Source code for lenstronomy.LensModel.profile_integrals
import copy
import scipy.integrate as integrate
import numpy as np
__all__ = ['ProfileIntegrals']
[docs]class ProfileIntegrals(object):
"""
class to perform integrals of spherical profiles to compute:
- projected densities
- enclosed densities
- projected enclosed densities
"""
def __init__(self, profile_class):
"""
:param profile_class: list of lens models
"""
self._profile = profile_class
[docs] def mass_enclosed_3d(self, r, kwargs_profile, lens_param=False):
"""
computes the mass enclosed within a sphere of radius r
:param r: radius (arcsec)
:param kwargs_profile: keyword argument list with lens model parameters
:param lens_param: boolean, if True uses the lens model parameterization in computing the 3d density convention
and the return is the convergence
:return: 3d mass enclosed of r
"""
kwargs = copy.deepcopy(kwargs_profile)
kwargs.pop('center_x', None)
kwargs.pop('center_y', None)
# integral of self._profile.density(x)* 4*np.pi * x^2 *dx, 0,r
if lens_param is True:
out = integrate.quad(lambda x: self._profile.density_lens(x, **kwargs) * 4 * np.pi * x ** 2, 0, r)
else:
out = integrate.quad(lambda x: self._profile.density(x, **kwargs)*4*np.pi*x**2, 0, r)
return out[0]
[docs] def density_2d(self, r, kwargs_profile, lens_param=False):
"""
computes the projected density along the line-of-sight
:param r: radius (arcsec)
:param kwargs_profile: keyword argument list with lens model parameters
:param lens_param: boolean, if True uses the lens model parameterization in computing the 3d density convention
and the return is the convergence
:return: 2d projected density at projected radius r
"""
kwargs = copy.deepcopy(kwargs_profile)
kwargs.pop('center_x', None)
kwargs.pop('center_y', None)
# integral of self._profile.density(np.sqrt(x^2+r^2))* dx, 0, infty
if lens_param is True:
out = integrate.quad(lambda x: 2 * self._profile.density_lens(np.sqrt(x ** 2 + r ** 2), **kwargs), 0, 100)
else:
out = integrate.quad(lambda x: 2*self._profile.density(np.sqrt(x**2+r**2), **kwargs), 0, 100)
return out[0]
[docs] def mass_enclosed_2d(self, r, kwargs_profile):
"""
computes the mass enclosed the projected line-of-sight
:param r: radius (arcsec)
:param kwargs_profile: keyword argument list with lens model parameters
:return: projected mass enclosed radius r
"""
kwargs = copy.deepcopy(kwargs_profile)
kwargs.pop('center_x', None)
kwargs.pop('center_y', None)
# integral of self.density_2d(x)* 2*np.pi * x *dx, 0, r
out = integrate.quad(lambda x: self.density_2d(x, kwargs)*2*np.pi*x, 0, r)
return out[0]