magnificationcurve.py 文件源码

def _B_0_function(self, z):
        """
        calculate B_0(z) function defined in:

        Gould A. 1994 ApJ 421L, 71 "Proper motions of MACHOs
        http://adsabs.harvard.edu/abs/1994ApJ...421L..71G

        Yoo J. et al. 2004 ApJ 603, 139 "OGLE-2003-BLG-262: Finite-Source
        Effects from a Point-Mass Lens"
        http://adsabs.harvard.edu/abs/2004ApJ...603..139Y

        """
        out = 4. * z / np.pi
        function = lambda x: (1.-value**2*np.sin(x)**2)**.5

        for (i, value) in enumerate(z):
            if value < 1.:
                out[i] *= ellipe(value*value)
            else:
                out[i] *= integrate.quad(function, 0., np.arcsin(1./value))[0]
        return out