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Commit 8c929980 authored by csongor's avatar csongor
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WIP: lm transformations in cython

parent 31a4e7e3
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Showing with 164 additions and 369 deletions
nifty/operators/fft_operator/transformations/gllmtransformation.py
View file @ 8c929980
......@@ -4,7 +4,9 @@ from d2o import distributed_data_object
from nifty.config import dependency_injector as gdi
import nifty.nifty_utilities as utilities
from nifty import GLSpace, LMSpace
import lm_transformation_factory as ltf
hp = gdi.get('healpy')
gl = gdi.get('libsharp_wrapper_gl')
......@@ -110,14 +112,27 @@ class GLLMTransformation(Transformation):
return_val = np.empty_like(temp_val)
inp = temp_val[slice_list]
if self.domain.dtype == np.dtype('float32'):
inp = gl.map2alm_f(inp,
nlat=nlat, nlon=nlon,
lmax=lmax, mmax=mmax)
if self.domain.dtype == np.dtype('complex128'):
inpReal = gl.map2alm(
np.real(inp).astype(np.float64, copy=False), nlat=nlat,
nlon=nlon, lmax=lmax, mmax=mmax)
inpImg = gl.map2alm(
np.imag(inp).astype(np.float64, copy=False), nlat=nlat,
nlon=nlon, lmax=lmax, mmax=mmax)
#TODO gl shouldn't depend on hp
lmaxArray, mmaxArray = hp.Alm.getlm(lmax=lmax)
inpReal = ltf.buildIdx(inpReal, lmaxArray, mmaxArray)
inpImg = ltf.buildIdx(inpImg, lmaxArray, mmaxArray)
inp = inpReal + inpImg * 1j
else:
inp = gl.map2alm(inp,
nlat=nlat, nlon=nlon,
lmax=lmax, mmax=mmax)
if self.domain.dtype == np.dtype('float32'):
inp = gl.map2alm_f(inp,
nlat=nlat, nlon=nlon,
lmax=lmax, mmax=mmax)
else:
inp = gl.map2alm(inp,
nlat=nlat, nlon=nlon,
lmax=lmax, mmax=mmax)
if slice_list == [slice(None, None)]:
return_val = inp
......
nifty/operators/fft_operator/transformations/hplmtransformation.py
View file @ 8c929980
......@@ -5,6 +5,8 @@ from nifty.config import dependency_injector as gdi
import nifty.nifty_utilities as utilities
from nifty import HPSpace, LMSpace
import lm_transformation_factory as ltf
hp = gdi.get('healpy')
......@@ -106,9 +108,23 @@ class HPLMTransformation(Transformation):
return_val = np.empty_like(temp_val)
inp = temp_val[slice_list]
inp = hp.map2alm(inp.astype(np.float64, copy=False),
lmax=lmax, mmax=mmax, iter=niter, pol=True,
use_weights=False, datapath=None)
if self.domain.dtype == np.dtype('complex128'):
inpReal = hp.map2alm(
np.real(inp).astype(np.float64, copy=False),
lmax=lmax, mmax=mmax, iter=niter, pol=True,
use_weights=False, datapath=None)
inpImg = hp.map2alm(
np.imag(inp).astype(np.float64, copy=False),
lmax=lmax, mmax=mmax, iter=niter, pol=True,
use_weights=False, datapath=None)
lmaxArray, mmaxArray = hp.Alm.getlm(lmax=lmax)
inpReal = ltf.buildIdx(inpReal,lmaxArray, mmaxArray)
inpImg = ltf.buildIdx(inpImg,lmaxArray, mmaxArray)
inp = inpReal + inpImg * 1j
else:
inp = hp.map2alm(inp.astype(np.float64, copy=False),
lmax=lmax, mmax=mmax, iter=niter, pol=True,
use_weights=False, datapath=None)
if slice_list == [slice(None, None)]:
return_val = inp
......
