{"id":194749,"date":"2024-10-19T12:21:27","date_gmt":"2024-10-19T12:21:27","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/ieee-1788-1-2017\/"},"modified":"2024-10-25T04:52:31","modified_gmt":"2024-10-25T04:52:31","slug":"ieee-1788-1-2017","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/ieee\/ieee-1788-1-2017\/","title":{"rendered":"IEEE 1788.1 2017"},"content":{"rendered":"

New IEEE Standard – Active. This standard is a simplified version and a subset of the IEEE Std 1788TM-2015 for Interval Arithmetic and includes those operations and features of the latter that in the the editors\u2019 view are most commonly used in practice. IEEE Std 1788.1-2017 specifies interval arithmetic operations based on intervals whose endpoints are IEEE Std 754TM-2008 binary64 floating-point numbers and a decoration system for exception-free computations and propagation of properties of the computed results. A program built on top of an implementation of IEEE Std 1788.1-2017 should compile and run, and give identical output within round off, using an implementation of IEEE Std 1788-2015, or any superset of the former. Compared to IEEE Std 1788-2015, this standard aims to be minimalistic, yet to cover much of the functionality needed for interval computations. As such, it is more accessible and will be much easier to implement, and thus will speed up production of implementations.<\/p>\n

PDF Catalog<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
PDF Pages<\/th>\nPDF Title<\/th>\n<\/tr>\n
1<\/td>\nIEEE Std 1788.1\u2122-2017 (Front Cover) <\/td>\n<\/tr>\n
2<\/td>\nTitle page <\/td>\n<\/tr>\n
4<\/td>\nImportant Notices and Disclaimers Concerning IEEE Standards Documents <\/td>\n<\/tr>\n
7<\/td>\nParticipants <\/td>\n<\/tr>\n
9<\/td>\nIntroduction <\/td>\n<\/tr>\n
10<\/td>\nContents <\/td>\n<\/tr>\n
11<\/td>\nPart 1. General Requirements
1. Overview
1.1. Scope
1.2. Purpose
1.3. Word usage <\/td>\n<\/tr>\n
12<\/td>\n1.4. Structure of the standard in levels
1.5. The meaning of conformance
2. Normative references
3. Special terms, abbreviations, and notation
3.1. Frequently used notation and abbreviations
3.2. Special terms
accuracy mode <\/td>\n<\/tr>\n
13<\/td>\narithmetic operation
bare interval
bounds
box
constant
datum
decoration
decorated interval
domain
elementary function
exception <\/td>\n<\/tr>\n
14<\/td>\nexpression
fma
FTIA, FTDIA
function
hull
implementation
inf-sup
interval
interval extension
interval vector
library
map, mapping
mathematical interval of constructor
NaI, NaN <\/td>\n<\/tr>\n
15<\/td>\nno value
non-arithmetic operation
number
octet
point function
range
string, text
tightest
tightness
type <\/td>\n<\/tr>\n
16<\/td>\nPart 2. Interval Standard (Simplified)
4. Level 1 description
4.1. Level 1 entities
4.2. Intervals <\/td>\n<\/tr>\n
17<\/td>\n4.3. Hull
4.4. Functions
4.4.1. Function terminology
4.4.2. Point function
4.4.3. Point arithmetic operation <\/td>\n<\/tr>\n
18<\/td>\n4.4.4. Interval-valued functions
4.4.5. Constants
4.5. Required operations
4.5.1. Interval constants
4.5.2. Arithmetic operations <\/td>\n<\/tr>\n
20<\/td>\n4.5.3. Cancellative addition and subtraction
4.5.4. Set operations
4.5.5. Constructors <\/td>\n<\/tr>\n
21<\/td>\n4.5.6. Numeric functions of intervals
4.5.7. Boolean functions of intervals <\/td>\n<\/tr>\n
23<\/td>\n5. The decoration system at Level 1
5.1. Overview
5.2. Definitions and properties <\/td>\n<\/tr>\n
24<\/td>\n5.3. The ill-formed interval
5.4. Permitted combinations
5.5. Operations on\/with decorations
5.5.1. Initializing <\/td>\n<\/tr>\n
25<\/td>\n5.5.2. Disassembling and assembling
5.5.3. Comparisons
5.6. Decorations and arithmetic operations
5.7. Decoration of non-arithmetic operations
5.7.1. Interval-valued operations <\/td>\n<\/tr>\n
26<\/td>\n5.7.2. Non-interval-valued operations <\/td>\n<\/tr>\n
27<\/td>\n6. Level 2 description
6.1. Introduction
6.1.1. Interval type
6.1.2. Decorated interval type
6.1.3. Operations
6.1.4. Exception behavior
6.2. Naming conventions for operations <\/td>\n<\/tr>\n
28<\/td>\n6.3. Level 2 hull operation
6.3.1. Hull in one dimension
6.3.2. Hull in n dimensions
6.4. Level 2 interval extensions
6.5. Accuracy of operations
6.5.1. Measures of accuracy <\/td>\n<\/tr>\n
29<\/td>\n6.5.2. Accuracy requirements
6.5.3. Documentation requirements
6.6. Number and interval literals
6.6.1. Number literals <\/td>\n<\/tr>\n
30<\/td>\n6.6.2. Bare intervals
6.6.3. Decorated intervals
6.7. Required operations
6.7.1. Interval constants
6.7.2. Elementary functions <\/td>\n<\/tr>\n
31<\/td>\n6.7.3. Cancellative addition and subtraction
6.7.4. Set operations
6.7.5. Constructors <\/td>\n<\/tr>\n
32<\/td>\n6.7.6. Numeric functions of intervals <\/td>\n<\/tr>\n
33<\/td>\n6.7.7. Boolean functions of intervals
6.7.8. Operations on\/with decorations <\/td>\n<\/tr>\n
34<\/td>\n6.8. Input and output (I\/O) of intervals
6.8.1. Overview
6.8.2. Input
6.8.3. Output <\/td>\n<\/tr>\n
35<\/td>\n7. Levels 3 and 4 description
7.1. Representation
7.2. Operations and representation
7.3. Interchange representations and encodings <\/td>\n<\/tr>\n
37<\/td>\nAnnex A. Features of the full standard IEEE Std 1788-2015 not required in the IEEE Std 1788.1-2017 standard (informative) <\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

IEEE Standard for Interval Arithmetic (Simplified)<\/b><\/p>\n\n\n\n\n
Published By<\/td>\nPublication Date<\/td>\nNumber of Pages<\/td>\n<\/tr>\n
IEEE<\/b><\/a><\/td>\n2018<\/td>\n38<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":194750,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2644],"product_tag":[],"class_list":{"0":"post-194749","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-ieee","8":"first","9":"instock","10":"sold-individually","11":"shipping-taxable","12":"purchasable","13":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/194749","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/194750"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=194749"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=194749"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=194749"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}