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Cosmological Boltzmann codes are often used by researchers for calculatingthe CMB angular power spectra from different theoretical models, forcosmological parameter estimation, etc. Therefore, the accuracy of a Boltzmanncode is of utmost importance. Different Markov Chain Monte Carlo basedparameter estimation algorithms typically require 10^3 - 10^4 iterations ofBoltzmann code. This makes the time complexity of such codes another criticalfactor. In the last two decades, several Boltzmann packages, such as CMBFAST,CAMB, CMBEasy, CLASS etc., have been developed. In this paper, we present a newcosmological Boltzmann code, CMBAns, that can be used for accurate calculationof the CMB power spectrum. At present, CMBAns is developed for a flatbackground matrix. It is mostly written in the C language. However, we borrowedthe concept of class from C++. This gives researchers the flexibility todevelop their own independent package based on CMBAns, without an in-depthunderstanding of the source code. We also develop multiple stand-alonefacilities which can be directly compiled and run on a given parameter set. Inthis paper, we discuss all the mathematical formulation, approximation schemes,integration methods etc., that are used in CMBAns. The package will be madeavailable through github for public use in the near future.

Cosmic Microwave Background Anisotropy numerical solution (CMBAns) I: An introduction to $C_l$ calculation