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): """ computes the mass enclosed within a sphere of radius r :param r: radius (arcsec) :param kwargs_profile: keyword argument list with lens model parameters :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 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]