Verifying the error bound of numerical computation implemented in computer systems
US8397187B2 · kind B2 · utility
Assignee
Inventor
Key dates
| Filing date | Apr 23, 2010 |
| Grant date | Mar 12, 2013 |
| Priority date | — |
| Expiry date | Aug 16, 2031 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F11/3608
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
A verification tool receives a finite precision definition for an approximation of an infinite precision numerical function implemented in a processor in the form of a polynomial of bounded functions. The verification tool receives a domain for verifying outputs of segments associated with the infinite precision numerical function. The verification tool splits the domain into at least two segments, wherein each segment is non-overlapping with any other segment and converts, for each segment, a polynomial of bounded functions for the segment to a simplified formula comprising a polynomial, an inequality, and a constant for a selected segment. The verification tool calculates upper bounds of the polynomial for the at least two segments, beginning with the selected segment and reports the segments that violate a bounding condition.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.