C++ Interval Arithmetic Programming Reference |
Contents
 Preface
1.  Using the Interval Arithmetic Library
- 1.1 What Is Interval Arithmetic?
- 1.2 C++ Interval Support Goal: Implementation Quality
- 1.2.1 Quality Interval Code
- 1.2.2 Narrow-Width Interval Results
- 1.2.3 Rapidly Executing Interval Code
- 1.2.4 Easy-to-Use Development Environment
- 1.2.5 The C++ Interval Class Compilation Interface
- 1.3 Writing Interval Code for C++
- 1.3.1 Hello Interval World
- 1.3.2 interval External Representations
- 1.3.3 Interval Declaration and Initialization
- 1.3.4 interval Input/Output
- 1.3.5 Single-Number Input/Output
- 1.3.6 Arithmetic Expressions
- 1.3.7 interval-Specific Functions
- 1.3.8 Interval Versions of Standard Functions
- 1.4 Code Development Tools
- 1.4.1 Debugging Support
2.  C++ Interval Arithmetic Library Reference
- 2.1 Character Set Notation
- 2.1.1 String Representation of an Interval Constant (SRIC)
- 2.1.2 Internal Approximation
- 2.2 interval Constructor
- 2.2.1 interval Constructor Examples
- 2.3 interval Arithmetic Expressions
- 2.4 Operators and Functions
- 2.4.1 Arithmetic Operators +, -, *, /
- 2.4.2 Power Function pow(X,n) and pow(X,Y)
- 2.5 Set Theoretic Functions
- 2.5.1 Hull: X U Y or interval_hull(X,Y)
- 2.5.2 Intersection: XY or intersect(X,Y)
- 2.6 Set Relations
- 2.6.1 Disjoint: X Y = or disjoint(X,Y)
- 2.6.2 Element: r Y or in(r,Y)
- 2.6.3 Interior: in_interior(X,Y)
- 2.6.4 Proper Subset: X Y or proper_subset(X,Y)
- 2.6.5 Proper Superset: X Y or proper_superset(X,Y)
- 2.6.6 Subset: X Y or subset(X,Y)
- 2.6.7 Superset: X Y or superset(X,Y)
- 2.7 Relational Functions
- 2.7.1 Interval Order Relations
- 2.7.2 Set Relational Functions
- 2.7.3 Certainly Relational Functions
- 2.7.4 Possibly Relational Functions
- 2.8 Input and Output
- 2.8.1 Input
- 2.8.2 Single-Number Output
- 2.8.3 Single-Number Input/Output and Base Conversions
- 2.9 Mathematical Functions
- 2.9.1 Inverse Tangent Function atan2(Y,X)
- 2.9.2 Maximum: maximum(X1,X2)
- 2.9.3 Minimum: minimum(X1,X2)
- 2.9.4 Functions That Accept Interval Arguments
- 2.10 Interval Types and the Standard Template Library
- 2.11 References
 Glossary
 Index
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