--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/CSP2/CSP2_env/env-d9b9114564458d9d-741b3de822f2aaca6c6caa4325c4afce/lib/python3.8/site-packages/numpy/dual.py	Tue Mar 18 16:23:26 2025 -0400
@@ -0,0 +1,83 @@
+"""
+.. deprecated:: 1.20
+
+*This module is deprecated.  Instead of importing functions from*
+``numpy.dual``, *the functions should be imported directly from NumPy
+or SciPy*.
+
+Aliases for functions which may be accelerated by SciPy.
+
+SciPy_ can be built to use accelerated or otherwise improved libraries
+for FFTs, linear algebra, and special functions. This module allows
+developers to transparently support these accelerated functions when
+SciPy is available but still support users who have only installed
+NumPy.
+
+.. _SciPy : https://www.scipy.org
+
+"""
+import warnings
+
+
+warnings.warn('The module numpy.dual is deprecated.  Instead of using dual, '
+              'use the functions directly from numpy or scipy.',
+              category=DeprecationWarning,
+              stacklevel=2)
+
+# This module should be used for functions both in numpy and scipy if
+#  you want to use the numpy version if available but the scipy version
+#  otherwise.
+#  Usage  --- from numpy.dual import fft, inv
+
+__all__ = ['fft', 'ifft', 'fftn', 'ifftn', 'fft2', 'ifft2',
+           'norm', 'inv', 'svd', 'solve', 'det', 'eig', 'eigvals',
+           'eigh', 'eigvalsh', 'lstsq', 'pinv', 'cholesky', 'i0']
+
+import numpy.linalg as linpkg
+import numpy.fft as fftpkg
+from numpy.lib import i0
+import sys
+
+
+fft = fftpkg.fft
+ifft = fftpkg.ifft
+fftn = fftpkg.fftn
+ifftn = fftpkg.ifftn
+fft2 = fftpkg.fft2
+ifft2 = fftpkg.ifft2
+
+norm = linpkg.norm
+inv = linpkg.inv
+svd = linpkg.svd
+solve = linpkg.solve
+det = linpkg.det
+eig = linpkg.eig
+eigvals = linpkg.eigvals
+eigh = linpkg.eigh
+eigvalsh = linpkg.eigvalsh
+lstsq = linpkg.lstsq
+pinv = linpkg.pinv
+cholesky = linpkg.cholesky
+
+_restore_dict = {}
+
+def register_func(name, func):
+    if name not in __all__:
+        raise ValueError("{} not a dual function.".format(name))
+    f = sys._getframe(0).f_globals
+    _restore_dict[name] = f[name]
+    f[name] = func
+
+def restore_func(name):
+    if name not in __all__:
+        raise ValueError("{} not a dual function.".format(name))
+    try:
+        val = _restore_dict[name]
+    except KeyError:
+        return
+    else:
+        sys._getframe(0).f_globals[name] = val
+
+def restore_all():
+    for name in _restore_dict.keys():
+        restore_func(name)