Ieee Std 754 2019 Revision Of Ieee 754 2008 Ieee Standard For Floating Point Arithmetic
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Ieee Std 754 2019 Revision Of Ieee 754 2008 Ieee Standard For Floating Point Arithmetic
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language : en
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Ieee Std 754 2019 Revision Of Ieee 754 2008 Ieee Standard For Floating Point Arithmetic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Numerical Computing With Ieee Floating Point Arithmeti
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Author : Michael L. Overton
language : en
Publisher: SIAM
Release Date : 2025-05-29
Numerical Computing With Ieee Floating Point Arithmeti written by Michael L. Overton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-29 with Mathematics categories.
This book provides an easily accessible, yet detailed, discussion of computer arithmetic as mandated by the IEEE 754 floating point standard, arguably the most important standard in the computer industry. The result of an unprecedented cooperation between academic computer scientists and industry, the standard is supported by virtually every modern computer. Although the basic principles of IEEE floating point arithmetic have remained largely unchanged since the first edition of this book was published in 2001, the technology that supports it has changed enormously. Every chapter has been extensively rewritten, and two new chapters have been added: one on computations with higher precision than that mandated by the standard, needed for a variety of scientific applications, and one on computations with lower precision than was ever contemplated by those who wrote the standard, driven by the massive computational demands of machine learning. The second edition of Numerical Computing with IEEE Floating Point Arithmetic includes many technical details not readily available elsewhere, along with many new exercises. It explores the rationale for floating point representation, correctly rounded arithmetic, exception handling, and support for the standard provided by floating point microprocessors and programming languages. Key concepts such as cancellation, conditioning and stability are also discussed. The book emphasizes historical development, from the early history of computing, through the 2008 and 2019 revisions of the floating-point standard, to the latest advances in microprocessor support. It also includes a previously unpublished letter by Donald E. Knuth on the value of gradual underflow, a key requirement of the standard. This book should be accessible to any reader with an interest in computers and mathematics, including students at all levels. Some basic knowledge of calculus and programming is assumed in the second half. There is enough variety of content that all but the most expert readers will find something of interest.
Floating Point Numerics For Games And Simulations
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Author : Nima Badizadegan
language : en
Publisher: CRC Press
Release Date : 2025-05-30
Floating Point Numerics For Games And Simulations written by Nima Badizadegan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-30 with Mathematics categories.
Floating point is ubiquitous in computers, where it is the default way to represent non-integer numbers. However, few people understand it. We all see weird behavior sometimes, and many programmers treat it as a mystical and imprecise system of math that just works until it sometimes doesn’t. We hear that we shouldn’t trust floating point with money, we know that 0.1 + 0.2 does not equal 0.3, and “NaN” shows up in our logs when things break. We rarely hear why any of this is the case, and less about what to do about it. This book pulls back the veil on floating point and shows how this number system we program with every day works. It discusses how to leverage the number system for common calculations, particularly in graphics and simulations, and avoid pitfalls. Further, we will review methods that can give you either better performance or better accuracy on tasks like numerical integration and function approximation, so you can learn to make the right tradeoffs in your programs. This book builds upon a basic knowledge of calculus and linear algebra, working with illustrative examples that demonstrate concepts rather than relying on theoretical proofs. Along the way, we will learn why Minecraft has struggled with boat physics and what the heck John Carmack was thinking with Quake III’s infamous fast reciprocal square root algorithm. By the end of the book, you will be able to understand how to work with floating point in a practical sense, from tracking down and preventing error in small calculations to choosing numerical building blocks for complex 3D simulations. Gives insight into how and why floating-point math works Describes how floating-point error arises and how to avoid it Surveys numerical methods important to graphics and numerical simulations Includes modern techniques to apply to your numerical problems Shows how to hack the floating-point numbers to compute faster and more accurately
Handbook Of Computer Architecture
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Author : Anupam Chattopadhyay
language : en
Publisher: Springer Nature
Release Date : 2024-12-20
Handbook Of Computer Architecture written by Anupam Chattopadhyay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-20 with Technology & Engineering categories.
This handbook presents the key topics in the area of computer architecture covering from the basic to the most advanced topics, including software and hardware design methodologies. It will provide readers with the most comprehensive updated reference information covering applications in single core processors, multicore processors, application-specific processors, reconfigurable architectures, emerging computing architectures, processor design and programming flows, test and verification. This information benefits the readers as a full and quick technical reference with a high-level review of computer architecture technology, detailed technical descriptions and the latest practical applications.
Next Generation Arithmetic
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Author : John Gustafson
language : en
Publisher: Springer Nature
Release Date : 2023-05-11
Next Generation Arithmetic written by John Gustafson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-11 with Computers categories.
This book constitutes the refereed proceedings of the 4th International Conference on Next Generation Arithmetic, CoNGA 2023, held in Singapore, during March 1-2, 2023. The 11 full papers in this book were carefully reviewed and selected from 16 submissions. They were organized in topical sections as follows: Lossless FFTs Using Posit Arithmetic, PLAUs: Posit Logarithmic Approximate Units to Implement Low-Cost Operations with Real Numbers.
