Stable Numerics Subroutine Library
Programming Reference Manual
Version 1.1 DD-00006-011

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
3.5 Real Triplex Arithmetic TR
3.5.1 Empty Triplex
4 String Representation
4.1 String representation of IR
4.2 String representation of KC
4.3 String representation of RC
4.4 String representation of KR
4.5 String representation of TR
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 Special Assignment
7.2.5 Comparison operators
7.2.6 Conversion functions
7.2.7 Arithmetic Operators
7.2.8 Normalization
7.2.9 Set comparisons
7.2.10 Status Functions
7.2.11 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 Triplex TR
8.1 General Description
8.1.1 Header Files
8.2 triplex<T> - Class Reference
8.2.1 Public Member Variables
8.2.2 Constructors
8.2.3 Assignment
8.2.4 Conversion functions
8.2.5 Comparison Operators
8.2.6 Normalization
8.2.7 Status functions
8.2.8 Special Assignment
8.2.9 Arithmetic Operators
8.2.10 Set comparisons
8.2.11 Metrics and R  conversion
8.3 Hausdorff distance
8.4 Set operations
8.4.1 Set assertions
8.5 Specializations
8.5.1 std::hash - Standard hashing
8.5.2 std::operator« - Output stream
8.5.3 std::operator» - Input stream
9 Mathematical Constants
9.1 Varadic templates
9.2 numbers<T> - Class Reference
9.2.1 Public Member Variables
10 Floating Point Utilities
10.1 Header File
10.2 fpuenv - Class Reference
10.2.1 Member Types
10.2.2 Member Functions
10.2.3 Implementations
10.3 scoped_rounding_mode<T> - Class Reference
10.3.1 Constructors
10.3.2 Member Functions