Interval Arithmetic Programming Reference |
Contents
 Preface
1.  Using Interval Arithmetic With f95
- 1.1 f95 INTERVAL Type and Interval Arithmetic Support
- 1.2 f95 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
- 1.3 Writing Interval Code for f95
- 1.3.1 Command-Line Options
- 1.3.2 Hello Interval World
- 1.3.3 Interval Declaration and Initialization
- 1.3.4 INTERVAL Input/Output
- 1.3.5 Single-Number Input/Output
- 1.3.6 Interval Statements and Expressions
- 1.3.7 Default Kind Type Parameter Value (KTPV)
- 1.3.8 Value Assignment V = expr
- 1.3.9 Mixed-Type Expression Evaluation
- 1.3.10 Arithmetic Expressions
- 1.3.11 Interval Order Relations
- 1.3.12 Intrinsic INTERVAL-Specific Functions
- 1.3.13 Interval Versions of Standard Intrinsic Functions
- 1.4 Code Development Tools
- 1.4.1 Debugging Support
- 1.4.2 Global Program Checking
- 1.4.3 Interval Functionality Provided in Sun Fortran Libraries
- 1.4.4 Porting Code and Binary Files
- 1.4.5 Parallelization
- 1.5 Error Detection
- 1.5.1 Known Containment Failures
2.  f95 Interval Reference
- 2.1 Fortran Extensions
- 2.1.1 Character Set Notation
- 2.1.2 INTERVAL Constants
- 2.1.3 Internal Approximation
- 2.1.4 INTERVAL Statement
- 2.2 Data Type and Data Items
- 2.2.1 Name: INTERVAL
- 2.2.2 Kind Type Parameter Value (KTPV)
- 2.2.3 INTERVAL Arrays
- 2.3 INTERVAL Arithmetic Expressions
- 2.3.1 Mixed-Mode INTERVAL Expressions
- 2.3.2 Value Assignment
- 2.3.3 Interval Command-Line Options
- 2.3.4 Constant Expressions
- 2.4 Intrinsic Operators
- 2.4.1 Arithmetic Operators +, -, *, /
- 2.5 Power Operators X**N and X**Y
- 2.6 Set Theoretic Operators
- 2.6.1 Hull: X Y or (X.IH.Y)
- 2.6.2 Intersection: XY or (X.IX.Y)
- 2.7 Set Relations
- 2.7.1 Disjoint: X Y = or (X .DJ. Y)
- 2.7.2 Element: r Y or (R.IN. Y)
- 2.7.3 Interior: (X .INT. Y)
- 2.7.4 Proper Subset: X Y or (X .PSB. Y)
- 2.7.5 Proper Superset: X Y or (X .PSP. Y)
- 2.7.6 Subset: X Y or (X .SB. Y)
- 2.7.7 Superset: X Y or (X .SP. Y)
- 2.7.8 Relational Operators
- 2.8 Extending Intrinsic INTERVAL Operators
- 2.8.1 Extended Operators with Widest-Need Evaluation
- 2.8.2 INTERVAL (X [,Y, KIND])
- 2.8.3 Specific Names for Intrinsic Generic INTERVAL Functions
- 2.9 INTERVAL Statements
- 2.9.1 Type Declaration
- 2.9.2 Input and Output
- 2.9.3 Intrinsic INTERVAL Functions
- 2.9.4 Mathematical Functions
- 2.10 References
 Glossary
 Index
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