nifty/operators/fft_operator/transformations/lm_transformation_factory.pyx 0 → 100644
View file @ 8c929980
import numpy as np
cimport numpy as np
cpdef buildIdx(np.ndarray[np.complex128_t, ndim=1] nr, np.ndarray[np.int_t] l, np.ndarray[np.int_t] m, np.int_t lmax):
cdef np.int size = (lmax+1)*(lmax+1)
cdef np.ndarray res=np.zeros([size], dtype=np.complex128)
cdef np.ndarray final=np.zeros([size], dtype=np.float64)
res[0:lmax+1] = nr[0:lmax+1]
cdef np.ndarray resL=np.zeros([size], dtype=np.int)
resL[0:lmax+1] = np.arange(lmax+1)
cdef np.ndarray resM=np.zeros([size], dtype=np.int)
for i in xrange(len(nr)-lmax-1):
res[i*2+lmax+1] = nr[i+lmax+1]
res[i*2+lmax+2] = np.conjugate(nr[i+lmax+1])
resL[i*2+lmax+1] = l[i+lmax+1]
resL[i*2+lmax+2] = l[i+lmax+1]
resM[i*2+lmax+1] = m[i+lmax+1]
resM[i*2+lmax+2] = -m[i+lmax+1]
final = realify(res,resL, resM)
return final, resL, resM
cpdef buildLm(np.ndarray[np.float64_t, ndim=1] nr, np.ndarray[np.int_t] l, np.ndarray[np.int_t] m, np.int_t lmax):
cdef np.int size = (len(nr)-lmax-1)/2+lmax+1
cdef np.ndarray res=np.zeros([size], dtype=np.complex128)
cdef np.ndarray temp=np.zeros([len(nr)], dtype=np.complex128)
res[0:lmax+1] = nr[0:lmax+1]
cdef np.ndarray resL=np.zeros([size], dtype=np.int)
resL[0:lmax+1] = np.arange(lmax+1)
cdef np.ndarray resM=np.zeros([size], dtype=np.int)
temp = inverseRealify(nr, l, m)
for i in xrange(0,len(temp)-lmax-1,2):
res[i/2+lmax+1] = temp[i+lmax+1]
resL[i/2+lmax+1] = l[i+lmax+1]
resM[i/2+lmax+1] = m[i+lmax+1]
return res,resL,resM
cpdef np.ndarray[np.float64_t, ndim=1] realify(np.ndarray[np.complex128_t, ndim=1] nr, np.ndarray[np.int_t] l, np.ndarray[np.int_t] m):
cdef np.ndarray resi=np.zeros([len(nr)], dtype=np.float64)
for i in xrange(len(nr)):
if m[i]<0:
resi[i]=np.sqrt(2)*np.imag(nr[i-1])*(-1)**(m[i]*m[i])
elif m[i]>0:
resi[i]=np.sqrt(2)*np.real(nr[i])*(-1)**(m[i]*m[i])
else:
resi[i]=np.real(nr[i])
return resi
cpdef np.ndarray[np.complex128_t, ndim=1] inverseRealify(np.ndarray[np.float64_t, ndim=1] nr, np.ndarray[np.int_t] l, np.ndarray[np.int_t] m):
cdef np.ndarray resi=np.zeros([len(nr)], dtype=np.complex128)
for i in xrange(len(nr)):
if m[i]<0:
resi[i]=1/np.sqrt(2)*(nr[i-1]-1j*nr[i])
elif m[i]>0:
resi[i]=(-1)**m[i]/np.sqrt(2)*(nr[i]+1j*nr[i+1])
else:
resi[i]=np.real(nr[i])
return resi
nifty/spaces/lm_space/lm_space.py
View file @ 8c929980
......@@ -15,8 +15,6 @@ from nifty.config import about,\
nifty_configuration as gc,\
dependency_injector as gdi
LMSpaceParadict = None
# from nifty.nifty_power_indices import lm_power_indices
from nifty.nifty_random import random
gl = gdi.get('libsharp_wrapper_gl')
......@@ -118,43 +116,9 @@ class LMSpace(Space):
raise ImportError(about._errors.cstring(
"ERROR: neither libsharp_wrapper_gl nor healpy activated."))
self._cache_dict = {'check_codomain': {}}
self.paradict = LMSpaceParadict(lmax=lmax, mmax=mmax)
# check data type
dtype = np.dtype(dtype)
if dtype not in [np.dtype('complex64'), np.dtype('complex128')]:
about.warnings.cprint("WARNING: data type set to complex128.")
