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<html lang="en">
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<title>subgroupFunctions(3)</title>
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/*! normalize.css v2.1.2 | MIT License | git.io/normalize */
/* ========================================================================== HTML5 display definitions ========================================================================== */
/** Correct `block` display not defined in IE 8/9. */
article, aside, details, figcaption, figure, footer, header, hgroup, main, nav, section, summary { display: block; }
/** Correct `inline-block` display not defined in IE 8/9. */
audio, canvas, video { display: inline-block; }
/** Prevent modern browsers from displaying `audio` without controls. Remove excess height in iOS 5 devices. */
audio:not([controls]) { display: none; height: 0; }
/** Address `[hidden]` styling not present in IE 8/9. Hide the `template` element in IE, Safari, and Firefox < 22. */
[hidden], template { display: none; }
script { display: none !important; }
/* ========================================================================== Base ========================================================================== */
/** 1. Set default font family to sans-serif. 2. Prevent iOS text size adjust after orientation change, without disabling user zoom. */
html { font-family: sans-serif; /* 1 */ -ms-text-size-adjust: 100%; /* 2 */ -webkit-text-size-adjust: 100%; /* 2 */ }
/** Remove default margin. */
body { margin: 0; }
/* ========================================================================== Links ========================================================================== */
/** Remove the gray background color from active links in IE 10. */
a { background: transparent; }
/** Address `outline` inconsistency between Chrome and other browsers. */
a:focus { outline: thin dotted; }
/** Improve readability when focused and also mouse hovered in all browsers. */
a:active, a:hover { outline: 0; }
/* ========================================================================== Typography ========================================================================== */
/** Address variable `h1` font-size and margin within `section` and `article` contexts in Firefox 4+, Safari 5, and Chrome. */
h1 { font-size: 2em; margin: 0.67em 0; }
/** Address styling not present in IE 8/9, Safari 5, and Chrome. */
abbr[title] { border-bottom: 1px dotted; }
/** Address style set to `bolder` in Firefox 4+, Safari 5, and Chrome. */
b, strong { font-weight: bold; }
/** Address styling not present in Safari 5 and Chrome. */
dfn { font-style: italic; }
/** Address differences between Firefox and other browsers. */
hr { -moz-box-sizing: content-box; box-sizing: content-box; height: 0; }
/** Address styling not present in IE 8/9. */
mark { background: #ff0; color: #000; }
/** Correct font family set oddly in Safari 5 and Chrome. */
code, kbd, pre, samp { font-family: monospace, serif; font-size: 1em; }
/** Improve readability of pre-formatted text in all browsers. */
pre { white-space: pre-wrap; }
/** Set consistent quote types. */
q { quotes: "\201C" "\201D" "\2018" "\2019"; }
/** Address inconsistent and variable font size in all browsers. */
small { font-size: 80%; }
/** Prevent `sub` and `sup` affecting `line-height` in all browsers. */
sub, sup { font-size: 75%; line-height: 0; position: relative; vertical-align: baseline; }
sup { top: -0.5em; }
sub { bottom: -0.25em; }
/* ========================================================================== Embedded content ========================================================================== */
/** Remove border when inside `a` element in IE 8/9. */
img { border: 0; }
/** Correct overflow displayed oddly in IE 9. */
svg:not(:root) { overflow: hidden; }
/* ========================================================================== Figures ========================================================================== */
/** Address margin not present in IE 8/9 and Safari 5. */
figure { margin: 0; }
/* ========================================================================== Forms ========================================================================== */
/** Define consistent border, margin, and padding. */
fieldset { border: 1px solid #c0c0c0; margin: 0 2px; padding: 0.35em 0.625em 0.75em; }
/** 1. Correct `color` not being inherited in IE 8/9. 2. Remove padding so people aren't caught out if they zero out fieldsets. */
legend { border: 0; /* 1 */ padding: 0; /* 2 */ }
/** 1. Correct font family not being inherited in all browsers. 2. Correct font size not being inherited in all browsers. 3. Address margins set differently in Firefox 4+, Safari 5, and Chrome. */
