Internet DRAFT - draft-ietf-cellar-ffv1-12.html
draft-ietf-cellar-ffv1-12.html
<!DOCTYPE html>
<html lang="en" class="Internet-Draft">
<head>
<meta charset="utf-8">
<meta content="Common,Latin" name="scripts">
<meta content="initial-scale=1.0" name="viewport">
<title>FFV1 Video Coding Format Version 0, 1, and 3</title>
<meta content="Michael Niedermayer" name="author">
<meta content="Dave Rice" name="author">
<meta content="Jerome Martinez" name="author">
<meta content="
This document defines FFV1, a lossless intra-frame video encoding format. FFV1 is designed to efficiently compress video data in a variety of pixel formats. Compared to uncompressed video, FFV1 offers storage compression, frame fixity, and self-description, which makes FFV1 useful as a preservation or intermediate video format.
" name="description">
<meta content="xml2rfc 2.38.1" name="generator">
<meta content="draft-ietf-cellar-ffv1-12" name="ietf.draft">
<link href="/tmp/draft-ietf-cellar-ffv1-12-qwpjm8_i.xml" rel="alternate" type="application/rfc+xml">
<link href="#copyright" rel="license">
<style type="text/css">/*
NOTE: Changes at the bottom of this file overrides some earlier settings.
Once the style has stabilized and has been adopted as an official RFC style,
this can be consolidated so that style settings occur only in one place, but
for now the contents of this file consists first of the initial CSS work as
provided to the RFC Formatter (xml2rfc) work, followed by itemized and
commented changes found necssary during the development of the v3
formatters.
*/
/* fonts */
@import url('https://fonts.googleapis.com/css?family=Noto+Sans'); /* Sans-serif */
@import url('https://fonts.googleapis.com/css?family=Noto+Serif'); /* Serif (print) */
@import url('https://fonts.googleapis.com/css?family=Roboto+Mono'); /* Monospace */
@viewport {
zoom: 1.0;
width: extend-to-zoom;
}
@-ms-viewport {
width: extend-to-zoom;
zoom: 1.0;
}
/* general and mobile first */
html {
}
body {
max-width: 90%;
margin: 1.5em auto;
color: #222;
background-color: #fff;
font-size: 14px;
font-family: 'Noto Sans', Arial, Helvetica, sans-serif;
line-height: 1.6;
scroll-behavior: smooth;
}
.ears {
display: none;
}
/* headings */
#title, h1, h2, h3, h4, h5, h6 {
margin: 1em 0 0.5em;
font-weight: bold;
line-height: 1.3;
}
#title {
clear: both;
border-bottom: 1px solid #ddd;
margin: 0 0 0.5em 0;
padding: 1em 0 0.5em;
}
.author {
padding-bottom: 4px;
}
h1 {
font-size: 26px;
margin: 1em 0;
}
h2 {
font-size: 22px;
margin-top: -20px; /* provide offset for in-page anchors */
padding-top: 33px;
}
h3 {
font-size: 18px;
margin-top: -36px; /* provide offset for in-page anchors */
padding-top: 42px;
}
h4 {
font-size: 16px;
margin-top: -36px; /* provide offset for in-page anchors */
padding-top: 42px;
}
h5, h6 {
font-size: 14px;
}
#n-copyright-notice {
border-bottom: 1px solid #ddd;
padding-bottom: 1em;
margin-bottom: 1em;
}
/* general structure */
p {
padding: 0;
margin: 0 0 1em 0;
text-align: left;
}
div, span {
position: relative;
}
div {
margin: 0;
}
.alignRight.art-text {
background-color: #f9f9f9;
border: 1px solid #eee;
border-radius: 3px;
padding: 1em 1em 0;
margin-bottom: 1.5em;
}
.alignRight.art-text pre {
padding: 0;
}
.alignRight {
margin: 1em 0;
}
.alignRight > *:first-child {
border: none;
margin: 0;
float: right;
clear: both;
}
.alignRight > *:nth-child(2) {
clear: both;
display: block;
border: none;
}
svg {
display: block;
}
.alignCenter.art-text {
background-color: #f9f9f9;
border: 1px solid #eee;
border-radius: 3px;
padding: 1em 1em 0;
margin-bottom: 1.5em;
}
.alignCenter.art-text pre {
padding: 0;
}
.alignCenter {
margin: 1em 0;
}
.alignCenter > *:first-child {
border: none;
/* this isn't optimal, but it's an existence proof. PrinceXML doesn't
support flexbox yet.
*/
display: table;
margin: 0 auto;
}
/* lists */
ol, ul {
padding: 0;
margin: 0 0 1em 2em;
}
ol ol, ul ul, ol ul, ul ol {
margin-left: 1em;
}
li {
margin: 0 0 0.25em 0;
}
.ulCompact li {
margin: 0;
}
ul.empty, .ulEmpty {
list-style-type: none;
}
ul.empty li, .ulEmpty li {
margin-top: 0.5em;
}
ul.compact, .ulCompact,
ol.compact, .olCompact {
line-height: 100%;
margin: 0 0 0 2em;
}
/* definition lists */
dl {
}
dl > dt {
float: left;
margin-right: 1em;
}
/*
dl.nohang > dt {
float: none;
}
*/
dl > dd {
margin-bottom: .8em;
min-height: 1.3em;
}
dl.compact > dd, .dlCompact > dd {
margin-bottom: 0em;
}
dl > dd > dl {
margin-top: 0.5em;
margin-bottom: 0em;
}
/* links */
a {
text-decoration: none;
}
a[href] {
color: #22e; /* Arlen: WCAG 2019 */
}
a[href]:hover {
background-color: #f2f2f2;
}
figcaption a[href],
a[href].selfRef {
color: #222;
}
/* XXX probably not this:
a.selfRef:hover {
background-color: transparent;
cursor: default;
} */
/* Figures */
tt, code, pre, code {
background-color: #f9f9f9;
font-family: 'Roboto Mono', monospace;
}
pre {
border: 1px solid #eee;
margin: 0;
padding: 1em;
}
img {
max-width: 100%;
}
figure {
margin: 0;
}
figure blockquote {
margin: 0.8em 0.4em 0.4em;
}
figcaption {
font-style: italic;
margin: 0 0 1em 0;
}
@media screen {
pre {
overflow-x: auto;
max-width: 100%;
max-width: calc(100% - 22px);
}
}
/* aside, blockquote */
aside, blockquote {
margin-left: 0;
padding: 1.2em 2em;
}
blockquote {
background-color: #f9f9f9;
color: #111; /* Arlen: WCAG 2019 */
border: 1px solid #ddd;
border-radius: 3px;
margin: 1em 0;
}
cite {
display: block;
text-align: right;
font-style: italic;
}
/* tables */
table {
width: 100%;
margin: 0 0 1em;
border-collapse: collapse;
border: 1px solid #eee;
}
th, td {
text-align: left;
vertical-align: top;
padding: 0.5em 0.75em;
}
th {
text-align: left;
background-color: #e9e9e9;
}
tr:nth-child(2n+1) > td {
background-color: #f5f5f5;
}
table caption {
font-style: italic;
margin: 0;
padding: 0;
text-align: left;
}
table p {
/* XXX to avoid bottom margin on table row signifiers. If paragraphs should
be allowed within tables more generally, it would be far better to select on a class. */
margin: 0;
}
/* pilcrow */
a.pilcrow {
color: #666; /* Arlen: AHDJ 2019 */
text-decoration: none;
visibility: hidden;
user-select: none;
-ms-user-select: none;
-o-user-select:none;
-moz-user-select: none;
-khtml-user-select: none;
-webkit-user-select: none;
-webkit-touch-callout: none;
}
@media screen {
aside:hover > a.pilcrow,
p:hover > a.pilcrow,
blockquote:hover > a.pilcrow,
div:hover > a.pilcrow,
li:hover > a.pilcrow,
pre:hover > a.pilcrow {
visibility: visible;
}
a.pilcrow:hover {
background-color: transparent;
}
}
/* misc */
hr {
border: 0;
border-top: 1px solid #eee;
}
.bcp14 {
font-variant: small-caps;
}
.role {
font-variant: all-small-caps;
}
/* info block */
#identifiers {
margin: 0;
font-size: 0.9em;
}
#identifiers dt {
width: 3em;
clear: left;
}
#identifiers dd {
float: left;
margin-bottom: 0;
}
#identifiers .authors .author {
display: inline-block;
margin-right: 1.5em;
}
#identifiers .authors .org {
font-style: italic;
}
/* The prepared/rendered info at the very bottom of the page */
.docInfo {
color: #666; /* Arlen: WCAG 2019 */
font-size: 0.9em;
font-style: italic;
margin-top: 2em;
}
.docInfo .prepared {
float: left;
}
.docInfo .prepared {
float: right;
}
/* table of contents */
#toc {
padding: 0.75em 0 2em 0;
margin-bottom: 1em;
}
nav.toc ul {
margin: 0 0.5em 0 0;
padding: 0;
list-style: none;
}
nav.toc li {
line-height: 1.3em;
margin: 0.75em 0;
padding-left: 1.2em;
text-indent: -1.2em;
}
/* references */
.references dt {
text-align: right;
font-weight: bold;
min-width: 7em;
}
.references dd {
margin-left: 8em;
overflow: auto;
}
.refInstance {
margin-bottom: 1.25em;
}
.references .ascii {
margin-bottom: 0.25em;
}
/* index */
.index ul {
margin: 0 0 0 1em;
padding: 0;
list-style: none;
}
.index ul ul {
margin: 0;
}
.index li {
margin: 0;
text-indent: -2em;
padding-left: 2em;
padding-bottom: 5px;
}
.indexIndex {
margin: 0.5em 0 1em;
}
.index a {
font-weight: 700;
}
/* make the index two-column on all but the smallest screens */
@media (min-width: 600px) {
.index ul {
-moz-column-count: 2;
-moz-column-gap: 20px;
}
.index ul ul {
-moz-column-count: 1;
-moz-column-gap: 0;
}
}
/* authors */
address.vcard {
font-style: normal;
margin: 1em 0;
}
address.vcard .nameRole {
font-weight: 700;
margin-left: 0;
}
address.vcard .label {
font-family: "Noto Sans",Arial,Helvetica,sans-serif;
margin: 0.5em 0;
}
address.vcard .type {
display: none;
}
.alternative-contact {
margin: 1.5em 0 1em;
}
hr.addr {
border-top: 1px dashed;
margin: 0;
color: #ddd;
max-width: calc(100% - 16px);
}
/* temporary notes */
.rfcEditorRemove::before {
position: absolute;
top: 0.2em;
right: 0.2em;
padding: 0.2em;
content: "The RFC Editor will remove this note";
color: #9e2a00; /* Arlen: WCAG 2019 */
background-color: #ffd; /* Arlen: WCAG 2019 */
}
.rfcEditorRemove {
position: relative;
padding-top: 1.8em;
background-color: #ffd; /* Arlen: WCAG 2019 */
border-radius: 3px;
}
.cref {
background-color: #ffd; /* Arlen: WCAG 2019 */
padding: 2px 4px;
}
.crefSource {
font-style: italic;
}
/* alternative layout for smaller screens */
@media screen and (max-width: 1023px) {
body {
padding-top: 2em;
}
#title {
padding: 1em 0;
}
h1 {
font-size: 24px;
}
h2 {
font-size: 20px;
margin-top: -18px; /* provide offset for in-page anchors */
padding-top: 38px;
}
#identifiers dd {
max-width: 60%;
}
#toc {
position: fixed;
z-index: 2;
top: 0;
right: 0;
padding: 0;
margin: 0;
background-color: inherit;
border-bottom: 1px solid #ccc;
}
#toc h2 {
margin: -1px 0 0 0;
padding: 4px 0 4px 6px;
padding-right: 1em;
min-width: 190px;
font-size: 1.1em;
text-align: right;
background-color: #444;
color: white;
cursor: pointer;
}
#toc h2::before { /* css hamburger */
float: right;
position: relative;
width: 1em;
height: 1px;
left: -164px;
margin: 6px 0 0 0;
background: white none repeat scroll 0 0;
box-shadow: 0 4px 0 0 white, 0 8px 0 0 white;
content: "";
}
#toc nav {
display: none;
padding: 0.5em 1em 1em;
overflow: auto;
height: calc(100vh - 48px);
border-left: 1px solid #ddd;
}
}
/* alternative layout for wide screens */
@media screen and (min-width: 1024px) {
body {
max-width: 724px;
margin: 42px auto;
padding-left: 1.5em;
padding-right: 29em;
}
#toc {
position: fixed;
top: 42px;
right: 42px;
width: 25%;
margin: 0;
padding: 0 1em;
z-index: 1;
}
#toc h2 {
border-top: none;
border-bottom: 1px solid #ddd;
font-size: 1em;
font-weight: normal;
margin: 0;
padding: 0.25em 1em 1em 0;
}
#toc nav {
display: block;
height: calc(90vh - 84px);
bottom: 0;
padding: 0.5em 0 0;
overflow: auto;
}
img { /* future proofing */
max-width: 100%;
height: auto;
}
}
/* pagination */
@media print {
body {
width: 100%;
}
p {
orphans: 3;
widows: 3;
}
#n-copyright-notice {
border-bottom: none;
}
#toc, #n-introduction {
page-break-before: always;
}
#toc {
border-top: none;
padding-top: 0;
}
figure, pre {
page-break-inside: avoid;
}
figure {
overflow: scroll;
}
h1, h2, h3, h4, h5, h6 {
page-break-after: avoid;
}
h2+*, h3+*, h4+*, h5+*, h6+* {
page-break-before: avoid;
}
pre {
white-space: pre-wrap;
word-wrap: break-word;
font-size: 10pt;
}
table {
border: 1px solid #ddd;
}
td {
border-top: 1px solid #ddd;
}
}
/* This is commented out here, as the string-set: doesn't
pass W3C validation currently */
/*
.ears thead .left {
string-set: ears-top-left content();
}
.ears thead .center {
string-set: ears-top-center content();
}
.ears thead .right {
string-set: ears-top-right content();
}
.ears tfoot .left {
string-set: ears-bottom-left content();
}
.ears tfoot .center {
string-set: ears-bottom-center content();
}
.ears tfoot .right {
string-set: ears-bottom-right content();
}
*/
@page :first {
padding-top: 0;
@top-left {
content: normal;
border: none;
}
@top-center {
content: normal;
border: none;
}
@top-right {
content: normal;
border: none;
}
}
@page {
size: A4;
margin-bottom: 45mm;
padding-top: 20px;
/* The follwing is commented out here, but set appropriately by in code, as
the content depends on the document */
/*
@top-left {
content: 'Internet-Draft';
vertical-align: bottom;
border-bottom: solid 1px #ccc;
}
@top-left {
content: string(ears-top-left);
vertical-align: bottom;
border-bottom: solid 1px #ccc;
}
@top-center {
content: string(ears-top-center);
vertical-align: bottom;
border-bottom: solid 1px #ccc;
}
@top-right {
content: string(ears-top-right);
vertical-align: bottom;
border-bottom: solid 1px #ccc;
}
@bottom-left {
content: string(ears-bottom-left);
vertical-align: top;
border-top: solid 1px #ccc;
}
@bottom-center {
content: string(ears-bottom-center);
vertical-align: top;
border-top: solid 1px #ccc;
}
@bottom-right {
content: '[Page ' counter(page) ']';
vertical-align: top;
border-top: solid 1px #ccc;
}
*/
}
/* Changes introduced to fix issues found during implementation */
/* Make sure links are clickable even if overlapped by following H* */
a {
z-index: 2;
}
/* Separate body from document info even without intervening H1 */
section {
clear: both;
}
/* Top align author divs, to avoid names without organization dropping level with org names */
.author {
vertical-align: top;
}
/* Leave room in document info to show Internet-Draft on one line */
#identifiers dt {
width: 8em;
}
/* Don't waste quite as much whitespace between label and value in doc info */
#identifiers dd {
margin-left: 1em;
}
/* Give floating toc a background color (needed when it's a div inside section */
#toc {
background-color: white;
}
/* Make the collapsed ToC header render white on gray also when it's a link */
@media screen and (max-width: 1023px) {
#toc h2 a,
#toc h2 a:link,
#toc h2 a:focus,
#toc h2 a:hover,
#toc a.toplink,
#toc a.toplink:hover {
color: white;
background-color: #444;
text-decoration: none;
}
}
/* Give the bottom of the ToC some whitespace */
@media screen and (min-width: 1024px) {
#toc {
padding: 0 0 1em 1em;
}
}
/* Style section numbers with more space between number and title */
.section-number {
padding-right: 0.5em;
}
/* prevent monospace from becoming overly large */
tt, code, pre, code {
font-size: 95%;
}
/* Fix the height/width aspect for ascii art*/
pre.sourcecode,
.art-text pre {
line-height: 1.12;
}
/* Add styling for a link in the ToC that points to the top of the document */
a.toplink {
float: right;
margin-right: 0.5em;
}
/* Fix the dl styling to match the RFC 7992 attributes */
dl > dt,
dl.dlParallel > dt {
float: left;
margin-right: 1em;
}
dl.dlNewline > dt {
float: none;
}
/* Provide styling for table cell text alignment */
table td.text-left,
table th.text-left {
text-align: left;
}
table td.text-center,
table th.text-center {
text-align: center;
}
table td.text-right,
table th.text-right {
text-align: right;
}
/* Make the alternative author contact informatio look less like just another
author, and group it closer with the primary author contact information */
.alternative-contact {
margin: 0.5em 0 0.25em 0;
}
address .non-ascii {
margin: 0 0 0 2em;
}
/* With it being possible to set tables with alignment
left, center, and right, { width: 100%; } does not make sense */
table {
width: auto;
}
/* Avoid reference text that sits in a block with very wide left margin,
because of a long floating dt label.*/
.references dd {
overflow: visible;
}
/* Control caption placement */
caption {
caption-side: bottom;
}
/* Limit the width of the author address vcard, so names in right-to-left
script don't end up on the other side of the page. */
address.vcard {
max-width: 30em;
margin-right: auto;
}
/* For address alignment dependent on LTR or RTL scripts */
address div.left {
text-align: left;
}
address div.right {
text-align: right;
}
/* Provide table alignment support. We can't use the alignX classes above
since they do unwanted things with caption and other styling. */
table.right {
margin-left: auto;
margin-right: 0;
}
table.center {
margin-left: auto;
margin-right: auto;
}
table.left {
margin-left: 0;
margin-right: auto;
}
/* Give the table caption label the same styling as the figcaption */
caption a[href] {
color: #222;
}
@media print {
.toplink {
display: none;
}
/* avoid overwriting the top border line with the ToC header */
#toc {
padding-top: 1px;
}
/* Avoid page breaks inside dl and author address entries */
.vcard {
page-break-inside: avoid;
}
}
/* Avoid wrapping of URLs in references */
@media screen {
.references a {
white-space: nowrap;
}
}
/* Tweak the bcp14 keyword presentation */
.bcp14 {
font-variant: small-caps;
font-weight: bold;
font-size: 0.9em;
}
/* Tweak the invisible space above H* in order not to overlay links in text above */
h2 {
margin-top: -18px; /* provide offset for in-page anchors */
padding-top: 31px;
}
h3 {
margin-top: -18px; /* provide offset for in-page anchors */
padding-top: 24px;
}
h4 {
margin-top: -18px; /* provide offset for in-page anchors */
padding-top: 24px;
}
/* Float artwork pilcrow to the right */
@media screen {
.artwork a.pilcrow {
display: block;
line-height: 0.7;
margin-top: 0.15em;
}
}
/* Make pilcrows on dd visible */
@media screen {
dd:hover > a.pilcrow {
visibility: visible;
}
}
/* Make the placement of figcaption match that of a table's caption
by removing the figure's added bottom margin */
.alignLeft.art-text,
.alignCenter.art-text,
.alignRight.art-text {
margin-bottom: 0;
}
.alignLeft,
.alignCenter,
.alignRight {
margin: 1em 0 0 0;
}
/* In print, the pilcrow won't show on hover, so prevent it from taking up space,
possibly even requiring a new line */
@media print {
a.pilcrow {
display: none;
}
}
/* Styling for the external metadata */
div#external-metadata {
background-color: #eee;
padding: 0.5em;
margin-bottom: 0.5em;
display: none;
}
div#internal-metadata {
padding: 0.5em; /* to match the external-metadata padding */
}
/* Styling for title RFC Number */
h1#rfcnum {
clear: both;
margin: 0 0 -1em;
padding: 1em 0 0 0;
}
/* Make .olPercent look the same as <ol><li> */
dl.olPercent > dd {
margin: 0 0 0.25em 0;
min-height: initial;
}
/* Give aside some styling to set it apart */
aside {
border-left: 1px solid #ddd;
margin: 1em 0 1em 2em;
padding: 0.2em 2em;
}
aside > dl,
aside > ol,
aside > ul,
aside > table,
aside > p {
margin-bottom: 0.5em;
}
/* Additional page break settings */
@media print {
figcaption, table caption {
page-break-before: avoid;
}
}
/* Font size adjustments for print */
@media print {
body { font-size: 10pt; line-height: normal; max-width: 96%; }
h1 { font-size: 1.72em; padding-top: 1.5em; } /* 1*1.2*1.2*1.2 */
h2 { font-size: 1.44em; padding-top: 1.5em; } /* 1*1.2*1.2 */
h3 { font-size: 1.2em; padding-top: 1.5em; } /* 1*1.2 */
h4 { font-size: 1em; padding-top: 1.5em; }
h5, h6 { font-size: 1em; margin: initial; padding: 0.5em 0 0.3em; }
}
/* Sourcecode margin in print, when there's no pilcrow */
@media print {
.artwork,
.sourcecode {
margin-bottom: 1em;
}
}
/*
The margin-left: 0 on <dd> removes all distinction
between levels from nested <dl>s. Undo that.
*/
dl.olPercent > dd,
dd {
margin-left: revert;
}
/* Avoid narrow tables forcing too narrow table captions, which may render badly */
table {
min-width: 20em;
}</style>
<link href="rfc-local.css" rel="stylesheet" type="text/css">
</head>
<body>
<script src="metadata.min.js"></script>
<table class="ears">
<thead><tr>
<td class="left">Internet-Draft</td>
<td class="center">FFV1</td>
<td class="right">January 2020</td>
</tr></thead>
<tfoot><tr>
<td class="left">Niedermayer, et al.</td>
<td class="center">Expires 30 July 2020</td>
<td class="right">[Page]</td>
</tr></tfoot>
</table>
<div id="external-metadata" class="document-information"></div>
<div id="internal-metadata" class="document-information">
<dl id="identifiers">
<dt class="label-workgroup">Workgroup:</dt>
<dd class="workgroup">cellar</dd>
<dt class="label-internet-draft">Internet-Draft:</dt>
<dd class="internet-draft">draft-ietf-cellar-ffv1-12</dd>
<dt class="label-published">Published:</dt>
<dd class="published">
<time datetime="2020-01-27" class="published">27 January 2020</time>
</dd>
<dt class="label-intended-status">Intended Status:</dt>
<dd class="intended-status">Informational</dd>
<dt class="label-expires">Expires:</dt>
<dd class="expires"><time datetime="2020-07-30">30 July 2020</time></dd>
<dt class="label-authors">Authors:</dt>
<dd class="authors">
<div class="author">
<div class="author-name">M. Niedermayer</div>
</div>
<div class="author">
<div class="author-name">D. Rice</div>
</div>
<div class="author">
<div class="author-name">J. Martinez</div>
</div>
</dd>
</dl>
</div>
<h1 id="title">FFV1 Video Coding Format Version 0, 1, and 3</h1>
<section id="section-abstract">
<h2 id="abstract"><a href="#abstract" class="selfRef">Abstract</a></h2>
<p id="section-abstract-1">This document defines FFV1, a lossless intra-frame video encoding format. FFV1 is designed to efficiently compress video data in a variety of pixel formats. Compared to uncompressed video, FFV1 offers storage compression, frame fixity, and self-description, which makes FFV1 useful as a preservation or intermediate video format.<a href="#section-abstract-1" class="pilcrow">¶</a></p>
</section>
<div id="status-of-memo">
<section id="section-boilerplate.1">
<h2 id="name-status-of-this-memo">
<a href="#name-status-of-this-memo" class="section-name selfRef">Status of This Memo</a>
</h2>
<p id="section-boilerplate.1-1">
This Internet-Draft is submitted in full conformance with the
provisions of BCP 78 and BCP 79.<a href="#section-boilerplate.1-1" class="pilcrow">¶</a></p>
<p id="section-boilerplate.1-2">
Internet-Drafts are working documents of the Internet Engineering Task
Force (IETF). Note that other groups may also distribute working
documents as Internet-Drafts. The list of current Internet-Drafts is
at <span><a href="https://datatracker.ietf.org/drafts/current/">https://datatracker.ietf.org/drafts/current/</a></span>.<a href="#section-boilerplate.1-2" class="pilcrow">¶</a></p>
<p id="section-boilerplate.1-3">
Internet-Drafts are draft documents valid for a maximum of six months
and may be updated, replaced, or obsoleted by other documents at any
time. It is inappropriate to use Internet-Drafts as reference
material or to cite them other than as "work in progress."<a href="#section-boilerplate.1-3" class="pilcrow">¶</a></p>
<p id="section-boilerplate.1-4">
This Internet-Draft will expire on 30 July 2020.<a href="#section-boilerplate.1-4" class="pilcrow">¶</a></p>
</section>
</div>
<div id="copyright">
<section id="section-boilerplate.2">
<h2 id="name-copyright-notice">
<a href="#name-copyright-notice" class="section-name selfRef">Copyright Notice</a>
</h2>
<p id="section-boilerplate.2-1">
Copyright (c) 2020 IETF Trust and the persons identified as the
document authors. All rights reserved.<a href="#section-boilerplate.2-1" class="pilcrow">¶</a></p>
<p id="section-boilerplate.2-2">
This document is subject to BCP 78 and the IETF Trust's Legal
Provisions Relating to IETF Documents
(<span><a href="https://trustee.ietf.org/license-info">https://trustee.ietf.org/license-info</a></span>) in effect on the date of
publication of this document. Please review these documents
carefully, as they describe your rights and restrictions with
respect to this document. Code Components extracted from this
document must include Simplified BSD License text as described in
Section 4.e of the Trust Legal Provisions and are provided without
warranty as described in the Simplified BSD License.<a href="#section-boilerplate.2-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="toc">
<section id="section-toc.1">
<a href="#" onclick="scroll(0,0)" class="toplink">▲</a><h2 id="name-table-of-contents">
<a href="#name-table-of-contents" class="section-name selfRef">Table of Contents</a>
</h2>
<nav class="toc"><ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.1">
<p id="section-toc.1-1.1.1"><a href="#section-1" class="xref">1</a>. <a href="#name-introduction" class="xref">Introduction</a><a href="#section-toc.1-1.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2">
<p id="section-toc.1-1.2.1"><a href="#section-2" class="xref">2</a>. <a href="#name-notation-and-conventions" class="xref">Notation and Conventions</a><a href="#section-toc.1-1.2.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.2.2.1">
<p id="section-toc.1-1.2.2.1.1"><a href="#section-2.1" class="xref">2.1</a>. <a href="#name-definitions" class="xref">Definitions</a><a href="#section-toc.1-1.2.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2">
<p id="section-toc.1-1.2.2.2.1"><a href="#section-2.2" class="xref">2.2</a>. <a href="#name-conventions" class="xref">Conventions</a><a href="#section-toc.1-1.2.2.2.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2.2.1">
<p id="section-toc.1-1.2.2.2.2.1.1"><a href="#section-2.2.1" class="xref">2.2.1</a>. <a href="#name-pseudo-code" class="xref">Pseudo-code</a><a href="#section-toc.1-1.2.2.2.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2.2.2">
<p id="section-toc.1-1.2.2.2.2.2.1"><a href="#section-2.2.2" class="xref">2.2.2</a>. <a href="#name-arithmetic-operators" class="xref">Arithmetic Operators</a><a href="#section-toc.1-1.2.2.2.2.2.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2.2.3">
<p id="section-toc.1-1.2.2.2.2.3.1"><a href="#section-2.2.3" class="xref">2.2.3</a>. <a href="#name-assignment-operators" class="xref">Assignment Operators</a><a href="#section-toc.1-1.2.2.2.2.3.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2.2.4">
<p id="section-toc.1-1.2.2.2.2.4.1"><a href="#section-2.2.4" class="xref">2.2.4</a>. <a href="#name-comparison-operators" class="xref">Comparison Operators</a><a href="#section-toc.1-1.2.2.2.2.4.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2.2.5">
<p id="section-toc.1-1.2.2.2.2.5.1"><a href="#section-2.2.5" class="xref">2.2.5</a>. <a href="#name-mathematical-functions" class="xref">Mathematical Functions</a><a href="#section-toc.1-1.2.2.2.2.5.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2.2.6">
<p id="section-toc.1-1.2.2.2.2.6.1"><a href="#section-2.2.6" class="xref">2.2.6</a>. <a href="#name-order-of-operation-preceden" class="xref">Order of Operation Precedence</a><a href="#section-toc.1-1.2.2.2.2.6.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2.2.7">
<p id="section-toc.1-1.2.2.2.2.7.1"><a href="#section-2.2.7" class="xref">2.2.7</a>. <a href="#name-range" class="xref">Range</a><a href="#section-toc.1-1.2.2.2.2.7.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2.2.8">
<p id="section-toc.1-1.2.2.2.2.8.1"><a href="#section-2.2.8" class="xref">2.2.8</a>. <a href="#name-numbytes" class="xref">NumBytes</a><a href="#section-toc.1-1.2.2.2.2.8.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.2.2.2.2.9">
<p id="section-toc.1-1.2.2.2.2.9.1"><a href="#section-2.2.9" class="xref">2.2.9</a>. <a href="#name-bitstream-functions" class="xref">Bitstream Functions</a><a href="#section-toc.1-1.2.2.2.2.9.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3">
<p id="section-toc.1-1.3.1"><a href="#section-3" class="xref">3</a>. <a href="#name-sample-coding" class="xref">Sample Coding</a><a href="#section-toc.1-1.3.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.3.2.1">
<p id="section-toc.1-1.3.2.1.1"><a href="#section-3.1" class="xref">3.1</a>. <a href="#name-border" class="xref">Border</a><a href="#section-toc.1-1.3.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3.2.2">
<p id="section-toc.1-1.3.2.2.1"><a href="#section-3.2" class="xref">3.2</a>. <a href="#name-samples" class="xref">Samples</a><a href="#section-toc.1-1.3.2.2.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3.2.3">
<p id="section-toc.1-1.3.2.3.1"><a href="#section-3.3" class="xref">3.3</a>. <a href="#name-median-predictor" class="xref">Median Predictor</a><a href="#section-toc.1-1.3.2.3.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3.2.4">
<p id="section-toc.1-1.3.2.4.1"><a href="#section-3.4" class="xref">3.4</a>. <a href="#name-context" class="xref">Context</a><a href="#section-toc.1-1.3.2.4.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3.2.5">
<p id="section-toc.1-1.3.2.5.1"><a href="#section-3.5" class="xref">3.5</a>. <a href="#name-quantization-table-sets" class="xref">Quantization Table Sets</a><a href="#section-toc.1-1.3.2.5.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3.2.6">
<p id="section-toc.1-1.3.2.6.1"><a href="#section-3.6" class="xref">3.6</a>. <a href="#name-quantization-table-set-inde" class="xref">Quantization Table Set Indexes</a><a href="#section-toc.1-1.3.2.6.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3.2.7">
<p id="section-toc.1-1.3.2.7.1"><a href="#section-3.7" class="xref">3.7</a>. <a href="#name-color-spaces" class="xref">Color spaces</a><a href="#section-toc.1-1.3.2.7.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.3.2.7.2.1">
<p id="section-toc.1-1.3.2.7.2.1.1"><a href="#section-3.7.1" class="xref">3.7.1</a>. <a href="#name-ycbcr" class="xref">YCbCr</a><a href="#section-toc.1-1.3.2.7.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3.2.7.2.2">
<p id="section-toc.1-1.3.2.7.2.2.1"><a href="#section-3.7.2" class="xref">3.7.2</a>. <a href="#name-rgb" class="xref">RGB</a><a href="#section-toc.1-1.3.2.7.2.2.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3.2.8">
<p id="section-toc.1-1.3.2.8.1"><a href="#section-3.8" class="xref">3.8</a>. <a href="#name-coding-of-the-sample-differ" class="xref">Coding of the Sample Difference</a><a href="#section-toc.1-1.3.2.8.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.3.2.8.2.1">
<p id="section-toc.1-1.3.2.8.2.1.1"><a href="#section-3.8.1" class="xref">3.8.1</a>. <a href="#name-range-coding-mode" class="xref">Range Coding Mode</a><a href="#section-toc.1-1.3.2.8.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.3.2.8.2.2">
<p id="section-toc.1-1.3.2.8.2.2.1"><a href="#section-3.8.2" class="xref">3.8.2</a>. <a href="#name-golomb-rice-mode" class="xref">Golomb Rice Mode</a><a href="#section-toc.1-1.3.2.8.2.2.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4">
<p id="section-toc.1-1.4.1"><a href="#section-4" class="xref">4</a>. <a href="#name-bitstream" class="xref">Bitstream</a><a href="#section-toc.1-1.4.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1">
<p id="section-toc.1-1.4.2.1.1"><a href="#section-4.1" class="xref">4.1</a>. <a href="#name-parameters" class="xref">Parameters</a><a href="#section-toc.1-1.4.2.1.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.1">
<p id="section-toc.1-1.4.2.1.2.1.1"><a href="#section-4.1.1" class="xref">4.1.1</a>. <a href="#name-version" class="xref">version</a><a href="#section-toc.1-1.4.2.1.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.2">
<p id="section-toc.1-1.4.2.1.2.2.1"><a href="#section-4.1.2" class="xref">4.1.2</a>. <a href="#name-micro_version" class="xref">micro_version</a><a href="#section-toc.1-1.4.2.1.2.2.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.3">
<p id="section-toc.1-1.4.2.1.2.3.1"><a href="#section-4.1.3" class="xref">4.1.3</a>. <a href="#name-coder_type" class="xref">coder_type</a><a href="#section-toc.1-1.4.2.1.2.3.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.4">
<p id="section-toc.1-1.4.2.1.2.4.1"><a href="#section-4.1.4" class="xref">4.1.4</a>. <a href="#name-state_transition_delta" class="xref">state_transition_delta</a><a href="#section-toc.1-1.4.2.1.2.4.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.5">
<p id="section-toc.1-1.4.2.1.2.5.1"><a href="#section-4.1.5" class="xref">4.1.5</a>. <a href="#name-colorspace_type" class="xref">colorspace_type</a><a href="#section-toc.1-1.4.2.1.2.5.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.6">
<p id="section-toc.1-1.4.2.1.2.6.1"><a href="#section-4.1.6" class="xref">4.1.6</a>. <a href="#name-chroma_planes" class="xref">chroma_planes</a><a href="#section-toc.1-1.4.2.1.2.6.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.7">
<p id="section-toc.1-1.4.2.1.2.7.1"><a href="#section-4.1.7" class="xref">4.1.7</a>. <a href="#name-bits_per_raw_sample" class="xref">bits_per_raw_sample</a><a href="#section-toc.1-1.4.2.1.2.7.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.8">
<p id="section-toc.1-1.4.2.1.2.8.1"><a href="#section-4.1.8" class="xref">4.1.8</a>. <a href="#name-log2_h_chroma_subsample" class="xref">log2_h_chroma_subsample</a><a href="#section-toc.1-1.4.2.1.2.8.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.9">
<p id="section-toc.1-1.4.2.1.2.9.1"><a href="#section-4.1.9" class="xref">4.1.9</a>. <a href="#name-log2_v_chroma_subsample" class="xref">log2_v_chroma_subsample</a><a href="#section-toc.1-1.4.2.1.2.9.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.10">
<p id="section-toc.1-1.4.2.1.2.10.1"><a href="#section-4.1.10" class="xref">4.1.10</a>. <a href="#name-extra_plane" class="xref">extra_plane</a><a href="#section-toc.1-1.4.2.1.2.10.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.11">
<p id="section-toc.1-1.4.2.1.2.11.1"><a href="#section-4.1.11" class="xref">4.1.11</a>. <a href="#name-num_h_slices" class="xref">num_h_slices</a><a href="#section-toc.1-1.4.2.1.2.11.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.12">
<p id="section-toc.1-1.4.2.1.2.12.1"><a href="#section-4.1.12" class="xref">4.1.12</a>. <a href="#name-num_v_slices" class="xref">num_v_slices</a><a href="#section-toc.1-1.4.2.1.2.12.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.13">
<p id="section-toc.1-1.4.2.1.2.13.1"><a href="#section-4.1.13" class="xref">4.1.13</a>. <a href="#name-quant_table_set_count" class="xref">quant_table_set_count</a><a href="#section-toc.1-1.4.2.1.2.13.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.14">
<p id="section-toc.1-1.4.2.1.2.14.1"><a href="#section-4.1.14" class="xref">4.1.14</a>. <a href="#name-states_coded" class="xref">states_coded</a><a href="#section-toc.1-1.4.2.1.2.14.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.15">
<p id="section-toc.1-1.4.2.1.2.15.1"><a href="#section-4.1.15" class="xref">4.1.15</a>. <a href="#name-initial_state_delta" class="xref">initial_state_delta</a><a href="#section-toc.1-1.4.2.1.2.15.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.16">
<p id="section-toc.1-1.4.2.1.2.16.1"><a href="#section-4.1.16" class="xref">4.1.16</a>. <a href="#name-ec" class="xref">ec</a><a href="#section-toc.1-1.4.2.1.2.16.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.1.2.17">
<p id="section-toc.1-1.4.2.1.2.17.1"><a href="#section-4.1.17" class="xref">4.1.17</a>. <a href="#name-intra" class="xref">intra</a><a href="#section-toc.1-1.4.2.1.2.17.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.2">
<p id="section-toc.1-1.4.2.2.1"><a href="#section-4.2" class="xref">4.2</a>. <a href="#name-configuration-record" class="xref">Configuration Record</a><a href="#section-toc.1-1.4.2.2.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.4.2.2.2.1">
<p id="section-toc.1-1.4.2.2.2.1.1"><a href="#section-4.2.1" class="xref">4.2.1</a>. <a href="#name-reserved_for_future_use" class="xref">reserved_for_future_use</a><a href="#section-toc.1-1.4.2.2.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.2.2.2">
<p id="section-toc.1-1.4.2.2.2.2.1"><a href="#section-4.2.2" class="xref">4.2.2</a>. <a href="#name-configuration_record_crc_pa" class="xref">configuration_record_crc_parity</a><a href="#section-toc.1-1.4.2.2.2.2.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.2.2.3">
<p id="section-toc.1-1.4.2.2.2.3.1"><a href="#section-4.2.3" class="xref">4.2.3</a>. <a href="#name-mapping-ffv1-into-container" class="xref">Mapping FFV1 into Containers</a><a href="#section-toc.1-1.4.2.2.2.3.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.3">
<p id="section-toc.1-1.4.2.3.1"><a href="#section-4.3" class="xref">4.3</a>. <a href="#name-frame" class="xref">Frame</a><a href="#section-toc.1-1.4.2.3.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.4">
<p id="section-toc.1-1.4.2.4.1"><a href="#section-4.4" class="xref">4.4</a>. <a href="#name-slice" class="xref">Slice</a><a href="#section-toc.1-1.4.2.4.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5">
<p id="section-toc.1-1.4.2.5.1"><a href="#section-4.5" class="xref">4.5</a>. <a href="#name-slice-header" class="xref">Slice Header</a><a href="#section-toc.1-1.4.2.5.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5.2.1">
<p id="section-toc.1-1.4.2.5.2.1.1"><a href="#section-4.5.1" class="xref">4.5.1</a>. <a href="#name-slice_x" class="xref">slice_x</a><a href="#section-toc.1-1.4.2.5.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5.2.2">
<p id="section-toc.1-1.4.2.5.2.2.1"><a href="#section-4.5.2" class="xref">4.5.2</a>. <a href="#name-slice_y" class="xref">slice_y</a><a href="#section-toc.1-1.4.2.5.2.2.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5.2.3">
<p id="section-toc.1-1.4.2.5.2.3.1"><a href="#section-4.5.3" class="xref">4.5.3</a>. <a href="#name-slice_width" class="xref">slice_width</a><a href="#section-toc.1-1.4.2.5.2.3.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5.2.4">
<p id="section-toc.1-1.4.2.5.2.4.1"><a href="#section-4.5.4" class="xref">4.5.4</a>. <a href="#name-slice_height" class="xref">slice_height</a><a href="#section-toc.1-1.4.2.5.2.4.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5.2.5">
<p id="section-toc.1-1.4.2.5.2.5.1"><a href="#section-4.5.5" class="xref">4.5.5</a>. <a href="#name-quant_table_set_index_count" class="xref">quant_table_set_index_count</a><a href="#section-toc.1-1.4.2.5.2.5.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5.2.6">
<p id="section-toc.1-1.4.2.5.2.6.1"><a href="#section-4.5.6" class="xref">4.5.6</a>. <a href="#name-quant_table_set_index" class="xref">quant_table_set_index</a><a href="#section-toc.1-1.4.2.5.2.6.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5.2.7">
<p id="section-toc.1-1.4.2.5.2.7.1"><a href="#section-4.5.7" class="xref">4.5.7</a>. <a href="#name-picture_structure" class="xref">picture_structure</a><a href="#section-toc.1-1.4.2.5.2.7.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5.2.8">
<p id="section-toc.1-1.4.2.5.2.8.1"><a href="#section-4.5.8" class="xref">4.5.8</a>. <a href="#name-sar_num" class="xref">sar_num</a><a href="#section-toc.1-1.4.2.5.2.8.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.5.2.9">
<p id="section-toc.1-1.4.2.5.2.9.1"><a href="#section-4.5.9" class="xref">4.5.9</a>. <a href="#name-sar_den" class="xref">sar_den</a><a href="#section-toc.1-1.4.2.5.2.9.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.6">
<p id="section-toc.1-1.4.2.6.1"><a href="#section-4.6" class="xref">4.6</a>. <a href="#name-slice-content" class="xref">Slice Content</a><a href="#section-toc.1-1.4.2.6.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.4.2.6.2.1">
<p id="section-toc.1-1.4.2.6.2.1.1"><a href="#section-4.6.1" class="xref">4.6.1</a>. <a href="#name-primary_color_count" class="xref">primary_color_count</a><a href="#section-toc.1-1.4.2.6.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.6.2.2">
<p id="section-toc.1-1.4.2.6.2.2.1"><a href="#section-4.6.2" class="xref">4.6.2</a>. <a href="#name-plane_pixel_height" class="xref">plane_pixel_height</a><a href="#section-toc.1-1.4.2.6.2.2.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.6.2.3">
<p id="section-toc.1-1.4.2.6.2.3.1"><a href="#section-4.6.3" class="xref">4.6.3</a>. <a href="#name-slice_pixel_height" class="xref">slice_pixel_height</a><a href="#section-toc.1-1.4.2.6.2.3.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.6.2.4">
<p id="section-toc.1-1.4.2.6.2.4.1"><a href="#section-4.6.4" class="xref">4.6.4</a>. <a href="#name-slice_pixel_y" class="xref">slice_pixel_y</a><a href="#section-toc.1-1.4.2.6.2.4.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.7">
<p id="section-toc.1-1.4.2.7.1"><a href="#section-4.7" class="xref">4.7</a>. <a href="#name-line" class="xref">Line</a><a href="#section-toc.1-1.4.2.7.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.4.2.7.2.1">
<p id="section-toc.1-1.4.2.7.2.1.1"><a href="#section-4.7.1" class="xref">4.7.1</a>. <a href="#name-plane_pixel_width" class="xref">plane_pixel_width</a><a href="#section-toc.1-1.4.2.7.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.7.2.2">
<p id="section-toc.1-1.4.2.7.2.2.1"><a href="#section-4.7.2" class="xref">4.7.2</a>. <a href="#name-slice_pixel_width" class="xref">slice_pixel_width</a><a href="#section-toc.1-1.4.2.7.2.2.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.7.2.3">
<p id="section-toc.1-1.4.2.7.2.3.1"><a href="#section-4.7.3" class="xref">4.7.3</a>. <a href="#name-slice_pixel_x" class="xref">slice_pixel_x</a><a href="#section-toc.1-1.4.2.7.2.3.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.7.2.4">
<p id="section-toc.1-1.4.2.7.2.4.1"><a href="#section-4.7.4" class="xref">4.7.4</a>. <a href="#name-sample_difference" class="xref">sample_difference</a><a href="#section-toc.1-1.4.2.7.2.4.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.8">
<p id="section-toc.1-1.4.2.8.1"><a href="#section-4.8" class="xref">4.8</a>. <a href="#name-slice-footer" class="xref">Slice Footer</a><a href="#section-toc.1-1.4.2.8.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.4.2.8.2.1">
<p id="section-toc.1-1.4.2.8.2.1.1"><a href="#section-4.8.1" class="xref">4.8.1</a>. <a href="#name-slice_size" class="xref">slice_size</a><a href="#section-toc.1-1.4.2.8.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.8.2.2">
<p id="section-toc.1-1.4.2.8.2.2.1"><a href="#section-4.8.2" class="xref">4.8.2</a>. <a href="#name-error_status" class="xref">error_status</a><a href="#section-toc.1-1.4.2.8.2.2.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.8.2.3">
<p id="section-toc.1-1.4.2.8.2.3.1"><a href="#section-4.8.3" class="xref">4.8.3</a>. <a href="#name-slice_crc_parity" class="xref">slice_crc_parity</a><a href="#section-toc.1-1.4.2.8.2.3.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.9">
<p id="section-toc.1-1.4.2.9.1"><a href="#section-4.9" class="xref">4.9</a>. <a href="#name-quantization-table-set" class="xref">Quantization Table Set</a><a href="#section-toc.1-1.4.2.9.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.4.2.9.2.1">
<p id="section-toc.1-1.4.2.9.2.1.1"><a href="#section-4.9.1" class="xref">4.9.1</a>. <a href="#name-quant_tables" class="xref">quant_tables</a><a href="#section-toc.1-1.4.2.9.2.1.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.4.2.9.2.2">
<p id="section-toc.1-1.4.2.9.2.2.1"><a href="#section-4.9.2" class="xref">4.9.2</a>. <a href="#name-context_count" class="xref">context_count</a><a href="#section-toc.1-1.4.2.9.2.2.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.5">
<p id="section-toc.1-1.5.1"><a href="#section-5" class="xref">5</a>. <a href="#name-restrictions" class="xref">Restrictions</a><a href="#section-toc.1-1.5.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.6">
<p id="section-toc.1-1.6.1"><a href="#section-6" class="xref">6</a>. <a href="#name-security-considerations" class="xref">Security Considerations</a><a href="#section-toc.1-1.6.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.7">
<p id="section-toc.1-1.7.1"><a href="#section-7" class="xref">7</a>. <a href="#name-media-type-definition" class="xref">Media Type Definition</a><a href="#section-toc.1-1.7.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.8">
<p id="section-toc.1-1.8.1"><a href="#section-8" class="xref">8</a>. <a href="#name-iana-considerations" class="xref">IANA Considerations</a><a href="#section-toc.1-1.8.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.9">
<p id="section-toc.1-1.9.1"><a href="#section-9" class="xref">9</a>. <a href="#name-appendixes" class="xref">Appendixes</a><a href="#section-toc.1-1.9.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.9.2.1">
<p id="section-toc.1-1.9.2.1.1"><a href="#section-9.1" class="xref">9.1</a>. <a href="#name-decoder-implementation-sugg" class="xref">Decoder implementation suggestions</a><a href="#section-toc.1-1.9.2.1.1" class="pilcrow">¶</a></p>
<ul class="toc ulEmpty">
<li class="toc ulEmpty" id="section-toc.1-1.9.2.1.2.1">
<p id="section-toc.1-1.9.2.1.2.1.1"><a href="#section-9.1.1" class="xref">9.1.1</a>. <a href="#name-multi-threading-support-and" class="xref">Multi-threading Support and Independence of Slices</a><a href="#section-toc.1-1.9.2.1.2.1.1" class="pilcrow">¶</a></p>
</li>
</ul>
</li>
</ul>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.10">
<p id="section-toc.1-1.10.1"><a href="#section-10" class="xref">10</a>. <a href="#name-changelog" class="xref">Changelog</a><a href="#section-toc.1-1.10.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.11">
<p id="section-toc.1-1.11.1"><a href="#section-11" class="xref">11</a>. <a href="#name-normative-references" class="xref">Normative References</a><a href="#section-toc.1-1.11.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.12">
<p id="section-toc.1-1.12.1"><a href="#section-12" class="xref">12</a>. <a href="#name-informative-references" class="xref">Informative References</a><a href="#section-toc.1-1.12.1" class="pilcrow">¶</a></p>
</li>
<li class="toc ulEmpty" id="section-toc.1-1.13">
<p id="section-toc.1-1.13.1"><a href="#section-appendix.a" class="xref"></a><a href="#name-authors-addresses" class="xref">Authors' Addresses</a><a href="#section-toc.1-1.13.1" class="pilcrow">¶</a></p>
</li>
</ul>
</nav>
</section>
</div>
<div id="introduction">
<section id="section-1">
<h2 id="name-introduction">
<a href="#section-1" class="section-number selfRef">1. </a><a href="#name-introduction" class="section-name selfRef">Introduction</a>
</h2>
<p id="section-1-1">This document describes FFV1, a lossless video encoding format. The design of FFV1 considers the storage of image characteristics, data fixity, and the optimized use of encoding time and storage requirements. FFV1 is designed to support a wide range of lossless video applications such as long-term audiovisual preservation, scientific imaging, screen recording, and other video encoding scenarios that seek to avoid the generational loss of lossy video encodings.<a href="#section-1-1" class="pilcrow">¶</a></p>
<p id="section-1-2">This document defines version 0, 1 and 3 of FFV1. The distinctions of the versions are provided throughout the document, but in summary:<a href="#section-1-2" class="pilcrow">¶</a></p>
<ul>
<li id="section-1-3.1">
<p id="section-1-3.1.1">Version 0 of FFV1 was the original implementation of FFV1 and has been in non-experimental use since April 14, 2006 <span>[<a href="#FFV1_V0" class="xref">FFV1_V0</a>]</span>.<a href="#section-1-3.1.1" class="pilcrow">¶</a></p>
</li>
<li id="section-1-3.2">
<p id="section-1-3.2.1">Version 1 of FFV1 adds support of more video bit depths and has been in use since April 24, 2009 <span>[<a href="#FFV1_V1" class="xref">FFV1_V1</a>]</span>.<a href="#section-1-3.2.1" class="pilcrow">¶</a></p>
</li>
<li id="section-1-3.3">
<p id="section-1-3.3.1">Version 2 of FFV1 only existed in experimental form and is not described by this document, but is available as a LyX file at <a href="https://github.com/FFmpeg/FFV1/blob/8ad772b6d61c3dd8b0171979a2cd9f11924d5532/ffv1.lyx">https://github.com/FFmpeg/FFV1/blob/8ad772b6d61c3dd8b0171979a2cd9f11924d5532/ffv1.lyx</a>.<a href="#section-1-3.3.1" class="pilcrow">¶</a></p>
</li>
<li id="section-1-3.4">
<p id="section-1-3.4.1">Version 3 of FFV1 adds several features such as increased description of the characteristics of the encoding images and embedded CRC data to support fixity verification of the encoding. Version 3 has been in non-experimental use since August 17, 2013 <span>[<a href="#FFV1_V3" class="xref">FFV1_V3</a>]</span>.<a href="#section-1-3.4.1" class="pilcrow">¶</a></p>
</li>
</ul>
<p id="section-1-4">This document assumes familiarity with mathematical and coding concepts such as Range coding <span>[<a href="#range-coding" class="xref">range-coding</a>]</span> and YCbCr color spaces <span>[<a href="#YCbCr" class="xref">YCbCr</a>]</span>.<a href="#section-1-4" class="pilcrow">¶</a></p>
</section>
</div>
<div id="notation-and-conventions">
<section id="section-2">
<h2 id="name-notation-and-conventions">
<a href="#section-2" class="section-number selfRef">2. </a><a href="#name-notation-and-conventions" class="section-name selfRef">Notation and Conventions</a>
</h2>
<p id="section-2-1">The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in BCP 14 <span>[<a href="#RFC2119" class="xref">RFC2119</a>]</span> <span>[<a href="#RFC8174" class="xref">RFC8174</a>]</span> when, and only when, they appear in all capitals, as shown here.<a href="#section-2-1" class="pilcrow">¶</a></p>
<div id="definitions">
<section id="section-2.1">
<h3 id="name-definitions">
<a href="#section-2.1" class="section-number selfRef">2.1. </a><a href="#name-definitions" class="section-name selfRef">Definitions</a>
</h3>
<p id="section-2.1-1"><code>Container</code>: Format that encapsulates <code>Frames</code> (see <a href="#frame" class="xref">Section 4.3</a>) and (when required) a <code>Configuration Record</code> into a bitstream.<a href="#section-2.1-1" class="pilcrow">¶</a></p>
<p id="section-2.1-2"><code>Sample</code>: The smallest addressable representation of a color component or a luma component in a <code>Frame</code>. Examples of <code>Sample</code> are Luma, Blue Chrominance, Red Chrominance, Transparency, Red, Green, and Blue.<a href="#section-2.1-2" class="pilcrow">¶</a></p>
<p id="section-2.1-3"><code>Plane</code>: A discrete component of a static image comprised of <code>Samples</code> that represent a specific quantification of <code>Samples</code> of that image.<a href="#section-2.1-3" class="pilcrow">¶</a></p>
<p id="section-2.1-4"><code>Pixel</code>: The smallest addressable representation of a color in a <code>Frame</code>. It is composed of 1 or more <code>Samples</code>.<a href="#section-2.1-4" class="pilcrow">¶</a></p>
<p id="section-2.1-5"><code>ESC</code>: An ESCape symbol to indicate that the symbol to be stored is too large for normal storage and that an alternate storage method is used.<a href="#section-2.1-5" class="pilcrow">¶</a></p>
<p id="section-2.1-6"><code>MSB</code>: Most Significant Bit, the bit that can cause the largest change in magnitude of the symbol.<a href="#section-2.1-6" class="pilcrow">¶</a></p>
<p id="section-2.1-7"><code>RCT</code>: Reversible Color Transform, a near linear, exactly reversible integer transform that converts between RGB and YCbCr representations of a <code>Pixel</code>.<a href="#section-2.1-7" class="pilcrow">¶</a></p>
