# Copyright (c) 2003-2024 by Mike Jarvis
#
# TreeCorr is free software: redistribution and use in source and binary forms,
# with or without modification, are permitted provided that the following
# conditions are met:
#
# 1. Redistributions of source code must retain the above copyright notice, this
# list of conditions, and the disclaimer given in the accompanying LICENSE
# file.
# 2. Redistributions in binary form must reproduce the above copyright notice,
# this list of conditions, and the disclaimer given in the documentation
# and/or other materials provided with the distribution.
"""
.. module:: ngcorrelation
"""
import numpy as np
from . import _treecorr
from .catalog import calculateVarT
from .nzcorrelation import BaseNZCorrelation
[docs]class NTCorrelation(BaseNZCorrelation):
r"""This class handles the calculation and storage of a 2-point count-trefoil correlation
function, where a trefoil is any field with spin-3 rotational properties.
See the doc string of `Corr3` for a description of how the triangles are binned along
with the attributes related to the different binning options.
In addition to the attributes common to all `Corr2` subclasses, objects of this class
hold the following attributes:
Attributes:
xi: The correlation function, :math:`\xi(r) = \langle t_R\rangle`.
xi_im: The imaginary part of :math:`\xi(r)`.
varxi: An estimate of the variance of :math:`\xi`
cov: An estimate of the full covariance matrix.
raw_xi: The raw value of xi, uncorrected by an RT calculation. cf. `calculateXi`
raw_xi_im: The raw value of xi_im, uncorrected by an RT calculation. cf. `calculateXi`
raw_varxi: The raw value of varxi, uncorrected by an RT calculation. cf. `calculateXi`
.. note::
The default method for estimating the variance and covariance attributes (``varxi``,
and ``cov``) is 'shot', which only includes the shape noise propagated into
the final correlation. This does not include sample variance, so it is always an
underestimate of the actual variance. To get better estimates, you need to set
``var_method`` to something else and use patches in the input catalog(s).
cf. `Covariance Estimates`.
The typical usage pattern is as follows:
>>> nt = treecorr.NTCorrelation(config)
>>> nt.process(cat1,cat2) # Compute the cross-correlation.
>>> nt.write(file_name) # Write out to a file.
>>> xi = nt.xi # Or access the correlation function directly.
Parameters:
config (dict): A configuration dict that can be used to pass in kwargs if desired.
This dict is allowed to have addition entries besides those listed
in `Corr2`, which are ignored here. (default: None)
logger: If desired, a logger object for logging. (default: None, in which case
one will be built according to the config dict's verbose level.)
Keyword Arguments:
**kwargs: See the documentation for `Corr2` for the list of allowed keyword
arguments, which may be passed either directly or in the config dict.
"""
_cls = 'NTCorrelation'
_letter1 = 'N'
_letter2 = 'T'
_letters = 'NT'
_builder = _treecorr.NTCorr
_calculateVar1 = lambda *args, **kwargs: None
_calculateVar2 = staticmethod(calculateVarT)
_zreal = 'tR'
_zimag = 'tR_im'
[docs] def finalize(self, vart):
"""Finalize the calculation of the correlation function.
The `Corr2.process_cross` command accumulates values in each bin, so it can be called
multiple times if appropriate. Afterwards, this command finishes the calculation
by dividing each column by the total weight.
Parameters:
vart (float): The variance per component of the trefoil field.
"""
super().finalize(vart)
[docs] def calculateXi(self, *, rt=None):
r"""Calculate the correlation function possibly given another correlation function
that uses random points for the foreground objects.
- If rt is None, the simple correlation function :math:`\langle t_R\rangle` is
returned.
- If rt is not None, then a compensated calculation is done:
:math:`\langle t_R\rangle = (DT - RT)`, where DT represents the mean radial trefoil
field around the data points and RT represents the mean radial trefoil field around
random points.
After calling this function, the attributes ``xi``, ``xi_im``, ``varxi``, and ``cov`` will
correspond to the compensated values (if rt is provided). The raw, uncompensated values
are available as ``rawxi``, ``raw_xi_im``, and ``raw_varxi``.
Parameters:
rt (NTCorrelation): The cross-correlation using random locations as the lenses
(RT), if desired. (default: None)
Returns:
Tuple containing
- xi = array of the real part of :math:`\xi(R)`
- xi_im = array of the imaginary part of :math:`\xi(R)`
- varxi = array of the variance estimates of the above values
"""
return super().calculateXi(rz=rt)
[docs] def write(self, file_name, *, rt=None, file_type=None, precision=None,
write_patch_results=False, write_cov=False):
r"""Write the correlation function to the file, file_name.
- If rt is None, the simple correlation function :math:`\langle t_R\rangle` is used.
- If rt is not None, then a compensated calculation is done:
:math:`\langle t_R\rangle = (DT - RT)`, where DT represents the mean trefoil field
around the data points and RT represents the mean trefoil field around random points.
The output file will include the following columns:
========== =============================================================
Column Description
========== =============================================================
r_nom The nominal center of the bin in r
meanr The mean value :math:`\langle r \rangle` of pairs that fell
into each bin
meanlogr The mean value :math:`\langle \log(r) \rangle` of pairs that
fell into each bin
tR The mean real part of the trefoil field relative to the
center points.
tR_im The mean imaginary part of the trefoil field relative to the
center points.
sigma The sqrt of the variance estimate of either of these
weight The total weight contributing to each bin
npairs The total number of pairs in each bin
========== =============================================================
If ``sep_units`` was given at construction, then the distances will all be in these units.
Otherwise, they will be in either the same units as x,y,z (for flat or 3d coordinates) or
radians (for spherical coordinates).
Parameters:
file_name (str): The name of the file to write to.
rt (NTCorrelation): The cross-correlation using random locations as the lenses
(RT), if desired. (default: None)
file_type (str): The type of file to write ('ASCII' or 'FITS'). (default: determine
the type automatically from the extension of file_name.)
precision (int): For ASCII output catalogs, the desired precision. (default: 4;
this value can also be given in the constructor in the config dict.)
write_patch_results (bool): Whether to write the patch-based results as well.
(default: False)
write_cov (bool): Whether to write the covariance matrix as well. (default: False)
"""
super().write(file_name, rt, file_type, precision, write_patch_results, write_cov)