PASCAL-XSC

Language Reference with Examples

Rudi Klatte, Ulrich Kulisch, Michael Neaga, Dietmar Ratz, Christian Ullrich (Autoren)

Buch | Softcover

X, 344 Seiten

1992 | 1. Softcover reprint of the original 1st ed. 1992
Springer Berlin (Verlag)
978-3-540-55137-9 (ISBN)

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The programming language PASCAL-XSC (PASCAL eXtension for Scientific Computation) significantly simplifies programming in the area of scientific and technical computing. PASCAL-XSC provides a large number of predefined data types with arithmetic operators and predefined functions of highest accuracy for real and complex numbers, for real and complex intervals, and for the corresponding vectors and matrices. Thus PASCAL-XSC makes the computer more powerful concerning the arithmetic. Through an implementation in C, compilers for PASCAL-XSC are available for a large variety of computers such as personal computers, workstations, mainframes, and supercomputers. PASCAL-XSC provides a module concept, an operator concept, functions and operators with general result type, overloading of functions, procedures, and operators, dynamic arrays, access to subarrays, rounding control by the user, and accurate evaluation of expressions.
The language is particulary suited for the development of numerical algorithms that deliver highly accurate and automatically verified results. A number of problem-solving routines with automatic result verification have already been implemented. PASCAL-XSC contains Standard PASCAL. It is immediately usable by PASCAL programmers. PASCAL-XSC is easy to learn and ideal for programming education. The book can be used as a textbook for lectures on computer programming. It contains a major chapter with sample programs, exercises, and solutions. A complete set of syntax diagrams, detailed tables, and indices complete the book.
Pascal-XSC (PASCAL-eXtension for Scientific Computation) ist eine Erweiterung der weitverbreiteten Programmiersprache PASCAL. In dem vorliegenden Lehr- und Handbuch wird PASCAL-XSC vollständig beschrieben. Eine deutsche Ausgabe dieses Lehrbuches liegt ebenfalls vor.

Prof. Dr. Ulrich Kulisch (Karlsruhe) ist auf dem Gebiet der Numerischen Mathematik tätig.

1 Introduction.- 1.1 Typography.- 1.2 Historical Remarks and Motivation.- 1.3 Advanced Computer Arithmetic.- 1.4 Connection with Programming Languages.- 1.5 Survey of PASCAL-XSC.- 2 Language Reference.- 2.1 Basic Symbols.- 2.2 Identifiers.- 2.3 Constants, Types, and Variables.- 2.4 Expressions.- 2.5 Statements.- 2.6 Program Structure.- 2.7 Subroutines.- 2.8 Modules.- 2.9 String Handling and Text Processing.- 2.10 How to Use Dynamic Arrays.- 3 The Arithmetic Modules.- 3.1 The Module C_ARI.- 3.2 The Module I_ARI.- 3.3 The Module CI_ARI.- 3.4 The Module MV_ARI.- 3.5 The Module MVC_ARI.- 3.6 The Module MVI_ARI.- 3.7 The Module MVCI_ARI.- 3.8 The Hierarchy of the Arithmetic Modules.- 3.9 A Complete Sample Program.- 4 Problem-Solving Routines.- 5 Exercises with Solutions.- 5.1 Test of Representability.- 5.2 Summation of Exponential Series.- 5.3 Influence of Rounding Errors.- 5.4 Scalar Product.- 5.5 Boothroyd/Dekker Matrices.- 5.6 Complex Functions.- 5.7 Surface Area of a Parallelepiped.- 5.8 Parallelism and Intersection of Lines.- 5.9 Transposed Matrix, Symmetry.- 5.10 Rail Route Map.- 5.11 Inventory Lists.- 5.12 Complex Numbers and Polar Representation.- 5.13 Complex Division.- 5.14 Electric Circuit.- 5.15 Alternating Current Measuring Bridge.- 5.16 Optical Lens.- 5.17 Interval Evaluation of a Polynomial.- 5.18 Calculations for Interval Matrices.- 5.19 Differentiation Arithmetic.- 5.20 Newton's Method with Automatic Differentiation.- 5.21 Measurement of Time.- 5.22 Iterative Method.- 5.23 Trace of a Product Matrix.- 5.24 Calculator for Polynomials.- 5.25 Interval Newton Method.- 5.26 Runge-Kutta Method.- 5.27 Rational Arithmetic.- 5.28 Evaluation of Polynomials.- A Syntax Diagrams.- B Indices and Lists.- B.1 Syntax Diagrams.- B.2 Reserved Words.- B.3 PredefinedIdentifiers.- B.4 Operators.- B.4.1 Basic Operators.- B.4.2 Arithmetic Operators.- B.4.3 Relational Operators for the Arithmetic Types.- B.4.4 Assignment Operators.- B.5 Predefined Functions.- B.6 Transfer Functions.- B.7 Predefined Procedures.- B.8 #-Expressions.- B.8.1 Real and Complex #-Expressions.- B.8.2 Real and Complex Interval #-Expressions.

Erscheint lt. Verlag	28.2.1992
Übersetzer	G.F. Corliss, R. Klatte, U. Kulisch, D. Ratz, C. Wolff
Zusatzinfo	X, 344 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 242 mm
Gewicht	544 g
Themenwelt	Mathematik / Informatik ► Informatik ► Programmiersprachen / -werkzeuge
	Informatik ► Theorie / Studium ► Compilerbau
	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	algorithms • arithmetic • Calculation • Exact Evaluation of Expressions • Function • Handbuch • interval arithmetic • PASCAL • PASCAL-XSC • Problem-Solving • Processing • Programmiersprache • Programming language • result verification • Scientific Computation • Self-Validating Numerics • Variable
ISBN-10	3-540-55137-9 / 3540551379
ISBN-13	978-3-540-55137-9 / 9783540551379
Zustand	Neuware