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ift
NIFTy
Commits
61a68dca
Commit
61a68dca
authored
May 11, 2017
by
Theo Steininger
Browse files
Merge branch 'space_docu' into 'master'
Changed RGSpace fft smoothing kernel to be Gaussian, added some See merge request
!91
parents
3e07e212
ab4c5cef
Pipeline
#12254
passed with stages
in 12 minutes and 34 seconds
Changes
7
Pipelines
1
Hide whitespace changes
Inline
Sidebyside
nifty/domain_object.py
View file @
61a68dca
...
...
@@ 41,6 +41,20 @@ class DomainObject(Versionable, Loggable, object):
return
result_hash
def
__eq__
(
self
,
x
):
""" Checks if two domain_objects are equal.
Parameters

x: domain_object
The domain_object `self` is compared to.
Returns

bool
True if `self` and x describe the same manifold.
"""
if
isinstance
(
x
,
type
(
self
)):
for
key
in
vars
(
self
).
keys
():
item1
=
vars
(
self
)[
key
]
...
...
@@ 58,23 +72,137 @@ class DomainObject(Versionable, Loggable, object):
@
abc
.
abstractproperty
def
shape
(
self
):
""" Returns the shape of the underlying arraylike object.
Returns

tuple of ints
The shape of the underlying arraylike object.
Raises

NotImplementedError
If called for this abstract class.
"""
raise
NotImplementedError
(
"There is no generic shape for DomainObject."
)
@
abc
.
abstractproperty
def
dim
(
self
):
""" Returns the number of pixeldimensions the object has.
Returns

int
An Integer representing the number of pixels the discretized
manifold has.
Raises

NotImplementedError
If called for this abstract class.
"""
raise
NotImplementedError
(
"There is no generic dim for DomainObject."
)
@
abc
.
abstractmethod
def
weight
(
self
,
x
,
power
=
1
,
axes
=
None
,
inplace
=
False
):
""" Weights the field on this domain with the space's volumeweights.
Weights hereby refer to integration weights, as they appear in
discretized integrals. Per default, this function mutliplies each bin
of the field x by its volume, which lets it behave like a density
(top form). However, different powers of the volume can be applied
with the power parameter. The axes parameter specifies which of the
field array's indices correspond to this domain.
Parameters

x : distributed_data_object
The fields data array.
power : int, *optional*
The power to which the volumeweight is raised (default: 1).
axes : {int, tuple}, *optional*
Specifies the axes of x which represent this domain
(default: None).
If axes==None:
weighting is applied with respect to all axes
inplace : bool, *optional*
If this is True, the weighting is done on the values of x,
if it is False, x is not modified and this method returns a
weighted copy of x (default: False).
Returns

distributed_data_object
A weighted version of x, with volumeweights raised to the
given power.
Raises

NotImplementedError
If called for this abstract class.
"""
raise
NotImplementedError
(
"There is no generic weightmethod for DomainObject."
)
def
pre_cast
(
self
,
x
,
axes
=
None
):
def
pre_cast
(
self
,
x
,
axes
):
""" Casts input for Field.val before Field performs the cast.
Parameters

x : {arraylike, castable}
an arraylike object or anything that can be cast to arrays.
axes : tuple of ints
Specifies the axes of x which correspond to this domain.
Returns

{arraylike, castable}
Processed input where casting that needs Spacespecific knowledge
(for example location of pixels on the manifold) was performed.
See Also

post_cast
Notes

Usually returns x, except if a power spectrum is given to a
PowerSpace, where this spectrum is evaluated at the power indices.
"""
return
x
def
post_cast
(
self
,
x
,
axes
=
None
):
def
post_cast
(
self
,
x
,
axes
):
""" Performs casting operations that are done after Field's cast.
Parameters

x : {arraylike, castable}
an arraylike object or anything that can be cast to arrays.
axes : tuple of ints
Specifies the axes of x which correspond to this domain.
See Also

pre_cast
Returns

distributed_data_object
Processed input where casting that needs Spacespecific knowledge
(for example location of pixels on the manifold) was performed.
"""
return
x
# Serialization
...
...
nifty/spaces/gl_space/gl_space.py
View file @
61a68dca
...
...
@@ 43,8 +43,15 @@ class GLSpace(Space):

nlat : int
Number of latitudinal bins, or rings.
nlon : int
Number of longitudinal bins.
nlon : int, *optional*
Number of longitudinal bins (default: ``2*nlat  1``).
Raises

