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Fast calculation of inverse square root with the use of magic constant $-$ analytical approach

Published 14 Mar 2016 in cs.MS | (1603.04483v1)

Abstract: We present a mathematical analysis of transformations used in fast calculation of inverse square root for single-precision floating-point numbers. Optimal values of the so called magic constants are derived in a systematic way, minimizing either absolute or relative errors at subsequent stages of the discussed algorithm.

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