button, input, select, textarea { font-family: inherit; /* 1 */ font-size: 100%; /* 2 */ margin: 0; /* 3 */ }
/** Address Firefox 4+ setting `line-height` on `input` using `!important` in the UA stylesheet. */
button, input { line-height: normal; }
/** Address inconsistent `text-transform` inheritance for `button` and `select`. All other form control elements do not inherit `text-transform` values. Correct `button` style inheritance in Chrome, Safari 5+, and IE 8+. Correct `select` style inheritance in Firefox 4+ and Opera. */
button, select { text-transform: none; }
/** 1. Avoid the WebKit bug in Android 4.0.* where (2) destroys native `audio` and `video` controls. 2. Correct inability to style clickable `input` types in iOS. 3. Improve usability and consistency of cursor style between image-type `input` and others. */
button, html input[type="button"], input[type="reset"], input[type="submit"] { -webkit-appearance: button; /* 2 */ cursor: pointer; /* 3 */ }
/** Re-set default cursor for disabled elements. */
button[disabled], html input[disabled] { cursor: default; }
/** 1. Address box sizing set to `content-box` in IE 8/9. 2. Remove excess padding in IE 8/9. */
input[type="checkbox"], input[type="radio"] { box-sizing: border-box; /* 1 */ padding: 0; /* 2 */ }
/** 1. Address `appearance` set to `searchfield` in Safari 5 and Chrome. 2. Address `box-sizing` set to `border-box` in Safari 5 and Chrome (include `-moz` to future-proof). */
input[type="search"] { -webkit-appearance: textfield; /* 1 */ -moz-box-sizing: content-box; -webkit-box-sizing: content-box; /* 2 */ box-sizing: content-box; }
/** Remove inner padding and search cancel button in Safari 5 and Chrome on OS X. */
input[type="search"]::-webkit-search-cancel-button, input[type="search"]::-webkit-search-decoration { -webkit-appearance: none; }
/** Remove inner padding and border in Firefox 4+. */
button::-moz-focus-inner, input::-moz-focus-inner { border: 0; padding: 0; }
/** 1. Remove default vertical scrollbar in IE 8/9. 2. Improve readability and alignment in all browsers. */
textarea { overflow: auto; /* 1 */ vertical-align: top; /* 2 */ }
/* ========================================================================== Tables ========================================================================== */
/** Remove most spacing between table cells. */
table { border-collapse: collapse; border-spacing: 0; }
meta.foundation-mq-small { font-family: "only screen and (min-width: 768px)"; width: 768px; }
meta.foundation-mq-medium { font-family: "only screen and (min-width:1280px)"; width: 1280px; }
meta.foundation-mq-large { font-family: "only screen and (min-width:1440px)"; width: 1440px; }
*, *:before, *:after { -moz-box-sizing: border-box; -webkit-box-sizing: border-box; box-sizing: border-box; }
html, body { font-size: 100%; }
body { background: #fff; color: #222; padding: 0; margin: 0; font-family: "Helvetica Neue", "Helvetica", Helvetica, Arial, sans-serif; font-weight: normal; font-style: normal; line-height: 1; position: relative; cursor: auto; }
a:hover { cursor: pointer; }
img, object, embed { max-width: 100%; height: auto; }
object, embed { height: 100%; }
img { -ms-interpolation-mode: bicubic; }
#map_canvas img, #map_canvas embed, #map_canvas object, .map_canvas img, .map_canvas embed, .map_canvas object { max-width: none !important; }
.left { float: left !important; }
.right { float: right !important; }
.text-left { text-align: left !important; }
.text-right { text-align: right !important; }
.text-center { text-align: center !important; }
.text-justify { text-align: justify !important; }
.hide { display: none; }
.antialiased { -webkit-font-smoothing: antialiased; }
img { display: inline-block; vertical-align: middle; }
textarea { height: auto; min-height: 50px; }
select { width: 100%; }
object, svg { display: inline-block; vertical-align: middle; }
.center { margin-left: auto; margin-right: auto; }
.spread { width: 100%; }
p.lead, .paragraph.lead > p, #preamble > .sectionbody > .paragraph:first-of-type p { font-size: 1.21875em; line-height: 1.6; }
.subheader, .admonitionblock td.content > .title, .audioblock > .title, .exampleblock > .title, .imageblock > .title, .listingblock > .title, .literalblock > .title, .stemblock > .title, .openblock > .title, .paragraph > .title, .quoteblock > .title, table.tableblock > .title, .verseblock > .title, .videoblock > .title, .dlist > .title, .olist > .title, .ulist > .title, .qlist > .title, .hdlist > .title { line-height: 1.4; color: black; font-weight: 300; margin-top: 0.2em; margin-bottom: 0.5em; }
/* Typography resets */
div, dl, dt, dd, ul, ol, li, h1, h2, h3, #toctitle, .sidebarblock > .content > .title, h4, h5, h6, pre, form, p, blockquote, th, td { margin: 0; padding: 0; direction: ltr; }
/* Default Link Styles */