ValueError
If input `nlat` or `nlon` is invalid.
ImportError
If the pyHealpix module is not available
See Also

...
...
@@ 65,28 +72,6 @@ class GLSpace(Space):
# Overwritten properties and methods
def
__init__
(
self
,
nlat
,
nlon
=
None
):
"""
Sets the attributes for a gl_space class instance.
Parameters

nlat : int
Number of latitudinal bins, or rings.
nlon : int, *optional*
Number of longitudinal bins (default: ``2*nlat  1``).
Returns

None
Raises

ValueError
If input `nlat` is invalid.
ImportError
If the pyHealpix module is not available
"""
if
'pyHealpix'
not
in
gdi
:
raise
ImportError
(
"The module pyHealpix is needed but not available."
)
...
...
@@ 150,10 +135,17 @@ class GLSpace(Space):
@
property
def
nlat
(
self
):
""" Number of latitudinal bins (or rings) that are used for this
pixelization.
"""
return
self
.
_nlat
@
property
def
nlon
(
self
):
""" Number of longditudinal bins that are used for this pixelization.
"""
return
self
.
_nlon
def
_parse_nlat
(
self
,
nlat
):
...
...
nifty/spaces/hp_space/hp_space.py
View file @
61a68dca
...
...
@@ 39,6 +39,11 @@ class HPSpace(Space):
Resolution parameter for the HEALPix discretization, resulting in
``12*nside**2`` pixels. Must be positive.
Raises

ValueError
If given `nside` < 1.
See Also

gl_space : A class for the GaussLegendre discretization of the
...
...
@@ 59,26 +64,6 @@ class HPSpace(Space):
# Overwritten properties and methods
def
__init__
(
self
,
nside
):
"""
Sets the attributes for a HPSpace class instance.
Parameters

nside : int
Resolution parameter for the HEALPix discretization, resulting
in ``12*nside**2`` pixels. Must be positive.
Returns

None
Raises

ValueError
If input `nside` is invalid.
"""
super
(
HPSpace
,
self
).
__init__
()
self
.
_nside
=
self
.
_parse_nside
(
nside
)
...
...
@@ 105,6 +90,7 @@ class HPSpace(Space):
return
self
.
__class__
(
nside
=
self
.
nside
)
def
weight
(
self
,
x
,
power
=
1
,
axes
=
None
,
inplace
=
False
):
weight
=
((
4
*
np
.
pi
)
/
(
12
*
self
.
nside
**
2
))
**
power
if
inplace
:
...
...
@@ 125,6 +111,9 @@ class HPSpace(Space):
@
property
def
nside
(
self
):
""" Returns the nside of the corresponding HEALPix pixelization.
The total number of pixels is 12*nside**2
"""
return
self
.
_nside
def
_parse_nside
(
self
,
nside
):
...
...
nifty/spaces/lm_space/lm_space.py
View file @
61a68dca
...
...
@@ 43,17 +43,21 @@ class LMSpace(Space):
Maximum :math:`\ell`value up to which the spherical harmonics
coefficients are to be used.
Notes:

This implementation implicitly sets the mmax parameter to lmax.
See Also

hp_space : A class for the HEALPix discretization of the sphere [#]_.
gl_space : A class for the GaussLegendre discretization of the
sphere [#]_.
Raises

ValueError
If given lmax is negative.
Notes

This implementation implicitly sets the mmax parameter to lmax.
References

.. [#] K.M. Gorski et al., 2005, "HEALPix: A Framework for
...
...
@@ 65,21 +69,6 @@ class LMSpace(Space):
"""
def
__init__
(
self
,
lmax
):
"""
Sets the attributes for an lm_space class instance.
Parameters

lmax : int
Maximum :math:`\ell`value up to which the spherical harmonics
coefficients are to be used.
Returns

