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52 lines
2 KiB
Python
52 lines
2 KiB
Python
#+
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# VIDE -- Void IDentification and Examination -- ./python_tools/vide/apTools/chi2/cosmologyTools.py
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# Copyright (C) 2010-2014 Guilhem Lavaux
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# Copyright (C) 2011-2014 P. M. Sutter
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#
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# This program is free software; you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation; version 2 of the License.
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#
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License along
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# with this program; if not, write to the Free Software Foundation, Inc.,
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# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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#+
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# a suite of functions to compute expansion rates, angular diameter
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# distances, and expected void stretching
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import numpy as np
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import scipy.integrate as integrate
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import os
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from backend import *
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__all__=['expansion', 'angularDiameter', 'aveExpansion']
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# returns 1/E(z) for the given cosmology
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def expansion(z, Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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ez = Om * (1+z)**3 + (Ot-Om)# * (1+z)**(3.+3*wz)
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#ez = Om * (1+z)**3 + (Ot-Om)# * integrade.quad(eosDE, 0.0, z, args=(w0,wa))[0]
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ez = 1./np.sqrt(ez)
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return ez
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# returns DE value at redshift z
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def eosDE(z, w0 = -1.0, wa = 0.0):
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return w0 + wa*z/(1+z)
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# returns D_A(z) for the given cosmology
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def angularDiameter(z, Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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da = integrate.quad(expansion, 0.0, z, args=(Om, Ot, w0, wa))[0]
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return da
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# -----------------------------------------------------------------------------
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# returns average expected expansion for a given redshift range
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def aveExpansion(zStart, zEnd, Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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if zStart == 0.0: zStart = 1.e-6
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ave = integrate.quad(expansion, zStart, zEnd, args=(Om, Ot, w0, wa))[0]
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ave = (zEnd-zStart)/ave
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return ave
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