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Raw output: cosmo.c
001: #cython: language_level=3, boundscheck=False
002: """ Cython inverse efuncs for cosmology integrals"""
003:
004: cimport cython
005: from libc.math cimport exp, pow
006:
007: ## Inverse efunc methods for various dark energy subclasses
008: ## These take only scalar arguments since that is what the integral
009: ## routines give them.
010:
011: ## Implementation notes:
012: ## * Using a python list for nu_y seems to be faster than a ndarray,
013: ## given that nu_y generally has a small number of elements,
014: ## even when you turn off bounds checking, etc.
015: ## * Using pow(x, -0.5) is slightly faster than x**(-0.5) and
016: ## even more so than 1.0 / sqrt(x)
017: ## * Hardwiring in the p, 1/p, k, prefac values in nufunc is
018: ## nontrivially faster than declaring them with cdef
019:
020: ######### LambdaCDM
021: # No relativistic species
+022: def lcdm_inv_efunc_norel(double z, double Om0, double Ode0, double Ok0):
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025:
026: # Massless neutrinos
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031:
032: # With massive neutrinos
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039:
040: ######## FlatLambdaCDM
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045: # Massless neutrinos
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057:
058: ######## wCDM
059: # No relativistic species
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081:
082: ######## Flat wCDM
083: # No relativistic species
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102:
103: ######## w0waCDM
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127:
128: ######## Flatw0waCDM
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135:
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142:
143: # With massive neutrinos
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152:
153: ######## wpwaCDM
154: # No relativistic species
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160:
161: # Massless neutrinos
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168:
169: # With massive neutrinos
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178:
179: ######## w0wzCDM
180: # No relativistic species
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186:
187: # Massless neutrinos
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204:
205: ######## Neutrino relative density function
206: # Scalar equivalent to FLRW.nu_realative_density in core.py
207: # Please see that for further discussion.
208: # This should only be called with massive neutrinos (e.g., nu_y is not empty)
209: # Briefly, this is just a numerical fitting function to the true relationship,
210: # which is too expensive to want to evaluate directly. The
211: # constants which appear are:
212: # p = 1.83 -> numerical fitting constant from Komatsu et al.
213: # 1/p = 0.54644... -> same constant
214: # k = 0.3173 -> another fitting constant
215: # 7/8 (4/11)^(4/3) = 0.2271... -> fermion/boson constant for neutrino
216: # contribution -- see any cosmology book
217: # The Komatsu reference is: Komatsu et al. 2011, ApJS 192, 18
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