimeScalarObject*>obj).obval
+
+
+cdef inline npy_timedelta get_timedelta64_value(object obj) nogil:
+    """
+    returns the int64 value underlying scalar numpy timedelta64 object
+    """
+    return (<PyTimedeltaScalarObject*>obj).obval
+
+
+cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) nogil:
+    """
+    returns the unit part of the dtype for a numpy datetime64 object.
+    """
+    return <NPY_DATETIMEUNIT>(<PyDatetimeScalarObject*>obj).obmeta.base
+
+
+cdef extern from "numpy/arrayobject.h":
+
+    ctypedef struct NpyIter:
+        pass
+
+    cdef enum:
+        NPY_FAIL
+        NPY_SUCCEED
+
+    cdef enum:
+        # Track an index representing C order
+        NPY_ITER_C_INDEX
+        # Track an index representing Fortran order
+        NPY_ITER_F_INDEX
+        # Track a multi-index
+        NPY_ITER_MULTI_INDEX
+        # User code external to the iterator does the 1-dimensional innermost loop
+        NPY_ITER_EXTERNAL_LOOP
+        # Convert all the operands to a common data type
+        NPY_ITER_COMMON_DTYPE
+        # Operands may hold references, requiring API access during iteration
+        NPY_ITER_REFS_OK
+        # Zero-sized operands should be permitted, iteration checks IterSize for 0
+        NPY_ITER_ZEROSIZE_OK
+        # Permits reductions (size-0 stride with dimension size > 1)
+        NPY_ITER_REDUCE_OK
+        # Enables sub-range iteration
+        NPY_ITER_RANGED
+        # Enables buffering
+        NPY_ITER_BUFFERED
+        # When buffering is enabled, grows the inner loop if possible
+        NPY_ITER_GROWINNER
+        # Delay allocation of buffers until first Reset* call
+        NPY_ITER_DELAY_BUFALLOC
+        # When NPY_KEEPORDER is specified, disable reversing negative-stride axes
+        NPY_ITER_DONT_NEGATE_STRIDES
+        NPY_ITER_COPY_IF_OVERLAP
+        # The operand will be read from and written to
+        NPY_ITER_READWRITE
+        # The operand will only be read from
+        NPY_ITER_READONLY
+        # The operand will only be written to
+        NPY_ITER_WRITEONLY
+        # The operand's data must be in native byte order
+        NPY_ITER_NBO
+        # The operand's data must be aligned
+        NPY_ITER_ALIGNED
+        # The operand's data must be contiguous (within the inner loop)
+        NPY_ITER_CONTIG
+        # The operand may be copied to satisfy requirements
+        NPY_ITER_COPY
+        # The operand may be copied with WRITEBACKIFCOPY to satisfy requirements
+        NPY_ITER_UPDATEIFCOPY
+        # Allocate the operand if it is NULL
+        NPY_ITER_ALLOCATE
+        # If an operand is allocated, don't use any subtype
+        NPY_ITER_NO_SUBTYPE
+        # This is a virtual array slot, operand is NULL but temporary data is there
+        NPY_ITER_VIRTUAL
+        # Require that the dimension match the iterator dimensions exactly
+        NPY_ITER_NO_BROADCAST
+        # A mask is being used on this array, affects buffer -> array copy
+        NPY_ITER_WRITEMASKED
+        # This array is the mask for all WRITEMASKED operands
+        NPY_ITER_ARRAYMASK
+        # Assume iterator order data access for COPY_IF_OVERLAP
+        NPY_ITER_OVERLAP_ASSUME_ELEMENTWISE
+
+    # construction and destruction functions
+    NpyIter* NpyIter_New(ndarray arr, npy_uint32 flags, NPY_ORDER order,
+                         NPY_CASTING casting, dtype datatype) except NULL
+    NpyIter* NpyIter_MultiNew(npy_intp nop, PyArrayObject** op, npy_uint32 flags,
+                              NPY_ORDER order, NPY_CASTING casting, npy_uint32*
+                              op_flags, PyArray_Descr** op_dtypes) except NULL
+    NpyIter* NpyIter_AdvancedNew(npy_intp nop, PyArrayObject** op,
+                                 npy_uint32 flags, NPY_ORDER order,
+                                 NPY_CASTING casting, npy_uint32* op_flags,
+                                 PyArray_Descr** op_dtypes, int oa_ndim,
+                                 int** op_axes, const npy_intp* itershape,
+                                 npy_intp buffersize) except NULL
+    NpyIter* NpyIter_Copy(NpyIter* it) except NULL
+    int NpyIter_RemoveAxis(NpyIter* it, int axis) except NPY_FAIL
+    int NpyIter_RemoveMultiIndex(NpyIter* it) except NPY_FAIL
+    int NpyIter_EnableExternalLoop(NpyIter* it) except NPY_FAIL
+    int NpyIter_Deallocate(NpyIter* it) except NPY_FAIL
+    int NpyIter_Reset(NpyIter* it, char** errmsg) except NPY_FAIL
+    int NpyIter_ResetToIterIndexRange(NpyIter* it, npy_intp istart,
+                                      npy_intp iend, char** errmsg) except NPY_FAIL
+    int NpyIter_ResetBasePointers(NpyIter* it, char** baseptrs, char** errmsg) except NPY_FAIL
+    int NpyIter_GotoMultiIndex(NpyIter* it, const npy_intp* multi_index) except NPY_FAIL
+    int NpyIter_GotoIndex(NpyIter* it, npy_intp index) except NPY_FAIL
+    npy_intp NpyIter_GetIterSize(NpyIter* it) nogil
+    npy_intp NpyIter_GetIterIndex(NpyIter* it) nogil
+    void NpyIter_GetIterIndexRange(NpyIter* it, npy_intp* istart,
+                                   npy_intp* iend) nogil
+    int NpyIter_GotoIterIndex(NpyIter* it, npy_intp iterindex) except NPY_FAIL
+    npy_bool NpyIter_HasDelayedBufAlloc(NpyIter* it) nogil
+    npy_bool NpyIter_HasExternalLoop(NpyIter* it) nogil
+    npy_bool NpyIter_HasMultiIndex(NpyIter* it) nogil
+    npy_bool NpyIter_HasIndex(NpyIter* it) nogil
+    npy_bool NpyIter_RequiresBuffering(NpyIter* it) nogil
+    npy_bool NpyIter_IsBuffered(NpyIter* it) nogil
+    npy_bool NpyIter_IsGrowInner(NpyIter* it) nogil
+    npy_intp NpyIter_GetBufferSize(NpyIter* it) nogil
+    int NpyIter_GetNDim(NpyIter* it) nogil
+    int NpyIter_GetNOp(NpyIter* it) nogil
+    npy_intp* NpyIter_GetAxisStrideArray(NpyIter* it, int axis) except NULL
+    int NpyIter_GetShape(NpyIter* it, npy_intp* outshape) nogil
+    PyArray_Descr** NpyIter_GetDescrArray(NpyIter* it)
+    PyArrayObject** NpyIter_GetOperandArray(NpyIter* it)
+    ndarray NpyIter_GetIterView(NpyIter* it, npy_intp i)
+    void NpyIter_GetReadFlags(NpyIter* it, char* outreadflags)
+    void NpyIter_GetWriteFlags(NpyIter* it, char* outwriteflags)
+    int NpyIter_CreateCompatibleStrides(NpyIter* it, npy_intp itemsize,
+                                        npy_intp* outstrides) except NPY_FAIL
+    npy_bool NpyIter_IsFirstVisit(NpyIter* it, int iop) nogil
+    # functions for iterating an NpyIter object
+    #
+    # These don't match the definition in the C API because Cython can't wrap
+    # function pointers that return functions.
+    NpyIter_IterNextFunc* NpyIter_GetIterNext(NpyIter* it, char** errmsg) except NULL
+    NpyIter_GetMultiIndexFunc* NpyIter_GetGetMultiIndex(NpyIter* it,
+                                                        char** errmsg) except NULL
+    char** NpyIter_GetDataPtrArray(NpyIter* it) nogil
+    char** NpyIter_GetInitialDataPtrArray(NpyIter* it) nogil
+    npy_intp* NpyIter_GetIndexPtr(NpyIter* it)
+    npy_intp* NpyIter_GetInnerStrideArray(NpyIter* it) nogil
+    npy_intp* NpyIter_GetInnerLoopSizePtr(NpyIter* it) nogil
+    void NpyIter_GetInnerFixedStrideArray(NpyIter* it, npy_intp* outstrides) nogil
+    npy_bool NpyIter_IterationNeedsAPI(NpyIter* it) nogil
+    void NpyIter_DebugPrint(NpyIter* it)

