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Neel Shah
NIFTy
Commits
e07efa6e
Commit
e07efa6e
authored
Jun 29, 2021
by
Neel Shah
Browse files
Temporarily copied from operators directory
parent
9fa5da81
Pipeline
#104583
canceled with stages
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test/test_operators/old_matrix_product_operator.py
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e07efa6e
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
#
# Copyright(C) 20132019 MaxPlanckSociety
#
# NIFTy is being developed at the MaxPlanckInstitut fuer Astrophysik.
import
numpy
as
np
from
nifty8
import
utilities
from
nifty8
import
DomainTuple
from
nifty8
import
Field
from
nifty8
import
EndomorphicOperator
class
OldMatrixProductOperator
(
EndomorphicOperator
):
"""Endomorphic matrix multiplication with input field.
This operator supports scipy.sparse matrices and numpy arrays
as the matrix to be applied.
For numpy array matrices, can apply the matrix over a subspace
of the input.
If the input arrays have more than one dimension, for
scipy.sparse matrices the `flatten` keyword argument must be
set to true. This means that the input field will be flattened
before applying the matrix and reshaped to its original shape
afterwards.
Matrices are tested regarding their compatibility with the
called for application method.
Flattening and subspace application are mutually exclusive.
Parameters

domain: :class:`Domain` or :class:`DomainTuple`
Domain of the operator.
If :class:`DomainTuple` it is assumed to have only one entry.
matrix: scipy.sparse matrix or numpy array
Quadratic matrix of shape `(domain.shape, domain.shape)`
(if `not flatten`) that supports `matrix.transpose()`.
If it is not a numpy array, needs to be applicable to the val
array of input fields by `matrix.dot()`.
spaces: int or tuple of int, optional
The subdomain(s) of "domain" which the operator acts on.
If None, it acts on all elements.
Only possible for numpy array matrices.
If `len(domain) > 1` and `flatten=False`, this parameter is
mandatory.
flatten: boolean, optional
Whether the input value array should be flattened before
applying the matrix and reshaped to its original shape
afterwards.
Needed for scipy.sparse matrices if `len(domain) > 1`.
"""
def
__init__
(
self
,
domain
,
matrix
,
spaces
=
None
,
flatten
=
False
):
self
.
_capability
=
self
.
TIMES

self
.
ADJOINT_TIMES
self
.
_domain
=
DomainTuple
.
make
(
domain
)
mat_dim
=
len
(
matrix
.
shape
)
if
mat_dim
%
2
!=
0
or
\
matrix
.
shape
!=
(
matrix
.
shape
[:
mat_dim
//
2
]
+
matrix
.
shape
[:
mat_dim
//
2
]):
raise
ValueError
(
"Matrix must be quadratic."
)
appl_dim
=
mat_dim
//
2
# matrix application space dimension
# take shortcut for trivial case
if
spaces
is
not
None
:
if
len
(
self
.
_domain
.
shape
)
==
1
and
spaces
==
(
0
,
):
spaces
=
None
if
spaces
is
None
:
self
.
_spaces
=
None
self
.
_active_axes
=
utilities
.
my_sum
(
self
.
_domain
.
axes
)
appl_space_shape
=
self
.
_domain
.
shape
if
flatten
:
appl_space_shape
=
(
utilities
.
my_product
(
appl_space_shape
),
)
else
:
if
flatten
:
raise
ValueError
(
"Cannot flatten input AND apply to a subspace"
)
if
not
isinstance
(
matrix
,
np
.
ndarray
):
raise
ValueError
(
"Application to subspaces only supported for numpy array matrices."
)
self
.
_spaces
=
utilities
.
parse_spaces
(
spaces
,
len
(
self
.
_domain
))
appl_space_shape
=
[]
active_axes
=
[]
for
space_idx
in
spaces
:
appl_space_shape
+=
self
.
_domain
[
space_idx
].
shape
active_axes
+=
self
.
_domain
.
axes
[
space_idx
]
appl_space_shape
=
tuple
(
appl_space_shape
)
self
.
_active_axes
=
tuple
(
active_axes
)
self
.
_mat_last_n
=
tuple
([

appl_dim
+
i
for
i
in
range
(
appl_dim
)])
self
.
_mat_first_n
=
np
.
arange
(
appl_dim
)
# Test if the matrix and the array it will be applied to fit
if
matrix
.
shape
[:
appl_dim
]
!=
appl_space_shape
:
raise
ValueError
(
"Matrix and domain shapes are incompatible under the requested "
+
"application scheme.
\n
"
+
f
"Matrix appl shape:
{
matrix
.
shape
[
:
appl_dim
]
}
, "
+
f
"appl_space_shape:
{
appl_space_shape
}
."
)
self
.
_mat
=
matrix
self
.
_mat_tr
=
matrix
.
transpose
().
conjugate
()
self
.
_flatten
=
flatten
def
apply
(
self
,
x
,
mode
):
self
.
_check_input
(
x
,
mode
)
times
=
(
mode
==
self
.
TIMES
)
m
=
self
.
_mat
if
times
else
self
.
_mat_tr
if
self
.
_spaces
is
None
:
if
not
self
.
_flatten
:
res
=
m
.
dot
(
x
.
val
)
else
:
res
=
m
.
dot
(
x
.
val
.
flatten
()).
reshape
(
self
.
_domain
.
shape
)
return
Field
(
self
.
_domain
,
res
)
mat_axes
=
self
.
_mat_last_n
if
times
else
np
.
flip
(
self
.
_mat_last_n
)
move_axes
=
self
.
_mat_first_n
if
times
else
np
.
flip
(
self
.
_mat_first_n
)
res
=
np
.
tensordot
(
m
,
x
.
val
,
axes
=
(
mat_axes
,
self
.
_active_axes
))
res
=
np
.
moveaxis
(
res
,
move_axes
,
self
.
_active_axes
)
return
Field
(
self
.
_domain
,
res
)
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