<p id="section-2.1-8"><code>VLC</code>: Variable Length Code, a code that maps source symbols to a variable number of bits.<a href="#section-2.1-8" class="pilcrow">¶</a></p>
<p id="section-2.1-9"><code>RGB</code>: A reference to the method of storing the value of a <code>Pixel</code> by using three numeric values that represent Red, Green, and Blue.<a href="#section-2.1-9" class="pilcrow">¶</a></p>
<p id="section-2.1-10"><code>YCbCr</code>: A reference to the method of storing the value of a <code>Pixel</code> by using three numeric values that represent the luma of the <code>Pixel</code> (Y) and the chrominance of the <code>Pixel</code> (Cb and Cr). YCbCr word is used for historical reasons and currently references any color space relying on 1 luma <code>Sample</code> and 2 chrominance <code>Samples</code>, e.g. YCbCr, YCgCo or ICtCp. The exact meaning of the three numeric values is unspecified.<a href="#section-2.1-10" class="pilcrow">¶</a></p>
<p id="section-2.1-11"><code>TBA</code>: To Be Announced. Used in reference to the development of future iterations of the FFV1 specification.<a href="#section-2.1-11" class="pilcrow">¶</a></p>
</section>
</div>
<div id="conventions">
<section id="section-2.2">
<h3 id="name-conventions">
<a href="#section-2.2" class="section-number selfRef">2.2. </a><a href="#name-conventions" class="section-name selfRef">Conventions</a>
</h3>
<div id="pseudo-code">
<section id="section-2.2.1">
<h4 id="name-pseudo-code">
<a href="#section-2.2.1" class="section-number selfRef">2.2.1. </a><a href="#name-pseudo-code" class="section-name selfRef">Pseudo-code</a>
</h4>
<p id="section-2.2.1-1">The FFV1 bitstream is described in this document using pseudo-code. Note that the pseudo-code is used for clarity in order to illustrate the structure of FFV1 and not intended to specify any particular implementation. The pseudo-code used is based upon the C programming language <span>[<a href="#ISO.9899.1990" class="xref">ISO.9899.1990</a>]</span> and uses its <code>if/else</code>, <code>while</code> and <code>for</code> keywords as well as functions defined within this document.<a href="#section-2.2.1-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="arithmetic-operators">
<section id="section-2.2.2">
<h4 id="name-arithmetic-operators">
<a href="#section-2.2.2" class="section-number selfRef">2.2.2. </a><a href="#name-arithmetic-operators" class="section-name selfRef">Arithmetic Operators</a>
</h4>
<p id="section-2.2.2-1">Note: the operators and the order of precedence are the same as used in the C programming language <span>[<a href="#ISO.9899.2018" class="xref">ISO.9899.2018</a>]</span>.<a href="#section-2.2.2-1" class="pilcrow">¶</a></p>
<p id="section-2.2.2-2"><code>a + b</code> means a plus b.<a href="#section-2.2.2-2" class="pilcrow">¶</a></p>
<p id="section-2.2.2-3"><code>a - b</code> means a minus b.<a href="#section-2.2.2-3" class="pilcrow">¶</a></p>
<p id="section-2.2.2-4"><code>-a</code> means negation of a.<a href="#section-2.2.2-4" class="pilcrow">¶</a></p>
<p id="section-2.2.2-5"><code>a * b</code> means a multiplied by b.<a href="#section-2.2.2-5" class="pilcrow">¶</a></p>
<p id="section-2.2.2-6"><code>a / b</code> means a divided by b.<a href="#section-2.2.2-6" class="pilcrow">¶</a></p>
<p id="section-2.2.2-7"><code>a ^ b</code> means a raised to the b-th power.<a href="#section-2.2.2-7" class="pilcrow">¶</a></p>
<p id="section-2.2.2-8"><code>a & b</code> means bit-wise "and" of a and b.<a href="#section-2.2.2-8" class="pilcrow">¶</a></p>
<p id="section-2.2.2-9"><code>a | b</code> means bit-wise "or" of a and b.<a href="#section-2.2.2-9" class="pilcrow">¶</a></p>
<p id="section-2.2.2-10"><code>a >> b</code> means arithmetic right shift of two's complement integer representation of a by b binary digits.<a href="#section-2.2.2-10" class="pilcrow">¶</a></p>
<p id="section-2.2.2-11"><code>a << b</code> means arithmetic left shift of two's complement integer representation of a by b binary digits.<a href="#section-2.2.2-11" class="pilcrow">¶</a></p>
</section>
</div>
<div id="assignment-operators">
<section id="section-2.2.3">
<h4 id="name-assignment-operators">
<a href="#section-2.2.3" class="section-number selfRef">2.2.3. </a><a href="#name-assignment-operators" class="section-name selfRef">Assignment Operators</a>
</h4>
<p id="section-2.2.3-1"><code>a = b</code> means a is assigned b.<a href="#section-2.2.3-1" class="pilcrow">¶</a></p>
<p id="section-2.2.3-2"><code>a++</code> is equivalent to a is assigned a + 1.<a href="#section-2.2.3-2" class="pilcrow">¶</a></p>
<p id="section-2.2.3-3"><code>a--</code> is equivalent to a is assigned a - 1.<a href="#section-2.2.3-3" class="pilcrow">¶</a></p>
<p id="section-2.2.3-4"><code>a += b</code> is equivalent to a is assigned a + b.<a href="#section-2.2.3-4" class="pilcrow">¶</a></p>
<p id="section-2.2.3-5"><code>a -= b</code> is equivalent to a is assigned a - b.<a href="#section-2.2.3-5" class="pilcrow">¶</a></p>
<p id="section-2.2.3-6"><code>a *= b</code> is equivalent to a is assigned a * b.<a href="#section-2.2.3-6" class="pilcrow">¶</a></p>
</section>
</div>
<div id="comparison-operators">
<section id="section-2.2.4">
<h4 id="name-comparison-operators">
<a href="#section-2.2.4" class="section-number selfRef">2.2.4. </a><a href="#name-comparison-operators" class="section-name selfRef">Comparison Operators</a>
</h4>
<p id="section-2.2.4-1"><code>a > b</code> means a is greater than b.<a href="#section-2.2.4-1" class="pilcrow">¶</a></p>
<p id="section-2.2.4-2"><code>a >= b</code> means a is greater than or equal to b.<a href="#section-2.2.4-2" class="pilcrow">¶</a></p>
<p id="section-2.2.4-3"><code>a < b</code> means a is less than b.<a href="#section-2.2.4-3" class="pilcrow">¶</a></p>
<p id="section-2.2.4-4"><code>a <= b</code> means a is less than or equal b.<a href="#section-2.2.4-4" class="pilcrow">¶</a></p>
<p id="section-2.2.4-5"><code>a == b</code> means a is equal to b.<a href="#section-2.2.4-5" class="pilcrow">¶</a></p>
<p id="section-2.2.4-6"><code>a != b</code> means a is not equal to b.<a href="#section-2.2.4-6" class="pilcrow">¶</a></p>
<p id="section-2.2.4-7"><code>a && b</code> means Boolean logical "and" of a and b.<a href="#section-2.2.4-7" class="pilcrow">¶</a></p>
<p id="section-2.2.4-8"><code>a || b</code> means Boolean logical "or" of a and b.<a href="#section-2.2.4-8" class="pilcrow">¶</a></p>
<p id="section-2.2.4-9"><code>!a</code> means Boolean logical "not" of a.<a href="#section-2.2.4-9" class="pilcrow">¶</a></p>
<p id="section-2.2.4-10"><code>a ? b : c</code> if a is true, then b, otherwise c.<a href="#section-2.2.4-10" class="pilcrow">¶</a></p>
</section>
</div>
<div id="mathematical-functions">
<section id="section-2.2.5">
<h4 id="name-mathematical-functions">
<a href="#section-2.2.5" class="section-number selfRef">2.2.5. </a><a href="#name-mathematical-functions" class="section-name selfRef">Mathematical Functions</a>
</h4>
<p id="section-2.2.5-1">floor(a) the largest integer less than or equal to a<a href="#section-2.2.5-1" class="pilcrow">¶</a></p>
<p id="section-2.2.5-2">ceil(a) the smallest integer greater than or equal to a<a href="#section-2.2.5-2" class="pilcrow">¶</a></p>
<p id="section-2.2.5-3">sign(a) extracts the sign of a number, i.e. if a < 0 then -1, else if a > 0 then 1, else 0<a href="#section-2.2.5-3" class="pilcrow">¶</a></p>
<p id="section-2.2.5-4">abs(a) the absolute value of a, i.e. abs(a) = sign(a)*a<a href="#section-2.2.5-4" class="pilcrow">¶</a></p>
<p id="section-2.2.5-5">log2(a) the base-two logarithm of a<a href="#section-2.2.5-5" class="pilcrow">¶</a></p>
<p id="section-2.2.5-6">min(a,b) the smallest of two values a and b<a href="#section-2.2.5-6" class="pilcrow">¶</a></p>
<p id="section-2.2.5-7">max(a,b) the largest of two values a and b<a href="#section-2.2.5-7" class="pilcrow">¶</a></p>
<p id="section-2.2.5-8">median(a,b,c) the numerical middle value in a data set of a, b, and c, i.e. a+b+c-min(a,b,c)-max(a,b,c)<a href="#section-2.2.5-8" class="pilcrow">¶</a></p>
<p id="section-2.2.5-9">a<sub>b</sub> the b-th value of a sequence of a<a href="#section-2.2.5-9" class="pilcrow">¶</a></p>
<p id="section-2.2.5-10">a~b,c. the 'b,c'-th value of a sequence of a<a href="#section-2.2.5-10" class="pilcrow">¶</a></p>
</section>
</div>
<div id="order-of-operation-precedence">
<section id="section-2.2.6">
<h4 id="name-order-of-operation-preceden">
<a href="#section-2.2.6" class="section-number selfRef">2.2.6. </a><a href="#name-order-of-operation-preceden" class="section-name selfRef">Order of Operation Precedence</a>
</h4>
<p id="section-2.2.6-1">When order of precedence is not indicated explicitly by use of parentheses, operations are evaluated in the following order (from top to bottom, operations of same precedence being evaluated from left to right). This order of operations is based on the order of operations used in Standard C.<a href="#section-2.2.6-1" class="pilcrow">¶</a></p>
<div class="artwork art-text alignLeft art-ascii-art" id="section-2.2.6-2">
<pre>a++, a--
!a, -a
a ^ b
a * b, a / b, a % b
a + b, a - b
a << b, a >> b
a < b, a <= b, a > b, a >= b
a == b, a != b
a & b
a | b
a && b
a || b
a ? b : c
a = b, a += b, a -= b, a *= b
</pre><a href="#section-2.2.6-2" class="pilcrow">¶</a>
</div>
</section>
</div>
<div id="range">
<section id="section-2.2.7">
<h4 id="name-range">
<a href="#section-2.2.7" class="section-number selfRef">2.2.7. </a><a href="#name-range" class="section-name selfRef">Range</a>
</h4>
<p id="section-2.2.7-1"><code>a...b</code> means any value starting from a to b, inclusive.<a href="#section-2.2.7-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="numbytes">
<section id="section-2.2.8">
<h4 id="name-numbytes">
<a href="#section-2.2.8" class="section-number selfRef">2.2.8. </a><a href="#name-numbytes" class="section-name selfRef">NumBytes</a>
</h4>
<p id="section-2.2.8-1"><code>NumBytes</code> is a non-negative integer that expresses the size in 8-bit octets of a particular FFV1 <code>Configuration Record</code> or <code>Frame</code>. FFV1 relies on its <code>Container</code> to store the <code>NumBytes</code> values; see <a href="#mapping-ffv1-into-containers" class="xref">Section 4.2.3</a>.<a href="#section-2.2.8-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="bitstream-functions">
<section id="section-2.2.9">
<h4 id="name-bitstream-functions">
<a href="#section-2.2.9" class="section-number selfRef">2.2.9. </a><a href="#name-bitstream-functions" class="section-name selfRef">Bitstream Functions</a>
</h4>
<div id="remaining-bits-in-bitstream">
<section id="section-2.2.9.1">
<h5 id="name-remaining_bits_in_bitstream">
<a href="#section-2.2.9.1" class="section-number selfRef">2.2.9.1. </a><a href="#name-remaining_bits_in_bitstream" class="section-name selfRef">remaining_bits_in_bitstream</a>
</h5>
<p id="section-2.2.9.1-1"><code>remaining_bits_in_bitstream( )</code> means the count of remaining bits after the pointer in that <code>Configuration Record</code> or <code>Frame</code>. It is computed from the <code>NumBytes</code> value multiplied by 8 minus the count of bits of that <code>Configuration Record</code> or <code>Frame</code> already read by the bitstream parser.<a href="#section-2.2.9.1-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="remaining-symbols-in-syntax">
<section id="section-2.2.9.2">
<h5 id="name-remaining_symbols_in_syntax">
<a href="#section-2.2.9.2" class="section-number selfRef">2.2.9.2. </a><a href="#name-remaining_symbols_in_syntax" class="section-name selfRef">remaining_symbols_in_syntax</a>
</h5>
<p id="section-2.2.9.2-1"><code>remaining_symbols_in_syntax( )</code> is true as long as the RangeCoder has not consumed all the given input bytes.<a href="#section-2.2.9.2-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="byte-aligned">
<section id="section-2.2.9.3">
<h5 id="name-byte_aligned">
<a href="#section-2.2.9.3" class="section-number selfRef">2.2.9.3. </a><a href="#name-byte_aligned" class="section-name selfRef">byte_aligned</a>
</h5>
<p id="section-2.2.9.3-1"><code>byte_aligned( )</code> is true if <code>remaining_bits_in_bitstream( NumBytes )</code> is a multiple of 8, otherwise false.<a href="#section-2.2.9.3-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="get-bits">
<section id="section-2.2.9.4">
<h5 id="name-get_bits">
<a href="#section-2.2.9.4" class="section-number selfRef">2.2.9.4. </a><a href="#name-get_bits" class="section-name selfRef">get_bits</a>
</h5>
<p id="section-2.2.9.4-1"><code>get_bits( i )</code> is the action to read the next <code>i</code> bits in the bitstream, from most significant bit to least significant bit, and to return the corresponding value. The pointer is increased by <code>i</code>.<a href="#section-2.2.9.4-1" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
</section>
</div>
</section>
</div>
<div id="sample-coding">
<section id="section-3">
<h2 id="name-sample-coding">
<a href="#section-3" class="section-number selfRef">3. </a><a href="#name-sample-coding" class="section-name selfRef">Sample Coding</a>
</h2>
<p id="section-3-1">For each <code>Slice</code> (as described in <a href="#slice" class="xref">Section 4.4</a>) of a <code>Frame</code>, the <code>Planes</code>, <code>Lines</code>, and <code>Samples</code> are coded in an order determined by the <code>Color Space</code> (see <a href="#color-spaces" class="xref">Section 3.7</a>). Each <code>Sample</code> is predicted by the median predictor as described in <a href="#median-predictor" class="xref">Section 3.3</a> from other <code>Samples</code> within the same <code>Plane</code> and the difference is stored using the method described in <a href="#coding-of-the-sample-difference" class="xref">Section 3.8</a>.<a href="#section-3-1" class="pilcrow">¶</a></p>
<div id="border">
<section id="section-3.1">
<h3 id="name-border">
<a href="#section-3.1" class="section-number selfRef">3.1. </a><a href="#name-border" class="section-name selfRef">Border</a>
</h3>
<p id="section-3.1-1">A border is assumed for each coded <code>Slice</code> for the purpose of the median predictor and context according to the following rules:<a href="#section-3.1-1" class="pilcrow">¶</a></p>
<ul>
<li id="section-3.1-2.1">
<p id="section-3.1-2.1.1">one column of <code>Samples</code> to the left of the coded slice is assumed as identical to the <code>Samples</code> of the leftmost column of the coded slice shifted down by one row. The value of the topmost <code>Sample</code> of the column of <code>Samples</code> to the left of the coded slice is assumed to be <code>0</code><a href="#section-3.1-2.1.1" class="pilcrow">¶</a></p>
</li>
<li id="section-3.1-2.2">
<p id="section-3.1-2.2.1">one column of <code>Samples</code> to the right of the coded slice is assumed as identical to the <code>Samples</code> of the rightmost column of the coded slice<a href="#section-3.1-2.2.1" class="pilcrow">¶</a></p>
</li>
<li id="section-3.1-2.3">
<p id="section-3.1-2.3.1">an additional column of <code>Samples</code> to the left of the coded slice and two rows of <code>Samples</code> above the coded slice are assumed to be <code>0</code><a href="#section-3.1-2.3.1" class="pilcrow">¶</a></p>
</li>
</ul>
<p id="section-3.1-3"><a href="#figureAssumedBorder" class="xref">Figure 1</a> depicts a slice of 9 <code>Samples</code> <code>a,b,c,d,e,f,g,h,i</code> in a 3x3 arrangement along with its assumed border.<a href="#section-3.1-3" class="pilcrow">¶</a></p>
<span id="name-a-depiction-of-ffv1s-assume"></span><div id="figureAssumedBorder">
<figure id="figure-1">
<div class="artwork art-text alignLeft art-ascii-art" id="section-3.1-4.1">
<pre>+---+---+---+---+---+---+---+---+
| 0 | 0 | | 0 | 0 | 0 | | 0 |
+---+---+---+---+---+---+---+---+
| 0 | 0 | | 0 | 0 | 0 | | 0 |
+---+---+---+---+---+---+---+---+
| | | | | | | | |
+---+---+---+---+---+---+---+---+
| 0 | 0 | | a | b | c | | c |
+---+---+---+---+---+---+---+---+
| 0 | a | | d | e | f | | f |
+---+---+---+---+---+---+---+---+
| 0 | d | | g | h | i | | i |
+---+---+---+---+---+---+---+---+
</pre>
</div>
<figcaption><a href="#figure-1" class="selfRef">Figure 1</a>:
<a href="#name-a-depiction-of-ffv1s-assume" class="selfRef">A depiction of FFV1's assumed border for a set example Samples.</a>
</figcaption></figure>
</div>
</section>
</div>
<div id="samples">
<section id="section-3.2">
<h3 id="name-samples">
<a href="#section-3.2" class="section-number selfRef">3.2. </a><a href="#name-samples" class="section-name selfRef">Samples</a>
</h3>
<p id="section-3.2-1">Relative to any <code>Sample</code> <code>X</code>, six other relatively positioned <code>Samples</code> from the coded <code>Samples</code> and presumed border are identified according to the labels used in <a href="#figureRelativeSampleNames" class="xref">Figure 2</a>. The labels for these relatively positioned <code>Samples</code> are used within the median predictor and context.<a href="#section-3.2-1" class="pilcrow">¶</a></p>
<span id="name-a-depiction-of-how-relative"></span><div id="figureRelativeSampleNames">
<figure id="figure-2">
<div class="artwork art-text alignLeft art-ascii-art" id="section-3.2-2.1">
<pre>+---+---+---+---+
| | | T | |
+---+---+---+---+
| |tl | t |tr |
+---+---+---+---+
| L | l | X | |
+---+---+---+---+
</pre>
</div>
<figcaption><a href="#figure-2" class="selfRef">Figure 2</a>:
<a href="#name-a-depiction-of-how-relative" class="selfRef">A depiction of how relatively positions Samples are references within this document.</a>
</figcaption></figure>
</div>
<p id="section-3.2-3">The labels for these relative <code>Samples</code> are made of the first letters of the words Top, Left and Right.<a href="#section-3.2-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="median-predictor">
<section id="section-3.3">
<h3 id="name-median-predictor">
<a href="#section-3.3" class="section-number selfRef">3.3. </a><a href="#name-median-predictor" class="section-name selfRef">Median Predictor</a>
</h3>
<p id="section-3.3-1">The prediction for any <code>Sample</code> value at position <code>X</code> may be computed based upon the relative neighboring values of <code>l</code>, <code>t</code>, and <code>tl</code> via this equation:<a href="#section-3.3-1" class="pilcrow">¶</a></p>
<p id="section-3.3-2"><code>median(l, t, l + t - tl)</code>.<a href="#section-3.3-2" class="pilcrow">¶</a></p>
<p id="section-3.3-3">Note, this prediction template is also used in <span>[<a href="#ISO.14495-1.1999" class="xref">ISO.14495-1.1999</a>]</span> and <span>[<a href="#HuffYUV" class="xref">HuffYUV</a>]</span>.<a href="#section-3.3-3" class="pilcrow">¶</a></p>
<p id="section-3.3-4">Exception for the median predictor:
if <code>colorspace_type == 0 && bits_per_raw_sample == 16 && ( coder_type == 1 || coder_type == 2 )</code>, the following median predictor MUST be used:<a href="#section-3.3-4" class="pilcrow">¶</a></p>
<p id="section-3.3-5">
<code>median(left16s, top16s, left16s + top16s - diag16s)</code><a href="#section-3.3-5" class="pilcrow">¶</a></p>
<p id="section-3.3-6">where:<a href="#section-3.3-6" class="pilcrow">¶</a></p>
<div class="artwork art-text alignLeft art-ascii-art" id="section-3.3-7">
<pre>left16s = l >= 32768 ? ( l - 65536 ) : l
top16s = t >= 32768 ? ( t - 65536 ) : t
diag16s = tl >= 32768 ? ( tl - 65536 ) : tl
</pre><a href="#section-3.3-7" class="pilcrow">¶</a>
</div>
<p id="section-3.3-8">Background: a two's complement signed 16-bit signed integer was used for storing <code>Sample</code> values in all known implementations of FFV1 bitstream. So in some circumstances, the most significant bit was wrongly interpreted (used as a sign bit instead of the 16th bit of an unsigned integer). Note that when the issue is discovered, the only configuration of all known implementations being impacted is 16-bit YCbCr with no Pixel transformation with Range Coder coder, as other potentially impacted configurations (e.g. 15/16-bit JPEG2000-RCT with Range Coder coder, or 16-bit content with Golomb Rice coder) were implemented nowhere <span>[<a href="#ISO.15444-1.2016" class="xref">ISO.15444-1.2016</a>]</span>. In the meanwhile, 16-bit JPEG2000-RCT with Range Coder coder was implemented without this issue in one implementation and validated by one conformance checker. It is expected (to be confirmed) to remove this exception for the median predictor in the next version of the FFV1 bitstream.<a href="#section-3.3-8" class="pilcrow">¶</a></p>
</section>
</div>
<div id="context">
<section id="section-3.4">
<h3 id="name-context">
<a href="#section-3.4" class="section-number selfRef">3.4. </a><a href="#name-context" class="section-name selfRef">Context</a>
</h3>
<p id="section-3.4-1">Relative to any <code>Sample</code> <code>X</code>, the Quantized Sample Differences <code>L-l</code>, <code>l-tl</code>, <code>tl-t</code>, <code>T-t</code>, and <code>t-tr</code> are used as context:<a href="#section-3.4-1" class="pilcrow">¶</a></p>
<figure id="figure-3">
<div id="section-3.4-2.1">
<div class="artwork art-svg alignLeft" id="section-3.4-2.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="349pt" height="13pt" viewBox="0 0 349 13" version="1.1">
<defs>
<g>
<g id="context.svg-glyph0-0">
<path d=""></path>
</g>
<g id="context.svg-glyph0-1">
<path d="M 5 -1.296875 C 5 -1.375 4.921875 -1.4375 4.875 -1.4375 C 4.84375 -1.4375 4.828125 -1.421875 4.71875 -1.3125 C 3.953125 -0.296875 2.828125 -0.125 2.359375 -0.125 C 1.546875 -0.125 1.28125 -0.84375 1.28125 -1.4375 C 1.28125 -1.859375 1.484375 -3.015625 1.90625 -3.828125 C 2.21875 -4.390625 2.875 -5.03125 3.625 -5.03125 C 3.78125 -5.03125 4.4375 -5.015625 4.671875 -4.5 C 4.453125 -4.5 4.34375 -4.5 4.171875 -4.34375 C 4.09375 -4.296875 3.96875 -4.109375 3.96875 -3.921875 C 3.96875 -3.6875 4.140625 -3.53125 4.375 -3.53125 C 4.65625 -3.53125 4.984375 -3.78125 4.984375 -4.25 C 4.984375 -4.828125 4.4375 -5.265625 3.609375 -5.265625 C 2.046875 -5.265625 0.484375 -3.5625 0.484375 -1.859375 C 0.484375 -0.828125 1.125 0.125 2.34375 0.125 C 3.96875 0.125 5 -1.140625 5 -1.296875 Z M 5 -1.296875 "></path>
</g>
<g id="context.svg-glyph0-2">
<path d="M 5.453125 -3.28125 C 5.453125 -4.421875 4.703125 -5.265625 3.625 -5.265625 C 2.046875 -5.265625 0.484375 -3.546875 0.484375 -1.859375 C 0.484375 -0.734375 1.234375 0.125 2.3125 0.125 C 3.90625 0.125 5.453125 -1.609375 5.453125 -3.28125 Z M 4.65625 -3.71875 C 4.65625 -3.234375 4.40625 -1.953125 3.9375 -1.234375 C 3.453125 -0.4375 2.796875 -0.125 2.328125 -0.125 C 1.734375 -0.125 1.296875 -0.59375 1.296875 -1.4375 C 1.296875 -1.984375 1.578125 -3.203125 1.90625 -3.796875 C 2.453125 -4.71875 3.125 -5.03125 3.609375 -5.03125 C 4.203125 -5.03125 4.65625 -4.546875 4.65625 -3.71875 Z M 4.65625 -3.71875 "></path>
</g>
<g id="context.svg-glyph0-3">
<path d="M 6.640625 -1.703125 C 6.640625 -1.765625 6.59375 -1.8125 6.515625 -1.8125 C 6.40625 -1.8125 6.390625 -1.78125 6.328125 -1.578125 C 6.0625 -0.59375 5.609375 -0.125 5.140625 -0.125 C 5.015625 -0.125 4.828125 -0.125 4.828125 -0.515625 C 4.828125 -0.8125 4.953125 -1.171875 5.03125 -1.34375 C 5.265625 -2 5.765625 -3.328125 5.765625 -4.015625 C 5.765625 -4.734375 5.359375 -5.265625 4.453125 -5.265625 C 3.375 -5.265625 2.828125 -4.515625 2.609375 -4.21875 C 2.5625 -4.90625 2.078125 -5.265625 1.546875 -5.265625 C 1.171875 -5.265625 0.90625 -5.046875 0.703125 -4.640625 C 0.484375 -4.203125 0.328125 -3.484375 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.828125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.796875 -5.03125 1.890625 -4.84375 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.515625 0.046875 1.609375 -0.125 C 1.640625 -0.1875 1.75 -0.609375 1.8125 -0.84375 L 2.0625 -1.921875 L 2.46875 -3.5 C 2.484375 -3.578125 2.78125 -4.171875 3.234375 -4.546875 C 3.53125 -4.84375 3.9375 -5.03125 4.40625 -5.03125 C 4.890625 -5.03125 5.0625 -4.671875 5.0625 -4.203125 C 5.0625 -3.515625 4.5625 -2.15625 4.328125 -1.5 C 4.21875 -1.21875 4.15625 -1.0625 4.15625 -0.84375 C 4.15625 -0.3125 4.53125 0.125 5.109375 0.125 C 6.21875 0.125 6.640625 -1.640625 6.640625 -1.703125 Z M 6.640625 -1.703125 "></path>
</g>
<g id="context.svg-glyph0-4">
<path d="M 3.640625 -1.703125 C 3.640625 -1.78125 3.578125 -1.8125 3.515625 -1.8125 C 3.515625 -1.8125 3.4375 -1.8125 3.421875 -1.765625 C 3.421875 -1.765625 3.390625 -1.75 3.3125 -1.546875 C 3.0625 -0.953125 2.515625 -0.125 1.8125 -0.125 C 1.453125 -0.125 1.4375 -0.421875 1.4375 -0.6875 C 1.4375 -0.6875 1.4375 -0.921875 1.46875 -1.0625 L 2.40625 -4.8125 L 3.5 -4.8125 C 3.734375 -4.8125 3.84375 -4.8125 3.84375 -5.015625 C 3.84375 -5.15625 3.78125 -5.15625 3.53125 -5.15625 L 2.484375 -5.15625 L 2.921875 -6.890625 C 2.96875 -7.0625 2.96875 -7.09375 2.96875 -7.171875 C 2.96875 -7.359375 2.828125 -7.46875 2.671875 -7.46875 C 2.5625 -7.46875 2.296875 -7.4375 2.203125 -7.046875 L 1.734375 -5.15625 L 0.609375 -5.15625 C 0.375 -5.15625 0.265625 -5.15625 0.265625 -4.921875 C 0.265625 -4.8125 0.34375 -4.8125 0.578125 -4.8125 L 1.640625 -4.8125 L 0.84375 -1.65625 C 0.75 -1.234375 0.71875 -1.109375 0.71875 -0.953125 C 0.71875 -0.390625 1.109375 0.125 1.78125 0.125 C 2.984375 0.125 3.640625 -1.625 3.640625 -1.703125 Z M 3.640625 -1.703125 "></path>
</g>
<g id="context.svg-glyph0-5">
<path d="M 5 -1.296875 C 5 -1.375 4.921875 -1.4375 4.875 -1.4375 C 4.84375 -1.4375 4.828125 -1.421875 4.71875 -1.3125 C 3.953125 -0.296875 2.828125 -0.125 2.359375 -0.125 C 1.6875 -0.125 1.328125 -0.65625 1.328125 -1.546875 C 1.328125 -1.703125 1.328125 -2.015625 1.5 -2.765625 L 2.140625 -2.765625 C 2.46875 -2.765625 3.28125 -2.796875 3.84375 -3.015625 C 4.75 -3.359375 4.84375 -4.046875 4.84375 -4.265625 C 4.84375 -4.796875 4.390625 -5.265625 3.59375 -5.265625 C 2.34375 -5.265625 0.53125 -4.140625 0.53125 -2.015625 C 0.53125 -0.75 1.25 0.125 2.34375 0.125 C 3.96875 0.125 5 -1.140625 5 -1.296875 Z M 4.484375 -4.265625 C 4.484375 -3.015625 2.5625 -3.015625 2.0625 -3.015625 L 1.5625 -3.015625 C 2.078125 -4.859375 3.21875 -5.03125 3.59375 -5.03125 C 4.125 -5.03125 4.484375 -4.71875 4.484375 -4.265625 Z M 4.484375 -4.265625 "></path>
</g>
<g id="context.svg-glyph0-6">
<path d="M 5.734375 -1.703125 C 5.734375 -1.765625 5.6875 -1.8125 5.625 -1.8125 C 5.515625 -1.8125 5.5 -1.75 5.46875 -1.65625 C 5.140625 -0.609375 4.453125 -0.125 3.90625 -0.125 C 3.484375 -0.125 3.265625 -0.4375 3.265625 -0.921875 C 3.265625 -1.1875 3.3125 -1.375 3.5 -2.15625 L 3.921875 -3.796875 C 4.09375 -4.5 4.5 -5.03125 5.0625 -5.03125 C 5.0625 -5.03125 5.421875 -5.03125 5.671875 -4.875 C 5.28125 -4.8125 5.140625 -4.515625 5.140625 -4.296875 C 5.140625 -4 5.359375 -3.90625 5.53125 -3.90625 C 5.890625 -3.90625 6.140625 -4.21875 6.140625 -4.546875 C 6.140625 -5.046875 5.5625 -5.265625 5.0625 -5.265625 C 4.34375 -5.265625 3.9375 -4.546875 3.828125 -4.328125 C 3.546875 -5.21875 2.8125 -5.265625 2.59375 -5.265625 C 1.375 -5.265625 0.734375 -3.703125 0.734375 -3.4375 C 0.734375 -3.390625 0.78125 -3.328125 0.859375 -3.328125 C 0.953125 -3.328125 0.984375 -3.40625 1 -3.453125 C 1.40625 -4.78125 2.21875 -5.03125 2.5625 -5.03125 C 3.09375 -5.03125 3.203125 -4.53125 3.203125 -4.25 C 3.203125 -3.984375 3.125 -3.703125 2.984375 -3.125 L 2.578125 -1.5 C 2.40625 -0.78125 2.0625 -0.125 1.421875 -0.125 C 1.359375 -0.125 1.0625 -0.125 0.8125 -0.28125 C 1.25 -0.359375 1.34375 -0.71875 1.34375 -0.859375 C 1.34375 -1.09375 1.15625 -1.25 0.9375 -1.25 C 0.640625 -1.25 0.328125 -0.984375 0.328125 -0.609375 C 0.328125 -0.109375 0.890625 0.125 1.40625 0.125 C 1.984375 0.125 2.390625 -0.328125 2.640625 -0.828125 C 2.828125 -0.125 3.4375 0.125 3.875 0.125 C 5.09375 0.125 5.734375 -1.453125 5.734375 -1.703125 Z M 5.734375 -1.703125 "></path>
</g>
<g id="context.svg-glyph0-7">
<path d="M 7.5625 0.015625 C 7.5625 -0.0625 7.515625 -0.109375 7.453125 -0.109375 C 7.390625 -0.109375 7.359375 -0.046875 7.328125 0.078125 C 7.0625 0.84375 6.4375 1.265625 5.921875 1.265625 C 5.3125 1.265625 5.15625 0.84375 5.09375 -0.078125 C 7.140625 -0.890625 8.671875 -3.078125 8.671875 -5.234375 C 8.671875 -7.203125 7.390625 -8.421875 5.71875 -8.421875 C 3.15625 -8.421875 0.578125 -5.671875 0.578125 -2.90625 C 0.578125 -1.03125 1.8125 0.25 3.546875 0.25 C 3.953125 0.25 4.34375 0.1875 4.734375 0.078125 C 4.65625 0.78125 4.65625 0.84375 4.65625 1.078125 C 4.65625 1.421875 4.65625 2.3125 5.625 2.3125 C 7.046875 2.3125 7.5625 0.078125 7.5625 0.015625 Z M 7.71875 -5.59375 C 7.71875 -4.703125 7.296875 -1.75 5.0625 -0.4375 C 5 -1.046875 4.828125 -1.75 4.046875 -1.75 C 3.390625 -1.75 2.84375 -1.109375 2.84375 -0.53125 C 2.84375 -0.390625 2.890625 -0.21875 2.9375 -0.125 C 2 -0.453125 1.546875 -1.453125 1.546875 -2.546875 C 1.546875 -3.375 1.859375 -4.96875 2.640625 -6.1875 C 3.53125 -7.546875 4.703125 -8.15625 5.640625 -8.15625 C 6.890625 -8.15625 7.71875 -7.140625 7.71875 -5.59375 Z M 4.75 -0.28125 C 4.328125 -0.078125 3.953125 -0.015625 3.625 -0.015625 C 3.5 -0.015625 3.078125 -0.015625 3.078125 -0.53125 C 3.078125 -0.96875 3.5 -1.515625 4.046875 -1.515625 C 4.640625 -1.515625 4.765625 -1.109375 4.765625 -0.515625 C 4.765625 -0.4375 4.765625 -0.34375 4.75 -0.28125 Z M 4.75 -0.28125 "></path>
</g>
<g id="context.svg-glyph0-8">
<path d="M 2.828125 -1.703125 C 2.828125 -1.765625 2.765625 -1.8125 2.703125 -1.8125 C 2.59375 -1.8125 2.578125 -1.75 2.53125 -1.578125 C 2.3125 -0.75 2.109375 -0.125 1.625 -0.125 C 1.265625 -0.125 1.265625 -0.5 1.265625 -0.671875 C 1.265625 -0.71875 1.265625 -0.96875 1.34375 -1.296875 L 3.03125 -8 C 3.046875 -8.046875 3.078125 -8.109375 3.078125 -8.171875 C 3.078125 -8.296875 2.921875 -8.296875 2.921875 -8.296875 L 2.265625 -8.234375 C 2.0625 -8.21875 1.890625 -8.203125 1.671875 -8.1875 C 1.390625 -8.15625 1.296875 -8.15625 1.296875 -7.9375 C 1.296875 -7.8125 1.421875 -7.8125 1.546875 -7.8125 C 2.15625 -7.8125 2.15625 -7.703125 2.15625 -7.59375 C 2.15625 -7.546875 2.15625 -7.515625 2.09375 -7.296875 L 0.609375 -1.375 C 0.578125 -1.25 0.546875 -1.140625 0.546875 -0.953125 C 0.546875 -0.359375 0.984375 0.125 1.609375 0.125 C 2 0.125 2.265625 -0.140625 2.453125 -0.515625 C 2.65625 -0.90625 2.828125 -1.65625 2.828125 -1.703125 Z M 2.828125 -1.703125 "></path>
</g>
<g id="context.svg-glyph0-9">
<path d="M 5.09375 -4.546875 C 5.09375 -4.9375 4.71875 -5.265625 4.125 -5.265625 C 3.640625 -5.265625 3.09375 -5.0625 2.59375 -4.328125 C 2.515625 -4.953125 2.03125 -5.265625 1.546875 -5.265625 C 1.09375 -5.265625 0.84375 -4.90625 0.703125 -4.65625 C 0.5 -4.21875 0.328125 -3.5 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.8125 -5.03125 1.890625 -4.828125 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.5625 0.03125 1.640625 -0.203125 C 1.671875 -0.296875 2.109375 -2.109375 2.1875 -2.375 C 2.25 -2.640625 2.3125 -2.890625 2.375 -3.15625 L 2.515625 -3.671875 C 2.546875 -3.78125 2.875 -4.359375 3.171875 -4.625 C 3.3125 -4.75 3.625 -5.03125 4.109375 -5.03125 C 4.296875 -5.03125 4.5 -5 4.65625 -4.890625 C 4.28125 -4.8125 4.09375 -4.546875 4.09375 -4.296875 C 4.09375 -4 4.3125 -3.90625 4.484375 -3.90625 C 4.8125 -3.90625 5.09375 -4.203125 5.09375 -4.546875 Z M 5.09375 -4.546875 "></path>
</g>
<g id="context.svg-glyph0-10">
<path d="M 7.546875 -2.9375 C 7.546875 -3.015625 7.484375 -3.0625 7.421875 -3.0625 C 7.421875 -3.0625 7.34375 -3.0625 7.328125 -3.015625 C 7.296875 -3 7.296875 -2.96875 7.203125 -2.75 C 6.828125 -1.703125 6.28125 -0.34375 4.265625 -0.34375 L 3.125 -0.34375 C 2.953125 -0.34375 2.921875 -0.34375 2.859375 -0.359375 C 2.71875 -0.375 2.71875 -0.390625 2.71875 -0.484375 C 2.71875 -0.578125 2.734375 -0.640625 2.765625 -0.75 L 4.390625 -7.25 C 4.5 -7.703125 4.53125 -7.8125 5.578125 -7.8125 C 5.90625 -7.8125 5.984375 -7.8125 5.984375 -8.046875 C 5.984375 -8.15625 5.859375 -8.15625 5.8125 -8.15625 C 5.5625 -8.15625 5.296875 -8.140625 5.0625 -8.140625 L 3.453125 -8.140625 C 3.234375 -8.140625 2.96875 -8.15625 2.734375 -8.15625 C 2.640625 -8.15625 2.515625 -8.15625 2.515625 -7.9375 C 2.515625 -7.8125 2.625 -7.8125 2.796875 -7.8125 C 3.53125 -7.8125 3.53125 -7.71875 3.53125 -7.59375 C 3.53125 -7.59375 3.53125 -7.5 3.484375 -7.3125 L 1.859375 -0.890625 C 1.75 -0.46875 1.734375 -0.34375 0.890625 -0.34375 C 0.671875 -0.34375 0.546875 -0.34375 0.546875 -0.125 C 0.546875 0 0.625 0 0.859375 0 L 6.21875 0 C 6.484375 0 6.484375 -0.015625 6.578125 -0.234375 L 7.5 -2.765625 C 7.515625 -2.828125 7.546875 -2.90625 7.546875 -2.9375 Z M 7.546875 -2.9375 "></path>
</g>
<g id="context.svg-glyph0-11">
<path d="M 7.90625 -5.6875 L 8.25 -7.8125 C 8.265625 -7.90625 8.265625 -7.9375 8.265625 -7.96875 C 8.265625 -8.109375 8.203125 -8.109375 7.953125 -8.109375 L 1.421875 -8.109375 C 1.140625 -8.109375 1.140625 -8.09375 1.0625 -7.875 L 0.328125 -5.71875 C 0.328125 -5.703125 0.28125 -5.5625 0.28125 -5.5625 C 0.28125 -5.5 0.328125 -5.4375 0.40625 -5.4375 C 0.5 -5.4375 0.53125 -5.484375 0.578125 -5.640625 C 1.078125 -7.09375 1.328125 -7.75 2.921875 -7.75 L 3.71875 -7.75 C 4 -7.75 4.125 -7.75 4.125 -7.625 C 4.125 -7.59375 4.125 -7.5625 4.0625 -7.34375 L 2.46875 -0.9375 C 2.34375 -0.46875 2.3125 -0.34375 1.046875 -0.34375 C 0.75 -0.34375 0.671875 -0.34375 0.671875 -0.125 C 0.671875 0 0.796875 0 0.859375 0 C 1.15625 0 1.46875 -0.03125 1.765625 -0.03125 L 3.640625 -0.03125 C 3.9375 -0.03125 4.25 0 4.546875 0 C 4.6875 0 4.8125 0 4.8125 -0.234375 C 4.8125 -0.34375 4.71875 -0.34375 4.40625 -0.34375 C 3.328125 -0.34375 3.328125 -0.453125 3.328125 -0.640625 C 3.328125 -0.640625 3.328125 -0.734375 3.375 -0.921875 L 4.984375 -7.296875 C 5.0625 -7.578125 5.078125 -7.6875 5.265625 -7.734375 C 5.359375 -7.75 5.75 -7.75 6 -7.75 C 7.203125 -7.75 7.75 -7.703125 7.75 -6.78125 C 7.75 -6.59375 7.703125 -6.140625 7.640625 -5.703125 L 7.625 -5.5625 C 7.625 -5.515625 7.671875 -5.4375 7.75 -5.4375 C 7.859375 -5.4375 7.859375 -5.5 7.90625 -5.6875 Z M 7.90625 -5.6875 "></path>
</g>
<g id="context.svg-glyph1-0">
<path d=""></path>
</g>
<g id="context.svg-glyph1-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="context.svg-glyph1-2">
<path d="M 2.984375 2.984375 L 2.984375 2.546875 L 1.828125 2.546875 L 1.828125 -8.515625 L 2.984375 -8.515625 L 2.984375 -8.96875 L 1.390625 -8.96875 L 1.390625 2.984375 Z M 2.984375 2.984375 "></path>
</g>
<g id="context.svg-glyph1-3">
<path d="M 1.859375 2.984375 L 1.859375 -8.96875 L 0.25 -8.96875 L 0.25 -8.515625 L 1.40625 -8.515625 L 1.40625 2.546875 L 0.25 2.546875 L 0.25 2.984375 Z M 1.859375 2.984375 "></path>
</g>
<g id="context.svg-glyph1-4">
<path d="M 8.453125 -2.96875 C 8.453125 -3.203125 8.25 -3.203125 8.0625 -3.203125 L 4.765625 -3.203125 L 4.765625 -6.5 C 4.765625 -6.671875 4.765625 -6.890625 4.546875 -6.890625 C 4.328125 -6.890625 4.328125 -6.6875 4.328125 -6.5 L 4.328125 -3.203125 L 1.03125 -3.203125 C 0.859375 -3.203125 0.640625 -3.203125 0.640625 -2.984375 C 0.640625 -2.765625 0.84375 -2.765625 1.03125 -2.765625 L 4.328125 -2.765625 L 4.328125 0.53125 C 4.328125 0.703125 4.328125 0.921875 4.546875 0.921875 C 4.765625 0.921875 4.765625 0.71875 4.765625 0.53125 L 4.765625 -2.765625 L 8.0625 -2.765625 C 8.234375 -2.765625 8.453125 -2.765625 8.453125 -2.96875 Z M 8.453125 -2.96875 "></path>
</g>
<g id="context.svg-glyph2-0">
<path d=""></path>
</g>
<g id="context.svg-glyph2-1">
<path d="M 3.890625 -2.546875 C 3.890625 -3.390625 3.8125 -3.90625 3.546875 -4.421875 C 3.203125 -5.125 2.546875 -5.296875 2.109375 -5.296875 C 1.109375 -5.296875 0.734375 -4.546875 0.625 -4.328125 C 0.34375 -3.75 0.328125 -2.953125 0.328125 -2.546875 C 0.328125 -2.015625 0.34375 -1.21875 0.734375 -0.578125 C 1.09375 0.015625 1.6875 0.171875 2.109375 0.171875 C 2.5 0.171875 3.171875 0.046875 3.578125 -0.734375 C 3.875 -1.3125 3.890625 -2.03125 3.890625 -2.546875 Z M 3.1875 -2.640625 C 3.1875 -2.171875 3.1875 -1.453125 3.09375 -1 C 2.921875 -0.171875 2.375 -0.0625 2.109375 -0.0625 C 1.84375 -0.0625 1.296875 -0.1875 1.125 -1.015625 C 1.03125 -1.46875 1.03125 -2.21875 1.03125 -2.640625 C 1.03125 -3.1875 1.03125 -3.75 1.125 -4.1875 C 1.296875 -5 1.90625 -5.078125 2.109375 -5.078125 C 2.375 -5.078125 2.9375 -4.9375 3.09375 -4.21875 C 3.1875 -3.78125 3.1875 -3.171875 3.1875 -2.640625 Z M 3.1875 -2.640625 "></path>
</g>
<g id="context.svg-glyph2-2">
<path d="M 3.5625 0 L 3.5625 -0.265625 L 3.28125 -0.265625 C 2.53125 -0.265625 2.5 -0.359375 2.5 -0.65625 L 2.5 -5.078125 C 2.5 -5.296875 2.484375 -5.296875 2.265625 -5.296875 C 1.9375 -4.984375 1.515625 -4.796875 0.765625 -4.796875 L 0.765625 -4.53125 C 0.984375 -4.53125 1.40625 -4.53125 1.875 -4.734375 L 1.875 -0.65625 C 1.875 -0.359375 1.84375 -0.265625 1.09375 -0.265625 L 0.8125 -0.265625 L 0.8125 0 C 1.140625 -0.03125 1.828125 -0.03125 2.1875 -0.03125 C 2.546875 -0.03125 3.234375 -0.03125 3.5625 0 Z M 3.5625 0 "></path>
</g>
<g id="context.svg-glyph2-3">
<path d="M 3.796875 -1.421875 L 3.546875 -1.421875 C 3.53125 -1.265625 3.46875 -0.875 3.375 -0.71875 C 3.328125 -0.65625 2.71875 -0.65625 2.59375 -0.65625 L 1.171875 -0.65625 L 2.25 -1.625 C 2.375 -1.75 2.703125 -2.015625 2.84375 -2.125 C 3.328125 -2.578125 3.796875 -3.015625 3.796875 -3.734375 C 3.796875 -4.6875 3 -5.296875 2.015625 -5.296875 C 1.046875 -5.296875 0.421875 -4.578125 0.421875 -3.859375 C 0.421875 -3.46875 0.734375 -3.421875 0.84375 -3.421875 C 1.015625 -3.421875 1.265625 -3.53125 1.265625 -3.84375 C 1.265625 -4.25 0.859375 -4.25 0.765625 -4.25 C 1 -4.84375 1.53125 -5.03125 1.921875 -5.03125 C 2.65625 -5.03125 3.046875 -4.40625 3.046875 -3.734375 C 3.046875 -2.90625 2.46875 -2.296875 1.515625 -1.34375 L 0.515625 -0.296875 C 0.421875 -0.21875 0.421875 -0.203125 0.421875 0 L 3.5625 0 Z M 3.796875 -1.421875 "></path>
</g>
<g id="context.svg-glyph2-4">
<path d="M 3.875 -1.359375 C 3.875 -2.03125 3.34375 -2.625 2.53125 -2.8125 C 3.15625 -3.03125 3.640625 -3.5625 3.640625 -4.203125 C 3.640625 -4.84375 2.921875 -5.296875 2.09375 -5.296875 C 1.234375 -5.296875 0.59375 -4.84375 0.59375 -4.234375 C 0.59375 -3.9375 0.78125 -3.8125 1 -3.8125 C 1.25 -3.8125 1.40625 -3.984375 1.40625 -4.21875 C 1.40625 -4.515625 1.140625 -4.625 0.96875 -4.625 C 1.3125 -5.0625 1.921875 -5.09375 2.0625 -5.09375 C 2.265625 -5.09375 2.875 -5.03125 2.875 -4.203125 C 2.875 -3.65625 2.640625 -3.3125 2.53125 -3.1875 C 2.296875 -2.9375 2.109375 -2.921875 1.625 -2.890625 C 1.46875 -2.890625 1.40625 -2.875 1.40625 -2.765625 C 1.40625 -2.65625 1.484375 -2.65625 1.625 -2.65625 L 2.015625 -2.65625 C 2.640625 -2.65625 3.046875 -2.203125 3.046875 -1.359375 C 3.046875 -0.359375 2.484375 -0.078125 2.0625 -0.078125 C 1.625 -0.078125 1.015625 -0.234375 0.734375 -0.65625 C 1.03125 -0.65625 1.234375 -0.84375 1.234375 -1.09375 C 1.234375 -1.359375 1.046875 -1.53125 0.78125 -1.53125 C 0.578125 -1.53125 0.34375 -1.40625 0.34375 -1.078125 C 0.34375 -0.328125 1.15625 0.171875 2.078125 0.171875 C 3.125 0.171875 3.875 -0.5625 3.875 -1.359375 Z M 3.875 -1.359375 "></path>
</g>
<g id="context.svg-glyph2-5">
<path d="M 3.984375 -1.3125 L 3.984375 -1.5625 L 3.140625 -1.5625 L 3.140625 -5.15625 C 3.140625 -5.3125 3.140625 -5.375 2.96875 -5.375 C 2.875 -5.375 2.859375 -5.375 2.78125 -5.265625 L 0.234375 -1.5625 L 0.234375 -1.3125 L 2.484375 -1.3125 L 2.484375 -0.640625 C 2.484375 -0.34375 2.46875 -0.265625 1.84375 -0.265625 L 1.671875 -0.265625 L 1.671875 0 L 2.8125 -0.03125 L 3.953125 0 L 3.953125 -0.265625 L 3.78125 -0.265625 C 3.15625 -0.265625 3.140625 -0.34375 3.140625 -0.640625 L 3.140625 -1.3125 Z M 2.546875 -1.5625 L 0.515625 -1.5625 L 2.546875 -4.515625 Z M 2.546875 -1.5625 "></path>
</g>
<g id="context.svg-glyph3-0">
<path d=""></path>
</g>
<g id="context.svg-glyph3-1">
<path d="M 8.296875 -2.984375 C 8.296875 -3.234375 8.0625 -3.234375 7.90625 -3.234375 L 1.390625 -3.234375 C 1.21875 -3.234375 0.984375 -3.234375 0.984375 -2.984375 C 0.984375 -2.75 1.21875 -2.75 1.390625 -2.75 L 7.90625 -2.75 C 8.0625 -2.75 8.296875 -2.75 8.296875 -2.984375 Z M 8.296875 -2.984375 "></path>
</g>
</g>
</defs>
<g id="context.svg-surface1">
<g>
<use xlink:href="#context.svg-glyph0-1" x="0.147" y="9.154"></use>
<use xlink:href="#context.svg-glyph0-2" x="5.184921" y="9.154"></use>
<use xlink:href="#context.svg-glyph0-3" x="10.812234" y="9.154"></use>
<use xlink:href="#context.svg-glyph0-4" x="17.800048" y="9.154"></use>
<use xlink:href="#context.svg-glyph0-5" x="22.027407" y="9.154"></use>
<use xlink:href="#context.svg-glyph0-6" x="27.452677" y="9.154"></use>
<use xlink:href="#context.svg-glyph0-4" x="34.10455" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-1" x="41.652" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-7" x="54.078" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph2-1" x="63.349" y="10.948"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-2" x="68.082" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-8" x="71.402" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph3-1" x="77.809" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-4" x="89.764" y="9.154"></use>
<use xlink:href="#context.svg-glyph0-8" x="93.991359" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-3" x="97.741" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-4" x="103.646869" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-7" x="115.411" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph2-2" x="124.682" y="10.948"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-2" x="129.415" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-4" x="132.735" y="9.154"></use>
<use xlink:href="#context.svg-glyph0-8" x="136.962359" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph3-1" x="143.369" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-4" x="155.324" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-3" x="159.551" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-4" x="165.456869" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-7" x="177.221" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph2-3" x="186.493" y="10.948"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-2" x="191.225" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-4" x="194.546" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph3-1" x="201.43" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-4" x="213.385" y="9.154"></use>
<use xlink:href="#context.svg-glyph0-9" x="217.612359" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-3" x="223.212" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-4" x="229.117869" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-7" x="240.882" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph2-4" x="250.154" y="10.948"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-2" x="254.886" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-10" x="258.207" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph3-1" x="268.828" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-8" x="280.783" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-3" x="284.533" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-4" x="290.438869" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-7" x="302.203" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph2-5" x="311.474" y="10.948"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-2" x="316.206" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-11" x="319.527" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph3-1" x="330.671" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph0-4" x="342.626" y="9.154"></use>
</g>
<g>
<use xlink:href="#context.svg-glyph1-3" x="346.853" y="9.154"></use>
</g>
</g>
</svg><a href="#section-3.4-2.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-3" class="selfRef">Figure 3</a></figcaption></figure>
<p id="section-3.4-3">If <code>context >= 0</code> then <code>context</code> is used and the difference between the <code>Sample</code> and its predicted value is encoded as is, else <code>-context</code> is used and the difference between the <code>Sample</code> and its predicted value is encoded with a flipped sign.<a href="#section-3.4-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="quantization-table-sets">
<section id="section-3.5">
<h3 id="name-quantization-table-sets">
<a href="#section-3.5" class="section-number selfRef">3.5. </a><a href="#name-quantization-table-sets" class="section-name selfRef">Quantization Table Sets</a>
</h3>
<p id="section-3.5-1">The FFV1 bitstream contains 1 or more Quantization Table Sets. Each Quantization Table Set contains exactly 5 Quantization Tables with each Quantization Table corresponding to 1 of the 5 Quantized Sample Differences. For each Quantization Table, both the number of quantization steps and their distribution are stored in the FFV1 bitstream; each Quantization Table has exactly 256 entries, and the 8 least significant bits of the Quantized Sample Difference are used as index:<a href="#section-3.5-1" class="pilcrow">¶</a></p>
<figure id="figure-4">
<div id="section-3.5-2.1">
<div class="artwork art-svg alignLeft" id="section-3.5-2.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="181pt" height="13pt" viewBox="0 0 181 13" version="1.1">
<defs>
<g>
<g id="quantizationtablesets.svg-glyph0-0">
<path d=""></path>
</g>
<g id="quantizationtablesets.svg-glyph0-1">
<path d="M 8.515625 0.125 C 8.515625 0 8.515625 -0.109375 8.390625 -0.109375 C 8.296875 -0.109375 8.296875 -0.03125 8.28125 0.0625 C 8.203125 0.921875 7.609375 1.203125 7.203125 1.203125 C 6.59375 1.203125 6.3125 0.765625 6.03125 -0.078125 C 7.3125 -0.640625 8.453125 -2.125 8.453125 -4.046875 C 8.453125 -6.53125 6.640625 -8.421875 4.546875 -8.421875 C 2.421875 -8.421875 0.640625 -6.5 0.640625 -4.046875 C 0.640625 -1.65625 2.421875 0.25 4.546875 0.25 C 4.953125 0.25 5.359375 0.171875 5.671875 0.078125 C 5.875 1.296875 6.03125 2.3125 7.09375 2.3125 C 8.5 2.3125 8.515625 0.234375 8.515625 0.125 Z M 7.359375 -4.0625 C 7.359375 -2.359375 6.84375 -1.125 5.875 -0.453125 C 5.671875 -1.046875 5.34375 -1.75 4.5625 -1.75 C 3.96875 -1.75 3.625 -1.25 3.625 -0.75 C 3.625 -0.4375 3.796875 -0.171875 3.8125 -0.140625 C 2.921875 -0.453125 1.734375 -1.484375 1.734375 -4.0625 C 1.734375 -7.046875 3.34375 -8.15625 4.546875 -8.15625 C 5.796875 -8.15625 7.359375 -7 7.359375 -4.0625 Z M 5.625 -0.28125 C 5.265625 -0.09375 4.875 -0.015625 4.546875 -0.015625 C 4.046875 -0.015625 3.859375 -0.484375 3.859375 -0.765625 C 3.859375 -1.109375 4.109375 -1.515625 4.5625 -1.515625 C 5.25 -1.515625 5.484375 -0.953125 5.625 -0.28125 Z M 5.625 -0.28125 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-2">
<path d="M 8.78125 1.625 L 8.78125 1.359375 L 0 1.359375 L 0 1.625 Z M 8.78125 1.625 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-3">
<path d="M 5.109375 2.859375 C 5.109375 2.734375 5.03125 2.734375 4.90625 2.71875 C 3.96875 2.671875 3.53125 2.125 3.421875 1.703125 C 3.375 1.5625 3.375 1.546875 3.375 1.125 L 3.375 -0.671875 C 3.375 -1.03125 3.375 -1.640625 3.359375 -1.75 C 3.203125 -2.546875 2.4375 -2.859375 1.96875 -2.984375 C 3.375 -3.390625 3.375 -4.25 3.375 -4.578125 L 3.375 -6.734375 C 3.375 -7.59375 3.375 -7.859375 3.671875 -8.15625 C 3.890625 -8.359375 4.15625 -8.65625 5 -8.703125 C 5.0625 -8.71875 5.109375 -8.765625 5.109375 -8.828125 C 5.109375 -8.96875 5.015625 -8.96875 4.859375 -8.96875 C 3.671875 -8.96875 2.609375 -8.359375 2.578125 -7.5 L 2.578125 -5.3125 C 2.578125 -4.1875 2.578125 -4 2.265625 -3.65625 C 2.109375 -3.484375 1.78125 -3.171875 1.03125 -3.125 C 0.9375 -3.125 0.859375 -3.109375 0.859375 -2.984375 C 0.859375 -2.875 0.9375 -2.875 1.046875 -2.859375 C 1.5625 -2.828125 2.578125 -2.5625 2.578125 -1.375 L 2.578125 0.984375 C 2.578125 1.6875 2.578125 2.09375 3.203125 2.53125 C 3.71875 2.890625 4.5 2.984375 4.859375 2.984375 C 5.015625 2.984375 5.109375 2.984375 5.109375 2.859375 Z M 5.109375 2.859375 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-4">
<path d="M 2.421875 0.609375 L 2.421875 -5.265625 L 0.671875 -5.140625 L 0.671875 -4.796875 C 1.5625 -4.796875 1.671875 -4.703125 1.671875 -4.125 L 1.671875 0.65625 C 1.671875 1.3125 1.546875 2.203125 0.84375 2.203125 C 0.84375 2.203125 0.453125 2.203125 0.171875 2.03125 C 0.484375 1.96875 0.578125 1.75 0.578125 1.546875 C 0.578125 1.265625 0.375 1.046875 0.09375 1.046875 C -0.203125 1.046875 -0.40625 1.265625 -0.40625 1.546875 C -0.40625 2.125 0.234375 2.4375 0.859375 2.4375 C 1.71875 2.4375 2.421875 1.703125 2.421875 0.609375 Z M 2.4375 -7.21875 C 2.4375 -7.578125 2.15625 -7.8125 1.859375 -7.8125 C 1.53125 -7.8125 1.28125 -7.546875 1.28125 -7.21875 C 1.28125 -6.90625 1.546875 -6.640625 1.859375 -6.640625 C 2.21875 -6.640625 2.4375 -6.9375 2.4375 -7.21875 Z M 2.4375 -7.21875 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-5">
<path d="M 5.109375 -2.984375 C 5.109375 -3.109375 5.03125 -3.109375 4.90625 -3.125 C 4.40625 -3.15625 3.375 -3.40625 3.375 -4.609375 L 3.375 -6.96875 C 3.375 -7.65625 3.375 -8.0625 2.765625 -8.515625 C 2.25 -8.859375 1.484375 -8.96875 1.09375 -8.96875 C 0.984375 -8.96875 0.859375 -8.96875 0.859375 -8.828125 C 0.859375 -8.71875 0.9375 -8.71875 1.046875 -8.703125 C 2 -8.640625 2.4375 -8.109375 2.546875 -7.671875 C 2.578125 -7.546875 2.578125 -7.515625 2.578125 -7.09375 L 2.578125 -5.3125 C 2.578125 -4.953125 2.578125 -4.34375 2.609375 -4.21875 C 2.765625 -3.4375 3.53125 -3.125 4 -2.984375 C 2.578125 -2.578125 2.578125 -1.734375 2.578125 -1.40625 L 2.578125 0.75 C 2.578125 1.609375 2.578125 1.875 2.296875 2.171875 C 2.078125 2.390625 1.8125 2.671875 0.96875 2.71875 C 0.90625 2.734375 0.859375 2.78125 0.859375 2.859375 C 0.859375 2.984375 0.984375 2.984375 1.09375 2.984375 C 2.296875 2.984375 3.359375 2.375 3.375 1.515625 L 3.375 -0.671875 C 3.375 -1.796875 3.375 -1.984375 3.6875 -2.3125 C 3.859375 -2.484375 4.1875 -2.8125 4.9375 -2.859375 C 5.015625 -2.859375 5.109375 -2.875 5.109375 -2.984375 Z M 5.109375 -2.984375 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-6">
<path d="M 2.984375 2.984375 L 2.984375 2.546875 L 1.828125 2.546875 L 1.828125 -8.515625 L 2.984375 -8.515625 L 2.984375 -8.96875 L 1.390625 -8.96875 L 1.390625 2.984375 Z M 2.984375 2.984375 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-7">
