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units
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import
math
import
numpy
as
np
import
matplotlib
.
units
as
units
import
matplotlib
.
ticker
as
ticker
from
matplotlib
.
axes
import
Axes
from
matplotlib
.
cbook
import
iterable
class
ProxyDelegate
(
object
):
def
__init__
(
self
,
fn_name
,
proxy_type
):
self
.
proxy_type
=
proxy_type
self
.
fn_name
=
fn_name
def
__get__
(
self
,
obj
,
objtype
=
None
):
return
self
.
proxy_type
(
self
.
fn_name
,
obj
)
class
TaggedValueMeta
(
type
):
def
__init__
(
cls
,
name
,
bases
,
dict
):
for
fn_name
in
cls
.
_proxies
.
keys
():
try
:
dummy
=
getattr
(
cls
,
fn_name
)
except
AttributeError
:
setattr
(
cls
,
fn_name
,
ProxyDelegate
(
fn_name
,
cls
.
_proxies
[
fn_name
]))
class
PassThroughProxy
(
object
):
def
__init__
(
self
,
fn_name
,
obj
):
self
.
fn_name
=
fn_name
self
.
target
=
obj
.
proxy_target
def
__call__
(
self
,
*
args
):
fn
=
getattr
(
self
.
target
,
self
.
fn_name
)
ret
=
fn
(
*
args
)
return
ret
class
ConvertArgsProxy
(
PassThroughProxy
):
def
__init__
(
self
,
fn_name
,
obj
):
PassThroughProxy
.
__init__
(
self
,
fn_name
,
obj
)
self
.
unit
=
obj
.
unit
def
__call__
(
self
,
*
args
):
converted_args
=
[]
for
a
in
args
:
try
:
converted_args
.
append
(
a
.
convert_to
(
self
.
unit
))
except
AttributeError
:
converted_args
.
append
(
TaggedValue
(
a
,
self
.
unit
))
converted_args
=
tuple
([
c
.
get_value
()
for
c
in
converted_args
])
return
PassThroughProxy
.
__call__
(
self
,
*
converted_args
)
class
ConvertReturnProxy
(
PassThroughProxy
):
def
__init__
(
self
,
fn_name
,
obj
):
PassThroughProxy
.
__init__
(
self
,
fn_name
,
obj
)
self
.
unit
=
obj
.
unit
def
__call__
(
self
,
*
args
):
ret
=
PassThroughProxy
.
__call__
(
self
,
*
args
)
if
(
type
(
ret
)
==
type
(
NotImplemented
)):
return
NotImplemented
return
TaggedValue
(
ret
,
self
.
unit
)
class
ConvertAllProxy
(
PassThroughProxy
):
def
__init__
(
self
,
fn_name
,
obj
):
PassThroughProxy
.
__init__
(
self
,
fn_name
,
obj
)
self
.
unit
=
obj
.
unit
def
__call__
(
self
,
*
args
):
converted_args
=
[]
arg_units
=
[
self
.
unit
]
for
a
in
args
:
if
hasattr
(
a
,
'get_unit'
)
and
not
hasattr
(
a
,
'convert_to'
):
# if this arg has a unit type but no conversion ability,
# this operation is prohibited
return
NotImplemented
if
hasattr
(
a
,
'convert_to'
):
try
:
a
=
a
.
convert_to
(
self
.
unit
)
except
:
pass
arg_units
.
append
(
a
.
get_unit
())
converted_args
.
append
(
a
.
get_value
())
else
:
converted_args
.
append
(
a
)
if
hasattr
(
a
,
'get_unit'
):
arg_units
.
append
(
a
.
get_unit
())
else
:
arg_units
.
append
(
None
)
converted_args
=
tuple
(
converted_args
)
ret
=
PassThroughProxy
.
__call__
(
self
,
*
converted_args
)
if
(
type
(
ret
)
==
type
(
NotImplemented
)):
return
NotImplemented
ret_unit
=
unit_resolver
(
self
.
fn_name
,
arg_units
)
if
(
ret_unit
==
NotImplemented
):
return
NotImplemented
return
TaggedValue
(
ret
,
ret_unit
)
class
_TaggedValue
(
object
):
_proxies
=
{
'__add__'
:
ConvertAllProxy
,
'__sub__'
:
ConvertAllProxy
,
'__mul__'
:
ConvertAllProxy
,
'__rmul__'
:
ConvertAllProxy
,
'__cmp__'
:
ConvertAllProxy
,
'__lt__'
:
ConvertAllProxy
,
'__gt__'
:
ConvertAllProxy
,
'__len__'
:
PassThroughProxy
}
def
__new__
(
cls
,
value
,
unit
):
# generate a new subclass for value
value_class
=
type
(
value
)
try
:
subcls
=
type
(
'TaggedValue_of_%s'
%
(
value_class
.