dtype = np.dtype('complex128')
self.dtype = dtype
self.harmonic = True
self.distances = (np.float(1),)
self.power_indices = lm_power_indices(
lmax=self.paradict['lmax'],
dim=self.dim,
allowed_distribution_strategies=LM_DISTRIBUTION_STRATEGIES)
@property
def para(self):
temp = np.array([self.paradict['lmax'],
self.paradict['mmax']], dtype=int)
return temp
@para.setter
def para(self, x):
self.paradict['lmax'] = x[0]
self.paradict['mmax'] = x[1]
def __hash__(self):
result_hash = 0
for (key, item) in vars(self).items():
if key in ['_cache_dict', 'power_indices']:
continue
result_hash ^= item.__hash__() * hash(key)
return result_hash
super(LMSpace, self).__init__(dtype)
self._lmax = self._parse_lmax(lmax)
self._mmax = self._parse_mmax(mmax)
def _identifier(self):
# Extract the identifying parts from the vars(self) dict.
......@@ -167,16 +131,21 @@ class LMSpace(Space):
return tuple(sorted(temp))
def copy(self):
return LMSpace(lmax=self.paradict['lmax'],
mmax=self.paradict['mmax'],
return self.__class__(lmax=self.lmax,
mmax=self.mmax,
dtype=self.dtype)
@property
def shape(self):
lmax = self.paradict['lmax']
mmax = self.paradict['mmax']
return (np.int((mmax + 1) * (lmax + 1) - ((mmax + 1) * mmax) // 2),)
return (np.int((self.mmax + 1) * (self.lmax + 1)),)
@property
def dim(self):
return np.int((self.mmax + 1) * (self.lmax + 1))
@property
def harmonic(self):
return True
@property
def meta_volume(self):
......@@ -288,59 +257,6 @@ class LMSpace(Space):
return False
def get_codomain(self, coname=None, **kwargs):
"""
Generates a compatible codomain to which transformations are
reasonable, i.e.\ a pixelization of the two-sphere.
Parameters
----------
coname : string, *optional*
String specifying a desired codomain (default: None).
Returns
-------
codomain : nifty.space
A compatible codomain.
Notes
-----
Possible arguments for `coname` are ``'gl'`` in which case a Gauss-
Legendre pixelization [#]_ of the sphere is generated, and ``'hp'``
in which case a HEALPix pixelization [#]_ is generated.
References
----------
.. [#] K.M. Gorski et al., 2005, "HEALPix: A Framework for
High-Resolution Discretization and Fast Analysis of Data
Distributed on the Sphere", *ApJ* 622..759G.
.. [#] M. Reinecke and D. Sverre Seljebotn, 2013,
"Libsharp - spherical
harmonic transforms revisited";
`arXiv:1303.4945 <http://www.arxiv.org/abs/1303.4945>`_
"""
from hp_space import HPSpace
from gl_space import GLSpace
if coname == 'gl' or (coname is None and gc['lm2gl']):
if self.dtype == np.dtype('complex64'):
new_dtype = np.float32
elif self.dtype == np.dtype('complex128'):
new_dtype = np.float64
else:
raise NotImplementedError
nlat = self.paradict['lmax'] + 1
nlon = self.paradict['lmax'] * 2 + 1
return GLSpace(nlat=nlat, nlon=nlon, dtype=new_dtype)
elif coname == 'hp' or (coname is None and not gc['lm2gl']):
nside = (self.paradict['lmax']+1) // 3
return HPSpace(nside=nside)
else:
raise ValueError(about._errors.cstring(
"ERROR: unsupported or incompatible codomain '"+coname+"'."))