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/__init__.py

@@ -0,0 +1,547 @@
+"""
+NumPy
+=====
+
+Provides
+  1. An array object of arbitrary homogeneous items
+  2. Fast mathematical operations over arrays
+  3. Linear Algebra, Fourier Transforms, Random Number Generation
+
+How to use the documentation
+----------------------------
+Documentation is available in two forms: docstrings provided
+with the code, and a loose standing reference guide, available from
+`the NumPy homepage <https://numpy.org>`_.
+
+We recommend exploring the docstrings using
+`IPython <https://ipython.org>`_, an advanced Python shell with
+TAB-completion and introspection capabilities.  See below for further
+instructions.
+
+The docstring examples assume that `numpy` has been imported as ``np``::
+
+  >>> import numpy as np
+
+Code snippets are indicated by three greater-than signs::
+
+  >>> x = 42
+  >>> x = x + 1
+
+Use the built-in ``help`` function to view a function's docstring::
+
+  >>> help(np.sort)
+  ... # doctest: +SKIP
+
+For some objects, ``np.info(obj)`` may provide additional help.  This is
+particularly true if you see the line "Help on ufunc object:" at the top
+of the help() page.  Ufuncs are implemented in C, not Python, for speed.
+The native Python help() does not know how to view their help, but our
+np.info() function does.
+
+Available subpackages
+---------------------
+lib
+    Basic functions used by several sub-packages.
+random
+    Core Random Tools
+linalg
+    Core Linear Algebra Tools
+fft
+    Core FFT routines
+polynomial
+    Polynomial tools
+testing
+    NumPy testing tools
+distutils
+    Enhancements to distutils with support for
+    Fortran compilers support and more (for Python <= 3.11)
+
+Utilities
+---------
+test
+    Run numpy unittests
+show_config
+    Show numpy build configuration
+__version__
+    NumPy version string
+
+Viewing documentation using IPython
+-----------------------------------
+
+Start IPython and import `numpy` usually under the alias ``np``: `import
+numpy as np`.  Then, directly past or use the ``%cpaste`` magic to paste
+examples into the shell.  To see which functions are available in `numpy`,
+type ``np.<TAB>`` (where ``<TAB>`` refers to the TAB key), or use
+``np.*cos*?<ENTER>`` (where ``<ENTER>`` refers to the ENTER key) to narrow
+down the list.  To view the docstring for a function, use
+``np.cos?<ENTER>`` (to view the docstring) and ``np.cos??<ENTER>`` (to view
+the source code).
+
+Copies vs. in-place operation
+-----------------------------
+Most of the functions in `numpy` return a copy of the array argument
+(e.g., `np.sort`).  In-place versions of these functions are often
+available as array methods, i.e. ``x = np.array([1,2,3]); x.sort()``.
+Exceptions to this rule are documented.
+
+"""
+import os
+import sys
+import warnings
+
+from ._globals import _NoValue, _CopyMode
+from ._expired_attrs_2_0 import __expired_attributes__
+
+
+# If a version with git hash was stored, use that instead
+from . import version
+from .version import __version__
+
+# We first need to detect if we're being called as part of the numpy setup
+# procedure itself in a reliable manner.
+try:
+    __NUMPY_SETUP__
+except NameError:
+    __NUMPY_SETUP__ = False
+
+if __NUMPY_SETUP__:
+    sys.stderr.write('Running from numpy source directory.\n')
+else:
+    # Allow distributors to run custom init code before importing numpy._core
+    from . import _distributor_init
+
+    try:
+        from numpy.__config__ import show_config
+    except ImportError as e:
+        msg = """Error importing numpy: you should not try to import numpy from
+        its source directory; please exit the numpy source tree, and relaunch
+        your python interpreter from there."""
+        raise ImportError(msg) from e
+
+    from . import _core
+    from ._core import (
+        False_, ScalarType, True_,
+        abs, absolute, acos, acosh, add, all, allclose,
+        amax, amin, any, arange, arccos, arccosh, arcsin, arcsinh,
+        arctan, arctan2, arctanh, argmax, argmin, argpartition, argsort,
+        argwhere, around, array, array2string, array_equal, array_equiv,
+        array_repr, array_str, asanyarray, asarray, ascontiguousarray,
+        asfortranarray, asin, asinh, atan, atanh, atan2, astype, atleast_1d,
+        atleast_2d, atleast_3d, base_repr, binary_repr, bitwise_and,
+        bitwise_count, bitwise_invert, bitwise_left_shift, bitwise_not,
+        bitwise_or, bitwise_right_shift, bitwise_xor, block, bool, bool_,
+        broadcast, busday_count, busday_offset, busdaycalendar, byte, bytes_,
+        can_cast, cbrt, cdouble, ceil, character, choose, clip, clongdouble,
+        complex128, complex64, complexfloating, compress, concat, concatenate,
+        conj, conjugate, convolve, copysign, copyto, correlate, cos, cosh,
+        count_nonzero, cross, csingle, cumprod, cumsum, cumulative_prod,
+        cumulative_sum, datetime64, datetime_as_string, datetime_data,
+        deg2rad, degrees, diagonal, divide, divmod, dot, double, dtype, e,
+        einsum, einsum_path, empty, empty_like, equal, errstate, euler_gamma,
+        exp, exp2, expm1, fabs, finfo, flatiter, flatnonzero, flexible,
+        float16, float32, float64, float_power, floating, floor, floor_divide,
+        fmax, fmin, fmod, format_float_positional, format_float_scientific,
+        frexp, from_dlpack, frombuffer, fromfile, fromfunction, fromiter,
+        frompyfunc, fromstring, full, full_like, gcd, generic, geomspace,
+        get_printoptions, getbufsize, geterr, geterrcall, greater,
+        greater_equal, half, heaviside, hstack, hypot, identity, iinfo,
+        indices, inexact, inf, inner, int16, int32, int64, int8, int_, intc,
+        integer, intp, invert, is_busday, isclose, isdtype, isfinite,
+        isfortran, isinf, isnan, isnat, isscalar, issubdtype, lcm, ldexp,
+        left_shift, less, less_equal, lexsort, linspace, little_endian, log,
+        log10, log1p, log2, logaddexp, logaddexp2, logical_and, logical_not,
+        logical_or, logical_xor, logspace, long, longdouble, longlong, matmul,
+        matvec, matrix_transpose, max, maximum, may_share_memory, mean, memmap,
+        min, min_scalar_type, minimum, mod, modf, moveaxis, multiply, nan,
+        ndarray, ndim, nditer, negative, nested_iters, newaxis, nextafter,
+        nonzero, not_equal, number, object_, ones, ones_like, outer, partition,
+        permute_dims, pi, positive, pow, power, printoptions, prod,
+        promote_types, ptp, put, putmask, rad2deg, radians, ravel, recarray,
+        reciprocal, record, remainder, repeat, require, reshape, resize,
+        result_type, right_shift, rint, roll, rollaxis, round, sctypeDict,
+        searchsorted, set_printoptions, setbufsize, seterr, seterrcall, shape,
+        shares_memory, short, sign, signbit, signedinteger, sin, single, sinh,
+        size, sort, spacing, sqrt, square, squeeze, stack, std,
+        str_, subtract, sum, swapaxes, take, tan, tanh, tensordot,
+        timedelta64, trace, transpose, true_divide, trunc, typecodes, ubyte,
+        ufunc, uint, uint16, uint32, uint64, uint8, uintc, uintp, ulong,
+        ulonglong, unsignedinteger, unstack, ushort, var, vdot, vecdot,
+        vecmat, void, vstack, where, zeros, zeros_like
+    )
+
+    # NOTE: It's still under discussion whether these aliases
+    # should be removed.
+    for ta in ["float96", "float128", "complex192", "complex256"]:
+        try:
+            globals()[ta] = getattr(_core, ta)
+        except AttributeError:
+            pass
+    del ta
+
+    from . import lib
+    from .lib import scimath as emath
+    from .lib._histograms_impl import (
+        histogram, histogram_bin_edges, histogramdd
+    )
+    from .lib._nanfunctions_impl import (
+        nanargmax, nanargmin, nancumprod, nancumsum, nanmax, nanmean,
+        nanmedian, nanmin, nanpercentile, nanprod, nanquantile, nanstd,
+        nansum, nanvar
+    )
+    from .lib._function_base_impl import (
+        select, piecewise, trim_zeros, copy, iterable, percentile, diff,
+        gradient, angle, unwrap, sort_complex, flip, rot90, extract, place,
+        vectorize, asarray_chkfinite, average, bincount, digitize, cov,
+        corrcoef, median, sinc, hamming, hanning, bartlett, blackman,
+        kaiser, trapezoid, trapz, i0, meshgrid, delete, insert, append,
+        interp, quantile
+    )
+    from .lib._twodim_base_impl import (
+        diag, diagflat, eye, fliplr, flipud, tri, triu, tril, vander,
+        histogram2d, mask_indices, tril_indices, tril_indices_from,
+        triu_indices, triu_indices_from
+    )
+    from .lib._shape_base_impl import (
+        apply_over_axes, apply_along_axis, array_split, column_stack, dsplit,
+        dstack, expand_dims, hsplit, kron, put_along_axis, row_stack, split,
+        take_along_axis, tile, vsplit
+    )
+    from .lib._type_check_impl import (
+        iscomplexobj, isrealobj, imag, iscomplex, isreal, nan_to_num, real,
+        real_if_close, typename, mintypecode, common_type
+    )
+    from .lib._arraysetops_impl import (
+        ediff1d, in1d, intersect1d, isin, setdiff1d, setxor1d, union1d,
+        unique, unique_all, unique_counts, unique_inverse, unique_values
+    )
+    from .lib._ufunclike_impl import fix, isneginf, isposinf
+    from .lib._arraypad_impl import pad
+    from .lib._utils_impl import (
+        show_runtime, get_include, info
+    )
+    from .lib._stride_tricks_impl import (
+        broadcast_arrays, broadcast_shapes, broadcast_to
+    )
+    from .lib._polynomial_impl import (
+        poly, polyint, polyder, polyadd, polysub, polymul, polydiv, polyval,
+        polyfit, poly1d, roots
+    )
+    from .lib._npyio_impl import (
+        savetxt, loadtxt, genfromtxt, load, save, savez, packbits,
+        savez_compressed, unpackbits, fromregex
+    )
+    from .lib._index_tricks_impl import (
+        diag_indices_from, diag_indices, fill_diagonal, ndindex, ndenumerate,
+        ix_, c_, r_, s_, ogrid, mgrid, unravel_index, ravel_multi_index,
+        index_exp
+    )
+
+    from . import matrixlib as _mat
+    from .matrixlib import (
+        asmatrix, bmat, matrix
+    )
+
+    # public submodules are imported lazily, therefore are accessible from
+    # __getattr__. Note that `distutils` (deprecated) and `array_api`
+    # (experimental label) are not added here, because `from numpy import *`
+    # must not raise any warnings - that's too disruptive.
+    __numpy_submodules__ = {
+        "linalg", "fft", "dtypes", "random", "polynomial", "ma",
+        "exceptions", "lib", "ctypeslib", "testing", "typing",
+        "f2py", "test", "rec", "char", "core", "strings",
+    }
+
+    # We build warning messages for former attributes
+    _msg = (
+        "module 'numpy' has no attribute '{n}'.\n"
+        "`np.{n}` was a deprecated alias for the builtin `{n}`. "
+        "To avoid this error in existing code, use `{n}` by itself. "
+        "Doing this will not modify any behavior and is safe. {extended_msg}\n"
+        "The aliases was originally deprecated in NumPy 1.20; for more "
+        "details and guidance see the original release note at:\n"
+        "    https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations")
+
+    _specific_msg = (
+        "If you specifically wanted the numpy scalar type, use `np.{}` here.")