a { color: #0068b0; text-decoration: none; line-height: inherit; }
a:hover, a:focus { color: #333; }
a img { border: none; }
/* Default paragraph styles */
p { font-family: Noto, sans-serif; font-weight: normal; font-size: 1em; line-height: 1.6; margin-bottom: 0.75em; text-rendering: optimizeLegibility; }
p aside { font-size: 0.875em; line-height: 1.35; font-style: italic; }
/* Default header styles */
h1, h2, h3, #toctitle, .sidebarblock > .content > .title, h4, h5, h6 { font-family: Noto, sans-serif; font-weight: normal; font-style: normal; color: black; text-rendering: optimizeLegibility; margin-top: 0.5em; margin-bottom: 0.5em; line-height: 1.2125em; }
h1 small, h2 small, h3 small, #toctitle small, .sidebarblock > .content > .title small, h4 small, h5 small, h6 small { font-size: 60%; color: #4d4d4d; line-height: 0; }
h1 { font-size: 2.125em; }
h2 { font-size: 1.6875em; }
h3, #toctitle, .sidebarblock > .content > .title { font-size: 1.375em; }
h4 { font-size: 1.125em; }
h5 { font-size: 1.125em; }
h6 { font-size: 1em; }
hr { border: solid #ddd; border-width: 1px 0 0; clear: both; margin: 1.25em 0 1.1875em; height: 0; }
/* Helpful Typography Defaults */
em, i { font-style: italic; line-height: inherit; }
strong, b { font-weight: bold; line-height: inherit; }
small { font-size: 60%; line-height: inherit; }
code { font-family: Consolas, "Liberation Mono", Courier, monospace; font-weight: normal; color: #264357; }
/* Lists */
ul, ol, dl { font-size: 1em; line-height: 1.6; margin-bottom: 0.75em; list-style-position: outside; font-family: Noto, sans-serif; }
ul, ol { margin-left: 1.5em; }
ul.no-bullet, ol.no-bullet { margin-left: 1.5em; }
/* Unordered Lists */
ul li ul, ul li ol { margin-left: 1.25em; margin-bottom: 0; font-size: 1em; /* Override nested font-size change */ }
ul.square li ul, ul.circle li ul, ul.disc li ul { list-style: inherit; }
ul.square { list-style-type: square; }
ul.circle { list-style-type: circle; }
ul.disc { list-style-type: disc; }
ul.no-bullet { list-style: none; }
/* Ordered Lists */
ol li ul, ol li ol { margin-left: 1.25em; margin-bottom: 0; }
/* Definition Lists */
dl dt { margin-bottom: 0.3em; font-weight: bold; }
dl dd { margin-bottom: 0.75em; }
/* Abbreviations */
abbr, acronym { text-transform: uppercase; font-size: 90%; color: black; border-bottom: 1px dotted #ddd; cursor: help; }
abbr { text-transform: none; }
/* Blockquotes */
blockquote { margin: 0 0 0.75em; padding: 0.5625em 1.25em 0 1.1875em; border-left: 1px solid #ddd; }
blockquote cite { display: block; font-size: 0.8125em; color: #365E7A; }
blockquote cite:before { content: "\2014 \0020"; }
blockquote cite a, blockquote cite a:visited { color: #365E7A; }
blockquote, blockquote p { line-height: 1.6; color: #333; }
/* Microformats */
.vcard { display: inline-block; margin: 0 0 1.25em 0; border: 1px solid #ddd; padding: 0.625em 0.75em; }
.vcard li { margin: 0; display: block; }
.vcard .fn { font-weight: bold; font-size: 0.9375em; }
.vevent .summary { font-weight: bold; }
.vevent abbr { cursor: auto; text-decoration: none; font-weight: bold; border: none; padding: 0 0.0625em; }
@media only screen and (min-width: 768px) { h1, h2, h3, #toctitle, .sidebarblock > .content > .title, h4, h5, h6 { line-height: 1.4; }
h1 { font-size: 2.75em; }
h2 { font-size: 2.3125em; }
h3, #toctitle, .sidebarblock > .content > .title { font-size: 1.6875em; }
h4 { font-size: 1.4375em; } }
/* Tables */
table { background: #fff; margin-bottom: 1.25em; border: solid 1px #d8d8ce; }
table thead, table tfoot { background: #eee; font-weight: bold; }
table thead tr th, table thead tr td, table tfoot tr th, table tfoot tr td { padding: 0.5em 0.625em 0.625em; font-size: inherit; color: #222; text-align: left; }
table tr th, table tr td { padding: 0.5625em 0.625em; font-size: inherit; color: #6d6e71; }
table tr.even, table tr.alt, table tr:nth-of-type(even) { background: #f8f8f8; }
table thead tr th, table tfoot tr th, table tbody tr td, table tr td, table tfoot tr td { display: table-cell; line-height: 1.4; }
body { -moz-osx-font-smoothing: grayscale; -webkit-font-smoothing: antialiased; tab-size: 4; }
h1, h2, h3, #toctitle, .sidebarblock > .content > .title, h4, h5, h6 { line-height: 1.4; }
a:hover, a:focus { text-decoration: underline; }
.clearfix:before, .clearfix:after, .float-group:before, .float-group:after { content: " "; display: table; }
.clearfix:after, .float-group:after { clear: both; }
*:not(pre) > code { font-size: inherit; font-style: normal !important; letter-spacing: 0; padding: 0; background-color: transparent; -webkit-border-radius: 0; border-radius: 0; line-height: inherit; word-wrap: break-word; }
*:not(pre) > code.nobreak { word-wrap: normal; }
*:not(pre) > code.nowrap { white-space: nowrap; }