def get_random_values(self, **kwargs):
"""
Generates random field values according to the specifications given
......@@ -426,37 +342,6 @@ class LMSpace(Space):
sample = self.cast(sample)
return sample
# def calc_dot(self, x, y):
# """
# Computes the discrete inner product of two given arrays of field
# values.
#
# Parameters
# ----------
# x : numpy.ndarray
# First array
# y : numpy.ndarray
# Second array
#
# Returns
# -------
# dot : scalar
# Inner product of the two arrays.
# """
# x = self.cast(x)
# y = self.cast(y)
#
# lmax = self.paradict['lmax']
#
# x_low = x[:lmax + 1]
# x_high = x[lmax + 1:]
# y_low = y[:lmax + 1]
# y_high = y[lmax + 1:]
#
# dot = (x_low.real * y_low.real).sum()
# dot += 2 * (x_high.real * y_high.real).sum()
# dot += 2 * (x_high.imag * y_high.imag).sum()
# return dot
def dot_contraction(self, x, axes):
assert len(axes) == 1
......@@ -472,187 +357,6 @@ class LMSpace(Space):
result = x[low_extractor].sum(axes) + 2 * x[high_extractor].sum(axes)
return result
def calc_transform(self, x, codomain=None, **kwargs):
"""
Computes the transform of a given array of field values.
Parameters
----------
x : numpy.ndarray
Array to be transformed.
codomain : nifty.space, *optional*
codomain space to which the transformation shall map
(default: self).
Returns
-------
Tx : numpy.ndarray
Transformed array
"""
x = self.cast(x)
if codomain is None:
codomain = self.get_codomain()
# Check if the given codomain is suitable for the transformation
if not self.check_codomain(codomain):
raise ValueError(about._errors.cstring(
"ERROR: unsupported codomain."))
# if self.distribution_strategy != 'not':
# about.warnings.cprint(
# "WARNING: Field data is consolidated to all nodes for "
# "external alm2map method!")
np_x = x.get_full_data()
from hp_space import HPSpace
from gl_space import GLSpace
if isinstance(codomain, GLSpace):
nlat = codomain.paradict['nlat']
nlon = codomain.paradict['nlon']
lmax = self.paradict['lmax']
mmax = self.paradict['mmax']
# transform
if self.dtype == np.dtype('complex64'):
np_Tx = gl.alm2map_f(np_x, nlat=nlat, nlon=nlon,
lmax=lmax, mmax=mmax, cl=False)
else:
np_Tx = gl.alm2map(np_x, nlat=nlat, nlon=nlon,
lmax=lmax, mmax=mmax, cl=False)
Tx = codomain.cast(np_Tx)
elif isinstance(codomain, HPSpace):
nside = codomain.paradict['nside']
lmax = self.paradict['lmax']
mmax = self.paradict['mmax']
# transform
np_x = np_x.astype(np.complex128, copy=False)
np_Tx = hp.alm2map(np_x, nside, lmax=lmax,
mmax=mmax, pixwin=False, fwhm=0.0, sigma=None,
pol=True, inplace=False)
Tx = codomain.cast(np_Tx)
else:
raise ValueError(about._errors.cstring(
"ERROR: unsupported transformation."))
return codomain.cast(Tx)
def calc_smooth(self, x, sigma=0, **kwargs):
"""
Smoothes an array of field values by convolution with a Gaussian
kernel in position space.
Parameters
----------
x : numpy.ndarray
Array of field values to be smoothed.
sigma : float, *optional*
Standard deviation of the Gaussian kernel, specified in units
of length in position space; for testing: a sigma of -1 will be
reset to a reasonable value (default: 0).
Returns
-------
Gx : numpy.ndarray
Smoothed array.
"""
x = self.cast(x)
# check sigma
if sigma == 0:
return self.unary_operation(x, op='copy')
elif sigma == -1:
about.infos.cprint("INFO: invalid sigma reset.")
sigma = np.sqrt(2) * np.pi / (self.paradict['lmax'] + 1)
elif sigma < 0:
raise ValueError(about._errors.cstring("ERROR: invalid sigma."))
# if self.distribution_strategy != 'not':
# about.warnings.cprint(
# "WARNING: Field data is consolidated to all nodes for "
# "external smoothalm method!")
np_x = x.get_full_data()
if gc['use_healpy']:
np_smoothed_x = hp.smoothalm(np_x,
fwhm=0.0,
sigma=sigma,
pol=True,
mmax=self.paradict['mmax'],
verbose=False,
inplace=False)
else:
np_smoothed_x = gl.smoothalm(np_x,
lmax=self.paradict['lmax'],
mmax=self.paradict['mmax'],
fwhm=0.0,
sigma=sigma,
overwrite=False)
return self.cast(np_smoothed_x)
def calc_power(self, x, **kwargs):
"""
Computes the power of an array of field values.