+
+    _int_extended_msg = (
+        "When replacing `np.{}`, you may wish to use e.g. `np.int64` "
+        "or `np.int32` to specify the precision. If you wish to review "
+        "your current use, check the release note link for "
+        "additional information.")
+
+    _type_info = [
+        ("object", ""),  # The NumPy scalar only exists by name.
+        ("float", _specific_msg.format("float64")),
+        ("complex", _specific_msg.format("complex128")),
+        ("str", _specific_msg.format("str_")),
+        ("int", _int_extended_msg.format("int"))]
+
+    __former_attrs__ = {
+         n: _msg.format(n=n, extended_msg=extended_msg)
+         for n, extended_msg in _type_info
+     }
+
+
+    # Some of these could be defined right away, but most were aliases to
+    # the Python objects and only removed in NumPy 1.24.  Defining them should
+    # probably wait for NumPy 1.26 or 2.0.
+    # When defined, these should possibly not be added to `__all__` to avoid
+    # import with `from numpy import *`.
+    __future_scalars__ = {"str", "bytes", "object"}
+
+    __array_api_version__ = "2023.12"
+
+    from ._array_api_info import __array_namespace_info__
+
+    # now that numpy core module is imported, can initialize limits
+    _core.getlimits._register_known_types()
+
+    __all__ = list(
+        __numpy_submodules__ |
+        set(_core.__all__) |
+        set(_mat.__all__) |
+        set(lib._histograms_impl.__all__) |
+        set(lib._nanfunctions_impl.__all__) |
+        set(lib._function_base_impl.__all__) |
+        set(lib._twodim_base_impl.__all__) |
+        set(lib._shape_base_impl.__all__) |
+        set(lib._type_check_impl.__all__) |
+        set(lib._arraysetops_impl.__all__) |
+        set(lib._ufunclike_impl.__all__) |
+        set(lib._arraypad_impl.__all__) |
+        set(lib._utils_impl.__all__) |
+        set(lib._stride_tricks_impl.__all__) |
+        set(lib._polynomial_impl.__all__) |
+        set(lib._npyio_impl.__all__) |
+        set(lib._index_tricks_impl.__all__) |
+        {"emath", "show_config", "__version__", "__array_namespace_info__"}
+    )
+
+    # Filter out Cython harmless warnings
+    warnings.filterwarnings("ignore", message="numpy.dtype size changed")
+    warnings.filterwarnings("ignore", message="numpy.ufunc size changed")
+    warnings.filterwarnings("ignore", message="numpy.ndarray size changed")
+
+    def __getattr__(attr):
+        # Warn for expired attributes
+        import warnings
+
+        if attr == "linalg":
+            import numpy.linalg as linalg
+            return linalg
+        elif attr == "fft":
+            import numpy.fft as fft
+            return fft
+        elif attr == "dtypes":
+            import numpy.dtypes as dtypes
+            return dtypes
+        elif attr == "random":
+            import numpy.random as random
+            return random
+        elif attr == "polynomial":
+            import numpy.polynomial as polynomial
+            return polynomial
+        elif attr == "ma":
+            import numpy.ma as ma
+            return ma
+        elif attr == "ctypeslib":
+            import numpy.ctypeslib as ctypeslib
+            return ctypeslib
+        elif attr == "exceptions":
+            import numpy.exceptions as exceptions
+            return exceptions
+        elif attr == "testing":
+            import numpy.testing as testing
+            return testing
+        elif attr == "matlib":
+            import numpy.matlib as matlib
+            return matlib
+        elif attr == "f2py":
+            import numpy.f2py as f2py
+            return f2py
+        elif attr == "typing":
+            import numpy.typing as typing
+            return typing
+        elif attr == "rec":
+            import numpy.rec as rec
+            return rec
+        elif attr == "char":
+            import numpy.char as char
+            return char
+        elif attr == "array_api":
+            raise AttributeError("`numpy.array_api` is not available from "
+                                 "numpy 2.0 onwards", name=None)
+        elif attr == "core":
+            import numpy.core as core
+            return core
+        elif attr == "strings":
+            import numpy.strings as strings
+            return strings
+        elif attr == "distutils":
+            if 'distutils' in __numpy_submodules__:
+                import numpy.distutils as distutils
+                return distutils
+            else:
+                raise AttributeError("`numpy.distutils` is not available from "
+                                     "Python 3.12 onwards", name=None)
+
+        if attr in __future_scalars__:
+            # And future warnings for those that will change, but also give
+            # the AttributeError
+            warnings.warn(
+                f"In the future `np.{attr}` will be defined as the "
+                "corresponding NumPy scalar.", FutureWarning, stacklevel=2)
+
+        if attr in __former_attrs__:
+            raise AttributeError(__former_attrs__[attr], name=None)
+
+        if attr in __expired_attributes__:
+            raise AttributeError(
+                f"`np.{attr}` was removed in the NumPy 2.0 release. "
+                f"{__expired_attributes__[attr]}",
+                name=None
+            )
+
+        if attr == "chararray":
+            warnings.warn(
+                "`np.chararray` is deprecated and will be removed from "
+                "the main namespace in the future. Use an array with a string "
+                "or bytes dtype instead.", DeprecationWarning, stacklevel=2)
+            import numpy.char as char
+            return char.chararray
+
+        raise AttributeError("module {!r} has no attribute "
+                             "{!r}".format(__name__, attr))
+
+    def __dir__():
+        public_symbols = (
+            globals().keys() | __numpy_submodules__
+        )
+        public_symbols -= {
+            "matrixlib", "matlib", "tests", "conftest", "version",
+            "compat", "distutils", "array_api"
+        }
+        return list(public_symbols)
+
+    # Pytest testing
+    from numpy._pytesttester import PytestTester
+    test = PytestTester(__name__)
+    del PytestTester
+
+    def _sanity_check():
+        """
+        Quick sanity checks for common bugs caused by environment.
+        There are some cases e.g. with wrong BLAS ABI that cause wrong
+        results under specific runtime conditions that are not necessarily
+        achieved during test suite runs, and it is useful to catch those early.
+
+        See https://github.com/numpy/numpy/issues/8577 and other
+        similar bug reports.
+
+        """
+        try:
+            x = ones(2, dtype=float32)
+            if not abs(x.dot(x) - float32(2.0)) < 1e-5:
+                raise AssertionError
+        except AssertionError:
+            msg = ("The current Numpy installation ({!r}) fails to "
+                   "pass simple sanity checks. This can be caused for example "
+                   "by incorrect BLAS library being linked in, or by mixing "
+                   "package managers (pip, conda, apt, ...). Search closed "
+                   "numpy issues for similar problems.")
+            raise RuntimeError(msg.format(__file__)) from None
+
+    _sanity_check()
+    del _sanity_check
+
+    def _mac_os_check():
+        """
+        Quick Sanity check for Mac OS look for accelerate build bugs.
+        Testing numpy polyfit calls init_dgelsd(LAPACK)
+        """
+        try:
+            c = array([3., 2., 1.])
+            x = linspace(0, 2, 5)
+            y = polyval(c, x)
+            _ = polyfit(x, y, 2, cov=True)
+        except ValueError:
+            pass
+
+    if sys.platform == "darwin":
+        from . import exceptions
+        with warnings.catch_warnings(record=True) as w:
+            _mac_os_check()
+            # Throw runtime error, if the test failed Check for warning and error_message
+            if len(w) > 0:
+                for _wn in w:
+                    if _wn.category is exceptions.RankWarning:
+                        # Ignore other warnings, they may not be relevant (see gh-25433).
+                        error_message = (
+                            f"{_wn.category.__name__}: {_wn.message}"
+                        )
+                        msg = (
+                            "Polyfit sanity test emitted a warning, most likely due "
+                            "to using a buggy Accelerate backend."
+                            "\nIf you compiled yourself, more information is available at:"
+                            "\nhttps://numpy.org/devdocs/building/index.html"
+                            "\nOtherwise report this to the vendor "
+                            "that provided NumPy.\n\n{}\n".format(error_message))
+                        raise RuntimeError(msg)
+                del _wn
+            del w
+    del _mac_os_check
+
+    def hugepage_setup():
+        """
+        We usually use madvise hugepages support, but on some old kernels it
+        is slow and thus better avoided. Specifically kernel version 4.6
+        had a bug fix which probably fixed this:
+        https://github.com/torvalds/linux/commit/7cf91a98e607c2f935dbcc177d70011e95b8faff
+        """
+        use_hugepage = os.environ.get("NUMPY_MADVISE_HUGEPAGE", None)
+        if sys.platform == "linux" and use_hugepage is None:
+            # If there is an issue with parsing the kernel version,
+            # set use_hugepage to 0. Usage of LooseVersion will handle
+            # the kernel version parsing better, but avoided since it
+            # will increase the import time.
+            # See: #16679 for related discussion.
+            try:
+                use_hugepage = 1
+                kernel_version = os.uname().release.split(".")[:2]
+                kernel_version = tuple(int(v) for v in kernel_version)
+                if kernel_version < (4, 6):
+                    use_hugepage = 0
+            except ValueError:
+                use_hugepage = 0
+        elif use_hugepage is None:
+            # This is not Linux, so it should not matter, just enable anyway
+            use_hugepage = 1
+        else:
+            use_hugepage = int(use_hugepage)
+        return use_hugepage
+
+    # Note that this will currently only make a difference on Linux
+    _core.multiarray._set_madvise_hugepage(hugepage_setup())
+    del hugepage_setup
+
+    # Give a warning if NumPy is reloaded or imported on a sub-interpreter
+    # We do this from python, since the C-module may not be reloaded and
+    # it is tidier organized.
+    _core.multiarray._multiarray_umath._reload_guard()
+
+    # TODO: Remove the environment variable entirely now that it is "weak"
+    if (os.environ.get("NPY_PROMOTION_STATE", "weak") != "weak"):
+        warnings.warn(
+            "NPY_PROMOTION_STATE was a temporary feature for NumPy 2.0 "
+            "transition and is ignored after NumPy 2.2.",
+            UserWarning, stacklevel=2)
+
+    # Tell PyInstaller where to find hook-numpy.py
+    def _pyinstaller_hooks_dir():
+        from pathlib import Path
+        return [str(Path(__file__).with_name("_pyinstaller").resolve())]
+
+
+# Remove symbols imported for internal use
+del os, sys, warnings

