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We present the progresses of the simulation tools, the Exposure TimeCalculator (ETC) and End-to-End simulator (E2E), for the Son Of X-Shooter(SOXS) instrument at the ESO-NTT 3.58-meter telescope. The SOXS will be asingle object spectroscopic facility, made by a two-arms high-efficiencyspectrograph, able to cover the spectral range 350-2000 nanometer with a meanresolving power R$\approx$4500. While the purpose of the ETC is the estimate,to the best possible accuracy, of the Signal-to-Noise ratio (SNR), the E2Emodel allows us to simulate the propagation of photons, starting from thescientific target of interest, up to the detectors. We detail the ETC and E2Earchitectures, computational models and functionalities. The interface of theE2E with external simulation modules and with the pipeline are described, too.Synthetic spectral formats, related to different seeing and observingconditions, and calibration frames to be ingested by the pipeline are alsopresented.

Progress on the simulation tools for the SOXS spectrograph: Exposure time calculator and End-to-End simulator