Parameters
----------
x : numpy.ndarray
Array containing the field values of which the power is to be
calculated.
Returns
-------
spec : numpy.ndarray
Power contained in the input array.
"""
x = self.cast(x)
lmax = self.paradict['lmax']
mmax = self.paradict['mmax']
# if self.distribution_strategy != 'not':
# about.warnings.cprint(
# "WARNING: Field data is consolidated to all nodes for "
# "external anaalm/alm2cl method!")
np_x = x.get_full_data()
# power spectrum
if self.dtype == np.dtype('complex64'):
if gc['use_libsharp']:
result = gl.anaalm_f(np_x, lmax=lmax, mmax=mmax)
else:
np_x = np_x.astype(np.complex128, copy=False)
result = hp.alm2cl(np_x,
alms2=None,
lmax=lmax,
mmax=mmax,
lmax_out=lmax,
nspec=None)
else:
if gc['use_healpy']:
result = hp.alm2cl(np_x,
alms2=None,
lmax=lmax,
mmax=mmax,
lmax_out=lmax,
nspec=None)
else:
result = gl.anaalm(np_x,
lmax=lmax,
mmax=mmax)
if self.dtype == np.dtype('complex64'):
result = result.astype(np.float32, copy=False)
elif self.dtype == np.dtype('complex128'):
result = result.astype(np.float64, copy=False)
else:
raise NotImplementedError(about._errors.cstring(
"ERROR: dtype %s not known to calc_power method." %
str(self.dtype)))
def get_plot(self, x, title="", vmin=None, vmax=None, power=True,
norm=None, cmap=None, cbar=True, other=None, legend=False,
mono=True, **kwargs):
......@@ -849,3 +553,36 @@ class LMSpace(Space):
).astype(np.int)
l = index - self.paradict['lmax'] * m + m * (m - 1) // 2
return l, m
# ---Added properties and methods---
@property
def lmax(self):
return self._lmax
@property
def mmax(self):
return self._mmax
def _parse_lmax(self, lmax):
lmax = np.int(lmax)
if lmax < 1:
raise ValueError(about._errors.cstring(
"ERROR: lmax: nonpositive number."))
# exception lmax == 2 (nside == 1)
if (lmax % 2 == 0) and (lmax > 2):
about.warnings.cprint(
"WARNING: unrecommended parameter (lmax <> 2*n+1).")
return lmax
def _parse_mmax(self, mmax):
mmax = int(mmax)
if (mmax < 1) or(mmax > self.lmax):
about.warnings.cprint(
"WARNING: mmax parameter set to default.")
mmax = self.lmax
if(mmax != self.lmax):
about.warnings.cprint(
"WARNING: unrecommended parameter set (mmax <> lmax).")
return mmax
nifty/spaces/lm_space/lm_space_paradict.py deleted 100644 → 0
View file @ 31a4e7e3
# -*- coding: utf-8 -*-
#import numpy as np
#from nifty.config import about
#from nifty.spaces.space import SpaceParadict
#
#
#class LMSpaceParadict(SpaceParadict):
#
# def __init__(self, lmax, mmax):
# SpaceParadict.__init__(self, lmax=lmax)
# if mmax is None:
# mmax = -1
# self['mmax'] = mmax
#
# def __setitem__(self, key, arg):
# if key not in ['lmax', 'mmax']:
# raise ValueError(about._errors.cstring(
# "ERROR: Unsupported LMSpace parameter: " + key))
#
# if key == 'lmax':
# temp = np.int(arg)
# if temp < 1:
# raise ValueError(about._errors.cstring(
# "ERROR: lmax: nonpositive number."))
# # exception lmax == 2 (nside == 1)
# if (temp % 2 == 0) and (temp > 2):
# about.warnings.cprint(
# "WARNING: unrecommended parameter (lmax <> 2*n+1).")
# try:
# if temp < self['mmax']:
# about.warnings.cprint(
# "WARNING: mmax parameter set to lmax.")
# self['mmax'] = temp