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_array_api_info.py

@@ -0,0 +1,346 @@
+"""
+Array API Inspection namespace
+
+This is the namespace for inspection functions as defined by the array API
+standard. See
+https://data-apis.org/array-api/latest/API_specification/inspection.html for
+more details.
+
+"""
+from numpy._core import (
+    dtype,
+    bool,
+    intp,
+    int8,
+    int16,
+    int32,
+    int64,
+    uint8,
+    uint16,
+    uint32,
+    uint64,
+    float32,
+    float64,
+    complex64,
+    complex128,
+)
+
+
+class __array_namespace_info__:
+    """
+    Get the array API inspection namespace for NumPy.
+
+    The array API inspection namespace defines the following functions:
+
+    - capabilities()
+    - default_device()
+    - default_dtypes()
+    - dtypes()
+    - devices()
+
+    See
+    https://data-apis.org/array-api/latest/API_specification/inspection.html
+    for more details.
+
+    Returns
+    -------
+    info : ModuleType
+        The array API inspection namespace for NumPy.
+
+    Examples
+    --------
+    >>> info = np.__array_namespace_info__()
+    >>> info.default_dtypes()
+    {'real floating': numpy.float64,
+     'complex floating': numpy.complex128,
+     'integral': numpy.int64,
+     'indexing': numpy.int64}
+
+    """
+
+    __module__ = 'numpy'
+
+    def capabilities(self):
+        """
+        Return a dictionary of array API library capabilities.
+
+        The resulting dictionary has the following keys:
+
+        - **"boolean indexing"**: boolean indicating whether an array library
+          supports boolean indexing. Always ``True`` for NumPy.
+
+        - **"data-dependent shapes"**: boolean indicating whether an array
+          library supports data-dependent output shapes. Always ``True`` for
+          NumPy.
+
+        See
+        https://data-apis.org/array-api/latest/API_specification/generated/array_api.info.capabilities.html
+        for more details.
+
+        See Also
+        --------
+        __array_namespace_info__.default_device,
+        __array_namespace_info__.default_dtypes,
+        __array_namespace_info__.dtypes,
+        __array_namespace_info__.devices
+
+        Returns
+        -------
+        capabilities : dict
+            A dictionary of array API library capabilities.
+
+        Examples
+        --------
+        >>> info = np.__array_namespace_info__()
+        >>> info.capabilities()
+        {'boolean indexing': True,
+         'data-dependent shapes': True}
+
+        """
+        return {
+            "boolean indexing": True,
+            "data-dependent shapes": True,
+            # 'max rank' will be part of the 2024.12 standard
+            # "max rank": 64,
+        }
+
+    def default_device(self):
+        """
+        The default device used for new NumPy arrays.
+
+        For NumPy, this always returns ``'cpu'``.
+
+        See Also
+        --------
+        __array_namespace_info__.capabilities,
+        __array_namespace_info__.default_dtypes,
+        __array_namespace_info__.dtypes,
+        __array_namespace_info__.devices
+
+        Returns
+        -------
+        device : str
+            The default device used for new NumPy arrays.
+
+        Examples
+        --------
+        >>> info = np.__array_namespace_info__()
+        >>> info.default_device()
+        'cpu'
+
+        """
+        return "cpu"
+
+    def default_dtypes(self, *, device=None):
+        """
+        The default data types used for new NumPy arrays.
+
+        For NumPy, this always returns the following dictionary:
+
+        - **"real floating"**: ``numpy.float64``
+        - **"complex floating"**: ``numpy.complex128``
+        - **"integral"**: ``numpy.intp``
+        - **"indexing"**: ``numpy.intp``
+
+        Parameters
+        ----------
+        device : str, optional
+            The device to get the default data types for. For NumPy, only
+            ``'cpu'`` is allowed.
+
+        Returns
+        -------
+        dtypes : dict
+            A dictionary describing the default data types used for new NumPy
+            arrays.
+
+        See Also
+        --------
+        __array_namespace_info__.capabilities,
+        __array_namespace_info__.default_device,
+        __array_namespace_info__.dtypes,
+        __array_namespace_info__.devices
+
+        Examples
+        --------
+        >>> info = np.__array_namespace_info__()
+        >>> info.default_dtypes()
+        {'real floating': numpy.float64,
+         'complex floating': numpy.complex128,
+         'integral': numpy.int64,
+         'indexing': numpy.int64}
+
+        """
+        if device not in ["cpu", None]:
+            raise ValueError(
+                'Device not understood. Only "cpu" is allowed, but received:'
+                f' {device}'
+            )
+        return {
+            "real floating": dtype(float64),
+            "complex floating": dtype(complex128),
+            "integral": dtype(intp),
+            "indexing": dtype(intp),
+        }
+
+    def dtypes(self, *, device=None, kind=None):
+        """
+        The array API data types supported by NumPy.
+
+        Note that this function only returns data types that are defined by
+        the array API.
+
+        Parameters
+        ----------
+        device : str, optional
+            The device to get the data types for. For NumPy, only ``'cpu'`` is
+            allowed.
+        kind : str or tuple of str, optional
+            The kind of data types to return. If ``None``, all data types are
+            returned. If a string, only data types of that kind are returned.
+            If a tuple, a dictionary containing the union of the given kinds
+            is returned. The following kinds are supported:
+
+            - ``'bool'``: boolean data types (i.e., ``bool``).
+            - ``'signed integer'``: signed integer data types (i.e., ``int8``,
+              ``int16``, ``int32``, ``int64``).
+            - ``'unsigned integer'``: unsigned integer data types (i.e.,
+              ``uint8``, ``uint16``, ``uint32``, ``uint64``).
+            - ``'integral'``: integer data types. Shorthand for ``('signed
+              integer', 'unsigned integer')``.
+            - ``'real floating'``: real-valued floating-point data types
+              (i.e., ``float32``, ``float64``).
+            - ``'complex floating'``: complex floating-point data types (i.e.,
+              ``complex64``, ``complex128``).
+            - ``'numeric'``: numeric data types. Shorthand for ``('integral',
+              'real floating', 'complex floating')``.
+
+        Returns
+        -------
+        dtypes : dict
+            A dictionary mapping the names of data types to the corresponding
+            NumPy data types.
+
+        See Also
+        --------
+        __array_namespace_info__.capabilities,
+        __array_namespace_info__.default_device,
+        __array_namespace_info__.default_dtypes,
+        __array_namespace_info__.devices
+
+        Examples
+        --------
+        >>> info = np.__array_namespace_info__()
+        >>> info.dtypes(kind='signed integer')
+        {'int8': numpy.int8,
+         'int16': numpy.int16,
+         'int32': numpy.int32,
+         'int64': numpy.int64}
+
+        """
+        if device not in ["cpu", None]:
+            raise ValueError(
+                'Device not understood. Only "cpu" is allowed, but received:'
+                f' {device}'
+            )
+        if kind is None:
+            return {
+                "bool": dtype(bool),
+                "int8": dtype(int8),
+                "int16": dtype(int16),
+                "int32": dtype(int32),
+                "int64": dtype(int64),
+                "uint8": dtype(uint8),
+                "uint16": dtype(uint16),
+                "uint32": dtype(uint32),
+                "uint64": dtype(uint64),
+                "float32": dtype(float32),
+                "float64": dtype(float64),
+                "complex64": dtype(complex64),
+                "complex128": dtype(complex128),
+            }
+        if kind == "bool":
+            return {"bool": bool}
+        if kind == "signed integer":
+            return {
+                "int8": dtype(int8),
+                "int16": dtype(int16),
+                "int32": dtype(int32),
+                "int64": dtype(int64),
+            }
+        if kind == "unsigned integer":
+            return {
+                "uint8": dtype(uint8),
+                "uint16": dtype(uint16),
+                "uint32": dtype(uint32),
+                "uint64": dtype(uint64),
+            }
+        if kind == "integral":
+            return {
+                "int8": dtype(int8),
+                "int16": dtype(int16),
+                "int32": dtype(int32),
+                "int64": dtype(int64),
+                "uint8": dtype(uint8),
+                "uint16": dtype(uint16),
+                "uint32": dtype(uint32),
+                "uint64": dtype(uint64),
+            }
+        if kind == "real floating":
+            return {
+                "float32": dtype(float32),
+                "float64": dtype(float64),
+            }
+        if kind == "complex floating":
+            return {
+                "complex64": dtype(complex64),
+                "complex128": dtype(complex128),
+            }
+        if kind == "numeric":
+            return {
+                "int8": dtype(int8),
+                "int16": dtype(int16),
+                "int32": dtype(int32),
+                "int64": dtype(int64),
+                "uint8": dtype(uint8),
+                "uint16": dtype(uint16),
+                "uint32": dtype(uint32),
+                "uint64": dtype(uint64),
+                "float32": dtype(float32),
+                "float64": dtype(float64),
+                "complex64": dtype(complex64),
+                "complex128": dtype(complex128),
+            }
+        if isinstance(kind, tuple):
+            res = {}
+            for k in kind:
+                res.update(self.dtypes(kind=k))
+            return res
+        raise ValueError(f"unsupported kind: {kind!r}")
+
+    def devices(self):
+        """
+        The devices supported by NumPy.
+
+        For NumPy, this always returns ``['cpu']``.
+
+        Returns
+        -------
+        devices : list of str
+            The devices supported by NumPy.
+
+        See Also
+        --------
+        __array_namespace_info__.capabilities,
+        __array_namespace_info__.default_device,
+        __array_namespace_info__.default_dtypes,
+        __array_namespace_info__.dtypes
+
+        Examples
+        --------
+        >>> info = np.__array_namespace_info__()
+        >>> info.devices()
+        ['cpu']
+
+        """
+        return ["cpu"]

