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Handbook of FloatingPoint Arithmetic,Used
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This handbook is a definitive guide to the effective use of modern floatingpoint arithmetic, which has considerably evolved, from the frequently inconsistent floatingpoint number systems of early computing to the recent IEEE 7542008 standard. Most of computational mathematics depends on floatingpoint numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standards technical features. Algorithms for floatingpoint arithmetic are presented throughout the book and illustrated where possible by example programs which show how these techniques appear in actual coding and design.The volume itself breaks its core topic into four parts: the basic concepts and history of floatingpoint arithmetic; methods of analyzing floatingpoint algorithms and optimizing them; implementations of IEEE 7542008 in hardware and software; and useful extensions to the standard floatingpoint system, such as interval arithmetic, double and tripleword arithmetic, operations on complex numbers, and formal verification of floatingpoint algorithms. This new edition updates chapters to reflect recent changes to programming languages and compilers and the new prevalence of GPUs in recent years. The revisions also add material on fused multiplyadd instruction, and methods of extending the floatingpoint precision.As supercomputing becomes more common, more numerical engineers will need to use number representation to account for tradeoffs between various parameters, such as speed, accuracy, and energy consumption. The Handbook of FloatingPoint Arithmetic is designed for students and researchers in numerical analysis, programmers of numerical algorithms, compiler designers, and designers of arithmetic operators.
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