pre, pre > code { line-height: 1.6; color: #264357; font-family: Consolas, "Liberation Mono", Courier, monospace; font-weight: normal; }
em em { font-style: normal; }
strong strong { font-weight: normal; }
.keyseq { color: #333333; }
kbd { font-family: Consolas, "Liberation Mono", Courier, monospace; display: inline-block; color: black; font-size: 0.65em; line-height: 1.45; background-color: #f7f7f7; border: 1px solid #ccc; -webkit-border-radius: 3px; border-radius: 3px; -moz-box-shadow: 0 1px 0 rgba(0, 0, 0, 0.2), 0 0 0 0.1em white inset; -webkit-box-shadow: 0 1px 0 rgba(0, 0, 0, 0.2), 0 0 0 0.1em white inset; box-shadow: 0 1px 0 rgba(0, 0, 0, 0.2), 0 0 0 0.1em white inset; margin: 0 0.15em; padding: 0.2em 0.5em; vertical-align: middle; position: relative; top: -0.1em; white-space: nowrap; }
.keyseq kbd:first-child { margin-left: 0; }
.keyseq kbd:last-child { margin-right: 0; }
.menuseq, .menuref { color: #000; }
.menuseq b:not(.caret), .menuref { font-weight: inherit; }
.menuseq { word-spacing: -0.02em; }
.menuseq b.caret { font-size: 1.25em; line-height: 0.8; }
.menuseq i.caret { font-weight: bold; text-align: center; width: 0.45em; }
b.button:before, b.button:after { position: relative; top: -1px; font-weight: normal; }
b.button:before { content: "["; padding: 0 3px 0 2px; }
b.button:after { content: "]"; padding: 0 2px 0 3px; }
#header, #content, #footnotes, #footer { width: 100%; margin-left: auto; margin-right: auto; margin-top: 0; margin-bottom: 0; max-width: 62.5em; *zoom: 1; position: relative; padding-left: 1.5em; padding-right: 1.5em; }
#header:before, #header:after, #content:before, #content:after, #footnotes:before, #footnotes:after, #footer:before, #footer:after { content: " "; display: table; }
#header:after, #content:after, #footnotes:after, #footer:after { clear: both; }
#content { margin-top: 1.25em; }
#content:before { content: none; }
#header > h1:first-child { color: black; margin-top: 2.25rem; margin-bottom: 0; }
#header > h1:first-child + #toc { margin-top: 8px; border-top: 1px solid #ddd; }
#header > h1:only-child, body.toc2 #header > h1:nth-last-child(2) { border-bottom: 1px solid #ddd; padding-bottom: 8px; }
#header .details { border-bottom: 1px solid #ddd; line-height: 1.45; padding-top: 0.25em; padding-bottom: 0.25em; padding-left: 0.25em; color: #365E7A; display: -ms-flexbox; display: -webkit-flex; display: flex; -ms-flex-flow: row wrap; -webkit-flex-flow: row wrap; flex-flow: row wrap; }
#header .details span:first-child { margin-left: -0.125em; }
#header .details span.email a { color: #333; }
#header .details br { display: none; }
#header .details br + span:before { content: "\00a0\2013\00a0"; }
#header .details br + span.author:before { content: "\00a0\22c5\00a0"; color: #333; }
#header .details br + span#revremark:before { content: "\00a0|\00a0"; }
#header #revnumber { text-transform: capitalize; }
#header #revnumber:after { content: "\00a0"; }
#content > h1:first-child:not([class]) { color: black; border-bottom: 1px solid #ddd; padding-bottom: 8px; margin-top: 0; padding-top: 1rem; margin-bottom: 1.25rem; }
#toc { border-bottom: 0 solid #ddd; padding-bottom: 0.5em; }
#toc > ul { margin-left: 0.125em; }
#toc ul.sectlevel0 > li > a { font-style: italic; }
#toc ul.sectlevel0 ul.sectlevel1 { margin: 0.5em 0; }
#toc ul { font-family: Noto, sans-serif; list-style-type: none; }
#toc li { line-height: 1.3334; margin-top: 0.3334em; }
#toc a { text-decoration: none; }
#toc a:active { text-decoration: underline; }
#toctitle { color: black; font-size: 1.2em; }
@media only screen and (min-width: 768px) { #toctitle { font-size: 1.375em; }
body.toc2 { padding-left: 15em; padding-right: 0; }
#toc.toc2 { margin-top: 0 !important; background-color: #fff; position: fixed; width: 15em; left: 0; top: 0; border-right: 1px solid #ddd; border-top-width: 0 !important; border-bottom-width: 0 !important; z-index: 1000; padding: 1.25em 1em; height: 100%; overflow: auto; }
#toc.toc2 #toctitle { margin-top: 0; margin-bottom: 0.8rem; font-size: 1.2em; }
#toc.toc2 > ul { font-size: 0.9em; margin-bottom: 0; }
#toc.toc2 ul ul { margin-left: 0; padding-left: 1em; }
#toc.toc2 ul.sectlevel0 ul.sectlevel1 { padding-left: 0; margin-top: 0.5em; margin-bottom: 0.5em; }
body.toc2.toc-right { padding-left: 0; padding-right: 15em; }
body.toc2.toc-right #toc.toc2 { border-right-width: 0; border-left: 1px solid #ddd; left: auto; right: 0; } }
@media only screen and (min-width: 1280px) { body.toc2 { padding-left: 20em; padding-right: 0; }
#toc.toc2 { width: 20em; }
#toc.toc2 #toctitle { font-size: 1.375em; }
#toc.toc2 > ul { font-size: 0.95em; }
#toc.toc2 ul ul { padding-left: 1.25em; }
body.toc2.toc-right { padding-left: 0; padding-right: 20em; } }
#content #toc { border-style: solid; border-width: 1px; border-color: #e6e6e6; margin-bottom: 1.25em; padding: 1.25em; background: #fff; -webkit-border-radius: 0; border-radius: 0; }