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_array_api_info.pyi

@@ -0,0 +1,210 @@
+from typing import (
+    ClassVar,
+    Literal,
+    TypeAlias,
+    TypedDict,
+    TypeVar,
+    final,
+    overload,
+    type_check_only,
+)
+from typing_extensions import Never
+
+import numpy as np
+
+
+_Device: TypeAlias = Literal["cpu"]
+_DeviceLike: TypeAlias = None | _Device
+
+_Capabilities = TypedDict(
+    "_Capabilities",
+    {
+        "boolean indexing": Literal[True],
+        "data-dependent shapes": Literal[True],
+    },
+)
+
+_DefaultDTypes = TypedDict(
+    "_DefaultDTypes",
+    {
+        "real floating": np.dtype[np.float64],
+        "complex floating": np.dtype[np.complex128],
+        "integral": np.dtype[np.intp],
+        "indexing": np.dtype[np.intp],
+    },
+)
+
+
+_KindBool: TypeAlias = Literal["bool"]
+_KindInt: TypeAlias = Literal["signed integer"]
+_KindUInt: TypeAlias = Literal["unsigned integer"]
+_KindInteger: TypeAlias = Literal["integral"]
+_KindFloat: TypeAlias = Literal["real floating"]
+_KindComplex: TypeAlias = Literal["complex floating"]
+_KindNumber: TypeAlias = Literal["numeric"]
+_Kind: TypeAlias = (
+    _KindBool
+    | _KindInt
+    | _KindUInt
+    | _KindInteger
+    | _KindFloat
+    | _KindComplex
+    | _KindNumber
+)
+
+
+_T1 = TypeVar("_T1")
+_T2 = TypeVar("_T2")
+_T3 = TypeVar("_T3")
+_Permute1: TypeAlias = _T1 | tuple[_T1]
+_Permute2: TypeAlias = tuple[_T1, _T2] | tuple[_T2, _T1]
+_Permute3: TypeAlias = (
+    tuple[_T1, _T2, _T3] | tuple[_T1, _T3, _T2]
+    | tuple[_T2, _T1, _T3] | tuple[_T2, _T3, _T1]
+    | tuple[_T3, _T1, _T2] | tuple[_T3, _T2, _T1]
+)
+
+@type_check_only
+class _DTypesBool(TypedDict):
+    bool: np.dtype[np.bool]
+
+@type_check_only
+class _DTypesInt(TypedDict):
+    int8: np.dtype[np.int8]
+    int16: np.dtype[np.int16]
+    int32: np.dtype[np.int32]
+    int64: np.dtype[np.int64]
+
+@type_check_only
+class _DTypesUInt(TypedDict):
+    uint8: np.dtype[np.uint8]
+    uint16: np.dtype[np.uint16]
+    uint32: np.dtype[np.uint32]
+    uint64: np.dtype[np.uint64]
+
+@type_check_only
+class _DTypesInteger(_DTypesInt, _DTypesUInt): ...
+
+@type_check_only
+class _DTypesFloat(TypedDict):
+    float32: np.dtype[np.float32]
+    float64: np.dtype[np.float64]
+
+@type_check_only
+class _DTypesComplex(TypedDict):
+    complex64: np.dtype[np.complex64]
+    complex128: np.dtype[np.complex128]
+
+@type_check_only
+class _DTypesNumber(_DTypesInteger, _DTypesFloat, _DTypesComplex): ...
+
+@type_check_only
+class _DTypes(_DTypesBool, _DTypesNumber): ...
+
+@type_check_only
+class _DTypesUnion(TypedDict, total=False):
+    bool: np.dtype[np.bool]
+    int8: np.dtype[np.int8]
+    int16: np.dtype[np.int16]
+    int32: np.dtype[np.int32]
+    int64: np.dtype[np.int64]
+    uint8: np.dtype[np.uint8]
+    uint16: np.dtype[np.uint16]
+    uint32: np.dtype[np.uint32]
+    uint64: np.dtype[np.uint64]
+    float32: np.dtype[np.float32]
+    float64: np.dtype[np.float64]
+    complex64: np.dtype[np.complex64]
+    complex128: np.dtype[np.complex128]
+
+_EmptyDict: TypeAlias = dict[Never, Never]
+
+@final
+class __array_namespace_info__:
+    __module__: ClassVar[Literal['numpy']]
+
+    def capabilities(self) -> _Capabilities: ...
+    def default_device(self) -> _Device: ...
+    def default_dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+    ) -> _DefaultDTypes: ...
+    def devices(self) -> list[_Device]: ...
+
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: None = ...,
+    ) -> _DTypes: ...
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: _Permute1[_KindBool],
+    ) -> _DTypesBool: ...
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: _Permute1[_KindInt],
+    ) -> _DTypesInt: ...
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: _Permute1[_KindUInt],
+    ) -> _DTypesUInt: ...
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: _Permute1[_KindFloat],
+    ) -> _DTypesFloat: ...
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: _Permute1[_KindComplex],
+    ) -> _DTypesComplex: ...
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: (
+            _Permute1[_KindInteger]
+            | _Permute2[_KindInt, _KindUInt]
+        ),
+    ) -> _DTypesInteger: ...
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: (
+            _Permute1[_KindNumber]
+            | _Permute3[_KindInteger, _KindFloat, _KindComplex]
+        ),
+    ) -> _DTypesNumber: ...
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: tuple[()],
+    ) -> _EmptyDict: ...
+    @overload
+    def dtypes(
+        self,
+        *,
+        device: _DeviceLike = ...,
+        kind: tuple[_Kind, ...],
+    ) -> _DTypesUnion: ...

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_configtool.py

@@ -0,0 +1,39 @@
+import argparse
+from pathlib import Path
+import sys
+
+from .version import __version__
+from .lib._utils_impl import get_include
+
+
+def main() -> None:
+    parser = argparse.ArgumentParser()
+    parser.add_argument(
+        "--version",
+        action="version",
+        version=__version__,
+        help="Print the version and exit.",
+    )
+    parser.add_argument(
+        "--cflags",
+        action="store_true",
+        help="Compile flag needed when using the NumPy headers.",
+    )
+    parser.add_argument(
+        "--pkgconfigdir",
+        action="store_true",
+        help=("Print the pkgconfig directory in which `numpy.pc` is stored "
+              "(useful for setting $PKG_CONFIG_PATH)."),
+    )
+    args = parser.parse_args()
+    if not sys.argv[1:]:
+        parser.print_help()
+    if args.cflags:
+        print("-I" + get_include())
+    if args.pkgconfigdir:
+        _path = Path(get_include()) / '..' / 'lib' / 'pkgconfig'
+        print(_path.resolve())
+
+
+if __name__ == "__main__":
+    main()

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_configtool.pyi

@@ -0,0 +1 @@
+def main() -> None: ...

