Correctly Rounded Constant Integer Division via Multiply-Add

Provided by: Imperial College London
Topic: Hardware
Format: PDF
Implementing integer division in hardware is expensive when compared to multiplication. In the case where the divisor is a constant, expensive integer division algorithms can be replaced by cheaper integer multiplications and additions. This paper presents the conditions for multiply-add schemes to perform correctly rounded unsigned invariant integer division under one of three rounding modes. The authors propose a heuristic to explore the space of implementations meeting the conditions they derive. Experiments show that an average speed up of 20% and area reduction of 50% can be achieved compared to existing correctly rounded approaches.

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