#content #toc > :first-child { margin-top: 0; }
#content #toc > :last-child { margin-bottom: 0; }
#footer { max-width: 100%; background-color: none; padding: 1.25em; }
#footer-text { color: black; line-height: 1.44; }
#content { margin-bottom: 0.625em; }
.sect1 { padding-bottom: 0.625em; }
@media only screen and (min-width: 768px) { #content { margin-bottom: 1.25em; }
.sect1 { padding-bottom: 1.25em; } }
.sect1:last-child { padding-bottom: 0; }
.sect1 + .sect1 { border-top: 0 solid #ddd; }
#content h1 > a.anchor, h2 > a.anchor, h3 > a.anchor, #toctitle > a.anchor, .sidebarblock > .content > .title > a.anchor, h4 > a.anchor, h5 > a.anchor, h6 > a.anchor { position: absolute; z-index: 1001; width: 1.5ex; margin-left: -1.5ex; display: block; text-decoration: none !important; visibility: hidden; text-align: center; font-weight: normal; }
#content h1 > a.anchor:before, h2 > a.anchor:before, h3 > a.anchor:before, #toctitle > a.anchor:before, .sidebarblock > .content > .title > a.anchor:before, h4 > a.anchor:before, h5 > a.anchor:before, h6 > a.anchor:before { content: "\00A7"; font-size: 0.85em; display: block; padding-top: 0.1em; }
#content h1:hover > a.anchor, #content h1 > a.anchor:hover, h2:hover > a.anchor, h2 > a.anchor:hover, h3:hover > a.anchor, #toctitle:hover > a.anchor, .sidebarblock > .content > .title:hover > a.anchor, h3 > a.anchor:hover, #toctitle > a.anchor:hover, .sidebarblock > .content > .title > a.anchor:hover, h4:hover > a.anchor, h4 > a.anchor:hover, h5:hover > a.anchor, h5 > a.anchor:hover, h6:hover > a.anchor, h6 > a.anchor:hover { visibility: visible; }
#content h1 > a.link, h2 > a.link, h3 > a.link, #toctitle > a.link, .sidebarblock > .content > .title > a.link, h4 > a.link, h5 > a.link, h6 > a.link { color: black; text-decoration: none; }
#content h1 > a.link:hover, h2 > a.link:hover, h3 > a.link:hover, #toctitle > a.link:hover, .sidebarblock > .content > .title > a.link:hover, h4 > a.link:hover, h5 > a.link:hover, h6 > a.link:hover { color: black; }
.audioblock, .imageblock, .literalblock, .listingblock, .stemblock, .videoblock { margin-bottom: 1.25em; }
.admonitionblock td.content > .title, .audioblock > .title, .exampleblock > .title, .imageblock > .title, .listingblock > .title, .literalblock > .title, .stemblock > .title, .openblock > .title, .paragraph > .title, .quoteblock > .title, table.tableblock > .title, .verseblock > .title, .videoblock > .title, .dlist > .title, .olist > .title, .ulist > .title, .qlist > .title, .hdlist > .title { text-rendering: optimizeLegibility; text-align: left; }
table.tableblock > caption.title { white-space: nowrap; overflow: visible; max-width: 0; }
.paragraph.lead > p, #preamble > .sectionbody > .paragraph:first-of-type p { color: black; }
table.tableblock #preamble > .sectionbody > .paragraph:first-of-type p { font-size: inherit; }
.admonitionblock > table { border-collapse: separate; border: 0; background: none; width: 100%; }
.admonitionblock > table td.icon { text-align: center; width: 80px; }
.admonitionblock > table td.icon img { max-width: initial; }
.admonitionblock > table td.icon .title { font-weight: bold; font-family: Noto, sans-serif; text-transform: uppercase; }
.admonitionblock > table td.content { padding-left: 1.125em; padding-right: 1.25em; border-left: 1px solid #ddd; color: #365E7A; }
.admonitionblock > table td.content > :last-child > :last-child { margin-bottom: 0; }
.exampleblock > .content { border-style: solid; border-width: 1px; border-color: #e6e6e6; margin-bottom: 1.25em; padding: 1.25em; background: #fff; -webkit-border-radius: 0; border-radius: 0; }
.exampleblock > .content > :first-child { margin-top: 0; }
.exampleblock > .content > :last-child { margin-bottom: 0; }
.sidebarblock { border-style: solid; border-width: 1px; border-color: #e6e6e6; margin-bottom: 1.25em; padding: 1.25em; background: #fff; -webkit-border-radius: 0; border-radius: 0; }
.sidebarblock > :first-child { margin-top: 0; }
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<body class="manpage">
<div id="header">
<h1>subgroupFunctions(3) Manual Page</h1>
<h2 id="_name">Name</h2>
<div class="sectionbody">
<p>subgroupFunctions - Subgroup Functions</p>
</div>
</div>
<div id="content">
<div class="sect1">
<h2 id="_description"><a class="anchor" href="#_description"></a>Description</h2>
<div class="sectionbody">
<div class="admonitionblock note">
<table>
<tr>
<td class="icon">
<i class="fa icon-note" title="Note"></i>
</td>
<td class="content">
The functionality described in this section <a href="https://www.khronos.org/registry/OpenCL/specs/3.0-unified/html/OpenCL_C.html#unified-spec" target="_blank" rel="noopener">requires</a>
support for OpenCL C 3.0 or newer and the <code>__opencl_c_<wbr>subgroups</code> feature.