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_distributor_init.py

@@ -0,0 +1,15 @@
+""" Distributor init file
+
+Distributors: you can add custom code here to support particular distributions
+of numpy.
+
+For example, this is a good place to put any BLAS/LAPACK initialization code.
+
+The numpy standard source distribution will not put code in this file, so you
+can safely replace this file with your own version.
+"""
+
+try:
+    from . import _distributor_init_local
+except ImportError:
+    pass

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_distributor_init.pyi

@@ -0,0 +1 @@
+# intentionally left blank

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_expired_attrs_2_0.py

@@ -0,0 +1,80 @@
+"""
+Dict of expired attributes that are discontinued since 2.0 release.
+Each item is associated with a migration note.
+"""
+
+__expired_attributes__ = {
+    "geterrobj": "Use the np.errstate context manager instead.",
+    "seterrobj": "Use the np.errstate context manager instead.",
+    "cast": "Use `np.asarray(arr, dtype=dtype)` instead.",
+    "source": "Use `inspect.getsource` instead.",
+    "lookfor":  "Search NumPy's documentation directly.",
+    "who": "Use an IDE variable explorer or `locals()` instead.",
+    "fastCopyAndTranspose": "Use `arr.T.copy()` instead.",
+    "set_numeric_ops":
+        "For the general case, use `PyUFunc_ReplaceLoopBySignature`. "
+        "For ndarray subclasses, define the ``__array_ufunc__`` method "
+        "and override the relevant ufunc.",
+    "NINF": "Use `-np.inf` instead.",
+    "PINF": "Use `np.inf` instead.",
+    "NZERO": "Use `-0.0` instead.",
+    "PZERO": "Use `0.0` instead.",
+    "add_newdoc":
+        "It's still available as `np.lib.add_newdoc`.",
+    "add_docstring":
+        "It's still available as `np.lib.add_docstring`.",
+    "add_newdoc_ufunc":
+        "It's an internal function and doesn't have a replacement.",
+    "compat": "There's no replacement, as Python 2 is no longer supported.",
+    "safe_eval": "Use `ast.literal_eval` instead.",
+    "float_": "Use `np.float64` instead.",
+    "complex_": "Use `np.complex128` instead.",
+    "longfloat": "Use `np.longdouble` instead.",
+    "singlecomplex": "Use `np.complex64` instead.",
+    "cfloat": "Use `np.complex128` instead.",
+    "longcomplex": "Use `np.clongdouble` instead.",
+    "clongfloat": "Use `np.clongdouble` instead.",
+    "string_": "Use `np.bytes_` instead.",
+    "unicode_": "Use `np.str_` instead.",
+    "Inf": "Use `np.inf` instead.",
+    "Infinity": "Use `np.inf` instead.",
+    "NaN": "Use `np.nan` instead.",
+    "infty": "Use `np.inf` instead.",
+    "issctype": "Use `issubclass(rep, np.generic)` instead.",
+    "maximum_sctype":
+        "Use a specific dtype instead. You should avoid relying "
+        "on any implicit mechanism and select the largest dtype of "
+        "a kind explicitly in the code.",
+    "obj2sctype": "Use `np.dtype(obj).type` instead.",
+    "sctype2char": "Use `np.dtype(obj).char` instead.",
+    "sctypes": "Access dtypes explicitly instead.",
+    "issubsctype": "Use `np.issubdtype` instead.",
+    "set_string_function":
+        "Use `np.set_printoptions` instead with a formatter for "
+        "custom printing of NumPy objects.",
+    "asfarray": "Use `np.asarray` with a proper dtype instead.",
+    "issubclass_": "Use `issubclass` builtin instead.",
+    "tracemalloc_domain": "It's now available from `np.lib`.",
+    "mat": "Use `np.asmatrix` instead.",
+    "recfromcsv": "Use `np.genfromtxt` with comma delimiter instead.",
+    "recfromtxt": "Use `np.genfromtxt` instead.",
+    "deprecate": "Emit `DeprecationWarning` with `warnings.warn` directly, "
+        "or use `typing.deprecated`.",
+    "deprecate_with_doc": "Emit `DeprecationWarning` with `warnings.warn` "
+        "directly, or use `typing.deprecated`.",
+    "disp": "Use your own printing function instead.",
+    "find_common_type":
+        "Use `numpy.promote_types` or `numpy.result_type` instead. "
+        "To achieve semantics for the `scalar_types` argument, use "
+        "`numpy.result_type` and pass the Python values `0`, `0.0`, or `0j`.",
+    "round_": "Use `np.round` instead.",
+    "get_array_wrap": "",
+    "DataSource": "It's still available as `np.lib.npyio.DataSource`.",
+    "nbytes": "Use `np.dtype(<dtype>).itemsize` instead.",
+    "byte_bounds": "Now it's available under `np.lib.array_utils.byte_bounds`",
+    "compare_chararrays":
+        "It's still available as `np.char.compare_chararrays`.",
+    "format_parser": "It's still available as `np.rec.format_parser`.",
+    "alltrue": "Use `np.all` instead.",
+    "sometrue": "Use `np.any` instead.",
+}

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_expired_attrs_2_0.pyi

@@ -0,0 +1,63 @@
+from typing import Final, TypedDict, final, type_check_only
+
+@final
+@type_check_only
+class _ExpiredAttributesType(TypedDict):
+    geterrobj: str
+    seterrobj: str
+    cast: str
+    source: str
+    lookfor: str
+    who: str
+    fastCopyAndTranspose: str
+    set_numeric_ops: str
+    NINF: str
+    PINF: str
+    NZERO: str
+    PZERO: str
+    add_newdoc: str
+    add_docstring: str
+    add_newdoc_ufunc: str
+    compat: str
+    safe_eval: str
+    float_: str
+    complex_: str
+    longfloat: str
+    singlecomplex: str
+    cfloat: str
+    longcomplex: str
+    clongfloat: str
+    string_: str
+    unicode_: str
+    Inf: str
+    Infinity: str
+    NaN: str
+    infty: str
+    issctype: str
+    maximum_sctype: str
+    obj2sctype: str
+    sctype2char: str
+    sctypes: str
+    issubsctype: str
+    set_string_function: str
+    asfarray: str
+    issubclass_: str
+    tracemalloc_domain: str
+    mat: str
+    recfromcsv: str
+    recfromtxt: str
+    deprecate: str
+    deprecate_with_doc: str
+    disp: str
+    find_common_type: str
+    round_: str
+    get_array_wrap: str
+    DataSource: str
+    nbytes: str
+    byte_bounds: str
+    compare_chararrays: str
+    format_parser: str
+    alltrue: str
+    sometrue: str
+
+__expired_attributes__: Final[_ExpiredAttributesType] = ...

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_globals.py

@@ -0,0 +1,95 @@
+"""
+Module defining global singleton classes.
+
+This module raises a RuntimeError if an attempt to reload it is made. In that
+way the identities of the classes defined here are fixed and will remain so
+even if numpy itself is reloaded. In particular, a function like the following
+will still work correctly after numpy is reloaded::
+
+    def foo(arg=np._NoValue):
+        if arg is np._NoValue:
+            ...
+
+That was not the case when the singleton classes were defined in the numpy
+``__init__.py`` file. See gh-7844 for a discussion of the reload problem that
+motivated this module.
+
+"""
+import enum
+
+from ._utils import set_module as _set_module
+
+__all__ = ['_NoValue', '_CopyMode']
+
+
+# Disallow reloading this module so as to preserve the identities of the
+# classes defined here.
+if '_is_loaded' in globals():
+    raise RuntimeError('Reloading numpy._globals is not allowed')
+_is_loaded = True
+
+
+class _NoValueType:
+    """Special keyword value.
+
+    The instance of this class may be used as the default value assigned to a
+    keyword if no other obvious default (e.g., `None`) is suitable,
+
+    Common reasons for using this keyword are:
+
+    - A new keyword is added to a function, and that function forwards its
+      inputs to another function or method which can be defined outside of
+      NumPy. For example, ``np.std(x)`` calls ``x.std``, so when a ``keepdims``
+      keyword was added that could only be forwarded if the user explicitly
+      specified ``keepdims``; downstream array libraries may not have added
+      the same keyword, so adding ``x.std(..., keepdims=keepdims)``
+      unconditionally could have broken previously working code.
+    - A keyword is being deprecated, and a deprecation warning must only be
+      emitted when the keyword is used.
+
+    """
+    __instance = None
+    def __new__(cls):
+        # ensure that only one instance exists
+        if not cls.__instance:
+            cls.__instance = super().__new__(cls)
+        return cls.__instance
+
+    def __repr__(self):
+        return "<no value>"
+
+
+_NoValue = _NoValueType()
+
+
+@_set_module("numpy")
+class _CopyMode(enum.Enum):
+    """
+    An enumeration for the copy modes supported
+    by numpy.copy() and numpy.array(). The following three modes are supported,
+
+    - ALWAYS: This means that a deep copy of the input
+              array will always be taken.
+    - IF_NEEDED: This means that a deep copy of the input
+                 array will be taken only if necessary.
+    - NEVER: This means that the deep copy will never be taken.
+             If a copy cannot be avoided then a `ValueError` will be
+             raised.
+
+    Note that the buffer-protocol could in theory do copies.  NumPy currently
+    assumes an object exporting the buffer protocol will never do this.
+    """
+
+    ALWAYS = True
+    NEVER = False
+    IF_NEEDED = 2
+
+    def __bool__(self):
+        # For backwards compatibility
+        if self == _CopyMode.ALWAYS:
+            return True
+
+        if self == _CopyMode.NEVER:
+            return False
+
+        raise ValueError(f"{self} is neither True nor False.")

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_globals.pyi

@@ -0,0 +1,17 @@
+__all__ = ["_CopyMode", "_NoValue"]
+
+import enum
+from typing import Final, final
+
+@final
+class _CopyMode(enum.Enum):
+    ALWAYS = True
+    NEVER = False
+    IF_NEEDED = 2
+
+    def __bool__(self, /) -> bool: ...
+
+@final
+class _NoValueType: ...
+
+_NoValue: Final[_NoValueType] = ...

