venv/lib/python3.11/site-packages/scipy/linalg/_testutils.py

import numpy as np


class _FakeMatrix:
    def __init__(self, data):
        self._data = data
        self.__array_interface__ = data.__array_interface__


class _FakeMatrix2:
    def __init__(self, data):
        self._data = data

    def __array__(self, dtype=None, copy=None):
        if copy:
            return self._data.copy()
        return self._data


def _get_array(shape, dtype):
    """
    Get a test array of given shape and data type.
    Returned NxN matrices are posdef, and 2xN are banded-posdef.

    """
    if len(shape) == 2 and shape[0] == 2:
        # yield a banded positive definite one
        x = np.zeros(shape, dtype=dtype)
        x[0, 1:] = -1
        x[1] = 2
        return x
    elif len(shape) == 2 and shape[0] == shape[1]:
        # always yield a positive definite matrix
        x = np.zeros(shape, dtype=dtype)
        j = np.arange(shape[0])
        x[j, j] = 2
        x[j[:-1], j[:-1]+1] = -1
        x[j[:-1]+1, j[:-1]] = -1
        return x
    else:
        np.random.seed(1234)
        return np.random.randn(*shape).astype(dtype)


def _id(x):
    return x


def assert_no_overwrite(call, shapes, dtypes=None):
    """
    Test that a call does not overwrite its input arguments
    """

    if dtypes is None:
        dtypes = [np.float32, np.float64, np.complex64, np.complex128]

    for dtype in dtypes:
        for order in ["C", "F"]:
            for faker in [_id, _FakeMatrix, _FakeMatrix2]:
                orig_inputs = [_get_array(s, dtype) for s in shapes]
                inputs = [faker(x.copy(order)) for x in orig_inputs]
                call(*inputs)
                msg = f"call modified inputs [{dtype!r}, {faker!r}]"
                for a, b in zip(inputs, orig_inputs):
                    np.testing.assert_equal(a, b, err_msg=msg)