Last modified: 2023-05-15
Abstract
The article presents the results of studying the topological properties of sets of standardized floating-point data FBA std IEEE-754 using the author's research complex. A formal description of the main elements of the structure of the complex and methods of its application is given. The distinctive features of the complex are revealed in the part of the study of FPN. The results of the study of the basic float - FNS format are presented. The commonality of the interface solutions of the complex provides the possibility of its application in mathematical modeling systems and numerical experiments, including using within the framework of standard packages.
Categories and Subject Descriptors: (Primary) C.0 [Computer Systems Organization]: General -- instruction set design; D.3.4 [Programming Languages]: Processors -- compilers, optimization;
G.1.0 [Numerical Analysis]: General -- computer arithmetic, error analysis, numerical algorithms (Secondary)
General Terms: Algorithms, relations, lexicographic order, Boolean order
Additional Key Words and Phrases: Normalized number, floating-point standard, underflow, overflow, relative error, rounding error, rounding, ulp.
References:
1. Slyusarenko A.S. To the Problem of Rounding Errors Evaluation /International Scientific Review of Problems and Prospects of Modern Science and Education /Collection of Scientific Articles. XlV International Correspondence Scientific and Practical Conference (Boston, USA, May 24-25, 2018). Boston. 2018 ), pp.12–26.
2. Вычислительная математика и информатика: мировые вызовы и российская "дорожная карта". В.П. Ильин. Вестник Российской Академии Наук, 2015, том 85, № 2, с. 107-114.
3. Slyusarenko A.S.; Uskova N.I. ФИПС. ГОСУДАРСТВЕННАЯ РЕГИСТРАЦИЯ ПРОГРАММЫ ДЛЯ ЭВМ.«Программа анализа свойств FPN типа float». Номер регистрации (свидетельства): 2020611702 Дата регистрации: 06.02.2020 Номер и дата поступления заявки: 2020610526 24.01.2020 [Электронный ресурс]. Режим доступа: https://www.fips.ru/registers-doc-view/fips_servlet?DB=EVM&DocNumber=2020611702&TypeFile=html (дата обращения: 14.02.2020).