Next Generation Arithmetic
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Author : Marek Michalewicz
language : en
Publisher: Springer Nature
Release Date : 2024-10-16
Next Generation Arithmetic written by Marek Michalewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-16 with Computers categories.
This book constitutes the refereed post-conference proceedings of the 5th International Conference for Next Generation Arithmetic, CoNGA 2024, held in Sydney, NSW, Australia, during February 20–21, 2024. The 5 revised full papers presented were carefully selected from 9 submissions. CoNGA is the leading conference on emerging technologies for computer arithmetic. The demands of both AI and HPC have led the community to realize that something better than traditional floating-point arithmetic is needed to reach the speed, accuracy, and energy-efficiency that are needed for today's most challenging workloads. In particular, posit arithmetic is achieving rapid adoption as a non-proprietary format, but CoNGA welcomes papers about any arithmetic format that breaks from the past and shows merit and promise.
Computer Aided Verification
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Author : Ruzica Piskac
language : en
Publisher: Springer Nature
Release Date : 2025-07-22
Computer Aided Verification written by Ruzica Piskac and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-22 with Computers categories.
This open access 4-volume set constitutes the proceedings of the 37th International Conference on Computer Aided Verification, CAV 2025, held in Zagreb, Croatia, in July 23-25, 2025. The 51 regular papers presented together 24 tool papers, 4 casestudy papers in these proceedings were carefully reviewed and selected from 305 submissions. The accepted papers cover a wide spectrum of topics, from theoretical results to applications of formal methods. These papers apply or extend formal methods to a wide range of domains such as concurrency, machine learning and neural networks, quantum systems, as well as hybrid and stochastic systems.
Numerical Methods For Scientists And Engineers
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Author : Zekeriya Altaç
language : en
Publisher: CRC Press
Release Date : 2024-10-15
Numerical Methods For Scientists And Engineers written by Zekeriya Altaç and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-15 with Mathematics categories.
Numerical Methods for Scientists and Engineers: With Pseudocodes is designed as a primary textbook for a one-semester course on Numerical Methods for sophomore or junior-level students. It covers the fundamental numerical methods required for scientists and engineers, as well as some advanced topics which are left to the discretion of instructors. The objective of the text is to provide readers with a strong theoretical background on numerical methods encountered in science and engineering, and to explain how to apply these methods to practical, real-world problems. Readers will also learn how to convert numerical algorithms into running computer codes. Features: Numerous pedagogic features including exercises, “pros and cons” boxes for each method discussed, and rigorous highlighting of key topics and ideas Suitable as a primary text for undergraduate courses in numerical methods, but also as a reference to working engineers A Pseudocode approach that makes the book accessible to those with different (or no) coding backgrounds, which does not tie instructors to one particular language over another A dedicated website featuring additional code examples, quizzes, exercises, discussions, and more: https://github.com/zaltac/NumMethodsWPseudoCodes A complete Solution Manual and PowerPoint Presentations are available (free of charge) to instructors at www.routledge.com/9781032754741
Approximate Computing
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Author : Weiqiang Liu
language : en
Publisher: Springer Nature
Release Date : 2022-08-22
Approximate Computing written by Weiqiang Liu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-22 with Technology & Engineering categories.
This book explores the technological developments at various levels of abstraction, of the new paradigm of approximate computing. The authors describe in a single-source the state-of-the-art, covering the entire spectrum of research activities in approximate computing, bridging device, circuit, architecture, and system levels. Content includes tutorials, reviews and surveys of current theoretical/experimental results, design methodologies and applications developed in approximate computing for a wide scope of readership and specialists. Serves as a single-source reference to state-of-the-art of approximate computing; Covers broad range of topics, from circuits to applications; Includes contributions by leading researchers, from academia and industry.
Numerical Mathematics
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Author : Jeffrey S. Ovall
language : en
Publisher: SIAM
Release Date : 2024-10-24
Numerical Mathematics written by Jeffrey S. Ovall and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-24 with Mathematics categories.
This textbook introduces key numerical algorithms used for problems arising in three core areas of scientific computing: calculus, differential equations, and linear algebra. Theoretical results supporting the derivation and error analysis of algorithms are given rigorous justification in the text and exercises, and a wide variety of detailed computational examples further enhance the understanding of key concepts. Numerical Mathematics includes topics not typically discussed in similar texts at this level, such as a Fourier-based analysis of the trapezoid rule, finite volume methods for the 2D Poisson problem, the Nyström method for approximating the solution of integral equations, and the relatively new FEAST method for targeting clusters of eigenvalues and their eigenvectors. An early emphasis is given to recognizing or deducing orders of convergence in practice, which is essential for assessing algorithm performance and debugging computational software. Numerical experiments complement many of the theorems concerning convergence, illustrating typical behavior of the associated algorithms when the assumptions of the theorems are satisfied and when they are not. This book is intended for advanced undergraduate and beginning graduate students in mathematics seeking a solid foundation in the theory and practice of scientific computing. Students and researchers in other disciplines who want a fuller understanding of the principles underlying these algorithms will also find it useful. The text is divided into three parts, corresponding to numerical methods for problems in calculus, differential equations, and linear algebra. Each part can be used for a one-term course (quarter or semester), making the book suitable for a two- or three-term sequence in numerical analysis or for largely independent courses on any of the three main topics.