Cr_div - Cached Reciprocal Divider

Cr_div - Cached Reciprocal Divider Click to expand image


Category: Arithmetic Core

Created: February 12, 2013

Updated: November 19, 2019

Language: Verilog

Other project properties

Development Status: Alpha

WishBone compliant: No

WishBone version: n/a

License: LGPL


This core is a low latency divider that works by caching reciprocal values, then using a multiply to perform the divide rather than the usual divide operation. On first encountering a divide operation the reciprocal of the divisor is calculated, this takes the same amount of time as a normal divide. The next time the same divide is encountered the pre-calculated reciprocal is used. Reciprocals are stored in a small cache similar to a processor data cache.

a/b is the same as a * 1/b

In many cases the divisor 'b' remains the same within a loop. 1/b can be calculated to be essentially a constant; then all that's required is a multiply operation. As in the example, divides are performed using only three clock cycles when the reciprocal can be found in the cache.