BS ISO/IEC 60559:2020

$215.11

Floating-point arithmetic

Published By	Publication Date	Number of Pages
BSI	2020	86

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This standard specifies formats and operations for floating-point arithmetic in computer systems. Exception conditions are defined and handling of these conditions is specified.

PDF Catalog

PDF Pages	PDF Title
2	undefined
4	Contents
10	Introduction
11	1. Overview 1.1 Scope 1.2 Purpose 1.3 Inclusions 1.4 Exclusions
12	1.5 Programming environment considerations 1.6 Word usage
13	2. Definitions, abbreviations, and acronyms 2.1 Definitions
15	2.2 Abbreviations and acronyms
16	3. Floating-point formats 3.1 Overview 3.1.1 Formats 3.1.2 Conformance
17	3.2 Specification levels 3.3 Sets of floating-point data
19	3.4 Binary interchange format encodings
20	3.5 Decimal interchange format encodings 3.5.1 Cohorts 3.5.2 Encodings
23	3.6 Interchange format parameters
25	3.7 Extended and extendable precisions
26	4. Attributes and rounding 4.1 Attribute specification 4.2 Dynamic modes for attributes
27	4.3 Rounding-direction attributes 4.3.1 Rounding-direction attributes to nearest 4.3.2 Directed rounding attributes
28	4.3.3 Rounding attribute requirements
29	5. Operations 5.1 Overview
30	5.2 Decimal exponent calculation
31	5.3 Homogeneous general-computational operations 5.3.1 General operations
32	5.3.2 Decimal operations 5.3.3 logBFormat operations
33	5.4 formatOf general-computational operations 5.4.1 Arithmetic operations
34	5.4.2 Conversion operations for floating-point formats and decimal character sequences 5.4.3 Conversion operations for binary formats
35	5.5 Quiet-computational operations 5.5.1 Sign bit operations
36	5.5.2 Decimal re-encoding operations
37	5.6 Signaling-computational operations 5.6.1 Comparisons 5.7 Non-computational operations 5.7.1 Conformance predicates
38	5.7.2 General operations
39	5.7.3 Decimal operation 5.7.4 Operations on subsets of flags 5.8 Details of conversions from floating-point to integer formats
41	5.9 Details of operations to round a floating-point datum to integral value
42	5.10 Details of totalOrder predicate
43	5.11 Details of comparison predicates
44	5.12 Details of conversion between floating-point data and external character sequences
45	5.12.1 External character sequences representing zeros, infinities, and NaNs 5.12.2 External decimal character sequences representing finite numbers
47	5.12.3 External hexadecimal-significand character sequences representing finite numbers
48	6. Infinity, NaNs, and sign bit 6.1 Infinity arithmetic 6.2 Operations with NaNs 6.2.1 NaN encodings in binary interchange formats
49	6.2.2 NaN encodings in decimal interchange formats 6.2.3 NaN propagation
50	6.3 The sign bit
51	7. Exceptions and default exception handling 7.1 Overview: exceptions and flags
52	7.2 Invalid operation
53	7.3 Division by zero 7.4 Overflow 7.5 Underflow
54	7.6 Inexact
55	8. Alternate exception handling attributes 8.1 Overview 8.2 Resuming alternate exception handling attributes
56	8.3 Immediate and delayed alternate exception handling attributes
58	9. Recommended operations 9.1 Conforming language- and implementation-defined operations 9.2 Additional mathematical operations
61	9.2.1 Special values
64	9.2.2 Preferred exponents
65	9.3 Dynamic mode operations 9.3.1 Operations on individual dynamic modes 9.3.2 Operations on all dynamic modes
66	9.4 Reduction operations
68	9.5 Augmented arithmetic operations
69	9.6 Minimum and maximum operations
71	9.7 NaN payload operations
72	10. Expression evaluation 10.1 Expression evaluation rules 10.2 Assignments, parameters, and function values
73	10.3 preferredWidth attributes for expression evaluation
74	10.4 Literal meaning and value-changing optimizations
75	11. Reproducible floating-point results
77	Annex A (informative) Bibliography
79	Annex B (informative) Program debugging support
81	Annex C (informative) List of operations
83	Participants