</td>
</tr>
</table>
</div>
<div class="paragraph">
<p>The table below describes OpenCL C programming language built-in functions that operate on a subgroup level.
These built-in functions must be encountered by all work-items in the subgroup executing the kernel.
For the functions below, the generic type name <code>gentype</code> may be the one of the
supported built-in scalar data types <code>int</code>, <code>uint</code>, <code>long</code>
<sup class="footnote">[<a id="_footnoteref_1" class="footnote" href="#_footnotedef_1" title="View footnote.">1</a>]</sup>, <code>ulong</code>, <code>half</code> <sup class="footnote">[<a id="_footnoteref_2" class="footnote" href="#_footnotedef_2" title="View footnote.">2</a>]</sup>,
<code>float</code>, and <code>double</code> <sup class="footnote">[<a id="_footnoteref_3" class="footnote" href="#_footnotedef_3" title="View footnote.">3</a>]</sup>.</p>
</div>
<table class="tableblock frame-all grid-all stretch">
<caption class="title">Table 1. Built-in Subgroup Collective Functions</caption>
<colgroup>
<col style="width: 50%;">
<col style="width: 50%;">
</colgroup>
<thead>
<tr>
<th class="tableblock halign-left valign-top"><strong>Function</strong></th>
<th class="tableblock halign-left valign-top"><strong>Description</strong></th>
</tr>
</thead>
<tbody>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">int <strong>sub_group_all</strong> (int <em>predicate</em>)</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Evaluates <em>predicate</em> for all work-items in the subgroup and returns a
non-zero value if <em>predicate</em> evaluates to non-zero for all work-items in
the subgroup.</p></td>
</tr>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">int <strong>sub_group_any</strong> (int <em>predicate</em>)</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Evaluates <em>predicate</em> for all work-items in the subgroup and returns a
non-zero value if <em>predicate</em> evaluates to non-zero for any work-items in
the subgroup.</p></td>
</tr>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">gentype <strong>sub_group_broadcast</strong> (<br>
gentype <em>x</em>, uint <em>sub_group_local_id</em>)</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Broadcast the value of <em>x</em> for work-item identified by
<em>sub_group_local_id</em> (value returned by <strong>get_sub_group_local_id</strong>) to all
work-items in the subgroup.</p>
<p class="tableblock"> Behavior is undefined when the value of <em>sub_group_local_id</em> is not
equivalent for all work-items in the subgroup.</p>
<p class="tableblock"> Behavior is undefined when <em>sub_group_local_id</em> is greater or equal to the
subgroup size.</p></td>
</tr>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">gentype <strong>sub_group_reduce_&lt;op&gt;</strong> (<br>
gentype <em>x</em>)</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Return result of reduction operation specified by <strong>&lt;op&gt;</strong> for all values of
<em>x</em> specified by work-items in a subgroup.</p></td>
</tr>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">gentype <strong>sub_group_scan_exclusive_&lt;op&gt;</strong> (<br>
gentype <em>x</em>)</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Do an exclusive scan operation specified by <strong>&lt;op&gt;</strong> of all values specified
by work-items in a subgroup.
The scan results are returned for each work-item.</p>
<p class="tableblock"> The scan order is defined by increasing subgroup local ID within the
subgroup.</p></td>
</tr>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">gentype <strong>sub_group_scan_inclusive_&lt;op&gt;</strong> (<br>
gentype <em>x</em>)</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Do an inclusive scan operation specified by <strong>&lt;op&gt;</strong> of all values specified
by work-items in a subgroup.
