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ARITH
1999
IEEE

Digit-Recurrence Algorithm for Computing Euclidean Norm of a 3-D Vector

8 years 11 months ago
Digit-Recurrence Algorithm for Computing Euclidean Norm of a 3-D Vector
A digit-recurrence algorithm for computing the Euclidean norm of a 3-dimensional vector is proposed. Starting from the vector component with the highest order of magnitude as the initial value of partial result, correcting-digits produced by the recurrence are added to it step by step. Partial products of the squares of the other two components are added to the residual, step by step. The addition/subtractions in the recurrence are performed without carry/borrow propagation by the use of a redundant representation of the residual. An extension of the on-the- y conversion algorithm is used for updating the partial result. Dierent speci c versions of the algorithm are possible, depending on the radix, the redundancy factor of the correcting-digit set, the type of representation of the residual, and the correcting-digit selection function.
Naofumi Takagi, Seiji Kuwahara
Added 02 Aug 2010
Updated 02 Aug 2010
Type Conference
Year 1999
Where ARITH
Authors Naofumi Takagi, Seiji Kuwahara
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