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ift
NIFTy
Commits
186e917e
Commit
186e917e
authored
Aug 17, 2017
by
Martin Reinecke
Browse files
intermediate state
parent
20edb351
Changes
1
Hide whitespace changes
Inline
Side-by-side
nifty/operators/laplace_operator/laplace_operator.py
View file @
186e917e
...
...
@@ -50,15 +50,14 @@ class LaplaceOperator(EndomorphicOperator):
self
.
_logarithmic
=
bool
(
logarithmic
)
pos
=
self
.
domain
[
0
].
kindex
.
copy
()
if
self
.
logarithmic
:
self
.
positions
=
self
.
domain
[
0
].
kindex
.
copy
()
self
.
positions
[
1
:]
=
np
.
log
(
self
.
positions
[
1
:])
self
.
positions
[
0
]
=
-
1.
else
:
self
.
positions
=
self
.
domain
[
0
].
kindex
.
copy
()
self
.
positions
[
0
]
=
-
1
pos
[
1
:]
=
np
.
log
(
pos
[
1
:])
pos
[
0
]
=
pos
[
1
]
-
1.
self
.
fwd_dist
=
self
.
positions
[
1
:]
-
self
.
positions
[:
-
1
]
self
.
_dist_l
=
pos
[
1
:
-
1
]
-
pos
[:
-
2
]
self
.
_dist_r
=
pos
[
2
:]
-
pos
[
1
:
-
1
]
self
.
_dist_c
=
0.5
*
(
pos
[
2
:]
-
pos
[:
-
2
])
@
property
def
target
(
self
):
...
...
@@ -94,24 +93,20 @@ class LaplaceOperator(EndomorphicOperator):
else
:
axes
=
x
.
domain_axes
[
spaces
[
0
]]
axis
=
axes
[
0
]
nval
=
len
(
self
.
_dist_l
)
prefix
=
(
slice
(
None
),)
*
axis
fwd_dist
=
self
.
fwd_dist
.
reshape
((
1
,)
*
axis
+
self
.
fwd_dist
.
shape
)
positions
=
self
.
positions
.
reshape
((
1
,)
*
axis
+
self
.
positions
.
shape
)
sl_c
=
prefix
+
slice
(
1
,
-
1
)
sl_l
=
prefix
+
slice
(
None
,
-
2
)
sl_r
=
prefix
+
slice
(
2
,
None
)
dist_l
=
self
.
_dist_l
.
reshape
((
1
,)
*
axis
+
(
nval
,))
dist_r
=
self
.
_dist_r
.
reshape
((
1
,)
*
axis
+
(
nval
,))
dist_c
=
self
.
_dist_c
.
reshape
((
1
,)
*
axis
+
(
nval
,))
dx_r
=
x
[
sl_r
]
-
x
[
sl_c
]
dx_l
=
x
[
sl_c
]
-
x
[
sl_l
]
ret
=
x
.
val
.
copy_empty
()
x
=
x
.
val
ret
[
prefix
+
(
slice
(
1
,
-
1
),)]
=
\
(
-
((
x
[
prefix
+
(
slice
(
1
,
-
1
),)]
-
x
[
prefix
+
(
slice
(
0
,
-
2
),)])
/
fwd_dist
[
prefix
+
(
slice
(
0
,
-
1
),)])
+
((
x
[
prefix
+
(
slice
(
2
,
None
),)]
-
x
[
prefix
+
(
slice
(
1
,
-
1
),)])
/
fwd_dist
[
prefix
+
(
slice
(
1
,
None
),)]))
ret
[
prefix
+
(
slice
(
1
,
-
1
),)]
/=
\
(
positions
[
prefix
+
(
slice
(
2
,
None
),)]
-
positions
[
prefix
+
(
slice
(
None
,
-
2
),)])
ret
*=
2.
ret
[
prefix
+
(
slice
(
0
,
2
),)]
=
0
ret
[
prefix
+
(
slice
(
-
1
,
-
1
),)]
=
0
ret
[
prefix
+
(
slice
(
2
,
None
),)]
*=
\
np
.
sqrt
(
fwd_dist
)[
prefix
+
(
slice
(
1
,
None
),)]
ret
[
sl_c
]
=
(
dx_r
/
dist_r
-
dx_l
/
dist_l
)
/
sqrt
(
dist_c
)
ret
[
prefix
+
slice
(
None
,
2
)]
=
0.
res
[
prefix
+
slice
(
-
1
,
None
)]
=
0.
return
Field
(
self
.
domain
,
val
=
ret
).
weight
(
power
=-
0.5
,
spaces
=
spaces
)
def
_adjoint_times
(
self
,
x
,
spaces
):
...
...
@@ -124,42 +119,32 @@ class LaplaceOperator(EndomorphicOperator):
else
:
axes
=
x
.
domain_axes
[
spaces
[
0
]]
axis
=
axes
[
0
]
nval
=
len
(
self
.