The scan results are returned for each work-item.</p>
<p class="tableblock"> The scan order is defined by increasing subgroup local ID within the
subgroup.</p></td>
</tr>
</tbody>
</table>
<div class="paragraph">
<p>The <strong>&lt;op&gt;</strong> in <strong>sub_group_reduce_&lt;op&gt;</strong>, <strong>sub_group_scan_inclusive_&lt;op&gt;</strong> and <strong>sub_group_scan_exclusive_&lt;op&gt;</strong> defines the operator and can be <strong>add</strong>, <strong>min</strong> or <strong>max</strong>.</p>
</div>
<div class="paragraph">
<p>The exclusive scan operation takes a binary operator <strong>op</strong> with an identity I and <em>n</em> (where <em>n</em> is the size of the sub-group) elements [a<sub>0</sub>, a<sub>1</sub>, &#8230;&#8203; a<sub>n-1</sub>] and returns [I, a<sub>0</sub>, (a<sub>0</sub> <strong>op</strong> a<sub>1</sub>), &#8230;&#8203; (a<sub>0</sub> <strong>op</strong> a<sub>1</sub> <strong>op</strong> &#8230;&#8203; <strong>op</strong> a<sub>n-2</sub>)].</p>
</div>
<div class="paragraph">
<p>The inclusive scan operation takes a binary operator <strong>op</strong> with an identity I and <em>n</em> (where <em>n</em> is the size of the sub-group) elements [a<sub>0</sub>, a<sub>1</sub>, &#8230;&#8203; a<sub>n-1</sub>] and returns [a<sub>0</sub>, (a<sub>0</sub> <strong>op</strong> a<sub>1</sub>), &#8230;&#8203; (a<sub>0</sub> <strong>op</strong> a<sub>1</sub> <strong>op</strong> &#8230;&#8203; <strong>op</strong> a<sub>n-1</sub>)].</p>
</div>
<div class="paragraph">
<p>If <strong>op</strong> = <strong>add</strong>, the identity I is 0.
If <strong>op</strong> = <strong>min</strong>, the identity I is <code>INT_MAX</code>, <code>UINT_MAX</code>, <code>LONG_MAX</code>, <code>ULONG_MAX</code>, for <code>int</code>, <code>uint</code>, <code>long</code>, <code>ulong</code> types and is <code>+INF</code> for
floating-point types.
Similarly if <strong>op</strong> = max, the identity I is <code>INT_MIN</code>, 0, <code>LONG_MIN</code>, 0 and <code>-INF</code>.</p>
</div>
<div class="admonitionblock note">
<table>
<tr>
<td class="icon">
<i class="fa icon-note" title="Note"></i>
</td>
<td class="content">
<div class="paragraph">
<p>The order of floating-point operations is not guaranteed for the <strong>sub_group_reduce_&lt;op&gt;</strong>, <strong>sub_group_scan_inclusive_&lt;op&gt;</strong> and <strong>sub_group_scan_exclusive_&lt;op&gt;</strong> built-in functions that operate on <code>half</code>, <code>float</code> and <code>double</code> data types.
The order of these floating-point operations is also non-deterministic for a given sub-group.</p>
</div>
</td>
</tr>
</table>
</div>
<div class="admonitionblock note">
<table>
<tr>
<td class="icon">
<i class="fa icon-note" title="Note"></i>
</td>
<td class="content">
The functionality described in the following table <a href="https://www.khronos.org/registry/OpenCL/specs/3.0-unified/html/OpenCL_C.html#unified-spec" target="_blank" rel="noopener">requires</a> support for OpenCL C 3.0 or newer and the <code>__opencl_c_<wbr>subgroups</code>
and <code>__opencl_c_<wbr>pipes</code> features.
</td>
</tr>
</table>
</div>
<div class="paragraph">
<p>The following table describes built-in pipe functions that operate at a
subgroup level.
These built-in functions must be encountered by all work-items in a subgroup
executing the kernel with the same argument values, otherwise the behavior
is undefined.
We use the generic type name <code>gentype</code> to indicate the built-in OpenCL C
scalar or vector integer or floating-point data types or any user defined
type built from these scalar and vector data types can be used as the type
for the arguments to the pipe functions listed in <em>table 6.29</em>.</p>
</div>
<table class="tableblock frame-all grid-all stretch">
<caption class="title">Table 2. Built-in Subgroup Pipe Functions</caption>
<colgroup>
<col style="width: 50%;">
<col style="width: 50%;">
</colgroup>
<thead>
<tr>
<th class="tableblock halign-left valign-top"><strong>Function</strong></th>
<th class="tableblock halign-left valign-top"><strong>Description</strong></th>
</tr>
</thead>
<tbody>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">reserve_id_t <strong>sub_group_reserve_read_pipe</strong> (<br>
read_only pipe gentype <em>pipe</em>,<br>
uint <em>num_packets</em>)</p>
<p class="tableblock"> reserve_id_t <strong>sub_group_reserve_write_pipe</strong> (<br>
write_only pipe gentype <em>pipe</em>,<br>
uint <em>num_packets</em>)</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Reserve <em>num_packets</em> entries for reading from or writing to <em>pipe</em>.
Returns a valid non-zero reservation ID if the reservation is successful
and 0 otherwise.</p>
<p class="tableblock"> The reserved pipe entries are referred to by indices that go from 0 &#8230;&#8203;
<em>num_packets</em> - 1.</p></td>
</tr>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">void <strong>sub_group_commit_read_pipe</strong> (<br>
read_only pipe gentype <em>pipe</em>,<br>
reserve_id_t <em>reserve_id</em>)</p>
<p class="tableblock"> void <strong>sub_group_commit_write_pipe</strong> (<br>
write_only pipe gentype <em>pipe</em>,<br>
reserve_id_t <em>reserve_id</em>)</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Indicates that all reads and writes to <em>num_packets</em> associated with
reservation <em>reserve_id</em> are completed.</p></td>
</tr>
</tbody>
</table>
<div class="paragraph">
<p>Note: Reservations made by a subgroup are ordered in the pipe as they are
ordered in the program.