__name__
),
tuple
([
cls
,
value_class
]),
{})
if
subcls
not
in
units
.
registry
:
units
.
registry
[
subcls
]
=
basicConverter
return
object
.
__new__
(
subcls
)
except
TypeError
:
if
cls
not
in
units
.
registry
:
units
.
registry
[
cls
]
=
basicConverter
return
object
.
__new__
(
cls
)
def
__init__
(
self
,
value
,
unit
):
self
.
value
=
value
self
.
unit
=
unit
self
.
proxy_target
=
self
.
value
def
__getattribute__
(
self
,
name
):
if
(
name
.
startswith
(
'__'
)):
return
object
.
__getattribute__
(
self
,
name
)
variable
=
object
.
__getattribute__
(
self
,
'value'
)
if
(
hasattr
(
variable
,
name
)
and
name
not
in
self
.
__class__
.
__dict__
):
return
getattr
(
variable
,
name
)
return
object
.
__getattribute__
(
self
,
name
)
def
__array__
(
self
,
t
=
None
,
context
=
None
):
if
t
is
not
None
:
return
np
.
asarray
(
self
.
value
).
astype
(
t
)
else
:
return
np
.
asarray
(
self
.
value
,
'O'
)
def
__array_wrap__
(
self
,
array
,
context
):
return
TaggedValue
(
array
,
self
.
unit
)
def
__repr__
(
self
):
return
'TaggedValue('
+
repr
(
self
.
value
)
+
', '
+
repr
(
self
.
unit
)
+
')'
def
__str__
(
self
):
return
str
(
self
.
value
)
+
' in '
+
str
(
self
.
unit
)
def
__len__
(
self
):
return
len
(
self
.
value
)
def
__iter__
(
self
):
class
IteratorProxy
(
object
):
def
__init__
(
self
,
iter
,
unit
):
self
.
iter
=
iter
self
.
unit
=
unit
def
__next__
(
self
):
value
=
next
(
self
.
iter
)
return
TaggedValue
(
value
,
self
.
unit
)
next
=
__next__
# for Python 2
return
IteratorProxy
(
iter
(
self
.
value
),
self
.
unit
)
def
get_compressed_copy
(
self
,
mask
):
new_value
=
np
.
ma
.
masked_array
(
self
.
value
,
mask
=
mask
).
compressed
()
return
TaggedValue
(
new_value
,
self
.
unit
)
def
convert_to
(
self
,
unit
):
if
(
unit
==
self
.
unit
or
not
unit
):
return
self
new_value
=
self
.
unit
.
convert_value_to
(
self
.
value
,
unit
)
return
TaggedValue
(
new_value
,
unit
)
def
get_value
(
self
):
return
self
.
value
def
get_unit
(
self
):
return
self
.
unit
TaggedValue
=
TaggedValueMeta
(
'TaggedValue'
, (
_TaggedValue
, ), {})
class
BasicUnit
(
object
):
def
__init__
(
self
,
name
,
fullname
=
None
):
self
.
name
=
name
if
fullname
is
None
:
fullname
=
name
self
.
fullname
=
fullname
self
.
conversions
=
dict
()
def
__repr__
(
self
):
return
'BasicUnit(%s)'
%
self
.
name
def
__str__
(
self
):
return
self
.
fullname
def
__call__
(
self
,
value
):
return
TaggedValue
(
value
,
self
)
def
__mul__
(
self
,
rhs
):
value
=
rhs
unit
=
self
if
hasattr
(
rhs
,
'get_unit'
):
value
=
rhs
.
get_value
()
unit
=
rhs
.
get_unit
()
unit
=
unit_resolver
(
'__mul__'
, (
self
,
unit
))
if
(
unit
==
NotImplemented
):
return
NotImplemented
return
TaggedValue
(
value
,
unit
)
def
__rmul__
(
self
,
lhs
):
return
self
*
lhs
def
__array_wrap__
(
self
,
array
,
context
):
return
TaggedValue
(
array
,
self
)
def
__array__
(
self
,
t
=
None
,
context
=
None
):
ret
=
np
.
array
([
1
])
if
t
is
not
None
:
return
ret
.
astype
(
t
)
else
:
return
ret
def
add_conversion_factor
(
self
,
unit
,
factor
):
def
convert
(
x
):
return
x
*
factor
self
.
conversions
[
unit
]
=
convert
def
add_conversion_fn
(
self
,
unit
,
fn
):
self
.
conversions
[
unit
]
=
fn
def
get_conversion_fn
(
self
,
unit
):
return
self
.
conversions
[
unit
]
def
convert_value_to
(
self
,
value
,
unit
):
conversion_fn
=
self
.