None.
"""
super
(
LMSpace
,
self
).
__init__
()
self
.
_lmax
=
self
.
_parse_lmax
(
lmax
)
...
...
@@ 144,16 +133,32 @@ class LMSpace(Space):
return
res
def
get_fft_smoothing_kernel_function
(
self
,
sigma
):
# FIXME why x(x+1) ? add reference to paper!
return
lambda
x
:
np
.
exp
(

0.5
*
x
*
(
x
+
1
)
*
sigma
**
2
)
# Added properties and methods
@
property
def
lmax
(
self
):
""" Returns the maximal :math:`l` value of any spherical harmonics
:math:`Y_{lm}` that is represented in this Space.
"""
return
self
.
_lmax
@
property
def
mmax
(
self
):
""" Returns the maximal :math:`m` value of any spherical harmonic
:math:`Y_{lm}` that is represented in this Space. As :math:`m` goes
from :math:`l` to :math:`l` for every :math:`l` this just returns the
same as lmax.
See Also

lmax : Returns the maximal :math:`l`value of the spherical harmonics
being used.
"""
return
self
.
_lmax
def
_parse_lmax
(
self
,
lmax
):
...
...
nifty/spaces/power_space/power_space.py
View file @
61a68dca
...
...
@@ 64,7 +64,7 @@ class PowerSpace(Space):
self
.
_pundex
=
power_index
[
'pundex'
]
self
.
_k_array
=
power_index
[
'k_array'
]
def
pre_cast
(
self
,
x
,
axes
=
None
):
def
pre_cast
(
self
,
x
,
axes
):
if
callable
(
x
):
return
x
(
self
.
kindex
)
else
:
...
...
nifty/spaces/rg_space/rg_space.py
View file @
61a68dca
...
...
@@ 48,16 +48,36 @@ class RGSpace(Space):
NIFTY subclass for spaces of regular Cartesian grids.
Parameters

shape : {int, numpy.ndarray}
Number of grid points or numbers of gridpoints along each axis.
zerocenter : {bool, numpy.ndarray}, *optional*
Whether x==0 (or k==0, respectively) is located in the center of
the grid (or the center of each axis speparately) or not.
(default: False).
distances : {float, numpy.ndarray}, *optional*
Distance between two grid points along each axis
(default: None).
If distances==None:
if harmonic==True, all distances will be set to 1
if harmonic==False, the distance along each axis will be
set to the inverse of the number of points along that
axis.
harmonic : bool, *optional*
Whether the space represents a grid in position or harmonic space.
(default: False).
Attributes

harmonic : bool
Whether or not the grid represents a
Fourier basis
.
zerocenter :
{bool, numpy.ndarray}
Whether
the Fourier zeromode
is located in the center of
the grid
(or the center of each axis speparately) or not.
MR FIXME: this also does something if the space is not harmonic!
d
istance
s : {float, numpy.ndarray}
Distance between two grid points along each axis (default: None).
Whether or not the grid represents a
position or harmonic space
.
zerocenter :
tuple of bool
Whether
x==0 (or k==0, respectively)
is located in the center of
the grid
(or the center of each axis speparately) or not.
distances : tuple of floats
D
istance
between two grid points along the correpsonding axis.
"""
# Overwritten properties and methods
...
...
@@ 67,24 +87,7 @@ class RGSpace(Space):
"""
Sets the attributes for an RGSpace class instance.
Parameters

shape : {int, numpy.ndarray}
Number of grid points or numbers of gridpoints along each axis.
zerocenter : {bool, numpy.ndarray}, *optional*
Whether the Fourier zeromode is located in the center of the
grid (or the center of each axis speparately) or not
distances : {float, numpy.ndarray}, *optional*
Distance between two grid points along each axis
(default: None).
If distances==None:
if harmonic==True, all distances will be set to 1
if harmonic==False, the distance along each axis will be
set to the inverse of the number of points along that
axis.
harmonic : bool, *optional*
Whether the space represents a Fourier or a position grid
(default: False).
Returns

...
...
@@ 204,20 +207,21 @@ class RGSpace(Space):
return
result_x
def
get_distance_array
(
self
,
distribution_strategy
):
"""
Calculates an ndimensional array with its entries being the
lengths of the kvectors from the zero point of the grid.
MR FIXME: Since this is about kvectors, it might make sense to
throw NotImplementedError if harmonic==False.
""" Calculates an ndimensional array with its entries being the
lengths of the vectors from the zero point of the grid.
Parameters

