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Improving Floating Point Programming

This contributed work covers, in precise detail, the potential sources of error in floating-point programming and how these trouble spots can be controlled. Explains several methods for improving the accuracy of floating-point programming, concentrating on those methods that are relevant to the exploitation of the Karlsruhe Accurate Arithmetic.

Table of Contents

FUNDAMENTALS.

Basic Concepts (P. Wallis).

Machine Arithmetic (P. Wallis).

Model Arithmetic (P. Wallis).

ERROR CONTROL.

Sources of Error (P. Wallis).

Different Approaches to Interval Arithmetic (C. Ullrich & J. Wolff von Gudenberg).

The Karlsruhe Accurate Arithmetic Approach (J. Wolff von Gudenberg).

EMBEDDING OF KARLSRUHE ARITHMETIC.

The Embedding of Accurate Arithmetic in PASCAl-SC (J. Wolff von Gudenberg).

The Embedding of Accurate Arithmetic in Ada (J. Kok).

IMPROVING ACCURACY.

Automatic Identification of Scalar Products (D. Winter).

Guidelines for Selected Transformations of Existing Programs (L. Bamberger).

Manipulation of Expressions (J. Davenport & H. Fischer).

E-Methods for Improving Accuracy (G. Schumacher & J. Wolff von Gudenberg).

References.

Index.
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