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Joseph Weston
kwant
Commits
9945ee54
Commit
9945ee54
authored
11 years ago
by
Christoph Groth
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lattice.Shape: code and documentation reformulations
parent
80ab77e8
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2 changed files
kwant/lattice.py
+42
-59
42 additions, 59 deletions
kwant/lattice.py
kwant/tests/test_lattice.py
+3
-2
3 additions, 2 deletions
kwant/tests/test_lattice.py
with
45 additions
and
61 deletions
kwant/lattice.py
+
42
−
59
View file @
9945ee54
...
...
@@ -471,28 +471,29 @@ class TranslationalSymmetry(builder.Symmetry):
class
Shape
(
object
):
def
__init__
(
self
,
lattice
,
function
,
start
):
"""
A class for finding all the lattice sites in a shape.
"""
A class for finding all the lattice sites in
side
a shape.
It uses a flood-fill algorithm, and takes into account
the symmetry of the buil
de
r
t
o which it is provided, or
the symmetry, that is supplied to it after initializa
tion.
When an instance of this class is called, a flood-fill algorithm finds
and yields all the sites insi
de t
he specified shape starting from the
specified posi
tion.
Parameters
----------
lattice : Polyatomic or Monoatomic lattice
Lattice, to which the resulting sites should belong.
function : callable
A function of real space coordinates, which should
return True for coordinates inside the shape,
and False otherwise.
A function of real space coordinates that returns a truth value:
true for coordinates inside the shape, and false otherwise.
start : float vector
The origin for the flood-fill algorithm.
Notes
-----
A ``Shape`` is a callable object: When called with a
`~kwant.builder.Builder` as sole argument, an instance of this class will
return an iterator over all the sites from the shape that are in the fundamental domain of the builder
'
s symmetry.
A `~kwant.builder.Symmetry` or `~kwant.builder.Builder` may be passed as
sole argument when calling an instance of this class. This will
restrict the flood-fill to the fundamental domain of the symmetry (or
the builder
'
s symmetry). Note that unless the shape function has that
symmetry itself, the result may be unexpected.
Because a `~kwant.builder.Builder` can be indexed with functions or
iterables of functions, ``Shape`` instances (or any non-tuple
...
...
@@ -501,70 +502,52 @@ class Shape(object):
"""
self
.
lat
,
self
.
func
,
self
.
start
=
lattice
,
function
,
start
def
__call__
(
self
,
builder_or_symmetry
=
None
):
"""
Yield all the lattice sites which belong to a certain shape.
Parameters
----------
builder_or_symmetry : Builder or Symmetry instance
The builder to which the site from the shape are added, or
the symmetry, such that the sites from the shape belong to
its fundamental domain. If not provided, trivial symmetry is
used.
Returns
-------
sites : sequence of `Site` objects
all the sites that belong to the lattice and fit inside the shape.
"""
def
__call__
(
self
,
symmetry
=
None
):
Site
=
builder
.
Site
lat
,
func
,
start
=
self
.
lat
,
self
.
func
,
self
.
start
try
:
symmetry
=
builder_or_symmetry
.
symmetry
except
AttributeError
:
symmetry
=
builder_or_symmetry
if
symmetry
is
None
:
symmetry
=
builder
.
NoSymmetry
()
symmetry
=
builder
.
NoSymmetry
()
elif
not
isinstance
(
symmetry
,
builder
.
Symmetry
):
symmetry
=
symmetry
.
symmetry
sym_site
=
lambda
lat
,
tag
:
symmetry
.
to_fd
(
Site
(
lat
,
tag
,
True
))
def
sym_site
(
lat
,
tag
):
return
symmetry
.
to_fd
(
Site
(
lat
,
tag
,
True
))
dim
=
len
(
start
)
if
dim
!=
lat
.
prim_vecs
.
shape
[
1
]:
raise
ValueError
(
'
Dimensionality of start position does not match
'
'
the space dimensionality.
'
)
sls
=
lat
.
sublattices
deltas
=
[
ta
.
array
(
i
)
for
i
in
lat
.
_voronoi
]
# Check if no sites are going to be added, to catch a common error.
empty
=
True
for
sl
in
sls
:
if
func
(
sym_site
(
sl
,
sl
.
closest
(
start
)).
pos
):
empty
=
False
if
empty
:
deltas
=
[
ta
.
array
(
delta
)
for
delta
in
lat
.