conversions
[
unit
]
ret
=
conversion_fn
(
value
)
return
ret
def
get_unit
(
self
):
return
self
class
UnitResolver
(
object
):
def
addition_rule
(
self
,
units
):
for
unit_1
,
unit_2
in
zip
(
units
[:
-
1
],
units
[
1
:]):
if
(
unit_1
!=
unit_2
):
return
NotImplemented
return
units
[
0
]
def
multiplication_rule
(
self
,
units
):
non_null
=
[
u
for
u
in
units
if
u
]
if
(
len
(
non_null
)
>
1
):
return
NotImplemented
return
non_null
[
0
]
op_dict
=
{
'__mul__'
:
multiplication_rule
,
'__rmul__'
:
multiplication_rule
,
'__add__'
:
addition_rule
,
'__radd__'
:
addition_rule
,
'__sub__'
:
addition_rule
,
'__rsub__'
:
addition_rule
}
def
__call__
(
self
,
operation
,
units
):
if
(
operation
not
in
self
.
op_dict
):
return
NotImplemented
return
self
.
op_dict
[
operation
](
self
,
units
)
unit_resolver
=
UnitResolver
()
cm
=
BasicUnit
(
'cm'
,
'centimeters'
)
inch
=
BasicUnit
(
'inch'
,
'inches'
)
inch
.
add_conversion_factor
(
cm
,
2.54
)
cm
.
add_conversion_factor
(
inch
,
1
/
2.54
)
radians
=
BasicUnit
(
'rad'
,
'radians'
)
degrees
=
BasicUnit
(
'deg'
,
'degrees'
)
radians
.
add_conversion_factor
(
degrees
,
180.0
/
np
.
pi
)
degrees
.
add_conversion_factor
(
radians
,
np
.
pi
/
180.0
)
secs
=
BasicUnit
(
's'
,
'seconds'
)
hertz
=
BasicUnit
(
'Hz'
,
'Hertz'
)
minutes
=
BasicUnit
(
'min'
,
'minutes'
)
secs
.
add_conversion_fn
(
hertz
,
lambda
x
:
1.
/
x
)
secs
.
add_conversion_factor
(
minutes
,
1
/
60.0
)
# radians formatting
def
rad_fn
(
x
,
pos
=
None
):
n
=
int
((
x
/
np
.
pi
)
*
2.0
+
0.25
)
if
n
==
0
:
return
'0'
elif
n
==
1
:
return
r'$\pi/2$'
elif
n
==
2
:
return
r'$\pi$'
elif
n
%
2
==
0
:
return
r'$%s\pi$'
%
(
n
//
2
,)
else
:
return
r'$%s\pi/2$'
%
(
n
,)
class
BasicUnitConverter
(
units
.
ConversionInterface
):
@
staticmethod
def
axisinfo
(
unit
,
axis
):
'return AxisInfo instance for x and unit'
if
unit
==
radians
:
return
units
.
AxisInfo
(
majloc
=
ticker
.
MultipleLocator
(
base
=
np
.
pi
/
2
),
majfmt
=
ticker
.
FuncFormatter
(
rad_fn
),
label
=
unit
.
fullname
,
)
elif
unit
==
degrees
:
return
units
.
AxisInfo
(
majloc
=
ticker
.
AutoLocator
(),
majfmt
=
ticker
.
FormatStrFormatter
(
r'$%i^\circ$'
),
label
=
unit
.
fullname
,
)
elif
unit
is
not
None
:
if
hasattr
(
unit
,
'fullname'
):
return
units
.
AxisInfo
(
label
=
unit
.
fullname
)
elif
hasattr
(
unit
,
'unit'
):
return
units
.
AxisInfo
(
label
=
unit
.
unit
.
fullname
)
return
None
@
staticmethod
def
convert
(
val
,
unit
,
axis
):
if
units
.
ConversionInterface
.
is_numlike
(
val
):
return
val
if
iterable
(
val
):
return
[
thisval
.
convert_to
(
unit
).
get_value
()
for
thisval
in
val
]
else
:
return
val
.
convert_to
(
unit
).
get_value
()
@
staticmethod
def
default_units
(
x
,
axis
):
'return the default unit for x or None'
if
iterable
(
x
):
for
thisx
in
x
:
return
thisx
.
unit
return
x
.
unit
def
cos
(
x
):
if
iterable
(
x
):
return
[
math
.
cos
(
val
.
convert_to
(
radians
).
get_value
())
for
val
in
x
]
else
:
return
math
.
cos
(
x
.
convert_to
(
radians
).
get_value
())
basicConverter
=
BasicUnitConverter
()
units
.
registry
[
BasicUnit
]
=
basicConverter
units
.
registry
[
TaggedValue
]
=
basicConverter
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