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US$1,060,109

Last updated: 2023-05-15 10:03:57

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Jeffrey Hurchalla Writing on Programming and C++ Home About Contact ← Older posts The Montgomery Fused Multiply-Add Posted on May 1, 2022 by hurchalla This is Part 3 in a three part series on Montgomery arithmetic, starting with Part 1 . If you would like an excellent implementation of Montgomery arithmetic and modular arithmetic in general for up to 128 bit integer types , please see Clockwork , a high performance and easy to use C++ header-only library. The following post has greatest benefit for native (CPU register size) integer types and has lesser impact for multiprecision integers. Performance for Montgomery multiplication can often get bottlenecked by long data dependency chains, and we’ll see here how to reduce this problem when it involves a Montgomery multiply followed by a modular add or subtract. A dependency chain is a series of operations in which every operation can begin only after it has access to the result of the preceding operation in the chain. It’s a fundamental

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jeffhurchalla.com valuation and analysis