Data length independent real number representation based on double exponential cut
Journal of Information Processing
Computer Language
Closure and precision in level-index arithmetic
SIAM Journal on Numerical Analysis
What every computer scientist should know about floating-point arithmetic
ACM Computing Surveys (CSUR)
Real zero isolation for trigonometric polynomials
ACM Transactions on Mathematical Software (TOMS)
How Accurate is Scientific Software?
IEEE Transactions on Software Engineering
Infinity arithmetic, comparisons and J
APL '95 Proceedings of the international conference on Applied programming languages
Test for (IN) equality, subtraction, proof of correctness
ACM SIGNUM Newsletter
Simplifying array processing languages
APL '98 Proceedings of the APL98 conference on Array processing language
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Perhaps inspired by the IEEE floating point arithmetic standard's introduction of a representation for aberrant numbers, such as the reciprocal of zero, the J interpreter overtly deals with infinites and indeterminacies.This step got rid of some domain error messages, but brought in a few new difficulties, and exposed inconsistencies in the behaviour of elementary arithmetic functions presumably as delivered by the C compilers used for the J interpreters.This paper proposes notation that would allow the J interpreter better to deal with failures of arithmetic. The discussion should assist development of arithmetic for other interpreters and compilers.