<path d="M 5.96875 0 L 5.96875 -0.34375 C 5.65625 -0.34375 5.28125 -0.34375 4.953125 -0.84375 L 3.34375 -3.171875 L 3.265625 -3.28125 C 3.265625 -3.328125 4.015625 -3.96875 4.109375 -4.0625 C 4.9375 -4.78125 5.46875 -4.796875 5.71875 -4.8125 L 5.71875 -5.15625 C 5.46875 -5.125 5.15625 -5.125 4.8125 -5.125 C 4.5 -5.125 3.890625 -5.125 3.609375 -5.15625 L 3.609375 -4.8125 C 3.8125 -4.796875 3.953125 -4.6875 3.953125 -4.5 C 3.953125 -4.25 3.703125 -4.046875 3.703125 -4.046875 L 2 -2.53125 L 2 -8.296875 L 0.328125 -8.15625 L 0.328125 -7.8125 C 1.140625 -7.8125 1.25 -7.734375 1.25 -7.140625 L 1.25 -0.890625 C 1.25 -0.34375 1.109375 -0.34375 0.328125 -0.34375 L 0.328125 0 C 0.671875 -0.03125 1.25 -0.03125 1.609375 -0.03125 C 1.953125 -0.03125 2.53125 -0.03125 2.875 0 L 2.875 -0.34375 C 2.109375 -0.34375 1.953125 -0.34375 1.953125 -0.890625 L 1.953125 -2.15625 L 2.71875 -2.828125 L 3.875 -1.171875 C 4.046875 -0.921875 4.140625 -0.78125 4.140625 -0.625 C 4.140625 -0.40625 3.96875 -0.34375 3.71875 -0.34375 L 3.71875 0 C 4.015625 -0.03125 4.609375 -0.03125 4.921875 -0.03125 C 5.4375 -0.03125 5.46875 -0.03125 5.96875 0 Z M 5.96875 0 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-8">
<path d="M 1.859375 2.984375 L 1.859375 -8.96875 L 0.25 -8.96875 L 0.25 -8.515625 L 1.40625 -8.515625 L 1.40625 2.546875 L 0.25 2.546875 L 0.25 2.984375 Z M 1.859375 2.984375 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-9">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-10">
<path d="M 6.15625 2.3125 L 6.15625 1.96875 C 5.390625 1.96875 5.25 1.96875 5.25 1.4375 L 5.25 -5.265625 L 5.015625 -5.265625 L 4.5625 -4.15625 C 4.34375 -4.609375 3.890625 -5.265625 2.96875 -5.265625 C 1.65625 -5.265625 0.421875 -4.140625 0.421875 -2.5625 C 0.421875 -1.046875 1.5625 0.125 2.875 0.125 C 3.515625 0.125 4.046875 -0.171875 4.46875 -0.78125 L 4.46875 1.4375 C 4.46875 1.96875 4.34375 1.96875 3.5625 1.96875 L 3.5625 2.3125 C 3.875 2.296875 4.515625 2.296875 4.859375 2.296875 C 5.203125 2.296875 5.84375 2.296875 6.15625 2.3125 Z M 4.5 -1.609375 C 4.5 -1.21875 4.28125 -0.875 4 -0.59375 C 3.578125 -0.15625 3.125 -0.125 2.9375 -0.125 C 2.03125 -0.125 1.328125 -1.25 1.328125 -2.5625 C 1.328125 -4 2.15625 -5.015625 3.046875 -5.015625 C 4 -5.015625 4.5 -3.984375 4.5 -3.359375 Z M 4.5 -1.609375 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-11">
<path d="M 6.234375 0 L 6.234375 -0.34375 C 5.421875 -0.34375 5.3125 -0.4375 5.3125 -1.015625 L 5.3125 -5.265625 L 3.640625 -5.140625 L 3.640625 -4.796875 C 4.453125 -4.796875 4.546875 -4.703125 4.546875 -4.125 L 4.546875 -1.984375 C 4.546875 -0.96875 4 -0.125 3.109375 -0.125 C 2.125 -0.125 2.0625 -0.6875 2.0625 -1.3125 L 2.0625 -5.265625 L 0.375 -5.140625 L 0.375 -4.796875 C 1.296875 -4.796875 1.296875 -4.75 1.296875 -3.6875 L 1.296875 -1.90625 C 1.296875 -1.15625 1.296875 -0.734375 1.65625 -0.328125 C 1.9375 -0.03125 2.421875 0.125 3.03125 0.125 C 3.234375 0.125 3.625 0.125 4.03125 -0.234375 C 4.375 -0.5 4.5625 -0.953125 4.5625 -0.953125 L 4.5625 0.125 Z M 6.234375 0 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-12">
<path d="M 5.671875 -1.0625 L 5.671875 -1.734375 L 5.40625 -1.734375 L 5.40625 -1.0625 C 5.40625 -0.375 5.109375 -0.28125 4.953125 -0.28125 C 4.5 -0.28125 4.5 -0.921875 4.5 -1.09375 L 4.5 -3.1875 C 4.5 -3.84375 4.5 -4.3125 3.96875 -4.78125 C 3.546875 -5.15625 3.015625 -5.328125 2.484375 -5.328125 C 1.5 -5.328125 0.75 -4.6875 0.75 -3.90625 C 0.75 -3.5625 0.984375 -3.390625 1.25 -3.390625 C 1.546875 -3.390625 1.75 -3.59375 1.75 -3.890625 C 1.75 -4.375 1.3125 -4.375 1.140625 -4.375 C 1.40625 -4.875 1.984375 -5.09375 2.46875 -5.09375 C 3.015625 -5.09375 3.71875 -4.640625 3.71875 -3.5625 L 3.71875 -3.078125 C 1.3125 -3.046875 0.40625 -2.046875 0.40625 -1.125 C 0.40625 -0.171875 1.5 0.125 2.234375 0.125 C 3.03125 0.125 3.5625 -0.359375 3.796875 -0.9375 C 3.84375 -0.375 4.203125 0.0625 4.71875 0.0625 C 4.96875 0.0625 5.671875 -0.109375 5.671875 -1.0625 Z M 3.71875 -1.6875 C 3.71875 -0.515625 2.84375 -0.125 2.328125 -0.125 C 1.75 -0.125 1.25 -0.546875 1.25 -1.125 C 1.25 -2.703125 3.28125 -2.84375 3.71875 -2.875 Z M 3.71875 -1.6875 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-13">
<path d="M 6.234375 0 L 6.234375 -0.34375 C 5.625 -0.34375 5.328125 -0.34375 5.3125 -0.703125 L 5.3125 -2.90625 C 5.3125 -4.015625 5.3125 -4.34375 5.046875 -4.734375 C 4.703125 -5.203125 4.140625 -5.265625 3.734375 -5.265625 C 2.5625 -5.265625 2.109375 -4.28125 2.015625 -4.046875 L 2.015625 -5.265625 L 0.375 -5.140625 L 0.375 -4.796875 C 1.1875 -4.796875 1.296875 -4.703125 1.296875 -4.125 L 1.296875 -0.890625 C 1.296875 -0.34375 1.15625 -0.34375 0.375 -0.34375 L 0.375 0 C 0.6875 -0.03125 1.34375 -0.03125 1.671875 -0.03125 C 2.015625 -0.03125 2.671875 -0.03125 2.96875 0 L 2.96875 -0.34375 C 2.21875 -0.34375 2.0625 -0.34375 2.0625 -0.890625 L 2.0625 -3.109375 C 2.0625 -4.359375 2.890625 -5.03125 3.640625 -5.03125 C 4.375 -5.03125 4.546875 -4.421875 4.546875 -3.6875 L 4.546875 -0.890625 C 4.546875 -0.34375 4.40625 -0.34375 3.640625 -0.34375 L 3.640625 0 C 3.9375 -0.03125 4.59375 -0.03125 4.921875 -0.03125 C 5.265625 -0.03125 5.921875 -0.03125 6.234375 0 Z M 6.234375 0 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-14">
<path d="M 3.890625 -1.484375 L 3.890625 -2.15625 L 3.640625 -2.15625 L 3.640625 -1.5 C 3.640625 -0.640625 3.28125 -0.140625 2.828125 -0.140625 C 2.015625 -0.140625 2.015625 -1.25 2.015625 -1.453125 L 2.015625 -4.8125 L 3.6875 -4.8125 L 3.6875 -5.15625 L 2.015625 -5.15625 L 2.015625 -7.34375 L 1.75 -7.34375 C 1.734375 -6.234375 1.296875 -5.078125 0.21875 -5.046875 L 0.21875 -4.8125 L 1.234375 -4.8125 L 1.234375 -1.484375 C 1.234375 -0.15625 2.109375 0.125 2.75 0.125 C 3.5 0.125 3.890625 -0.625 3.890625 -1.484375 Z M 3.890625 -1.484375 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-15">
<path d="M 6.078125 -2.578125 C 6.078125 -4.09375 4.953125 -5.265625 3.625 -5.265625 C 2.96875 -5.265625 2.40625 -4.96875 2 -4.46875 L 2 -8.296875 L 0.328125 -8.15625 L 0.328125 -7.8125 C 1.140625 -7.8125 1.25 -7.734375 1.25 -7.140625 L 1.25 0 L 1.5 0 L 1.9375 -0.78125 C 2.21875 -0.328125 2.71875 0.125 3.484375 0.125 C 4.859375 0.125 6.078125 -1.046875 6.078125 -2.578125 Z M 5.15625 -2.59375 C 5.15625 -1.796875 5.046875 -1.296875 4.75 -0.859375 C 4.515625 -0.484375 4.046875 -0.125 3.4375 -0.125 C 2.796875 -0.125 2.375 -0.53125 2.171875 -0.859375 C 2.015625 -1.109375 2.015625 -1.15625 2.015625 -1.359375 L 2.015625 -3.828125 C 2.015625 -4.046875 2.015625 -4.0625 2.15625 -4.25 C 2.4375 -4.6875 2.96875 -5.03125 3.546875 -5.03125 C 3.90625 -5.03125 5.15625 -4.890625 5.15625 -2.59375 Z M 5.15625 -2.59375 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-16">
<path d="M 2.96875 0 L 2.96875 -0.34375 C 2.203125 -0.34375 2.0625 -0.34375 2.0625 -0.890625 L 2.0625 -8.296875 L 0.390625 -8.15625 L 0.390625 -7.8125 C 1.203125 -7.8125 1.296875 -7.734375 1.296875 -7.140625 L 1.296875 -0.890625 C 1.296875 -0.34375 1.171875 -0.34375 0.390625 -0.34375 L 0.390625 0 C 0.734375 -0.03125 1.3125 -0.03125 1.671875 -0.03125 C 2.03125 -0.03125 2.625 -0.03125 2.96875 0 Z M 2.96875 0 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-17">
<path d="M 4.859375 -1.421875 C 4.859375 -1.5 4.8125 -1.546875 4.734375 -1.546875 C 4.640625 -1.546875 4.609375 -1.484375 4.59375 -1.421875 C 4.28125 -0.421875 3.484375 -0.140625 2.96875 -0.140625 C 2.46875 -0.140625 1.265625 -0.484375 1.265625 -2.546875 L 1.265625 -2.765625 L 4.578125 -2.765625 C 4.84375 -2.765625 4.859375 -2.765625 4.859375 -3 C 4.859375 -4.203125 4.21875 -5.328125 2.765625 -5.328125 C 1.40625 -5.328125 0.359375 -4.09375 0.359375 -2.625 C 0.359375 -1.046875 1.578125 0.125 2.90625 0.125 C 4.328125 0.125 4.859375 -1.171875 4.859375 -1.421875 Z M 4.125 -3 L 1.28125 -3 C 1.375 -4.875 2.421875 -5.09375 2.765625 -5.09375 C 4.046875 -5.09375 4.109375 -3.40625 4.125 -3 Z M 4.125 -3 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-18">
<path d="M 4.203125 -1.515625 C 4.203125 -2.15625 3.8125 -2.546875 3.703125 -2.65625 C 3.28125 -3.03125 2.953125 -3.09375 2.15625 -3.234375 C 1.8125 -3.3125 0.9375 -3.484375 0.9375 -4.203125 C 0.9375 -4.5625 1.1875 -5.109375 2.265625 -5.109375 C 3.5625 -5.109375 3.640625 -4 3.65625 -3.640625 C 3.671875 -3.53125 3.75 -3.53125 3.796875 -3.53125 C 3.921875 -3.53125 3.921875 -3.59375 3.921875 -3.8125 L 3.921875 -5.0625 C 3.921875 -5.265625 3.921875 -5.328125 3.796875 -5.328125 C 3.703125 -5.328125 3.484375 -5.0625 3.390625 -4.953125 C 3.03125 -5.265625 2.65625 -5.328125 2.265625 -5.328125 C 0.828125 -5.328125 0.390625 -4.546875 0.390625 -3.890625 C 0.390625 -3.75 0.390625 -3.328125 0.84375 -2.921875 C 1.234375 -2.578125 1.640625 -2.5 2.1875 -2.390625 C 2.84375 -2.265625 3 -2.21875 3.296875 -1.984375 C 3.515625 -1.8125 3.671875 -1.546875 3.671875 -1.203125 C 3.671875 -0.6875 3.375 -0.125 2.3125 -0.125 C 1.53125 -0.125 0.953125 -0.578125 0.6875 -1.765625 C 0.640625 -1.984375 0.640625 -2.015625 0.640625 -2.015625 C 0.609375 -2.0625 0.5625 -2.0625 0.53125 -2.0625 C 0.390625 -2.0625 0.390625 -2 0.390625 -1.78125 L 0.390625 -0.15625 C 0.390625 0.0625 0.390625 0.125 0.515625 0.125 C 0.578125 0.125 0.578125 0.109375 0.78125 -0.140625 C 0.84375 -0.234375 0.84375 -0.25 1.03125 -0.4375 C 1.484375 0.125 2.125 0.125 2.328125 0.125 C 3.578125 0.125 4.203125 -0.578125 4.203125 -1.515625 Z M 4.203125 -1.515625 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-19">
<path d="M 2.875 0 L 2.875 -0.34375 C 2.109375 -0.34375 2.0625 -0.40625 2.0625 -0.875 L 2.0625 -5.265625 L 0.4375 -5.140625 L 0.4375 -4.796875 C 1.1875 -4.796875 1.296875 -4.71875 1.296875 -4.140625 L 1.296875 -0.890625 C 1.296875 -0.34375 1.171875 -0.34375 0.390625 -0.34375 L 0.390625 0 C 0.734375 -0.03125 1.296875 -0.03125 1.65625 -0.03125 C 1.78125 -0.03125 2.46875 -0.03125 2.875 0 Z M 2.21875 -7.21875 C 2.21875 -7.578125 1.921875 -7.8125 1.640625 -7.8125 C 1.296875 -7.8125 1.046875 -7.546875 1.046875 -7.21875 C 1.046875 -6.90625 1.3125 -6.640625 1.625 -6.640625 C 1.984375 -6.640625 2.21875 -6.9375 2.21875 -7.21875 Z M 2.21875 -7.21875 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-20">
<path d="M 8.515625 -4.8125 L 8.515625 -5.15625 L 7.328125 -5.125 C 7 -5.125 6.234375 -5.125 5.96875 -5.15625 L 5.96875 -4.8125 C 6.46875 -4.8125 6.796875 -4.609375 6.796875 -4.28125 C 6.796875 -4.234375 6.796875 -4.15625 6.75 -4.0625 C 6.515625 -3.625 6.1875 -3.078125 5.890625 -2.59375 C 5.46875 -1.90625 5.09375 -1.453125 5.046875 -1.390625 C 4.84375 -1.640625 3.625 -3.1875 3.078125 -4.625 C 3.375 -4.953125 4.484375 -6.140625 4.484375 -7.046875 C 4.484375 -7.15625 4.46875 -8.546875 3.484375 -8.546875 C 2.765625 -8.546875 1.921875 -7.90625 1.921875 -6.640625 C 1.921875 -6.078125 2.03125 -5.265625 2.328125 -4.453125 L 2.390625 -4.25 C 2.390625 -4.203125 2.328125 -4.140625 2.3125 -4.125 L 0.9375 -2.625 C 0.734375 -2.40625 0.484375 -2.015625 0.484375 -1.53125 C 0.484375 -0.484375 1.484375 0.25 2.609375 0.25 C 3.40625 0.25 4.125 -0.09375 4.734375 -0.671875 C 5.03125 -0.40625 5.765625 0.25 6.796875 0.25 C 7.6875 0.25 8.421875 -0.4375 8.453125 -1.453125 L 8.1875 -1.453125 C 8.15625 -0.53125 7.421875 -0.09375 6.84375 -0.09375 C 6.25 -0.09375 5.71875 -0.578125 5.21875 -1.171875 C 5.765625 -1.859375 6.1875 -2.5625 6.796875 -3.625 C 7.21875 -4.34375 7.46875 -4.796875 8.515625 -4.8125 Z M 4.21875 -7.03125 C 4.21875 -6.25 3.234375 -5.171875 2.984375 -4.890625 C 2.734375 -5.578125 2.625 -6.390625 2.625 -6.921875 C 2.625 -7.890625 3.078125 -8.3125 3.515625 -8.3125 C 4.171875 -8.3125 4.21875 -7.265625 4.21875 -7.03125 Z M 4.53125 -0.875 C 3.796875 -0.171875 3.0625 -0.09375 2.71875 -0.09375 C 1.734375 -0.09375 1.40625 -1.171875 1.40625 -1.90625 C 1.40625 -2.21875 1.453125 -2.71875 1.765625 -3.15625 C 1.78125 -3.1875 2.40625 -3.875 2.5 -3.984375 C 2.96875 -2.890625 3.765625 -1.71875 4.53125 -0.875 Z M 4.53125 -0.875 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-21">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="quantizationtablesets.svg-glyph0-22">
<path d="M 5.265625 -2.40625 C 5.265625 -3.828125 4.296875 -5.015625 3.046875 -5.015625 C 2.359375 -5.015625 1.84375 -4.703125 1.53125 -4.375 L 1.53125 -6.84375 C 2.046875 -6.6875 2.46875 -6.671875 2.59375 -6.671875 C 3.9375 -6.671875 4.8125 -7.65625 4.8125 -7.828125 C 4.8125 -7.875 4.78125 -7.9375 4.703125 -7.9375 C 4.703125 -7.9375 4.65625 -7.9375 4.546875 -7.890625 C 3.890625 -7.609375 3.3125 -7.5625 3 -7.5625 C 2.21875 -7.5625 1.65625 -7.8125 1.421875 -7.90625 C 1.34375 -7.9375 1.296875 -7.9375 1.296875 -7.9375 C 1.203125 -7.9375 1.203125 -7.859375 1.203125 -7.671875 L 1.203125 -4.125 C 1.203125 -3.90625 1.203125 -3.84375 1.34375 -3.84375 C 1.40625 -3.84375 1.421875 -3.84375 1.546875 -4 C 1.875 -4.484375 2.4375 -4.765625 3.03125 -4.765625 C 3.671875 -4.765625 3.984375 -4.1875 4.078125 -3.984375 C 4.28125 -3.515625 4.296875 -2.921875 4.296875 -2.46875 C 4.296875 -2.015625 4.296875 -1.34375 3.953125 -0.796875 C 3.6875 -0.375 3.234375 -0.078125 2.703125 -0.078125 C 1.90625 -0.078125 1.140625 -0.609375 0.921875 -1.484375 C 0.984375 -1.453125 1.046875 -1.453125 1.109375 -1.453125 C 1.3125 -1.453125 1.640625 -1.5625 1.640625 -1.96875 C 1.640625 -2.3125 1.40625 -2.5 1.109375 -2.5 C 0.890625 -2.5 0.578125 -2.390625 0.578125 -1.921875 C 0.578125 -0.90625 1.40625 0.25 2.71875 0.25 C 4.078125 0.25 5.265625 -0.890625 5.265625 -2.40625 Z M 5.265625 -2.40625 "></path>
</g>
</g>
</defs>
<g id="quantizationtablesets.svg-surface1">
<g>
<use xlink:href="#quantizationtablesets.svg-glyph0-1" x="-0.146" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-2" x="8.95908" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-3" x="17.734197" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-4" x="23.711797" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-5" x="27.288793" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-6" x="33.266393" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-7" x="36.518207" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-8" x="42.696655" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-9" x="45.948469" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-10" x="55.053549" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-11" x="61.231997" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-12" x="67.735626" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-13" x="73.588892" y="9.753"></use>
</g>
<g>
<use xlink:href="#quantizationtablesets.svg-glyph0-14" x="79.76973" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-2" x="84.32227" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-14" x="93.097387" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-12" x="97.649927" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-15" x="103.503193" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-16" x="110.006822" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-17" x="113.258636" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-18" x="118.461539" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-6" x="123.078637" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-19" x="126.330452" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-8" x="129.582266" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-6" x="132.834081" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-4" x="136.085895" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-8" x="139.662891" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-6" x="142.914705" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-7" x="146.16652" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-20" x="152.344967" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-21" x="161.450047" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-22" x="167.303313" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-22" x="173.156579" y="9.753"></use>
<use xlink:href="#quantizationtablesets.svg-glyph0-8" x="179.009845" y="9.753"></use>
</g>
</g>
</svg><a href="#section-3.5-2.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-4" class="selfRef">Figure 4</a></figcaption></figure>
<p id="section-3.5-3">In this formula, <code>i</code> is the Quantization Table Set index, <code>j</code> is the Quantized Table index, <code>k</code> the Quantized Sample Difference.<a href="#section-3.5-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="quantization-table-set-indexes">
<section id="section-3.6">
<h3 id="name-quantization-table-set-inde">
<a href="#section-3.6" class="section-number selfRef">3.6. </a><a href="#name-quantization-table-set-inde" class="section-name selfRef">Quantization Table Set Indexes</a>
</h3>
<p id="section-3.6-1">For each <code>Plane</code> of each slice, a Quantization Table Set is selected from an index:<a href="#section-3.6-1" class="pilcrow">¶</a></p>
<ul>
<li id="section-3.6-2.1">
<p id="section-3.6-2.1.1">For Y <code>Plane</code>, <code>quant_table_set_index[ 0 ]</code> index is used<a href="#section-3.6-2.1.1" class="pilcrow">¶</a></p>
</li>
<li id="section-3.6-2.2">
<p id="section-3.6-2.2.1">For Cb and Cr <code>Planes</code>, <code>quant_table_set_index[ 1 ]</code> index is used<a href="#section-3.6-2.2.1" class="pilcrow">¶</a></p>
</li>
<li id="section-3.6-2.3">
<p id="section-3.6-2.3.1">For extra <code>Plane</code>, <code>quant_table_set_index[ (version <= 3 || chroma_planes) ? 2 : 1 ]</code> index is used<a href="#section-3.6-2.3.1" class="pilcrow">¶</a></p>
</li>
</ul>
<p id="section-3.6-3">Background: in first implementations of FFV1 bitstream, the index for Cb and Cr <code>Planes</code> was stored even if it is not used (chroma_planes set to 0), this index is kept for version <= 3 in order to keep compatibility with FFV1 bitstreams in the wild.<a href="#section-3.6-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="color-spaces">
<section id="section-3.7">
<h3 id="name-color-spaces">
<a href="#section-3.7" class="section-number selfRef">3.7. </a><a href="#name-color-spaces" class="section-name selfRef">Color spaces</a>
</h3>
<p id="section-3.7-1">FFV1 supports several color spaces. The count of allowed coded planes and the meaning of the extra <code>Plane</code> are determined by the selected color space.<a href="#section-3.7-1" class="pilcrow">¶</a></p>
<p id="section-3.7-2">The FFV1 bitstream interleaves data in an order determined by the color space. In YCbCr for each <code>Plane</code>, each <code>Line</code> is coded from top to bottom and for each <code>Line</code>, each <code>Sample</code> is coded from left to right. In JPEG2000-RCT for each <code>Line</code> from top to bottom, each <code>Plane</code> is coded and for each <code>Plane</code>, each <code>Sample</code> is encoded from left to right.<a href="#section-3.7-2" class="pilcrow">¶</a></p>
<div id="ycbcr">
<section id="section-3.7.1">
<h4 id="name-ycbcr">
<a href="#section-3.7.1" class="section-number selfRef">3.7.1. </a><a href="#name-ycbcr" class="section-name selfRef">YCbCr</a>
</h4>
<p id="section-3.7.1-1">This color space allows 1 to 4 <code>Planes</code>.<a href="#section-3.7.1-1" class="pilcrow">¶</a></p>
<p id="section-3.7.1-2">The Cb and Cr <code>Planes</code> are optional, but if used then MUST be used together. Omitting the Cb and Cr <code>Planes</code> codes the frames in grayscale without color data.<a href="#section-3.7.1-2" class="pilcrow">¶</a></p>
<p id="section-3.7.1-3">An optional transparency <code>Plane</code> can be used to code transparency data.<a href="#section-3.7.1-3" class="pilcrow">¶</a></p>
<p id="section-3.7.1-4">An FFV1 <code>Frame</code> using YCbCr MUST use one of the following arrangements:<a href="#section-3.7.1-4" class="pilcrow">¶</a></p>
<ul>
<li id="section-3.7.1-5.1">
<p id="section-3.7.1-5.1.1">Y<a href="#section-3.7.1-5.1.1" class="pilcrow">¶</a></p>
</li>
<li id="section-3.7.1-5.2">
<p id="section-3.7.1-5.2.1">Y, Transparency<a href="#section-3.7.1-5.2.1" class="pilcrow">¶</a></p>
</li>
<li id="section-3.7.1-5.3">
<p id="section-3.7.1-5.3.1">Y, Cb, Cr<a href="#section-3.7.1-5.3.1" class="pilcrow">¶</a></p>
</li>
<li id="section-3.7.1-5.4">
<p id="section-3.7.1-5.4.1">Y, Cb, Cr, Transparency<a href="#section-3.7.1-5.4.1" class="pilcrow">¶</a></p>
</li>
</ul>
<p id="section-3.7.1-6">The Y <code>Plane</code> MUST be coded first. If the Cb and Cr <code>Planes</code> are used then they MUST be coded after the Y <code>Plane</code>. If a transparency <code>Plane</code> is used, then it MUST be coded last.<a href="#section-3.7.1-6" class="pilcrow">¶</a></p>
</section>
</div>
<div id="rgb">
<section id="section-3.7.2">
<h4 id="name-rgb">
<a href="#section-3.7.2" class="section-number selfRef">3.7.2. </a><a href="#name-rgb" class="section-name selfRef">RGB</a>
</h4>
<p id="section-3.7.2-1">This color space allows 3 or 4 <code>Planes</code>.<a href="#section-3.7.2-1" class="pilcrow">¶</a></p>
<p id="section-3.7.2-2">An optional transparency <code>Plane</code> can be used to code transparency data.<a href="#section-3.7.2-2" class="pilcrow">¶</a></p>
<p id="section-3.7.2-3">JPEG2000-RCT is a Reversible Color Transform that codes RGB (red, green, blue) <code>Planes</code> losslessly in a modified YCbCr color space <span>[<a href="#ISO.15444-1.2016" class="xref">ISO.15444-1.2016</a>]</span>. Reversible Pixel transformations between YCbCr and RGB use the following formulae.<a href="#section-3.7.2-3" class="pilcrow">¶</a></p>
<figure id="figure-5">
<div id="section-3.7.2-4.1">
<div class="artwork art-svg alignLeft" id="section-3.7.2-4.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="151pt" height="84pt" viewBox="0 0 151 84" version="1.1">
<defs>
<g>
<g id="rgb1.svg-glyph0-0">
<path d=""></path>
</g>
<g id="rgb1.svg-glyph0-1">
<path d="M 7.578125 -2.875 C 7.578125 -2.96875 7.484375 -2.96875 7.453125 -2.96875 C 7.34375 -2.96875 7.328125 -2.90625 7.296875 -2.859375 C 6.75 -0.984375 5.140625 -0.09375 3.9375 -0.09375 C 2.671875 -0.09375 1.578125 -0.90625 1.578125 -2.609375 C 1.578125 -2.984375 1.703125 -5.0625 3.046875 -6.640625 C 3.703125 -7.40625 4.828125 -8.0625 5.96875 -8.0625 C 7.28125 -8.0625 7.859375 -6.984375 7.859375 -5.765625 C 7.859375 -5.453125 7.828125 -5.1875 7.828125 -5.140625 C 7.828125 -5.03125 7.953125 -5.03125 7.984375 -5.03125 C 8.109375 -5.03125 8.125 -5.046875 8.171875 -5.265625 L 8.921875 -8.3125 C 8.921875 -8.421875 8.828125 -8.421875 8.828125 -8.421875 C 8.828125 -8.421875 8.75 -8.421875 8.65625 -8.296875 L 7.828125 -7.296875 C 7.40625 -8.015625 6.75 -8.421875 5.859375 -8.421875 C 3.28125 -8.421875 0.59375 -5.796875 0.59375 -2.984375 C 0.59375 -0.984375 2 0.25 3.734375 0.25 C 4.703125 0.25 5.53125 -0.15625 6.234375 -0.734375 C 7.265625 -1.609375 7.578125 -2.765625 7.578125 -2.875 Z M 7.578125 -2.875 "></path>
</g>
<g id="rgb1.svg-glyph0-2">
<path d="M 4.8125 -3.390625 C 4.8125 -4.5 4.203125 -5.265625 3.296875 -5.265625 C 2.671875 -5.265625 2.109375 -4.75 1.890625 -4.515625 L 2.765625 -8 C 2.765625 -8.046875 2.796875 -8.109375 2.796875 -8.171875 C 2.796875 -8.296875 2.65625 -8.296875 2.65625 -8.296875 L 2 -8.234375 C 1.796875 -8.21875 1.609375 -8.203125 1.40625 -8.1875 C 1.109375 -8.15625 1.03125 -8.15625 1.03125 -7.9375 C 1.03125 -7.8125 1.140625 -7.8125 1.265625 -7.8125 C 1.875 -7.8125 1.875 -7.703125 1.875 -7.59375 C 1.875 -7.5 1.78125 -7.15625 1.734375 -6.9375 L 1.453125 -5.796875 L 0.59375 -2.390625 C 0.53125 -2.09375 0.53125 -1.890625 0.53125 -1.734375 C 0.53125 -0.515625 1.21875 0.125 2 0.125 C 3.375 0.125 4.8125 -1.65625 4.8125 -3.390625 Z M 3.40625 -1.34375 C 3.109375 -0.6875 2.5625 -0.125 2.015625 -0.125 C 1.625 -0.125 1.203125 -0.40625 1.203125 -1.34375 C 1.203125 -1.734375 1.25 -1.953125 1.453125 -2.796875 L 1.734375 -3.875 C 1.75 -3.96875 2.46875 -5.03125 3.28125 -5.03125 C 3.796875 -5.03125 4.046875 -4.5 4.046875 -3.890625 C 4.046875 -3.3125 3.703125 -1.953125 3.40625 -1.34375 Z M 3.40625 -1.34375 "></path>
</g>
<g id="rgb1.svg-glyph0-3">
<path d="M 4.046875 -1.515625 C 4 -1.328125 3.96875 -1.28125 3.8125 -1.09375 C 3.328125 -0.46875 2.828125 -0.234375 2.453125 -0.234375 C 2.0625 -0.234375 1.6875 -0.546875 1.6875 -1.375 C 1.6875 -2.015625 2.046875 -3.34375 2.3125 -3.890625 C 2.65625 -4.546875 3.1875 -5.03125 3.6875 -5.03125 C 4.484375 -5.03125 4.640625 -4.046875 4.640625 -3.984375 L 4.609375 -3.8125 Z M 4.21875 0.796875 L 5.546875 -4.546875 C 5.578125 -4.703125 5.578125 -4.75 5.578125 -4.75 C 5.578125 -4.90625 5.453125 -5.046875 5.265625 -5.046875 C 4.984375 -5.046875 4.8125 -4.8125 4.78125 -4.484375 C 4.625 -4.828125 4.296875 -5.265625 3.6875 -5.265625 C 2.390625 -5.265625 0.90625 -3.640625 0.90625 -1.859375 C 0.90625 -0.609375 1.65625 0 2.421875 0 C 3.0625 0 3.625 -0.5 3.84375 -0.734375 C 3.640625 0.0625 3.640625 0.078125 3.578125 0.328125 C 3.40625 0.984375 3.328125 1.296875 2.90625 1.703125 C 2.421875 2.203125 1.953125 2.203125 1.703125 2.203125 C 1.34375 2.203125 1.046875 2.171875 0.734375 2.078125 C 1.125 1.96875 1.21875 1.640625 1.21875 1.5 C 1.21875 1.3125 1.078125 1.125 0.8125 1.125 C 0.53125 1.125 0.21875 1.359375 0.21875 1.75 C 0.21875 2.25 0.703125 2.4375 1.71875 2.4375 C 3.265625 2.4375 4.0625 1.453125 4.21875 0.796875 Z M 4.21875 0.796875 "></path>
</g>
<g id="rgb1.svg-glyph0-4">
<path d="M 5.09375 -4.546875 C 5.09375 -4.9375 4.71875 -5.265625 4.125 -5.265625 C 3.640625 -5.265625 3.09375 -5.0625 2.59375 -4.328125 C 2.515625 -4.953125 2.03125 -5.265625 1.546875 -5.265625 C 1.09375 -5.265625 0.84375 -4.90625 0.703125 -4.65625 C 0.5 -4.21875 0.328125 -3.5 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.8125 -5.03125 1.890625 -4.828125 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.5625 0.03125 1.640625 -0.203125 C 1.671875 -0.296875 2.109375 -2.109375 2.1875 -2.375 C 2.25 -2.640625 2.3125 -2.890625 2.375 -3.15625 L 2.515625 -3.671875 C 2.546875 -3.78125 2.875 -4.359375 3.171875 -4.625 C 3.3125 -4.75 3.625 -5.03125 4.109375 -5.03125 C 4.296875 -5.03125 4.5 -5 4.65625 -4.890625 C 4.28125 -4.8125 4.09375 -4.546875 4.09375 -4.296875 C 4.09375 -4 4.3125 -3.90625 4.484375 -3.90625 C 4.8125 -3.90625 5.09375 -4.203125 5.09375 -4.546875 Z M 5.09375 -4.546875 "></path>
</g>
<g id="rgb1.svg-glyph0-5">
<path d="M 8.921875 -8.046875 C 8.921875 -8.15625 8.78125 -8.15625 8.78125 -8.15625 C 8.640625 -8.15625 8.484375 -8.140625 8.34375 -8.140625 L 7.859375 -8.140625 C 7.5 -8.140625 7.140625 -8.15625 6.796875 -8.15625 C 6.71875 -8.15625 6.59375 -8.15625 6.59375 -7.9375 C 6.59375 -7.828125 6.703125 -7.8125 6.734375 -7.8125 C 7.09375 -7.796875 7.09375 -7.609375 7.09375 -7.546875 C 7.09375 -7.40625 7 -7.234375 6.765625 -6.953125 L 3.921875 -3.6875 L 2.5625 -7.328125 C 2.5 -7.5 2.5 -7.546875 2.5 -7.546875 C 2.5 -7.796875 2.984375 -7.8125 3.125 -7.8125 C 3.28125 -7.8125 3.40625 -7.8125 3.40625 -8.03125 C 3.40625 -8.15625 3.296875 -8.15625 3.234375 -8.15625 C 3.03125 -8.15625 2.78125 -8.140625 2.578125 -8.140625 L 1.25 -8.140625 C 1.046875 -8.140625 0.8125 -8.15625 0.609375 -8.15625 C 0.53125 -8.15625 0.390625 -8.15625 0.390625 -7.9375 C 0.390625 -7.8125 0.5 -7.8125 0.6875 -7.8125 C 1.265625 -7.8125 1.375 -7.703125 1.484375 -7.4375 L 2.96875 -3.453125 C 2.96875 -3.421875 3.015625 -3.28125 3.015625 -3.25 C 3.015625 -3.21875 2.421875 -0.859375 2.390625 -0.734375 C 2.296875 -0.421875 2.171875 -0.359375 1.40625 -0.34375 C 1.203125 -0.34375 1.109375 -0.34375 1.109375 -0.125 C 1.109375 0 1.25 0 1.28125 0 C 1.5 0 1.75 -0.03125 1.96875 -0.03125 L 3.375 -0.03125 C 3.59375 -0.03125 3.84375 0 4.0625 0 C 4.140625 0 4.296875 0 4.296875 -0.21875 C 4.296875 -0.34375 4.203125 -0.34375 4 -0.34375 C 3.265625 -0.34375 3.265625 -0.4375 3.265625 -0.5625 C 3.265625 -0.640625 3.359375 -1.03125 3.421875 -1.265625 L 3.84375 -2.984375 C 3.921875 -3.234375 3.921875 -3.265625 4.03125 -3.375 L 7.03125 -6.84375 L 7.296875 -7.109375 C 7.828125 -7.65625 8.265625 -7.78125 8.6875 -7.8125 C 8.828125 -7.828125 8.921875 -7.84375 8.921875 -8.046875 Z M 8.921875 -8.046875 "></path>
</g>
<g id="rgb1.svg-glyph0-6">
<path d="M 8.109375 -2.984375 C 8.109375 -3.0625 8.09375 -3.140625 7.875 -3.234375 L 1.40625 -6.21875 C 1.25 -6.28125 1.203125 -6.296875 1.203125 -6.296875 C 1.0625 -6.296875 0.984375 -6.1875 0.984375 -6.078125 C 0.984375 -5.9375 1.078125 -5.890625 1.234375 -5.828125 L 7.375 -2.984375 L 1.21875 -0.140625 C 0.984375 -0.03125 0.984375 0.046875 0.984375 0.125 C 0.984375 0.21875 1.0625 0.328125 1.203125 0.328125 C 1.203125 0.328125 1.25 0.328125 1.40625 0.25 L 7.875 -2.71875 C 8.109375 -2.828125 8.109375 -2.90625 8.109375 -2.984375 Z M 8.109375 -2.984375 "></path>
</g>
<g id="rgb1.svg-glyph1-0">
<path d=""></path>
</g>
<g id="rgb1.svg-glyph1-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="rgb1.svg-glyph1-2">
<path d="M 8.453125 -2.96875 C 8.453125 -3.203125 8.25 -3.203125 8.0625 -3.203125 L 4.765625 -3.203125 L 4.765625 -6.5 C 4.765625 -6.671875 4.765625 -6.890625 4.546875 -6.890625 C 4.328125 -6.890625 4.328125 -6.6875 4.328125 -6.5 L 4.328125 -3.203125 L 1.03125 -3.203125 C 0.859375 -3.203125 0.640625 -3.203125 0.640625 -2.984375 C 0.640625 -2.765625 0.84375 -2.765625 1.03125 -2.765625 L 4.328125 -2.765625 L 4.328125 0.53125 C 4.328125 0.703125 4.328125 0.921875 4.546875 0.921875 C 4.765625 0.921875 4.765625 0.71875 4.765625 0.53125 L 4.765625 -2.765625 L 8.0625 -2.765625 C 8.234375 -2.765625 8.453125 -2.765625 8.453125 -2.96875 Z M 8.453125 -2.96875 "></path>
</g>
<g id="rgb1.svg-glyph1-3">
<path d="M 3.890625 2.90625 C 3.890625 2.875 3.890625 2.84375 3.6875 2.640625 C 2.484375 1.4375 1.8125 -0.53125 1.8125 -2.96875 C 1.8125 -5.296875 2.375 -7.296875 3.765625 -8.703125 C 3.890625 -8.8125 3.890625 -8.828125 3.890625 -8.875 C 3.890625 -8.9375 3.828125 -8.96875 3.78125 -8.96875 C 3.625 -8.96875 2.640625 -8.109375 2.0625 -6.9375 C 1.453125 -5.71875 1.171875 -4.453125 1.171875 -2.96875 C 1.171875 -1.90625 1.34375 -0.484375 1.953125 0.78125 C 2.671875 2.21875 3.640625 3 3.78125 3 C 3.828125 3 3.890625 2.96875 3.890625 2.90625 Z M 3.890625 2.90625 "></path>
</g>
<g id="rgb1.svg-glyph1-4">
<path d="M 3.375 -2.96875 C 3.375 -3.890625 3.25 -5.359375 2.578125 -6.75 C 1.875 -8.1875 0.890625 -8.96875 0.765625 -8.96875 C 0.71875 -8.96875 0.65625 -8.9375 0.65625 -8.875 C 0.65625 -8.828125 0.65625 -8.8125 0.859375 -8.609375 C 2.0625 -7.40625 2.71875 -5.421875 2.71875 -2.984375 C 2.71875 -0.671875 2.15625 1.328125 0.78125 2.734375 C 0.65625 2.84375 0.65625 2.875 0.65625 2.90625 C 0.65625 2.96875 0.71875 3 0.765625 3 C 0.921875 3 1.90625 2.140625 2.484375 0.96875 C 3.09375 -0.25 3.375 -1.546875 3.375 -2.96875 Z M 3.375 -2.96875 "></path>
</g>
<g id="rgb1.svg-glyph1-5">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="rgb1.svg-glyph2-0">
<path d=""></path>
</g>
<g id="rgb1.svg-glyph2-1">
<path d="M 8.296875 -2.984375 C 8.296875 -3.234375 8.0625 -3.234375 7.90625 -3.234375 L 1.390625 -3.234375 C 1.21875 -3.234375 0.984375 -3.234375 0.984375 -2.984375 C 0.984375 -2.75 1.21875 -2.75 1.390625 -2.75 L 7.90625 -2.75 C 8.0625 -2.75 8.296875 -2.75 8.296875 -2.984375 Z M 8.296875 -2.984375 "></path>
</g>
</g>
</defs>
<g id="rgb1.svg-surface1">
<g>
<use xlink:href="#rgb1.svg-glyph0-1" x="-0.133" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-2" x="9.102392" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-1" x="24.352" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-2" x="84.246" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph2-1" x="91.88" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-3" x="103.835" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-1" x="-0.445" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-4" x="8.790392" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-1" x="24.352" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-4" x="83.935" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph2-1" x="92.192" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-3" x="104.147" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-5" x="2.276" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-1" x="24.352" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-3" x="45.196" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-2" x="53.887" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-3" x="65.646135" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-1" x="70.201" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-2" x="79.436392" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-2" x="87.068" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-1" x="98.83" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-4" x="108.065392" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-4" x="113.664" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-6" x="121.537" y="37.753"></use>
<use xlink:href="#rgb1.svg-glyph0-6" x="130.64208" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-5" x="143.067" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-3" x="3.955" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-1" x="24.352" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-5" x="43.42" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph2-1" x="55.469" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-3" x="67.425" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-1" x="71.977" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-2" x="81.212392" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-2" x="88.844" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-1" x="100.606" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-4" x="109.841392" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-4" x="115.44" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-6" x="123.313" y="52.199"></use>
<use xlink:href="#rgb1.svg-glyph0-6" x="132.41808" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-5" x="144.843" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-4" x="4.172" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-1" x="24.352" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-1" x="79.415" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-4" x="88.650392" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-2" x="96.905" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-3" x="108.667" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-2" x="4.484" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-1" x="24.352" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-1" x="79.726" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-2" x="88.961392" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph1-2" x="96.594" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb1.svg-glyph0-3" x="108.355" y="81.091"></use>
</g>
</g>
</svg><a href="#section-3.7.2-4.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-5" class="selfRef">Figure 5</a></figcaption></figure>
<p id="section-3.7.2-5">Exception for the JPEG2000-RCT conversion: if bits<em>per</em>raw<em>sample is between 9 and 15 inclusive and extra</em>plane is 0, the following formulae for reversible conversions between YCbCr and RGB MUST be used instead of the ones above:<a href="#section-3.7.2-5" class="pilcrow">¶</a></p>
<figure id="figure-6">
<div id="section-3.7.2-6.1">
<div class="artwork art-svg alignLeft" id="section-3.7.2-6.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="151pt" height="84pt" viewBox="0 0 151 84" version="1.1">
<defs>
<g>
<g id="rgb2.svg-glyph0-0">
<path d=""></path>
</g>
<g id="rgb2.svg-glyph0-1">
<path d="M 7.578125 -2.875 C 7.578125 -2.96875 7.484375 -2.96875 7.453125 -2.96875 C 7.34375 -2.96875 7.328125 -2.90625 7.296875 -2.859375 C 6.75 -0.984375 5.140625 -0.09375 3.9375 -0.09375 C 2.671875 -0.09375 1.578125 -0.90625 1.578125 -2.609375 C 1.578125 -2.984375 1.703125 -5.0625 3.046875 -6.640625 C 3.703125 -7.40625 4.828125 -8.0625 5.96875 -8.0625 C 7.28125 -8.0625 7.859375 -6.984375 7.859375 -5.765625 C 7.859375 -5.453125 7.828125 -5.1875 7.828125 -5.140625 C 7.828125 -5.03125 7.953125 -5.03125 7.984375 -5.03125 C 8.109375 -5.03125 8.125 -5.046875 8.171875 -5.265625 L 8.921875 -8.3125 C 8.921875 -8.421875 8.828125 -8.421875 8.828125 -8.421875 C 8.828125 -8.421875 8.75 -8.421875 8.65625 -8.296875 L 7.828125 -7.296875 C 7.40625 -8.015625 6.75 -8.421875 5.859375 -8.421875 C 3.28125 -8.421875 0.59375 -5.796875 0.59375 -2.984375 C 0.59375 -0.984375 2 0.25 3.734375 0.25 C 4.703125 0.25 5.53125 -0.15625 6.234375 -0.734375 C 7.265625 -1.609375 7.578125 -2.765625 7.578125 -2.875 Z M 7.578125 -2.875 "></path>
</g>
<g id="rgb2.svg-glyph0-2">
<path d="M 4.8125 -3.390625 C 4.8125 -4.5 4.203125 -5.265625 3.296875 -5.265625 C 2.671875 -5.265625 2.109375 -4.75 1.890625 -4.515625 L 2.765625 -8 C 2.765625 -8.046875 2.796875 -8.109375 2.796875 -8.171875 C 2.796875 -8.296875 2.65625 -8.296875 2.65625 -8.296875 L 2 -8.234375 C 1.796875 -8.21875 1.609375 -8.203125 1.40625 -8.1875 C 1.109375 -8.15625 1.03125 -8.15625 1.03125 -7.9375 C 1.03125 -7.8125 1.140625 -7.8125 1.265625 -7.8125 C 1.875 -7.8125 1.875 -7.703125 1.875 -7.59375 C 1.875 -7.5 1.78125 -7.15625 1.734375 -6.9375 L 1.453125 -5.796875 L 0.59375 -2.390625 C 0.53125 -2.09375 0.53125 -1.890625 0.53125 -1.734375 C 0.53125 -0.515625 1.21875 0.125 2 0.125 C 3.375 0.125 4.8125 -1.65625 4.8125 -3.390625 Z M 3.40625 -1.34375 C 3.109375 -0.6875 2.5625 -0.125 2.015625 -0.125 C 1.625 -0.125 1.203125 -0.40625 1.203125 -1.34375 C 1.203125 -1.734375 1.25 -1.953125 1.453125 -2.796875 L 1.734375 -3.875 C 1.75 -3.96875 2.46875 -5.03125 3.28125 -5.03125 C 3.796875 -5.03125 4.046875 -4.5 4.046875 -3.890625 C 4.046875 -3.3125 3.703125 -1.953125 3.40625 -1.34375 Z M 3.40625 -1.34375 "></path>
</g>
<g id="rgb2.svg-glyph0-3">
<path d="M 4.046875 -1.515625 C 4 -1.328125 3.96875 -1.28125 3.8125 -1.09375 C 3.328125 -0.46875 2.828125 -0.234375 2.453125 -0.234375 C 2.0625 -0.234375 1.6875 -0.546875 1.6875 -1.375 C 1.6875 -2.015625 2.046875 -3.34375 2.3125 -3.890625 C 2.65625 -4.546875 3.1875 -5.03125 3.6875 -5.03125 C 4.484375 -5.03125 4.640625 -4.046875 4.640625 -3.984375 L 4.609375 -3.8125 Z M 4.21875 0.796875 L 5.546875 -4.546875 C 5.578125 -4.703125 5.578125 -4.75 5.578125 -4.75 C 5.578125 -4.90625 5.453125 -5.046875 5.265625 -5.046875 C 4.984375 -5.046875 4.8125 -4.8125 4.78125 -4.484375 C 4.625 -4.828125 4.296875 -5.265625 3.6875 -5.265625 C 2.390625 -5.265625 0.90625 -3.640625 0.90625 -1.859375 C 0.90625 -0.609375 1.65625 0 2.421875 0 C 3.0625 0 3.625 -0.5 3.84375 -0.734375 C 3.640625 0.0625 3.640625 0.078125 3.578125 0.328125 C 3.40625 0.984375 3.328125 1.296875 2.90625 1.703125 C 2.421875 2.203125 1.953125 2.203125 1.703125 2.203125 C 1.34375 2.203125 1.046875 2.171875 0.734375 2.078125 C 1.125 1.96875 1.21875 1.640625 1.21875 1.5 C 1.21875 1.3125 1.078125 1.125 0.8125 1.125 C 0.53125 1.125 0.21875 1.359375 0.21875 1.75 C 0.21875 2.25 0.703125 2.4375 1.71875 2.4375 C 3.265625 2.4375 4.0625 1.453125 4.21875 0.796875 Z M 4.21875 0.796875 "></path>
</g>
<g id="rgb2.svg-glyph0-4">
<path d="M 5.09375 -4.546875 C 5.09375 -4.9375 4.71875 -5.265625 4.125 -5.265625 C 3.640625 -5.265625 3.09375 -5.0625 2.59375 -4.328125 C 2.515625 -4.953125 2.03125 -5.265625 1.546875 -5.265625 C 1.09375 -5.265625 0.84375 -4.90625 0.703125 -4.65625 C 0.5 -4.21875 0.328125 -3.5 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.8125 -5.03125 1.890625 -4.828125 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.5625 0.03125 1.640625 -0.203125 C 1.671875 -0.296875 2.109375 -2.109375 2.1875 -2.375 C 2.25 -2.640625 2.3125 -2.890625 2.375 -3.15625 L 2.515625 -3.671875 C 2.546875 -3.78125 2.875 -4.359375 3.171875 -4.625 C 3.3125 -4.75 3.625 -5.03125 4.109375 -5.03125 C 4.296875 -5.03125 4.5 -5 4.65625 -4.890625 C 4.28125 -4.8125 4.09375 -4.546875 4.09375 -4.296875 C 4.09375 -4 4.3125 -3.90625 4.484375 -3.90625 C 4.8125 -3.90625 5.09375 -4.203125 5.09375 -4.546875 Z M 5.09375 -4.546875 "></path>
</g>
<g id="rgb2.svg-glyph0-5">
<path d="M 8.921875 -8.046875 C 8.921875 -8.15625 8.78125 -8.15625 8.78125 -8.15625 C 8.640625 -8.15625 8.484375 -8.140625 8.34375 -8.140625 L 7.859375 -8.140625 C 7.5 -8.140625 7.140625 -8.15625 6.796875 -8.15625 C 6.71875 -8.15625 6.59375 -8.15625 6.59375 -7.9375 C 6.59375 -7.828125 6.703125 -7.8125 6.734375 -7.8125 C 7.09375 -7.796875 7.09375 -7.609375 7.09375 -7.546875 C 7.09375 -7.40625 7 -7.234375 6.765625 -6.953125 L 3.921875 -3.6875 L 2.5625 -7.328125 C 2.5 -7.5 2.5 -7.546875 2.5 -7.546875 C 2.5 -7.796875 2.984375 -7.8125 3.125 -7.8125 C 3.28125 -7.8125 3.40625 -7.8125 3.40625 -8.03125 C 3.40625 -8.15625 3.296875 -8.15625 3.234375 -8.15625 C 3.03125 -8.15625 2.78125 -8.140625 2.578125 -8.140625 L 1.25 -8.140625 C 1.046875 -8.140625 0.8125 -8.15625 0.609375 -8.15625 C 0.53125 -8.15625 0.390625 -8.15625 0.390625 -7.9375 C 0.390625 -7.8125 0.5 -7.8125 0.6875 -7.8125 C 1.265625 -7.8125 1.375 -7.703125 1.484375 -7.4375 L 2.96875 -3.453125 C 2.96875 -3.421875 3.015625 -3.28125 3.015625 -3.25 C 3.015625 -3.21875 2.421875 -0.859375 2.390625 -0.734375 C 2.296875 -0.421875 2.171875 -0.359375 1.40625 -0.34375 C 1.203125 -0.34375 1.109375 -0.34375 1.109375 -0.125 C 1.109375 0 1.25 0 1.28125 0 C 1.5 0 1.75 -0.03125 1.96875 -0.03125 L 3.375 -0.03125 C 3.59375 -0.03125 3.84375 0 4.0625 0 C 4.140625 0 4.296875 0 4.296875 -0.21875 C 4.296875 -0.34375 4.203125 -0.34375 4 -0.34375 C 3.265625 -0.34375 3.265625 -0.4375 3.265625 -0.5625 C 3.265625 -0.640625 3.359375 -1.03125 3.421875 -1.265625 L 3.84375 -2.984375 C 3.921875 -3.234375 3.921875 -3.265625 4.03125 -3.375 L 7.03125 -6.84375 L 7.296875 -7.109375 C 7.828125 -7.65625 8.265625 -7.78125 8.6875 -7.8125 C 8.828125 -7.828125 8.921875 -7.84375 8.921875 -8.046875 Z M 8.921875 -8.046875 "></path>
</g>
<g id="rgb2.svg-glyph0-6">
<path d="M 8.109375 -2.984375 C 8.109375 -3.0625 8.09375 -3.140625 7.875 -3.234375 L 1.40625 -6.21875 C 1.25 -6.28125 1.203125 -6.296875 1.203125 -6.296875 C 1.0625 -6.296875 0.984375 -6.1875 0.984375 -6.078125 C 0.984375 -5.9375 1.078125 -5.890625 1.234375 -5.828125 L 7.375 -2.984375 L 1.21875 -0.140625 C 0.984375 -0.03125 0.984375 0.046875 0.984375 0.125 C 0.984375 0.21875 1.0625 0.328125 1.203125 0.328125 C 1.203125 0.328125 1.25 0.328125 1.40625 0.25 L 7.875 -2.71875 C 8.109375 -2.828125 8.109375 -2.90625 8.109375 -2.984375 Z M 8.109375 -2.984375 "></path>
</g>
<g id="rgb2.svg-glyph1-0">
<path d=""></path>
</g>
<g id="rgb2.svg-glyph1-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="rgb2.svg-glyph1-2">
<path d="M 8.453125 -2.96875 C 8.453125 -3.203125 8.25 -3.203125 8.0625 -3.203125 L 4.765625 -3.203125 L 4.765625 -6.5 C 4.765625 -6.671875 4.765625 -6.890625 4.546875 -6.890625 C 4.328125 -6.890625 4.328125 -6.6875 4.328125 -6.5 L 4.328125 -3.203125 L 1.03125 -3.203125 C 0.859375 -3.203125 0.640625 -3.203125 0.640625 -2.984375 C 0.640625 -2.765625 0.84375 -2.765625 1.03125 -2.765625 L 4.328125 -2.765625 L 4.328125 0.53125 C 4.328125 0.703125 4.328125 0.921875 4.546875 0.921875 C 4.765625 0.921875 4.765625 0.71875 4.765625 0.53125 L 4.765625 -2.765625 L 8.0625 -2.765625 C 8.234375 -2.765625 8.453125 -2.765625 8.453125 -2.96875 Z M 8.453125 -2.96875 "></path>
</g>
<g id="rgb2.svg-glyph1-3">
<path d="M 3.890625 2.90625 C 3.890625 2.875 3.890625 2.84375 3.6875 2.640625 C 2.484375 1.4375 1.8125 -0.53125 1.8125 -2.96875 C 1.8125 -5.296875 2.375 -7.296875 3.765625 -8.703125 C 3.890625 -8.8125 3.890625 -8.828125 3.890625 -8.875 C 3.890625 -8.9375 3.828125 -8.96875 3.78125 -8.96875 C 3.625 -8.96875 2.640625 -8.109375 2.0625 -6.9375 C 1.453125 -5.71875 1.171875 -4.453125 1.171875 -2.96875 C 1.171875 -1.90625 1.34375 -0.484375 1.953125 0.78125 C 2.671875 2.21875 3.640625 3 3.78125 3 C 3.828125 3 3.890625 2.96875 3.890625 2.90625 Z M 3.890625 2.90625 "></path>
</g>
<g id="rgb2.svg-glyph1-4">
<path d="M 3.375 -2.96875 C 3.375 -3.890625 3.25 -5.359375 2.578125 -6.75 C 1.875 -8.1875 0.890625 -8.96875 0.765625 -8.96875 C 0.71875 -8.96875 0.65625 -8.9375 0.65625 -8.875 C 0.65625 -8.828125 0.65625 -8.8125 0.859375 -8.609375 C 2.0625 -7.40625 2.71875 -5.421875 2.71875 -2.984375 C 2.71875 -0.671875 2.15625 1.328125 0.78125 2.734375 C 0.65625 2.84375 0.65625 2.875 0.65625 2.90625 C 0.65625 2.96875 0.71875 3 0.765625 3 C 0.921875 3 1.90625 2.140625 2.484375 0.96875 C 3.09375 -0.25 3.375 -1.546875 3.375 -2.96875 Z M 3.375 -2.96875 "></path>
</g>
<g id="rgb2.svg-glyph1-5">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="rgb2.svg-glyph2-0">
<path d=""></path>
</g>
<g id="rgb2.svg-glyph2-1">
<path d="M 8.296875 -2.984375 C 8.296875 -3.234375 8.0625 -3.234375 7.90625 -3.234375 L 1.390625 -3.234375 C 1.21875 -3.234375 0.984375 -3.234375 0.984375 -2.984375 C 0.984375 -2.75 1.21875 -2.75 1.390625 -2.75 L 7.90625 -2.75 C 8.0625 -2.75 8.296875 -2.75 8.296875 -2.984375 Z M 8.296875 -2.984375 "></path>
</g>
</g>
</defs>
<g id="rgb2.svg-surface1">
<g>
<use xlink:href="#rgb2.svg-glyph0-1" x="-0.133" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="9.102392" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-1" x="24.352" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-3" x="84.246" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph2-1" x="92.937" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="104.892" y="8.862"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-1" x="-0.445" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-4" x="8.790392" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-1" x="24.352" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-4" x="84.463" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph2-1" x="92.72" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="104.675" y="23.308"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-5" x="2.276" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-1" x="24.352" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="45.724" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-2" x="53.358" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-3" x="65.117135" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-1" x="69.672" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="78.907392" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-2" x="86.539" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-1" x="98.301" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-4" x="107.536392" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-4" x="113.135" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-6" x="121.008" y="37.753"></use>
<use xlink:href="#rgb2.svg-glyph0-6" x="130.11308" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-5" x="142.538" y="37.753"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="4.484" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-1" x="24.352" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-5" x="43.42" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph2-1" x="55.469" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-3" x="67.425" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-1" x="71.977" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="81.212392" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-2" x="88.844" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-1" x="100.606" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-4" x="109.841392" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-4" x="115.44" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-6" x="123.313" y="52.199"></use>
<use xlink:href="#rgb2.svg-glyph0-6" x="132.41808" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-5" x="144.843" y="52.199"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-4" x="4.172" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-1" x="24.352" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-1" x="79.943" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-4" x="89.178392" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-2" x="97.434" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="109.195" y="66.645"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-3" x="3.955" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-1" x="24.352" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-1" x="80.255" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="89.490392" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph1-2" x="97.122" y="81.091"></use>
</g>
<g>
<use xlink:href="#rgb2.svg-glyph0-2" x="108.884" y="81.091"></use>
</g>
</g>
</svg><a href="#section-3.7.2-6.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-6" class="selfRef">Figure 6</a></figcaption></figure>
<p id="section-3.7.2-7">Background: At the time of this writing, in all known implementations of FFV1 bitstream, when bits<em>per</em>raw<em>sample was between 9 and 15 inclusive and extra</em>plane is 0, GBR <code>Planes</code> were used as BGR <code>Planes</code> during both encoding and decoding. In the meanwhile, 16-bit JPEG2000-RCT was implemented without this issue in one implementation and validated by one conformance checker. Methods to address this exception for the transform are under consideration for the next version of the FFV1 bitstream.<a href="#section-3.7.2-7" class="pilcrow">¶</a></p>
<p id="section-3.7.2-8">When FFV1 uses the JPEG2000-RCT, the horizontal <code>Lines</code> are interleaved to improve caching efficiency since it is most likely that the JPEG2000-RCT will immediately be converted to RGB during decoding. The interleaved coding order is also Y, then Cb, then Cr, and then if used transparency.<a href="#section-3.7.2-8" class="pilcrow">¶</a></p>
<p id="section-3.7.2-9">As an example, a <code>Frame</code> that is two <code>Pixels</code> wide and two <code>Pixels</code> high, could comprise the following structure:<a href="#section-3.7.2-9" class="pilcrow">¶</a></p>
<div class="artwork art-text alignLeft art-ascii-art" id="section-3.7.2-10">
<pre>+------------------------+------------------------+
| Pixel(1,1) | Pixel(2,1) |
| Y(1,1) Cb(1,1) Cr(1,1) | Y(2,1) Cb(2,1) Cr(2,1) |
+------------------------+------------------------+
| Pixel(1,2) | Pixel(2,2) |
| Y(1,2) Cb(1,2) Cr(1,2) | Y(2,2) Cb(2,2) Cr(2,2) |
+------------------------+------------------------+
</pre><a href="#section-3.7.2-10" class="pilcrow">¶</a>
</div>
<p id="section-3.7.2-11">In JPEG2000-RCT, the coding order would be left to right and then top to bottom, with values interleaved by <code>Lines</code> and stored in this order:<a href="#section-3.7.2-11" class="pilcrow">¶</a></p>
<p id="section-3.7.2-12">Y(1,1) Y(2,1) Cb(1,1) Cb(2,1) Cr(1,1) Cr(2,1) Y(1,2) Y(2,2) Cb(1,2) Cb(2,2) Cr(1,2) Cr(2,2)<a href="#section-3.7.2-12" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
<div id="coding-of-the-sample-difference">
<section id="section-3.8">
<h3 id="name-coding-of-the-sample-differ">
<a href="#section-3.8" class="section-number selfRef">3.8. </a><a href="#name-coding-of-the-sample-differ" class="section-name selfRef">Coding of the Sample Difference</a>
