Implementation and test of the ACRITH facility in a system/370
IEEE Transactions on Computers
Closure and precision in level-index arithmetic
SIAM Journal on Numerical Analysis
IEEE Transactions on Computers - Special issue on computer arithmetic
Applying Aeatures of IEEE 754 to Sign/Logarithm Arithmetic
IEEE Transactions on Computers - Special issue on computer arithmetic
How Accurate is Scientific Software?
IEEE Transactions on Software Engineering
Interleaved Memory Function Interpolators with Application to an Accurate LNS Arithmetic Unit
IEEE Transactions on Computers
Simplifying array processing languages
APL '98 Proceedings of the APL98 conference on Array processing language
Arithmetic Co-Transformations in the Real and Complex Logarithmic Number Systems
IEEE Transactions on Computers
FPGA implementation of the conjugate gradient method
PPAM'05 Proceedings of the 6th international conference on Parallel Processing and Applied Mathematics
| Hi-index | 4.11 |
Frustrated by the limitations of integer arithmetic, scientists and engineers developed a floating-point number representation. The subsequent adoption of a binary floating-point standard greatly enhanced scientific computing. But floating-point is too specialized for spreadsheets and inadequate for computer graphics. It also complicates programming. Finally, it does not even yield exact results: One very popular calculator gives the answer -0.000000001 to the calculation ((1 \divide 3) x 3)-1! These circumstances, coupled with developments in circuit technology and computation, have encouraged and made possible a more general arithmetic. In this article I propose what I call composite arithmetic, which combines aspects of traditional integer and floating-point arithmetics with less familiar aspects of rational and logarithmic arithmetics. Composite arithmetic complements the binary floating-point standard and satisfies more diverse computational needs. Successful development of a composite arithmetic standard would be most timely, given the burgeoning ability to manufacture complex processors and the interest in extended forms of arithmetic being shown in the research literature. It would also be highly beneficial in support of better electronic calculator arithmetic and standard operation of generic software packages such as those including spreadsheet capabilities.