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Overview and Copyright

This is the short documentation of PROFIL/BIAS.

Copyright 1993 Olaf Knueppel, Technische Informatik III, TUHH

Permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and this permission notice are preserved on all copies.

Permission is granted to copy and distribute modified versions of this manual under the conditions for verbatim copying, provided that the entire resulting derived work is distributed under the terms of a permission notice identical to this one.

Copyright (C) 1993 Olaf Knüppel, Technische Informatik III, TUHH

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This is the first edition of the PROFIL/BIAS documentation

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Technische Informatik III
Technische Universität Hamburg-Harburg
D--21071 Hamburg
Germany
email: knueppel@tu-harburg.d400.de

Permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and this permission notice are preserved on all copies.

Permission is granted to copy and distribute modified versions of this manual under the conditions for verbatim copying, provided that the entire resulting derived work is distributed under the terms of a permission notice identical to this one.

• Introduction
• Basic Operations and Types
• Error Handling
• Machine Constants
• Complex Numbers
• Scalar Interval Operations
• Vector Operations
• Interval Vector Operations
• Integer Vector Operations
• Matrix Operations
• Interval Matrix Operations
• Integer Matrix Operations
• Standard Functions
• Utility Functions
• Linear System Solvers
• Using FORTRAN Routines with PROFIL
• Hardware Adaptions
• BIAS
• PROFIL/BIAS Extensions
• Multiple Precision Arithmetic
• Function Index
• Variable and Data Type Index

  --- The Detailed Node Listing ---

  Introduction

• Installation
• Configuration
• Supported Data Types
• Further Remarks

  Installation

• Unix Systems
• PCs under DOS or OS/2
• Common Installation Steps

  Standard Functions

• Real Standard Functions
• Interval Standard Functions

  Basic Interval Arithmetic Subroutines

• BIAS Introduction
• Data Types
• BIAS Reference

  BIAS Reference

• Notation
• Implementation Dependencies
• Initialization
• Variables
• BIAS Scalar Operations
• BIAS Vector Operations
• BIAS Matrix Operations
• BIAS Interval Standard Functions

  PROFIL/BIAS Extension Package

• Extension Package Installation
• Miscellaneous Functions
• Test Matrices
• Local Minimization
• Linear Lists
• Automatic Differentiation
• Sample Programs
• BIAS Adaption

  Extension Package Installation

• Library and Include File Installation

  General Linear Singly Linked Lists

• Linear List Example
• Sorted Lists
• Supported List Functions

  Multiple Precision Arithmetic

• Changes in Interval Input/Output
• Long Real Numbers
• Long Intervals
• High Precision Operations
• Acknowledgements