</h3>
<p id="section-3.8-1">Instead of coding the n+1 bits of the Sample Difference with Huffman or Range coding (or n+2 bits, in the case of JPEG2000-RCT), only the n (or n+1, in the case of JPEG2000-RCT) least significant bits are used, since this is sufficient to recover the original <code>Sample</code>. In the equation below, the term "bits" represents bits<em>per</em>raw<em>sample+1 for JPEG2000-RCT or bits</em>per<em>raw</em>sample otherwise:<a href="#section-3.8-1" class="pilcrow">¶</a></p>
<figure id="figure-7">
<div id="section-3.8-2.1">
<div class="artwork art-svg alignLeft" id="section-3.8-2.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="348pt" height="15pt" viewBox="0 0 348 15" version="1.1">
<defs>
<g>
<g id="samplediff.svg-glyph0-0">
<path d=""></path>
</g>
<g id="samplediff.svg-glyph0-1">
<path d="M 5 -1.296875 C 5 -1.375 4.921875 -1.4375 4.875 -1.4375 C 4.84375 -1.4375 4.828125 -1.421875 4.71875 -1.3125 C 3.953125 -0.296875 2.828125 -0.125 2.359375 -0.125 C 1.546875 -0.125 1.28125 -0.84375 1.28125 -1.4375 C 1.28125 -1.859375 1.484375 -3.015625 1.90625 -3.828125 C 2.21875 -4.390625 2.875 -5.03125 3.625 -5.03125 C 3.78125 -5.03125 4.4375 -5.015625 4.671875 -4.5 C 4.453125 -4.5 4.34375 -4.5 4.171875 -4.34375 C 4.09375 -4.296875 3.96875 -4.109375 3.96875 -3.921875 C 3.96875 -3.6875 4.140625 -3.53125 4.375 -3.53125 C 4.65625 -3.53125 4.984375 -3.78125 4.984375 -4.25 C 4.984375 -4.828125 4.4375 -5.265625 3.609375 -5.265625 C 2.046875 -5.265625 0.484375 -3.5625 0.484375 -1.859375 C 0.484375 -0.828125 1.125 0.125 2.34375 0.125 C 3.96875 0.125 5 -1.140625 5 -1.296875 Z M 5 -1.296875 "></path>
</g>
<g id="samplediff.svg-glyph0-2">
<path d="M 5.453125 -3.28125 C 5.453125 -4.421875 4.703125 -5.265625 3.625 -5.265625 C 2.046875 -5.265625 0.484375 -3.546875 0.484375 -1.859375 C 0.484375 -0.734375 1.234375 0.125 2.3125 0.125 C 3.90625 0.125 5.453125 -1.609375 5.453125 -3.28125 Z M 4.65625 -3.71875 C 4.65625 -3.234375 4.40625 -1.953125 3.9375 -1.234375 C 3.453125 -0.4375 2.796875 -0.125 2.328125 -0.125 C 1.734375 -0.125 1.296875 -0.59375 1.296875 -1.4375 C 1.296875 -1.984375 1.578125 -3.203125 1.90625 -3.796875 C 2.453125 -4.71875 3.125 -5.03125 3.609375 -5.03125 C 4.203125 -5.03125 4.65625 -4.546875 4.65625 -3.71875 Z M 4.65625 -3.71875 "></path>
</g>
<g id="samplediff.svg-glyph0-3">
<path d="M 5.796875 -1.703125 C 5.796875 -1.765625 5.75 -1.8125 5.671875 -1.8125 C 5.5625 -1.8125 5.5625 -1.75 5.515625 -1.578125 C 5.328125 -0.875 5.109375 -0.125 4.609375 -0.125 C 4.265625 -0.125 4.25 -0.4375 4.25 -0.671875 C 4.25 -0.71875 4.25 -0.96875 4.328125 -1.296875 L 6.015625 -8 C 6.03125 -8.046875 6.046875 -8.109375 6.046875 -8.171875 C 6.046875 -8.296875 5.90625 -8.296875 5.90625 -8.296875 C 5.90625 -8.296875 5.3125 -8.25 5.25 -8.234375 C 5.046875 -8.21875 4.859375 -8.203125 4.65625 -8.1875 C 4.34375 -8.15625 4.265625 -8.15625 4.265625 -7.9375 C 4.265625 -7.8125 4.359375 -7.8125 4.53125 -7.8125 C 5.109375 -7.8125 5.125 -7.703125 5.125 -7.59375 C 5.125 -7.515625 5.109375 -7.421875 5.09375 -7.390625 L 4.359375 -4.484375 C 4.234375 -4.796875 3.90625 -5.265625 3.28125 -5.265625 C 1.9375 -5.265625 0.484375 -3.53125 0.484375 -1.75 C 0.484375 -0.578125 1.171875 0.125 1.984375 0.125 C 2.640625 0.125 3.203125 -0.390625 3.53125 -0.78125 C 3.65625 -0.078125 4.21875 0.125 4.578125 0.125 C 4.9375 0.125 5.21875 -0.09375 5.4375 -0.53125 C 5.625 -0.9375 5.796875 -1.65625 5.796875 -1.703125 Z M 3.59375 -1.421875 C 3.53125 -1.21875 3.53125 -1.1875 3.375 -0.96875 C 3.109375 -0.640625 2.578125 -0.125 2.015625 -0.125 C 1.53125 -0.125 1.25 -0.5625 1.25 -1.265625 C 1.25 -1.921875 1.625 -3.265625 1.859375 -3.765625 C 2.265625 -4.609375 2.828125 -5.03125 3.28125 -5.03125 C 4.078125 -5.03125 4.234375 -4.046875 4.234375 -3.953125 C 4.234375 -3.953125 4.203125 -3.796875 4.1875 -3.765625 Z M 3.59375 -1.421875 "></path>
</g>
<g id="samplediff.svg-glyph0-4">
<path d="M 5 -1.296875 C 5 -1.375 4.921875 -1.4375 4.875 -1.4375 C 4.84375 -1.4375 4.828125 -1.421875 4.71875 -1.3125 C 3.953125 -0.296875 2.828125 -0.125 2.359375 -0.125 C 1.6875 -0.125 1.328125 -0.65625 1.328125 -1.546875 C 1.328125 -1.703125 1.328125 -2.015625 1.5 -2.765625 L 2.140625 -2.765625 C 2.46875 -2.765625 3.28125 -2.796875 3.84375 -3.015625 C 4.75 -3.359375 4.84375 -4.046875 4.84375 -4.265625 C 4.84375 -4.796875 4.390625 -5.265625 3.59375 -5.265625 C 2.34375 -5.265625 0.53125 -4.140625 0.53125 -2.015625 C 0.53125 -0.75 1.25 0.125 2.34375 0.125 C 3.96875 0.125 5 -1.140625 5 -1.296875 Z M 4.484375 -4.265625 C 4.484375 -3.015625 2.5625 -3.015625 2.0625 -3.015625 L 1.5625 -3.015625 C 2.078125 -4.859375 3.21875 -5.03125 3.59375 -5.03125 C 4.125 -5.03125 4.484375 -4.71875 4.484375 -4.265625 Z M 4.484375 -4.265625 "></path>
</g>
<g id="samplediff.svg-glyph0-5">
<path d="M 5.09375 -4.546875 C 5.09375 -4.9375 4.71875 -5.265625 4.125 -5.265625 C 3.640625 -5.265625 3.09375 -5.0625 2.59375 -4.328125 C 2.515625 -4.953125 2.03125 -5.265625 1.546875 -5.265625 C 1.09375 -5.265625 0.84375 -4.90625 0.703125 -4.65625 C 0.5 -4.21875 0.328125 -3.5 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.8125 -5.03125 1.890625 -4.828125 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.5625 0.03125 1.640625 -0.203125 C 1.671875 -0.296875 2.109375 -2.109375 2.1875 -2.375 C 2.25 -2.640625 2.3125 -2.890625 2.375 -3.15625 L 2.515625 -3.671875 C 2.546875 -3.78125 2.875 -4.359375 3.171875 -4.625 C 3.3125 -4.75 3.625 -5.03125 4.109375 -5.03125 C 4.296875 -5.03125 4.5 -5 4.65625 -4.890625 C 4.28125 -4.8125 4.09375 -4.546875 4.09375 -4.296875 C 4.09375 -4 4.3125 -3.90625 4.484375 -3.90625 C 4.8125 -3.90625 5.09375 -4.203125 5.09375 -4.546875 Z M 5.09375 -4.546875 "></path>
</g>
<g id="samplediff.svg-glyph0-6">
<path d="M 3.375 -1.703125 C 3.375 -1.765625 3.328125 -1.8125 3.265625 -1.8125 C 3.15625 -1.8125 3.140625 -1.78125 3.078125 -1.578125 C 2.765625 -0.484375 2.28125 -0.125 1.890625 -0.125 C 1.75 -0.125 1.578125 -0.15625 1.578125 -0.515625 C 1.578125 -0.84375 1.71875 -1.1875 1.859375 -1.546875 L 2.6875 -3.78125 C 2.71875 -3.875 2.8125 -4.09375 2.8125 -4.3125 C 2.8125 -4.8125 2.453125 -5.265625 1.859375 -5.265625 C 0.765625 -5.265625 0.328125 -3.53125 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.5625 -3.328125 0.578125 -3.375 0.625 -3.546875 C 0.90625 -4.546875 1.359375 -5.03125 1.828125 -5.03125 C 1.9375 -5.03125 2.140625 -5.015625 2.140625 -4.640625 C 2.140625 -4.328125 1.984375 -3.9375 1.890625 -3.671875 C 1.453125 -2.5625 1.453125 -2.53125 1.046875 -1.453125 C 0.984375 -1.25 0.90625 -1.0625 0.90625 -0.84375 C 0.90625 -0.3125 1.28125 0.125 1.859375 0.125 C 2.953125 0.125 3.375 -1.625 3.375 -1.703125 Z M 3.28125 -7.453125 C 3.28125 -7.640625 3.140625 -7.859375 2.875 -7.859375 C 2.609375 -7.859375 2.296875 -7.59375 2.296875 -7.28125 C 2.296875 -6.984375 2.546875 -6.890625 2.6875 -6.890625 C 3.015625 -6.890625 3.28125 -7.203125 3.28125 -7.453125 Z M 3.28125 -7.453125 "></path>
</g>
<g id="samplediff.svg-glyph0-7">
<path d="M 6.640625 -1.703125 C 6.640625 -1.765625 6.59375 -1.8125 6.515625 -1.8125 C 6.40625 -1.8125 6.390625 -1.78125 6.328125 -1.578125 C 6.0625 -0.59375 5.609375 -0.125 5.140625 -0.125 C 5.015625 -0.125 4.828125 -0.125 4.828125 -0.515625 C 4.828125 -0.8125 4.953125 -1.171875 5.03125 -1.34375 C 5.265625 -2 5.765625 -3.328125 5.765625 -4.015625 C 5.765625 -4.734375 5.359375 -5.265625 4.453125 -5.265625 C 3.375 -5.265625 2.828125 -4.515625 2.609375 -4.21875 C 2.5625 -4.90625 2.078125 -5.265625 1.546875 -5.265625 C 1.171875 -5.265625 0.90625 -5.046875 0.703125 -4.640625 C 0.484375 -4.203125 0.328125 -3.484375 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.828125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.796875 -5.03125 1.890625 -4.84375 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.515625 0.046875 1.609375 -0.125 C 1.640625 -0.1875 1.75 -0.609375 1.8125 -0.84375 L 2.0625 -1.921875 L 2.46875 -3.5 C 2.484375 -3.578125 2.78125 -4.171875 3.234375 -4.546875 C 3.53125 -4.84375 3.9375 -5.03125 4.40625 -5.03125 C 4.890625 -5.03125 5.0625 -4.671875 5.0625 -4.203125 C 5.0625 -3.515625 4.5625 -2.15625 4.328125 -1.5 C 4.21875 -1.21875 4.15625 -1.0625 4.15625 -0.84375 C 4.15625 -0.3125 4.53125 0.125 5.109375 0.125 C 6.21875 0.125 6.640625 -1.640625 6.640625 -1.703125 Z M 6.640625 -1.703125 "></path>
</g>
<g id="samplediff.svg-glyph0-8">
<path d="M 5.71875 -3.390625 C 5.71875 -4.5 5.09375 -5.265625 4.203125 -5.265625 C 3.4375 -5.265625 2.78125 -4.53125 2.65625 -4.359375 C 2.5625 -4.953125 2.09375 -5.265625 1.609375 -5.265625 C 1.265625 -5.265625 0.984375 -5.109375 0.765625 -4.65625 C 0.546875 -4.21875 0.375 -3.484375 0.375 -3.4375 C 0.375 -3.390625 0.4375 -3.328125 0.515625 -3.328125 C 0.609375 -3.328125 0.625 -3.34375 0.6875 -3.625 C 0.875 -4.328125 1.09375 -5.03125 1.578125 -5.03125 C 1.859375 -5.03125 1.953125 -4.84375 1.953125 -4.484375 C 1.953125 -4.203125 1.90625 -4.078125 1.859375 -3.859375 L 0.515625 1.515625 C 0.4375 1.875 0.375 1.96875 -0.109375 1.96875 C -0.25 1.96875 -0.375 1.96875 -0.375 2.203125 C -0.375 2.203125 -0.359375 2.3125 -0.234375 2.3125 C -0.078125 2.3125 0.09375 2.296875 0.25 2.296875 L 0.765625 2.296875 L 1.875 2.3125 C 1.953125 2.3125 2.09375 2.3125 2.09375 2.109375 C 2.09375 1.96875 2.015625 1.96875 1.8125 1.96875 C 1.25 1.96875 1.21875 1.890625 1.21875 1.796875 C 1.21875 1.65625 1.75 -0.40625 1.828125 -0.6875 C 1.953125 -0.34375 2.28125 0.125 2.90625 0.125 C 4.25 0.125 5.71875 -1.640625 5.71875 -3.390625 Z M 4.296875 -1.34375 C 4 -0.6875 3.453125 -0.125 2.90625 -0.125 C 2.09375 -0.125 1.953125 -1.140625 1.953125 -1.1875 C 1.953125 -1.234375 1.984375 -1.328125 2 -1.390625 L 2.578125 -3.734375 C 2.671875 -4.0625 3 -4.40625 3.1875 -4.578125 C 3.328125 -4.703125 3.71875 -5.03125 4.171875 -5.03125 C 4.703125 -5.03125 4.9375 -4.5 4.9375 -3.890625 C 4.9375 -3.3125 4.609375 -1.953125 4.296875 -1.34375 Z M 4.296875 -1.34375 "></path>
</g>
<g id="samplediff.svg-glyph0-9">
<path d="M 6.3125 -1.703125 C 6.3125 -1.765625 6.265625 -1.8125 6.1875 -1.8125 C 6.078125 -1.8125 6.078125 -1.75 6.03125 -1.578125 C 5.8125 -0.75 5.59375 -0.125 5.109375 -0.125 C 4.75 -0.125 4.75 -0.515625 4.75 -0.671875 C 4.75 -0.9375 4.796875 -1.0625 4.90625 -1.5625 L 5.15625 -2.546875 L 5.640625 -4.5 C 5.71875 -4.796875 5.71875 -4.8125 5.71875 -4.859375 C 5.71875 -5.03125 5.578125 -5.15625 5.40625 -5.15625 C 5.0625 -5.15625 4.96875 -4.859375 4.90625 -4.546875 L 4.046875 -1.09375 C 4.046875 -1.09375 3.578125 -0.125 2.703125 -0.125 C 2.078125 -0.125 1.953125 -0.65625 1.953125 -1.09375 C 1.953125 -1.78125 2.296875 -2.734375 2.609375 -3.53125 C 2.75 -3.921875 2.8125 -4.078125 2.8125 -4.3125 C 2.8125 -4.828125 2.4375 -5.265625 1.859375 -5.265625 C 0.765625 -5.265625 0.328125 -3.53125 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.5625 -3.328125 0.578125 -3.375 0.625 -3.546875 C 0.90625 -4.578125 1.375 -5.03125 1.828125 -5.03125 C 1.953125 -5.03125 2.140625 -5.015625 2.140625 -4.640625 C 2.140625 -4.328125 2.015625 -3.984375 1.828125 -3.53125 C 1.296875 -2.109375 1.25 -1.65625 1.25 -1.296875 C 1.25 -0.078125 2.15625 0.125 2.65625 0.125 C 3.421875 0.125 3.84375 -0.40625 4.078125 -0.6875 C 4.234375 -0.03125 4.8125 0.125 5.09375 0.125 C 5.46875 0.125 5.765625 -0.125 5.953125 -0.53125 C 6.15625 -0.96875 6.3125 -1.671875 6.3125 -1.703125 Z M 6.3125 -1.703125 "></path>
</g>
<g id="samplediff.svg-glyph0-10">
<path d="M 3.640625 -1.703125 C 3.640625 -1.78125 3.578125 -1.8125 3.515625 -1.8125 C 3.515625 -1.8125 3.4375 -1.8125 3.421875 -1.765625 C 3.421875 -1.765625 3.390625 -1.75 3.3125 -1.546875 C 3.0625 -0.953125 2.515625 -0.125 1.8125 -0.125 C 1.453125 -0.125 1.4375 -0.421875 1.4375 -0.6875 C 1.4375 -0.6875 1.4375 -0.921875 1.46875 -1.0625 L 2.40625 -4.8125 L 3.5 -4.8125 C 3.734375 -4.8125 3.84375 -4.8125 3.84375 -5.015625 C 3.84375 -5.15625 3.78125 -5.15625 3.53125 -5.15625 L 2.484375 -5.15625 L 2.921875 -6.890625 C 2.96875 -7.0625 2.96875 -7.09375 2.96875 -7.171875 C 2.96875 -7.359375 2.828125 -7.46875 2.671875 -7.46875 C 2.5625 -7.46875 2.296875 -7.4375 2.203125 -7.046875 L 1.734375 -5.15625 L 0.609375 -5.15625 C 0.375 -5.15625 0.265625 -5.15625 0.265625 -4.921875 C 0.265625 -4.8125 0.34375 -4.8125 0.578125 -4.8125 L 1.640625 -4.8125 L 0.84375 -1.65625 C 0.75 -1.234375 0.71875 -1.109375 0.71875 -0.953125 C 0.71875 -0.390625 1.109375 0.125 1.78125 0.125 C 2.984375 0.125 3.640625 -1.625 3.640625 -1.703125 Z M 3.640625 -1.703125 "></path>
</g>
<g id="samplediff.svg-glyph0-11">
<path d="M 4.640625 -1.84375 C 4.640625 -2.015625 4.640625 -2.359375 4.25 -2.734375 C 3.953125 -3.03125 3.671875 -3.078125 3.03125 -3.21875 C 2.703125 -3.28125 2.1875 -3.390625 2.1875 -3.9375 C 2.1875 -4.171875 2.40625 -5.03125 3.53125 -5.03125 C 4.046875 -5.03125 4.53125 -4.84375 4.65625 -4.40625 C 4.125 -4.40625 4.09375 -3.9375 4.09375 -3.9375 C 4.09375 -3.6875 4.328125 -3.625 4.4375 -3.625 C 4.609375 -3.625 4.9375 -3.75 4.9375 -4.25 C 4.9375 -4.75 4.484375 -5.265625 3.546875 -5.265625 C 1.984375 -5.265625 1.5625 -4.046875 1.5625 -3.546875 C 1.5625 -2.640625 2.453125 -2.453125 2.71875 -2.390625 C 2.921875 -2.359375 3.25 -2.28125 3.328125 -2.265625 C 3.484375 -2.21875 4.015625 -2.03125 4.015625 -1.453125 C 4.015625 -1.09375 3.6875 -0.125 2.296875 -0.125 C 2.046875 -0.125 1.140625 -0.15625 0.90625 -0.8125 C 1.390625 -0.75 1.625 -1.125 1.625 -1.390625 C 1.625 -1.640625 1.453125 -1.765625 1.21875 -1.765625 C 0.953125 -1.765625 0.609375 -1.5625 0.609375 -1.03125 C 0.609375 -0.328125 1.328125 0.125 2.28125 0.125 C 4.09375 0.125 4.640625 -1.21875 4.640625 -1.84375 Z M 4.640625 -1.84375 "></path>
</g>
<g id="samplediff.svg-glyph0-12">
<path d="M 3.59375 -1.421875 C 3.53125 -1.21875 3.53125 -1.1875 3.375 -0.96875 C 3.109375 -0.640625 2.578125 -0.125 2.015625 -0.125 C 1.53125 -0.125 1.25 -0.5625 1.25 -1.265625 C 1.25 -1.921875 1.625 -3.265625 1.859375 -3.765625 C 2.265625 -4.609375 2.828125 -5.03125 3.28125 -5.03125 C 4.078125 -5.03125 4.234375 -4.046875 4.234375 -3.953125 C 4.234375 -3.953125 4.203125 -3.796875 4.1875 -3.765625 Z M 5.796875 -1.703125 C 5.796875 -1.765625 5.75 -1.8125 5.671875 -1.8125 C 5.5625 -1.8125 5.5625 -1.75 5.515625 -1.578125 C 5.328125 -0.875 5.109375 -0.125 4.609375 -0.125 C 4.265625 -0.125 4.25 -0.4375 4.25 -0.671875 C 4.25 -0.9375 4.28125 -1.078125 4.390625 -1.546875 L 4.625 -2.453125 C 5.0625 -4.25 5.171875 -4.671875 5.171875 -4.75 C 5.171875 -4.90625 5.046875 -5.046875 4.859375 -5.046875 C 4.484375 -5.046875 4.390625 -4.625 4.359375 -4.484375 C 4.234375 -4.796875 3.90625 -5.265625 3.28125 -5.265625 C 1.9375 -5.265625 0.484375 -3.53125 0.484375 -1.75 C 0.484375 -0.578125 1.171875 0.125 1.984375 0.125 C 2.640625 0.125 3.203125 -0.390625 3.53125 -0.78125 C 3.65625 -0.078125 4.21875 0.125 4.578125 0.125 C 4.9375 0.125 5.21875 -0.09375 5.4375 -0.53125 C 5.625 -0.9375 5.796875 -1.65625 5.796875 -1.703125 Z M 5.796875 -1.703125 "></path>
</g>
<g id="samplediff.svg-glyph0-13">
<path d="M 9.890625 -1.703125 C 9.890625 -1.765625 9.84375 -1.8125 9.765625 -1.8125 C 9.65625 -1.8125 9.640625 -1.78125 9.59375 -1.578125 C 9.3125 -0.625 8.875 -0.125 8.390625 -0.125 C 8.265625 -0.125 8.078125 -0.125 8.078125 -0.515625 C 8.078125 -0.828125 8.21875 -1.203125 8.265625 -1.34375 C 8.484375 -1.90625 9.03125 -3.328125 9.03125 -4.015625 C 9.03125 -4.734375 8.609375 -5.265625 7.703125 -5.265625 C 6.890625 -5.265625 6.25 -4.8125 5.765625 -4.109375 C 5.734375 -4.75 5.34375 -5.265625 4.453125 -5.265625 C 3.375 -5.265625 2.828125 -4.515625 2.609375 -4.21875 C 2.5625 -4.90625 2.078125 -5.265625 1.546875 -5.265625 C 1.203125 -5.265625 0.9375 -5.109375 0.703125 -4.65625 C 0.484375 -4.21875 0.328125 -3.484375 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.328125 1.046875 -5.03125 1.515625 -5.03125 C 1.796875 -5.03125 1.890625 -4.84375 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.515625 0.046875 1.609375 -0.125 C 1.640625 -0.1875 1.75 -0.609375 1.8125 -0.84375 L 2.0625 -1.921875 L 2.46875 -3.5 C 2.484375 -3.578125 2.78125 -4.171875 3.234375 -4.546875 C 3.53125 -4.84375 3.9375 -5.03125 4.40625 -5.03125 C 4.890625 -5.03125 5.0625 -4.671875 5.0625 -4.203125 C 5.0625 -4.125 5.0625 -3.890625 4.90625 -3.328125 C 4.75 -2.703125 4.75 -2.671875 4.609375 -2.09375 L 4.265625 -0.71875 C 4.21875 -0.53125 4.140625 -0.234375 4.140625 -0.171875 C 4.140625 -0.015625 4.28125 0.125 4.453125 0.125 C 4.8125 0.125 4.875 -0.15625 4.984375 -0.578125 L 5.703125 -3.4375 C 5.71875 -3.53125 6.34375 -5.03125 7.65625 -5.03125 C 8.140625 -5.03125 8.3125 -4.671875 8.3125 -4.203125 C 8.3125 -3.53125 7.84375 -2.21875 7.578125 -1.5 C 7.46875 -1.21875 7.40625 -1.0625 7.40625 -0.84375 C 7.40625 -0.3125 7.78125 0.125 8.359375 0.125 C 9.46875 0.125 9.890625 -1.640625 9.890625 -1.703125 Z M 9.890625 -1.703125 "></path>
</g>
<g id="samplediff.svg-glyph0-14">
<path d="M 2.828125 -1.703125 C 2.828125 -1.765625 2.765625 -1.8125 2.703125 -1.8125 C 2.59375 -1.8125 2.578125 -1.75 2.53125 -1.578125 C 2.3125 -0.75 2.109375 -0.125 1.625 -0.125 C 1.265625 -0.125 1.265625 -0.5 1.265625 -0.671875 C 1.265625 -0.71875 1.265625 -0.96875 1.34375 -1.296875 L 3.03125 -8 C 3.046875 -8.046875 3.078125 -8.109375 3.078125 -8.171875 C 3.078125 -8.296875 2.921875 -8.296875 2.921875 -8.296875 L 2.265625 -8.234375 C 2.0625 -8.21875 1.890625 -8.203125 1.671875 -8.1875 C 1.390625 -8.15625 1.296875 -8.15625 1.296875 -7.9375 C 1.296875 -7.8125 1.421875 -7.8125 1.546875 -7.8125 C 2.15625 -7.8125 2.15625 -7.703125 2.15625 -7.59375 C 2.15625 -7.546875 2.15625 -7.515625 2.09375 -7.296875 L 0.609375 -1.375 C 0.578125 -1.25 0.546875 -1.140625 0.546875 -0.953125 C 0.546875 -0.359375 0.984375 0.125 1.609375 0.125 C 2 0.125 2.265625 -0.140625 2.453125 -0.515625 C 2.65625 -0.90625 2.828125 -1.65625 2.828125 -1.703125 Z M 2.828125 -1.703125 "></path>
</g>
<g id="samplediff.svg-glyph0-15">
<path d="M 6.53125 -7.640625 C 6.53125 -8.140625 6.03125 -8.421875 5.5 -8.421875 C 4.984375 -8.421875 4.484375 -8.03125 4.25 -7.5625 C 4.03125 -7.140625 3.90625 -6.71875 3.640625 -5.15625 L 2.828125 -5.15625 C 2.609375 -5.15625 2.484375 -5.15625 2.484375 -4.9375 C 2.484375 -4.8125 2.5625 -4.8125 2.796875 -4.8125 L 3.5625 -4.8125 L 2.578125 0.28125 C 2.375 1.328125 2.203125 2.203125 1.609375 2.203125 C 1.5625 2.203125 1.21875 2.203125 1 1.96875 C 1.609375 1.921875 1.609375 1.390625 1.609375 1.390625 C 1.609375 1.140625 1.4375 1 1.203125 1 C 0.96875 1 0.609375 1.203125 0.609375 1.65625 C 0.609375 2.171875 1.140625 2.4375 1.609375 2.4375 C 2.828125 2.4375 3.328125 0.25 3.453125 -0.34375 L 4.3125 -4.8125 L 5.328125 -4.8125 C 5.5625 -4.8125 5.671875 -4.8125 5.671875 -5.03125 C 5.671875 -5.15625 5.5625 -5.15625 5.359375 -5.15625 L 4.390625 -5.15625 L 4.875 -7.609375 C 4.953125 -7.90625 5.203125 -8.171875 5.515625 -8.171875 C 5.765625 -8.171875 6.015625 -8.0625 6.125 -7.953125 C 5.671875 -7.90625 5.515625 -7.5625 5.515625 -7.359375 C 5.515625 -7.125 5.703125 -6.984375 5.921875 -6.984375 C 6.171875 -6.984375 6.53125 -7.1875 6.53125 -7.640625 Z M 6.53125 -7.640625 "></path>
</g>
<g id="samplediff.svg-glyph1-0">
<path d=""></path>
</g>
<g id="samplediff.svg-glyph1-1">
<path d="M 8.78125 1.625 L 8.78125 1.359375 L 0 1.359375 L 0 1.625 Z M 8.78125 1.625 "></path>
</g>
<g id="samplediff.svg-glyph1-2">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="samplediff.svg-glyph1-3">
<path d="M 2.984375 2.984375 L 2.984375 2.546875 L 1.828125 2.546875 L 1.828125 -8.515625 L 2.984375 -8.515625 L 2.984375 -8.96875 L 1.390625 -8.96875 L 1.390625 2.984375 Z M 2.984375 2.984375 "></path>
</g>
<g id="samplediff.svg-glyph1-4">
<path d="M 3.890625 2.90625 C 3.890625 2.875 3.890625 2.84375 3.6875 2.640625 C 2.484375 1.4375 1.8125 -0.53125 1.8125 -2.96875 C 1.8125 -5.296875 2.375 -7.296875 3.765625 -8.703125 C 3.890625 -8.8125 3.890625 -8.828125 3.890625 -8.875 C 3.890625 -8.9375 3.828125 -8.96875 3.78125 -8.96875 C 3.625 -8.96875 2.640625 -8.109375 2.0625 -6.9375 C 1.453125 -5.71875 1.171875 -4.453125 1.171875 -2.96875 C 1.171875 -1.90625 1.34375 -0.484375 1.953125 0.78125 C 2.671875 2.21875 3.640625 3 3.78125 3 C 3.828125 3 3.890625 2.96875 3.890625 2.90625 Z M 3.890625 2.90625 "></path>
</g>
<g id="samplediff.svg-glyph1-5">
<path d="M 8.453125 -2.96875 C 8.453125 -3.203125 8.25 -3.203125 8.0625 -3.203125 L 4.765625 -3.203125 L 4.765625 -6.5 C 4.765625 -6.671875 4.765625 -6.890625 4.546875 -6.890625 C 4.328125 -6.890625 4.328125 -6.6875 4.328125 -6.5 L 4.328125 -3.203125 L 1.03125 -3.203125 C 0.859375 -3.203125 0.640625 -3.203125 0.640625 -2.984375 C 0.640625 -2.765625 0.84375 -2.765625 1.03125 -2.765625 L 4.328125 -2.765625 L 4.328125 0.53125 C 4.328125 0.703125 4.328125 0.921875 4.546875 0.921875 C 4.765625 0.921875 4.765625 0.71875 4.765625 0.53125 L 4.765625 -2.765625 L 8.0625 -2.765625 C 8.234375 -2.765625 8.453125 -2.765625 8.453125 -2.96875 Z M 8.453125 -2.96875 "></path>
</g>
<g id="samplediff.svg-glyph1-6">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="samplediff.svg-glyph1-7">
<path d="M 3.375 -2.96875 C 3.375 -3.890625 3.25 -5.359375 2.578125 -6.75 C 1.875 -8.1875 0.890625 -8.96875 0.765625 -8.96875 C 0.71875 -8.96875 0.65625 -8.9375 0.65625 -8.875 C 0.65625 -8.828125 0.65625 -8.8125 0.859375 -8.609375 C 2.0625 -7.40625 2.71875 -5.421875 2.71875 -2.984375 C 2.71875 -0.671875 2.15625 1.328125 0.78125 2.734375 C 0.65625 2.84375 0.65625 2.875 0.65625 2.90625 C 0.65625 2.96875 0.71875 3 0.765625 3 C 0.921875 3 1.90625 2.140625 2.484375 0.96875 C 3.09375 -0.25 3.375 -1.546875 3.375 -2.96875 Z M 3.375 -2.96875 "></path>
</g>
<g id="samplediff.svg-glyph1-8">
<path d="M 8.515625 -4.8125 L 8.515625 -5.15625 L 7.328125 -5.125 C 7 -5.125 6.234375 -5.125 5.96875 -5.15625 L 5.96875 -4.8125 C 6.46875 -4.8125 6.796875 -4.609375 6.796875 -4.28125 C 6.796875 -4.234375 6.796875 -4.15625 6.75 -4.0625 C 6.515625 -3.625 6.1875 -3.078125 5.890625 -2.59375 C 5.46875 -1.90625 5.09375 -1.453125 5.046875 -1.390625 C 4.84375 -1.640625 3.625 -3.1875 3.078125 -4.625 C 3.375 -4.953125 4.484375 -6.140625 4.484375 -7.046875 C 4.484375 -7.15625 4.46875 -8.546875 3.484375 -8.546875 C 2.765625 -8.546875 1.921875 -7.90625 1.921875 -6.640625 C 1.921875 -6.078125 2.03125 -5.265625 2.328125 -4.453125 L 2.390625 -4.25 C 2.390625 -4.203125 2.328125 -4.140625 2.3125 -4.125 L 0.9375 -2.625 C 0.734375 -2.40625 0.484375 -2.015625 0.484375 -1.53125 C 0.484375 -0.484375 1.484375 0.25 2.609375 0.25 C 3.40625 0.25 4.125 -0.09375 4.734375 -0.671875 C 5.03125 -0.40625 5.765625 0.25 6.796875 0.25 C 7.6875 0.25 8.421875 -0.4375 8.453125 -1.453125 L 8.1875 -1.453125 C 8.15625 -0.53125 7.421875 -0.09375 6.84375 -0.09375 C 6.25 -0.09375 5.71875 -0.578125 5.21875 -1.171875 C 5.765625 -1.859375 6.1875 -2.5625 6.796875 -3.625 C 7.21875 -4.34375 7.46875 -4.796875 8.515625 -4.8125 Z M 4.21875 -7.03125 C 4.21875 -6.25 3.234375 -5.171875 2.984375 -4.890625 C 2.734375 -5.578125 2.625 -6.390625 2.625 -6.921875 C 2.625 -7.890625 3.078125 -8.3125 3.515625 -8.3125 C 4.171875 -8.3125 4.21875 -7.265625 4.21875 -7.03125 Z M 4.53125 -0.875 C 3.796875 -0.171875 3.0625 -0.09375 2.71875 -0.09375 C 1.734375 -0.09375 1.40625 -1.171875 1.40625 -1.90625 C 1.40625 -2.21875 1.453125 -2.71875 1.765625 -3.15625 C 1.78125 -3.1875 2.40625 -3.875 2.5 -3.984375 C 2.96875 -2.890625 3.765625 -1.71875 4.53125 -0.875 Z M 4.53125 -0.875 "></path>
</g>
<g id="samplediff.svg-glyph1-9">
<path d="M 4.90625 0 L 4.90625 -0.34375 L 4.53125 -0.34375 C 3.484375 -0.34375 3.4375 -0.484375 3.4375 -0.921875 L 3.4375 -7.65625 C 3.4375 -7.9375 3.4375 -7.953125 3.203125 -7.953125 C 2.921875 -7.625 2.3125 -7.1875 1.09375 -7.1875 L 1.09375 -6.84375 C 1.359375 -6.84375 1.953125 -6.84375 2.625 -7.140625 L 2.625 -0.921875 C 2.625 -0.484375 2.578125 -0.34375 1.53125 -0.34375 L 1.15625 -0.34375 L 1.15625 0 C 1.484375 -0.03125 2.640625 -0.03125 3.03125 -0.03125 C 3.4375 -0.03125 4.578125 -0.03125 4.90625 0 Z M 4.90625 0 "></path>
</g>
<g id="samplediff.svg-glyph1-10">
<path d="M 1.859375 2.984375 L 1.859375 -8.96875 L 0.25 -8.96875 L 0.25 -8.515625 L 1.40625 -8.515625 L 1.40625 2.546875 L 0.25 2.546875 L 0.25 2.984375 Z M 1.859375 2.984375 "></path>
</g>
<g id="samplediff.svg-glyph2-0">
<path d=""></path>
</g>
<g id="samplediff.svg-glyph2-1">
<path d="M 3.5 -2.203125 C 3.5 -3 3 -3.515625 2.359375 -3.515625 C 1.90625 -3.515625 1.5625 -3.234375 1.390625 -3.078125 L 1.9375 -5.296875 C 1.953125 -5.3125 1.96875 -5.421875 1.96875 -5.421875 C 1.96875 -5.453125 1.9375 -5.53125 1.84375 -5.53125 C 1.8125 -5.53125 1.5625 -5.5 1.390625 -5.484375 L 0.9375 -5.453125 C 0.765625 -5.4375 0.6875 -5.4375 0.6875 -5.296875 C 0.6875 -5.171875 0.796875 -5.171875 0.890625 -5.171875 C 1.28125 -5.171875 1.28125 -5.125 1.28125 -5.0625 C 1.28125 -5.015625 1.1875 -4.6875 1.140625 -4.515625 L 0.453125 -1.734375 C 0.390625 -1.46875 0.390625 -1.34375 0.390625 -1.21875 C 0.390625 -0.390625 0.890625 0.078125 1.5 0.078125 C 2.484375 0.078125 3.5 -1.046875 3.5 -2.203125 Z M 2.890625 -2.546875 C 2.890625 -2.25 2.703125 -1.390625 2.46875 -0.921875 C 2.265625 -0.5 1.875 -0.140625 1.5 -0.140625 C 1.21875 -0.140625 0.9375 -0.359375 0.9375 -0.953125 C 0.9375 -1.15625 0.96875 -1.359375 1.0625 -1.75 L 1.234375 -2.4375 C 1.28125 -2.578125 1.28125 -2.59375 1.375 -2.703125 C 1.640625 -3.046875 2 -3.296875 2.328125 -3.296875 C 2.734375 -3.296875 2.890625 -2.90625 2.890625 -2.546875 Z M 2.890625 -2.546875 "></path>
</g>
<g id="samplediff.svg-glyph2-2">
<path d="M 2.375 -4.96875 C 2.375 -5.140625 2.25 -5.28125 2.0625 -5.28125 C 1.859375 -5.28125 1.625 -5.078125 1.625 -4.84375 C 1.625 -4.671875 1.75 -4.546875 1.9375 -4.546875 C 2.140625 -4.546875 2.375 -4.734375 2.375 -4.96875 Z M 2.53125 -1.140625 C 2.53125 -1.21875 2.46875 -1.25 2.40625 -1.25 C 2.3125 -1.25 2.296875 -1.1875 2.265625 -1.109375 C 2.09375 -0.46875 1.765625 -0.140625 1.4375 -0.140625 C 1.34375 -0.140625 1.25 -0.1875 1.25 -0.390625 C 1.25 -0.59375 1.3125 -0.734375 1.40625 -0.984375 L 1.90625 -2.265625 C 1.96875 -2.453125 2.078125 -2.703125 2.078125 -2.84375 C 2.078125 -3.234375 1.75 -3.515625 1.34375 -3.515625 C 0.578125 -3.515625 0.234375 -2.40625 0.234375 -2.296875 C 0.234375 -2.21875 0.296875 -2.1875 0.359375 -2.1875 C 0.46875 -2.1875 0.46875 -2.234375 0.5 -2.3125 C 0.71875 -3.078125 1.078125 -3.296875 1.328125 -3.296875 C 1.4375 -3.296875 1.515625 -3.25 1.515625 -3.03125 C 1.515625 -2.953125 1.5 -2.84375 1.421875 -2.59375 L 1.21875 -2.046875 C 1 -1.515625 1 -1.5 0.78125 -0.953125 C 0.734375 -0.828125 0.703125 -0.734375 0.703125 -0.59375 C 0.703125 -0.203125 1 0.078125 1.421875 0.078125 C 2.203125 0.078125 2.53125 -1.03125 2.53125 -1.140625 Z M 2.53125 -1.140625 "></path>
</g>
<g id="samplediff.svg-glyph2-3">
<path d="M 2.703125 -1.140625 C 2.703125 -1.234375 2.640625 -1.25 2.59375 -1.25 C 2.5 -1.25 2.5 -1.21875 2.4375 -1.09375 C 2.28125 -0.703125 1.875 -0.140625 1.390625 -0.140625 C 1.234375 -0.140625 1.125 -0.25 1.125 -0.515625 C 1.125 -0.671875 1.15625 -0.75 1.171875 -0.859375 L 1.765625 -3.171875 L 2.546875 -3.171875 C 2.6875 -3.171875 2.78125 -3.171875 2.78125 -3.328125 C 2.78125 -3.4375 2.6875 -3.4375 2.546875 -3.4375 L 1.828125 -3.4375 L 2.109375 -4.5625 C 2.140625 -4.6875 2.140625 -4.734375 2.140625 -4.734375 C 2.140625 -4.90625 2.015625 -4.984375 1.875 -4.984375 C 1.609375 -4.984375 1.546875 -4.765625 1.46875 -4.40625 L 1.21875 -3.4375 L 0.453125 -3.4375 C 0.296875 -3.4375 0.203125 -3.4375 0.203125 -3.28125 C 0.203125 -3.171875 0.296875 -3.171875 0.4375 -3.171875 L 1.15625 -3.171875 L 0.671875 -1.265625 C 0.625 -1.0625 0.5625 -0.78125 0.5625 -0.671875 C 0.5625 -0.1875 0.953125 0.078125 1.375 0.078125 C 2.21875 0.078125 2.703125 -1.046875 2.703125 -1.140625 Z M 2.703125 -1.140625 "></path>
</g>
<g id="samplediff.svg-glyph2-4">
<path d="M 3.34375 -1.234375 C 3.34375 -1.953125 2.5625 -2.109375 2.265625 -2.15625 C 1.875 -2.234375 1.5625 -2.28125 1.5625 -2.625 C 1.5625 -2.765625 1.703125 -3.296875 2.484375 -3.296875 C 2.78125 -3.296875 3.09375 -3.203125 3.21875 -3 C 3.03125 -2.96875 2.859375 -2.828125 2.859375 -2.625 C 2.859375 -2.484375 2.953125 -2.375 3.125 -2.375 C 3.25 -2.375 3.5 -2.46875 3.5 -2.828125 C 3.5 -3.3125 2.984375 -3.515625 2.484375 -3.515625 C 1.421875 -3.515625 1.078125 -2.75 1.078125 -2.34375 C 1.078125 -2.265625 1.078125 -1.984375 1.375 -1.765625 C 1.5625 -1.625 1.703125 -1.59375 2.109375 -1.515625 C 2.390625 -1.453125 2.84375 -1.375 2.84375 -0.96875 C 2.84375 -0.75 2.6875 -0.5 2.46875 -0.34375 C 2.171875 -0.15625 1.78125 -0.140625 1.65625 -0.140625 C 1.46875 -0.140625 0.921875 -0.171875 0.71875 -0.5 C 1.125 -0.515625 1.1875 -0.84375 1.1875 -0.9375 C 1.1875 -1.171875 0.96875 -1.234375 0.875 -1.234375 C 0.75 -1.234375 0.421875 -1.125 0.421875 -0.6875 C 0.421875 -0.21875 0.921875 0.078125 1.65625 0.078125 C 3.046875 0.078125 3.34375 -0.90625 3.34375 -1.234375 Z M 3.34375 -1.234375 "></path>
</g>
<g id="samplediff.svg-glyph3-0">
<path d=""></path>
</g>
<g id="samplediff.svg-glyph3-1">
<path d="M 5.859375 -1.984375 C 5.859375 -2.171875 5.6875 -2.171875 5.578125 -2.171875 L 1 -2.171875 C 0.890625 -2.171875 0.703125 -2.171875 0.703125 -1.984375 C 0.703125 -1.8125 0.890625 -1.8125 1 -1.8125 L 5.578125 -1.8125 C 5.6875 -1.8125 5.859375 -1.8125 5.859375 -1.984375 Z M 5.859375 -1.984375 "></path>
</g>
<g id="samplediff.svg-glyph4-0">
<path d=""></path>
</g>
<g id="samplediff.svg-glyph4-1">
<path d="M 3.5625 0 L 3.5625 -0.265625 L 3.28125 -0.265625 C 2.53125 -0.265625 2.5 -0.359375 2.5 -0.65625 L 2.5 -5.078125 C 2.5 -5.296875 2.484375 -5.296875 2.265625 -5.296875 C 1.9375 -4.984375 1.515625 -4.796875 0.765625 -4.796875 L 0.765625 -4.53125 C 0.984375 -4.53125 1.40625 -4.53125 1.875 -4.734375 L 1.875 -0.65625 C 1.875 -0.359375 1.84375 -0.265625 1.09375 -0.265625 L 0.8125 -0.265625 L 0.8125 0 C 1.140625 -0.03125 1.828125 -0.03125 2.1875 -0.03125 C 2.546875 -0.03125 3.234375 -0.03125 3.5625 0 Z M 3.5625 0 "></path>
</g>
<g id="samplediff.svg-glyph5-0">
<path d=""></path>
</g>
<g id="samplediff.svg-glyph5-1">
<path d="M 8.296875 -2.984375 C 8.296875 -3.234375 8.0625 -3.234375 7.90625 -3.234375 L 1.390625 -3.234375 C 1.21875 -3.234375 0.984375 -3.234375 0.984375 -2.984375 C 0.984375 -2.75 1.21875 -2.75 1.390625 -2.75 L 7.90625 -2.75 C 8.0625 -2.75 8.296875 -2.75 8.296875 -2.984375 Z M 8.296875 -2.984375 "></path>
</g>
</g>
</defs>
<g id="samplediff.svg-surface1">
<g>
<use xlink:href="#samplediff.svg-glyph0-1" x="-0.05" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-2" x="4.987921" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-3" x="10.615234" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-4" x="16.69804" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-5" x="22.123309" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-1" x="27.724" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph0-6" x="36.499" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-7" x="40.492037" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-8" x="47.479851" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-9" x="53.354636" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-10" x="60.017269" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-2" x="67.566" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-3" x="79.994626" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-4" x="83.318172" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph0-11" x="87.864" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-12" x="93.377738" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-13" x="99.522711" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-8" x="109.76234" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-14" x="115.637125" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph0-4" x="119.387471" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-1" x="124.813" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph0-3" x="133.588" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-6" x="139.670806" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-15" x="143.663843" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph0-15" x="150.712628" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph0-4" x="157.761414" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-5" x="163.186684" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph0-4" x="168.785304" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-7" x="174.210574" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-1" x="181.198388" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph0-4" x="186.23631" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-5" x="194.316" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-6" x="206.075135" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph2-1" x="211.931" y="6.218"></use>
<use xlink:href="#samplediff.svg-glyph2-2" x="215.55341" y="6.218"></use>
<use xlink:href="#samplediff.svg-glyph2-3" x="218.436196" y="6.218"></use>
<use xlink:href="#samplediff.svg-glyph2-4" x="221.494323" y="6.218"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph3-1" x="225.41" y="6.218"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph4-1" x="231.997" y="6.218"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-7" x="236.729" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph1-8" x="241.28154" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph1-4" x="250.38662" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph1-6" x="254.939161" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph2-1" x="260.792" y="6.218"></use>
<use xlink:href="#samplediff.svg-glyph2-2" x="264.41441" y="6.218"></use>
<use xlink:href="#samplediff.svg-glyph2-3" x="267.297196" y="6.218"></use>
<use xlink:href="#samplediff.svg-glyph2-4" x="270.355323" y="6.218"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph5-1" x="277.426" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-9" x="289.381" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph1-7" x="295.234266" y="11.154"></use>
<use xlink:href="#samplediff.svg-glyph1-10" x="299.786806" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph5-1" x="305.695" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph1-6" x="317.65" y="11.154"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph2-1" x="323.503" y="6.218"></use>
<use xlink:href="#samplediff.svg-glyph2-2" x="327.12541" y="6.218"></use>
<use xlink:href="#samplediff.svg-glyph2-3" x="330.008196" y="6.218"></use>
<use xlink:href="#samplediff.svg-glyph2-4" x="333.066323" y="6.218"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph3-1" x="336.983" y="6.218"></use>
</g>
<g>
<use xlink:href="#samplediff.svg-glyph4-1" x="343.569" y="6.218"></use>
</g>
</g>
</svg><a href="#section-3.8-2.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-7" class="selfRef">Figure 7</a></figcaption></figure>
<div id="range-coding-mode">
<section id="section-3.8.1">
<h4 id="name-range-coding-mode">
<a href="#section-3.8.1" class="section-number selfRef">3.8.1. </a><a href="#name-range-coding-mode" class="section-name selfRef">Range Coding Mode</a>
</h4>
<p id="section-3.8.1-1">Early experimental versions of FFV1 used the CABAC Arithmetic coder from H.264 as defined in <span>[<a href="#ISO.14496-10.2014" class="xref">ISO.14496-10.2014</a>]</span> but due to the uncertain patent/royalty situation, as well as its slightly worse performance, CABAC was replaced by a Range coder based on an algorithm defined by G. Nigel and N. Martin in 1979 <span>[<a href="#range-coding" class="xref">range-coding</a>]</span>.<a href="#section-3.8.1-1" class="pilcrow">¶</a></p>
<div id="range-binary-values">
<section id="section-3.8.1.1">
<h5 id="name-range-binary-values">
<a href="#section-3.8.1.1" class="section-number selfRef">3.8.1.1. </a><a href="#name-range-binary-values" class="section-name selfRef">Range Binary Values</a>
</h5>
<p id="section-3.8.1.1-1">To encode binary digits efficiently a Range coder is used. <code>C~i~</code> is the i-th Context. <code>B~i~</code> is the i-th byte of the bytestream. <code>b~i~</code> is the i-th Range coded binary value, <code>S~0,i~</code> is the i-th initial state. The length of the bytestream encoding n binary symbols is <code>j~n~</code> bytes.<a href="#section-3.8.1.1-1" class="pilcrow">¶</a></p>
<figure id="figure-8">
<div id="section-3.8.1.1-2.1">
<div class="artwork art-svg alignLeft" id="section-3.8.1.1-2.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="70pt" height="26pt" viewBox="0 0 70 26" version="1.1">
<defs>
<g>
<g id="rangebinaryvalues1.svg-glyph0-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues1.svg-glyph0-1">
<path d="M 5.09375 -4.546875 C 5.09375 -4.9375 4.71875 -5.265625 4.125 -5.265625 C 3.640625 -5.265625 3.09375 -5.0625 2.59375 -4.328125 C 2.515625 -4.953125 2.03125 -5.265625 1.546875 -5.265625 C 1.09375 -5.265625 0.84375 -4.90625 0.703125 -4.65625 C 0.5 -4.21875 0.328125 -3.5 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.8125 -5.03125 1.890625 -4.828125 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.5625 0.03125 1.640625 -0.203125 C 1.671875 -0.296875 2.109375 -2.109375 2.1875 -2.375 C 2.25 -2.640625 2.3125 -2.890625 2.375 -3.15625 L 2.515625 -3.671875 C 2.546875 -3.78125 2.875 -4.359375 3.171875 -4.625 C 3.3125 -4.75 3.625 -5.03125 4.109375 -5.03125 C 4.296875 -5.03125 4.5 -5 4.65625 -4.890625 C 4.28125 -4.8125 4.09375 -4.546875 4.09375 -4.296875 C 4.09375 -4 4.3125 -3.90625 4.484375 -3.90625 C 4.8125 -3.90625 5.09375 -4.203125 5.09375 -4.546875 Z M 5.09375 -4.546875 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph0-2">
<path d="M 7.671875 -6.578125 C 7.671875 -5.96875 7.359375 -4.203125 4.953125 -4.203125 L 3.609375 -4.203125 L 4.40625 -7.34375 C 4.5 -7.796875 4.546875 -7.8125 5.015625 -7.8125 L 5.875 -7.8125 C 6.90625 -7.8125 7.671875 -7.5 7.671875 -6.578125 Z M 8.84375 -1.09375 C 8.84375 -1.1875 8.78125 -1.21875 8.71875 -1.21875 C 8.625 -1.21875 8.59375 -1.140625 8.578125 -1.046875 C 8.28125 -0.203125 7.796875 0.015625 7.5 0.015625 C 7.203125 0.015625 7 -0.125 7 -0.65625 C 7 -0.9375 7.140625 -2.03125 7.15625 -2.09375 C 7.21875 -2.53125 7.21875 -2.578125 7.21875 -2.671875 C 7.21875 -3.546875 6.515625 -3.921875 6.0625 -4.0625 C 7.546875 -4.390625 8.703125 -5.34375 8.703125 -6.375 C 8.703125 -7.296875 7.75 -8.15625 6.09375 -8.15625 L 2.859375 -8.15625 C 2.625 -8.15625 2.515625 -8.15625 2.515625 -7.9375 C 2.515625 -7.8125 2.59375 -7.8125 2.828125 -7.8125 C 3.53125 -7.8125 3.53125 -7.71875 3.53125 -7.59375 C 3.53125 -7.59375 3.53125 -7.5 3.484375 -7.3125 L 1.875 -0.890625 C 1.765625 -0.46875 1.75 -0.34375 0.921875 -0.34375 C 0.640625 -0.34375 0.5625 -0.34375 0.5625 -0.125 C 0.5625 0 0.6875 0 0.734375 0 C 0.9375 0 1.1875 -0.03125 1.421875 -0.03125 L 2.828125 -0.03125 C 3.046875 -0.03125 3.296875 0 3.515625 0 C 3.609375 0 3.734375 0 3.734375 -0.234375 C 3.734375 -0.34375 3.640625 -0.34375 3.453125 -0.34375 C 2.71875 -0.34375 2.71875 -0.4375 2.71875 -0.5625 C 2.71875 -0.5625 2.71875 -0.65625 2.75 -0.75 L 3.546875 -3.96875 L 4.984375 -3.96875 C 6.125 -3.96875 6.328125 -3.25 6.328125 -2.859375 C 6.328125 -2.671875 6.21875 -2.21875 6.125 -1.90625 C 6 -1.34375 5.96875 -1.21875 5.96875 -0.984375 C 5.96875 -0.140625 6.65625 0.25 7.453125 0.25 C 8.421875 0.25 8.84375 -0.9375 8.84375 -1.09375 Z M 8.84375 -1.09375 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph0-3">
<path d="M 6.453125 -2.734375 C 6.453125 -3.234375 6.328125 -3.6875 5.875 -4.125 C 5.625 -4.375 5.421875 -4.4375 4.3125 -4.71875 C 3.515625 -4.9375 3.40625 -4.96875 3.1875 -5.15625 C 2.984375 -5.359375 2.828125 -5.65625 2.828125 -6.0625 C 2.828125 -7.0625 3.84375 -8.09375 4.984375 -8.09375 C 6.15625 -8.09375 6.703125 -7.375 6.703125 -6.234375 C 6.703125 -5.921875 6.640625 -5.609375 6.640625 -5.5625 C 6.640625 -5.453125 6.734375 -5.453125 6.78125 -5.453125 C 6.890625 -5.453125 6.890625 -5.484375 6.9375 -5.671875 L 7.59375 -8.3125 C 7.59375 -8.421875 7.484375 -8.421875 7.484375 -8.421875 C 7.4375 -8.421875 7.421875 -8.40625 7.28125 -8.21875 L 6.703125 -7.5 C 6.3125 -8.28125 5.515625 -8.421875 5.015625 -8.421875 C 3.5 -8.421875 2.125 -7.03125 2.125 -5.671875 C 2.125 -4.78125 2.671875 -4.25 3.25 -4.046875 C 3.375 -4 4.09375 -3.8125 4.453125 -3.734375 C 5.0625 -3.5625 5.21875 -3.515625 5.46875 -3.25 C 5.515625 -3.1875 5.75 -2.921875 5.75 -2.359375 C 5.75 -1.25 4.71875 -0.09375 3.53125 -0.09375 C 2.546875 -0.09375 1.453125 -0.515625 1.453125 -1.859375 C 1.453125 -2.078125 1.5 -2.359375 1.546875 -2.484375 C 1.546875 -2.515625 1.546875 -2.609375 1.546875 -2.609375 C 1.546875 -2.65625 1.53125 -2.71875 1.4375 -2.71875 C 1.328125 -2.71875 1.3125 -2.6875 1.265625 -2.484375 L 0.65625 -0.03125 L 0.609375 0.140625 C 0.609375 0.25 0.734375 0.25 0.734375 0.25 C 0.78125 0.25 0.78125 0.234375 0.9375 0.0625 L 1.484375 -0.65625 C 1.765625 -0.234375 2.390625 0.25 3.5 0.25 C 5.046875 0.25 6.453125 -1.25 6.453125 -2.734375 Z M 6.453125 -2.734375 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph1-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues1.svg-glyph1-1">
<path d="M 2.375 -4.96875 C 2.375 -5.140625 2.25 -5.28125 2.0625 -5.28125 C 1.859375 -5.28125 1.625 -5.078125 1.625 -4.84375 C 1.625 -4.671875 1.75 -4.546875 1.9375 -4.546875 C 2.140625 -4.546875 2.375 -4.734375 2.375 -4.96875 Z M 2.53125 -1.140625 C 2.53125 -1.21875 2.46875 -1.25 2.40625 -1.25 C 2.3125 -1.25 2.296875 -1.1875 2.265625 -1.109375 C 2.09375 -0.46875 1.765625 -0.140625 1.4375 -0.140625 C 1.34375 -0.140625 1.25 -0.1875 1.25 -0.390625 C 1.25 -0.59375 1.3125 -0.734375 1.40625 -0.984375 L 1.90625 -2.265625 C 1.96875 -2.453125 2.078125 -2.703125 2.078125 -2.84375 C 2.078125 -3.234375 1.75 -3.515625 1.34375 -3.515625 C 0.578125 -3.515625 0.234375 -2.40625 0.234375 -2.296875 C 0.234375 -2.21875 0.296875 -2.1875 0.359375 -2.1875 C 0.46875 -2.1875 0.46875 -2.234375 0.5 -2.3125 C 0.71875 -3.078125 1.078125 -3.296875 1.328125 -3.296875 C 1.4375 -3.296875 1.515625 -3.25 1.515625 -3.03125 C 1.515625 -2.953125 1.5 -2.84375 1.421875 -2.59375 L 1.21875 -2.046875 C 1 -1.515625 1 -1.5 0.78125 -0.953125 C 0.734375 -0.828125 0.703125 -0.734375 0.703125 -0.59375 C 0.703125 -0.203125 1 0.078125 1.421875 0.078125 C 2.203125 0.078125 2.53125 -1.03125 2.53125 -1.140625 Z M 2.53125 -1.140625 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph1-2">
<path d="M 1.71875 -0.03125 C 1.71875 -0.53125 1.515625 -0.890625 1.171875 -0.890625 C 0.890625 -0.890625 0.734375 -0.65625 0.734375 -0.453125 C 0.734375 -0.21875 0.890625 0 1.171875 0 C 1.375 0 1.484375 -0.125 1.484375 -0.125 C 1.484375 0.390625 1.375 0.859375 0.890625 1.34375 C 0.859375 1.375 0.84375 1.390625 0.84375 1.421875 C 0.84375 1.484375 0.90625 1.53125 0.953125 1.53125 C 1.046875 1.53125 1.71875 0.90625 1.71875 -0.03125 Z M 1.71875 -0.03125 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph1-3">
<path d="M 6.34375 -5.390625 C 6.34375 -5.421875 6.359375 -5.46875 6.359375 -5.515625 C 6.359375 -5.5625 6.3125 -5.609375 6.265625 -5.609375 C 6.203125 -5.609375 6.1875 -5.59375 6.125 -5.515625 L 5.5625 -4.90625 C 5.484375 -5 5.0625 -5.609375 4.140625 -5.609375 C 2.28125 -5.609375 0.421875 -3.890625 0.421875 -2.0625 C 0.421875 -0.671875 1.46875 0.171875 2.734375 0.171875 C 3.78125 0.171875 4.671875 -0.46875 5.09375 -1.09375 C 5.359375 -1.484375 5.46875 -1.859375 5.46875 -1.90625 C 5.46875 -1.984375 5.421875 -2.015625 5.34375 -2.015625 C 5.25 -2.015625 5.234375 -1.96875 5.21875 -1.890625 C 4.875 -0.78125 3.796875 -0.09375 2.84375 -0.09375 C 2.03125 -0.09375 1.171875 -0.578125 1.171875 -1.796875 C 1.171875 -2.046875 1.265625 -3.375 2.15625 -4.375 C 2.75 -5.046875 3.5625 -5.34375 4.1875 -5.34375 C 5.203125 -5.34375 5.609375 -4.546875 5.609375 -3.78125 C 5.609375 -3.671875 5.578125 -3.515625 5.578125 -3.421875 C 5.578125 -3.328125 5.6875 -3.328125 5.71875 -3.328125 C 5.8125 -3.328125 5.828125 -3.359375 5.859375 -3.5 Z M 6.34375 -5.390625 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph2-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues1.svg-glyph2-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph2-2">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph3-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues1.svg-glyph3-1">
<path d="M 5.046875 2.75 C 5.046875 2.515625 4.828125 2.515625 4.65625 2.515625 L 2.5625 2.515625 L 2.5625 -8.578125 C 2.5625 -8.734375 2.5625 -8.96875 2.3125 -8.96875 C 2.078125 -8.96875 2.078125 -8.71875 2.078125 -8.5625 L 2.078125 2.578125 C 2.078125 2.9375 2.125 2.984375 2.484375 2.984375 L 4.65625 2.984375 C 4.828125 2.984375 5.046875 2.984375 5.046875 2.75 Z M 5.046875 2.75 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph3-2">
<path d="M 3.21875 2.59375 L 3.21875 -8.578125 C 3.21875 -8.734375 3.21875 -8.96875 2.96875 -8.96875 C 2.734375 -8.96875 2.734375 -8.71875 2.734375 -8.5625 L 2.734375 2.515625 L 0.640625 2.515625 C 0.46875 2.515625 0.25 2.515625 0.25 2.75 C 0.25 2.984375 0.46875 2.984375 0.640625 2.984375 L 2.828125 2.984375 C 3.171875 2.984375 3.21875 2.9375 3.21875 2.59375 Z M 3.21875 2.59375 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph4-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues1.svg-glyph4-1">
<path d="M 2.078125 -3.734375 C 2.078125 -3.875 1.96875 -3.96875 1.84375 -3.96875 C 1.671875 -3.96875 1.5 -3.8125 1.5 -3.640625 C 1.5 -3.5 1.609375 -3.40625 1.734375 -3.40625 C 1.9375 -3.40625 2.078125 -3.578125 2.078125 -3.734375 Z M 2.296875 -0.859375 C 2.296875 -0.859375 2.296875 -0.953125 2.1875 -0.953125 C 2.09375 -0.953125 2.09375 -0.921875 2.0625 -0.796875 C 1.96875 -0.5 1.71875 -0.140625 1.40625 -0.140625 C 1.296875 -0.140625 1.25 -0.203125 1.25 -0.359375 C 1.25 -0.46875 1.28125 -0.5625 1.359375 -0.75 L 1.71875 -1.640625 C 1.75 -1.703125 1.796875 -1.84375 1.828125 -1.90625 C 1.84375 -1.953125 1.859375 -2.015625 1.859375 -2.125 C 1.859375 -2.453125 1.5625 -2.640625 1.265625 -2.640625 C 0.65625 -2.640625 0.359375 -1.84375 0.359375 -1.71875 C 0.359375 -1.6875 0.390625 -1.640625 0.46875 -1.640625 C 0.5625 -1.640625 0.578125 -1.671875 0.59375 -1.71875 C 0.765625 -2.296875 1.078125 -2.4375 1.25 -2.4375 C 1.359375 -2.4375 1.40625 -2.359375 1.40625 -2.21875 C 1.40625 -2.109375 1.375 -2.015625 1.359375 -1.96875 L 1.046875 -1.203125 C 0.96875 -1.03125 0.96875 -1.015625 0.890625 -0.8125 C 0.8125 -0.640625 0.796875 -0.5625 0.796875 -0.453125 C 0.796875 -0.15625 1.0625 0.0625 1.390625 0.0625 C 2 0.0625 2.296875 -0.734375 2.296875 -0.859375 Z M 2.296875 -0.859375 "></path>
</g>
<g id="rangebinaryvalues1.svg-glyph5-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues1.svg-glyph5-1">
<path d="M 3.875 -1.34375 C 3.875 -1.84375 3.609375 -2.171875 3.46875 -2.3125 C 3.34375 -2.4375 3.328125 -2.453125 2.640625 -2.875 C 3.09375 -3.09375 3.640625 -3.484375 3.640625 -4.109375 C 3.640625 -4.875 2.859375 -5.296875 2.125 -5.296875 C 1.28125 -5.296875 0.59375 -4.71875 0.59375 -3.96875 C 0.59375 -3.671875 0.6875 -3.40625 0.890625 -3.171875 C 1.03125 -3 1.0625 -2.984375 1.546875 -2.671875 C 0.5625 -2.234375 0.34375 -1.65625 0.34375 -1.21875 C 0.34375 -0.328125 1.234375 0.171875 2.109375 0.171875 C 3.078125 0.171875 3.875 -0.5 3.875 -1.34375 Z M 3.234375 -4.109375 C 3.234375 -3.65625 2.875 -3.265625 2.40625 -3.03125 L 1.40625 -3.625 C 1.171875 -3.765625 0.984375 -4 0.984375 -4.265625 C 0.984375 -4.765625 1.53125 -5.09375 2.109375 -5.09375 C 2.71875 -5.09375 3.234375 -4.671875 3.234375 -4.109375 Z M 3.421875 -1.0625 C 3.421875 -0.453125 2.765625 -0.078125 2.125 -0.078125 C 1.40625 -0.078125 0.8125 -0.5625 0.8125 -1.21875 C 0.8125 -1.8125 1.25 -2.28125 1.796875 -2.53125 L 2.875 -1.875 C 3 -1.796875 3.421875 -1.546875 3.421875 -1.0625 Z M 3.421875 -1.0625 "></path>
</g>
</g>
</defs>
<g id="rangebinaryvalues1.svg-surface1">
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph0-1" x="0.205" y="17.007"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph1-1" x="5.48" y="18.8"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph2-1" x="12.182" y="17.007"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph3-1" x="24.608" y="17.007"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph0-2" x="31.117" y="8.919"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph1-1" x="40.027" y="10.712"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph0-3" x="43.408" y="8.919"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph1-1" x="50.607" y="10.712"></use>
<use xlink:href="#rangebinaryvalues1.svg-glyph1-2" x="53.489785" y="10.712"></use>
<use xlink:href="#rangebinaryvalues1.svg-glyph1-3" x="55.841762" y="10.712"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph4-1" x="61.878" y="11.927"></use>
</g>
<path d="M 0.0001875 -0.00153125 L 34.422062 -0.00153125 " transform="matrix(1,0,0,-1,31.117,14.018)"></path>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph2-2" x="43.035" y="25.207"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph5-1" x="48.888" y="21.754"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues1.svg-glyph3-2" x="66.734" y="17.007"></use>
</g>
</g>
</svg><a href="#section-3.8.1.1-2.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-8" class="selfRef">Figure 8</a></figcaption></figure>
<figure id="figure-9">
<div id="section-3.8.1.1-3.1">
<div class="artwork art-svg alignLeft" id="section-3.8.1.1-3.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="496pt" height="30pt" viewBox="0 0 496 30" version="1.1">
<defs>
<g>
<g id="rangebinaryvalues2.svg-glyph0-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-1">
<path d="M 6.453125 -2.734375 C 6.453125 -3.234375 6.328125 -3.6875 5.875 -4.125 C 5.625 -4.375 5.421875 -4.4375 4.3125 -4.71875 C 3.515625 -4.9375 3.40625 -4.96875 3.1875 -5.15625 C 2.984375 -5.359375 2.828125 -5.65625 2.828125 -6.0625 C 2.828125 -7.0625 3.84375 -8.09375 4.984375 -8.09375 C 6.15625 -8.09375 6.703125 -7.375 6.703125 -6.234375 C 6.703125 -5.921875 6.640625 -5.609375 6.640625 -5.5625 C 6.640625 -5.453125 6.734375 -5.453125 6.78125 -5.453125 C 6.890625 -5.453125 6.890625 -5.484375 6.9375 -5.671875 L 7.59375 -8.3125 C 7.59375 -8.421875 7.484375 -8.421875 7.484375 -8.421875 C 7.4375 -8.421875 7.421875 -8.40625 7.28125 -8.21875 L 6.703125 -7.5 C 6.3125 -8.28125 5.515625 -8.421875 5.015625 -8.421875 C 3.5 -8.421875 2.125 -7.03125 2.125 -5.671875 C 2.125 -4.78125 2.671875 -4.25 3.25 -4.046875 C 3.375 -4 4.09375 -3.8125 4.453125 -3.734375 C 5.0625 -3.5625 5.21875 -3.515625 5.46875 -3.25 C 5.515625 -3.1875 5.75 -2.921875 5.75 -2.359375 C 5.75 -1.25 4.71875 -0.09375 3.53125 -0.09375 C 2.546875 -0.09375 1.453125 -0.515625 1.453125 -1.859375 C 1.453125 -2.078125 1.5 -2.359375 1.546875 -2.484375 C 1.546875 -2.515625 1.546875 -2.609375 1.546875 -2.609375 C 1.546875 -2.65625 1.53125 -2.71875 1.4375 -2.71875 C 1.328125 -2.71875 1.3125 -2.6875 1.265625 -2.484375 L 0.65625 -0.03125 L 0.609375 0.140625 C 0.609375 0.25 0.734375 0.25 0.734375 0.25 C 0.78125 0.25 0.78125 0.234375 0.9375 0.0625 L 1.484375 -0.65625 C 1.765625 -0.234375 2.390625 0.25 3.5 0.25 C 5.046875 0.25 6.453125 -1.25 6.453125 -2.734375 Z M 6.453125 -2.734375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-2">
