Contents
1 About this Guide
1.1 Legal Information
1.2 Feedback and Contact
2 Overview
2.1 Introduction
2.2 Thread Safety
3 Mathematical Definitions
3.1 Real Interval Arithmetic
3.1.1 Singleton Interval
3.1.2 Empty Interval
3.1.3 Sign of an Interval
3.1.4 Bounded and Whole Interval
3.1.5 Normalized Interval
3.2 Circular Complex Interval Arithmetic
3.2.1 Singleton Interval
3.2.2 Empty Interval
3.2.3 Whole Interval
3.2.4 Normalized Interval
3.3 Rectangular Complex Interval Arithmetic
3.3.1 Singleton Interval
3.3.2 Empty Interval
3.3.3 Whole Interval
3.4 Kaucher Interval Arithmetic
3.4.1 Empty Interval
4 String Representation
4.1 String representation of
4.2 String representation of
4.3 String representation of
5 Real Intervals
5.1 General Description
5.1.1 Header Files
5.2 interval<T> - Class Reference
5.2.1 Public Member Variables
5.2.2 Constructors
5.2.3 Assignment
5.2.4 Special Assignment
5.2.5 Comparison operators
5.2.6 Conversion functions
5.2.7 Arithmetic Operators
5.2.8 Status functions
5.2.9 Sign
5.2.10 Normalization
5.2.11 Set comparisons
5.2.12 Concatenation and Convex Hull
5.2.13 Bisection and Outside
5.2.14 Metrics and conversion
5.2.15 Input/Output Functions
5.3 Hausdorff distance
5.4 Set operations
5.4.1 Set assertions
5.4.2 Set operations
5.5 Comparison operators
5.5.1 Set comparison
5.5.2 Value comparison
5.5.3 Possible comparison
5.5.4 Certain comparison
5.6 Math Functions
5.7 Specializations
5.7.1 std::hash - Standard hashing
5.7.2 std::operator« - Output stream
5.7.3 std::operator» - Input stream
6 Complex Intervals and
6.1 General Information
6.1.1 Header Files
6.2 kc_interval<T> - Class Reference
6.2.1 Public member variables
6.2.2 Constructors
6.2.3 Assignment
6.2.4 Special Assignment
6.2.5 Comparison Operators
6.2.6 Conversion functions
6.2.7 Arithmetic Operators
6.2.8 Status functions
6.2.9 Normalization
6.2.10 Set comparison
6.2.11 Concatenation and convex hull
6.2.12 Metrics and conversion
6.2.13 Complex Conjugation
6.2.14 Input/Output Functions
6.3 rc_interval<T> - Class Reference
6.3.1 Public member variables
6.3.2 Constructors
6.3.3 Assignment
6.3.4 Special Assignment
6.3.5 Comparison Operators
6.3.6 Conversion functions
6.3.7 Arithmetic Operators
6.3.8 Status functions
6.3.9 Normalization
6.3.10 Set comparison
6.3.11 Concatenation and convex hull
6.3.12 Metric and conversion
6.3.13 Complex Conjugation
6.3.14 Riemann Projection
6.3.15 Input/Output Functions
6.4 Set operations
6.4.1 Set Assertions
6.4.2 Set Assertions
6.4.3 Set Operations
6.4.4 Set Operations
6.5 Complex Hausdorff Distance
6.6 Specializations
6.6.1 std::hash - Standard hashing
6.6.2 std::operator« - Output stream
6.6.3 std::operator» - Input stream
7 Kaucher Intervals
7.1 General Description
7.1.1 Header Files
7.2 kaucher_interval<T> - Class Reference
7.2.1 Public Member Variables
7.2.2 Constructors
7.2.3 Assignment
7.2.4 Comparison operators
7.2.5 Conversion functions
7.2.6 Arithmetic Operators
7.2.7 Normalization
7.2.8 Set comparisons
7.2.9 Metrics and conversion
7.3 Hausdorff distance
7.4 Set operations
7.4.1 Set assertions
7.5 Specializations
7.5.1 std::hash - Standard hashing
7.5.2 std::operator« - Output stream
7.5.3 std::operator» - Input stream
8 Mathematical Constants
8.1 Varadic templates
8.2 numbers<T> - Class Reference
8.2.1 Public Member Variables
9 Floating Point Utilities
9.1 Header File
9.2 fpuenv - Class Reference
9.2.1 Member Types
9.2.2 Member Functions
9.2.3 Implementations
9.3 scoped_rounding_mode<T> - Class Reference
9.3.1 Constructors
9.3.2 Member Functions