_voronoi
]
#### Flood-fill ####
sites
=
[]
for
tag
in
set
(
sl
.
closest
(
start
)
for
sl
in
sls
):
for
sl
in
sls
:
site
=
sym_site
(
sl
,
tag
)
if
func
(
site
.
pos
):
sites
.
append
(
site
)
if
not
sites
:
msg
=
'
No sites close to {0} are inside the desired shape.
'
raise
ValueError
(
msg
.
format
(
start
))
# Continue to flood fill.
tags
=
set
([
sl
.
closest
(
start
)
for
sl
in
sls
])
new_sites
=
[
sym_site
(
sl
,
tag
)
for
sl
in
sls
for
tag
in
tags
]
new_sites
=
[
i
for
i
in
new_sites
if
func
(
i
.
pos
)]
old_sites
=
set
()
while
new_
sites
:
t
mp
=
set
()
for
site
in
new_
sites
:
while
sites
:
t
ags
=
set
()
for
site
in
sites
:
yield
site
tags
=
set
((
i
.
tag
for
i
in
new_sites
))
tags
.
add
(
site
.
tag
)
tags
=
set
(
tag
+
delta
for
tag
in
tags
for
delta
in
deltas
)
new_sites
=
set
()
for
tag
in
tags
:
for
shift
in
deltas
:
for
sl
in
sls
:
site
=
sym_site
(
sl
,
tag
+
shift
)
if
site
not
in
old_sites
and
\
site
not
in
new_sites
and
\
func
(
site
.
pos
):
tmp
.
add
(
site
)
old_sites
=
new_sites
new_sites
=
tmp
for
sl
in
sls
:
site
=
sym_site
(
sl
,
tag
)
if
site
not
in
old_sites
and
site
not
in
sites
\
and
func
(
site
.
pos
):
new_sites
.
add
(
site
)
old_sites
=
sites
sites
=
new_sites
################ Library of lattices (to be extended)
...
...
@@ -584,6 +567,6 @@ def square(a=1, name=''):
def
honeycomb
(
a
=
1
,
name
=
''
):
"""
Create a honeycomb lattice.
"""
lat
=
Polyatomic
(((
a
,
0
),
(
0.5
*
a
,
0.5
*
a
*
sqrt
(
3
))),
((
0
,
0
),
(
0
,
a
/
sqrt
(
3
))),
name
=
name
)
((
0
,
0
),
(
0
,
a
/
sqrt
(
3
))),
name
=
name
)
lat
.
a
,
lat
.
b
=
lat
.
sublattices
return
lat
This diff is collapsed.
Click to expand it.
kwant/tests/test_lattice.py
+
3
−
2
View file @
9945ee54
...
...
@@ -56,8 +56,7 @@ def test_shape():
def
in_circle
(
pos
):
return
pos
[
0
]
**
2
+
pos
[
1
]
**
2
<
3
lat
=
lattice
.
general
(((
1
,
0
),
(
0.5
,
sqrt
(
3
)
/
2
)),
((
0
,
0
),
(
0
,
1
/
sqrt
(
3
))))
lat
=
lattice
.
honeycomb
()
sites
=
list
(
lat
.
shape
(
in_circle
,
(
0
,
0
))())
sites_alt
=
list
()
sl0
,
sl1
=
lat
.
sublattices
...
...
@@ -70,6 +69,7 @@ def test_shape():
assert
len
(
sites
)
==
len
(
sites_alt
)
assert_equal
(
set
(
sites
),
set
(
sites_alt
))
assert_raises
(
ValueError
,
lat
.
shape
(
in_circle
,
(
10
,
10
))().
next
)
# Check if narrow ribbons work.
for
period
in
(
0
,
1
),
(
1
,
0
),
(
1
,
-
1
):
vec
=
lat
.
vec
(
period
)
...
...
@@ -79,6 +79,7 @@ def test_shape():
sites
=
list
(
lat
.
shape
(
shape
,
(
0
,
0
))(
sym
))
assert
len
(
sites
)
>
35
def
test_translational_symmetry
():
ts
=
lattice
.
TranslationalSymmetry
g2
=
lattice
.
general
(
np
.
identity
(
2
))
...
...
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