Výsledky vyhledávání - "Moroz, Leonid V."

Report

Improving the accuracy of the fast inverse square root algorithm

Autor: Walczyk, Cezary J., Moroz, Leonid V., Cieśliński, Jan L.

We present improved algorithms for fast calculation of the inverse square root for single-precision floating-point numbers. The algorithms are much more accurate than the famous fast inverse square root algorithm and have the same or similar computat

Externí odkaz: http://arxiv.org/abs/1802.06302

Zobrazit plný text záznamu

Report

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

Autor: Moroz, Leonid V., Walczyk, Cezary J., Hrynchyshyn, Andriy, Holimath, Vijay, Cieśliński, Jan L.

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 abso

Externí odkaz: http://arxiv.org/abs/1603.04483

Zobrazit plný text záznamu

Report

Fast exact digital differential analyzer for circle generation

Autor: Cieśliński, Jan L., Moroz, Leonid V.

In the first part of the paper we present a short review of applications of digital differential analyzers (DDA) to generation of circles showing that they can be treated as one-step numerical schemes. In the second part we present and discuss a nove

Externí odkaz: http://arxiv.org/abs/1304.4974

Zobrazit plný text záznamu