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fft_sampler.py
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Created
Fri, Sep 27, 02:54
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1 KB
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text/x-python
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Sun, Sep 29, 02:54 (1 d, 20 h)
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R6746 RationalROMPy
fft_sampler.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
.generic_sampler
import
GenericSampler
from
rrompy.utilities.base.types
import
paramList
from
rrompy.utilities.numerical
import
lowDiscrepancy
,
kroneckerer
from
rrompy.parameter
import
checkParameterList
__all__
=
[
'FFTSampler'
]
class
FFTSampler
(
GenericSampler
):
"""Generator of FFT-type sample points on scaled roots of unity."""
def
generatePoints
(
self
,
n
:
int
,
reorder
:
bool
=
True
)
->
paramList
:
"""Array of sample points."""
n1d
=
int
(
np
.
ceil
(
n
**
(
1.
/
self
.
npar
)))
nleft
,
nright
=
1
,
n1d
**
self
.
npar
xmat
=
np
.
empty
((
nright
,
self
.
npar
),
dtype
=
np
.
complex
)
for
d
in
range
(
self
.
npar
):
nright
//=
n1d
a
=
self
.
lims
(
0
,
d
)
**
self
.
scalingExp
[
d
]
b
=
self
.
lims
(
1
,
d
)
**
self
.
scalingExp
[
d
]
c
,
r
=
(
a
+
b
)
/
2.
,
(
a
-
b
)
/
2.
xd
=
c
+
r
*
np
.
exp
(
1.j
*
np
.
linspace
(
0
,
2
*
np
.
pi
,
n1d
+
1
)[:
-
1
])
xd
**=
1.
/
self
.
scalingExp
[
d
]
if
n1d
>
1
and
reorder
:
fejerOrdering
=
[
n1d
-
1
]
+
lowDiscrepancy
(
n1d
-
1
)
xd
=
xd
[
fejerOrdering
]
xmat
[:,
d
]
=
kroneckerer
(
xd
,
nleft
,
nright
)
nleft
*=
n1d
x
=
checkParameterList
(
xmat
,
self
.
npar
)[
0
]
return
x
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