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_pyinstaller/hook-numpy.py

@@ -0,0 +1,36 @@
+"""This hook should collect all binary files and any hidden modules that numpy
+needs.
+
+Our (some-what inadequate) docs for writing PyInstaller hooks are kept here:
+https://pyinstaller.readthedocs.io/en/stable/hooks.html
+
+"""
+from PyInstaller.compat import is_conda, is_pure_conda
+from PyInstaller.utils.hooks import collect_dynamic_libs, is_module_satisfies
+
+# Collect all DLLs inside numpy's installation folder, dump them into built
+# app's root.
+binaries = collect_dynamic_libs("numpy", ".")
+
+# If using Conda without any non-conda virtual environment manager:
+if is_pure_conda:
+    # Assume running the NumPy from Conda-forge and collect it's DLLs from the
+    # communal Conda bin directory. DLLs from NumPy's dependencies must also be
+    # collected to capture MKL, OpenBlas, OpenMP, etc.
+    from PyInstaller.utils.hooks import conda_support
+    datas = conda_support.collect_dynamic_libs("numpy", dependencies=True)
+
+# Submodules PyInstaller cannot detect.  `_dtype_ctypes` is only imported
+# from C and `_multiarray_tests` is used in tests (which are not packed).
+hiddenimports = ['numpy._core._dtype_ctypes', 'numpy._core._multiarray_tests']
+
+# Remove testing and building code and packages that are referenced throughout
+# NumPy but are not really dependencies.
+excludedimports = [
+    "scipy",
+    "pytest",
+    "f2py",
+    "setuptools",
+    "distutils",
+    "numpy.distutils",
+]

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_pyinstaller/hook-numpy.pyi

@@ -0,0 +1,13 @@
+from typing import Final
+
+# from `PyInstaller.compat`
+is_conda: Final[bool]
+is_pure_conda: Final[bool]
+
+# from `PyInstaller.utils.hooks`
+def is_module_satisfies(requirements: str, version: None = None, version_attr: None = None) -> bool: ...
+
+binaries: Final[list[tuple[str, str]]]
+
+hiddenimports: Final[list[str]]
+excludedimports: Final[list[str]]

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_pyinstaller/tests/__init__.py

@@ -0,0 +1,16 @@
+from numpy.testing import IS_WASM, IS_EDITABLE
+import pytest
+
+
+if IS_WASM:
+    pytest.skip(
+        "WASM/Pyodide does not use or support Fortran",
+        allow_module_level=True
+    )
+
+
+if IS_EDITABLE:
+    pytest.skip(
+        "Editable install doesn't support tests with a compile step",
+        allow_module_level=True
+    )

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_pyinstaller/tests/pyinstaller-smoke.py

@@ -0,0 +1,32 @@
+"""A crude *bit of everything* smoke test to verify PyInstaller compatibility.
+
+PyInstaller typically goes wrong by forgetting to package modules, extension
+modules or shared libraries. This script should aim to touch as many of those
+as possible in an attempt to trip a ModuleNotFoundError or a DLL load failure
+due to an uncollected resource. Missing resources are unlikely to lead to
+arithmetic errors so there's generally no need to verify any calculation's
+output - merely that it made it to the end OK. This script should not
+explicitly import any of numpy's submodules as that gives PyInstaller undue
+hints that those submodules exist and should be collected (accessing implicitly
+loaded submodules is OK).
+
+"""
+import numpy as np
+
+a = np.arange(1., 10.).reshape((3, 3)) % 5
+np.linalg.det(a)
+a @ a
+a @ a.T
+np.linalg.inv(a)
+np.sin(np.exp(a))
+np.linalg.svd(a)
+np.linalg.eigh(a)
+
+np.unique(np.random.randint(0, 10, 100))
+np.sort(np.random.uniform(0, 10, 100))
+
+np.fft.fft(np.exp(2j * np.pi * np.arange(8) / 8))
+np.ma.masked_array(np.arange(10), np.random.rand(10) < .5).sum()
+np.polynomial.Legendre([7, 8, 9]).roots()
+
+print("I made it!")

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_pyinstaller/tests/test_pyinstaller.py

@@ -0,0 +1,35 @@
+import subprocess
+from pathlib import Path
+
+import pytest
+
+
+# PyInstaller has been very unproactive about replacing 'imp' with 'importlib'.
+@pytest.mark.filterwarnings('ignore::DeprecationWarning')
+# It also leaks io.BytesIO()s.
+@pytest.mark.filterwarnings('ignore::ResourceWarning')
+@pytest.mark.parametrize("mode", ["--onedir", "--onefile"])
+@pytest.mark.slow
+def test_pyinstaller(mode, tmp_path):
+    """Compile and run pyinstaller-smoke.py using PyInstaller."""
+
+    pyinstaller_cli = pytest.importorskip("PyInstaller.__main__").run
+
+    source = Path(__file__).with_name("pyinstaller-smoke.py").resolve()
+    args = [
+        # Place all generated files in ``tmp_path``.
+        '--workpath', str(tmp_path / "build"),
+        '--distpath', str(tmp_path / "dist"),
+        '--specpath', str(tmp_path),
+        mode,
+        str(source),
+    ]
+    pyinstaller_cli(args)
+
+    if mode == "--onefile":
+        exe = tmp_path / "dist" / source.stem
+    else:
+        exe = tmp_path / "dist" / source.stem / source.stem
+
+    p = subprocess.run([str(exe)], check=True, stdout=subprocess.PIPE)
+    assert p.stdout.strip() == b"I made it!"

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_pytesttester.py

@@ -0,0 +1,200 @@
+"""
+Pytest test running.
+
+This module implements the ``test()`` function for NumPy modules. The usual
+boiler plate for doing that is to put the following in the module
+``__init__.py`` file::
+
+    from numpy._pytesttester import PytestTester
+    test = PytestTester(__name__)
+    del PytestTester
+
+
+Warnings filtering and other runtime settings should be dealt with in the
+``pytest.ini`` file in the numpy repo root. The behavior of the test depends on
+whether or not that file is found as follows:
+
+* ``pytest.ini`` is present (develop mode)
+    All warnings except those explicitly filtered out are raised as error.
+* ``pytest.ini`` is absent (release mode)
+    DeprecationWarnings and PendingDeprecationWarnings are ignored, other
+    warnings are passed through.
+
+In practice, tests run from the numpy repo are run in development mode with
+``spin``, through the standard ``spin test`` invocation or from an inplace
+build with ``pytest numpy``.
+
+This module is imported by every numpy subpackage, so lies at the top level to
+simplify circular import issues. For the same reason, it contains no numpy
+imports at module scope, instead importing numpy within function calls.
+"""
+import sys
+import os
+
+__all__ = ['PytestTester']
+
+
+def _show_numpy_info():
+    import numpy as np
+
+    print("NumPy version %s" % np.__version__)
+    info = np.lib._utils_impl._opt_info()
+    print("NumPy CPU features: ", (info if info else 'nothing enabled'))
+
+
+class PytestTester:
+    """
+    Pytest test runner.
+
+    A test function is typically added to a package's __init__.py like so::
+
+      from numpy._pytesttester import PytestTester
+      test = PytestTester(__name__).test
+      del PytestTester
+
+    Calling this test function finds and runs all tests associated with the
+    module and all its sub-modules.
+
+    Attributes
+    ----------
+    module_name : str
+        Full path to the package to test.
+
+    Parameters
+    ----------
+    module_name : module name
+        The name of the module to test.
+
+    Notes
+    -----
+    Unlike the previous ``nose``-based implementation, this class is not
+    publicly exposed as it performs some ``numpy``-specific warning
+    suppression.
+
+    """
+    def __init__(self, module_name):
+        self.module_name = module_name
+        self.__module__ = module_name
+
+    def __call__(self, label='fast', verbose=1, extra_argv=None,
+                 doctests=False, coverage=False, durations=-1, tests=None):
+        """
+        Run tests for module using pytest.
+
+        Parameters
+        ----------
+        label : {'fast', 'full'}, optional
+            Identifies the tests to run. When set to 'fast', tests decorated
+            with `pytest.mark.slow` are skipped, when 'full', the slow marker
+            is ignored.
+        verbose : int, optional
+            Verbosity value for test outputs, in the range 1-3. Default is 1.
+        extra_argv : list, optional
+            List with any extra arguments to pass to pytests.
+        doctests : bool, optional
+            .. note:: Not supported
+        coverage : bool, optional
+            If True, report coverage of NumPy code. Default is False.
+            Requires installation of (pip) pytest-cov.
+        durations : int, optional
+            If < 0, do nothing, If 0, report time of all tests, if > 0,
+            report the time of the slowest `timer` tests. Default is -1.
+        tests : test or list of tests
+            Tests to be executed with pytest '--pyargs'
+
+        Returns
+        -------
+        result : bool
+            Return True on success, false otherwise.
+
+        Notes
+        -----
+        Each NumPy module exposes `test` in its namespace to run all tests for
+        it. For example, to run all tests for numpy.lib:
+
+        >>> np.lib.test() #doctest: +SKIP
+
+        Examples
+        --------
+        >>> result = np.lib.test() #doctest: +SKIP
+        ...
+        1023 passed, 2 skipped, 6 deselected, 1 xfailed in 10.39 seconds
+        >>> result
+        True
+
+        """
+        import pytest
+        import warnings
+
+        module = sys.modules[self.module_name]
+        module_path = os.path.abspath(module.__path__[0])
+
+        # setup the pytest arguments
+        pytest_args = ["-l"]
+
+        # offset verbosity. The "-q" cancels a "-v".
+        pytest_args += ["-q"]
+
+        if sys.version_info < (3, 12):
+            with warnings.catch_warnings():
+                warnings.simplefilter("always")
+                # Filter out distutils cpu warnings (could be localized to
+                # distutils tests). ASV has problems with top level import,
+                # so fetch module for suppression here.
+                from numpy.distutils import cpuinfo
+
+        # Filter out annoying import messages. Want these in both develop and
+        # release mode.
+        pytest_args += [
+            "-W ignore:Not importing directory",
+            "-W ignore:numpy.dtype size changed",
+            "-W ignore:numpy.ufunc size changed",
+            "-W ignore::UserWarning:cpuinfo",
+            ]
+
+        # When testing matrices, ignore their PendingDeprecationWarnings
+        pytest_args += [
+            "-W ignore:the matrix subclass is not",
+            "-W ignore:Importing from numpy.matlib is",
+            ]
+
+        if doctests:
+            pytest_args += ["--doctest-modules"]
+
+        if extra_argv:
+            pytest_args += list(extra_argv)
+
+        if verbose > 1:
+            pytest_args += ["-" + "v"*(verbose - 1)]
+
+        if coverage:
+            pytest_args += ["--cov=" + module_path]
+
+        if label == "fast":
+            # not importing at the top level to avoid circular import of module
+            from numpy.testing import IS_PYPY
+            if IS_PYPY:
+                pytest_args += ["-m", "not slow and not slow_pypy"]
+            else:
+                pytest_args += ["-m", "not slow"]
+
+        elif label != "full":
+            pytest_args += ["-m", label]
+
+        if durations >= 0:
+            pytest_args += ["--durations=%s" % durations]
+
+        if tests is None:
+            tests = [self.module_name]
+
+        pytest_args += ["--pyargs"] + list(tests)
+
+        # run tests.
+        _show_numpy_info()
+
+        try:
+            code = pytest.main(pytest_args)
+        except SystemExit as exc:
+            code = exc.code
+
+        return code == 0

