АНАЛІТИЧНО НЕПЕРЕРВНІ ФУНКЦІЇ ДЛЯ ОБЧИСЛЕННЯ АРГУМЕНТУ КОМПЛЕКСНОГО ЧИСЛА

Konstantin Lukin; Volodymyr Konovalov

doi:10.30890/2567-5273.2025-41-01-023

ANALYTICALLY CONTINUOUS FUNCTIONS FOR COMPUTING THE ARGUMENT OF A COMPLEX NUMBER

Authors

Konstantin Lukin A. Ya. Usikov Institute of Radiophysics Electronics, National Academy of Sciences of Ukraine https://orcid.org/0000-0001-9998-9207
Volodymyr Konovalov A. Ya. Usikov Institute of Radiophysics Electronics, National Academy of Sciences of Ukraine https://orcid.org/0009-0004-1932-4627

DOI:

https://doi.org/10.30890/2567-5273.2025-41-01-023

Keywords:

argument computation, atan2, Atan4, inverse trigonometric functions, symbolic computation, phase analysis, branchless algorithms, SIMD vectorization.

Abstract

Computing the argument of a complex number is fundamental to signal processing, navigation, and computational geometry. The standard atan2 function, while numerically efficient, produces cumbersome piecewise expressions in symbolic computation systems, co

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Published

2025-10-30

How to Cite

Лукін, К., & Коновалов, В. (2025). ANALYTICALLY CONTINUOUS FUNCTIONS FOR COMPUTING THE ARGUMENT OF A COMPLEX NUMBER. Modern Engineering and Innovative Technologies, 1(41-01), 11–22. https://doi.org/10.30890/2567-5273.2025-41-01-023