<path d="M 5.09375 -1.671875 C 5.09375 -1.71875 5.078125 -1.796875 4.953125 -1.796875 C 4.859375 -1.796875 4.859375 -1.75 4.8125 -1.625 C 4.546875 -0.921875 3.84375 -0.640625 3.375 -0.640625 C 3.125 -0.640625 2.890625 -0.71875 2.640625 -0.828125 C 2.15625 -1.015625 2.03125 -1.015625 1.875 -1.015625 C 1.75 -1.015625 1.625 -1.015625 1.515625 -0.96875 C 2.03125 -1.546875 2.453125 -1.921875 3.046875 -2.46875 C 3.765625 -3.078125 4.078125 -3.375 4.25 -3.5625 C 5.078125 -4.390625 5.5 -5.078125 5.5 -5.171875 C 5.5 -5.265625 5.375 -5.265625 5.375 -5.265625 C 5.296875 -5.265625 5.265625 -5.21875 5.21875 -5.140625 C 4.90625 -4.625 4.625 -4.375 4.3125 -4.375 C 4.0625 -4.375 3.9375 -4.484375 3.703125 -4.765625 C 3.453125 -5.0625 3.25 -5.265625 2.90625 -5.265625 C 2.03125 -5.265625 1.5 -4.1875 1.5 -3.9375 C 1.5 -3.890625 1.515625 -3.828125 1.625 -3.828125 C 1.71875 -3.828125 1.734375 -3.875 1.765625 -3.953125 C 1.96875 -4.4375 2.546875 -4.515625 2.765625 -4.515625 C 3.03125 -4.515625 3.265625 -4.4375 3.515625 -4.328125 C 3.96875 -4.140625 4.15625 -4.140625 4.28125 -4.140625 C 4.359375 -4.140625 4.40625 -4.140625 4.46875 -4.140625 C 4.078125 -3.6875 3.4375 -3.109375 2.890625 -2.625 C 2.125 -1.953125 1.921875 -1.734375 1.6875 -1.5 C 0.953125 -0.765625 0.515625 -0.0625 0.515625 0.03125 C 0.515625 0.09375 0.578125 0.125 0.640625 0.125 C 0.71875 0.125 0.734375 0.109375 0.8125 -0.03125 C 1 -0.328125 1.390625 -0.78125 1.828125 -0.78125 C 2.078125 -0.78125 2.203125 -0.6875 2.4375 -0.390625 C 2.671875 -0.125 2.875 0.125 3.25 0.125 C 4.421875 0.125 5.09375 -1.40625 5.09375 -1.671875 Z M 5.09375 -1.671875 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-3">
<path d="M 5 -1.296875 C 5 -1.375 4.921875 -1.4375 4.875 -1.4375 C 4.84375 -1.4375 4.828125 -1.421875 4.71875 -1.3125 C 3.953125 -0.296875 2.828125 -0.125 2.359375 -0.125 C 1.6875 -0.125 1.328125 -0.65625 1.328125 -1.546875 C 1.328125 -1.703125 1.328125 -2.015625 1.5 -2.765625 L 2.140625 -2.765625 C 2.46875 -2.765625 3.28125 -2.796875 3.84375 -3.015625 C 4.75 -3.359375 4.84375 -4.046875 4.84375 -4.265625 C 4.84375 -4.796875 4.390625 -5.265625 3.59375 -5.265625 C 2.34375 -5.265625 0.53125 -4.140625 0.53125 -2.015625 C 0.53125 -0.75 1.25 0.125 2.34375 0.125 C 3.96875 0.125 5 -1.140625 5 -1.296875 Z M 4.484375 -4.265625 C 4.484375 -3.015625 2.5625 -3.015625 2.0625 -3.015625 L 1.5625 -3.015625 C 2.078125 -4.859375 3.21875 -5.03125 3.59375 -5.03125 C 4.125 -5.03125 4.484375 -4.71875 4.484375 -4.265625 Z M 4.484375 -4.265625 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-4">
<path d="M 5.09375 -4.546875 C 5.09375 -4.9375 4.71875 -5.265625 4.125 -5.265625 C 3.640625 -5.265625 3.09375 -5.0625 2.59375 -4.328125 C 2.515625 -4.953125 2.03125 -5.265625 1.546875 -5.265625 C 1.09375 -5.265625 0.84375 -4.90625 0.703125 -4.65625 C 0.5 -4.21875 0.328125 -3.5 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.8125 -5.03125 1.890625 -4.828125 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.5625 0.03125 1.640625 -0.203125 C 1.671875 -0.296875 2.109375 -2.109375 2.1875 -2.375 C 2.25 -2.640625 2.3125 -2.890625 2.375 -3.15625 L 2.515625 -3.671875 C 2.546875 -3.78125 2.875 -4.359375 3.171875 -4.625 C 3.3125 -4.75 3.625 -5.03125 4.109375 -5.03125 C 4.296875 -5.03125 4.5 -5 4.65625 -4.890625 C 4.28125 -4.8125 4.09375 -4.546875 4.09375 -4.296875 C 4.09375 -4 4.3125 -3.90625 4.484375 -3.90625 C 4.8125 -3.90625 5.09375 -4.203125 5.09375 -4.546875 Z M 5.09375 -4.546875 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-5">
<path d="M 5.453125 -3.28125 C 5.453125 -4.421875 4.703125 -5.265625 3.625 -5.265625 C 2.046875 -5.265625 0.484375 -3.546875 0.484375 -1.859375 C 0.484375 -0.734375 1.234375 0.125 2.3125 0.125 C 3.90625 0.125 5.453125 -1.609375 5.453125 -3.28125 Z M 4.65625 -3.71875 C 4.65625 -3.234375 4.40625 -1.953125 3.9375 -1.234375 C 3.453125 -0.4375 2.796875 -0.125 2.328125 -0.125 C 1.734375 -0.125 1.296875 -0.59375 1.296875 -1.4375 C 1.296875 -1.984375 1.578125 -3.203125 1.90625 -3.796875 C 2.453125 -4.71875 3.125 -5.03125 3.609375 -5.03125 C 4.203125 -5.03125 4.65625 -4.546875 4.65625 -3.71875 Z M 4.65625 -3.71875 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-6">
<path d="M 4.640625 -1.84375 C 4.640625 -2.015625 4.640625 -2.359375 4.25 -2.734375 C 3.953125 -3.03125 3.671875 -3.078125 3.03125 -3.21875 C 2.703125 -3.28125 2.1875 -3.390625 2.1875 -3.9375 C 2.1875 -4.171875 2.40625 -5.03125 3.53125 -5.03125 C 4.046875 -5.03125 4.53125 -4.84375 4.65625 -4.40625 C 4.125 -4.40625 4.09375 -3.9375 4.09375 -3.9375 C 4.09375 -3.6875 4.328125 -3.625 4.4375 -3.625 C 4.609375 -3.625 4.9375 -3.75 4.9375 -4.25 C 4.9375 -4.75 4.484375 -5.265625 3.546875 -5.265625 C 1.984375 -5.265625 1.5625 -4.046875 1.5625 -3.546875 C 1.5625 -2.640625 2.453125 -2.453125 2.71875 -2.390625 C 2.921875 -2.359375 3.25 -2.28125 3.328125 -2.265625 C 3.484375 -2.21875 4.015625 -2.03125 4.015625 -1.453125 C 4.015625 -1.09375 3.6875 -0.125 2.296875 -0.125 C 2.046875 -0.125 1.140625 -0.15625 0.90625 -0.8125 C 1.390625 -0.75 1.625 -1.125 1.625 -1.390625 C 1.625 -1.640625 1.453125 -1.765625 1.21875 -1.765625 C 0.953125 -1.765625 0.609375 -1.5625 0.609375 -1.03125 C 0.609375 -0.328125 1.328125 0.125 2.28125 0.125 C 4.09375 0.125 4.640625 -1.21875 4.640625 -1.84375 Z M 4.640625 -1.84375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-7">
<path d="M 3.640625 -1.703125 C 3.640625 -1.78125 3.578125 -1.8125 3.515625 -1.8125 C 3.515625 -1.8125 3.4375 -1.8125 3.421875 -1.765625 C 3.421875 -1.765625 3.390625 -1.75 3.3125 -1.546875 C 3.0625 -0.953125 2.515625 -0.125 1.8125 -0.125 C 1.453125 -0.125 1.4375 -0.421875 1.4375 -0.6875 C 1.4375 -0.6875 1.4375 -0.921875 1.46875 -1.0625 L 2.40625 -4.8125 L 3.5 -4.8125 C 3.734375 -4.8125 3.84375 -4.8125 3.84375 -5.015625 C 3.84375 -5.15625 3.78125 -5.15625 3.53125 -5.15625 L 2.484375 -5.15625 L 2.921875 -6.890625 C 2.96875 -7.0625 2.96875 -7.09375 2.96875 -7.171875 C 2.96875 -7.359375 2.828125 -7.46875 2.671875 -7.46875 C 2.5625 -7.46875 2.296875 -7.4375 2.203125 -7.046875 L 1.734375 -5.15625 L 0.609375 -5.15625 C 0.375 -5.15625 0.265625 -5.15625 0.265625 -4.921875 C 0.265625 -4.8125 0.34375 -4.8125 0.578125 -4.8125 L 1.640625 -4.8125 L 0.84375 -1.65625 C 0.75 -1.234375 0.71875 -1.109375 0.71875 -0.953125 C 0.71875 -0.390625 1.109375 0.125 1.78125 0.125 C 2.984375 0.125 3.640625 -1.625 3.640625 -1.703125 Z M 3.640625 -1.703125 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-8">
<path d="M 3.59375 -1.421875 C 3.53125 -1.21875 3.53125 -1.1875 3.375 -0.96875 C 3.109375 -0.640625 2.578125 -0.125 2.015625 -0.125 C 1.53125 -0.125 1.25 -0.5625 1.25 -1.265625 C 1.25 -1.921875 1.625 -3.265625 1.859375 -3.765625 C 2.265625 -4.609375 2.828125 -5.03125 3.28125 -5.03125 C 4.078125 -5.03125 4.234375 -4.046875 4.234375 -3.953125 C 4.234375 -3.953125 4.203125 -3.796875 4.1875 -3.765625 Z M 5.796875 -1.703125 C 5.796875 -1.765625 5.75 -1.8125 5.671875 -1.8125 C 5.5625 -1.8125 5.5625 -1.75 5.515625 -1.578125 C 5.328125 -0.875 5.109375 -0.125 4.609375 -0.125 C 4.265625 -0.125 4.25 -0.4375 4.25 -0.671875 C 4.25 -0.9375 4.28125 -1.078125 4.390625 -1.546875 L 4.625 -2.453125 C 5.0625 -4.25 5.171875 -4.671875 5.171875 -4.75 C 5.171875 -4.90625 5.046875 -5.046875 4.859375 -5.046875 C 4.484375 -5.046875 4.390625 -4.625 4.359375 -4.484375 C 4.234375 -4.796875 3.90625 -5.265625 3.28125 -5.265625 C 1.9375 -5.265625 0.484375 -3.53125 0.484375 -1.75 C 0.484375 -0.578125 1.171875 0.125 1.984375 0.125 C 2.640625 0.125 3.203125 -0.390625 3.53125 -0.78125 C 3.65625 -0.078125 4.21875 0.125 4.578125 0.125 C 4.9375 0.125 5.21875 -0.09375 5.4375 -0.53125 C 5.625 -0.9375 5.796875 -1.65625 5.796875 -1.703125 Z M 5.796875 -1.703125 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-9">
<path d="M 2.828125 -1.703125 C 2.828125 -1.765625 2.765625 -1.8125 2.703125 -1.8125 C 2.59375 -1.8125 2.578125 -1.75 2.53125 -1.578125 C 2.3125 -0.75 2.109375 -0.125 1.625 -0.125 C 1.265625 -0.125 1.265625 -0.5 1.265625 -0.671875 C 1.265625 -0.71875 1.265625 -0.96875 1.34375 -1.296875 L 3.03125 -8 C 3.046875 -8.046875 3.078125 -8.109375 3.078125 -8.171875 C 3.078125 -8.296875 2.921875 -8.296875 2.921875 -8.296875 L 2.265625 -8.234375 C 2.0625 -8.21875 1.890625 -8.203125 1.671875 -8.1875 C 1.390625 -8.15625 1.296875 -8.15625 1.296875 -7.9375 C 1.296875 -7.8125 1.421875 -7.8125 1.546875 -7.8125 C 2.15625 -7.8125 2.15625 -7.703125 2.15625 -7.59375 C 2.15625 -7.546875 2.15625 -7.515625 2.09375 -7.296875 L 0.609375 -1.375 C 0.578125 -1.25 0.546875 -1.140625 0.546875 -0.953125 C 0.546875 -0.359375 0.984375 0.125 1.609375 0.125 C 2 0.125 2.265625 -0.140625 2.453125 -0.515625 C 2.65625 -0.90625 2.828125 -1.65625 2.828125 -1.703125 Z M 2.828125 -1.703125 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-10">
<path d="M 7.546875 -2.9375 C 7.546875 -3.015625 7.484375 -3.0625 7.421875 -3.0625 C 7.421875 -3.0625 7.34375 -3.0625 7.328125 -3.015625 C 7.296875 -3 7.296875 -2.96875 7.203125 -2.75 C 6.828125 -1.703125 6.28125 -0.34375 4.265625 -0.34375 L 3.125 -0.34375 C 2.953125 -0.34375 2.921875 -0.34375 2.859375 -0.359375 C 2.71875 -0.375 2.71875 -0.390625 2.71875 -0.484375 C 2.71875 -0.578125 2.734375 -0.640625 2.765625 -0.75 L 4.390625 -7.25 C 4.5 -7.703125 4.53125 -7.8125 5.578125 -7.8125 C 5.90625 -7.8125 5.984375 -7.8125 5.984375 -8.046875 C 5.984375 -8.15625 5.859375 -8.15625 5.8125 -8.15625 C 5.5625 -8.15625 5.296875 -8.140625 5.0625 -8.140625 L 3.453125 -8.140625 C 3.234375 -8.140625 2.96875 -8.15625 2.734375 -8.15625 C 2.640625 -8.15625 2.515625 -8.15625 2.515625 -7.9375 C 2.515625 -7.8125 2.625 -7.8125 2.796875 -7.8125 C 3.53125 -7.8125 3.53125 -7.71875 3.53125 -7.59375 C 3.53125 -7.59375 3.53125 -7.5 3.484375 -7.3125 L 1.859375 -0.890625 C 1.75 -0.46875 1.734375 -0.34375 0.890625 -0.34375 C 0.671875 -0.34375 0.546875 -0.34375 0.546875 -0.125 C 0.546875 0 0.625 0 0.859375 0 L 6.21875 0 C 6.484375 0 6.484375 -0.015625 6.578125 -0.234375 L 7.5 -2.765625 C 7.515625 -2.828125 7.546875 -2.90625 7.546875 -2.9375 Z M 7.546875 -2.9375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-11">
<path d="M 7.671875 -6.578125 C 7.671875 -5.96875 7.359375 -4.203125 4.953125 -4.203125 L 3.609375 -4.203125 L 4.40625 -7.34375 C 4.5 -7.796875 4.546875 -7.8125 5.015625 -7.8125 L 5.875 -7.8125 C 6.90625 -7.8125 7.671875 -7.5 7.671875 -6.578125 Z M 8.84375 -1.09375 C 8.84375 -1.1875 8.78125 -1.21875 8.71875 -1.21875 C 8.625 -1.21875 8.59375 -1.140625 8.578125 -1.046875 C 8.28125 -0.203125 7.796875 0.015625 7.5 0.015625 C 7.203125 0.015625 7 -0.125 7 -0.65625 C 7 -0.9375 7.140625 -2.03125 7.15625 -2.09375 C 7.21875 -2.53125 7.21875 -2.578125 7.21875 -2.671875 C 7.21875 -3.546875 6.515625 -3.921875 6.0625 -4.0625 C 7.546875 -4.390625 8.703125 -5.34375 8.703125 -6.375 C 8.703125 -7.296875 7.75 -8.15625 6.09375 -8.15625 L 2.859375 -8.15625 C 2.625 -8.15625 2.515625 -8.15625 2.515625 -7.9375 C 2.515625 -7.8125 2.59375 -7.8125 2.828125 -7.8125 C 3.53125 -7.8125 3.53125 -7.71875 3.53125 -7.59375 C 3.53125 -7.59375 3.53125 -7.5 3.484375 -7.3125 L 1.875 -0.890625 C 1.765625 -0.46875 1.75 -0.34375 0.921875 -0.34375 C 0.640625 -0.34375 0.5625 -0.34375 0.5625 -0.125 C 0.5625 0 0.6875 0 0.734375 0 C 0.9375 0 1.1875 -0.03125 1.421875 -0.03125 L 2.828125 -0.03125 C 3.046875 -0.03125 3.296875 0 3.515625 0 C 3.609375 0 3.734375 0 3.734375 -0.234375 C 3.734375 -0.34375 3.640625 -0.34375 3.453125 -0.34375 C 2.71875 -0.34375 2.71875 -0.4375 2.71875 -0.5625 C 2.71875 -0.5625 2.71875 -0.65625 2.75 -0.75 L 3.546875 -3.96875 L 4.984375 -3.96875 C 6.125 -3.96875 6.328125 -3.25 6.328125 -2.859375 C 6.328125 -2.671875 6.21875 -2.21875 6.125 -1.90625 C 6 -1.34375 5.96875 -1.21875 5.96875 -0.984375 C 5.96875 -0.140625 6.65625 0.25 7.453125 0.25 C 8.421875 0.25 8.84375 -0.9375 8.84375 -1.09375 Z M 8.84375 -1.09375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-12">
<path d="M 4.8125 -3.390625 C 4.8125 -4.5 4.203125 -5.265625 3.296875 -5.265625 C 2.671875 -5.265625 2.109375 -4.75 1.890625 -4.515625 L 2.765625 -8 C 2.765625 -8.046875 2.796875 -8.109375 2.796875 -8.171875 C 2.796875 -8.296875 2.65625 -8.296875 2.65625 -8.296875 L 2 -8.234375 C 1.796875 -8.21875 1.609375 -8.203125 1.40625 -8.1875 C 1.109375 -8.15625 1.03125 -8.15625 1.03125 -7.9375 C 1.03125 -7.8125 1.140625 -7.8125 1.265625 -7.8125 C 1.875 -7.8125 1.875 -7.703125 1.875 -7.59375 C 1.875 -7.5 1.78125 -7.15625 1.734375 -6.9375 L 1.453125 -5.796875 L 0.59375 -2.390625 C 0.53125 -2.09375 0.53125 -1.890625 0.53125 -1.734375 C 0.53125 -0.515625 1.21875 0.125 2 0.125 C 3.375 0.125 4.8125 -1.65625 4.8125 -3.390625 Z M 3.40625 -1.34375 C 3.109375 -0.6875 2.5625 -0.125 2.015625 -0.125 C 1.625 -0.125 1.203125 -0.40625 1.203125 -1.34375 C 1.203125 -1.734375 1.25 -1.953125 1.453125 -2.796875 L 1.734375 -3.875 C 1.75 -3.96875 2.46875 -5.03125 3.28125 -5.03125 C 3.796875 -5.03125 4.046875 -4.5 4.046875 -3.890625 C 4.046875 -3.3125 3.703125 -1.953125 3.40625 -1.34375 Z M 3.40625 -1.34375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-13">
<path d="M 8.109375 0.109375 C 8.109375 0.03125 8.09375 -0.046875 7.875 -0.140625 L 1.71875 -2.96875 L 7.875 -5.828125 C 8.09375 -5.921875 8.109375 -6 8.109375 -6.078125 C 8.109375 -6.203125 8.015625 -6.296875 7.890625 -6.296875 C 7.890625 -6.296875 7.859375 -6.28125 7.6875 -6.21875 L 1.21875 -3.234375 C 1 -3.140625 0.984375 -3.0625 0.984375 -2.984375 C 0.984375 -2.90625 0.984375 -2.828125 1.21875 -2.71875 L 7.6875 0.25 C 7.84375 0.328125 7.890625 0.328125 7.890625 0.328125 C 8.015625 0.328125 8.109375 0.234375 8.109375 0.109375 Z M 8.109375 0.109375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph0-14">
<path d="M 6.640625 -1.703125 C 6.640625 -1.765625 6.59375 -1.8125 6.515625 -1.8125 C 6.40625 -1.8125 6.390625 -1.78125 6.328125 -1.578125 C 6.0625 -0.59375 5.609375 -0.125 5.140625 -0.125 C 5.015625 -0.125 4.828125 -0.125 4.828125 -0.515625 C 4.828125 -0.8125 4.953125 -1.171875 5.03125 -1.34375 C 5.265625 -2 5.765625 -3.328125 5.765625 -4.015625 C 5.765625 -4.734375 5.359375 -5.265625 4.453125 -5.265625 C 3.375 -5.265625 2.828125 -4.515625 2.609375 -4.21875 C 2.5625 -4.90625 2.078125 -5.265625 1.546875 -5.265625 C 1.171875 -5.265625 0.90625 -5.046875 0.703125 -4.640625 C 0.484375 -4.203125 0.328125 -3.484375 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.828125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.796875 -5.03125 1.890625 -4.84375 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.515625 0.046875 1.609375 -0.125 C 1.640625 -0.1875 1.75 -0.609375 1.8125 -0.84375 L 2.0625 -1.921875 L 2.46875 -3.5 C 2.484375 -3.578125 2.78125 -4.171875 3.234375 -4.546875 C 3.53125 -4.84375 3.9375 -5.03125 4.40625 -5.03125 C 4.890625 -5.03125 5.0625 -4.671875 5.0625 -4.203125 C 5.0625 -3.515625 4.5625 -2.15625 4.328125 -1.5 C 4.21875 -1.21875 4.15625 -1.0625 4.15625 -0.84375 C 4.15625 -0.3125 4.53125 0.125 5.109375 0.125 C 6.21875 0.125 6.640625 -1.640625 6.640625 -1.703125 Z M 6.640625 -1.703125 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph1-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues2.svg-glyph1-1">
<path d="M 2.375 -4.96875 C 2.375 -5.140625 2.25 -5.28125 2.0625 -5.28125 C 1.859375 -5.28125 1.625 -5.078125 1.625 -4.84375 C 1.625 -4.671875 1.75 -4.546875 1.9375 -4.546875 C 2.140625 -4.546875 2.375 -4.734375 2.375 -4.96875 Z M 2.53125 -1.140625 C 2.53125 -1.21875 2.46875 -1.25 2.40625 -1.25 C 2.3125 -1.25 2.296875 -1.1875 2.265625 -1.109375 C 2.09375 -0.46875 1.765625 -0.140625 1.4375 -0.140625 C 1.34375 -0.140625 1.25 -0.1875 1.25 -0.390625 C 1.25 -0.59375 1.3125 -0.734375 1.40625 -0.984375 L 1.90625 -2.265625 C 1.96875 -2.453125 2.078125 -2.703125 2.078125 -2.84375 C 2.078125 -3.234375 1.75 -3.515625 1.34375 -3.515625 C 0.578125 -3.515625 0.234375 -2.40625 0.234375 -2.296875 C 0.234375 -2.21875 0.296875 -2.1875 0.359375 -2.1875 C 0.46875 -2.1875 0.46875 -2.234375 0.5 -2.3125 C 0.71875 -3.078125 1.078125 -3.296875 1.328125 -3.296875 C 1.4375 -3.296875 1.515625 -3.25 1.515625 -3.03125 C 1.515625 -2.953125 1.5 -2.84375 1.421875 -2.59375 L 1.21875 -2.046875 C 1 -1.515625 1 -1.5 0.78125 -0.953125 C 0.734375 -0.828125 0.703125 -0.734375 0.703125 -0.59375 C 0.703125 -0.203125 1 0.078125 1.421875 0.078125 C 2.203125 0.078125 2.53125 -1.03125 2.53125 -1.140625 Z M 2.53125 -1.140625 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph1-2">
<path d="M 1.71875 -0.03125 C 1.71875 -0.53125 1.515625 -0.890625 1.171875 -0.890625 C 0.890625 -0.890625 0.734375 -0.65625 0.734375 -0.453125 C 0.734375 -0.21875 0.890625 0 1.171875 0 C 1.375 0 1.484375 -0.125 1.484375 -0.125 C 1.484375 0.390625 1.375 0.859375 0.890625 1.34375 C 0.859375 1.375 0.84375 1.390625 0.84375 1.421875 C 0.84375 1.484375 0.90625 1.53125 0.953125 1.53125 C 1.046875 1.53125 1.71875 0.90625 1.71875 -0.03125 Z M 1.71875 -0.03125 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph1-3">
<path d="M 6.34375 -5.390625 C 6.34375 -5.421875 6.359375 -5.46875 6.359375 -5.515625 C 6.359375 -5.5625 6.3125 -5.609375 6.265625 -5.609375 C 6.203125 -5.609375 6.1875 -5.59375 6.125 -5.515625 L 5.5625 -4.90625 C 5.484375 -5 5.0625 -5.609375 4.140625 -5.609375 C 2.28125 -5.609375 0.421875 -3.890625 0.421875 -2.0625 C 0.421875 -0.671875 1.46875 0.171875 2.734375 0.171875 C 3.78125 0.171875 4.671875 -0.46875 5.09375 -1.09375 C 5.359375 -1.484375 5.46875 -1.859375 5.46875 -1.90625 C 5.46875 -1.984375 5.421875 -2.015625 5.34375 -2.015625 C 5.25 -2.015625 5.234375 -1.96875 5.21875 -1.890625 C 4.875 -0.78125 3.796875 -0.09375 2.84375 -0.09375 C 2.03125 -0.09375 1.171875 -0.578125 1.171875 -1.796875 C 1.171875 -2.046875 1.265625 -3.375 2.15625 -4.375 C 2.75 -5.046875 3.5625 -5.34375 4.1875 -5.34375 C 5.203125 -5.34375 5.609375 -4.546875 5.609375 -3.78125 C 5.609375 -3.671875 5.578125 -3.515625 5.578125 -3.421875 C 5.578125 -3.328125 5.6875 -3.328125 5.71875 -3.328125 C 5.8125 -3.328125 5.828125 -3.359375 5.859375 -3.5 Z M 6.34375 -5.390625 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph1-4">
<path d="M 4.640625 -1.828125 C 4.640625 -2.203125 4.515625 -2.484375 4.296875 -2.703125 C 4.0625 -2.96875 3.796875 -3.03125 3.421875 -3.125 L 2.703125 -3.3125 C 2.46875 -3.359375 2.015625 -3.515625 2.015625 -4.078125 C 2.015625 -4.703125 2.6875 -5.375 3.5 -5.375 C 4.21875 -5.375 4.703125 -5 4.703125 -4.140625 C 4.703125 -3.9375 4.671875 -3.78125 4.671875 -3.75 C 4.671875 -3.65625 4.75 -3.640625 4.8125 -3.640625 C 4.90625 -3.640625 4.90625 -3.671875 4.9375 -3.796875 L 5.34375 -5.390625 C 5.359375 -5.421875 5.375 -5.46875 5.375 -5.515625 C 5.375 -5.5625 5.328125 -5.609375 5.265625 -5.609375 C 5.21875 -5.609375 5.203125 -5.59375 5.109375 -5.5 C 5.015625 -5.390625 4.8125 -5.140625 4.71875 -5.046875 C 4.421875 -5.5 3.90625 -5.609375 3.5 -5.609375 C 2.40625 -5.609375 1.453125 -4.671875 1.453125 -3.765625 C 1.453125 -3.3125 1.703125 -3.03125 1.734375 -2.984375 C 2 -2.703125 2.234375 -2.640625 2.8125 -2.5 C 3.078125 -2.4375 3.09375 -2.4375 3.328125 -2.375 C 3.5625 -2.3125 4.078125 -2.1875 4.078125 -1.53125 C 4.078125 -0.84375 3.390625 -0.09375 2.546875 -0.09375 C 2.03125 -0.09375 1.078125 -0.25 1.078125 -1.25 C 1.078125 -1.265625 1.078125 -1.4375 1.125 -1.625 L 1.140625 -1.703125 C 1.140625 -1.796875 1.046875 -1.8125 1.015625 -1.8125 C 0.921875 -1.8125 0.90625 -1.78125 0.875 -1.59375 L 0.546875 -0.296875 C 0.515625 -0.171875 0.453125 0.046875 0.453125 0.0625 C 0.453125 0.125 0.5 0.171875 0.5625 0.171875 C 0.609375 0.171875 0.625 0.15625 0.703125 0.0625 C 0.765625 -0.015625 0.75 -0.015625 1.09375 -0.390625 C 1.28125 -0.15625 1.734375 0.171875 2.53125 0.171875 C 3.6875 0.171875 4.640625 -0.875 4.640625 -1.828125 Z M 4.640625 -1.828125 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph1-5">
<path d="M 3.34375 -1.234375 C 3.34375 -1.953125 2.5625 -2.109375 2.265625 -2.15625 C 1.875 -2.234375 1.5625 -2.28125 1.5625 -2.625 C 1.5625 -2.765625 1.703125 -3.296875 2.484375 -3.296875 C 2.78125 -3.296875 3.09375 -3.203125 3.21875 -3 C 3.03125 -2.96875 2.859375 -2.828125 2.859375 -2.625 C 2.859375 -2.484375 2.953125 -2.375 3.125 -2.375 C 3.25 -2.375 3.5 -2.46875 3.5 -2.828125 C 3.5 -3.3125 2.984375 -3.515625 2.484375 -3.515625 C 1.421875 -3.515625 1.078125 -2.75 1.078125 -2.34375 C 1.078125 -2.265625 1.078125 -1.984375 1.375 -1.765625 C 1.5625 -1.625 1.703125 -1.59375 2.109375 -1.515625 C 2.390625 -1.453125 2.84375 -1.375 2.84375 -0.96875 C 2.84375 -0.75 2.6875 -0.5 2.46875 -0.34375 C 2.171875 -0.15625 1.78125 -0.140625 1.65625 -0.140625 C 1.46875 -0.140625 0.921875 -0.171875 0.71875 -0.5 C 1.125 -0.515625 1.1875 -0.84375 1.1875 -0.9375 C 1.1875 -1.171875 0.96875 -1.234375 0.875 -1.234375 C 0.75 -1.234375 0.421875 -1.125 0.421875 -0.6875 C 0.421875 -0.21875 0.921875 0.078125 1.65625 0.078125 C 3.046875 0.078125 3.34375 -0.90625 3.34375 -1.234375 Z M 3.34375 -1.234375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph2-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues2.svg-glyph2-1">
<path d="M 6.109375 -1.984375 C 6.109375 -2.171875 5.921875 -2.171875 5.8125 -2.171875 L 3.46875 -2.171875 L 3.46875 -4.53125 C 3.46875 -4.640625 3.46875 -4.8125 3.296875 -4.8125 C 3.109375 -4.8125 3.109375 -4.640625 3.109375 -4.53125 L 3.109375 -2.171875 L 0.75 -2.171875 C 0.640625 -2.171875 0.46875 -2.171875 0.46875 -1.984375 C 0.46875 -1.8125 0.640625 -1.8125 0.75 -1.8125 L 3.109375 -1.8125 L 3.109375 0.546875 C 3.109375 0.65625 3.109375 0.828125 3.296875 0.828125 C 3.46875 0.828125 3.46875 0.65625 3.46875 0.546875 L 3.46875 -1.8125 L 5.8125 -1.8125 C 5.921875 -1.8125 6.109375 -1.8125 6.109375 -1.984375 Z M 6.109375 -1.984375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph2-2">
<path d="M 3.5625 0 L 3.5625 -0.265625 L 3.28125 -0.265625 C 2.53125 -0.265625 2.5 -0.359375 2.5 -0.65625 L 2.5 -5.078125 C 2.5 -5.296875 2.484375 -5.296875 2.265625 -5.296875 C 1.9375 -4.984375 1.515625 -4.796875 0.765625 -4.796875 L 0.765625 -4.53125 C 0.984375 -4.53125 1.40625 -4.53125 1.875 -4.734375 L 1.875 -0.65625 C 1.875 -0.359375 1.84375 -0.265625 1.09375 -0.265625 L 0.8125 -0.265625 L 0.8125 0 C 1.140625 -0.03125 1.828125 -0.03125 2.1875 -0.03125 C 2.546875 -0.03125 3.234375 -0.03125 3.5625 0 Z M 3.5625 0 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph3-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues2.svg-glyph3-1">
<path d="M 2.078125 -3.734375 C 2.078125 -3.875 1.96875 -3.96875 1.84375 -3.96875 C 1.671875 -3.96875 1.5 -3.8125 1.5 -3.640625 C 1.5 -3.5 1.609375 -3.40625 1.734375 -3.40625 C 1.9375 -3.40625 2.078125 -3.578125 2.078125 -3.734375 Z M 2.296875 -0.859375 C 2.296875 -0.859375 2.296875 -0.953125 2.1875 -0.953125 C 2.09375 -0.953125 2.09375 -0.921875 2.0625 -0.796875 C 1.96875 -0.5 1.71875 -0.140625 1.40625 -0.140625 C 1.296875 -0.140625 1.25 -0.203125 1.25 -0.359375 C 1.25 -0.46875 1.28125 -0.5625 1.359375 -0.75 L 1.71875 -1.640625 C 1.75 -1.703125 1.796875 -1.84375 1.828125 -1.90625 C 1.84375 -1.953125 1.859375 -2.015625 1.859375 -2.125 C 1.859375 -2.453125 1.5625 -2.640625 1.265625 -2.640625 C 0.65625 -2.640625 0.359375 -1.84375 0.359375 -1.71875 C 0.359375 -1.6875 0.390625 -1.640625 0.46875 -1.640625 C 0.5625 -1.640625 0.578125 -1.671875 0.59375 -1.71875 C 0.765625 -2.296875 1.078125 -2.4375 1.25 -2.4375 C 1.359375 -2.4375 1.40625 -2.359375 1.40625 -2.21875 C 1.40625 -2.109375 1.375 -2.015625 1.359375 -1.96875 L 1.046875 -1.203125 C 0.96875 -1.03125 0.96875 -1.015625 0.890625 -0.8125 C 0.8125 -0.640625 0.796875 -0.5625 0.796875 -0.453125 C 0.796875 -0.15625 1.0625 0.0625 1.390625 0.0625 C 2 0.0625 2.296875 -0.734375 2.296875 -0.859375 Z M 2.296875 -0.859375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph3-2">
<path d="M 1.578125 -0.046875 C 1.578125 -0.4375 1.421875 -0.71875 1.125 -0.71875 C 0.890625 -0.71875 0.765625 -0.53125 0.765625 -0.359375 C 0.765625 -0.1875 0.890625 0 1.140625 0 C 1.234375 0 1.3125 -0.03125 1.375 -0.078125 C 1.375 0.484375 1.078125 0.8125 0.921875 0.953125 C 0.875 1 0.84375 1.015625 0.84375 1.046875 C 0.84375 1.109375 0.90625 1.15625 0.953125 1.15625 C 1.03125 1.15625 1.578125 0.6875 1.578125 -0.046875 Z M 1.578125 -0.046875 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph3-3">
<path d="M 4.96875 -2.609375 L 5.3125 -4.046875 C 5.328125 -4.09375 5.34375 -4.125 5.34375 -4.125 C 5.34375 -4.125 5.328125 -4.21875 5.25 -4.21875 C 5.203125 -4.21875 5.1875 -4.203125 5.140625 -4.140625 L 4.6875 -3.671875 C 4.359375 -4.078125 3.921875 -4.21875 3.5 -4.21875 C 1.96875 -4.21875 0.515625 -2.9375 0.515625 -1.59375 C 0.515625 -0.5625 1.34375 0.125 2.453125 0.125 C 3.078125 0.125 3.625 -0.125 3.984375 -0.40625 C 4.578125 -0.875 4.671875 -1.40625 4.671875 -1.4375 C 4.671875 -1.5 4.609375 -1.53125 4.5625 -1.53125 C 4.484375 -1.53125 4.46875 -1.5 4.453125 -1.4375 C 4.15625 -0.515625 3.21875 -0.109375 2.5625 -0.109375 C 2.109375 -0.109375 1.140625 -0.296875 1.140625 -1.4375 C 1.140625 -1.671875 1.1875 -2.5 1.84375 -3.21875 C 2.171875 -3.578125 2.8125 -3.96875 3.546875 -3.96875 C 4.328125 -3.96875 4.734375 -3.421875 4.734375 -2.796875 C 4.734375 -2.6875 4.703125 -2.578125 4.703125 -2.578125 C 4.703125 -2.484375 4.796875 -2.484375 4.828125 -2.484375 C 4.90625 -2.484375 4.9375 -2.484375 4.96875 -2.609375 Z M 4.96875 -2.609375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph4-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues2.svg-glyph4-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph4-2">
<path d="M 8.78125 1.625 L 8.78125 1.359375 L 0 1.359375 L 0 1.625 Z M 8.78125 1.625 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph4-3">
<path d="M 5.359375 -3.828125 C 5.359375 -4.8125 5.296875 -5.78125 4.859375 -6.6875 C 4.375 -7.6875 3.515625 -7.953125 2.921875 -7.953125 C 2.234375 -7.953125 1.390625 -7.609375 0.9375 -6.609375 C 0.609375 -5.859375 0.484375 -5.109375 0.484375 -3.828125 C 0.484375 -2.671875 0.578125 -1.796875 1 -0.9375 C 1.46875 -0.03125 2.296875 0.25 2.921875 0.25 C 3.953125 0.25 4.546875 -0.375 4.90625 -1.0625 C 5.328125 -1.953125 5.359375 -3.125 5.359375 -3.828125 Z M 4.453125 -3.96875 C 4.453125 -3.171875 4.453125 -2.265625 4.3125 -1.53125 C 4.09375 -0.21875 3.328125 0.015625 2.921875 0.015625 C 2.53125 0.015625 1.75 -0.203125 1.53125 -1.5 C 1.40625 -2.21875 1.40625 -3.125 1.40625 -3.96875 C 1.40625 -4.953125 1.40625 -5.828125 1.59375 -6.53125 C 1.796875 -7.34375 2.40625 -7.703125 2.921875 -7.703125 C 3.375 -7.703125 4.0625 -7.4375 4.296875 -6.40625 C 4.453125 -5.71875 4.453125 -4.78125 4.453125 -3.96875 Z M 4.453125 -3.96875 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph4-4">
<path d="M 8.453125 -2.96875 C 8.453125 -3.203125 8.25 -3.203125 8.0625 -3.203125 L 4.765625 -3.203125 L 4.765625 -6.5 C 4.765625 -6.671875 4.765625 -6.890625 4.546875 -6.890625 C 4.328125 -6.890625 4.328125 -6.6875 4.328125 -6.5 L 4.328125 -3.203125 L 1.03125 -3.203125 C 0.859375 -3.203125 0.640625 -3.203125 0.640625 -2.984375 C 0.640625 -2.765625 0.84375 -2.765625 1.03125 -2.765625 L 4.328125 -2.765625 L 4.328125 0.53125 C 4.328125 0.703125 4.328125 0.921875 4.546875 0.921875 C 4.765625 0.921875 4.765625 0.71875 4.765625 0.53125 L 4.765625 -2.765625 L 8.0625 -2.765625 C 8.234375 -2.765625 8.453125 -2.765625 8.453125 -2.96875 Z M 8.453125 -2.96875 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph4-5">
<path d="M 4.90625 0 L 4.90625 -0.34375 L 4.53125 -0.34375 C 3.484375 -0.34375 3.4375 -0.484375 3.4375 -0.921875 L 3.4375 -7.65625 C 3.4375 -7.9375 3.4375 -7.953125 3.203125 -7.953125 C 2.921875 -7.625 2.3125 -7.1875 1.09375 -7.1875 L 1.09375 -6.84375 C 1.359375 -6.84375 1.953125 -6.84375 2.625 -7.140625 L 2.625 -0.921875 C 2.625 -0.484375 2.578125 -0.34375 1.53125 -0.34375 L 1.15625 -0.34375 L 1.15625 0 C 1.484375 -0.03125 2.640625 -0.03125 3.03125 -0.03125 C 3.4375 -0.03125 4.578125 -0.03125 4.90625 0 Z M 4.90625 0 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph5-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues2.svg-glyph5-1">
<path d="M 7.296875 0.03125 C 7.296875 -0.015625 7.296875 -0.03125 7.21875 -0.171875 L 4.25 -6.90625 C 4.203125 -7.03125 4.140625 -7.140625 3.984375 -7.140625 C 3.875 -7.140625 3.796875 -7.09375 3.71875 -6.921875 L 0.734375 -0.171875 C 0.671875 -0.03125 0.671875 -0.015625 0.671875 0.03125 C 0.671875 0.15625 0.78125 0.265625 0.90625 0.265625 C 0.984375 0.265625 1.09375 0.234375 1.171875 0.03125 L 3.984375 -6.328125 L 6.796875 0.03125 C 6.84375 0.15625 6.890625 0.265625 7.046875 0.265625 C 7.1875 0.265625 7.296875 0.15625 7.296875 0.03125 Z M 7.296875 0.03125 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph5-2">
<path d="M 8.296875 -2.984375 C 8.296875 -3.234375 8.0625 -3.234375 7.90625 -3.234375 L 1.390625 -3.234375 C 1.21875 -3.234375 0.984375 -3.234375 0.984375 -2.984375 C 0.984375 -2.75 1.21875 -2.75 1.390625 -2.75 L 7.90625 -2.75 C 8.0625 -2.75 8.296875 -2.75 8.296875 -2.984375 Z M 8.296875 -2.984375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph5-3">
<path d="M 11.265625 -1.828125 C 11.265625 -2.0625 11.046875 -2.0625 10.859375 -2.0625 L 3.5 -2.0625 C 3.3125 -2.0625 3.28125 -2.0625 3.125 -2.1875 C 2.5625 -2.609375 2.015625 -2.875 1.765625 -2.984375 C 2.015625 -3.09375 2.5625 -3.375 3.140625 -3.796875 C 3.28125 -3.90625 3.3125 -3.90625 3.5 -3.90625 L 10.859375 -3.90625 C 11.046875 -3.90625 11.265625 -3.90625 11.265625 -4.140625 C 11.265625 -4.390625 11.046875 -4.390625 10.875 -4.390625 L 3.828125 -4.390625 C 4.796875 -5.4375 5.015625 -6.09375 5.015625 -6.125 C 5.015625 -6.28125 4.890625 -6.28125 4.78125 -6.28125 C 4.609375 -6.28125 4.609375 -6.265625 4.484375 -6.046875 C 3.875 -4.890625 2.765625 -3.6875 0.890625 -3.140625 C 0.734375 -3.109375 0.6875 -3.078125 0.6875 -2.984375 C 0.6875 -2.890625 0.734375 -2.875 0.875 -2.828125 C 2.78125 -2.296875 3.859375 -1.09375 4.453125 0 C 4.578125 0.234375 4.578125 0.25 4.609375 0.265625 C 4.65625 0.296875 4.703125 0.296875 4.78125 0.296875 C 4.890625 0.296875 5.015625 0.296875 5.015625 0.15625 C 5.015625 0.15625 4.796875 -0.53125 3.828125 -1.59375 L 10.875 -1.59375 C 11.046875 -1.59375 11.265625 -1.59375 11.265625 -1.828125 Z M 11.265625 -1.828125 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph5-4">
<path d="M 11.265625 -2.984375 C 11.265625 -3.078125 11.203125 -3.109375 11.0625 -3.140625 C 9.15625 -3.6875 8.078125 -4.890625 7.5 -5.96875 C 7.359375 -6.203125 7.359375 -6.234375 7.34375 -6.234375 C 7.296875 -6.28125 7.234375 -6.28125 7.15625 -6.28125 C 7.046875 -6.28125 6.921875 -6.28125 6.921875 -6.125 C 6.921875 -6.125 7.140625 -5.453125 8.109375 -4.390625 L 1.0625 -4.390625 C 0.890625 -4.390625 0.671875 -4.390625 0.671875 -4.140625 C 0.671875 -3.90625 0.890625 -3.90625 1.078125 -3.90625 L 8.4375 -3.90625 C 8.625 -3.90625 8.65625 -3.90625 8.8125 -3.796875 C 9.375 -3.375 9.9375 -3.09375 10.171875 -2.984375 C 9.921875 -2.875 9.375 -2.609375 8.796875 -2.1875 C 8.65625 -2.0625 8.625 -2.0625 8.4375 -2.0625 L 1.078125 -2.0625 C 0.890625 -2.0625 0.671875 -2.0625 0.671875 -1.828125 C 0.671875 -1.59375 0.890625 -1.59375 1.0625 -1.59375 L 8.109375 -1.59375 C 7.140625 -0.53125 6.921875 0.125 6.921875 0.15625 C 6.921875 0.296875 7.046875 0.296875 7.15625 0.296875 C 7.34375 0.296875 7.34375 0.28125 7.453125 0.078125 C 8.0625 -1.09375 9.171875 -2.296875 11.0625 -2.828125 C 11.203125 -2.875 11.265625 -2.890625 11.265625 -2.984375 Z M 11.265625 -2.984375 "></path>
</g>
<g id="rangebinaryvalues2.svg-glyph5-5">
<path d="M 8.296875 -4.140625 C 8.296875 -4.296875 8.1875 -4.34375 8.0625 -4.40625 L 1.453125 -7.515625 C 1.296875 -7.609375 1.265625 -7.609375 1.234375 -7.609375 C 1.09375 -7.609375 0.984375 -7.5 0.984375 -7.359375 C 0.984375 -7.21875 1.0625 -7.1875 1.21875 -7.109375 L 7.5 -4.140625 L 1.203125 -1.171875 C 1.09375 -1.125 0.984375 -1.078125 0.984375 -0.921875 C 0.984375 -0.78125 1.09375 -0.6875 1.234375 -0.6875 C 1.28125 -0.6875 1.296875 -0.6875 1.4375 -0.75 L 8.0625 -3.890625 C 8.171875 -3.9375 8.296875 -4 8.296875 -4.140625 Z M 8.296875 1.40625 C 8.296875 1.15625 8.0625 1.15625 7.890625 1.15625 L 1.40625 1.15625 C 1.234375 1.15625 0.984375 1.15625 0.984375 1.40625 C 0.984375 1.640625 1.21875 1.640625 1.390625 1.640625 L 7.90625 1.640625 C 8.0625 1.640625 8.296875 1.640625 8.296875 1.40625 Z M 8.296875 1.40625 "></path>
</g>
</g>
</defs>
<g id="rangebinaryvalues2.svg-surface1">
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-1" x="-0.164" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="7.035" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph2-1" x="9.918" y="10.61"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph2-2" x="16.504491" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-2" x="20.739" y="10.61"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-3" x="23.090977" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-1" x="29.126" y="11.825"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="36.107" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-2" x="48.533" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-3" x="54.497449" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-4" x="59.934674" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-5" x="65.533294" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-2" x="71.157" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-6" x="79.932" y="8.817"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-7" x="85.445738" y="8.817"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-8" x="89.673097" y="8.817"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-7" x="95.81807" y="8.817"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-3" x="100.045428" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-4" x="105.471" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-1" x="110.621" y="11.95"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-2" x="113.284619" y="11.95"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-3" x="115.553716" y="11.95"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-1" x="120.836" y="13.851"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-1" x="134.957" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-9" x="177.747" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="181.497" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="188.199" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-10" x="200.625" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="208.589" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-1" x="246.791" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-7" x="264.723" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="268.95" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="275.653" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-11" x="288.078" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="296.988" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-2" x="303.026" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-4" x="314.981" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="320.257" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-3" x="333.601" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="343.563" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-12" x="362.631" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="367.608" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="374.31" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-3" x="386.738626" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-3" x="402.551" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-4" x="412.509682" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-10" x="434.529" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="442.493" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-13" x="449.195" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-11" x="461.623626" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="470.531" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-2" x="476.569" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-4" x="488.524" y="8.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="493.799" y="10.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-1" x="7.065" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="14.264" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph2-1" x="17.147" y="25.756"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph2-2" x="23.733491" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-2" x="27.968" y="25.756"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-3" x="30.319977" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-1" x="36.356" y="26.971"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="43.336" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-5" x="55.762" y="23.963"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-14" x="61.389313" y="23.963"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-3" x="68.377127" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-5" x="73.803" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-7" x="78.217" y="23.963"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-8" x="82.444359" y="23.963"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-7" x="88.589332" y="23.963"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-3" x="92.81669" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-4" x="98.241" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-1" x="103.392" y="27.096"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-2" x="106.055619" y="27.096"></use>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-3" x="108.324716" y="27.096"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph3-1" x="113.607" y="28.997"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-1" x="134.957" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-9" x="152.889" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="156.376" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="163.078" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-10" x="175.504" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="183.469" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-2" x="189.507" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-11" x="201.462" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="210.372" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-4" x="216.41" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-4" x="228.171" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="233.447" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-1" x="246.791" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-7" x="278.175" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="282.402" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="289.104" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-4" x="301.53" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="306.805" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-3" x="333.601" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="343.563" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-12" x="362.631" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="367.608" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-1" x="374.31" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph4-5" x="386.738626" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-3" x="402.551" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-4" x="412.509682" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-10" x="434.432" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="442.397" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-5" x="449.099" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-11" x="461.718" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="470.628" y="25.756"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph5-2" x="476.666" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph0-4" x="488.621" y="23.963"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues2.svg-glyph1-1" x="493.896" y="25.756"></use>
</g>
</g>
</svg><a href="#section-3.8.1.1-3.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-9" class="selfRef">Figure 9</a></figcaption></figure>
<figure id="figure-10">
<div id="section-3.8.1.1-4.1">
<div class="artwork art-svg alignLeft" id="section-3.8.1.1-4.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="134pt" height="13pt" viewBox="0 0 134 13" version="1.1">
<defs>
<g>
<g id="rangebinaryvalues3.svg-glyph0-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues3.svg-glyph0-1">
<path d="M 6.453125 -2.734375 C 6.453125 -3.234375 6.328125 -3.6875 5.875 -4.125 C 5.625 -4.375 5.421875 -4.4375 4.3125 -4.71875 C 3.515625 -4.9375 3.40625 -4.96875 3.1875 -5.15625 C 2.984375 -5.359375 2.828125 -5.65625 2.828125 -6.0625 C 2.828125 -7.0625 3.84375 -8.09375 4.984375 -8.09375 C 6.15625 -8.09375 6.703125 -7.375 6.703125 -6.234375 C 6.703125 -5.921875 6.640625 -5.609375 6.640625 -5.5625 C 6.640625 -5.453125 6.734375 -5.453125 6.78125 -5.453125 C 6.890625 -5.453125 6.890625 -5.484375 6.9375 -5.671875 L 7.59375 -8.3125 C 7.59375 -8.421875 7.484375 -8.421875 7.484375 -8.421875 C 7.4375 -8.421875 7.421875 -8.40625 7.28125 -8.21875 L 6.703125 -7.5 C 6.3125 -8.28125 5.515625 -8.421875 5.015625 -8.421875 C 3.5 -8.421875 2.125 -7.03125 2.125 -5.671875 C 2.125 -4.78125 2.671875 -4.25 3.25 -4.046875 C 3.375 -4 4.09375 -3.8125 4.453125 -3.734375 C 5.0625 -3.5625 5.21875 -3.515625 5.46875 -3.25 C 5.515625 -3.1875 5.75 -2.921875 5.75 -2.359375 C 5.75 -1.25 4.71875 -0.09375 3.53125 -0.09375 C 2.546875 -0.09375 1.453125 -0.515625 1.453125 -1.859375 C 1.453125 -2.078125 1.5 -2.359375 1.546875 -2.484375 C 1.546875 -2.515625 1.546875 -2.609375 1.546875 -2.609375 C 1.546875 -2.65625 1.53125 -2.71875 1.4375 -2.71875 C 1.328125 -2.71875 1.3125 -2.6875 1.265625 -2.484375 L 0.65625 -0.03125 L 0.609375 0.140625 C 0.609375 0.25 0.734375 0.25 0.734375 0.25 C 0.78125 0.25 0.78125 0.234375 0.9375 0.0625 L 1.484375 -0.65625 C 1.765625 -0.234375 2.390625 0.25 3.5 0.25 C 5.046875 0.25 6.453125 -1.25 6.453125 -2.734375 Z M 6.453125 -2.734375 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph0-2">
<path d="M 7.578125 -2.875 C 7.578125 -2.96875 7.484375 -2.96875 7.453125 -2.96875 C 7.34375 -2.96875 7.328125 -2.90625 7.296875 -2.859375 C 6.75 -0.984375 5.140625 -0.09375 3.9375 -0.09375 C 2.671875 -0.09375 1.578125 -0.90625 1.578125 -2.609375 C 1.578125 -2.984375 1.703125 -5.0625 3.046875 -6.640625 C 3.703125 -7.40625 4.828125 -8.0625 5.96875 -8.0625 C 7.28125 -8.0625 7.859375 -6.984375 7.859375 -5.765625 C 7.859375 -5.453125 7.828125 -5.1875 7.828125 -5.140625 C 7.828125 -5.03125 7.953125 -5.03125 7.984375 -5.03125 C 8.109375 -5.03125 8.125 -5.046875 8.171875 -5.265625 L 8.921875 -8.3125 C 8.921875 -8.421875 8.828125 -8.421875 8.828125 -8.421875 C 8.828125 -8.421875 8.75 -8.421875 8.65625 -8.296875 L 7.828125 -7.296875 C 7.40625 -8.015625 6.75 -8.421875 5.859375 -8.421875 C 3.28125 -8.421875 0.59375 -5.796875 0.59375 -2.984375 C 0.59375 -0.984375 2 0.25 3.734375 0.25 C 4.703125 0.25 5.53125 -0.15625 6.234375 -0.734375 C 7.265625 -1.609375 7.578125 -2.765625 7.578125 -2.875 Z M 7.578125 -2.875 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph0-3">
<path d="M 5.734375 -1.703125 C 5.734375 -1.765625 5.6875 -1.8125 5.625 -1.8125 C 5.515625 -1.8125 5.5 -1.765625 5.453125 -1.578125 C 5.28125 -0.953125 5.03125 -0.125 4.421875 -0.125 C 4.1875 -0.125 4.03125 -0.234375 4.03125 -0.6875 C 4.03125 -0.921875 4.078125 -1.1875 4.125 -1.359375 C 4.171875 -1.578125 4.171875 -1.59375 4.171875 -1.734375 C 4.171875 -2.4375 3.53125 -2.828125 2.4375 -2.96875 C 2.875 -3.234375 3.296875 -3.703125 3.46875 -3.890625 C 4.140625 -4.65625 4.609375 -5.03125 5.15625 -5.03125 C 5.4375 -5.03125 5.515625 -4.953125 5.59375 -4.890625 C 5.15625 -4.84375 4.984375 -4.53125 4.984375 -4.296875 C 4.984375 -4 5.21875 -3.90625 5.375 -3.90625 C 5.703125 -3.90625 5.984375 -4.1875 5.984375 -4.5625 C 5.984375 -4.90625 5.71875 -5.265625 5.171875 -5.265625 C 4.515625 -5.265625 3.984375 -4.8125 3.125 -3.84375 C 3.015625 -3.703125 2.5625 -3.25 2.125 -3.078125 L 3.359375 -8 C 3.375 -8.046875 3.390625 -8.109375 3.390625 -8.171875 C 3.390625 -8.296875 3.25 -8.296875 3.25 -8.296875 L 2.59375 -8.234375 C 2.390625 -8.21875 2.21875 -8.203125 2 -8.1875 C 1.703125 -8.15625 1.625 -8.15625 1.625 -7.9375 C 1.625 -7.8125 1.75 -7.8125 1.859375 -7.8125 C 2.46875 -7.8125 2.46875 -7.703125 2.46875 -7.59375 C 2.46875 -7.546875 2.46875 -7.515625 2.421875 -7.296875 L 0.703125 -0.46875 C 0.65625 -0.28125 0.65625 -0.265625 0.65625 -0.1875 C 0.65625 0.078125 0.859375 0.125 0.984375 0.125 C 1.3125 0.125 1.390625 -0.140625 1.484375 -0.515625 C 1.59375 -0.953125 1.546875 -0.78125 2.046875 -2.75 C 2.90625 -2.65625 3.421875 -2.296875 3.421875 -1.71875 C 3.421875 -1.65625 3.421875 -1.609375 3.375 -1.421875 C 3.328125 -1.25 3.328125 -1.09375 3.328125 -1.046875 C 3.328125 -0.34375 3.796875 0.125 4.40625 0.125 C 4.953125 0.125 5.234375 -0.375 5.328125 -0.546875 C 5.578125 -0.984375 5.734375 -1.65625 5.734375 -1.703125 Z M 5.734375 -1.703125 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph1-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues3.svg-glyph1-1">
<path d="M 2.375 -4.96875 C 2.375 -5.140625 2.25 -5.28125 2.0625 -5.28125 C 1.859375 -5.28125 1.625 -5.078125 1.625 -4.84375 C 1.625 -4.671875 1.75 -4.546875 1.9375 -4.546875 C 2.140625 -4.546875 2.375 -4.734375 2.375 -4.96875 Z M 2.53125 -1.140625 C 2.53125 -1.21875 2.46875 -1.25 2.40625 -1.25 C 2.3125 -1.25 2.296875 -1.1875 2.265625 -1.109375 C 2.09375 -0.46875 1.765625 -0.140625 1.4375 -0.140625 C 1.34375 -0.140625 1.25 -0.1875 1.25 -0.390625 C 1.25 -0.59375 1.3125 -0.734375 1.40625 -0.984375 L 1.90625 -2.265625 C 1.96875 -2.453125 2.078125 -2.703125 2.078125 -2.84375 C 2.078125 -3.234375 1.75 -3.515625 1.34375 -3.515625 C 0.578125 -3.515625 0.234375 -2.40625 0.234375 -2.296875 C 0.234375 -2.21875 0.296875 -2.1875 0.359375 -2.1875 C 0.46875 -2.1875 0.46875 -2.234375 0.5 -2.3125 C 0.71875 -3.078125 1.078125 -3.296875 1.328125 -3.296875 C 1.4375 -3.296875 1.515625 -3.25 1.515625 -3.03125 C 1.515625 -2.953125 1.5 -2.84375 1.421875 -2.59375 L 1.21875 -2.046875 C 1 -1.515625 1 -1.5 0.78125 -0.953125 C 0.734375 -0.828125 0.703125 -0.734375 0.703125 -0.59375 C 0.703125 -0.203125 1 0.078125 1.421875 0.078125 C 2.203125 0.078125 2.53125 -1.03125 2.53125 -1.140625 Z M 2.53125 -1.140625 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph1-2">
<path d="M 1.71875 -0.03125 C 1.71875 -0.53125 1.515625 -0.890625 1.171875 -0.890625 C 0.890625 -0.890625 0.734375 -0.65625 0.734375 -0.453125 C 0.734375 -0.21875 0.890625 0 1.171875 0 C 1.375 0 1.484375 -0.125 1.484375 -0.125 C 1.484375 0.390625 1.375 0.859375 0.890625 1.34375 C 0.859375 1.375 0.84375 1.390625 0.84375 1.421875 C 0.84375 1.484375 0.90625 1.53125 0.953125 1.53125 C 1.046875 1.53125 1.71875 0.90625 1.71875 -0.03125 Z M 1.71875 -0.03125 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph1-3">
<path d="M 4.15625 -1.140625 C 4.15625 -1.21875 4.09375 -1.25 4.03125 -1.25 C 3.9375 -1.25 3.921875 -1.1875 3.890625 -1.046875 C 3.78125 -0.671875 3.578125 -0.140625 3.203125 -0.140625 C 3 -0.140625 2.953125 -0.3125 2.953125 -0.53125 C 2.953125 -0.640625 2.953125 -0.734375 3 -0.921875 C 3 -0.953125 3.03125 -1.078125 3.03125 -1.15625 C 3.03125 -1.8125 2.21875 -1.953125 1.8125 -2.015625 C 2.109375 -2.1875 2.375 -2.46875 2.46875 -2.5625 C 2.90625 -3 3.265625 -3.296875 3.65625 -3.296875 C 3.75 -3.296875 3.84375 -3.265625 3.90625 -3.1875 C 3.484375 -3.125 3.484375 -2.75 3.484375 -2.75 C 3.484375 -2.578125 3.625 -2.453125 3.796875 -2.453125 C 4.015625 -2.453125 4.25 -2.625 4.25 -2.953125 C 4.25 -3.234375 4.0625 -3.515625 3.65625 -3.515625 C 3.203125 -3.515625 2.78125 -3.15625 2.328125 -2.703125 C 1.859375 -2.25 1.671875 -2.171875 1.53125 -2.109375 L 2.328125 -5.296875 C 2.328125 -5.3125 2.359375 -5.421875 2.359375 -5.421875 C 2.359375 -5.453125 2.328125 -5.53125 2.234375 -5.53125 C 2.203125 -5.53125 1.953125 -5.5 1.765625 -5.484375 L 1.328125 -5.453125 C 1.140625 -5.4375 1.0625 -5.4375 1.0625 -5.296875 C 1.0625 -5.171875 1.171875 -5.171875 1.28125 -5.171875 C 1.65625 -5.171875 1.65625 -5.125 1.65625 -5.0625 C 1.65625 -5.03125 1.65625 -5.015625 1.625 -4.875 L 0.484375 -0.34375 C 0.453125 -0.21875 0.453125 -0.171875 0.453125 -0.171875 C 0.453125 -0.03125 0.5625 0.078125 0.71875 0.078125 C 0.984375 0.078125 1.046875 -0.171875 1.078125 -0.28125 L 1.453125 -1.796875 C 1.890625 -1.75 2.4375 -1.609375 2.4375 -1.140625 C 2.4375 -1.109375 2.4375 -1.0625 2.421875 -0.984375 C 2.390625 -0.890625 2.375 -0.765625 2.375 -0.734375 C 2.375 -0.265625 2.71875 0.078125 3.1875 0.078125 C 3.515625 0.078125 3.734375 -0.171875 3.828125 -0.3125 C 4.03125 -0.609375 4.15625 -1.09375 4.15625 -1.140625 Z M 4.15625 -1.140625 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph2-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues3.svg-glyph2-1">
<path d="M 6.109375 -1.984375 C 6.109375 -2.171875 5.921875 -2.171875 5.8125 -2.171875 L 3.46875 -2.171875 L 3.46875 -4.53125 C 3.46875 -4.640625 3.46875 -4.8125 3.296875 -4.8125 C 3.109375 -4.8125 3.109375 -4.640625 3.109375 -4.53125 L 3.109375 -2.171875 L 0.75 -2.171875 C 0.640625 -2.171875 0.46875 -2.171875 0.46875 -1.984375 C 0.46875 -1.8125 0.640625 -1.8125 0.75 -1.8125 L 3.109375 -1.8125 L 3.109375 0.546875 C 3.109375 0.65625 3.109375 0.828125 3.296875 0.828125 C 3.46875 0.828125 3.46875 0.65625 3.46875 0.546875 L 3.46875 -1.8125 L 5.8125 -1.8125 C 5.921875 -1.8125 6.109375 -1.8125 6.109375 -1.984375 Z M 6.109375 -1.984375 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph2-2">
