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Interval operations involving NaNs

Интервальные операции с использованием злементов типа НаН

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Reliable Computing

Abstract

This paper considers some aspects of the implementation of interval arithmetic built on IEEE floating-point systems. Interval operations and functions on arguments involving special elements, Not-a-Numbers (NaNs) and signed zero, supported by the IEEE floating-point formats are discussed. A simple model of interval exceptions and their handling in IEEE non-trapping mode is proposed and interval operations on arguments involving NaNs are defined. Based on the floating-point exceptions and their handling, the proposed model provide consistency between interval and IEEE arithmetics.

Abstract

Рассматриваются некотоые аснекты реализацнии интервальной арифметики на снстемах с нлаваюшей точкой, удовлетворяюших стандартам IEEE. Обсуждаются интервальне онерацин и функнии, средн аргументов которых присытствыют снециальные злементы тниа NaN (Not-a-Number, «не-чнсло») и ноль со знаком, иоддерживаемые форматом значений с илаваюшей точкой IEEE. Преллагается молель интервальных исключителтельных ситуаций и их обработки ири отклоченуом режиме отслеживания в IEEE, а также лается онределение интервальньх онераний лля аргументоб, солержаних злементы тина НаН. Прелложенная молель, основаная на механизме исключительных ситуацй и их обработке в снстеме с плаваюней точкой, обеснечивает совместнмость интервальной а→ифметики со стандартом IEEE.

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Authors and Affiliations

  1. Institute of Biophysics, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bldg. 21, BG-1113, Sofia, Bulgaria

    Evgenija D. Popova

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  1. Evgenija D. Popova
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© E. D. Popova, 1996

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Popova, E.D. Interval operations involving NaNs. Reliable Comput 2, 161–165 (1996). https://doi.org/10.1007/BF02425919

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  • DOI: https://doi.org/10.1007/BF02425919

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