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monomial_creator.py
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Created
Wed, Jul 31, 22:33
Size
2 KB
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text/x-python
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Fri, Aug 2, 22:33 (1 d, 23 h)
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19492609
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R6746 RationalROMPy
monomial_creator.py
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# Copyright (C) 2018 by the RROMPy authors
#
# This file is part of RROMPy.
#
# RROMPy is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# RROMPy 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 Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with RROMPy. If not, see <http://www.gnu.org/licenses/>.
#
import
numpy
as
np
from
rrompy.utilities.numerical.factorials
import
multibinom
from
rrompy.utilities.numerical.hash_derivative
import
(
nextDerivativeIndices
,
hashIdxToDerivative
as
hashI
,
hashDerivativeToIdx
as
hashD
)
from
rrompy.utilities.base.types
import
List
,
TupleAny
__all__
=
[
"createMonomial"
,
"createMonomialList"
]
def
createMonomial
(
deg
:
List
[
int
],
return_derivatives
:
bool
=
False
)
->
List
[
List
[
TupleAny
]]:
if
not
hasattr
(
deg
,
"__len__"
):
deg
=
[
deg
]
dim
=
len
(
deg
)
degj
=
hashD
(
deg
)
expr
=
[]
for
k
in
range
(
degj
*
return_derivatives
+
1
):
degder
=
hashI
(
k
,
dim
)
derdiff
=
[
x
-
y
for
(
x
,
y
)
in
zip
(
deg
,
degder
)]
if
all
([
d
>=
0
for
d
in
derdiff
]):
mult
=
multibinom
(
deg
,
degder
)
if
np
.
sum
(
derdiff
)
==
0
:
exprLoc
=
(
mult
,)
else
:
exprLoc
=
(
"prod"
,
{
"axis"
:
1
},
(
"data"
,
"x"
,
"**"
,
derdiff
))
if
not
np
.
isclose
(
mult
,
1
):
exprLoc
=
exprLoc
+
(
"*"
,
mult
,)
expr
+=
[
exprLoc
]
else
:
expr
+=
[(
0.
,)]
if
return_derivatives
:
expr
+=
[
None
]
return
expr
def
createMonomialList
(
n
:
int
,
dim
:
int
,
return_derivatives
:
bool
=
False
)
->
List
[
List
[
TupleAny
]]:
derIdxs
=
nextDerivativeIndices
([],
dim
,
n
)
idxList
=
[]
for
j
,
der
in
enumerate
(
derIdxs
):
idxList
+=
[
createMonomial
(
der
,
return_derivatives
)]
return
idxList
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