<path d="M 3.5625 0 L 3.5625 -0.265625 L 3.28125 -0.265625 C 2.53125 -0.265625 2.5 -0.359375 2.5 -0.65625 L 2.5 -5.078125 C 2.5 -5.296875 2.484375 -5.296875 2.265625 -5.296875 C 1.9375 -4.984375 1.515625 -4.796875 0.765625 -4.796875 L 0.765625 -4.53125 C 0.984375 -4.53125 1.40625 -4.53125 1.875 -4.734375 L 1.875 -0.65625 C 1.875 -0.359375 1.84375 -0.265625 1.09375 -0.265625 L 0.8125 -0.265625 L 0.8125 0 C 1.140625 -0.03125 1.828125 -0.03125 2.1875 -0.03125 C 2.546875 -0.03125 3.234375 -0.03125 3.5625 0 Z M 3.5625 0 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph3-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues3.svg-glyph3-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph4-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues3.svg-glyph4-1">
<path d="M 11.265625 -1.828125 C 11.265625 -2.0625 11.046875 -2.0625 10.859375 -2.0625 L 3.5 -2.0625 C 3.3125 -2.0625 3.28125 -2.0625 3.125 -2.1875 C 2.5625 -2.609375 2.015625 -2.875 1.765625 -2.984375 C 2.015625 -3.09375 2.5625 -3.375 3.140625 -3.796875 C 3.28125 -3.90625 3.3125 -3.90625 3.5 -3.90625 L 10.859375 -3.90625 C 11.046875 -3.90625 11.265625 -3.90625 11.265625 -4.140625 C 11.265625 -4.390625 11.046875 -4.390625 10.875 -4.390625 L 3.828125 -4.390625 C 4.796875 -5.4375 5.015625 -6.09375 5.015625 -6.125 C 5.015625 -6.28125 4.890625 -6.28125 4.78125 -6.28125 C 4.609375 -6.28125 4.609375 -6.265625 4.484375 -6.046875 C 3.875 -4.890625 2.765625 -3.6875 0.890625 -3.140625 C 0.734375 -3.109375 0.6875 -3.078125 0.6875 -2.984375 C 0.6875 -2.890625 0.734375 -2.875 0.875 -2.828125 C 2.78125 -2.296875 3.859375 -1.09375 4.453125 0 C 4.578125 0.234375 4.578125 0.25 4.609375 0.265625 C 4.65625 0.296875 4.703125 0.296875 4.78125 0.296875 C 4.890625 0.296875 5.015625 0.296875 5.015625 0.15625 C 5.015625 0.15625 4.796875 -0.53125 3.828125 -1.59375 L 10.875 -1.59375 C 11.046875 -1.59375 11.265625 -1.59375 11.265625 -1.828125 Z M 11.265625 -1.828125 "></path>
</g>
<g id="rangebinaryvalues3.svg-glyph4-2">
<path d="M 7.625 -8.3125 C 7.625 -8.40625 7.546875 -8.5625 7.390625 -8.5625 C 7.265625 -8.5625 7.203125 -8.484375 7.125 -8.34375 L 1.75 2.125 C 1.671875 2.265625 1.65625 2.296875 1.65625 2.34375 C 1.65625 2.421875 1.734375 2.578125 1.90625 2.578125 C 2.015625 2.578125 2.09375 2.515625 2.15625 2.359375 L 7.546875 -8.109375 C 7.609375 -8.25 7.625 -8.265625 7.625 -8.3125 Z M 7.625 -8.3125 "></path>
</g>
</g>
</defs>
<g id="rangebinaryvalues3.svg-surface1">
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph0-1" x="-0.205" y="9.1"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph1-1" x="6.994" y="10.893"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph2-1" x="9.878" y="10.893"></use>
<use xlink:href="#rangebinaryvalues3.svg-glyph2-2" x="16.464491" y="10.893"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph1-2" x="20.698" y="10.893"></use>
<use xlink:href="#rangebinaryvalues3.svg-glyph1-3" x="23.049977" y="10.893"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph3-1" x="31.491" y="9.1"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph0-1" x="43.917" y="9.1"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph1-1" x="51.116" y="10.893"></use>
<use xlink:href="#rangebinaryvalues3.svg-glyph1-2" x="53.998785" y="10.893"></use>
<use xlink:href="#rangebinaryvalues3.svg-glyph1-3" x="56.350762" y="10.893"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph4-1" x="71.434" y="9.1"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph3-1" x="81.397" y="9.1"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph0-2" x="100.464" y="9.1"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph1-1" x="108.839" y="10.893"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph4-2" x="115.541" y="9.1"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph3-1" x="115.541" y="9.1"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues3.svg-glyph0-3" x="127.967" y="9.1"></use>
</g>
</g>
</svg><a href="#section-3.8.1.1-4.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-10" class="selfRef">Figure 10</a></figcaption></figure>
<figure id="figure-11">
<div id="section-3.8.1.1-5.1">
<div class="artwork art-svg alignLeft" id="section-3.8.1.1-5.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="334pt" height="27pt" viewBox="0 0 334 27" version="1.1">
<defs>
<g>
<g id="rangebinaryvalues4.svg-glyph0-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues4.svg-glyph0-1">
<path d="M 7.671875 -6.578125 C 7.671875 -5.96875 7.359375 -4.203125 4.953125 -4.203125 L 3.609375 -4.203125 L 4.40625 -7.34375 C 4.5 -7.796875 4.546875 -7.8125 5.015625 -7.8125 L 5.875 -7.8125 C 6.90625 -7.8125 7.671875 -7.5 7.671875 -6.578125 Z M 8.84375 -1.09375 C 8.84375 -1.1875 8.78125 -1.21875 8.71875 -1.21875 C 8.625 -1.21875 8.59375 -1.140625 8.578125 -1.046875 C 8.28125 -0.203125 7.796875 0.015625 7.5 0.015625 C 7.203125 0.015625 7 -0.125 7 -0.65625 C 7 -0.9375 7.140625 -2.03125 7.15625 -2.09375 C 7.21875 -2.53125 7.21875 -2.578125 7.21875 -2.671875 C 7.21875 -3.546875 6.515625 -3.921875 6.0625 -4.0625 C 7.546875 -4.390625 8.703125 -5.34375 8.703125 -6.375 C 8.703125 -7.296875 7.75 -8.15625 6.09375 -8.15625 L 2.859375 -8.15625 C 2.625 -8.15625 2.515625 -8.15625 2.515625 -7.9375 C 2.515625 -7.8125 2.59375 -7.8125 2.828125 -7.8125 C 3.53125 -7.8125 3.53125 -7.71875 3.53125 -7.59375 C 3.53125 -7.59375 3.53125 -7.5 3.484375 -7.3125 L 1.875 -0.890625 C 1.765625 -0.46875 1.75 -0.34375 0.921875 -0.34375 C 0.640625 -0.34375 0.5625 -0.34375 0.5625 -0.125 C 0.5625 0 0.6875 0 0.734375 0 C 0.9375 0 1.1875 -0.03125 1.421875 -0.03125 L 2.828125 -0.03125 C 3.046875 -0.03125 3.296875 0 3.515625 0 C 3.609375 0 3.734375 0 3.734375 -0.234375 C 3.734375 -0.34375 3.640625 -0.34375 3.453125 -0.34375 C 2.71875 -0.34375 2.71875 -0.4375 2.71875 -0.5625 C 2.71875 -0.5625 2.71875 -0.65625 2.75 -0.75 L 3.546875 -3.96875 L 4.984375 -3.96875 C 6.125 -3.96875 6.328125 -3.25 6.328125 -2.859375 C 6.328125 -2.671875 6.21875 -2.21875 6.125 -1.90625 C 6 -1.34375 5.96875 -1.21875 5.96875 -0.984375 C 5.96875 -0.140625 6.65625 0.25 7.453125 0.25 C 8.421875 0.25 8.84375 -0.9375 8.84375 -1.09375 Z M 8.84375 -1.09375 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph0-2">
<path d="M 3.640625 -1.703125 C 3.640625 -1.78125 3.578125 -1.8125 3.515625 -1.8125 C 3.515625 -1.8125 3.4375 -1.8125 3.421875 -1.765625 C 3.421875 -1.765625 3.390625 -1.75 3.3125 -1.546875 C 3.0625 -0.953125 2.515625 -0.125 1.8125 -0.125 C 1.453125 -0.125 1.4375 -0.421875 1.4375 -0.6875 C 1.4375 -0.6875 1.4375 -0.921875 1.46875 -1.0625 L 2.40625 -4.8125 L 3.5 -4.8125 C 3.734375 -4.8125 3.84375 -4.8125 3.84375 -5.015625 C 3.84375 -5.15625 3.78125 -5.15625 3.53125 -5.15625 L 2.484375 -5.15625 L 2.921875 -6.890625 C 2.96875 -7.0625 2.96875 -7.09375 2.96875 -7.171875 C 2.96875 -7.359375 2.828125 -7.46875 2.671875 -7.46875 C 2.5625 -7.46875 2.296875 -7.4375 2.203125 -7.046875 L 1.734375 -5.15625 L 0.609375 -5.15625 C 0.375 -5.15625 0.265625 -5.15625 0.265625 -4.921875 C 0.265625 -4.8125 0.34375 -4.8125 0.578125 -4.8125 L 1.640625 -4.8125 L 0.84375 -1.65625 C 0.75 -1.234375 0.71875 -1.109375 0.71875 -0.953125 C 0.71875 -0.390625 1.109375 0.125 1.78125 0.125 C 2.984375 0.125 3.640625 -1.625 3.640625 -1.703125 Z M 3.640625 -1.703125 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph0-3">
<path d="M 7.546875 -2.9375 C 7.546875 -3.015625 7.484375 -3.0625 7.421875 -3.0625 C 7.421875 -3.0625 7.34375 -3.0625 7.328125 -3.015625 C 7.296875 -3 7.296875 -2.96875 7.203125 -2.75 C 6.828125 -1.703125 6.28125 -0.34375 4.265625 -0.34375 L 3.125 -0.34375 C 2.953125 -0.34375 2.921875 -0.34375 2.859375 -0.359375 C 2.71875 -0.375 2.71875 -0.390625 2.71875 -0.484375 C 2.71875 -0.578125 2.734375 -0.640625 2.765625 -0.75 L 4.390625 -7.25 C 4.5 -7.703125 4.53125 -7.8125 5.578125 -7.8125 C 5.90625 -7.8125 5.984375 -7.8125 5.984375 -8.046875 C 5.984375 -8.15625 5.859375 -8.15625 5.8125 -8.15625 C 5.5625 -8.15625 5.296875 -8.140625 5.0625 -8.140625 L 3.453125 -8.140625 C 3.234375 -8.140625 2.96875 -8.15625 2.734375 -8.15625 C 2.640625 -8.15625 2.515625 -8.15625 2.515625 -7.9375 C 2.515625 -7.8125 2.625 -7.8125 2.796875 -7.8125 C 3.53125 -7.8125 3.53125 -7.71875 3.53125 -7.59375 C 3.53125 -7.59375 3.53125 -7.5 3.484375 -7.3125 L 1.859375 -0.890625 C 1.75 -0.46875 1.734375 -0.34375 0.890625 -0.34375 C 0.671875 -0.34375 0.546875 -0.34375 0.546875 -0.125 C 0.546875 0 0.625 0 0.859375 0 L 6.21875 0 C 6.484375 0 6.484375 -0.015625 6.578125 -0.234375 L 7.5 -2.765625 C 7.515625 -2.828125 7.546875 -2.90625 7.546875 -2.9375 Z M 7.546875 -2.9375 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph0-4">
<path d="M 2.828125 -1.703125 C 2.828125 -1.765625 2.765625 -1.8125 2.703125 -1.8125 C 2.59375 -1.8125 2.578125 -1.75 2.53125 -1.578125 C 2.3125 -0.75 2.109375 -0.125 1.625 -0.125 C 1.265625 -0.125 1.265625 -0.5 1.265625 -0.671875 C 1.265625 -0.71875 1.265625 -0.96875 1.34375 -1.296875 L 3.03125 -8 C 3.046875 -8.046875 3.078125 -8.109375 3.078125 -8.171875 C 3.078125 -8.296875 2.921875 -8.296875 2.921875 -8.296875 L 2.265625 -8.234375 C 2.0625 -8.21875 1.890625 -8.203125 1.671875 -8.1875 C 1.390625 -8.15625 1.296875 -8.15625 1.296875 -7.9375 C 1.296875 -7.8125 1.421875 -7.8125 1.546875 -7.8125 C 2.15625 -7.8125 2.15625 -7.703125 2.15625 -7.59375 C 2.15625 -7.546875 2.15625 -7.515625 2.09375 -7.296875 L 0.609375 -1.375 C 0.578125 -1.25 0.546875 -1.140625 0.546875 -0.953125 C 0.546875 -0.359375 0.984375 0.125 1.609375 0.125 C 2 0.125 2.265625 -0.140625 2.453125 -0.515625 C 2.65625 -0.90625 2.828125 -1.65625 2.828125 -1.703125 Z M 2.828125 -1.703125 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph0-5">
<path d="M 7.90625 -6.5625 C 7.90625 -5.59375 6.9375 -4.359375 5.359375 -4.359375 L 3.640625 -4.359375 L 4.375 -7.34375 C 4.484375 -7.796875 4.53125 -7.8125 5 -7.8125 L 6.546875 -7.8125 C 7.90625 -7.8125 7.90625 -6.671875 7.90625 -6.5625 Z M 8.21875 -2.59375 C 8.21875 -3.578125 7.359375 -4.171875 6.390625 -4.265625 C 7.703125 -4.5 8.875 -5.421875 8.875 -6.515625 C 8.875 -7.453125 8.0625 -8.15625 6.703125 -8.15625 L 2.875 -8.15625 C 2.640625 -8.15625 2.53125 -8.15625 2.53125 -7.9375 C 2.53125 -7.8125 2.640625 -7.8125 2.828125 -7.8125 C 3.546875 -7.8125 3.546875 -7.71875 3.546875 -7.59375 C 3.546875 -7.59375 3.546875 -7.5 3.5 -7.3125 L 1.890625 -0.890625 C 1.78125 -0.46875 1.75 -0.34375 0.921875 -0.34375 C 0.6875 -0.34375 0.578125 -0.34375 0.578125 -0.125 C 0.578125 0 0.640625 0 0.890625 0 L 4.984375 0 C 6.8125 0 8.21875 -1.390625 8.21875 -2.59375 Z M 7.21875 -2.71875 C 7.21875 -1.5625 6.1875 -0.34375 4.703125 -0.34375 L 3.078125 -0.34375 C 2.921875 -0.34375 2.890625 -0.34375 2.828125 -0.359375 C 2.6875 -0.375 2.671875 -0.390625 2.671875 -0.484375 C 2.671875 -0.578125 2.703125 -0.640625 2.71875 -0.75 L 3.5625 -4.125 L 5.8125 -4.125 C 7.21875 -4.125 7.21875 -2.8125 7.21875 -2.71875 Z M 7.21875 -2.71875 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph0-6">
<path d="M 4.1875 -3.796875 C 4.234375 -3.984375 4.234375 -4.140625 4.234375 -4.203125 C 4.234375 -4.890625 3.71875 -5.265625 3.171875 -5.265625 C 1.96875 -5.265625 1.328125 -3.53125 1.328125 -3.4375 C 1.328125 -3.375 1.375 -3.328125 1.453125 -3.328125 C 1.546875 -3.328125 1.546875 -3.375 1.609375 -3.5 C 2.09375 -4.65625 2.6875 -5.03125 3.140625 -5.03125 C 3.390625 -5.03125 3.53125 -4.90625 3.53125 -4.484375 C 3.53125 -4.203125 3.484375 -4.078125 3.4375 -3.859375 L 2.3125 0.640625 C 2.078125 1.53125 1.515625 2.203125 0.859375 2.203125 C 0.8125 2.203125 0.5625 2.203125 0.328125 2.078125 C 0.625 2.015625 0.84375 1.796875 0.84375 1.5 C 0.84375 1.3125 0.703125 1.125 0.4375 1.125 C 0.125 1.125 -0.15625 1.390625 -0.15625 1.75 C -0.15625 2.234375 0.375 2.4375 0.859375 2.4375 C 1.6875 2.4375 2.765625 1.828125 3.078125 0.640625 Z M 4.671875 -7.453125 C 4.671875 -7.75 4.421875 -7.859375 4.28125 -7.859375 C 3.953125 -7.859375 3.6875 -7.546875 3.6875 -7.28125 C 3.6875 -7.09375 3.828125 -6.890625 4.09375 -6.890625 C 4.359375 -6.890625 4.671875 -7.140625 4.671875 -7.453125 Z M 4.671875 -7.453125 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph0-7">
<path d="M 8.109375 0.109375 C 8.109375 0.03125 8.09375 -0.046875 7.875 -0.140625 L 1.71875 -2.96875 L 7.875 -5.828125 C 8.09375 -5.921875 8.109375 -6 8.109375 -6.078125 C 8.109375 -6.203125 8.015625 -6.296875 7.890625 -6.296875 C 7.890625 -6.296875 7.859375 -6.28125 7.6875 -6.21875 L 1.21875 -3.234375 C 1 -3.140625 0.984375 -3.0625 0.984375 -2.984375 C 0.984375 -2.90625 0.984375 -2.828125 1.21875 -2.71875 L 7.6875 0.25 C 7.84375 0.328125 7.890625 0.328125 7.890625 0.328125 C 8.015625 0.328125 8.109375 0.234375 8.109375 0.109375 Z M 8.109375 0.109375 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph1-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues4.svg-glyph1-1">
<path d="M 2.375 -4.96875 C 2.375 -5.140625 2.25 -5.28125 2.0625 -5.28125 C 1.859375 -5.28125 1.625 -5.078125 1.625 -4.84375 C 1.625 -4.671875 1.75 -4.546875 1.9375 -4.546875 C 2.140625 -4.546875 2.375 -4.734375 2.375 -4.96875 Z M 2.53125 -1.140625 C 2.53125 -1.21875 2.46875 -1.25 2.40625 -1.25 C 2.3125 -1.25 2.296875 -1.1875 2.265625 -1.109375 C 2.09375 -0.46875 1.765625 -0.140625 1.4375 -0.140625 C 1.34375 -0.140625 1.25 -0.1875 1.25 -0.390625 C 1.25 -0.59375 1.3125 -0.734375 1.40625 -0.984375 L 1.90625 -2.265625 C 1.96875 -2.453125 2.078125 -2.703125 2.078125 -2.84375 C 2.078125 -3.234375 1.75 -3.515625 1.34375 -3.515625 C 0.578125 -3.515625 0.234375 -2.40625 0.234375 -2.296875 C 0.234375 -2.21875 0.296875 -2.1875 0.359375 -2.1875 C 0.46875 -2.1875 0.46875 -2.234375 0.5 -2.3125 C 0.71875 -3.078125 1.078125 -3.296875 1.328125 -3.296875 C 1.4375 -3.296875 1.515625 -3.25 1.515625 -3.03125 C 1.515625 -2.953125 1.5 -2.84375 1.421875 -2.59375 L 1.21875 -2.046875 C 1 -1.515625 1 -1.5 0.78125 -0.953125 C 0.734375 -0.828125 0.703125 -0.734375 0.703125 -0.59375 C 0.703125 -0.203125 1 0.078125 1.421875 0.078125 C 2.203125 0.078125 2.53125 -1.03125 2.53125 -1.140625 Z M 2.53125 -1.140625 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph1-2">
<path d="M 3.296875 -4.96875 C 3.296875 -5.125 3.171875 -5.28125 2.984375 -5.28125 C 2.734375 -5.28125 2.53125 -5.046875 2.53125 -4.84375 C 2.53125 -4.6875 2.65625 -4.546875 2.84375 -4.546875 C 3.078125 -4.546875 3.296875 -4.765625 3.296875 -4.96875 Z M 2.953125 -2.484375 C 2.984375 -2.578125 3 -2.640625 3 -2.765625 C 3 -3.203125 2.640625 -3.515625 2.1875 -3.515625 C 1.34375 -3.515625 0.84375 -2.40625 0.84375 -2.296875 C 0.84375 -2.21875 0.90625 -2.1875 0.96875 -2.1875 C 1.046875 -2.1875 1.0625 -2.21875 1.109375 -2.328125 C 1.359375 -2.890625 1.765625 -3.296875 2.15625 -3.296875 C 2.328125 -3.296875 2.421875 -3.171875 2.421875 -2.921875 C 2.421875 -2.8125 2.40625 -2.6875 2.375 -2.578125 L 1.625 0.390625 C 1.5 0.890625 1.109375 1.40625 0.625 1.40625 C 0.5 1.40625 0.375 1.375 0.359375 1.359375 C 0.609375 1.25 0.640625 1.03125 0.640625 0.953125 C 0.640625 0.765625 0.5 0.65625 0.328125 0.65625 C 0.109375 0.65625 -0.109375 0.859375 -0.109375 1.125 C -0.109375 1.421875 0.1875 1.625 0.640625 1.625 C 1.125 1.625 2 1.328125 2.234375 0.359375 Z M 2.953125 -2.484375 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph2-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues4.svg-glyph2-1">
<path d="M 6.109375 -1.984375 C 6.109375 -2.171875 5.921875 -2.171875 5.8125 -2.171875 L 3.46875 -2.171875 L 3.46875 -4.53125 C 3.46875 -4.640625 3.46875 -4.8125 3.296875 -4.8125 C 3.109375 -4.8125 3.109375 -4.640625 3.109375 -4.53125 L 3.109375 -2.171875 L 0.75 -2.171875 C 0.640625 -2.171875 0.46875 -2.171875 0.46875 -1.984375 C 0.46875 -1.8125 0.640625 -1.8125 0.75 -1.8125 L 3.109375 -1.8125 L 3.109375 0.546875 C 3.109375 0.65625 3.109375 0.828125 3.296875 0.828125 C 3.46875 0.828125 3.46875 0.65625 3.46875 0.546875 L 3.46875 -1.8125 L 5.8125 -1.8125 C 5.921875 -1.8125 6.109375 -1.8125 6.109375 -1.984375 Z M 6.109375 -1.984375 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph2-2">
<path d="M 3.5625 0 L 3.5625 -0.265625 L 3.28125 -0.265625 C 2.53125 -0.265625 2.5 -0.359375 2.5 -0.65625 L 2.5 -5.078125 C 2.5 -5.296875 2.484375 -5.296875 2.265625 -5.296875 C 1.9375 -4.984375 1.515625 -4.796875 0.765625 -4.796875 L 0.765625 -4.53125 C 0.984375 -4.53125 1.40625 -4.53125 1.875 -4.734375 L 1.875 -0.65625 C 1.875 -0.359375 1.84375 -0.265625 1.09375 -0.265625 L 0.8125 -0.265625 L 0.8125 0 C 1.140625 -0.03125 1.828125 -0.03125 2.1875 -0.03125 C 2.546875 -0.03125 3.234375 -0.03125 3.5625 0 Z M 3.5625 0 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph2-3">
<path d="M 3.875 -1.34375 C 3.875 -1.84375 3.609375 -2.171875 3.46875 -2.3125 C 3.34375 -2.4375 3.328125 -2.453125 2.640625 -2.875 C 3.09375 -3.09375 3.640625 -3.484375 3.640625 -4.109375 C 3.640625 -4.875 2.859375 -5.296875 2.125 -5.296875 C 1.28125 -5.296875 0.59375 -4.71875 0.59375 -3.96875 C 0.59375 -3.671875 0.6875 -3.40625 0.890625 -3.171875 C 1.03125 -3 1.0625 -2.984375 1.546875 -2.671875 C 0.5625 -2.234375 0.34375 -1.65625 0.34375 -1.21875 C 0.34375 -0.328125 1.234375 0.171875 2.109375 0.171875 C 3.078125 0.171875 3.875 -0.5 3.875 -1.34375 Z M 3.234375 -4.109375 C 3.234375 -3.65625 2.875 -3.265625 2.40625 -3.03125 L 1.40625 -3.625 C 1.171875 -3.765625 0.984375 -4 0.984375 -4.265625 C 0.984375 -4.765625 1.53125 -5.09375 2.109375 -5.09375 C 2.71875 -5.09375 3.234375 -4.671875 3.234375 -4.109375 Z M 3.421875 -1.0625 C 3.421875 -0.453125 2.765625 -0.078125 2.125 -0.078125 C 1.40625 -0.078125 0.8125 -0.5625 0.8125 -1.21875 C 0.8125 -1.8125 1.25 -2.28125 1.796875 -2.53125 L 2.875 -1.875 C 3 -1.796875 3.421875 -1.546875 3.421875 -1.0625 Z M 3.421875 -1.0625 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph3-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues4.svg-glyph3-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph3-2">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph3-3">
<path d="M 8.453125 -2.96875 C 8.453125 -3.203125 8.25 -3.203125 8.0625 -3.203125 L 4.765625 -3.203125 L 4.765625 -6.5 C 4.765625 -6.671875 4.765625 -6.890625 4.546875 -6.890625 C 4.328125 -6.890625 4.328125 -6.6875 4.328125 -6.5 L 4.328125 -3.203125 L 1.03125 -3.203125 C 0.859375 -3.203125 0.640625 -3.203125 0.640625 -2.984375 C 0.640625 -2.765625 0.84375 -2.765625 1.03125 -2.765625 L 4.328125 -2.765625 L 4.328125 0.53125 C 4.328125 0.703125 4.328125 0.921875 4.546875 0.921875 C 4.765625 0.921875 4.765625 0.71875 4.765625 0.53125 L 4.765625 -2.765625 L 8.0625 -2.765625 C 8.234375 -2.765625 8.453125 -2.765625 8.453125 -2.96875 Z M 8.453125 -2.96875 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph3-4">
<path d="M 4.90625 0 L 4.90625 -0.34375 L 4.53125 -0.34375 C 3.484375 -0.34375 3.4375 -0.484375 3.4375 -0.921875 L 3.4375 -7.65625 C 3.4375 -7.9375 3.4375 -7.953125 3.203125 -7.953125 C 2.921875 -7.625 2.3125 -7.1875 1.09375 -7.1875 L 1.09375 -6.84375 C 1.359375 -6.84375 1.953125 -6.84375 2.625 -7.140625 L 2.625 -0.921875 C 2.625 -0.484375 2.578125 -0.34375 1.53125 -0.34375 L 1.15625 -0.34375 L 1.15625 0 C 1.484375 -0.03125 2.640625 -0.03125 3.03125 -0.03125 C 3.4375 -0.03125 4.578125 -0.03125 4.90625 0 Z M 4.90625 0 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph4-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues4.svg-glyph4-1">
<path d="M 7.296875 0.03125 C 7.296875 -0.015625 7.296875 -0.03125 7.21875 -0.171875 L 4.25 -6.90625 C 4.203125 -7.03125 4.140625 -7.140625 3.984375 -7.140625 C 3.875 -7.140625 3.796875 -7.09375 3.71875 -6.921875 L 0.734375 -0.171875 C 0.671875 -0.03125 0.671875 -0.015625 0.671875 0.03125 C 0.671875 0.15625 0.78125 0.265625 0.90625 0.265625 C 0.984375 0.265625 1.09375 0.234375 1.171875 0.03125 L 3.984375 -6.328125 L 6.796875 0.03125 C 6.84375 0.15625 6.890625 0.265625 7.046875 0.265625 C 7.1875 0.265625 7.296875 0.15625 7.296875 0.03125 Z M 7.296875 0.03125 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph4-2">
<path d="M 11.265625 -1.828125 C 11.265625 -2.0625 11.046875 -2.0625 10.859375 -2.0625 L 3.5 -2.0625 C 3.3125 -2.0625 3.28125 -2.0625 3.125 -2.1875 C 2.5625 -2.609375 2.015625 -2.875 1.765625 -2.984375 C 2.015625 -3.09375 2.5625 -3.375 3.140625 -3.796875 C 3.28125 -3.90625 3.3125 -3.90625 3.5 -3.90625 L 10.859375 -3.90625 C 11.046875 -3.90625 11.265625 -3.90625 11.265625 -4.140625 C 11.265625 -4.390625 11.046875 -4.390625 10.875 -4.390625 L 3.828125 -4.390625 C 4.796875 -5.4375 5.015625 -6.09375 5.015625 -6.125 C 5.015625 -6.28125 4.890625 -6.28125 4.78125 -6.28125 C 4.609375 -6.28125 4.609375 -6.265625 4.484375 -6.046875 C 3.875 -4.890625 2.765625 -3.6875 0.890625 -3.140625 C 0.734375 -3.109375 0.6875 -3.078125 0.6875 -2.984375 C 0.6875 -2.890625 0.734375 -2.875 0.875 -2.828125 C 2.78125 -2.296875 3.859375 -1.09375 4.453125 0 C 4.578125 0.234375 4.578125 0.25 4.609375 0.265625 C 4.65625 0.296875 4.703125 0.296875 4.78125 0.296875 C 4.890625 0.296875 5.015625 0.296875 5.015625 0.15625 C 5.015625 0.15625 4.796875 -0.53125 3.828125 -1.59375 L 10.875 -1.59375 C 11.046875 -1.59375 11.265625 -1.59375 11.265625 -1.828125 Z M 11.265625 -1.828125 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph4-3">
<path d="M 8.296875 -4.140625 C 8.296875 -4.296875 8.1875 -4.34375 8.0625 -4.40625 L 1.453125 -7.515625 C 1.296875 -7.609375 1.265625 -7.609375 1.234375 -7.609375 C 1.09375 -7.609375 0.984375 -7.5 0.984375 -7.359375 C 0.984375 -7.21875 1.0625 -7.1875 1.21875 -7.109375 L 7.5 -4.140625 L 1.203125 -1.171875 C 1.09375 -1.125 0.984375 -1.078125 0.984375 -0.921875 C 0.984375 -0.78125 1.09375 -0.6875 1.234375 -0.6875 C 1.28125 -0.6875 1.296875 -0.6875 1.4375 -0.75 L 8.0625 -3.890625 C 8.171875 -3.9375 8.296875 -4 8.296875 -4.140625 Z M 8.296875 1.40625 C 8.296875 1.15625 8.0625 1.15625 7.890625 1.15625 L 1.40625 1.15625 C 1.234375 1.15625 0.984375 1.15625 0.984375 1.40625 C 0.984375 1.640625 1.21875 1.640625 1.390625 1.640625 L 7.90625 1.640625 C 8.0625 1.640625 8.296875 1.640625 8.296875 1.40625 Z M 8.296875 1.40625 "></path>
</g>
<g id="rangebinaryvalues4.svg-glyph5-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues4.svg-glyph5-1">
<path d="M 2.078125 -3.734375 C 2.078125 -3.875 1.96875 -3.96875 1.84375 -3.96875 C 1.671875 -3.96875 1.5 -3.8125 1.5 -3.640625 C 1.5 -3.5 1.609375 -3.40625 1.734375 -3.40625 C 1.9375 -3.40625 2.078125 -3.578125 2.078125 -3.734375 Z M 2.296875 -0.859375 C 2.296875 -0.859375 2.296875 -0.953125 2.1875 -0.953125 C 2.09375 -0.953125 2.09375 -0.921875 2.0625 -0.796875 C 1.96875 -0.5 1.71875 -0.140625 1.40625 -0.140625 C 1.296875 -0.140625 1.25 -0.203125 1.25 -0.359375 C 1.25 -0.46875 1.28125 -0.5625 1.359375 -0.75 L 1.71875 -1.640625 C 1.75 -1.703125 1.796875 -1.84375 1.828125 -1.90625 C 1.84375 -1.953125 1.859375 -2.015625 1.859375 -2.125 C 1.859375 -2.453125 1.5625 -2.640625 1.265625 -2.640625 C 0.65625 -2.640625 0.359375 -1.84375 0.359375 -1.71875 C 0.359375 -1.6875 0.390625 -1.640625 0.46875 -1.640625 C 0.5625 -1.640625 0.578125 -1.671875 0.59375 -1.71875 C 0.765625 -2.296875 1.078125 -2.4375 1.25 -2.4375 C 1.359375 -2.4375 1.40625 -2.359375 1.40625 -2.21875 C 1.40625 -2.109375 1.375 -2.015625 1.359375 -1.96875 L 1.046875 -1.203125 C 0.96875 -1.03125 0.96875 -1.015625 0.890625 -0.8125 C 0.8125 -0.640625 0.796875 -0.5625 0.796875 -0.453125 C 0.796875 -0.15625 1.0625 0.0625 1.390625 0.0625 C 2 0.0625 2.296875 -0.734375 2.296875 -0.859375 Z M 2.296875 -0.859375 "></path>
</g>
</g>
</defs>
<g id="rangebinaryvalues4.svg-surface1">
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-1" x="-0.383" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="8.527" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-1" x="11.41" y="11.61"></use>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-2" x="17.996491" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-1" x="26.049" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-2" x="38.477626" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-3" x="44.328" y="5.478"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-2" x="49.06" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="53.288" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph4-1" x="66.631" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-3" x="84.564" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="92.529" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-1" x="95.412" y="11.61"></use>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-2" x="101.998491" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-1" x="110.051" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-2" x="122.479626" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-3" x="128.33" y="5.478"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-4" x="133.062" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="136.549" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-3" x="142.587" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-5" x="154.349" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-2" x="163.241" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph5-1" x="166.666" y="12.825"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph4-1" x="180.289" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-6" x="198.221" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="203.064" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-1" x="205.948" y="11.61"></use>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-2" x="212.534491" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-1" x="220.587" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-6" x="233.013" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="237.856" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-3" x="243.893" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-4" x="255.652135" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph4-2" x="271.471" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-1" x="281.433" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-2" x="300.598" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="304.825" y="11.61"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-7" x="311.527" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-2" x="323.953" y="9.817"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-3" x="329.806" y="5.478"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-1" x="4.909" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="13.819" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-1" x="16.703" y="26.056"></use>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-2" x="23.289491" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-1" x="31.342" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-2" x="43.768" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="47.995" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph4-1" x="66.631" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-3" x="105.055" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="113.019" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-1" x="115.902" y="26.056"></use>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-2" x="122.488491" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-1" x="130.542" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-4" x="142.967" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="146.454" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph4-1" x="180.289" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-6" x="208.357" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="213.2" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-1" x="216.083" y="26.056"></use>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-2" x="222.669491" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-1" x="230.723" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-6" x="243.148" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="247.991" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph4-2" x="271.471" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-1" x="281.433" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph0-2" x="300.501" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph1-1" x="304.728" y="26.056"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph4-3" x="311.43" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph3-2" x="324.049" y="24.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues4.svg-glyph2-3" x="329.902" y="19.924"></use>
</g>
</g>
</svg><a href="#section-3.8.1.1-5.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-11" class="selfRef">Figure 11</a></figcaption></figure>
<figure id="figure-12">
<div id="section-3.8.1.1-6.1">
<div class="artwork art-svg alignLeft" id="section-3.8.1.1-6.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="58pt" height="11pt" viewBox="0 0 58 11" version="1.1">
<defs>
<g>
<g id="rangebinaryvalues5.svg-glyph0-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues5.svg-glyph0-1">
<path d="M 7.671875 -6.578125 C 7.671875 -5.96875 7.359375 -4.203125 4.953125 -4.203125 L 3.609375 -4.203125 L 4.40625 -7.34375 C 4.5 -7.796875 4.546875 -7.8125 5.015625 -7.8125 L 5.875 -7.8125 C 6.90625 -7.8125 7.671875 -7.5 7.671875 -6.578125 Z M 8.84375 -1.09375 C 8.84375 -1.1875 8.78125 -1.21875 8.71875 -1.21875 C 8.625 -1.21875 8.59375 -1.140625 8.578125 -1.046875 C 8.28125 -0.203125 7.796875 0.015625 7.5 0.015625 C 7.203125 0.015625 7 -0.125 7 -0.65625 C 7 -0.9375 7.140625 -2.03125 7.15625 -2.09375 C 7.21875 -2.53125 7.21875 -2.578125 7.21875 -2.671875 C 7.21875 -3.546875 6.515625 -3.921875 6.0625 -4.0625 C 7.546875 -4.390625 8.703125 -5.34375 8.703125 -6.375 C 8.703125 -7.296875 7.75 -8.15625 6.09375 -8.15625 L 2.859375 -8.15625 C 2.625 -8.15625 2.515625 -8.15625 2.515625 -7.9375 C 2.515625 -7.8125 2.59375 -7.8125 2.828125 -7.8125 C 3.53125 -7.8125 3.53125 -7.71875 3.53125 -7.59375 C 3.53125 -7.59375 3.53125 -7.5 3.484375 -7.3125 L 1.875 -0.890625 C 1.765625 -0.46875 1.75 -0.34375 0.921875 -0.34375 C 0.640625 -0.34375 0.5625 -0.34375 0.5625 -0.125 C 0.5625 0 0.6875 0 0.734375 0 C 0.9375 0 1.1875 -0.03125 1.421875 -0.03125 L 2.828125 -0.03125 C 3.046875 -0.03125 3.296875 0 3.515625 0 C 3.609375 0 3.734375 0 3.734375 -0.234375 C 3.734375 -0.34375 3.640625 -0.34375 3.453125 -0.34375 C 2.71875 -0.34375 2.71875 -0.4375 2.71875 -0.5625 C 2.71875 -0.5625 2.71875 -0.65625 2.75 -0.75 L 3.546875 -3.96875 L 4.984375 -3.96875 C 6.125 -3.96875 6.328125 -3.25 6.328125 -2.859375 C 6.328125 -2.671875 6.21875 -2.21875 6.125 -1.90625 C 6 -1.34375 5.96875 -1.21875 5.96875 -0.984375 C 5.96875 -0.140625 6.65625 0.25 7.453125 0.25 C 8.421875 0.25 8.84375 -0.9375 8.84375 -1.09375 Z M 8.84375 -1.09375 "></path>
</g>
<g id="rangebinaryvalues5.svg-glyph1-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues5.svg-glyph1-1">
<path d="M 3.890625 -2.546875 C 3.890625 -3.390625 3.8125 -3.90625 3.546875 -4.421875 C 3.203125 -5.125 2.546875 -5.296875 2.109375 -5.296875 C 1.109375 -5.296875 0.734375 -4.546875 0.625 -4.328125 C 0.34375 -3.75 0.328125 -2.953125 0.328125 -2.546875 C 0.328125 -2.015625 0.34375 -1.21875 0.734375 -0.578125 C 1.09375 0.015625 1.6875 0.171875 2.109375 0.171875 C 2.5 0.171875 3.171875 0.046875 3.578125 -0.734375 C 3.875 -1.3125 3.890625 -2.03125 3.890625 -2.546875 Z M 3.1875 -2.640625 C 3.1875 -2.171875 3.1875 -1.453125 3.09375 -1 C 2.921875 -0.171875 2.375 -0.0625 2.109375 -0.0625 C 1.84375 -0.0625 1.296875 -0.1875 1.125 -1.015625 C 1.03125 -1.46875 1.03125 -2.21875 1.03125 -2.640625 C 1.03125 -3.1875 1.03125 -3.75 1.125 -4.1875 C 1.296875 -5 1.90625 -5.078125 2.109375 -5.078125 C 2.375 -5.078125 2.9375 -4.9375 3.09375 -4.21875 C 3.1875 -3.78125 3.1875 -3.171875 3.1875 -2.640625 Z M 3.1875 -2.640625 "></path>
</g>
<g id="rangebinaryvalues5.svg-glyph2-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues5.svg-glyph2-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="rangebinaryvalues5.svg-glyph2-2">
<path d="M 5.359375 -2.4375 C 5.359375 -4.03125 4.25 -5.09375 3.046875 -5.09375 C 1.984375 -5.09375 1.59375 -4.171875 1.46875 -3.84375 L 1.46875 -4.15625 C 1.46875 -7.1875 2.9375 -7.65625 3.578125 -7.65625 C 4.015625 -7.65625 4.453125 -7.53125 4.671875 -7.171875 C 4.53125 -7.171875 4.078125 -7.171875 4.078125 -6.6875 C 4.078125 -6.421875 4.25 -6.1875 4.5625 -6.1875 C 4.859375 -6.1875 5.0625 -6.375 5.0625 -6.71875 C 5.0625 -7.34375 4.609375 -7.953125 3.578125 -7.953125 C 2.0625 -7.953125 0.484375 -6.40625 0.484375 -3.78125 C 0.484375 -0.484375 1.921875 0.25 2.9375 0.25 C 4.25 0.25 5.359375 -0.890625 5.359375 -2.4375 Z M 4.375 -2.453125 C 4.375 -1.84375 4.375 -1.296875 4.140625 -0.84375 C 3.84375 -0.28125 3.421875 -0.078125 2.9375 -0.078125 C 2.1875 -0.078125 1.828125 -0.734375 1.71875 -0.984375 C 1.609375 -1.296875 1.5 -1.890625 1.5 -2.71875 C 1.5 -3.671875 1.921875 -4.859375 3 -4.859375 C 3.65625 -4.859375 4 -4.40625 4.1875 -4 C 4.375 -3.5625 4.375 -2.96875 4.375 -2.453125 Z M 4.375 -2.453125 "></path>
</g>
<g id="rangebinaryvalues5.svg-glyph2-3">
<path d="M 5.265625 -2.40625 C 5.265625 -3.828125 4.296875 -5.015625 3.046875 -5.015625 C 2.359375 -5.015625 1.84375 -4.703125 1.53125 -4.375 L 1.53125 -6.84375 C 2.046875 -6.6875 2.46875 -6.671875 2.59375 -6.671875 C 3.9375 -6.671875 4.8125 -7.65625 4.8125 -7.828125 C 4.8125 -7.875 4.78125 -7.9375 4.703125 -7.9375 C 4.703125 -7.9375 4.65625 -7.9375 4.546875 -7.890625 C 3.890625 -7.609375 3.3125 -7.5625 3 -7.5625 C 2.21875 -7.5625 1.65625 -7.8125 1.421875 -7.90625 C 1.34375 -7.9375 1.296875 -7.9375 1.296875 -7.9375 C 1.203125 -7.9375 1.203125 -7.859375 1.203125 -7.671875 L 1.203125 -4.125 C 1.203125 -3.90625 1.203125 -3.84375 1.34375 -3.84375 C 1.40625 -3.84375 1.421875 -3.84375 1.546875 -4 C 1.875 -4.484375 2.4375 -4.765625 3.03125 -4.765625 C 3.671875 -4.765625 3.984375 -4.1875 4.078125 -3.984375 C 4.28125 -3.515625 4.296875 -2.921875 4.296875 -2.46875 C 4.296875 -2.015625 4.296875 -1.34375 3.953125 -0.796875 C 3.6875 -0.375 3.234375 -0.078125 2.703125 -0.078125 C 1.90625 -0.078125 1.140625 -0.609375 0.921875 -1.484375 C 0.984375 -1.453125 1.046875 -1.453125 1.109375 -1.453125 C 1.3125 -1.453125 1.640625 -1.5625 1.640625 -1.96875 C 1.640625 -2.3125 1.40625 -2.5 1.109375 -2.5 C 0.890625 -2.5 0.578125 -2.390625 0.578125 -1.921875 C 0.578125 -0.90625 1.40625 0.25 2.71875 0.25 C 4.078125 0.25 5.265625 -0.890625 5.265625 -2.40625 Z M 5.265625 -2.40625 "></path>
</g>
<g id="rangebinaryvalues5.svg-glyph2-4">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="rangebinaryvalues5.svg-glyph2-5">
<path d="M 5.359375 -1.984375 C 5.359375 -3.203125 4.5 -3.734375 3.5625 -4.3125 C 4.15625 -4.640625 5.03125 -5.1875 5.03125 -6.1875 C 5.03125 -7.234375 4.03125 -7.953125 2.921875 -7.953125 C 1.75 -7.953125 0.8125 -7.078125 0.8125 -5.984375 C 0.8125 -5.578125 0.9375 -5.171875 1.265625 -4.765625 C 1.40625 -4.609375 1.40625 -4.609375 2.25 -4.015625 C 1.09375 -3.484375 0.484375 -2.671875 0.484375 -1.8125 C 0.484375 -0.53125 1.703125 0.25 2.921875 0.25 C 4.25 0.25 5.359375 -0.734375 5.359375 -1.984375 Z M 4.546875 -6.1875 C 4.546875 -5.453125 4.015625 -4.859375 3.328125 -4.484375 L 1.9375 -5.390625 C 1.78125 -5.5 1.296875 -5.8125 1.296875 -6.390625 C 1.296875 -7.171875 2.109375 -7.65625 2.921875 -7.65625 C 3.78125 -7.65625 4.546875 -7.046875 4.546875 -6.1875 Z M 4.8125 -1.609375 C 4.8125 -0.6875 3.890625 -0.078125 2.921875 -0.078125 C 1.90625 -0.078125 1.046875 -0.8125 1.046875 -1.8125 C 1.046875 -2.734375 1.71875 -3.484375 2.5 -3.84375 L 3.9375 -2.90625 C 4.25 -2.703125 4.8125 -2.328125 4.8125 -1.609375 Z M 4.8125 -1.609375 "></path>
</g>
<g id="rangebinaryvalues5.svg-glyph2-6">
<path d="M 5.359375 -3.828125 C 5.359375 -4.8125 5.296875 -5.78125 4.859375 -6.6875 C 4.375 -7.6875 3.515625 -7.953125 2.921875 -7.953125 C 2.234375 -7.953125 1.390625 -7.609375 0.9375 -6.609375 C 0.609375 -5.859375 0.484375 -5.109375 0.484375 -3.828125 C 0.484375 -2.671875 0.578125 -1.796875 1 -0.9375 C 1.46875 -0.03125 2.296875 0.25 2.921875 0.25 C 3.953125 0.25 4.546875 -0.375 4.90625 -1.0625 C 5.328125 -1.953125 5.359375 -3.125 5.359375 -3.828125 Z M 4.453125 -3.96875 C 4.453125 -3.171875 4.453125 -2.265625 4.3125 -1.53125 C 4.09375 -0.21875 3.328125 0.015625 2.921875 0.015625 C 2.53125 0.015625 1.75 -0.203125 1.53125 -1.5 C 1.40625 -2.21875 1.40625 -3.125 1.40625 -3.96875 C 1.40625 -4.953125 1.40625 -5.828125 1.59375 -6.53125 C 1.796875 -7.34375 2.40625 -7.703125 2.921875 -7.703125 C 3.375 -7.703125 4.0625 -7.4375 4.296875 -6.40625 C 4.453125 -5.71875 4.453125 -4.78125 4.453125 -3.96875 Z M 4.453125 -3.96875 "></path>
</g>
</g>
</defs>
<g id="rangebinaryvalues5.svg-surface1">
<g>
<use xlink:href="#rangebinaryvalues5.svg-glyph0-1" x="-0.201" y="8.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues5.svg-glyph1-1" x="8.709" y="9.993"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues5.svg-glyph2-1" x="16.762" y="8.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues5.svg-glyph2-2" x="29.190626" y="8.199"></use>
<use xlink:href="#rangebinaryvalues5.svg-glyph2-3" x="35.043892" y="8.199"></use>
<use xlink:href="#rangebinaryvalues5.svg-glyph2-4" x="40.897158" y="8.199"></use>
<use xlink:href="#rangebinaryvalues5.svg-glyph2-5" x="46.750424" y="8.199"></use>
<use xlink:href="#rangebinaryvalues5.svg-glyph2-6" x="52.60369" y="8.199"></use>
</g>
</g>
</svg><a href="#section-3.8.1.1-6.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-12" class="selfRef">Figure 12</a></figcaption></figure>
<figure id="figure-13">
<div id="section-3.8.1.1-7.1">
<div class="artwork art-svg alignLeft" id="section-3.8.1.1-7.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="80pt" height="14pt" viewBox="0 0 80 14" version="1.1">
<defs>
<g>
<g id="rangebinaryvalues6.svg-glyph0-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues6.svg-glyph0-1">
<path d="M 7.546875 -2.9375 C 7.546875 -3.015625 7.484375 -3.0625 7.421875 -3.0625 C 7.421875 -3.0625 7.34375 -3.0625 7.328125 -3.015625 C 7.296875 -3 7.296875 -2.96875 7.203125 -2.75 C 6.828125 -1.703125 6.28125 -0.34375 4.265625 -0.34375 L 3.125 -0.34375 C 2.953125 -0.34375 2.921875 -0.34375 2.859375 -0.359375 C 2.71875 -0.375 2.71875 -0.390625 2.71875 -0.484375 C 2.71875 -0.578125 2.734375 -0.640625 2.765625 -0.75 L 4.390625 -7.25 C 4.5 -7.703125 4.53125 -7.8125 5.578125 -7.8125 C 5.90625 -7.8125 5.984375 -7.8125 5.984375 -8.046875 C 5.984375 -8.15625 5.859375 -8.15625 5.8125 -8.15625 C 5.5625 -8.15625 5.296875 -8.140625 5.0625 -8.140625 L 3.453125 -8.140625 C 3.234375 -8.140625 2.96875 -8.15625 2.734375 -8.15625 C 2.640625 -8.15625 2.515625 -8.15625 2.515625 -7.9375 C 2.515625 -7.8125 2.625 -7.8125 2.796875 -7.8125 C 3.53125 -7.8125 3.53125 -7.71875 3.53125 -7.59375 C 3.53125 -7.59375 3.53125 -7.5 3.484375 -7.3125 L 1.859375 -0.890625 C 1.75 -0.46875 1.734375 -0.34375 0.890625 -0.34375 C 0.671875 -0.34375 0.546875 -0.34375 0.546875 -0.125 C 0.546875 0 0.625 0 0.859375 0 L 6.21875 0 C 6.484375 0 6.484375 -0.015625 6.578125 -0.234375 L 7.5 -2.765625 C 7.515625 -2.828125 7.546875 -2.90625 7.546875 -2.9375 Z M 7.546875 -2.9375 "></path>
</g>
<g id="rangebinaryvalues6.svg-glyph0-2">
<path d="M 7.90625 -6.5625 C 7.90625 -5.59375 6.9375 -4.359375 5.359375 -4.359375 L 3.640625 -4.359375 L 4.375 -7.34375 C 4.484375 -7.796875 4.53125 -7.8125 5 -7.8125 L 6.546875 -7.8125 C 7.90625 -7.8125 7.90625 -6.671875 7.90625 -6.5625 Z M 8.21875 -2.59375 C 8.21875 -3.578125 7.359375 -4.171875 6.390625 -4.265625 C 7.703125 -4.5 8.875 -5.421875 8.875 -6.515625 C 8.875 -7.453125 8.0625 -8.15625 6.703125 -8.15625 L 2.875 -8.15625 C 2.640625 -8.15625 2.53125 -8.15625 2.53125 -7.9375 C 2.53125 -7.8125 2.640625 -7.8125 2.828125 -7.8125 C 3.546875 -7.8125 3.546875 -7.71875 3.546875 -7.59375 C 3.546875 -7.59375 3.546875 -7.5 3.5 -7.3125 L 1.890625 -0.890625 C 1.78125 -0.46875 1.75 -0.34375 0.921875 -0.34375 C 0.6875 -0.34375 0.578125 -0.34375 0.578125 -0.125 C 0.578125 0 0.640625 0 0.890625 0 L 4.984375 0 C 6.8125 0 8.21875 -1.390625 8.21875 -2.59375 Z M 7.21875 -2.71875 C 7.21875 -1.5625 6.1875 -0.34375 4.703125 -0.34375 L 3.078125 -0.34375 C 2.921875 -0.34375 2.890625 -0.34375 2.828125 -0.359375 C 2.6875 -0.375 2.671875 -0.390625 2.671875 -0.484375 C 2.671875 -0.578125 2.703125 -0.640625 2.71875 -0.75 L 3.5625 -4.125 L 5.8125 -4.125 C 7.21875 -4.125 7.21875 -2.8125 7.21875 -2.71875 Z M 7.21875 -2.71875 "></path>
</g>
<g id="rangebinaryvalues6.svg-glyph1-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues6.svg-glyph1-1">
<path d="M 3.890625 -2.546875 C 3.890625 -3.390625 3.8125 -3.90625 3.546875 -4.421875 C 3.203125 -5.125 2.546875 -5.296875 2.109375 -5.296875 C 1.109375 -5.296875 0.734375 -4.546875 0.625 -4.328125 C 0.34375 -3.75 0.328125 -2.953125 0.328125 -2.546875 C 0.328125 -2.015625 0.34375 -1.21875 0.734375 -0.578125 C 1.09375 0.015625 1.6875 0.171875 2.109375 0.171875 C 2.5 0.171875 3.171875 0.046875 3.578125 -0.734375 C 3.875 -1.3125 3.890625 -2.03125 3.890625 -2.546875 Z M 3.1875 -2.640625 C 3.1875 -2.171875 3.1875 -1.453125 3.09375 -1 C 2.921875 -0.171875 2.375 -0.0625 2.109375 -0.0625 C 1.84375 -0.0625 1.296875 -0.1875 1.125 -1.015625 C 1.03125 -1.46875 1.03125 -2.21875 1.03125 -2.640625 C 1.03125 -3.1875 1.03125 -3.75 1.125 -4.1875 C 1.296875 -5 1.90625 -5.078125 2.109375 -5.078125 C 2.375 -5.078125 2.9375 -4.9375 3.09375 -4.21875 C 3.1875 -3.78125 3.1875 -3.171875 3.1875 -2.640625 Z M 3.1875 -2.640625 "></path>
</g>
<g id="rangebinaryvalues6.svg-glyph1-2">
<path d="M 3.875 -1.34375 C 3.875 -1.84375 3.609375 -2.171875 3.46875 -2.3125 C 3.34375 -2.4375 3.328125 -2.453125 2.640625 -2.875 C 3.09375 -3.09375 3.640625 -3.484375 3.640625 -4.109375 C 3.640625 -4.875 2.859375 -5.296875 2.125 -5.296875 C 1.28125 -5.296875 0.59375 -4.71875 0.59375 -3.96875 C 0.59375 -3.671875 0.6875 -3.40625 0.890625 -3.171875 C 1.03125 -3 1.0625 -2.984375 1.546875 -2.671875 C 0.5625 -2.234375 0.34375 -1.65625 0.34375 -1.21875 C 0.34375 -0.328125 1.234375 0.171875 2.109375 0.171875 C 3.078125 0.171875 3.875 -0.5 3.875 -1.34375 Z M 3.234375 -4.109375 C 3.234375 -3.65625 2.875 -3.265625 2.40625 -3.03125 L 1.40625 -3.625 C 1.171875 -3.765625 0.984375 -4 0.984375 -4.265625 C 0.984375 -4.765625 1.53125 -5.09375 2.109375 -5.09375 C 2.71875 -5.09375 3.234375 -4.671875 3.234375 -4.109375 Z M 3.421875 -1.0625 C 3.421875 -0.453125 2.765625 -0.078125 2.125 -0.078125 C 1.40625 -0.078125 0.8125 -0.5625 0.8125 -1.21875 C 0.8125 -1.8125 1.25 -2.28125 1.796875 -2.53125 L 2.875 -1.875 C 3 -1.796875 3.421875 -1.546875 3.421875 -1.0625 Z M 3.421875 -1.0625 "></path>
</g>
<g id="rangebinaryvalues6.svg-glyph1-3">
<path d="M 3.5625 0 L 3.5625 -0.265625 L 3.28125 -0.265625 C 2.53125 -0.265625 2.5 -0.359375 2.5 -0.65625 L 2.5 -5.078125 C 2.5 -5.296875 2.484375 -5.296875 2.265625 -5.296875 C 1.9375 -4.984375 1.515625 -4.796875 0.765625 -4.796875 L 0.765625 -4.53125 C 0.984375 -4.53125 1.40625 -4.53125 1.875 -4.734375 L 1.875 -0.65625 C 1.875 -0.359375 1.84375 -0.265625 1.09375 -0.265625 L 0.8125 -0.265625 L 0.8125 0 C 1.140625 -0.03125 1.828125 -0.03125 2.1875 -0.03125 C 2.546875 -0.03125 3.234375 -0.03125 3.5625 0 Z M 3.5625 0 "></path>
</g>
<g id="rangebinaryvalues6.svg-glyph2-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues6.svg-glyph2-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="rangebinaryvalues6.svg-glyph2-2">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="rangebinaryvalues6.svg-glyph2-3">
<path d="M 8.453125 -2.96875 C 8.453125 -3.203125 8.25 -3.203125 8.0625 -3.203125 L 4.765625 -3.203125 L 4.765625 -6.5 C 4.765625 -6.671875 4.765625 -6.890625 4.546875 -6.890625 C 4.328125 -6.890625 4.328125 -6.6875 4.328125 -6.5 L 4.328125 -3.203125 L 1.03125 -3.203125 C 0.859375 -3.203125 0.640625 -3.203125 0.640625 -2.984375 C 0.640625 -2.765625 0.84375 -2.765625 1.03125 -2.765625 L 4.328125 -2.765625 L 4.328125 0.53125 C 4.328125 0.703125 4.328125 0.921875 4.546875 0.921875 C 4.765625 0.921875 4.765625 0.71875 4.765625 0.53125 L 4.765625 -2.765625 L 8.0625 -2.765625 C 8.234375 -2.765625 8.453125 -2.765625 8.453125 -2.96875 Z M 8.453125 -2.96875 "></path>
</g>
</g>
</defs>
<g id="rangebinaryvalues6.svg-surface1">
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph0-1" x="-0.223" y="11.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph1-1" x="7.742" y="12.993"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph2-1" x="15.795" y="11.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph2-2" x="28.223626" y="11.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph1-2" x="34.074" y="6.263"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph0-2" x="38.806" y="11.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph1-1" x="47.699" y="12.992"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph2-3" x="55.088" y="11.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph0-2" x="66.849" y="11.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues6.svg-glyph1-3" x="75.742" y="12.992"></use>
</g>
</g>
</svg><a href="#section-3.8.1.1-7.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-13" class="selfRef">Figure 13</a></figcaption></figure>
<figure id="figure-14">
<div id="section-3.8.1.1-8.1">
<div class="artwork art-svg alignLeft" id="section-3.8.1.1-8.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="32pt" height="11pt" viewBox="0 0 32 11" version="1.1">
<defs>
<g>
<g id="rangebinaryvalues7.svg-glyph0-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues7.svg-glyph0-1">
<path d="M 4.1875 -3.796875 C 4.234375 -3.984375 4.234375 -4.140625 4.234375 -4.203125 C 4.234375 -4.890625 3.71875 -5.265625 3.171875 -5.265625 C 1.96875 -5.265625 1.328125 -3.53125 1.328125 -3.4375 C 1.328125 -3.375 1.375 -3.328125 1.453125 -3.328125 C 1.546875 -3.328125 1.546875 -3.375 1.609375 -3.5 C 2.09375 -4.65625 2.6875 -5.03125 3.140625 -5.03125 C 3.390625 -5.03125 3.53125 -4.90625 3.53125 -4.484375 C 3.53125 -4.203125 3.484375 -4.078125 3.4375 -3.859375 L 2.3125 0.640625 C 2.078125 1.53125 1.515625 2.203125 0.859375 2.203125 C 0.8125 2.203125 0.5625 2.203125 0.328125 2.078125 C 0.625 2.015625 0.84375 1.796875 0.84375 1.5 C 0.84375 1.3125 0.703125 1.125 0.4375 1.125 C 0.125 1.125 -0.15625 1.390625 -0.15625 1.75 C -0.15625 2.234375 0.375 2.4375 0.859375 2.4375 C 1.6875 2.4375 2.765625 1.828125 3.078125 0.640625 Z M 4.671875 -7.453125 C 4.671875 -7.75 4.421875 -7.859375 4.28125 -7.859375 C 3.953125 -7.859375 3.6875 -7.546875 3.6875 -7.28125 C 3.6875 -7.09375 3.828125 -6.890625 4.09375 -6.890625 C 4.359375 -6.890625 4.671875 -7.140625 4.671875 -7.453125 Z M 4.671875 -7.453125 "></path>
</g>
<g id="rangebinaryvalues7.svg-glyph1-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues7.svg-glyph1-1">
<path d="M 3.890625 -2.546875 C 3.890625 -3.390625 3.8125 -3.90625 3.546875 -4.421875 C 3.203125 -5.125 2.546875 -5.296875 2.109375 -5.296875 C 1.109375 -5.296875 0.734375 -4.546875 0.625 -4.328125 C 0.34375 -3.75 0.328125 -2.953125 0.328125 -2.546875 C 0.328125 -2.015625 0.34375 -1.21875 0.734375 -0.578125 C 1.09375 0.015625 1.6875 0.171875 2.109375 0.171875 C 2.5 0.171875 3.171875 0.046875 3.578125 -0.734375 C 3.875 -1.3125 3.890625 -2.03125 3.890625 -2.546875 Z M 3.1875 -2.640625 C 3.1875 -2.171875 3.1875 -1.453125 3.09375 -1 C 2.921875 -0.171875 2.375 -0.0625 2.109375 -0.0625 C 1.84375 -0.0625 1.296875 -0.1875 1.125 -1.015625 C 1.03125 -1.46875 1.03125 -2.21875 1.03125 -2.640625 C 1.03125 -3.1875 1.03125 -3.75 1.125 -4.1875 C 1.296875 -5 1.90625 -5.078125 2.109375 -5.078125 C 2.375 -5.078125 2.9375 -4.9375 3.09375 -4.21875 C 3.1875 -3.78125 3.1875 -3.171875 3.1875 -2.640625 Z M 3.1875 -2.640625 "></path>
</g>
<g id="rangebinaryvalues7.svg-glyph2-0">
<path d=""></path>
</g>
<g id="rangebinaryvalues7.svg-glyph2-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="rangebinaryvalues7.svg-glyph2-2">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
</g>
</defs>
<g id="rangebinaryvalues7.svg-surface1">
<g>
<use xlink:href="#rangebinaryvalues7.svg-glyph0-1" x="0.538" y="8.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues7.svg-glyph1-1" x="5.381" y="9.993"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues7.svg-glyph2-1" x="13.434" y="8.199"></use>
</g>
<g>
<use xlink:href="#rangebinaryvalues7.svg-glyph2-2" x="25.862626" y="8.199"></use>
</g>
</g>
</svg><a href="#section-3.8.1.1-8.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-14" class="selfRef">Figure 14</a></figcaption></figure>
<div id="termination">
<section id="section-3.8.1.1.1">
<h6 id="name-termination">
<a href="#section-3.8.1.1.1" class="section-number selfRef">3.8.1.1.1. </a><a href="#name-termination" class="section-name selfRef">Termination</a>
</h6>
<p id="section-3.8.1.1.1-1">The range coder can be used in 3 modes.<a href="#section-3.8.1.1.1-1" class="pilcrow">¶</a></p>
<ul>
<li id="section-3.8.1.1.1-2.1">
<p id="section-3.8.1.1.1-2.1.1">In <code>Open mode</code> when decoding, every symbol the reader attempts to read is available. In this mode arbitrary data can have been appended without affecting the range coder output. This mode is not used in FFV1.<a href="#section-3.8.1.1.1-2.1.1" class="pilcrow">¶</a></p>
</li>
<li id="section-3.8.1.1.1-2.2">
<p id="section-3.8.1.1.1-2.2.1">In <code>Closed mode</code> the length in bytes of the bytestream is provided to the range decoder. Bytes beyond the length are read as 0 by the range decoder. This is generally 1 byte shorter than the open mode.<a href="#section-3.8.1.1.1-2.2.1" class="pilcrow">¶</a></p>
</li>
<li id="section-3.8.1.1.1-2.3">
<p id="section-3.8.1.1.1-2.3.1">In <code>Sentinel mode</code> the exact length in bytes is not known and thus the range decoder MAY read into the data that follows the range coded bytestream by one byte. In <code>Sentinel mode</code>, the end of the range coded bytestream is a binary symbol with state 129, which value SHALL be discarded. After reading this symbol, the range decoder will have read one byte beyond the end of the range coded bytestream. This way the byte position of the end can be determined. Bytestreams written in <code>Sentinel mode</code> can be read in <code>Closed mode</code> if the length can be determined, in this case the last (sentinel) symbol will be read non-corrupted and be of value 0.<a href="#section-3.8.1.1.1-2.3.1" class="pilcrow">¶</a></p>
</li>
</ul>
<p id="section-3.8.1.1.1-3">Above describes the range decoding, encoding is defined as any process which produces a decodable bytestream.<a href="#section-3.8.1.1.1-3" class="pilcrow">¶</a></p>
<p id="section-3.8.1.1.1-4">There are 3 places where range coder termination is needed in FFV1.
First is in the <code>Configuration Record</code>, in this case the size of the range coded bytestream is known and handled as <code>Closed mode</code>.
Second is the switch from the <code>Slice Header</code> which is range coded to Golomb coded slices as <code>Sentinel mode</code>.
