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from __future__ import annotations
from typing import Literal
import dask.array as da
# The `matmul` and `tensordot` functions are in both the main and linalg namespaces
from dask.array import matmul, outer, tensordot
# Exports
from dask.array.linalg import * # noqa: F403
from ..._internal import get_xp
from ...common import _linalg
from ...common._typing import Array as _Array
from ._aliases import matrix_transpose, vecdot
# dask.array.linalg doesn't have __all__. If it is added, replace this with
#
# from dask.array.linalg import __all__ as linalg_all
_n = {}
exec('from dask.array.linalg import *', _n)
for k in ('__builtins__', 'annotations', 'operator', 'warnings', 'Array'):
_n.pop(k, None)
linalg_all = list(_n)
del _n, k
EighResult = _linalg.EighResult
QRResult = _linalg.QRResult
SlogdetResult = _linalg.SlogdetResult
SVDResult = _linalg.SVDResult
# TODO: use the QR wrapper once dask
# supports the mode keyword on QR
# https://github.com/dask/dask/issues/10388
#qr = get_xp(da)(_linalg.qr)
def qr(
x: _Array,
mode: Literal["reduced", "complete"] = "reduced",
**kwargs: object,
) -> QRResult:
if mode != "reduced":
raise ValueError("dask arrays only support using mode='reduced'")
return QRResult(*da.linalg.qr(x, **kwargs))
trace = get_xp(da)(_linalg.trace)
cholesky = get_xp(da)(_linalg.cholesky)
matrix_rank = get_xp(da)(_linalg.matrix_rank)
matrix_norm = get_xp(da)(_linalg.matrix_norm)
# Wrap the svd functions to not pass full_matrices to dask
# when full_matrices=False (as that is the default behavior for dask),
# and dask doesn't have the full_matrices keyword
def svd(x: _Array, full_matrices: bool = True, **kwargs) -> SVDResult:
if full_matrices:
raise ValueError("full_matrics=True is not supported by dask.")
return da.linalg.svd(x, coerce_signs=False, **kwargs)
def svdvals(x: _Array) -> _Array:
# TODO: can't avoid computing U or V for dask
_, s, _ = svd(x)
return s
vector_norm = get_xp(da)(_linalg.vector_norm)
diagonal = get_xp(da)(_linalg.diagonal)
__all__ = linalg_all + ["trace", "outer", "matmul", "tensordot",
"matrix_transpose", "vecdot", "EighResult",
"QRResult", "SlogdetResult", "SVDResult", "qr",
"cholesky", "matrix_rank", "matrix_norm", "svdvals",
"vector_norm", "diagonal"]
_all_ignore = ['get_xp', 'da', 'linalg_all', 'warnings']
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