PROFIL/BIAS Documentation
Programmer's Runtime Optimized Fast Interval Library, Basic Interval Arithmetic Subroutines, January 1994
Olaf Knüppel
Overview and Copyright
Introduction
Installation
Unix Systems
PCs under DOS or OS/2
Common Installation Steps
Configuration
Supported Data Types
Further Remarks
Basic Operations and Types
Error Handling ---
Error.h
Machine Constants ---
Constants.h
Complex Numbers ---
Complex.h
Scalar Interval Operations ---
Interval.h
Vector Operations ---
Vector.h
Interval Vector Operations ---
IntervalVector.h
Integer Vector Operations ---
IntegerVector.h
Matrix Operations ---
Matrix.h
Interval Matrix Operations ---
IntervalMatrix.h
Integer Matrix Operations ---
IntegerMatrix.h
Standard Functions ---
Functions.h
Real Standard Functions
Interval Standard Functions
Utility Functions ---
Utilities.h
Linear System Solvers ---
LSS.h
Using FORTRAN Routines with PROFIL
Adapting Real Operations to a Specific Hardware
Basic Interval Arithmetic Subroutines
BIAS Introduction
Data Types
BIAS Reference
Notation
Implementation Dependencies
Initialization
Variables
BIAS Scalar Operations ---
Bias0
BIAS Vector Operations ---
Bias1
BIAS Matrix Operations ---
Bias2
BIAS Interval Standard Functions ---
BiasF
PROFIL/BIAS Extension Package
Extension Package Installation
Installing the Libraries and Include Files
Some Miscellaneous Functions ---
MiscFunctions.h
Test Matrices ---
TestMatrices.h
Subroutines for Local Minimization
General Linear Singly Linked Lists
Example
Sorted Lists
Supported List Functions
Automatic Differentiation
Sample Programs
Adaptation of BIAS to non-supported Architectures
Multiple Precision Arithmetic
Changes in Interval Input/Output
Long Real Numbers ---
LongReal.h
Long Intervals ---
LongInterval.h
High Precision Vector and Matrix Operations ---
HighPrec.h
Acknowledgements
Function Index
Variable and Data Type Index