Fast correctly-rounding floating-point conversion
US7921144B2 · kind B2 · utility
Assignee
Inventor
Key dates
| Filing date | May 10, 2007 |
| Grant date | Apr 5, 2011 |
| Priority date | — |
| Expiry date | Feb 2, 2030 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F7/49947
- WIPO fieldBasic communication processes
- WIPO sectorElectrical engineering
Abstract
A system and method for converting bases of floating point numbers using fixed-point computation includes tables having different related spacings of exponent indices. The tables are adapted to cross-reference conversion ratios between exponent bases. The tables are characterized by bi-uniform spacings of source and target exponents and including near-unity table entries representing the conversion ratios. A source number is converted into a target number in a different radix by a sequence of reduction operations using a sequence of the tables. The reduction operations include reducing a source number exponent magnitude and accumulating a target exponent and multiplying a source number mantissa by a selected conversion ratio including a near-unity ratio of powers. A final mantissa is normalized and rounded to produce the target number in a new radix.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.