A notebook of useful things

Category: Code

The APC cluster (3): Montepython with Euclid likelihoods

The latest public release of Montepython includes Euclid likelihoods for the redshift survey (euclid_pk) and the cosmic shear survey (euclid_lensing).

The __init__.py  file needs to be edited because of Python syntax issues. If you try to use it as provided, you will get two errors messages.

File "/home/[APClogin]/montepython/montepython/likelihoods/euclid_pk/__init__.py", line 224, in loglkl
k_sigma = np.zeros(2.*self.nbin+1, 'float64')
TypeError: 'float' object cannot be interpreted as an index

The problem here is the decimal point after the 2, which makes it a float, when it is being used to create an index, which must be an integer.

k_sigma = np.zeros(2*self.nbin+1, 'float64')

The second error is caused once again by an unnecessary decimal point in the index:
File "/home/[APClogin]/montepython/montepython/likelihoods/euclid_pk/__init__.py", line 330, in integrand
return self.k_fid[:]**2/(2.*pi)**2*((self.tilde_P_th[:,index_z,index_mu] - self.tilde_P_fid[:,index_z,index_mu])**2/((2./self.V_survey[index_z])*(self.tilde_P_th[:,index_z,index_mu] + self.P_shot[index_z])**2 + (self.alpha[:,2.*index_z+1,index_mu]*self.tilde_P_th[:,index_z,index_mu])**2
IndexError: only integers, slices (`:`), ellipsis (`...`), numpy.newaxis (`None`) and integer or boolean arrays are valid indice

return self.k_fid[:]**2/(2.*pi)**2*((self.tilde_P_th[:,index_z,index_mu] - self.tilde_P_fid[:,index_z,index_mu])**2/((2/self.V_survey[index_z])*
(self.tilde_P_th[:,index_z,index_mu] + self.P_shot[index_z])**2 + (self.alpha[:,2*index_z+1,index_mu]*self.tilde_P_th[:,index_z,index_mu])**2

The Champernowne and Copeland-Erdős constants in Python

Python is a great tool. One of the best things about it, as anyone who’s used it will tell you, is the vast collection of useful libraries.

The mathematics libraries include a bewildering array of functions, but they were missing two important ones: the Champernowne constant, and the  Copeland-Erdős constant. So I did my bit for the community and wrote two modules to output these numbers to any desired digit.

David Gawen Champernowne (1912-2000)

Paul Erdős (1913-1996)

Arthur Herbert Copeland (1898-1970)

The modules are included in a package called idmaths, which is available on Github.

Here’s some sample code.

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