Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)3301310.22363/2658-4670-2022-30-4-318-329ArticlesСтатьиResearch ArticleImplementation of hyperbolic complex numbers in Julia languageРеализация гиперболических комплексных чисел на языке Juliahttps://orcid.org/0000-0001-7141-7610KorolkovaAnna V.КорольковаА. В.

Docent, Candidate of Sciences in Physics and Mathematics, Associate Professor of Department of Applied Probability and Informatics

korolkova-av@rudn.ruhttps://orcid.org/0000-0002-4834-4895GevorkyanMigran N.ГеворкянМ. Н.

Candidate of Sciences in Physics and Mathematics, Assistant Professor of Department of Applied Probability and Informatics

gevorkyan-mn@rudn.ruhttps://orcid.org/0000-0002-0877-7063KulyabovDmitry S.КулябовД. С.

Professor, Doctor of Sciences in Physics and Mathematics, Professor at the Department of Applied Probability and Informatics

kulyabov-ds@rudn.ruPeoples’ Friendship University of Russia (RUDN University)Российский университет дружбы народовJoint Institute for Nuclear ResearchОбъединённый институт ядерных исследований26122022304VOL 30, NO4 (2022)ТОМ 30, №4 (2022)31832926122022Copyright ©; 2022, Korolkova A.V., Gevorkyan M.N., Kulyabov D.S.Copyright ©; 2022, Королькова А.В., Геворкян М.Н., Кулябов Д.С.2022Korolkova A.V., Gevorkyan M.N., Kulyabov D.S.Королькова А.В., Геворкян М.Н., Кулябов Д.С.https://creativecommons.org/licenses/by-nc/4.0https://journals.rudn.ru/miph/article/view/33013

Hyperbolic complex numbers are used in the description of hyperbolic spaces. One of the well-known examples of such spaces is the Minkowski space, which plays a leading role in the problems of the special theory of relativity and electrodynamics. However, such numbers are not very common in different programming languages. Of interest is the implementation of hyperbolic complex in scientific programming languages, in particular, in the Julia language. The Julia language is based on the concept of multiple dispatch. This concept is an extension of the concept of polymorphism for object-oriented programming languages. To implement hyperbolic complex numbers, the multiple dispatching approach of the Julia language was used. The result is a library that implements hyperbolic numbers. Based on the results of the study, we can conclude that the concept of multiple dispatching in scientific programming languages is convenient and natural.

Гиперболические комплексные числа применяются при описании гиперболических пространств. Одним из известных примеров таких пространств является пространство Минковского, играющее ведущее значение в задачах частной теории относительности, электродинамики. Однако такие числа не очень распространены в разных языках программирования. Представляет интерес реализация гиперболических комплексных чисел в языках научного программирования, в частности в языке Julia. В основе языка Julia лежит концепция множественной диспетчеризации (multiple dispatch). Эта концепция является расширением концепции полиморфизма для объектно-ориентированных языков программирования. Разработана библиотека для Julia, реализующая гиперболические комплексные числа. По результатам исследования можно сделать вывод об удобстве и естественности концепции множественной диспетчеризации в языках научного программирования.

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