Third is the end of range coded Slices which need to terminate before the CRC at their end. This can be handled as <code>Sentinel mode</code> or as <code>Closed mode</code> if the CRC position has been determined.<a href="#section-3.8.1.1.1-4" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
<div id="range-non-binary-values">
<section id="section-3.8.1.2">
<h5 id="name-range-non-binary-values">
<a href="#section-3.8.1.2" class="section-number selfRef">3.8.1.2. </a><a href="#name-range-non-binary-values" class="section-name selfRef">Range Non Binary Values</a>
</h5>
<p id="section-3.8.1.2-1">To encode scalar integers, it would be possible to encode each bit separately and use the past bits as context. However that would mean 255 contexts per 8-bit symbol that is not only a waste of memory but also requires more past data to reach a reasonably good estimate of the probabilities. Alternatively assuming a Laplacian distribution and only dealing with its variance and mean (as in Huffman coding) would also be possible, however, for maximum flexibility and simplicity, the chosen method uses a single symbol to encode if a number is 0, and if not, encodes the number using its exponent, mantissa and sign. The exact contexts used are best described by <a href="#figureRangeNonBinaryValueExample" class="xref">Figure 15</a>, followed by some comments.<a href="#section-3.8.1.2-1" class="pilcrow">¶</a></p>
<span id="name-a-pseudo-code-description-o"></span><div id="figureRangeNonBinaryValueExample">
<figure id="figure-15">
<div id="section-3.8.1.2-2.1">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
void put_symbol(RangeCoder *c, uint8_t *state, int v, int \ |
is_signed) { |
int i; |
put_rac(c, state+0, !v); |
if (v) { |
int a= abs(v); |
int e= log2(a); |
|
for (i = 0; i < e; i++) { |
put_rac(c, state+1+min(i,9), 1); //1..10 |
} |
|
put_rac(c, state+1+min(i,9), 0); |
for (i = e-1; i >= 0; i--) { |
put_rac(c, state+22+min(i,9), (a>>i)&1); //22..31 |
} |
|
if (is_signed) { |
put_rac(c, state+11 + min(e, 10), v < 0); //11..21|
} |
} |
} |
</pre>
</div>
<figcaption><a href="#figure-15" class="selfRef">Figure 15</a>:
<a href="#name-a-pseudo-code-description-o" class="selfRef">A pseudo-code description of the contexts of Range Non Binary Values.</a>
</figcaption></figure>
</div>
</section>
</div>
<div id="initial-values-for-the-context-model">
<section id="section-3.8.1.3">
<h5 id="name-initial-values-for-the-cont">
<a href="#section-3.8.1.3" class="section-number selfRef">3.8.1.3. </a><a href="#name-initial-values-for-the-cont" class="section-name selfRef">Initial Values for the Context Model</a>
</h5>
<p id="section-3.8.1.3-1">At keyframes all Range coder state variables are set to their initial state.<a href="#section-3.8.1.3-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="state-transition-table">
<section id="section-3.8.1.4">
<h5 id="name-state-transition-table">
<a href="#section-3.8.1.4" class="section-number selfRef">3.8.1.4. </a><a href="#name-state-transition-table" class="section-name selfRef">State Transition Table</a>
</h5>
<figure id="figure-16">
<div id="section-3.8.1.4-1.1">
<div class="artwork art-svg alignLeft" id="section-3.8.1.4-1.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="350pt" height="12pt" viewBox="0 0 350 12" version="1.1">
<defs>
<g>
<g id="statetransitiontable1.svg-glyph0-0">
<path d=""></path>
</g>
<g id="statetransitiontable1.svg-glyph0-1">
<path d="M 5.453125 -3.28125 C 5.453125 -4.421875 4.703125 -5.265625 3.625 -5.265625 C 2.046875 -5.265625 0.484375 -3.546875 0.484375 -1.859375 C 0.484375 -0.734375 1.234375 0.125 2.3125 0.125 C 3.90625 0.125 5.453125 -1.609375 5.453125 -3.28125 Z M 4.65625 -3.71875 C 4.65625 -3.234375 4.40625 -1.953125 3.9375 -1.234375 C 3.453125 -0.4375 2.796875 -0.125 2.328125 -0.125 C 1.734375 -0.125 1.296875 -0.59375 1.296875 -1.4375 C 1.296875 -1.984375 1.578125 -3.203125 1.90625 -3.796875 C 2.453125 -4.71875 3.125 -5.03125 3.609375 -5.03125 C 4.203125 -5.03125 4.65625 -4.546875 4.65625 -3.71875 Z M 4.65625 -3.71875 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-2">
<path d="M 6.640625 -1.703125 C 6.640625 -1.765625 6.59375 -1.8125 6.515625 -1.8125 C 6.40625 -1.8125 6.390625 -1.78125 6.328125 -1.578125 C 6.0625 -0.59375 5.609375 -0.125 5.140625 -0.125 C 5.015625 -0.125 4.828125 -0.125 4.828125 -0.515625 C 4.828125 -0.8125 4.953125 -1.171875 5.03125 -1.34375 C 5.265625 -2 5.765625 -3.328125 5.765625 -4.015625 C 5.765625 -4.734375 5.359375 -5.265625 4.453125 -5.265625 C 3.375 -5.265625 2.828125 -4.515625 2.609375 -4.21875 C 2.5625 -4.90625 2.078125 -5.265625 1.546875 -5.265625 C 1.171875 -5.265625 0.90625 -5.046875 0.703125 -4.640625 C 0.484375 -4.203125 0.328125 -3.484375 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.828125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.796875 -5.03125 1.890625 -4.84375 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.515625 0.046875 1.609375 -0.125 C 1.640625 -0.1875 1.75 -0.609375 1.8125 -0.84375 L 2.0625 -1.921875 L 2.46875 -3.5 C 2.484375 -3.578125 2.78125 -4.171875 3.234375 -4.546875 C 3.53125 -4.84375 3.9375 -5.03125 4.40625 -5.03125 C 4.890625 -5.03125 5.0625 -4.671875 5.0625 -4.203125 C 5.0625 -3.515625 4.5625 -2.15625 4.328125 -1.5 C 4.21875 -1.21875 4.15625 -1.0625 4.15625 -0.84375 C 4.15625 -0.3125 4.53125 0.125 5.109375 0.125 C 6.21875 0.125 6.640625 -1.640625 6.640625 -1.703125 Z M 6.640625 -1.703125 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-3">
<path d="M 5 -1.296875 C 5 -1.375 4.921875 -1.4375 4.875 -1.4375 C 4.84375 -1.4375 4.828125 -1.421875 4.71875 -1.3125 C 3.953125 -0.296875 2.828125 -0.125 2.359375 -0.125 C 1.6875 -0.125 1.328125 -0.65625 1.328125 -1.546875 C 1.328125 -1.703125 1.328125 -2.015625 1.5 -2.765625 L 2.140625 -2.765625 C 2.46875 -2.765625 3.28125 -2.796875 3.84375 -3.015625 C 4.75 -3.359375 4.84375 -4.046875 4.84375 -4.265625 C 4.84375 -4.796875 4.390625 -5.265625 3.59375 -5.265625 C 2.34375 -5.265625 0.53125 -4.140625 0.53125 -2.015625 C 0.53125 -0.75 1.25 0.125 2.34375 0.125 C 3.96875 0.125 5 -1.140625 5 -1.296875 Z M 4.484375 -4.265625 C 4.484375 -3.015625 2.5625 -3.015625 2.0625 -3.015625 L 1.5625 -3.015625 C 2.078125 -4.859375 3.21875 -5.03125 3.59375 -5.03125 C 4.125 -5.03125 4.484375 -4.71875 4.484375 -4.265625 Z M 4.484375 -4.265625 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-4">
<path d="M 4.640625 -1.84375 C 4.640625 -2.015625 4.640625 -2.359375 4.25 -2.734375 C 3.953125 -3.03125 3.671875 -3.078125 3.03125 -3.21875 C 2.703125 -3.28125 2.1875 -3.390625 2.1875 -3.9375 C 2.1875 -4.171875 2.40625 -5.03125 3.53125 -5.03125 C 4.046875 -5.03125 4.53125 -4.84375 4.65625 -4.40625 C 4.125 -4.40625 4.09375 -3.9375 4.09375 -3.9375 C 4.09375 -3.6875 4.328125 -3.625 4.4375 -3.625 C 4.609375 -3.625 4.9375 -3.75 4.9375 -4.25 C 4.9375 -4.75 4.484375 -5.265625 3.546875 -5.265625 C 1.984375 -5.265625 1.5625 -4.046875 1.5625 -3.546875 C 1.5625 -2.640625 2.453125 -2.453125 2.71875 -2.390625 C 2.921875 -2.359375 3.25 -2.28125 3.328125 -2.265625 C 3.484375 -2.21875 4.015625 -2.03125 4.015625 -1.453125 C 4.015625 -1.09375 3.6875 -0.125 2.296875 -0.125 C 2.046875 -0.125 1.140625 -0.15625 0.90625 -0.8125 C 1.390625 -0.75 1.625 -1.125 1.625 -1.390625 C 1.625 -1.640625 1.453125 -1.765625 1.21875 -1.765625 C 0.953125 -1.765625 0.609375 -1.5625 0.609375 -1.03125 C 0.609375 -0.328125 1.328125 0.125 2.28125 0.125 C 4.09375 0.125 4.640625 -1.21875 4.640625 -1.84375 Z M 4.640625 -1.84375 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-5">
<path d="M 3.640625 -1.703125 C 3.640625 -1.78125 3.578125 -1.8125 3.515625 -1.8125 C 3.515625 -1.8125 3.4375 -1.8125 3.421875 -1.765625 C 3.421875 -1.765625 3.390625 -1.75 3.3125 -1.546875 C 3.0625 -0.953125 2.515625 -0.125 1.8125 -0.125 C 1.453125 -0.125 1.4375 -0.421875 1.4375 -0.6875 C 1.4375 -0.6875 1.4375 -0.921875 1.46875 -1.0625 L 2.40625 -4.8125 L 3.5 -4.8125 C 3.734375 -4.8125 3.84375 -4.8125 3.84375 -5.015625 C 3.84375 -5.15625 3.78125 -5.15625 3.53125 -5.15625 L 2.484375 -5.15625 L 2.921875 -6.890625 C 2.96875 -7.0625 2.96875 -7.09375 2.96875 -7.171875 C 2.96875 -7.359375 2.828125 -7.46875 2.671875 -7.46875 C 2.5625 -7.46875 2.296875 -7.4375 2.203125 -7.046875 L 1.734375 -5.15625 L 0.609375 -5.15625 C 0.375 -5.15625 0.265625 -5.15625 0.265625 -4.921875 C 0.265625 -4.8125 0.34375 -4.8125 0.578125 -4.8125 L 1.640625 -4.8125 L 0.84375 -1.65625 C 0.75 -1.234375 0.71875 -1.109375 0.71875 -0.953125 C 0.71875 -0.390625 1.109375 0.125 1.78125 0.125 C 2.984375 0.125 3.640625 -1.625 3.640625 -1.703125 Z M 3.640625 -1.703125 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-6">
<path d="M 3.59375 -1.421875 C 3.53125 -1.21875 3.53125 -1.1875 3.375 -0.96875 C 3.109375 -0.640625 2.578125 -0.125 2.015625 -0.125 C 1.53125 -0.125 1.25 -0.5625 1.25 -1.265625 C 1.25 -1.921875 1.625 -3.265625 1.859375 -3.765625 C 2.265625 -4.609375 2.828125 -5.03125 3.28125 -5.03125 C 4.078125 -5.03125 4.234375 -4.046875 4.234375 -3.953125 C 4.234375 -3.953125 4.203125 -3.796875 4.1875 -3.765625 Z M 5.796875 -1.703125 C 5.796875 -1.765625 5.75 -1.8125 5.671875 -1.8125 C 5.5625 -1.8125 5.5625 -1.75 5.515625 -1.578125 C 5.328125 -0.875 5.109375 -0.125 4.609375 -0.125 C 4.265625 -0.125 4.25 -0.4375 4.25 -0.671875 C 4.25 -0.9375 4.28125 -1.078125 4.390625 -1.546875 L 4.625 -2.453125 C 5.0625 -4.25 5.171875 -4.671875 5.171875 -4.75 C 5.171875 -4.90625 5.046875 -5.046875 4.859375 -5.046875 C 4.484375 -5.046875 4.390625 -4.625 4.359375 -4.484375 C 4.234375 -4.796875 3.90625 -5.265625 3.28125 -5.265625 C 1.9375 -5.265625 0.484375 -3.53125 0.484375 -1.75 C 0.484375 -0.578125 1.171875 0.125 1.984375 0.125 C 2.640625 0.125 3.203125 -0.390625 3.53125 -0.78125 C 3.65625 -0.078125 4.21875 0.125 4.578125 0.125 C 4.9375 0.125 5.21875 -0.09375 5.4375 -0.53125 C 5.625 -0.9375 5.796875 -1.65625 5.796875 -1.703125 Z M 5.796875 -1.703125 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-7">
<path d="M 5.796875 -1.703125 C 5.796875 -1.765625 5.75 -1.8125 5.671875 -1.8125 C 5.5625 -1.8125 5.5625 -1.75 5.515625 -1.578125 C 5.328125 -0.875 5.109375 -0.125 4.609375 -0.125 C 4.265625 -0.125 4.25 -0.4375 4.25 -0.671875 C 4.25 -0.71875 4.25 -0.96875 4.328125 -1.296875 L 6.015625 -8 C 6.03125 -8.046875 6.046875 -8.109375 6.046875 -8.171875 C 6.046875 -8.296875 5.90625 -8.296875 5.90625 -8.296875 C 5.90625 -8.296875 5.3125 -8.25 5.25 -8.234375 C 5.046875 -8.21875 4.859375 -8.203125 4.65625 -8.1875 C 4.34375 -8.15625 4.265625 -8.15625 4.265625 -7.9375 C 4.265625 -7.8125 4.359375 -7.8125 4.53125 -7.8125 C 5.109375 -7.8125 5.125 -7.703125 5.125 -7.59375 C 5.125 -7.515625 5.109375 -7.421875 5.09375 -7.390625 L 4.359375 -4.484375 C 4.234375 -4.796875 3.90625 -5.265625 3.28125 -5.265625 C 1.9375 -5.265625 0.484375 -3.53125 0.484375 -1.75 C 0.484375 -0.578125 1.171875 0.125 1.984375 0.125 C 2.640625 0.125 3.203125 -0.390625 3.53125 -0.78125 C 3.65625 -0.078125 4.21875 0.125 4.578125 0.125 C 4.9375 0.125 5.21875 -0.09375 5.4375 -0.53125 C 5.625 -0.9375 5.796875 -1.65625 5.796875 -1.703125 Z M 3.59375 -1.421875 C 3.53125 -1.21875 3.53125 -1.1875 3.375 -0.96875 C 3.109375 -0.640625 2.578125 -0.125 2.015625 -0.125 C 1.53125 -0.125 1.25 -0.5625 1.25 -1.265625 C 1.25 -1.921875 1.625 -3.265625 1.859375 -3.765625 C 2.265625 -4.609375 2.828125 -5.03125 3.28125 -5.03125 C 4.078125 -5.03125 4.234375 -4.046875 4.234375 -3.953125 C 4.234375 -3.953125 4.203125 -3.796875 4.1875 -3.765625 Z M 3.59375 -1.421875 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-8">
<path d="M 6.53125 -7.640625 C 6.53125 -8.140625 6.03125 -8.421875 5.5 -8.421875 C 4.984375 -8.421875 4.484375 -8.03125 4.25 -7.5625 C 4.03125 -7.140625 3.90625 -6.71875 3.640625 -5.15625 L 2.828125 -5.15625 C 2.609375 -5.15625 2.484375 -5.15625 2.484375 -4.9375 C 2.484375 -4.8125 2.5625 -4.8125 2.796875 -4.8125 L 3.5625 -4.8125 L 2.578125 0.28125 C 2.375 1.328125 2.203125 2.203125 1.609375 2.203125 C 1.5625 2.203125 1.21875 2.203125 1 1.96875 C 1.609375 1.921875 1.609375 1.390625 1.609375 1.390625 C 1.609375 1.140625 1.4375 1 1.203125 1 C 0.96875 1 0.609375 1.203125 0.609375 1.65625 C 0.609375 2.171875 1.140625 2.4375 1.609375 2.4375 C 2.828125 2.4375 3.328125 0.25 3.453125 -0.34375 L 4.3125 -4.8125 L 5.328125 -4.8125 C 5.5625 -4.8125 5.671875 -4.8125 5.671875 -5.03125 C 5.671875 -5.15625 5.5625 -5.15625 5.359375 -5.15625 L 4.390625 -5.15625 L 4.875 -7.609375 C 4.953125 -7.90625 5.203125 -8.171875 5.515625 -8.171875 C 5.765625 -8.171875 6.015625 -8.0625 6.125 -7.953125 C 5.671875 -7.90625 5.515625 -7.5625 5.515625 -7.359375 C 5.515625 -7.125 5.703125 -6.984375 5.921875 -6.984375 C 6.171875 -6.984375 6.53125 -7.1875 6.53125 -7.640625 Z M 6.53125 -7.640625 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-9">
<path d="M 6.3125 -1.703125 C 6.3125 -1.765625 6.265625 -1.8125 6.1875 -1.8125 C 6.078125 -1.8125 6.078125 -1.75 6.03125 -1.578125 C 5.8125 -0.75 5.59375 -0.125 5.109375 -0.125 C 4.75 -0.125 4.75 -0.515625 4.75 -0.671875 C 4.75 -0.9375 4.796875 -1.0625 4.90625 -1.5625 L 5.15625 -2.546875 L 5.640625 -4.5 C 5.71875 -4.796875 5.71875 -4.8125 5.71875 -4.859375 C 5.71875 -5.03125 5.578125 -5.15625 5.40625 -5.15625 C 5.0625 -5.15625 4.96875 -4.859375 4.90625 -4.546875 L 4.046875 -1.09375 C 4.046875 -1.09375 3.578125 -0.125 2.703125 -0.125 C 2.078125 -0.125 1.953125 -0.65625 1.953125 -1.09375 C 1.953125 -1.78125 2.296875 -2.734375 2.609375 -3.53125 C 2.75 -3.921875 2.8125 -4.078125 2.8125 -4.3125 C 2.8125 -4.828125 2.4375 -5.265625 1.859375 -5.265625 C 0.765625 -5.265625 0.328125 -3.53125 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.5625 -3.328125 0.578125 -3.375 0.625 -3.546875 C 0.90625 -4.578125 1.375 -5.03125 1.828125 -5.03125 C 1.953125 -5.03125 2.140625 -5.015625 2.140625 -4.640625 C 2.140625 -4.328125 2.015625 -3.984375 1.828125 -3.53125 C 1.296875 -2.109375 1.25 -1.65625 1.25 -1.296875 C 1.25 -0.078125 2.15625 0.125 2.65625 0.125 C 3.421875 0.125 3.84375 -0.40625 4.078125 -0.6875 C 4.234375 -0.03125 4.8125 0.125 5.09375 0.125 C 5.46875 0.125 5.765625 -0.125 5.953125 -0.53125 C 6.15625 -0.96875 6.3125 -1.671875 6.3125 -1.703125 Z M 6.3125 -1.703125 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-10">
<path d="M 2.828125 -1.703125 C 2.828125 -1.765625 2.765625 -1.8125 2.703125 -1.8125 C 2.59375 -1.8125 2.578125 -1.75 2.53125 -1.578125 C 2.3125 -0.75 2.109375 -0.125 1.625 -0.125 C 1.265625 -0.125 1.265625 -0.5 1.265625 -0.671875 C 1.265625 -0.71875 1.265625 -0.96875 1.34375 -1.296875 L 3.03125 -8 C 3.046875 -8.046875 3.078125 -8.109375 3.078125 -8.171875 C 3.078125 -8.296875 2.921875 -8.296875 2.921875 -8.296875 L 2.265625 -8.234375 C 2.0625 -8.21875 1.890625 -8.203125 1.671875 -8.1875 C 1.390625 -8.15625 1.296875 -8.15625 1.296875 -7.9375 C 1.296875 -7.8125 1.421875 -7.8125 1.546875 -7.8125 C 2.15625 -7.8125 2.15625 -7.703125 2.15625 -7.59375 C 2.15625 -7.546875 2.15625 -7.515625 2.09375 -7.296875 L 0.609375 -1.375 C 0.578125 -1.25 0.546875 -1.140625 0.546875 -0.953125 C 0.546875 -0.359375 0.984375 0.125 1.609375 0.125 C 2 0.125 2.265625 -0.140625 2.453125 -0.515625 C 2.65625 -0.90625 2.828125 -1.65625 2.828125 -1.703125 Z M 2.828125 -1.703125 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-11">
<path d="M 5.09375 -4.546875 C 5.09375 -4.9375 4.71875 -5.265625 4.125 -5.265625 C 3.640625 -5.265625 3.09375 -5.0625 2.59375 -4.328125 C 2.515625 -4.953125 2.03125 -5.265625 1.546875 -5.265625 C 1.09375 -5.265625 0.84375 -4.90625 0.703125 -4.65625 C 0.5 -4.21875 0.328125 -3.5 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.8125 -5.03125 1.890625 -4.828125 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.5625 0.03125 1.640625 -0.203125 C 1.671875 -0.296875 2.109375 -2.109375 2.1875 -2.375 C 2.25 -2.640625 2.3125 -2.890625 2.375 -3.15625 L 2.515625 -3.671875 C 2.546875 -3.78125 2.875 -4.359375 3.171875 -4.625 C 3.3125 -4.75 3.625 -5.03125 4.109375 -5.03125 C 4.296875 -5.03125 4.5 -5 4.65625 -4.890625 C 4.28125 -4.8125 4.09375 -4.546875 4.09375 -4.296875 C 4.09375 -4 4.3125 -3.90625 4.484375 -3.90625 C 4.8125 -3.90625 5.09375 -4.203125 5.09375 -4.546875 Z M 5.09375 -4.546875 "></path>
</g>
<g id="statetransitiontable1.svg-glyph0-12">
<path d="M 3.375 -1.703125 C 3.375 -1.765625 3.328125 -1.8125 3.265625 -1.8125 C 3.15625 -1.8125 3.140625 -1.78125 3.078125 -1.578125 C 2.765625 -0.484375 2.28125 -0.125 1.890625 -0.125 C 1.75 -0.125 1.578125 -0.15625 1.578125 -0.515625 C 1.578125 -0.84375 1.71875 -1.1875 1.859375 -1.546875 L 2.6875 -3.78125 C 2.71875 -3.875 2.8125 -4.09375 2.8125 -4.3125 C 2.8125 -4.8125 2.453125 -5.265625 1.859375 -5.265625 C 0.765625 -5.265625 0.328125 -3.53125 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.5625 -3.328125 0.578125 -3.375 0.625 -3.546875 C 0.90625 -4.546875 1.359375 -5.03125 1.828125 -5.03125 C 1.9375 -5.03125 2.140625 -5.015625 2.140625 -4.640625 C 2.140625 -4.328125 1.984375 -3.9375 1.890625 -3.671875 C 1.453125 -2.5625 1.453125 -2.53125 1.046875 -1.453125 C 0.984375 -1.25 0.90625 -1.0625 0.90625 -0.84375 C 0.90625 -0.3125 1.28125 0.125 1.859375 0.125 C 2.953125 0.125 3.375 -1.625 3.375 -1.703125 Z M 3.28125 -7.453125 C 3.28125 -7.640625 3.140625 -7.859375 2.875 -7.859375 C 2.609375 -7.859375 2.296875 -7.59375 2.296875 -7.28125 C 2.296875 -6.984375 2.546875 -6.890625 2.6875 -6.890625 C 3.015625 -6.890625 3.28125 -7.203125 3.28125 -7.453125 Z M 3.28125 -7.453125 "></path>
</g>
<g id="statetransitiontable1.svg-glyph1-0">
<path d=""></path>
</g>
<g id="statetransitiontable1.svg-glyph1-1">
<path d="M 8.78125 1.625 L 8.78125 1.359375 L 0 1.359375 L 0 1.625 Z M 8.78125 1.625 "></path>
</g>
<g id="statetransitiontable1.svg-glyph1-2">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="statetransitiontable1.svg-glyph1-3">
<path d="M 8.453125 -2.96875 C 8.453125 -3.203125 8.25 -3.203125 8.0625 -3.203125 L 4.765625 -3.203125 L 4.765625 -6.5 C 4.765625 -6.671875 4.765625 -6.890625 4.546875 -6.890625 C 4.328125 -6.890625 4.328125 -6.6875 4.328125 -6.5 L 4.328125 -3.203125 L 1.03125 -3.203125 C 0.859375 -3.203125 0.640625 -3.203125 0.640625 -2.984375 C 0.640625 -2.765625 0.84375 -2.765625 1.03125 -2.765625 L 4.328125 -2.765625 L 4.328125 0.53125 C 4.328125 0.703125 4.328125 0.921875 4.546875 0.921875 C 4.765625 0.921875 4.765625 0.71875 4.765625 0.53125 L 4.765625 -2.765625 L 8.0625 -2.765625 C 8.234375 -2.765625 8.453125 -2.765625 8.453125 -2.96875 Z M 8.453125 -2.96875 "></path>
</g>
<g id="statetransitiontable1.svg-glyph2-0">
<path d=""></path>
</g>
<g id="statetransitiontable1.svg-glyph2-1">
<path d="M 2.375 -4.96875 C 2.375 -5.140625 2.25 -5.28125 2.0625 -5.28125 C 1.859375 -5.28125 1.625 -5.078125 1.625 -4.84375 C 1.625 -4.671875 1.75 -4.546875 1.9375 -4.546875 C 2.140625 -4.546875 2.375 -4.734375 2.375 -4.96875 Z M 2.53125 -1.140625 C 2.53125 -1.21875 2.46875 -1.25 2.40625 -1.25 C 2.3125 -1.25 2.296875 -1.1875 2.265625 -1.109375 C 2.09375 -0.46875 1.765625 -0.140625 1.4375 -0.140625 C 1.34375 -0.140625 1.25 -0.1875 1.25 -0.390625 C 1.25 -0.59375 1.3125 -0.734375 1.40625 -0.984375 L 1.90625 -2.265625 C 1.96875 -2.453125 2.078125 -2.703125 2.078125 -2.84375 C 2.078125 -3.234375 1.75 -3.515625 1.34375 -3.515625 C 0.578125 -3.515625 0.234375 -2.40625 0.234375 -2.296875 C 0.234375 -2.21875 0.296875 -2.1875 0.359375 -2.1875 C 0.46875 -2.1875 0.46875 -2.234375 0.5 -2.3125 C 0.71875 -3.078125 1.078125 -3.296875 1.328125 -3.296875 C 1.4375 -3.296875 1.515625 -3.25 1.515625 -3.03125 C 1.515625 -2.953125 1.5 -2.84375 1.421875 -2.59375 L 1.21875 -2.046875 C 1 -1.515625 1 -1.5 0.78125 -0.953125 C 0.734375 -0.828125 0.703125 -0.734375 0.703125 -0.59375 C 0.703125 -0.203125 1 0.078125 1.421875 0.078125 C 2.203125 0.078125 2.53125 -1.03125 2.53125 -1.140625 Z M 2.53125 -1.140625 "></path>
</g>
</g>
</defs>
<g id="statetransitiontable1.svg-surface1">
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-1" x="-0.082" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-2" x="5.545313" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-3" x="12.533127" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph1-1" x="17.958" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-4" x="26.733" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="32.246738" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-6" x="36.474097" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="42.61907" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-3" x="46.846428" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph2-1" x="52.272" y="10.948"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph1-2" x="58.974" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-7" x="71.4" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-3" x="77.482806" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-8" x="82.908076" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-6" x="89.956861" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-9" x="96.101834" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-10" x="102.764467" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="106.514813" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph1-1" x="110.739" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-4" x="119.514" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="125.027738" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-6" x="129.255097" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="135.40007" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-3" x="139.627428" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph1-1" x="145.053" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="153.828" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-11" x="158.055359" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-6" x="163.653979" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-2" x="169.798952" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-4" x="176.786766" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-12" x="182.300504" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="186.293541" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-12" x="190.5209" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-1" x="194.513937" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-2" x="200.141249" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph2-1" x="207.131" y="10.948"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph1-3" x="213.169" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-4" x="224.93" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="230.443738" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-6" x="234.671097" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="240.81607" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-3" x="245.043428" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph1-1" x="250.469" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="259.244" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-11" x="263.471359" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-6" x="269.069979" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-2" x="275.214952" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-4" x="282.202766" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-12" x="287.716504" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="291.709541" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-12" x="295.9369" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-1" x="299.929937" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-2" x="305.557249" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph1-1" x="312.547" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-7" x="321.322" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-3" x="327.404806" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-10" x="332.830076" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph0-5" x="336.580422" y="9.154"></use>
<use xlink:href="#statetransitiontable1.svg-glyph0-6" x="340.80778" y="9.154"></use>
</g>
<g>
<use xlink:href="#statetransitiontable1.svg-glyph2-1" x="346.953" y="10.948"></use>
</g>
</g>
</svg><a href="#section-3.8.1.4-1.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-16" class="selfRef">Figure 16</a></figcaption></figure>
<figure id="figure-17">
<div id="section-3.8.1.4-2.1">
<div class="artwork art-svg alignLeft" id="section-3.8.1.4-2.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="183pt" height="11pt" viewBox="0 0 183 11" version="1.1">
<defs>
<g>
<g id="statetransitiontable2.svg-glyph0-0">
<path d=""></path>
</g>
<g id="statetransitiontable2.svg-glyph0-1">
<path d="M 5.09375 -1.671875 C 5.09375 -1.71875 5.078125 -1.796875 4.953125 -1.796875 C 4.859375 -1.796875 4.859375 -1.75 4.8125 -1.625 C 4.546875 -0.921875 3.84375 -0.640625 3.375 -0.640625 C 3.125 -0.640625 2.890625 -0.71875 2.640625 -0.828125 C 2.15625 -1.015625 2.03125 -1.015625 1.875 -1.015625 C 1.75 -1.015625 1.625 -1.015625 1.515625 -0.96875 C 2.03125 -1.546875 2.453125 -1.921875 3.046875 -2.46875 C 3.765625 -3.078125 4.078125 -3.375 4.25 -3.5625 C 5.078125 -4.390625 5.5 -5.078125 5.5 -5.171875 C 5.5 -5.265625 5.375 -5.265625 5.375 -5.265625 C 5.296875 -5.265625 5.265625 -5.21875 5.21875 -5.140625 C 4.90625 -4.625 4.625 -4.375 4.3125 -4.375 C 4.0625 -4.375 3.9375 -4.484375 3.703125 -4.765625 C 3.453125 -5.0625 3.25 -5.265625 2.90625 -5.265625 C 2.03125 -5.265625 1.5 -4.1875 1.5 -3.9375 C 1.5 -3.890625 1.515625 -3.828125 1.625 -3.828125 C 1.71875 -3.828125 1.734375 -3.875 1.765625 -3.953125 C 1.96875 -4.4375 2.546875 -4.515625 2.765625 -4.515625 C 3.03125 -4.515625 3.265625 -4.4375 3.515625 -4.328125 C 3.96875 -4.140625 4.15625 -4.140625 4.28125 -4.140625 C 4.359375 -4.140625 4.40625 -4.140625 4.46875 -4.140625 C 4.078125 -3.6875 3.4375 -3.109375 2.890625 -2.625 C 2.125 -1.953125 1.921875 -1.734375 1.6875 -1.5 C 0.953125 -0.765625 0.515625 -0.0625 0.515625 0.03125 C 0.515625 0.09375 0.578125 0.125 0.640625 0.125 C 0.71875 0.125 0.734375 0.109375 0.8125 -0.03125 C 1 -0.328125 1.390625 -0.78125 1.828125 -0.78125 C 2.078125 -0.78125 2.203125 -0.6875 2.4375 -0.390625 C 2.671875 -0.125 2.875 0.125 3.25 0.125 C 4.421875 0.125 5.09375 -1.40625 5.09375 -1.671875 Z M 5.09375 -1.671875 "></path>
</g>
<g id="statetransitiontable2.svg-glyph0-2">
<path d="M 5 -1.296875 C 5 -1.375 4.921875 -1.4375 4.875 -1.4375 C 4.84375 -1.4375 4.828125 -1.421875 4.71875 -1.3125 C 3.953125 -0.296875 2.828125 -0.125 2.359375 -0.125 C 1.6875 -0.125 1.328125 -0.65625 1.328125 -1.546875 C 1.328125 -1.703125 1.328125 -2.015625 1.5 -2.765625 L 2.140625 -2.765625 C 2.46875 -2.765625 3.28125 -2.796875 3.84375 -3.015625 C 4.75 -3.359375 4.84375 -4.046875 4.84375 -4.265625 C 4.84375 -4.796875 4.390625 -5.265625 3.59375 -5.265625 C 2.34375 -5.265625 0.53125 -4.140625 0.53125 -2.015625 C 0.53125 -0.75 1.25 0.125 2.34375 0.125 C 3.96875 0.125 5 -1.140625 5 -1.296875 Z M 4.484375 -4.265625 C 4.484375 -3.015625 2.5625 -3.015625 2.0625 -3.015625 L 1.5625 -3.015625 C 2.078125 -4.859375 3.21875 -5.03125 3.59375 -5.03125 C 4.125 -5.03125 4.484375 -4.71875 4.484375 -4.265625 Z M 4.484375 -4.265625 "></path>
</g>
<g id="statetransitiontable2.svg-glyph0-3">
<path d="M 5.09375 -4.546875 C 5.09375 -4.9375 4.71875 -5.265625 4.125 -5.265625 C 3.640625 -5.265625 3.09375 -5.0625 2.59375 -4.328125 C 2.515625 -4.953125 2.03125 -5.265625 1.546875 -5.265625 C 1.09375 -5.265625 0.84375 -4.90625 0.703125 -4.65625 C 0.5 -4.21875 0.328125 -3.5 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.8125 -5.03125 1.890625 -4.828125 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.5625 0.03125 1.640625 -0.203125 C 1.671875 -0.296875 2.109375 -2.109375 2.1875 -2.375 C 2.25 -2.640625 2.3125 -2.890625 2.375 -3.15625 L 2.515625 -3.671875 C 2.546875 -3.78125 2.875 -4.359375 3.171875 -4.625 C 3.3125 -4.75 3.625 -5.03125 4.109375 -5.03125 C 4.296875 -5.03125 4.5 -5 4.65625 -4.890625 C 4.28125 -4.8125 4.09375 -4.546875 4.09375 -4.296875 C 4.09375 -4 4.3125 -3.90625 4.484375 -3.90625 C 4.8125 -3.90625 5.09375 -4.203125 5.09375 -4.546875 Z M 5.09375 -4.546875 "></path>
</g>
<g id="statetransitiontable2.svg-glyph0-4">
<path d="M 5.453125 -3.28125 C 5.453125 -4.421875 4.703125 -5.265625 3.625 -5.265625 C 2.046875 -5.265625 0.484375 -3.546875 0.484375 -1.859375 C 0.484375 -0.734375 1.234375 0.125 2.3125 0.125 C 3.90625 0.125 5.453125 -1.609375 5.453125 -3.28125 Z M 4.65625 -3.71875 C 4.65625 -3.234375 4.40625 -1.953125 3.9375 -1.234375 C 3.453125 -0.4375 2.796875 -0.125 2.328125 -0.125 C 1.734375 -0.125 1.296875 -0.59375 1.296875 -1.4375 C 1.296875 -1.984375 1.578125 -3.203125 1.90625 -3.796875 C 2.453125 -4.71875 3.125 -5.03125 3.609375 -5.03125 C 4.203125 -5.03125 4.65625 -4.546875 4.65625 -3.71875 Z M 4.65625 -3.71875 "></path>
</g>
<g id="statetransitiontable2.svg-glyph0-5">
<path d="M 4.640625 -1.84375 C 4.640625 -2.015625 4.640625 -2.359375 4.25 -2.734375 C 3.953125 -3.03125 3.671875 -3.078125 3.03125 -3.21875 C 2.703125 -3.28125 2.1875 -3.390625 2.1875 -3.9375 C 2.1875 -4.171875 2.40625 -5.03125 3.53125 -5.03125 C 4.046875 -5.03125 4.53125 -4.84375 4.65625 -4.40625 C 4.125 -4.40625 4.09375 -3.9375 4.09375 -3.9375 C 4.09375 -3.6875 4.328125 -3.625 4.4375 -3.625 C 4.609375 -3.625 4.9375 -3.75 4.9375 -4.25 C 4.9375 -4.75 4.484375 -5.265625 3.546875 -5.265625 C 1.984375 -5.265625 1.5625 -4.046875 1.5625 -3.546875 C 1.5625 -2.640625 2.453125 -2.453125 2.71875 -2.390625 C 2.921875 -2.359375 3.25 -2.28125 3.328125 -2.265625 C 3.484375 -2.21875 4.015625 -2.03125 4.015625 -1.453125 C 4.015625 -1.09375 3.6875 -0.125 2.296875 -0.125 C 2.046875 -0.125 1.140625 -0.15625 0.90625 -0.8125 C 1.390625 -0.75 1.625 -1.125 1.625 -1.390625 C 1.625 -1.640625 1.453125 -1.765625 1.21875 -1.765625 C 0.953125 -1.765625 0.609375 -1.5625 0.609375 -1.03125 C 0.609375 -0.328125 1.328125 0.125 2.28125 0.125 C 4.09375 0.125 4.640625 -1.21875 4.640625 -1.84375 Z M 4.640625 -1.84375 "></path>
</g>
<g id="statetransitiontable2.svg-glyph0-6">
<path d="M 3.640625 -1.703125 C 3.640625 -1.78125 3.578125 -1.8125 3.515625 -1.8125 C 3.515625 -1.8125 3.4375 -1.8125 3.421875 -1.765625 C 3.421875 -1.765625 3.390625 -1.75 3.3125 -1.546875 C 3.0625 -0.953125 2.515625 -0.125 1.8125 -0.125 C 1.453125 -0.125 1.4375 -0.421875 1.4375 -0.6875 C 1.4375 -0.6875 1.4375 -0.921875 1.46875 -1.0625 L 2.40625 -4.8125 L 3.5 -4.8125 C 3.734375 -4.8125 3.84375 -4.8125 3.84375 -5.015625 C 3.84375 -5.15625 3.78125 -5.15625 3.53125 -5.15625 L 2.484375 -5.15625 L 2.921875 -6.890625 C 2.96875 -7.0625 2.96875 -7.09375 2.96875 -7.171875 C 2.96875 -7.359375 2.828125 -7.46875 2.671875 -7.46875 C 2.5625 -7.46875 2.296875 -7.4375 2.203125 -7.046875 L 1.734375 -5.15625 L 0.609375 -5.15625 C 0.375 -5.15625 0.265625 -5.15625 0.265625 -4.921875 C 0.265625 -4.8125 0.34375 -4.8125 0.578125 -4.8125 L 1.640625 -4.8125 L 0.84375 -1.65625 C 0.75 -1.234375 0.71875 -1.109375 0.71875 -0.953125 C 0.71875 -0.390625 1.109375 0.125 1.78125 0.125 C 2.984375 0.125 3.640625 -1.625 3.640625 -1.703125 Z M 3.640625 -1.703125 "></path>
</g>
<g id="statetransitiontable2.svg-glyph0-7">
<path d="M 3.59375 -1.421875 C 3.53125 -1.21875 3.53125 -1.1875 3.375 -0.96875 C 3.109375 -0.640625 2.578125 -0.125 2.015625 -0.125 C 1.53125 -0.125 1.25 -0.5625 1.25 -1.265625 C 1.25 -1.921875 1.625 -3.265625 1.859375 -3.765625 C 2.265625 -4.609375 2.828125 -5.03125 3.28125 -5.03125 C 4.078125 -5.03125 4.234375 -4.046875 4.234375 -3.953125 C 4.234375 -3.953125 4.203125 -3.796875 4.1875 -3.765625 Z M 5.796875 -1.703125 C 5.796875 -1.765625 5.75 -1.8125 5.671875 -1.8125 C 5.5625 -1.8125 5.5625 -1.75 5.515625 -1.578125 C 5.328125 -0.875 5.109375 -0.125 4.609375 -0.125 C 4.265625 -0.125 4.25 -0.4375 4.25 -0.671875 C 4.25 -0.9375 4.28125 -1.078125 4.390625 -1.546875 L 4.625 -2.453125 C 5.0625 -4.25 5.171875 -4.671875 5.171875 -4.75 C 5.171875 -4.90625 5.046875 -5.046875 4.859375 -5.046875 C 4.484375 -5.046875 4.390625 -4.625 4.359375 -4.484375 C 4.234375 -4.796875 3.90625 -5.265625 3.28125 -5.265625 C 1.9375 -5.265625 0.484375 -3.53125 0.484375 -1.75 C 0.484375 -0.578125 1.171875 0.125 1.984375 0.125 C 2.640625 0.125 3.203125 -0.390625 3.53125 -0.78125 C 3.65625 -0.078125 4.21875 0.125 4.578125 0.125 C 4.9375 0.125 5.21875 -0.09375 5.4375 -0.53125 C 5.625 -0.9375 5.796875 -1.65625 5.796875 -1.703125 Z M 5.796875 -1.703125 "></path>
</g>
<g id="statetransitiontable2.svg-glyph0-8">
<path d="M 6.640625 -1.703125 C 6.640625 -1.765625 6.59375 -1.8125 6.515625 -1.8125 C 6.40625 -1.8125 6.390625 -1.78125 6.328125 -1.578125 C 6.0625 -0.59375 5.609375 -0.125 5.140625 -0.125 C 5.015625 -0.125 4.828125 -0.125 4.828125 -0.515625 C 4.828125 -0.8125 4.953125 -1.171875 5.03125 -1.34375 C 5.265625 -2 5.765625 -3.328125 5.765625 -4.015625 C 5.765625 -4.734375 5.359375 -5.265625 4.453125 -5.265625 C 3.375 -5.265625 2.828125 -4.515625 2.609375 -4.21875 C 2.5625 -4.90625 2.078125 -5.265625 1.546875 -5.265625 C 1.171875 -5.265625 0.90625 -5.046875 0.703125 -4.640625 C 0.484375 -4.203125 0.328125 -3.484375 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.828125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.796875 -5.03125 1.890625 -4.84375 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.515625 0.046875 1.609375 -0.125 C 1.640625 -0.1875 1.75 -0.609375 1.8125 -0.84375 L 2.0625 -1.921875 L 2.46875 -3.5 C 2.484375 -3.578125 2.78125 -4.171875 3.234375 -4.546875 C 3.53125 -4.84375 3.9375 -5.03125 4.40625 -5.03125 C 4.890625 -5.03125 5.0625 -4.671875 5.0625 -4.203125 C 5.0625 -3.515625 4.5625 -2.15625 4.328125 -1.5 C 4.21875 -1.21875 4.15625 -1.0625 4.15625 -0.84375 C 4.15625 -0.3125 4.53125 0.125 5.109375 0.125 C 6.21875 0.125 6.640625 -1.640625 6.640625 -1.703125 Z M 6.640625 -1.703125 "></path>
</g>
<g id="statetransitiontable2.svg-glyph1-0">
<path d=""></path>
</g>
<g id="statetransitiontable2.svg-glyph1-1">
<path d="M 8.78125 1.625 L 8.78125 1.359375 L 0 1.359375 L 0 1.625 Z M 8.78125 1.625 "></path>
</g>
<g id="statetransitiontable2.svg-glyph1-2">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="statetransitiontable2.svg-glyph1-3">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="statetransitiontable2.svg-glyph1-4">
<path d="M 5.265625 -2.40625 C 5.265625 -3.828125 4.296875 -5.015625 3.046875 -5.015625 C 2.359375 -5.015625 1.84375 -4.703125 1.53125 -4.375 L 1.53125 -6.84375 C 2.046875 -6.6875 2.46875 -6.671875 2.59375 -6.671875 C 3.9375 -6.671875 4.8125 -7.65625 4.8125 -7.828125 C 4.8125 -7.875 4.78125 -7.9375 4.703125 -7.9375 C 4.703125 -7.9375 4.65625 -7.9375 4.546875 -7.890625 C 3.890625 -7.609375 3.3125 -7.5625 3 -7.5625 C 2.21875 -7.5625 1.65625 -7.8125 1.421875 -7.90625 C 1.34375 -7.9375 1.296875 -7.9375 1.296875 -7.9375 C 1.203125 -7.9375 1.203125 -7.859375 1.203125 -7.671875 L 1.203125 -4.125 C 1.203125 -3.90625 1.203125 -3.84375 1.34375 -3.84375 C 1.40625 -3.84375 1.421875 -3.84375 1.546875 -4 C 1.875 -4.484375 2.4375 -4.765625 3.03125 -4.765625 C 3.671875 -4.765625 3.984375 -4.1875 4.078125 -3.984375 C 4.28125 -3.515625 4.296875 -2.921875 4.296875 -2.46875 C 4.296875 -2.015625 4.296875 -1.34375 3.953125 -0.796875 C 3.6875 -0.375 3.234375 -0.078125 2.703125 -0.078125 C 1.90625 -0.078125 1.140625 -0.609375 0.921875 -1.484375 C 0.984375 -1.453125 1.046875 -1.453125 1.109375 -1.453125 C 1.3125 -1.453125 1.640625 -1.5625 1.640625 -1.96875 C 1.640625 -2.3125 1.40625 -2.5 1.109375 -2.5 C 0.890625 -2.5 0.578125 -2.390625 0.578125 -1.921875 C 0.578125 -0.90625 1.40625 0.25 2.71875 0.25 C 4.078125 0.25 5.265625 -0.890625 5.265625 -2.40625 Z M 5.265625 -2.40625 "></path>
</g>
<g id="statetransitiontable2.svg-glyph1-5">
<path d="M 5.359375 -2.4375 C 5.359375 -4.03125 4.25 -5.09375 3.046875 -5.09375 C 1.984375 -5.09375 1.59375 -4.171875 1.46875 -3.84375 L 1.46875 -4.15625 C 1.46875 -7.1875 2.9375 -7.65625 3.578125 -7.65625 C 4.015625 -7.65625 4.453125 -7.53125 4.671875 -7.171875 C 4.53125 -7.171875 4.078125 -7.171875 4.078125 -6.6875 C 4.078125 -6.421875 4.25 -6.1875 4.5625 -6.1875 C 4.859375 -6.1875 5.0625 -6.375 5.0625 -6.71875 C 5.0625 -7.34375 4.609375 -7.953125 3.578125 -7.953125 C 2.0625 -7.953125 0.484375 -6.40625 0.484375 -3.78125 C 0.484375 -0.484375 1.921875 0.25 2.9375 0.25 C 4.25 0.25 5.359375 -0.890625 5.359375 -2.4375 Z M 4.375 -2.453125 C 4.375 -1.84375 4.375 -1.296875 4.140625 -0.84375 C 3.84375 -0.28125 3.421875 -0.078125 2.9375 -0.078125 C 2.1875 -0.078125 1.828125 -0.734375 1.71875 -0.984375 C 1.609375 -1.296875 1.5 -1.890625 1.5 -2.71875 C 1.5 -3.671875 1.921875 -4.859375 3 -4.859375 C 3.65625 -4.859375 4 -4.40625 4.1875 -4 C 4.375 -3.5625 4.375 -2.96875 4.375 -2.453125 Z M 4.375 -2.453125 "></path>
</g>
<g id="statetransitiontable2.svg-glyph2-0">
<path d=""></path>
</g>
<g id="statetransitiontable2.svg-glyph2-1">
<path d="M 2.375 -4.96875 C 2.375 -5.140625 2.25 -5.28125 2.0625 -5.28125 C 1.859375 -5.28125 1.625 -5.078125 1.625 -4.84375 C 1.625 -4.671875 1.75 -4.546875 1.9375 -4.546875 C 2.140625 -4.546875 2.375 -4.734375 2.375 -4.96875 Z M 2.53125 -1.140625 C 2.53125 -1.21875 2.46875 -1.25 2.40625 -1.25 C 2.3125 -1.25 2.296875 -1.1875 2.265625 -1.109375 C 2.09375 -0.46875 1.765625 -0.140625 1.4375 -0.140625 C 1.34375 -0.140625 1.25 -0.1875 1.25 -0.390625 C 1.25 -0.59375 1.3125 -0.734375 1.40625 -0.984375 L 1.90625 -2.265625 C 1.96875 -2.453125 2.078125 -2.703125 2.078125 -2.84375 C 2.078125 -3.234375 1.75 -3.515625 1.34375 -3.515625 C 0.578125 -3.515625 0.234375 -2.40625 0.234375 -2.296875 C 0.234375 -2.21875 0.296875 -2.1875 0.359375 -2.1875 C 0.46875 -2.1875 0.46875 -2.234375 0.5 -2.3125 C 0.71875 -3.078125 1.078125 -3.296875 1.328125 -3.296875 C 1.4375 -3.296875 1.515625 -3.25 1.515625 -3.03125 C 1.515625 -2.953125 1.5 -2.84375 1.421875 -2.59375 L 1.21875 -2.046875 C 1 -1.515625 1 -1.5 0.78125 -0.953125 C 0.734375 -0.828125 0.703125 -0.734375 0.703125 -0.59375 C 0.703125 -0.203125 1 0.078125 1.421875 0.078125 C 2.203125 0.078125 2.53125 -1.03125 2.53125 -1.140625 Z M 2.53125 -1.140625 "></path>
</g>
<g id="statetransitiontable2.svg-glyph3-0">
<path d=""></path>
</g>
<g id="statetransitiontable2.svg-glyph3-1">
<path d="M 8.296875 -2.984375 C 8.296875 -3.234375 8.0625 -3.234375 7.90625 -3.234375 L 1.390625 -3.234375 C 1.21875 -3.234375 0.984375 -3.234375 0.984375 -2.984375 C 0.984375 -2.75 1.21875 -2.75 1.390625 -2.75 L 7.90625 -2.75 C 8.0625 -2.75 8.296875 -2.75 8.296875 -2.984375 Z M 8.296875 -2.984375 "></path>
</g>
<g id="statetransitiontable2.svg-glyph4-0">
<path d=""></path>
</g>
<g id="statetransitiontable2.svg-glyph4-1">
<path d="M 3.796875 -1.421875 L 3.546875 -1.421875 C 3.53125 -1.265625 3.46875 -0.875 3.375 -0.71875 C 3.328125 -0.65625 2.71875 -0.65625 2.59375 -0.65625 L 1.171875 -0.65625 L 2.25 -1.625 C 2.375 -1.75 2.703125 -2.015625 2.84375 -2.125 C 3.328125 -2.578125 3.796875 -3.015625 3.796875 -3.734375 C 3.796875 -4.6875 3 -5.296875 2.015625 -5.296875 C 1.046875 -5.296875 0.421875 -4.578125 0.421875 -3.859375 C 0.421875 -3.46875 0.734375 -3.421875 0.84375 -3.421875 C 1.015625 -3.421875 1.265625 -3.53125 1.265625 -3.84375 C 1.265625 -4.25 0.859375 -4.25 0.765625 -4.25 C 1 -4.84375 1.53125 -5.03125 1.921875 -5.03125 C 2.65625 -5.03125 3.046875 -4.40625 3.046875 -3.734375 C 3.046875 -2.90625 2.46875 -2.296875 1.515625 -1.34375 L 0.515625 -0.296875 C 0.421875 -0.21875 0.421875 -0.203125 0.421875 0 L 3.5625 0 Z M 3.796875 -1.421875 "></path>
</g>
<g id="statetransitiontable2.svg-glyph4-2">
<path d="M 3.796875 -1.59375 C 3.796875 -2.515625 3.125 -3.34375 2.1875 -3.34375 C 1.796875 -3.34375 1.421875 -3.21875 1.109375 -2.9375 L 1.109375 -4.484375 C 1.21875 -4.453125 1.53125 -4.359375 1.875 -4.359375 C 2.875 -4.359375 3.46875 -5.0625 3.46875 -5.1875 C 3.46875 -5.28125 3.421875 -5.296875 3.375 -5.296875 C 3.375 -5.296875 3.34375 -5.296875 3.28125 -5.265625 C 2.96875 -5.140625 2.59375 -5.046875 2.171875 -5.046875 C 1.703125 -5.046875 1.3125 -5.15625 1.0625 -5.265625 C 0.984375 -5.296875 0.953125 -5.296875 0.953125 -5.296875 C 0.859375 -5.296875 0.859375 -5.21875 0.859375 -5.0625 L 0.859375 -2.734375 C 0.859375 -2.59375 0.859375 -2.5 0.984375 -2.5 C 1.046875 -2.5 1.0625 -2.53125 1.109375 -2.59375 C 1.203125 -2.703125 1.5 -3.109375 2.1875 -3.109375 C 2.625 -3.109375 2.84375 -2.75 2.921875 -2.59375 C 3.046875 -2.3125 3.0625 -1.9375 3.0625 -1.640625 C 3.0625 -1.34375 3.0625 -0.90625 2.84375 -0.5625 C 2.6875 -0.3125 2.359375 -0.078125 1.9375 -0.078125 C 1.421875 -0.078125 0.921875 -0.390625 0.734375 -0.921875 C 0.75 -0.90625 0.8125 -0.90625 0.8125 -0.90625 C 1.03125 -0.90625 1.21875 -1.046875 1.21875 -1.296875 C 1.21875 -1.59375 0.984375 -1.703125 0.828125 -1.703125 C 0.671875 -1.703125 0.421875 -1.625 0.421875 -1.28125 C 0.421875 -0.5625 1.046875 0.171875 1.953125 0.171875 C 2.953125 0.171875 3.796875 -0.609375 3.796875 -1.59375 Z M 3.796875 -1.59375 "></path>
</g>
<g id="statetransitiontable2.svg-glyph4-3">
<path d="M 3.875 -1.625 C 3.875 -2.65625 3.078125 -3.390625 2.203125 -3.390625 C 1.625 -3.390625 1.28125 -3.03125 1.09375 -2.640625 C 1.09375 -3.296875 1.15625 -3.875 1.4375 -4.359375 C 1.6875 -4.765625 2.09375 -5.09375 2.59375 -5.09375 C 2.75 -5.09375 3.109375 -5.0625 3.296875 -4.796875 C 2.9375 -4.765625 2.90625 -4.5 2.90625 -4.421875 C 2.90625 -4.171875 3.09375 -4.046875 3.28125 -4.046875 C 3.421875 -4.046875 3.65625 -4.125 3.65625 -4.4375 C 3.65625 -4.90625 3.296875 -5.296875 2.578125 -5.296875 C 1.46875 -5.296875 0.34375 -4.25 0.34375 -2.53125 C 0.34375 -0.359375 1.359375 0.171875 2.125 0.171875 C 2.515625 0.171875 2.921875 0.0625 3.28125 -0.28125 C 3.609375 -0.59375 3.875 -0.921875 3.875 -1.625 Z M 3.125 -1.625 C 3.125 -1.21875 3.125 -0.875 2.96875 -0.578125 C 2.75 -0.21875 2.484375 -0.078125 2.125 -0.078125 C 1.703125 -0.078125 1.4375 -0.359375 1.328125 -0.59375 C 1.140625 -0.953125 1.125 -1.484375 1.125 -1.796875 C 1.125 -2.578125 1.546875 -3.171875 2.171875 -3.171875 C 2.5625 -3.171875 2.8125 -2.96875 2.953125 -2.6875 C 3.125 -2.390625 3.125 -2.03125 3.125 -1.625 Z M 3.125 -1.625 "></path>
</g>
<g id="statetransitiontable2.svg-glyph5-0">
<path d=""></path>
</g>
<g id="statetransitiontable2.svg-glyph5-1">
<path d="M 5.859375 -1.984375 C 5.859375 -2.171875 5.6875 -2.171875 5.578125 -2.171875 L 1 -2.171875 C 0.890625 -2.171875 0.703125 -2.171875 0.703125 -1.984375 C 0.703125 -1.8125 0.890625 -1.8125 1 -1.8125 L 5.578125 -1.8125 C 5.6875 -1.8125 5.859375 -1.8125 5.859375 -1.984375 Z M 5.859375 -1.984375 "></path>
</g>
</g>
</defs>
<g id="statetransitiontable2.svg-surface1">
<g>
<use xlink:href="#statetransitiontable2.svg-glyph0-1" x="0.495" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph0-2" x="6.471404" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-3" x="11.896674" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph0-4" x="17.495294" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph1-1" x="23.119" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph0-5" x="31.894" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-6" x="37.407738" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-7" x="41.635097" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-6" x="47.78007" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-2" x="52.007428" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph2-1" x="57.433" y="9.993"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph1-2" x="64.135" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph1-3" x="76.563626" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph1-4" x="82.416892" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph1-5" x="88.270158" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph3-1" x="96.777" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph0-4" x="108.732" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-8" x="114.359313" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-2" x="121.347127" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph1-1" x="126.772" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph0-5" x="135.547" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-6" x="141.060738" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-7" x="145.288097" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-6" x="151.43307" y="8.199"></use>
<use xlink:href="#statetransitiontable2.svg-glyph0-2" x="155.660428" y="8.199"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph4-1" x="161.086" y="9.993"></use>
<use xlink:href="#statetransitiontable2.svg-glyph4-2" x="165.320514" y="9.993"></use>
<use xlink:href="#statetransitiontable2.svg-glyph4-3" x="169.555028" y="9.993"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph5-1" x="173.788" y="9.993"></use>
</g>
<g>
<use xlink:href="#statetransitiontable2.svg-glyph2-1" x="180.375" y="9.993"></use>
</g>
</g>
</svg><a href="#section-3.8.1.4-2.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-17" class="selfRef">Figure 17</a></figcaption></figure>
</section>
</div>
<div id="default-state-transition">
<section id="section-3.8.1.5">
<h5 id="name-default_state_transition">
<a href="#section-3.8.1.5" class="section-number selfRef">3.8.1.5. </a><a href="#name-default_state_transition" class="section-name selfRef">default_state_transition</a>
</h5>
<div class="artwork art-text alignLeft art-ascii-art" id="section-3.8.1.5-1">
<pre> 0, 0, 0, 0, 0, 0, 0, 0, 20, 21, 22, 23, 24, 25, 26, 27,
28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42,
43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 56, 57,
58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73,
74, 75, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88,
89, 90, 91, 92, 93, 94, 94, 95, 96, 97, 98, 99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,152,153,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,189,190,190,191,192,194,194,
195,196,197,198,199,200,201,202,202,204,205,206,207,208,209,209,
210,211,212,213,215,215,216,217,218,219,220,220,222,223,224,225,
226,227,227,229,229,230,231,232,234,234,235,236,237,238,239,240,
241,242,243,244,245,246,247,248,248, 0, 0, 0, 0, 0, 0, 0,
</pre><a href="#section-3.8.1.5-1" class="pilcrow">¶</a>
</div>
</section>
</div>
<div id="alternative-state-transition-table">
<section id="section-3.8.1.6">
<h5 id="name-alternative-state-transitio">
<a href="#section-3.8.1.6" class="section-number selfRef">3.8.1.6. </a><a href="#name-alternative-state-transitio" class="section-name selfRef">Alternative State Transition Table</a>
</h5>
<p id="section-3.8.1.6-1">The alternative state transition table has been built using iterative minimization of frame sizes and generally performs better than the default. To use it, the coder_type (see <a href="#coder-type" class="xref">Section 4.1.3</a>) MUST be set to 2 and the difference to the default MUST be stored in the <code>Parameters</code>, see <a href="#parameters" class="xref">Section 4.1</a>. The reference implementation of FFV1 in FFmpeg uses <a href="#figureAltStateTransition" class="xref">Figure 18</a> by default at the time of this writing when Range coding is used.<a href="#section-3.8.1.6-1" class="pilcrow">¶</a></p>
<span id="name-alternative-state-transition"></span><div id="figureAltStateTransition">
<figure id="figure-18">
<div class="artwork art-text alignLeft art-ascii-art" id="section-3.8.1.6-2.1">
<pre> 0, 10, 10, 10, 10, 16, 16, 16, 28, 16, 16, 29, 42, 49, 20, 49,
59, 25, 26, 26, 27, 31, 33, 33, 33, 34, 34, 37, 67, 38, 39, 39,
40, 40, 41, 79, 43, 44, 45, 45, 48, 48, 64, 50, 51, 52, 88, 52,
53, 74, 55, 57, 58, 58, 74, 60,101, 61, 62, 84, 66, 66, 68, 69,
87, 82, 71, 97, 73, 73, 82, 75,111, 77, 94, 78, 87, 81, 83, 97,
85, 83, 94, 86, 99, 89, 90, 99,111, 92, 93,134, 95, 98,105, 98,
105,110,102,108,102,118,103,106,106,113,109,112,114,112,116,125,
115,116,117,117,126,119,125,121,121,123,145,124,126,131,127,129,
165,130,132,138,133,135,145,136,137,139,146,141,143,142,144,148,
147,155,151,149,151,150,152,157,153,154,156,168,158,162,161,160,
172,163,169,164,166,184,167,170,177,174,171,173,182,176,180,178,
175,189,179,181,186,183,192,185,200,187,191,188,190,197,193,196,
197,194,195,196,198,202,199,201,210,203,207,204,205,206,208,214,
209,211,221,212,213,215,224,216,217,218,219,220,222,228,223,225,
226,224,227,229,240,230,231,232,233,234,235,236,238,239,237,242,
241,243,242,244,245,246,247,248,249,250,251,252,252,253,254,255,
</pre>
</div>
<figcaption><a href="#figure-18" class="selfRef">Figure 18</a>:
<a href="#name-alternative-state-transition" class="selfRef">Alternative state transition table for Range coding.</a>
</figcaption></figure>
</div>
</section>
</div>
</section>
</div>
<div id="golomb-rice-mode">
<section id="section-3.8.2">
<h4 id="name-golomb-rice-mode">
<a href="#section-3.8.2" class="section-number selfRef">3.8.2. </a><a href="#name-golomb-rice-mode" class="section-name selfRef">Golomb Rice Mode</a>
</h4>
<p id="section-3.8.2-1">The end of the bitstream of the <code>Frame</code> is filled with 0-bits until that the bitstream contains a multiple of 8 bits.<a href="#section-3.8.2-1" class="pilcrow">¶</a></p>
<div id="signed-golomb-rice-codes">
<section id="section-3.8.2.1">
<h5 id="name-signed-golomb-rice-codes">
<a href="#section-3.8.2.1" class="section-number selfRef">3.8.2.1. </a><a href="#name-signed-golomb-rice-codes" class="section-name selfRef">Signed Golomb Rice Codes</a>
</h5>
<p id="section-3.8.2.1-1">This coding mode uses Golomb Rice codes. The VLC is split into 2 parts, the prefix stores the most significant bits and the suffix stores the k least significant bits or stores the whole number in the ESC case.<a href="#section-3.8.2.1-1" class="pilcrow">¶</a></p>
<div id="section-3.8.2.1-2">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
int get_ur_golomb(k) { |
for (prefix = 0; prefix < 12; prefix++) { |
if (get_bits(1)) { |
return get_bits(k) + (prefix << k) |
} |
} |
return get_bits(bits) + 11 |
} |
|
int get_sr_golomb(k) { |
v = get_ur_golomb(k); |
if (v & 1) return - (v >> 1) - 1; |
else return (v >> 1); |
}
</pre><a href="#section-3.8.2.1-2" class="pilcrow">¶</a>
</div>
<div id="prefix">
<section id="section-3.8.2.1.1">
<h6 id="name-prefix">
<a href="#section-3.8.2.1.1" class="section-number selfRef">3.8.2.1.1. </a><a href="#name-prefix" class="section-name selfRef">Prefix</a>
</h6>
<table class="center" id="table-1">
<caption><a href="#table-1" class="selfRef">Table 1</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">bits</th>
<th class="text-left" rowspan="1" colspan="1">value</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">0</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">01</td>
<td class="text-left" rowspan="1" colspan="1">1</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">...</td>
<td class="text-left" rowspan="1" colspan="1">...</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">0000 0000 0001</td>
<td class="text-left" rowspan="1" colspan="1">11</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">0000 0000 0000</td>
<td class="text-left" rowspan="1" colspan="1">ESC</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="suffix">
<section id="section-3.8.2.1.2">
<h6 id="name-suffix">
<a href="#section-3.8.2.1.2" class="section-number selfRef">3.8.2.1.2. </a><a href="#name-suffix" class="section-name selfRef">Suffix</a>
</h6>
<table class="center" id="table-2">
<caption><a href="#table-2" class="selfRef">Table 2</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1"></th>
<th class="text-left" rowspan="1" colspan="1"></th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">non ESC</td>
<td class="text-left" rowspan="1" colspan="1">the k least significant bits MSB first</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">ESC</td>
<td class="text-left" rowspan="1" colspan="1">the value - 11, in MSB first order, ESC may only be used if the value cannot be coded as non ESC</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="examples">
<section id="section-3.8.2.1.3">
<h6 id="name-examples">
<a href="#section-3.8.2.1.3" class="section-number selfRef">3.8.2.1.3. </a><a href="#name-examples" class="section-name selfRef">Examples</a>
</h6>
<table class="center" id="table-3">
<caption><a href="#table-3" class="selfRef">Table 3</a></caption>
<thead>
<tr>
<th class="text-center" rowspan="1" colspan="1">k</th>
<th class="text-left" rowspan="1" colspan="1">bits</th>
<th class="text-right" rowspan="1" colspan="1">value</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-center" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">
<code>1</code>
</td>
<td class="text-right" rowspan="1" colspan="1">0</td>
</tr>
<tr>
<td class="text-center" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">
<code>001</code>
</td>
<td class="text-right" rowspan="1" colspan="1">2</td>
</tr>
<tr>
<td class="text-center" rowspan="1" colspan="1">2</td>
<td class="text-left" rowspan="1" colspan="1">
<code>1 00</code>
</td>
<td class="text-right" rowspan="1" colspan="1">0</td>
</tr>
<tr>
<td class="text-center" rowspan="1" colspan="1">2</td>
<td class="text-left" rowspan="1" colspan="1">
<code>1 10</code>
</td>
<td class="text-right" rowspan="1" colspan="1">2</td>
</tr>
<tr>
