Stable Numerics Subroutine Library
Programming Reference Manual
Version 1.0 DD-00006-010

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 IR
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 KC
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 RC
3.3.1 Singleton Interval
3.3.2 Empty Interval
3.3.3 Whole Interval
3.4 Kaucher Interval Arithmetic KR
3.4.1 Empty Interval
4 String Representation
4.1 String representation of IR
4.2 String representation of KC
4.3 String representation of RC
5 Real Intervals IR
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 R  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 KC  and RC
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 R  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 C  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 KC
6.4.2 Set Assertions RC
6.4.3 Set Operations KC
6.4.4 Set Operations RC
6.5 Complex Hausdorff Distance RC
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 KR
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 R  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