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_pytesttester.pyi

@@ -0,0 +1,18 @@
+from collections.abc import Iterable
+from typing import Literal as L
+
+__all__ = ["PytestTester"]
+
+class PytestTester:
+    module_name: str
+    def __init__(self, module_name: str) -> None: ...
+    def __call__(
+        self,
+        label: L["fast", "full"] = ...,
+        verbose: int = ...,
+        extra_argv: None | Iterable[str] = ...,
+        doctests: L[False] = ...,
+        coverage: bool = ...,
+        durations: int = ...,
+        tests: None | Iterable[str] = ...,
+    ) -> bool: ...

Scripts_Climate_to_LAI/.venv/lib/python3.10/site-packages/numpy/_typing/__init__.py

@@ -0,0 +1,154 @@
+"""Private counterpart of ``numpy.typing``."""
+
+from __future__ import annotations
+
+from ._nested_sequence import (
+    _NestedSequence as _NestedSequence,
+)
+from ._nbit_base import (
+    NBitBase as NBitBase,
+    _8Bit as _8Bit,
+    _16Bit as _16Bit,
+    _32Bit as _32Bit,
+    _64Bit as _64Bit,
+    _80Bit as _80Bit,
+    _96Bit as _96Bit,
+    _128Bit as _128Bit,
+    _256Bit as _256Bit,
+)
+from ._nbit import (
+    _NBitByte as _NBitByte,
+    _NBitShort as _NBitShort,
+    _NBitIntC as _NBitIntC,
+    _NBitIntP as _NBitIntP,
+    _NBitInt as _NBitInt,
+    _NBitLong as _NBitLong,
+    _NBitLongLong as _NBitLongLong,
+    _NBitHalf as _NBitHalf,
+    _NBitSingle as _NBitSingle,
+    _NBitDouble as _NBitDouble,
+    _NBitLongDouble as _NBitLongDouble,
+)
+from ._char_codes import (
+    _BoolCodes as _BoolCodes,
+    _UInt8Codes as _UInt8Codes,
+    _UInt16Codes as _UInt16Codes,
+    _UInt32Codes as _UInt32Codes,
+    _UInt64Codes as _UInt64Codes,
+    _Int8Codes as _Int8Codes,
+    _Int16Codes as _Int16Codes,
+    _Int32Codes as _Int32Codes,
+    _Int64Codes as _Int64Codes,
+    _Float16Codes as _Float16Codes,
+    _Float32Codes as _Float32Codes,
+    _Float64Codes as _Float64Codes,
+    _Complex64Codes as _Complex64Codes,
+    _Complex128Codes as _Complex128Codes,
+    _ByteCodes as _ByteCodes,
+    _ShortCodes as _ShortCodes,
+    _IntCCodes as _IntCCodes,
+    _IntPCodes as _IntPCodes,
+    _IntCodes as _IntCodes,
+    _LongCodes as _LongCodes,
+    _LongLongCodes as _LongLongCodes,
+    _UByteCodes as _UByteCodes,
+    _UShortCodes as _UShortCodes,
+    _UIntCCodes as _UIntCCodes,
+    _UIntPCodes as _UIntPCodes,
+    _UIntCodes as _UIntCodes,
+    _ULongCodes as _ULongCodes,
+    _ULongLongCodes as _ULongLongCodes,
+    _HalfCodes as _HalfCodes,
+    _SingleCodes as _SingleCodes,
+    _DoubleCodes as _DoubleCodes,
+    _LongDoubleCodes as _LongDoubleCodes,
+    _CSingleCodes as _CSingleCodes,
+    _CDoubleCodes as _CDoubleCodes,
+    _CLongDoubleCodes as _CLongDoubleCodes,
+    _DT64Codes as _DT64Codes,
+    _TD64Codes as _TD64Codes,
+    _StrCodes as _StrCodes,
+    _BytesCodes as _BytesCodes,
+    _VoidCodes as _VoidCodes,
+    _ObjectCodes as _ObjectCodes,
+    _StringCodes as _StringCodes,
+    _UnsignedIntegerCodes as _UnsignedIntegerCodes,
+    _SignedIntegerCodes as _SignedIntegerCodes,
+    _IntegerCodes as _IntegerCodes,
+    _FloatingCodes as _FloatingCodes,
+    _ComplexFloatingCodes as _ComplexFloatingCodes,
+    _InexactCodes as _InexactCodes,
+    _NumberCodes as _NumberCodes,
+    _CharacterCodes as _CharacterCodes,
+    _FlexibleCodes as _FlexibleCodes,
+    _GenericCodes as _GenericCodes,
+)
+from ._scalars import (
+    _CharLike_co as _CharLike_co,
+    _BoolLike_co as _BoolLike_co,
+    _UIntLike_co as _UIntLike_co,
+    _IntLike_co as _IntLike_co,
+    _FloatLike_co as _FloatLike_co,
+    _ComplexLike_co as _ComplexLike_co,
+    _TD64Like_co as _TD64Like_co,
+    _NumberLike_co as _NumberLike_co,
+    _ScalarLike_co as _ScalarLike_co,
+    _VoidLike_co as _VoidLike_co,
+)
+from ._shape import (
+    _Shape as _Shape,
+    _ShapeLike as _ShapeLike,
+)
+from ._dtype_like import (
+    DTypeLike as DTypeLike,
+    _DTypeLike as _DTypeLike,
+    _SupportsDType as _SupportsDType,
+    _VoidDTypeLike as _VoidDTypeLike,
+    _DTypeLikeBool as _DTypeLikeBool,
+    _DTypeLikeUInt as _DTypeLikeUInt,
+    _DTypeLikeInt as _DTypeLikeInt,
+    _DTypeLikeFloat as _DTypeLikeFloat,
+    _DTypeLikeComplex as _DTypeLikeComplex,
+    _DTypeLikeTD64 as _DTypeLikeTD64,
+    _DTypeLikeDT64 as _DTypeLikeDT64,
+    _DTypeLikeObject as _DTypeLikeObject,
+    _DTypeLikeVoid as _DTypeLikeVoid,
+    _DTypeLikeStr as _DTypeLikeStr,
+    _DTypeLikeBytes as _DTypeLikeBytes,
+    _DTypeLikeComplex_co as _DTypeLikeComplex_co,
+)
+from ._array_like import (
+    NDArray as NDArray,
+    ArrayLike as ArrayLike,
+    _ArrayLike as _ArrayLike,
+    _ArrayLikeInt as _ArrayLikeInt,
+    _ArrayLikeBool_co as _ArrayLikeBool_co,
+    _ArrayLikeUInt_co as _ArrayLikeUInt_co,
+    _ArrayLikeInt_co as _ArrayLikeInt_co,
+    _ArrayLikeFloat_co as _ArrayLikeFloat_co,
+    _ArrayLikeFloat64_co as _ArrayLikeFloat64_co,
+    _ArrayLikeComplex_co as _ArrayLikeComplex_co,
+    _ArrayLikeComplex128_co as _ArrayLikeComplex128_co,
+    _ArrayLikeNumber_co as _ArrayLikeNumber_co,
+    _ArrayLikeTD64_co as _ArrayLikeTD64_co,
+    _ArrayLikeDT64_co as _ArrayLikeDT64_co,
+    _ArrayLikeObject_co as _ArrayLikeObject_co,
+    _ArrayLikeVoid_co as _ArrayLikeVoid_co,
+    _ArrayLikeStr_co as _ArrayLikeStr_co,
+    _ArrayLikeBytes_co as _ArrayLikeBytes_co,
+    _ArrayLikeString_co as _ArrayLikeString_co,
+    _ArrayLikeAnyString_co as _ArrayLikeAnyString_co,
+    _ArrayLikeUnknown as _ArrayLikeUnknown,
+    _FiniteNestedSequence as _FiniteNestedSequence,
+    _SupportsArray as _SupportsArray,
+    _SupportsArrayFunc as _SupportsArrayFunc,
+    _UnknownType as _UnknownType,
+)
+
+from ._ufunc import (
+    _UFunc_Nin1_Nout1 as _UFunc_Nin1_Nout1,
+    _UFunc_Nin2_Nout1 as _UFunc_Nin2_Nout1,
+    _UFunc_Nin1_Nout2 as _UFunc_Nin1_Nout2,
+    _UFunc_Nin2_Nout2 as _UFunc_Nin2_Nout2,
+    _GUFunc_Nin2_Nout1 as _GUFunc_Nin2_Nout1,
+)