Reservations made by different subgroups that belong to the same work-group
can be ordered using subgroup synchronization.
The order of subgroup based reservations that belong to different work
groups is implementation defined.</p>
</div>
<div class="admonitionblock note">
<table>
<tr>
<td class="icon">
<i class="fa icon-note" title="Note"></i>
</td>
<td class="content">
The functionality described in the following table <a href="https://www.khronos.org/registry/OpenCL/specs/3.0-unified/html/OpenCL_C.html#unified-spec" target="_blank" rel="noopener">requires</a> support for OpenCL C 3.0 or newer and the <code>__opencl_c_<wbr>subgroups</code>
and <code>__opencl_c_<wbr>device_<wbr>enqueue</code> features.
</td>
</tr>
</table>
</div>
<div class="paragraph">
<p>The following table describes built-in functions to query subgroup
information for a block to be enqueued.</p>
</div>
<table class="tableblock frame-all grid-all stretch">
<caption class="title">Table 3. Built-in Subgroup Kernel Query Functions</caption>
<colgroup>
<col style="width: 55.5555%;">
<col style="width: 44.4445%;">
</colgroup>
<thead>
<tr>
<th class="tableblock halign-left valign-top"><strong>Built-in Function</strong></th>
<th class="tableblock halign-left valign-top"><strong>Description</strong></th>
</tr>
</thead>
<tbody>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">uint <strong>get_kernel_sub_group_count_for_ndrange</strong> (<br>
const ndrange_t <em>ndrange</em>,<br>
void (^block)(void));</p>
<p class="tableblock"> uint <strong>get_kernel_sub_group_count_for_ndrange</strong> (<br>
const ndrange_t <em>ndrange</em>,<br>
void (^block)(local void *, &#8230;&#8203;));</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Returns the number of subgroups in each work-group of the dispatch (except
for the last in cases where the global size does not divide cleanly into
work-groups) given the combination of the passed ndrange and block.</p>
<p class="tableblock"> <em>block</em> specifies the block to be enqueued.</p></td>
</tr>
<tr>
<td class="tableblock halign-left valign-top"><p class="tableblock">uint <strong>get_kernel_max_sub_group_size_for_ndrange</strong> (<br>
const ndrange_t <em>ndrange</em>,<br>
void (^block)(void));<br></p>
<p class="tableblock"> uint <strong>get_kernel_max_sub_group_size_for_ndrange</strong> (<br>
const ndrange_t <em>ndrange</em>,<br>
void (^block)(local void *, &#8230;&#8203;));</p></td>
<td class="tableblock halign-left valign-top"><p class="tableblock">Returns the maximum subgroup size for a block.</p></td>
</tr>
</tbody>
</table>
</div>
</div>
<div class="sect1">
<h2 id="_see_also"><a class="anchor" href="#_see_also"></a>See Also</h2>
<div class="sectionbody">
<div class="paragraph">
<p>No cross-references are available</p>
</div>
</div>
</div>
<div class="sect1">
<h2 id="_document_notes"><a class="anchor" href="#_document_notes"></a>Document Notes</h2>
<div class="sectionbody">
<div class="paragraph">
<p>For more information, see the <a href="https://www.khronos.org/registry/OpenCL/specs/3.0-unified/html/OpenCL_C.html#subgroup-functions" target="_blank" rel="noopener">OpenCL C Specification</a></p>
</div>
<div class="paragraph">
<p>This page is extracted from the OpenCL C Specification.
Fixes and changes should be made to the Specification, not directly.</p>
</div>
</div>
</div>
<div class="sect1">
<h2 id="_copyright"><a class="anchor" href="#_copyright"></a>Copyright</h2>
<div class="sectionbody">
<div class="paragraph">
<p>Copyright 2014-2023 The Khronos Group Inc.</p>
</div>
<div class="paragraph">
<p>SPDX-License-Identifier: CC-BY-4.0</p>
</div>
</div>
</div>
</div>
<div id="footnotes">
<hr>
<div class="footnote" id="_footnotedef_1">
<a href="#_footnoteref_1">1</a>. Only if 64-bit integers are supported. In OpenCL C 3.0 this will be indicated by the presence of the <code>__opencl_c_int64</code> feature macro.
</div>
<div class="footnote" id="_footnotedef_2">
<a href="#_footnoteref_2">2</a>. Only if the <strong>cl_khr_fp16</strong> extension is supported and has been enabled.
</div>
<div class="footnote" id="_footnotedef_3">
<a href="#_footnoteref_3">3</a>. Only if double precision is supported. In OpenCL C 3.0 this will be indicated by the presence of the <code>__opencl_c_fp64</code> feature macro.
</div>
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