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Merge branch 'main' into issue/588/miscentering_therory
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m-aguena committed Oct 18, 2024
2 parents d1ec770 + e7164d2 commit cf2c807
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Showing 5 changed files with 131 additions and 70 deletions.
2 changes: 1 addition & 1 deletion clmm/__init__.py
Original file line number Diff line number Diff line change
Expand Up @@ -26,4 +26,4 @@
)
from . import support

__version__ = "1.14.0"
__version__ = "1.14.1"
4 changes: 2 additions & 2 deletions clmm/utils/__init__.py
Original file line number Diff line number Diff line change
Expand Up @@ -13,8 +13,8 @@
from .boost import (
compute_nfw_boost,
compute_powerlaw_boost,
correct_sigma_with_boost_values,
correct_sigma_with_boost_model,
correct_with_boost_values,
correct_with_boost_model,
boost_models,
)

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108 changes: 65 additions & 43 deletions clmm/utils/boost.py
Original file line number Diff line number Diff line change
@@ -1,27 +1,42 @@
"""General utility functions that are used in multiple modules"""

import numpy as np


def compute_nfw_boost(rvals, rscale=1000, boost0=0.1):
"""Given a list of `rvals`, and optional `rscale` and `boost0`, return the corresponding
boost factor at each rval
def compute_nfw_boost(r_proj, r_scale, boost0=0.1):
r"""Computes the boost factor at radii r_proj using a parametric form
following that of the analytical NFW excess surface density.
Setting :math:`x = r_{\rm proj}/r_{\rm scale}`
.. math::
B(x) = 1 + B_0\frac{1-F(x)}{(x)^2 -1}
where
.. math::
F(x) = \begin{cases} \frac{\arctan \sqrt{x^2 -1 }}{\sqrt{x^2 -1 }} & \text{if $x>1$}, \\
\text{1} & \text{if x = 1}, \\
\frac{\text{arctanh} \sqrt{1-x^2 }}{\sqrt{1- x^2 }} & \text{if $x<1$}.
\end{cases}
Parameters
----------
rvals : array_like
r_proj : array_like
Radii
rscale : float, optional
scale radius for NFW in same units as rvals (default 2000 kpc)
boost0 : float, optional
Boost factor at each value of rvals
r_scale : float
Scale radius in same units as r_proj
boost0: float, optional
Boost factor normalisation
Returns
-------
array
Boost factor
Boost factor at each value of r_proj
"""

r_norm = np.array(rvals) / rscale
r_norm = np.array(r_proj) / r_scale

def _calc_finternal(r_norm):
radicand = r_norm**2 - 1
Expand All @@ -34,33 +49,37 @@ def _calc_finternal(r_norm):
/ (2 * np.lib.scimath.sqrt(radicand))
)

return np.nan_to_num(finternal, copy=False, nan=1.0).real
return np.nan_to_num((1 - finternal) / radicand, copy=False, nan=1.0 / 3.0).real
# return np.nan_to_num(finternal, copy=False, nan=1.0).real

return 1.0 + boost0 * _calc_finternal(r_norm)
# return 1.0 + boost0 * (1 - _calc_finternal(r_norm)) / (r_norm**2 - 1)

return 1.0 + boost0 * (1 - _calc_finternal(r_norm)) / (r_norm**2 - 1)

def compute_powerlaw_boost(r_proj, r_scale, boost0=0.1, alpha=-1):
r"""Computes the boost factor at radii r_proj using a power-law parametric form
def compute_powerlaw_boost(rvals, rscale=1000, boost0=0.1, alpha=-1.0):
"""Given a list of `rvals`, and optional `rscale` and `boost0`, and `alpha`,
return the corresponding boost factor at each `rval`
.. math::
B(r_{\rm proj}) = 1 + B_0 \left(\frac{r_{\rm proj}}{r_{\rm scale}}\right)^\alpha
Parameters
----------
rvals : array_like
r_proj : array_like
Radii
rscale : float, optional
Scale radius for NFW in same units as rvals (default 2000 kpc)
r_scale : float
Scale radius in same units as r_proj
boost0 : float, optional
Boost factor at each value of rvals
Boost factor normalisation
alpha : float, optional
Exponent from Melchior+16. Default: -1.0
Exponent for the power-law parametrisation. NB: -1.0 (as in Melchior+16)
Returns
-------
array
Boost factor
Boost factor at each value of r_proj
"""

r_norm = np.array(rvals) / rscale
r_norm = np.array(r_proj) / r_scale

return 1.0 + boost0 * (r_norm) ** alpha

Expand All @@ -71,51 +90,54 @@ def compute_powerlaw_boost(rvals, rscale=1000, boost0=0.1, alpha=-1.0):
}


def correct_sigma_with_boost_values(sigma_vals, boost_factors):
"""Given a list of boost values and sigma profile, compute corrected sigma
def correct_with_boost_values(profile_vals, boost_factors):
"""Given a list of profile values (e.g., shear or DeltaSigma) and boost values,
computes corrected profile
Parameters
----------
sigma_vals : array_like
uncorrected sigma with cluster member dilution
profile_vals : array_like
Uncorrected profile values
boost_factors : array_like
Boost values pre-computed
Boost values, pre-computed
Returns
-------
sigma_corrected : numpy.ndarray
correted radial profile
profile_vals_corrected : numpy.ndarray
Corrected radial profile
"""

sigma_corrected = np.array(sigma_vals) / np.array(boost_factors)
return sigma_corrected
profile_vals_corrected = np.array(profile_vals) / np.array(boost_factors)
return profile_vals_corrected


def correct_sigma_with_boost_model(rvals, sigma_vals, boost_model="nfw_boost", **boost_model_kw):
def correct_with_boost_model(r_proj, profile_vals, boost_model, boost_rscale, **boost_model_kw):
"""Given a boost model and sigma profile, compute corrected sigma
Parameters
----------
rvals : array_like
radii
sigma_vals : array_like
uncorrected sigma with cluster member dilution
boost_model : str, optional
r_proj : array_like
Radii
profile_vals : array_like
Uncorrected profile values
boost_model : str
Boost model to use for correcting sigma
* 'nfw_boost' - NFW profile model (Default)
* 'powerlaw_boost' - Powerlaw profile
boost_rscale : float
Scale radius to be used with the boost model
Returns
-------
sigma_corrected : numpy.ndarray
correted radial profile
profile_vals_corrected : numpy.ndarray
Correted radial profile
"""
boost_model_func = boost_models[boost_model]
boost_factors = boost_model_func(rvals, **boost_model_kw)
boost_factors = boost_model_func(r_proj, boost_rscale, **boost_model_kw)

sigma_corrected = np.array(sigma_vals) / boost_factors
return sigma_corrected
profile_vals_corrected = np.array(profile_vals) / boost_factors
return profile_vals_corrected


boost_models = {
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