None : All information is taken from the parent object.
Returns

nkdict : distributed_data_object
Parameters

distribution_strategy : str
The distribution_strategy which shall be used the returned
distributed_data_object.
Returns

distributed_data_object
A d2o containing the distances
"""
shape
=
self
.
shape
# prepare the distributed_data_object
nkdict
=
distributed_data_object
(
...
...
@@ 263,19 +267,36 @@ class RGSpace(Space):
return
dists
def
get_fft_smoothing_kernel_function
(
self
,
sigma
):
if
sigma
is
None
:
sigma
=
np
.
sqrt
(
2
)
*
np
.
max
(
self
.
distances
)
return
lambda
x
:
np
.
exp
(

2.
*
np
.
pi
**
2
*
x
**
2
*
sigma
**
2
)
return
lambda
x
:
np
.
exp
(

0.5
*
np
.
pi
**
2
*
x
**
2
*
sigma
**
2
)
# Added properties and methods
@
property
def
distances
(
self
):
"""Distance between two grid points along each axis. It is a tuple
of positive floating point numbers with the nth entry giving the
distances of grid points along the nth dimension.
"""
return
self
.
_distances
@
property
def
zerocenter
(
self
):
"""Returns True if grid points lie symmetrically around zero
Returns

bool
True if the grid points are centered around the 0 grid point. This
option is most common for harmonic spaces (where both conventions
are used) but may be used for position spaces, too.
"""
return
self
.
_zerocenter
def
_parse_shape
(
self
,
shape
):
...
...
nifty/spaces/space/space.py
View file @
61a68dca
...
...
@@ 22,68 +22,182 @@ from nifty.domain_object import DomainObject
class
Space
(
DomainObject
):
"""The abstract base class for all NIFTy spaces.
An instance of a space contains information about the manifolds geometry
and enhances the functionality of DomainObject by methods that are needed
for powerspectrum analysis and smoothing.
Parameters

None
Attributes

dim : np.int
Total number of dimensionality, i.e. the number of pixels.
harmonic : bool
Specifies whether the space is a signal or harmonic space.
total_volume : np.float
The total volume of the space.
shape : tuple of np.ints
The shape of the space's data array.
Raises

TypeError
Raised if instantiated directly.
Notes

`Space` is an abstract base class. In order to allow for instantiation the
methods `get_distance_array`, `total_volume` and `copy` must be implemented
as well as the abstract methods inherited from `DomainObject`.
See Also

distributor
"""
def
__init__
(
self
):
""" The abstract base class for all NIFTy spaces.
An instance of a space contains information about the manifolds
geometry and enhances the functionality of DomainObject by methods that
are needed for powerspectrum analysis and smoothing.
Parameters

None
Attributes

dim : np.int
Total number of dimensionality, i.e. the number of pixels.
harmonic : bool
Specifies whether the space is a signal or harmonic space.
total_volume : np.float
The total volume of the space.
shape : tuple of np.ints
The shape of the space's data array.
Raises

TypeError
Raised if instantiated directly.
Notes

`Space` is an abstract base class. In order to allow for instantiation
the methods `get_distance_array`, `total_volume` and `copy` must be
implemented as well as the abstract methods inherited from
`DomainObject`.
"""
super
(
Space
,
self
).
__init__
()
@
abc
.
abstractproperty
def
harmonic
(
self
):
""" Returns True if this space is a harmonic space.
Raises

NotImplementedError
If called for this abstract class.
"""
raise
NotImplementedError
@
abc
.
abstractproperty
def
total_volume
(
self
):
""" Returns the total volume of the space.
Returns

float
A real number representing the sum of all pixel volumes.
Raises

NotImplementedError
If called for this abstract class.
"""
raise
NotImplementedError
(
"There is no generic volume for the Space base class."
)
@
abc
.
abstractmethod
def
copy
(
self
):
""" Returns a copy of this Space instance.
Returns

Space
A copy of this instance.
"""
return
self
.
__class__
()
def
get_distance_array
(
self
,
distribution_strategy
):
""" The distances of the pixel to zero.
This returns an array that gives for each pixel its distance to the
center of the manifolds grid.