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C-XSC: A C++ Class Library for Extended Scientific Computing

Autor Rudi Klatte Traducere de G. F. Corliss Autor Ulrich Kulisch Traducere de Christian Lawo Autor Andreas Wiethoff, Michael Rauch Traducere de C. Wolff
en Limba Engleză Paperback – 23 apr 1993
C-XSC is a tool for the development of numerical algorithms delivering highly accurate and automatically verified results. It provides a large number of predefined numerical data types and operators. These types are implemented as C++ classes. Thus, C-XSC allows high-level programming of numerical applications in C and C++. The most important features of C-XSC are: real, complex, interval, and complex interval arithmetic; dynamic vectors and matrices; subarrays of vectors and matrices; dotprecision data types, predefined arithmetic operators with maximum accuracy; standard functions of high accuracy; multiple precision arithmetic and standard functions; rounding control for I/O data; error handling, and library of problem solving routines with automatic result verification. Thus, C-XSC makes the computer more powerful concerning the arithmetic. C-XSC is immediately usable by C programmers, easy to learn, user-extendable, and may also be combined with other tools. The book can be used as a textbook and as a reference manual. It consists of an introduction to advanced computer arithmetic, a chapter describing the programming languages C and C++, the major chapter "C-XSC Reference", sample programs, and indices.
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Specificații

ISBN-13: 9783540563280
ISBN-10: 3540563288
Pagini: 288
Ilustrații: XV, 269 p. 1 illus.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.41 kg
Ediția:Softcover reprint of the original 1st ed. 1993
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

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Cuprins

1 Introduction.- 1.1 Typography.- 1.2 C-XSC: A Class Library in the Programming Language C++.- 1.3 C-XSC: A Programming Environment for Scientific Computing with Result Verification.- 1.4 Survey of C-XSC.- 2 The Programming Languages C and C++.- 2.1 A Short Introduction to C.- 2.2 Additional Features in C++.- 3 C—XSC Reference.- 3.1 Constants, Data Types, and Variables.- 3.2 Expressions.- 3.3 Statements.- 3.4 Error Handling.- 3.5 Pitfalls for Programming with C — XSC.- A Syntax Diagrams.- A.1 Data Types.- A.2 Management of Vectors and Matrices.- A.3 Definition of Variables.- A.4 Expressions.- A.5 Logical Expressions.- A.6 Type Castings.- A.7 Assignments.- A.8 Arithmetic Standard Functions.- A.9 Other Functions.- A.10 Input and Output.- A.11 Extension of a Syntax Diagram of C++.- B The Structure of the C — XSC Package.- B.1 Header Files.- B.2 Module Libraries.- C Error List.- D Sample Programs.- D.1 Rounding Control of Arithmetic Operations.- D.2 Rounding Control of Input and Output.- D.3 Scalar Product.- D.4 Transpose of a Matrix.- D.5 Trace of a Product Matrix.- D.6 Inverse of a Matrix.- D.7 Multiple-Precision Arithmetic.- D.8 Interval Newton Method.- D.9 Runge-Kutta Method.- D.10 Complex Polynomial Arithmetic.- D.11 Automatic Differentiation.- E Scientific Computation with Verified Results.- E.1 Evaluation of Polynomials.- E.2 Matrix Inversion.- E.3 Linear Systems of Equations.- E.4 Eigenvalues of Symmetric Matrices.- E.5 Fast Fourier Transform.- E.6 Zeros of a Nonlinear Equation.- E.7 System of Nonlinear Equations.- E.8 Ordinary Differential Equations.