Complex Square Root with Operand Prescaling

Jean-Michel Muller 1, 2 Milos Ercegovac 3
1 LIP - Laboratoire de l'Informatique du Parallélisme
2 ARENAIRE - Computer arithmetic
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
3 Digital Arithmetic and Reconfigurable Architecture Laboratory
Abstract : We propose a radix-$r$ digit-recurrence algorithm for complex square-root. The operand is prescaled to allow the selection of square-root digits by rounding of the residual. This leads to a simple hardware implementation. Moreover, the use of digit recurrence approach allows correct rounding of the result. The algorithm, compatible with the complex division, and its design are described at a high-level. We also give rough comparisons of its latency and cost with respect to implementation based on standard floating-point instructions as used in software routines for complex square root.
Keywords : Computer arithmetic complex square-root digit-recurrence algorithm operand prescaling
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Conference papers
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Jean-Michel Muller, Milos Ercegovac. Complex Square Root with Operand Prescaling. Application-Specific Systems, Architectures and Processors, 2004., Joseph Cavallaro and Lothar Thiele (general chairs), Sep 2004, Galveston, Texas, United States. pp.52-62, ⟨10.1109/ASAP.2004.1342458⟩. ⟨ensl-00086852⟩

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