Accession Number : ADA327995

Title :   PBHD: An Efficient Graph Representation for Floating Point Circuit Verification,

Corporate Author : CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF COMPUTER SCIENCE

Personal Author(s) : Chen, Yirng-An ; Bryant, Randal E.

PDF Url : ADA327995

Report Date : MAY 1997

Pagination or Media Count : 22

Abstract : *BMDs, HDDs, and K*BMDs provide compact representations for functions which map Boolean vectors into integer values, but not floating point values. In this paper, we propose a new data structure, called Multiplicative Power Binary Hybrid Diagrams (*PBHDs), to provide a compact representation for functions that map Boolean vectors into integer or floating point values. The size of the graph to represent the IEEE floating point encoding is linear with the word size. The complexity of floating point multiplication grows linearly with the word size. The complexity of floating point addition grows exponentially with the size of the exponent part, but linearly with the size of the mantissa part. We applied *PBHDs to verify integer multipliers and floating point multipliers before the rounding stage, based on a hierarchical verification approach. For integer multipliers, our results are at least 6 times faster than *BMD's. Previous attempts at verifying floating point multipliers required manual intervention. We verified floating point multipliers before the rounding stage automatically.

Descriptors :   *COMPUTER PROGRAM VERIFICATION, *FLOATING POINT OPERATION, DATA BASES, BOOLEAN ALGEBRA, BINARY ARITHMETIC, STRUCTURED PROGRAMMING, BINARY NOTATION.

Subject Categories : Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE