In computer arithmetic two fundamental design principles are of great importance: number representation and the implementation of algebraic operations [25, 26, 27, 28, 29]. We will first discuss possible number representations, (e.g., fixed-point or floating-point), then basic operations like ...
computer arithmetic. This book discusses as well the signed numbers and their conversations, as well as the problems of scaling. The final chapter deals with the methods of fixed- and floating-point arithmetic, rounding off, and overflow. This book is a valuable resource for sixth form as ...
Computer Arithmetic refers to the process of performing arithmetic operations on numbers represented in binary form using fixed-length sequences of 1s and 0s, which can lead to inaccuracies due to limitations such as overflow, underflow, and rounding errors in computer hardware and software. ...
The section Relative Error and Ulps describes how it is measured. Since most floating-point calculations have rounding error anyway, does it matter if the basic arithmetic operations introduce a little bit more rounding error than necessary? That question is a main theme throughout this section. ...
[17] 浮点数表示 Floating-Point Representations [18] 浮点数运算 Floating-Point Operations [19] 误差与误差控制 Errors and Error Control [20] 精确可靠的算术 Precise and Certifiable Arithmetic [第六部分] 特殊函数求值 FUNCTION EVALUATION [21] 平方根算法 Square Rooting Methods ...
What every computer programmer should know about floating-point arithmetic. Set of slides available at http://blogs.sun.com/darcy/entry/what every computer programmer redux - Darcy - 2006 () Citation Context ...rithmetic was available with high performance and became a ubiquitous feature for ...
■5 浮点算术 Floating-point arithmetic ■6 计算机上浮点算术的实现 Implementation of floating-point arithmetic on a computer ■7 区间算术的硬件支持 Hardware support for interval arithmetic ■8 标量积和完备算术 Scalar products and complete arithmetic ■■Ⅲ 可验证计算的原理 Pinciples of verified comput...
Stanford Seminar: Beyond Floating Point: Next Generation Computer Arithmetic from Stanford University Stanford Seminar: Deep Learning in the Age of Zen, Vega, and Beyond from Stanford University Stanford Lecture – Don Knuth: The Analysis of Algorithms (2015, recreating 1969) from Stanford University ...
The book is a systematic presentation of main algorithms available for performing basic arithmetic operations (addition, subtraction, multiplication and division in both fixed- and floating-point presentation) as well as more complex operations such as square root, exponential, logarithmic, trigonometric ...
15. The computer system as defined by claim 1 wherein at least a portion of the rasterization process is performed on a floating point basis. 16. The computer system as defined by claim 1 wherein at least a portion of the rasterization process is performed on a fixed point basis. 17...