_dist_l
)
prefix
=
(
slice
(
None
),)
*
axis
fwd_dist
=
self
.
fwd_dist
.
reshape
((
1
,)
*
axis
+
self
.
fwd_dist
.
shape
)
positions
=
self
.
positions
.
reshape
((
1
,)
*
axis
+
self
.
positions
.
shape
)
sl_c
=
prefix
+
slice
(
1
,
-
1
)
sl_l
=
prefix
+
slice
(
None
,
-
2
)
sl_r
=
prefix
+
slice
(
2
,
None
)
dist_l
=
self
.
_dist_l
.
reshape
((
1
,)
*
axis
+
(
nval
,))
dist_r
=
self
.
_dist_r
.
reshape
((
1
,)
*
axis
+
(
nval
,))
dist_c
=
self
.
_dist_c
.
reshape
((
1
,)
*
axis
+
(
nval
,))
dx_r
=
x
[
sl_r
]
-
x
[
sl_c
]
dx_l
=
x
[
sl_c
]
-
x
[
sl_l
]
y
=
x
.
copy
().
weight
(
power
=
0.5
).
val
y
[
prefix
+
(
slice
(
2
,
None
),)]
*=
\
np
.
sqrt
(
fwd_dist
)[
prefix
+
(
slice
(
1
,
None
),)]
y
[
prefix
+
(
slice
(
0
,
2
),)]
=
0
y
[
prefix
+
(
slice
(
-
1
,
-
1
),)]
=
0
y
[
sl_c
]
*=
sqrt
(
dist_c
)
y
[
prefix
+
slice
(
None
,
2
)]
=
0.
y
[
prefix
+
slice
(
-
1
,
None
)]
=
0.
ret
=
y
.
copy_empty
()
y
[
prefix
+
(
slice
(
1
,
-
1
),)]
/=
\
(
positions
[
prefix
+
(
slice
(
2
,
None
),)]
-
positions
[
prefix
+
(
slice
(
None
,
-
2
),)])
y
*=
2
ret
[
prefix
+
(
slice
(
1
,
-
1
),)]
=
\
(
-
y
[
prefix
+
(
slice
(
1
,
-
1
),)]
/
fwd_dist
[
prefix
+
(
slice
(
0
,
-
1
),)]
-
y
[
prefix
+
(
slice
(
1
,
-
1
),)]
/
fwd_dist
[
prefix
+
(
slice
(
1
,
None
),)])
ret
[
prefix
+
(
slice
(
0
,
-
2
),)]
+=
\
y
[
prefix
+
(
slice
(
1
,
-
1
),)]
/
fwd_dist
[
prefix
+
(
slice
(
0
,
-
1
),)]
ret
[
prefix
+
(
slice
(
2
,
None
),)]
+=
\
y
[
prefix
+
(
slice
(
1
,
-
1
),)]
/
fwd_dist
[
prefix
+
(
slice
(
1
,
None
),)]
y
[
sl_c
]
/=
dist_c
ret
[
sl_c
]
=
(
y
[
sl_r
]
-
y
[
sl_c
])
/
dist_r
-
(
y
[
sl_c
]
-
y
[
sl_l
])
/
dist_l
ret
[
prefix
+
(
0
,)]
=
y
[
prefix
+
(
1
,)]
/
dist_l
[
prefix
+
(
0
,)]
ret
[
prefix
+
(
-
1
,)]
=
y
[
prefix
+
(
-
2
,)]
/
dist_r
[
prefix
+
(
-
1
,)]
return
Field
(
self
.
domain
,
val
=
ret
).
weight
(
-
1
,
spaces
=
spaces
)
def
_irregular_laplace
(
self
,
x
):
ret
=
np
.
zeros_like
(
x
)
ret
[
1
:
-
1
]
=
(
-
(
x
[
1
:
-
1
]
-
x
[
0
:
-
2
])
/
self
.
fwd_dist
[:
-
1
]
+
(
x
[
2
:]
-
x
[
1
:
-
1
])
/
self
.
fwd_dist
[
1
:])
ret
[
1
:
-
1
]
/=
self
.
positions
[
2
:]
-
self
.
positions
[:
-
2
]
ret
*=
2.
return
ret
def
_irregular_adj_laplace
(
self
,
x
):
ret
=
np
.
zeros_like
(
x
)
y
=
x
.
copy
()
y
[
1
:
-
1
]
/=
self
.
positions
[
2
:]
-
self
.
positions
[:
-
2
]
y
*=
2
ret
[
1
:
-
1
]
=
-
y
[
1
:
-
1
]
/
self
.
fwd_dist
[:
-
1
]
-
y
[
1
:
-
1
]
/
self
.
fwd_dist
[
1
:]
ret
[
0
:
-
2
]
+=
y
[
1
:
-
1
]
/
self
.
fwd_dist
[:
-
1
]
ret
[
2
:]
+=
y
[
1
:
-
1
]
/
self
.
fwd_dist
[
1
:]
return
ret
Laplace
:
L
=
(
dxr
/
dr
-
dxl
/
dl
)
/
sqrt
(
dc
)
adjoint
Laplace
:
tmp
=
x
/
sqrt
(
dc
)
tmp2
=
(
tmpr
-
tmp
)
/
dr
-
(
tmp
-
tmpl
)
/
dl
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