<td class="text-center" rowspan="1" colspan="1">2</td>
<td class="text-left" rowspan="1" colspan="1">
<code>01 01</code>
</td>
<td class="text-right" rowspan="1" colspan="1">5</td>
</tr>
<tr>
<td class="text-center" rowspan="1" colspan="1">any</td>
<td class="text-left" rowspan="1" colspan="1">
<code>000000000000 10000000</code>
</td>
<td class="text-right" rowspan="1" colspan="1">139</td>
</tr>
</tbody>
</table>
</section>
</div>
</section>
</div>
<div id="run-mode">
<section id="section-3.8.2.2">
<h5 id="name-run-mode">
<a href="#section-3.8.2.2" class="section-number selfRef">3.8.2.2. </a><a href="#name-run-mode" class="section-name selfRef">Run Mode</a>
</h5>
<p id="section-3.8.2.2-1">Run mode is entered when the context is 0 and left as soon as a non-0 difference is found. The level is identical to the predicted one. The run and the first different level are coded.<a href="#section-3.8.2.2-1" class="pilcrow">¶</a></p>
<div id="run-length-coding">
<section id="section-3.8.2.2.1">
<h6 id="name-run-length-coding">
<a href="#section-3.8.2.2.1" class="section-number selfRef">3.8.2.2.1. </a><a href="#name-run-length-coding" class="section-name selfRef">Run Length Coding</a>
</h6>
<p id="section-3.8.2.2.1-1">The run value is encoded in 2 parts, the prefix part stores the more significant part of the run as well as adjusting the run_index that determines the number of bits in the less significant part of the run. The 2nd part of the value stores the less significant part of the run as it is. The run_index is reset for each <code>Plane</code> and slice to 0.<a href="#section-3.8.2.2.1-1" class="pilcrow">¶</a></p>
<div id="section-3.8.2.2.1-2">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
log2_run[41]={ |
0, 0, 0, 0, 1, 1, 1, 1, |
2, 2, 2, 2, 3, 3, 3, 3, |
4, 4, 5, 5, 6, 6, 7, 7, |
8, 9,10,11,12,13,14,15, |
16,17,18,19,20,21,22,23, |
24, |
}; |
|
if (run_count == 0 && run_mode == 1) { |
if (get_bits(1)) { |
run_count = 1 << log2_run[run_index]; |
if (x + run_count <= w) { |
run_index++; |
} |
} else { |
if (log2_run[run_index]) { |
run_count = get_bits(log2_run[run_index]); |
} else { |
run_count = 0; |
} |
if (run_index) { |
run_index--; |
} |
run_mode = 2; |
} |
} |
</pre><a href="#section-3.8.2.2.1-2" class="pilcrow">¶</a>
</div>
<p id="section-3.8.2.2.1-3">The log2_run function is also used within <span>[<a href="#ISO.14495-1.1999" class="xref">ISO.14495-1.1999</a>]</span>.<a href="#section-3.8.2.2.1-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="level-coding">
<section id="section-3.8.2.2.2">
<h6 id="name-level-coding">
<a href="#section-3.8.2.2.2" class="section-number selfRef">3.8.2.2.2. </a><a href="#name-level-coding" class="section-name selfRef">Level Coding</a>
</h6>
<p id="section-3.8.2.2.2-1">Level coding is identical to the normal difference coding with the exception that the 0 value is removed as it cannot occur:<a href="#section-3.8.2.2.2-1" class="pilcrow">¶</a></p>
<div id="section-3.8.2.2.2-2">
<pre class="sourcecode lang-c"> diff = get_vlc_symbol(context_state);
if (diff >= 0) {
diff++;
}
</pre><a href="#section-3.8.2.2.2-2" class="pilcrow">¶</a>
</div>
<p id="section-3.8.2.2.2-3">Note, this is different from JPEG-LS, which doesn't use prediction in run mode and uses a different encoding and context model for the last difference On a small set of test <code>Samples</code> the use of prediction slightly improved the compression rate.<a href="#section-3.8.2.2.2-3" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
<div id="scalar-mode">
<section id="section-3.8.2.3">
<h5 id="name-scalar-mode">
<a href="#section-3.8.2.3" class="section-number selfRef">3.8.2.3. </a><a href="#name-scalar-mode" class="section-name selfRef">Scalar Mode</a>
</h5>
<p id="section-3.8.2.3-1">Each difference is coded with the per context mean prediction removed and a per context value for k.<a href="#section-3.8.2.3-1" class="pilcrow">¶</a></p>
<div id="section-3.8.2.3-2">
<pre class="sourcecode lang-c">get_vlc_symbol(state) {
i = state->count;
k = 0;
while (i < state->error_sum) {
k++;
i += i;
}
v = get_sr_golomb(k);
if (2 * state->drift < -state->count) {
v = -1 - v;
}
ret = sign_extend(v + state->bias, bits);
state->error_sum += abs(v);
state->drift += v;
if (state->count == 128) {
state->count >>= 1;
state->drift >>= 1;
state->error_sum >>= 1;
}
state->count++;
if (state->drift <= -state->count) {
state->bias = max(state->bias - 1, -128);
state->drift = max(state->drift + state->count,
-state->count + 1);
} else if (state->drift > 0) {
state->bias = min(state->bias + 1, 127);
state->drift = min(state->drift - state->count, 0);
}
return ret;
}
</pre><a href="#section-3.8.2.3-2" class="pilcrow">¶</a>
</div>
</section>
</div>
<div id="initial-values-for-the-vlc-context-state">
<section id="section-3.8.2.4">
<h5 id="name-initial-values-for-the-vlc-">
<a href="#section-3.8.2.4" class="section-number selfRef">3.8.2.4. </a><a href="#name-initial-values-for-the-vlc-" class="section-name selfRef">Initial Values for the VLC context state</a>
</h5>
<p id="section-3.8.2.4-1">At keyframes all coder state variables are set to their initial state.<a href="#section-3.8.2.4-1" class="pilcrow">¶</a></p>
<div id="section-3.8.2.4-2">
<pre class="sourcecode lang-c"> drift = 0;
error_sum = 4;
bias = 0;
count = 1;
</pre><a href="#section-3.8.2.4-2" class="pilcrow">¶</a>
</div>
</section>
</div>
</section>
</div>
</section>
</div>
</section>
</div>
<div id="bitstream">
<section id="section-4">
<h2 id="name-bitstream">
<a href="#section-4" class="section-number selfRef">4. </a><a href="#name-bitstream" class="section-name selfRef">Bitstream</a>
</h2>
<p id="section-4-1">An FFV1 bitstream is composed of a series of 1 or more <code>Frames</code> and (when required) a <code>Configuration Record</code>.<a href="#section-4-1" class="pilcrow">¶</a></p>
<p id="section-4-2">Within the following sub-sections, pseudo-code is used to explain the structure of each FFV1 bitstream component, as described in <a href="#pseudo-code" class="xref">Section 2.2.1</a>. <a href="#tablePseudoCodeSymbols" class="xref">Table 4</a> lists symbols used to annotate that pseudo-code in order to define the storage of the data referenced in that line of pseudo-code.<a href="#section-4-2" class="pilcrow">¶</a></p>
<span id="name-definition-of-pseudo-code-s"></span><div id="tablePseudoCodeSymbols">
<table class="center" id="table-4">
<caption>
<a href="#table-4" class="selfRef">Table 4</a>:
<a href="#name-definition-of-pseudo-code-s" class="selfRef">Definition of pseudo-code symbols for this document.</a>
</caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">Symbol</th>
<th class="text-left" rowspan="1" colspan="1">Definition</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">u(n)</td>
<td class="text-left" rowspan="1" colspan="1">unsigned big endian integer using n bits</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">sg</td>
<td class="text-left" rowspan="1" colspan="1">Golomb Rice coded signed scalar symbol coded with the method described in <a href="#golomb-rice-mode" class="xref">Section 3.8.2</a>
</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">br</td>
<td class="text-left" rowspan="1" colspan="1">Range coded Boolean (1-bit) symbol with the method described in <a href="#range-binary-values" class="xref">Section 3.8.1.1</a>
</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">ur</td>
<td class="text-left" rowspan="1" colspan="1">Range coded unsigned scalar symbol coded with the method described in <a href="#range-non-binary-values" class="xref">Section 3.8.1.2</a>
</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">sr</td>
<td class="text-left" rowspan="1" colspan="1">Range coded signed scalar symbol coded with the method described in <a href="#range-non-binary-values" class="xref">Section 3.8.1.2</a>
</td>
</tr>
</tbody>
</table>
</div>
<p id="section-4-4">The same context that is initialized to 128 is used for all fields in the header.<a href="#section-4-4" class="pilcrow">¶</a></p>
<p id="section-4-5">The following MUST be provided by external means during initialization of the decoder:<a href="#section-4-5" class="pilcrow">¶</a></p>
<p id="section-4-6"><code>frame_pixel_width</code> is defined as <code>Frame</code> width in <code>Pixels</code>.<a href="#section-4-6" class="pilcrow">¶</a></p>
<p id="section-4-7"><code>frame_pixel_height</code> is defined as <code>Frame</code> height in <code>Pixels</code>.<a href="#section-4-7" class="pilcrow">¶</a></p>
<p id="section-4-8">Default values at the decoder initialization phase:<a href="#section-4-8" class="pilcrow">¶</a></p>
<p id="section-4-9"><code>ConfigurationRecordIsPresent</code> is set to 0.<a href="#section-4-9" class="pilcrow">¶</a></p>
<div id="parameters">
<section id="section-4.1">
<h3 id="name-parameters">
<a href="#section-4.1" class="section-number selfRef">4.1. </a><a href="#name-parameters" class="section-name selfRef">Parameters</a>
</h3>
<p id="section-4.1-1">The <code>Parameters</code> section contains significant characteristics about the decoding configuration used for all instances of <code>Frame</code> (in FFV1 version 0 and 1) or the whole FFV1 bitstream (other versions), including the stream version, color configuration, and quantization tables. <a href="#figureBitstream" class="xref">Figure 19</a> describes the contents of the bitstream.<a href="#section-4.1-1" class="pilcrow">¶</a></p>
<span id="name-a-pseudo-code-description-of"></span><div id="figureBitstream">
<figure id="figure-19">
<div id="section-4.1-2.1">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
Parameters( ) { |
version | ur
if (version >= 3) { |
micro_version | ur
} |
coder_type | ur
if (coder_type > 1) { |
for (i = 1; i < 256; i++) { |
state_transition_delta[ i ] | sr
} |
} |
colorspace_type | ur
if (version >= 1) { |
bits_per_raw_sample | ur
} |
chroma_planes | br
log2_h_chroma_subsample | ur
log2_v_chroma_subsample | ur
extra_plane | br
if (version >= 3) { |
num_h_slices - 1 | ur
num_v_slices - 1 | ur
quant_table_set_count | ur
} |
for (i = 0; i < quant_table_set_count; i++) { |
QuantizationTableSet( i ) |
} |
if (version >= 3) { |
for (i = 0; i < quant_table_set_count; i++) { |
states_coded | br
if (states_coded) { |
for (j = 0; j < context_count[ i ]; j++) { |
for (k = 0; k < CONTEXT_SIZE; k++) { |
initial_state_delta[ i ][ j ][ k ] | sr
} |
} |
} |
} |
ec | ur
intra | ur
} |
} |
</pre>
</div>
<figcaption><a href="#figure-19" class="selfRef">Figure 19</a>:
<a href="#name-a-pseudo-code-description-of" class="selfRef">A pseudo-code description of the bitstream contents.</a>
</figcaption></figure>
</div>
<p id="section-4.1-3">CONTEXT_SIZE is 32.<a href="#section-4.1-3" class="pilcrow">¶</a></p>
<div id="version">
<section id="section-4.1.1">
<h4 id="name-version">
<a href="#section-4.1.1" class="section-number selfRef">4.1.1. </a><a href="#name-version" class="section-name selfRef">version</a>
</h4>
<p id="section-4.1.1-1"><code>version</code> specifies the version of the FFV1 bitstream.<a href="#section-4.1.1-1" class="pilcrow">¶</a></p>
<p id="section-4.1.1-2">Each version is incompatible with other versions: decoders SHOULD reject a file due to an unknown version.<a href="#section-4.1.1-2" class="pilcrow">¶</a></p>
<p id="section-4.1.1-3">Decoders SHOULD reject a file with version <= 1 && ConfigurationRecordIsPresent == 1.<a href="#section-4.1.1-3" class="pilcrow">¶</a></p>
<p id="section-4.1.1-4">Decoders SHOULD reject a file with version >= 3 && ConfigurationRecordIsPresent == 0.<a href="#section-4.1.1-4" class="pilcrow">¶</a></p>
<table class="center" id="table-5">
<caption><a href="#table-5" class="selfRef">Table 5</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">version</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">FFV1 version 0</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">FFV1 version 1</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">2</td>
<td class="text-left" rowspan="1" colspan="1">reserved*</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">3</td>
<td class="text-left" rowspan="1" colspan="1">FFV1 version 3</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">Other</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
</tr>
</tbody>
</table>
<p id="section-4.1.1-6">* Version 2 was never enabled in the encoder thus version 2 files SHOULD NOT exist, and this document does not describe them to keep the text simpler.<a href="#section-4.1.1-6" class="pilcrow">¶</a></p>
</section>
</div>
<div id="micro-version">
<section id="section-4.1.2">
<h4 id="name-micro_version">
<a href="#section-4.1.2" class="section-number selfRef">4.1.2. </a><a href="#name-micro_version" class="section-name selfRef">micro_version</a>
</h4>
<p id="section-4.1.2-1"><code>micro_version</code> specifies the micro-version of the FFV1 bitstream.<a href="#section-4.1.2-1" class="pilcrow">¶</a></p>
<p id="section-4.1.2-2">After a version is considered stable (a micro-version value is assigned to be the first stable variant of a specific version), each new micro-version after this first stable variant is compatible with the previous micro-version: decoders SHOULD NOT reject a file due to an unknown micro-version equal or above the micro-version considered as stable.<a href="#section-4.1.2-2" class="pilcrow">¶</a></p>
<p id="section-4.1.2-3">Meaning of micro_version for version 3:<a href="#section-4.1.2-3" class="pilcrow">¶</a></p>
<span id="name-the-definitions-for-micro_v"></span><table class="center" id="table-6">
<caption>
<a href="#table-6" class="selfRef">Table 6</a>:
<a href="#name-the-definitions-for-micro_v" class="selfRef">The definitions for micro_version values.</a>
</caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">micro_version</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0...3</td>
<td class="text-left" rowspan="1" colspan="1">reserved*</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">4</td>
<td class="text-left" rowspan="1" colspan="1">first stable variant</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">Other</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
</tr>
</tbody>
</table>
<p id="section-4.1.2-5">* development versions may be incompatible with the stable variants.<a href="#section-4.1.2-5" class="pilcrow">¶</a></p>
</section>
</div>
<div id="coder-type">
<section id="section-4.1.3">
<h4 id="name-coder_type">
<a href="#section-4.1.3" class="section-number selfRef">4.1.3. </a><a href="#name-coder_type" class="section-name selfRef">coder_type</a>
</h4>
<p id="section-4.1.3-1"><code>coder_type</code> specifies the coder used.<a href="#section-4.1.3-1" class="pilcrow">¶</a></p>
<table class="center" id="table-7">
<caption><a href="#table-7" class="selfRef">Table 7</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">coder used</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">Golomb Rice</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">Range Coder with default state transition table</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">2</td>
<td class="text-left" rowspan="1" colspan="1">Range Coder with custom state transition table</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">Other</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="state-transition-delta">
<section id="section-4.1.4">
<h4 id="name-state_transition_delta">
<a href="#section-4.1.4" class="section-number selfRef">4.1.4. </a><a href="#name-state_transition_delta" class="section-name selfRef">state_transition_delta</a>
</h4>
<p id="section-4.1.4-1"><code>state_transition_delta</code> specifies the Range coder custom state transition table.<a href="#section-4.1.4-1" class="pilcrow">¶</a></p>
<p id="section-4.1.4-2">If state<em>transition</em>delta is not present in the FFV1 bitstream, all Range coder custom state transition table elements are assumed to be 0.<a href="#section-4.1.4-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="colorspace-type">
<section id="section-4.1.5">
<h4 id="name-colorspace_type">
<a href="#section-4.1.5" class="section-number selfRef">4.1.5. </a><a href="#name-colorspace_type" class="section-name selfRef">colorspace_type</a>
</h4>
<p id="section-4.1.5-1"><code>colorspace_type</code> specifies the color space encoded, the pixel transformation used by the encoder, the extra plane content, as well as interleave method.<a href="#section-4.1.5-1" class="pilcrow">¶</a></p>
<table class="center" id="table-8">
<caption><a href="#table-8" class="selfRef">Table 8</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">color space encoded</th>
<th class="text-left" rowspan="1" colspan="1">pixel transformation</th>
<th class="text-left" rowspan="1" colspan="1">extra plane content</th>
<th class="text-left" rowspan="1" colspan="1">interleave method</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">YCbCr</td>
<td class="text-left" rowspan="1" colspan="1">None</td>
<td class="text-left" rowspan="1" colspan="1">Transparency</td>
<td class="text-left" rowspan="1" colspan="1">
<code>Plane</code> then <code>Line</code>
</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">RGB</td>
<td class="text-left" rowspan="1" colspan="1">JPEG2000-RCT</td>
<td class="text-left" rowspan="1" colspan="1">Transparency</td>
<td class="text-left" rowspan="1" colspan="1">
<code>Line</code> then <code>Plane</code>
</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">Other</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
</tr>
</tbody>
</table>
<p id="section-4.1.5-3">Restrictions:<a href="#section-4.1.5-3" class="pilcrow">¶</a></p>
<p id="section-4.1.5-4">If <code>colorspace_type</code> is 1, then <code>chroma_planes</code> MUST be 1, <code>log2_h_chroma_subsample</code> MUST be 0, and <code>log2_v_chroma_subsample</code> MUST be 0.<a href="#section-4.1.5-4" class="pilcrow">¶</a></p>
</section>
</div>
<div id="chroma-planes">
<section id="section-4.1.6">
<h4 id="name-chroma_planes">
<a href="#section-4.1.6" class="section-number selfRef">4.1.6. </a><a href="#name-chroma_planes" class="section-name selfRef">chroma_planes</a>
</h4>
<p id="section-4.1.6-1"><code>chroma_planes</code> indicates if chroma (color) <code>Planes</code> are present.<a href="#section-4.1.6-1" class="pilcrow">¶</a></p>
<table class="center" id="table-9">
<caption><a href="#table-9" class="selfRef">Table 9</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">presence</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">chroma <code>Planes</code> are not present</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">chroma <code>Planes</code> are present</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="bits-per-raw-sample">
<section id="section-4.1.7">
<h4 id="name-bits_per_raw_sample">
<a href="#section-4.1.7" class="section-number selfRef">4.1.7. </a><a href="#name-bits_per_raw_sample" class="section-name selfRef">bits_per_raw_sample</a>
</h4>
<p id="section-4.1.7-1"><code>bits_per_raw_sample</code> indicates the number of bits for each <code>Sample</code>. Inferred to be 8 if not present.<a href="#section-4.1.7-1" class="pilcrow">¶</a></p>
<table class="center" id="table-10">
<caption><a href="#table-10" class="selfRef">Table 10</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">bits for each sample</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">reserved*</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">Other</td>
<td class="text-left" rowspan="1" colspan="1">the actual bits for each <code>Sample</code>
</td>
</tr>
</tbody>
</table>
<p id="section-4.1.7-3">* Encoders MUST NOT store bits<em>per</em>raw<em>sample = 0
Decoders SHOULD accept and interpret bits</em>per<em>raw</em>sample = 0 as 8.<a href="#section-4.1.7-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="log2-h-chroma-subsample">
<section id="section-4.1.8">
<h4 id="name-log2_h_chroma_subsample">
<a href="#section-4.1.8" class="section-number selfRef">4.1.8. </a><a href="#name-log2_h_chroma_subsample" class="section-name selfRef">log2_h_chroma_subsample</a>
</h4>
<p id="section-4.1.8-1"><code>log2_h_chroma_subsample</code> indicates the subsample factor, stored in powers to which the number 2 must be raised, between luma and chroma width (<code>chroma_width = 2^-log2_h_chroma_subsample^ * luma_width</code>).<a href="#section-4.1.8-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="log2-v-chroma-subsample">
<section id="section-4.1.9">
<h4 id="name-log2_v_chroma_subsample">
<a href="#section-4.1.9" class="section-number selfRef">4.1.9. </a><a href="#name-log2_v_chroma_subsample" class="section-name selfRef">log2_v_chroma_subsample</a>
</h4>
<p id="section-4.1.9-1"><code>log2_v_chroma_subsample</code> indicates the subsample factor, stored in powers to which the number 2 must be raised, between luma and chroma height (<code>chroma_height=2^-log2_v_chroma_subsample^ * luma_height</code>).<a href="#section-4.1.9-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="extra-plane">
<section id="section-4.1.10">
<h4 id="name-extra_plane">
<a href="#section-4.1.10" class="section-number selfRef">4.1.10. </a><a href="#name-extra_plane" class="section-name selfRef">extra_plane</a>
</h4>
<p id="section-4.1.10-1"><code>extra_plane</code> indicates if an extra <code>Plane</code> is present.<a href="#section-4.1.10-1" class="pilcrow">¶</a></p>
<table class="center" id="table-11">
<caption><a href="#table-11" class="selfRef">Table 11</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">presence</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">extra <code>Plane</code> is not present</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">extra <code>Plane</code> is present</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="num-h-slices">
<section id="section-4.1.11">
<h4 id="name-num_h_slices">
<a href="#section-4.1.11" class="section-number selfRef">4.1.11. </a><a href="#name-num_h_slices" class="section-name selfRef">num_h_slices</a>
</h4>
<p id="section-4.1.11-1"><code>num_h_slices</code> indicates the number of horizontal elements of the slice raster.<a href="#section-4.1.11-1" class="pilcrow">¶</a></p>
<p id="section-4.1.11-2">Inferred to be 1 if not present.<a href="#section-4.1.11-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="num-v-slices">
<section id="section-4.1.12">
<h4 id="name-num_v_slices">
<a href="#section-4.1.12" class="section-number selfRef">4.1.12. </a><a href="#name-num_v_slices" class="section-name selfRef">num_v_slices</a>
</h4>
<p id="section-4.1.12-1"><code>num_v_slices</code> indicates the number of vertical elements of the slice raster.<a href="#section-4.1.12-1" class="pilcrow">¶</a></p>
<p id="section-4.1.12-2">Inferred to be 1 if not present.<a href="#section-4.1.12-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="quant-table-set-count">
<section id="section-4.1.13">
<h4 id="name-quant_table_set_count">
<a href="#section-4.1.13" class="section-number selfRef">4.1.13. </a><a href="#name-quant_table_set_count" class="section-name selfRef">quant_table_set_count</a>
</h4>
<p id="section-4.1.13-1"><code>quant_table_set_count</code> indicates the number of Quantization Table Sets. <code>quant_table_set_count</code> MUST be less than or equal to 8.<a href="#section-4.1.13-1" class="pilcrow">¶</a></p>
<p id="section-4.1.13-2">Inferred to be 1 if not present.<a href="#section-4.1.13-2" class="pilcrow">¶</a></p>
<p id="section-4.1.13-3">MUST NOT be 0.<a href="#section-4.1.13-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="states-coded">
<section id="section-4.1.14">
<h4 id="name-states_coded">
<a href="#section-4.1.14" class="section-number selfRef">4.1.14. </a><a href="#name-states_coded" class="section-name selfRef">states_coded</a>
</h4>
<p id="section-4.1.14-1"><code>states_coded</code> indicates if the respective Quantization Table Set has the initial states coded.<a href="#section-4.1.14-1" class="pilcrow">¶</a></p>
<p id="section-4.1.14-2">Inferred to be 0 if not present.<a href="#section-4.1.14-2" class="pilcrow">¶</a></p>
<table class="center" id="table-12">
<caption><a href="#table-12" class="selfRef">Table 12</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">initial states</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">initial states are not present and are assumed to be all 128</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">initial states are present</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="initial-state-delta">
<section id="section-4.1.15">
<h4 id="name-initial_state_delta">
<a href="#section-4.1.15" class="section-number selfRef">4.1.15. </a><a href="#name-initial_state_delta" class="section-name selfRef">initial_state_delta</a>
</h4>
<p id="section-4.1.15-1"><code>initial_state_delta[ i ][ j ][ k ]</code> indicates the initial Range coder state, it is encoded using <code>k</code> as context index and<a href="#section-4.1.15-1" class="pilcrow">¶</a></p>
<figure id="figure-20">
<div id="section-4.1.15-2.1">
<div class="artwork art-svg alignLeft" id="section-4.1.15-2.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="207pt" height="13pt" viewBox="0 0 207 13" version="1.1">
<defs>
<g>
<g id="initialstatedelta1.svg-glyph0-0">
<path d=""></path>
</g>
<g id="initialstatedelta1.svg-glyph0-1">
<path d="M 5.71875 -3.390625 C 5.71875 -4.5 5.09375 -5.265625 4.203125 -5.265625 C 3.4375 -5.265625 2.78125 -4.53125 2.65625 -4.359375 C 2.5625 -4.953125 2.09375 -5.265625 1.609375 -5.265625 C 1.265625 -5.265625 0.984375 -5.109375 0.765625 -4.65625 C 0.546875 -4.21875 0.375 -3.484375 0.375 -3.4375 C 0.375 -3.390625 0.4375 -3.328125 0.515625 -3.328125 C 0.609375 -3.328125 0.625 -3.34375 0.6875 -3.625 C 0.875 -4.328125 1.09375 -5.03125 1.578125 -5.03125 C 1.859375 -5.03125 1.953125 -4.84375 1.953125 -4.484375 C 1.953125 -4.203125 1.90625 -4.078125 1.859375 -3.859375 L 0.515625 1.515625 C 0.4375 1.875 0.375 1.96875 -0.109375 1.96875 C -0.25 1.96875 -0.375 1.96875 -0.375 2.203125 C -0.375 2.203125 -0.359375 2.3125 -0.234375 2.3125 C -0.078125 2.3125 0.09375 2.296875 0.25 2.296875 L 0.765625 2.296875 L 1.875 2.3125 C 1.953125 2.3125 2.09375 2.3125 2.09375 2.109375 C 2.09375 1.96875 2.015625 1.96875 1.8125 1.96875 C 1.25 1.96875 1.21875 1.890625 1.21875 1.796875 C 1.21875 1.65625 1.75 -0.40625 1.828125 -0.6875 C 1.953125 -0.34375 2.28125 0.125 2.90625 0.125 C 4.25 0.125 5.71875 -1.640625 5.71875 -3.390625 Z M 4.296875 -1.34375 C 4 -0.6875 3.453125 -0.125 2.90625 -0.125 C 2.09375 -0.125 1.953125 -1.140625 1.953125 -1.1875 C 1.953125 -1.234375 1.984375 -1.328125 2 -1.390625 L 2.578125 -3.734375 C 2.671875 -4.0625 3 -4.40625 3.1875 -4.578125 C 3.328125 -4.703125 3.71875 -5.03125 4.171875 -5.03125 C 4.703125 -5.03125 4.9375 -4.5 4.9375 -3.890625 C 4.9375 -3.3125 4.609375 -1.953125 4.296875 -1.34375 Z M 4.296875 -1.34375 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-2">
<path d="M 5.09375 -4.546875 C 5.09375 -4.9375 4.71875 -5.265625 4.125 -5.265625 C 3.640625 -5.265625 3.09375 -5.0625 2.59375 -4.328125 C 2.515625 -4.953125 2.03125 -5.265625 1.546875 -5.265625 C 1.09375 -5.265625 0.84375 -4.90625 0.703125 -4.65625 C 0.5 -4.21875 0.328125 -3.5 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.8125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.8125 -5.03125 1.890625 -4.828125 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.5625 0.03125 1.640625 -0.203125 C 1.671875 -0.296875 2.109375 -2.109375 2.1875 -2.375 C 2.25 -2.640625 2.3125 -2.890625 2.375 -3.15625 L 2.515625 -3.671875 C 2.546875 -3.78125 2.875 -4.359375 3.171875 -4.625 C 3.3125 -4.75 3.625 -5.03125 4.109375 -5.03125 C 4.296875 -5.03125 4.5 -5 4.65625 -4.890625 C 4.28125 -4.8125 4.09375 -4.546875 4.09375 -4.296875 C 4.09375 -4 4.3125 -3.90625 4.484375 -3.90625 C 4.8125 -3.90625 5.09375 -4.203125 5.09375 -4.546875 Z M 5.09375 -4.546875 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-3">
<path d="M 5 -1.296875 C 5 -1.375 4.921875 -1.4375 4.875 -1.4375 C 4.84375 -1.4375 4.828125 -1.421875 4.71875 -1.3125 C 3.953125 -0.296875 2.828125 -0.125 2.359375 -0.125 C 1.6875 -0.125 1.328125 -0.65625 1.328125 -1.546875 C 1.328125 -1.703125 1.328125 -2.015625 1.5 -2.765625 L 2.140625 -2.765625 C 2.46875 -2.765625 3.28125 -2.796875 3.84375 -3.015625 C 4.75 -3.359375 4.84375 -4.046875 4.84375 -4.265625 C 4.84375 -4.796875 4.390625 -5.265625 3.59375 -5.265625 C 2.34375 -5.265625 0.53125 -4.140625 0.53125 -2.015625 C 0.53125 -0.75 1.25 0.125 2.34375 0.125 C 3.96875 0.125 5 -1.140625 5 -1.296875 Z M 4.484375 -4.265625 C 4.484375 -3.015625 2.5625 -3.015625 2.0625 -3.015625 L 1.5625 -3.015625 C 2.078125 -4.859375 3.21875 -5.03125 3.59375 -5.03125 C 4.125 -5.03125 4.484375 -4.71875 4.484375 -4.265625 Z M 4.484375 -4.265625 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-4">
<path d="M 5.796875 -1.703125 C 5.796875 -1.765625 5.75 -1.8125 5.671875 -1.8125 C 5.5625 -1.8125 5.5625 -1.75 5.515625 -1.578125 C 5.328125 -0.875 5.109375 -0.125 4.609375 -0.125 C 4.265625 -0.125 4.25 -0.4375 4.25 -0.671875 C 4.25 -0.71875 4.25 -0.96875 4.328125 -1.296875 L 6.015625 -8 C 6.03125 -8.046875 6.046875 -8.109375 6.046875 -8.171875 C 6.046875 -8.296875 5.90625 -8.296875 5.90625 -8.296875 C 5.90625 -8.296875 5.3125 -8.25 5.25 -8.234375 C 5.046875 -8.21875 4.859375 -8.203125 4.65625 -8.1875 C 4.34375 -8.15625 4.265625 -8.15625 4.265625 -7.9375 C 4.265625 -7.8125 4.359375 -7.8125 4.53125 -7.8125 C 5.109375 -7.8125 5.125 -7.703125 5.125 -7.59375 C 5.125 -7.515625 5.109375 -7.421875 5.09375 -7.390625 L 4.359375 -4.484375 C 4.234375 -4.796875 3.90625 -5.265625 3.28125 -5.265625 C 1.9375 -5.265625 0.484375 -3.53125 0.484375 -1.75 C 0.484375 -0.578125 1.171875 0.125 1.984375 0.125 C 2.640625 0.125 3.203125 -0.390625 3.53125 -0.78125 C 3.65625 -0.078125 4.21875 0.125 4.578125 0.125 C 4.9375 0.125 5.21875 -0.09375 5.4375 -0.53125 C 5.625 -0.9375 5.796875 -1.65625 5.796875 -1.703125 Z M 3.59375 -1.421875 C 3.53125 -1.21875 3.53125 -1.1875 3.375 -0.96875 C 3.109375 -0.640625 2.578125 -0.125 2.015625 -0.125 C 1.53125 -0.125 1.25 -0.5625 1.25 -1.265625 C 1.25 -1.921875 1.625 -3.265625 1.859375 -3.765625 C 2.265625 -4.609375 2.828125 -5.03125 3.28125 -5.03125 C 4.078125 -5.03125 4.234375 -4.046875 4.234375 -3.953125 C 4.234375 -3.953125 4.203125 -3.796875 4.1875 -3.765625 Z M 3.59375 -1.421875 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-5">
<path d="M 4.1875 -3.796875 C 4.234375 -3.984375 4.234375 -4.140625 4.234375 -4.203125 C 4.234375 -4.890625 3.71875 -5.265625 3.171875 -5.265625 C 1.96875 -5.265625 1.328125 -3.53125 1.328125 -3.4375 C 1.328125 -3.375 1.375 -3.328125 1.453125 -3.328125 C 1.546875 -3.328125 1.546875 -3.375 1.609375 -3.5 C 2.09375 -4.65625 2.6875 -5.03125 3.140625 -5.03125 C 3.390625 -5.03125 3.53125 -4.90625 3.53125 -4.484375 C 3.53125 -4.203125 3.484375 -4.078125 3.4375 -3.859375 L 2.3125 0.640625 C 2.078125 1.53125 1.515625 2.203125 0.859375 2.203125 C 0.8125 2.203125 0.5625 2.203125 0.328125 2.078125 C 0.625 2.015625 0.84375 1.796875 0.84375 1.5 C 0.84375 1.3125 0.703125 1.125 0.4375 1.125 C 0.125 1.125 -0.15625 1.390625 -0.15625 1.75 C -0.15625 2.234375 0.375 2.4375 0.859375 2.4375 C 1.6875 2.4375 2.765625 1.828125 3.078125 0.640625 Z M 4.671875 -7.453125 C 4.671875 -7.75 4.421875 -7.859375 4.28125 -7.859375 C 3.953125 -7.859375 3.6875 -7.546875 3.6875 -7.28125 C 3.6875 -7.09375 3.828125 -6.890625 4.09375 -6.890625 C 4.359375 -6.890625 4.671875 -7.140625 4.671875 -7.453125 Z M 4.671875 -7.453125 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-6">
<path d="M 3.375 -1.703125 C 3.375 -1.765625 3.328125 -1.8125 3.265625 -1.8125 C 3.15625 -1.8125 3.140625 -1.78125 3.078125 -1.578125 C 2.765625 -0.484375 2.28125 -0.125 1.890625 -0.125 C 1.75 -0.125 1.578125 -0.15625 1.578125 -0.515625 C 1.578125 -0.84375 1.71875 -1.1875 1.859375 -1.546875 L 2.6875 -3.78125 C 2.71875 -3.875 2.8125 -4.09375 2.8125 -4.3125 C 2.8125 -4.8125 2.453125 -5.265625 1.859375 -5.265625 C 0.765625 -5.265625 0.328125 -3.53125 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.5625 -3.328125 0.578125 -3.375 0.625 -3.546875 C 0.90625 -4.546875 1.359375 -5.03125 1.828125 -5.03125 C 1.9375 -5.03125 2.140625 -5.015625 2.140625 -4.640625 C 2.140625 -4.328125 1.984375 -3.9375 1.890625 -3.671875 C 1.453125 -2.5625 1.453125 -2.53125 1.046875 -1.453125 C 0.984375 -1.25 0.90625 -1.0625 0.90625 -0.84375 C 0.90625 -0.3125 1.28125 0.125 1.859375 0.125 C 2.953125 0.125 3.375 -1.625 3.375 -1.703125 Z M 3.28125 -7.453125 C 3.28125 -7.640625 3.140625 -7.859375 2.875 -7.859375 C 2.609375 -7.859375 2.296875 -7.59375 2.296875 -7.28125 C 2.296875 -6.984375 2.546875 -6.890625 2.6875 -6.890625 C 3.015625 -6.890625 3.28125 -7.203125 3.28125 -7.453125 Z M 3.28125 -7.453125 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-7">
<path d="M 6.640625 -1.703125 C 6.640625 -1.765625 6.59375 -1.8125 6.515625 -1.8125 C 6.40625 -1.8125 6.390625 -1.78125 6.328125 -1.578125 C 6.0625 -0.59375 5.609375 -0.125 5.140625 -0.125 C 5.015625 -0.125 4.828125 -0.125 4.828125 -0.515625 C 4.828125 -0.8125 4.953125 -1.171875 5.03125 -1.34375 C 5.265625 -2 5.765625 -3.328125 5.765625 -4.015625 C 5.765625 -4.734375 5.359375 -5.265625 4.453125 -5.265625 C 3.375 -5.265625 2.828125 -4.515625 2.609375 -4.21875 C 2.5625 -4.90625 2.078125 -5.265625 1.546875 -5.265625 C 1.171875 -5.265625 0.90625 -5.046875 0.703125 -4.640625 C 0.484375 -4.203125 0.328125 -3.484375 0.328125 -3.4375 C 0.328125 -3.390625 0.375 -3.328125 0.453125 -3.328125 C 0.546875 -3.328125 0.5625 -3.34375 0.640625 -3.625 C 0.828125 -4.34375 1.046875 -5.03125 1.515625 -5.03125 C 1.796875 -5.03125 1.890625 -4.84375 1.890625 -4.484375 C 1.890625 -4.21875 1.765625 -3.75 1.6875 -3.375 L 1.34375 -2.09375 L 1.109375 -1.109375 C 1.03125 -0.796875 0.890625 -0.234375 0.890625 -0.171875 C 0.890625 -0.015625 1.03125 0.125 1.203125 0.125 C 1.34375 0.125 1.515625 0.046875 1.609375 -0.125 C 1.640625 -0.1875 1.75 -0.609375 1.8125 -0.84375 L 2.0625 -1.921875 L 2.46875 -3.5 C 2.484375 -3.578125 2.78125 -4.171875 3.234375 -4.546875 C 3.53125 -4.84375 3.9375 -5.03125 4.40625 -5.03125 C 4.890625 -5.03125 5.0625 -4.671875 5.0625 -4.203125 C 5.0625 -3.515625 4.5625 -2.15625 4.328125 -1.5 C 4.21875 -1.21875 4.15625 -1.0625 4.15625 -0.84375 C 4.15625 -0.3125 4.53125 0.125 5.109375 0.125 C 6.21875 0.125 6.640625 -1.640625 6.640625 -1.703125 Z M 6.640625 -1.703125 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-8">
<path d="M 3.640625 -1.703125 C 3.640625 -1.78125 3.578125 -1.8125 3.515625 -1.8125 C 3.515625 -1.8125 3.4375 -1.8125 3.421875 -1.765625 C 3.421875 -1.765625 3.390625 -1.75 3.3125 -1.546875 C 3.0625 -0.953125 2.515625 -0.125 1.8125 -0.125 C 1.453125 -0.125 1.4375 -0.421875 1.4375 -0.6875 C 1.4375 -0.6875 1.4375 -0.921875 1.46875 -1.0625 L 2.40625 -4.8125 L 3.5 -4.8125 C 3.734375 -4.8125 3.84375 -4.8125 3.84375 -5.015625 C 3.84375 -5.15625 3.78125 -5.15625 3.53125 -5.15625 L 2.484375 -5.15625 L 2.921875 -6.890625 C 2.96875 -7.0625 2.96875 -7.09375 2.96875 -7.171875 C 2.96875 -7.359375 2.828125 -7.46875 2.671875 -7.46875 C 2.5625 -7.46875 2.296875 -7.4375 2.203125 -7.046875 L 1.734375 -5.15625 L 0.609375 -5.15625 C 0.375 -5.15625 0.265625 -5.15625 0.265625 -4.921875 C 0.265625 -4.8125 0.34375 -4.8125 0.578125 -4.8125 L 1.640625 -4.8125 L 0.84375 -1.65625 C 0.75 -1.234375 0.71875 -1.109375 0.71875 -0.953125 C 0.71875 -0.390625 1.109375 0.125 1.78125 0.125 C 2.984375 0.125 3.640625 -1.625 3.640625 -1.703125 Z M 3.640625 -1.703125 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-9">
<path d="M 3.59375 -1.421875 C 3.53125 -1.21875 3.53125 -1.1875 3.375 -0.96875 C 3.109375 -0.640625 2.578125 -0.125 2.015625 -0.125 C 1.53125 -0.125 1.25 -0.5625 1.25 -1.265625 C 1.25 -1.921875 1.625 -3.265625 1.859375 -3.765625 C 2.265625 -4.609375 2.828125 -5.03125 3.28125 -5.03125 C 4.078125 -5.03125 4.234375 -4.046875 4.234375 -3.953125 C 4.234375 -3.953125 4.203125 -3.796875 4.1875 -3.765625 Z M 5.796875 -1.703125 C 5.796875 -1.765625 5.75 -1.8125 5.671875 -1.8125 C 5.5625 -1.8125 5.5625 -1.75 5.515625 -1.578125 C 5.328125 -0.875 5.109375 -0.125 4.609375 -0.125 C 4.265625 -0.125 4.25 -0.4375 4.25 -0.671875 C 4.25 -0.9375 4.28125 -1.078125 4.390625 -1.546875 L 4.625 -2.453125 C 5.0625 -4.25 5.171875 -4.671875 5.171875 -4.75 C 5.171875 -4.90625 5.046875 -5.046875 4.859375 -5.046875 C 4.484375 -5.046875 4.390625 -4.625 4.359375 -4.484375 C 4.234375 -4.796875 3.90625 -5.265625 3.28125 -5.265625 C 1.9375 -5.265625 0.484375 -3.53125 0.484375 -1.75 C 0.484375 -0.578125 1.171875 0.125 1.984375 0.125 C 2.640625 0.125 3.203125 -0.390625 3.53125 -0.78125 C 3.65625 -0.078125 4.21875 0.125 4.578125 0.125 C 4.9375 0.125 5.21875 -0.09375 5.4375 -0.53125 C 5.625 -0.9375 5.796875 -1.65625 5.796875 -1.703125 Z M 5.796875 -1.703125 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-10">
<path d="M 2.828125 -1.703125 C 2.828125 -1.765625 2.765625 -1.8125 2.703125 -1.8125 C 2.59375 -1.8125 2.578125 -1.75 2.53125 -1.578125 C 2.3125 -0.75 2.109375 -0.125 1.625 -0.125 C 1.265625 -0.125 1.265625 -0.5 1.265625 -0.671875 C 1.265625 -0.71875 1.265625 -0.96875 1.34375 -1.296875 L 3.03125 -8 C 3.046875 -8.046875 3.078125 -8.109375 3.078125 -8.171875 C 3.078125 -8.296875 2.921875 -8.296875 2.921875 -8.296875 L 2.265625 -8.234375 C 2.0625 -8.21875 1.890625 -8.203125 1.671875 -8.1875 C 1.390625 -8.15625 1.296875 -8.15625 1.296875 -7.9375 C 1.296875 -7.8125 1.421875 -7.8125 1.546875 -7.8125 C 2.15625 -7.8125 2.15625 -7.703125 2.15625 -7.59375 C 2.15625 -7.546875 2.15625 -7.515625 2.09375 -7.296875 L 0.609375 -1.375 C 0.578125 -1.25 0.546875 -1.140625 0.546875 -0.953125 C 0.546875 -0.359375 0.984375 0.125 1.609375 0.125 C 2 0.125 2.265625 -0.140625 2.453125 -0.515625 C 2.65625 -0.90625 2.828125 -1.65625 2.828125 -1.703125 Z M 2.828125 -1.703125 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-11">
<path d="M 4.640625 -1.84375 C 4.640625 -2.015625 4.640625 -2.359375 4.25 -2.734375 C 3.953125 -3.03125 3.671875 -3.078125 3.03125 -3.21875 C 2.703125 -3.28125 2.1875 -3.390625 2.1875 -3.9375 C 2.1875 -4.171875 2.40625 -5.03125 3.53125 -5.03125 C 4.046875 -5.03125 4.53125 -4.84375 4.65625 -4.40625 C 4.125 -4.40625 4.09375 -3.9375 4.09375 -3.9375 C 4.09375 -3.6875 4.328125 -3.625 4.4375 -3.625 C 4.609375 -3.625 4.9375 -3.75 4.9375 -4.25 C 4.9375 -4.75 4.484375 -5.265625 3.546875 -5.265625 C 1.984375 -5.265625 1.5625 -4.046875 1.5625 -3.546875 C 1.5625 -2.640625 2.453125 -2.453125 2.71875 -2.390625 C 2.921875 -2.359375 3.25 -2.28125 3.328125 -2.265625 C 3.484375 -2.21875 4.015625 -2.03125 4.015625 -1.453125 C 4.015625 -1.09375 3.6875 -0.125 2.296875 -0.125 C 2.046875 -0.125 1.140625 -0.15625 0.90625 -0.8125 C 1.390625 -0.75 1.625 -1.125 1.625 -1.390625 C 1.625 -1.640625 1.453125 -1.765625 1.21875 -1.765625 C 0.953125 -1.765625 0.609375 -1.5625 0.609375 -1.03125 C 0.609375 -0.328125 1.328125 0.125 2.28125 0.125 C 4.09375 0.125 4.640625 -1.21875 4.640625 -1.84375 Z M 4.640625 -1.84375 "></path>
</g>
<g id="initialstatedelta1.svg-glyph0-12">
<path d="M 5.734375 -1.703125 C 5.734375 -1.765625 5.6875 -1.8125 5.625 -1.8125 C 5.515625 -1.8125 5.5 -1.765625 5.453125 -1.578125 C 5.28125 -0.953125 5.03125 -0.125 4.421875 -0.125 C 4.1875 -0.125 4.03125 -0.234375 4.03125 -0.6875 C 4.03125 -0.921875 4.078125 -1.1875 4.125 -1.359375 C 4.171875 -1.578125 4.171875 -1.59375 4.171875 -1.734375 C 4.171875 -2.4375 3.53125 -2.828125 2.4375 -2.96875 C 2.875 -3.234375 3.296875 -3.703125 3.46875 -3.890625 C 4.140625 -4.65625 4.609375 -5.03125 5.15625 -5.03125 C 5.4375 -5.03125 5.515625 -4.953125 5.59375 -4.890625 C 5.15625 -4.84375 4.984375 -4.53125 4.984375 -4.296875 C 4.984375 -4 5.21875 -3.90625 5.375 -3.90625 C 5.703125 -3.90625 5.984375 -4.1875 5.984375 -4.5625 C 5.984375 -4.90625 5.71875 -5.265625 5.171875 -5.265625 C 4.515625 -5.265625 3.984375 -4.8125 3.125 -3.84375 C 3.015625 -3.703125 2.5625 -3.25 2.125 -3.078125 L 3.359375 -8 C 3.375 -8.046875 3.390625 -8.109375 3.390625 -8.171875 C 3.390625 -8.296875 3.25 -8.296875 3.25 -8.296875 L 2.59375 -8.234375 C 2.390625 -8.21875 2.21875 -8.203125 2 -8.1875 C 1.703125 -8.15625 1.625 -8.15625 1.625 -7.9375 C 1.625 -7.8125 1.75 -7.8125 1.859375 -7.8125 C 2.46875 -7.8125 2.46875 -7.703125 2.46875 -7.59375 C 2.46875 -7.546875 2.46875 -7.515625 2.421875 -7.296875 L 0.703125 -0.46875 C 0.65625 -0.28125 0.65625 -0.265625 0.65625 -0.1875 C 0.65625 0.078125 0.859375 0.125 0.984375 0.125 C 1.3125 0.125 1.390625 -0.140625 1.484375 -0.515625 C 1.59375 -0.953125 1.546875 -0.78125 2.046875 -2.75 C 2.90625 -2.65625 3.421875 -2.296875 3.421875 -1.71875 C 3.421875 -1.65625 3.421875 -1.609375 3.375 -1.421875 C 3.328125 -1.25 3.328125 -1.09375 3.328125 -1.046875 C 3.328125 -0.34375 3.796875 0.125 4.40625 0.125 C 4.953125 0.125 5.234375 -0.375 5.328125 -0.546875 C 5.578125 -0.984375 5.734375 -1.65625 5.734375 -1.703125 Z M 5.734375 -1.703125 "></path>
</g>
<g id="initialstatedelta1.svg-glyph1-0">
<path d=""></path>
</g>
<g id="initialstatedelta1.svg-glyph1-1">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="initialstatedelta1.svg-glyph1-2">
<path d="M 4.859375 -6.796875 C 4.859375 -7.515625 4.359375 -8.421875 2.640625 -8.421875 C 1.34375 -8.421875 0.640625 -7.578125 0.640625 -6.8125 C 0.640625 -6.390625 0.96875 -6.28125 1.140625 -6.28125 C 1.34375 -6.28125 1.640625 -6.4375 1.640625 -6.796875 C 1.640625 -7.0625 1.4375 -7.28125 1.140625 -7.28125 C 1.0625 -7.28125 1.046875 -7.28125 1.015625 -7.265625 C 1.28125 -7.890625 1.96875 -8.171875 2.609375 -8.171875 C 3.953125 -8.171875 3.953125 -7.296875 3.953125 -6.84375 C 3.953125 -6.140625 3.734375 -5.921875 3.53125 -5.703125 C 2.71875 -4.828125 2.46875 -3.71875 2.46875 -2.984375 L 2.46875 -2.421875 C 2.46875 -2.203125 2.46875 -2.15625 2.59375 -2.15625 C 2.71875 -2.15625 2.71875 -2.234375 2.71875 -2.453125 L 2.71875 -2.890625 C 2.71875 -3.59375 3.015625 -4.65625 4.21875 -5.546875 C 4.546875 -5.796875 4.859375 -6.171875 4.859375 -6.796875 Z M 3.171875 -0.578125 C 3.171875 -0.890625 2.90625 -1.15625 2.59375 -1.15625 C 2.234375 -1.15625 2.015625 -0.875 2.015625 -0.578125 C 2.015625 -0.234375 2.296875 0 2.578125 0 C 2.921875 0 3.171875 -0.265625 3.171875 -0.578125 Z M 3.171875 -0.578125 "></path>
</g>
<g id="initialstatedelta1.svg-glyph1-3">
<path d="M 8.78125 1.625 L 8.78125 1.359375 L 0 1.359375 L 0 1.625 Z M 8.78125 1.625 "></path>
</g>
<g id="initialstatedelta1.svg-glyph1-4">
<path d="M 2.984375 2.984375 L 2.984375 2.546875 L 1.828125 2.546875 L 1.828125 -8.515625 L 2.984375 -8.515625 L 2.984375 -8.96875 L 1.390625 -8.96875 L 1.390625 2.984375 Z M 2.984375 2.984375 "></path>
</g>
<g id="initialstatedelta1.svg-glyph1-5">
<path d="M 1.859375 2.984375 L 1.859375 -8.96875 L 0.25 -8.96875 L 0.25 -8.515625 L 1.40625 -8.515625 L 1.40625 2.546875 L 0.25 2.546875 L 0.25 2.984375 Z M 1.859375 2.984375 "></path>
</g>
<g id="initialstatedelta1.svg-glyph1-6">
<path d="M 4.90625 0 L 4.90625 -0.34375 L 4.53125 -0.34375 C 3.484375 -0.34375 3.4375 -0.484375 3.4375 -0.921875 L 3.4375 -7.65625 C 3.4375 -7.9375 3.4375 -7.953125 3.203125 -7.953125 C 2.921875 -7.625 2.3125 -7.1875 1.09375 -7.1875 L 1.09375 -6.84375 C 1.359375 -6.84375 1.953125 -6.84375 2.625 -7.140625 L 2.625 -0.921875 C 2.625 -0.484375 2.578125 -0.34375 1.53125 -0.34375 L 1.15625 -0.34375 L 1.15625 0 C 1.484375 -0.03125 2.640625 -0.03125 3.03125 -0.03125 C 3.4375 -0.03125 4.578125 -0.03125 4.90625 0 Z M 4.90625 0 "></path>
</g>
<g id="initialstatedelta1.svg-glyph1-7">
<path d="M 2.203125 -4.578125 C 2.203125 -4.90625 1.921875 -5.15625 1.625 -5.15625 C 1.28125 -5.15625 1.046875 -4.875 1.046875 -4.578125 C 1.046875 -4.21875 1.34375 -4 1.609375 -4 C 1.9375 -4 2.203125 -4.25 2.203125 -4.578125 Z M 2.203125 -0.578125 C 2.203125 -0.90625 1.921875 -1.15625 1.625 -1.15625 C 1.28125 -1.15625 1.046875 -0.890625 1.046875 -0.578125 C 1.046875 -0.234375 1.34375 0 1.609375 0 C 1.9375 0 2.203125 -0.25 2.203125 -0.578125 Z M 2.203125 -0.578125 "></path>
</g>
<g id="initialstatedelta1.svg-glyph1-8">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="initialstatedelta1.svg-glyph1-9">
<path d="M 5.359375 -1.984375 C 5.359375 -3.203125 4.5 -3.734375 3.5625 -4.3125 C 4.15625 -4.640625 5.03125 -5.1875 5.03125 -6.1875 C 5.03125 -7.234375 4.03125 -7.953125 2.921875 -7.953125 C 1.75 -7.953125 0.8125 -7.078125 0.8125 -5.984375 C 0.8125 -5.578125 0.9375 -5.171875 1.265625 -4.765625 C 1.40625 -4.609375 1.40625 -4.609375 2.25 -4.015625 C 1.09375 -3.484375 0.484375 -2.671875 0.484375 -1.8125 C 0.484375 -0.53125 1.703125 0.25 2.921875 0.25 C 4.25 0.25 5.359375 -0.734375 5.359375 -1.984375 Z M 4.546875 -6.1875 C 4.546875 -5.453125 4.015625 -4.859375 3.328125 -4.484375 L 1.9375 -5.390625 C 1.78125 -5.5 1.296875 -5.8125 1.296875 -6.390625 C 1.296875 -7.171875 2.109375 -7.65625 2.921875 -7.65625 C 3.78125 -7.65625 4.546875 -7.046875 4.546875 -6.1875 Z M 4.8125 -1.609375 C 4.8125 -0.6875 3.890625 -0.078125 2.921875 -0.078125 C 1.90625 -0.078125 1.046875 -0.8125 1.046875 -1.8125 C 1.046875 -2.734375 1.71875 -3.484375 2.5 -3.84375 L 3.9375 -2.90625 C 4.25 -2.703125 4.8125 -2.328125 4.8125 -1.609375 Z M 4.8125 -1.609375 "></path>
</g>
<g id="initialstatedelta1.svg-glyph2-0">
<path d=""></path>
</g>
<g id="initialstatedelta1.svg-glyph2-1">
<path d="M 8.296875 -2.984375 C 8.296875 -3.234375 8.0625 -3.234375 7.90625 -3.234375 L 1.390625 -3.234375 C 1.21875 -3.234375 0.984375 -3.234375 0.984375 -2.984375 C 0.984375 -2.75 1.21875 -2.75 1.390625 -2.75 L 7.90625 -2.75 C 8.0625 -2.75 8.296875 -2.75 8.296875 -2.984375 Z M 8.296875 -2.984375 "></path>
</g>
</g>
</defs>
<g id="initialstatedelta1.svg-surface1">
<g>
<use xlink:href="#initialstatedelta1.svg-glyph0-1" x="0.963" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-2" x="6.837785" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph0-3" x="12.436405" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-4" x="17.861675" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph1-1" x="27.268" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph0-5" x="39.694" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph1-2" x="45.209" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph0-6" x="50.737" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-7" x="54.730037" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-6" x="61.717851" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-8" x="65.710888" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-6" x="69.938247" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-9" x="73.931284" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-10" x="80.076256" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph1-3" x="83.827" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph0-11" x="92.602" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-8" x="98.115738" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-9" x="102.343097" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-8" x="108.48807" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-3" x="112.715428" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph0-11" x="118.140698" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph1-4" x="123.654" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph0-6" x="126.975" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph1-5" x="130.969" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph1-4" x="134.220814" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph0-5" x="137.541" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph2-1" x="145.714" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph1-6" x="157.669" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph1-5" x="163.522266" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph1-4" x="166.77408" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph0-12" x="170.094" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph1-5" x="176.584" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph1-7" x="183.15936" y="9.199"></use>
</g>
<g>
<use xlink:href="#initialstatedelta1.svg-glyph1-6" x="189.73472" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph1-8" x="195.587986" y="9.199"></use>
<use xlink:href="#initialstatedelta1.svg-glyph1-9" x="201.441252" y="9.199"></use>
</g>
</g>
</svg><a href="#section-4.1.15-2.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-20" class="selfRef">Figure 20</a></figcaption></figure>
<figure id="figure-21">
<div id="section-4.1.15-3.1">
<div class="artwork art-svg alignLeft" id="section-4.1.15-3.1.1">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="381pt" height="13pt" viewBox="0 0 381 13" version="1.1">
<defs>
<g>
<g id="initialstatedelta2.svg-glyph0-0">
<path d=""></path>
</g>
<g id="initialstatedelta2.svg-glyph0-1">
<path d="M 2.875 0 L 2.875 -0.34375 C 2.109375 -0.34375 2.0625 -0.40625 2.0625 -0.875 L 2.0625 -5.265625 L 0.4375 -5.140625 L 0.4375 -4.796875 C 1.1875 -4.796875 1.296875 -4.71875 1.296875 -4.140625 L 1.296875 -0.890625 C 1.296875 -0.34375 1.171875 -0.34375 0.390625 -0.34375 L 0.390625 0 C 0.734375 -0.03125 1.296875 -0.03125 1.65625 -0.03125 C 1.78125 -0.03125 2.46875 -0.03125 2.875 0 Z M 2.21875 -7.21875 C 2.21875 -7.578125 1.921875 -7.8125 1.640625 -7.8125 C 1.296875 -7.8125 1.046875 -7.546875 1.046875 -7.21875 C 1.046875 -6.90625 1.3125 -6.640625 1.625 -6.640625 C 1.984375 -6.640625 2.21875 -6.9375 2.21875 -7.21875 Z M 2.21875 -7.21875 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-2">
<path d="M 6.234375 0 L 6.234375 -0.34375 C 5.625 -0.34375 5.328125 -0.34375 5.3125 -0.703125 L 5.3125 -2.90625 C 5.3125 -4.015625 5.3125 -4.34375 5.046875 -4.734375 C 4.703125 -5.203125 4.140625 -5.265625 3.734375 -5.265625 C 2.5625 -5.265625 2.109375 -4.28125 2.015625 -4.046875 L 2.015625 -5.265625 L 0.375 -5.140625 L 0.375 -4.796875 C 1.1875 -4.796875 1.296875 -4.703125 1.296875 -4.125 L 1.296875 -0.890625 C 1.296875 -0.34375 1.15625 -0.34375 0.375 -0.34375 L 0.375 0 C 0.6875 -0.03125 1.34375 -0.03125 1.671875 -0.03125 C 2.015625 -0.03125 2.671875 -0.03125 2.96875 0 L 2.96875 -0.34375 C 2.21875 -0.34375 2.0625 -0.34375 2.0625 -0.890625 L 2.0625 -3.109375 C 2.0625 -4.359375 2.890625 -5.03125 3.640625 -5.03125 C 4.375 -5.03125 4.546875 -4.421875 4.546875 -3.6875 L 4.546875 -0.890625 C 4.546875 -0.34375 4.40625 -0.34375 3.640625 -0.34375 L 3.640625 0 C 3.9375 -0.03125 4.59375 -0.03125 4.921875 -0.03125 C 5.265625 -0.03125 5.921875 -0.03125 6.234375 0 Z M 6.234375 0 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-3">
<path d="M 3.890625 -1.484375 L 3.890625 -2.15625 L 3.640625 -2.15625 L 3.640625 -1.5 C 3.640625 -0.640625 3.28125 -0.140625 2.828125 -0.140625 C 2.015625 -0.140625 2.015625 -1.25 2.015625 -1.453125 L 2.015625 -4.8125 L 3.6875 -4.8125 L 3.6875 -5.15625 L 2.015625 -5.15625 L 2.015625 -7.34375 L 1.75 -7.34375 C 1.734375 -6.234375 1.296875 -5.078125 0.21875 -5.046875 L 0.21875 -4.8125 L 1.234375 -4.8125 L 1.234375 -1.484375 C 1.234375 -0.15625 2.109375 0.125 2.75 0.125 C 3.5 0.125 3.890625 -0.625 3.890625 -1.484375 Z M 3.890625 -1.484375 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-4">
<path d="M 5.671875 -1.0625 L 5.671875 -1.734375 L 5.40625 -1.734375 L 5.40625 -1.0625 C 5.40625 -0.375 5.109375 -0.28125 4.953125 -0.28125 C 4.5 -0.28125 4.5 -0.921875 4.5 -1.09375 L 4.5 -3.1875 C 4.5 -3.84375 4.5 -4.3125 3.96875 -4.78125 C 3.546875 -5.15625 3.015625 -5.328125 2.484375 -5.328125 C 1.5 -5.328125 0.75 -4.6875 0.75 -3.90625 C 0.75 -3.5625 0.984375 -3.390625 1.25 -3.390625 C 1.546875 -3.390625 1.75 -3.59375 1.75 -3.890625 C 1.75 -4.375 1.3125 -4.375 1.140625 -4.375 C 1.40625 -4.875 1.984375 -5.09375 2.46875 -5.09375 C 3.015625 -5.09375 3.71875 -4.640625 3.71875 -3.5625 L 3.71875 -3.078125 C 1.3125 -3.046875 0.40625 -2.046875 0.40625 -1.125 C 0.40625 -0.171875 1.5 0.125 2.234375 0.125 C 3.03125 0.125 3.5625 -0.359375 3.796875 -0.9375 C 3.84375 -0.375 4.203125 0.0625 4.71875 0.0625 C 4.96875 0.0625 5.671875 -0.109375 5.671875 -1.0625 Z M 3.71875 -1.6875 C 3.71875 -0.515625 2.84375 -0.125 2.328125 -0.125 C 1.75 -0.125 1.25 -0.546875 1.25 -1.125 C 1.25 -2.703125 3.28125 -2.84375 3.71875 -2.875 Z M 3.71875 -1.6875 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-5">
<path d="M 2.96875 0 L 2.96875 -0.34375 C 2.203125 -0.34375 2.0625 -0.34375 2.0625 -0.890625 L 2.0625 -8.296875 L 0.390625 -8.15625 L 0.390625 -7.8125 C 1.203125 -7.8125 1.296875 -7.734375 1.296875 -7.140625 L 1.296875 -0.890625 C 1.296875 -0.34375 1.171875 -0.34375 0.390625 -0.34375 L 0.390625 0 C 0.734375 -0.03125 1.3125 -0.03125 1.671875 -0.03125 C 2.03125 -0.03125 2.625 -0.03125 2.96875 0 Z M 2.96875 0 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-6">
<path d="M 8.78125 1.625 L 8.78125 1.359375 L 0 1.359375 L 0 1.625 Z M 8.78125 1.625 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-7">
<path d="M 4.203125 -1.515625 C 4.203125 -2.15625 3.8125 -2.546875 3.703125 -2.65625 C 3.28125 -3.03125 2.953125 -3.09375 2.15625 -3.234375 C 1.8125 -3.3125 0.9375 -3.484375 0.9375 -4.203125 C 0.9375 -4.5625 1.1875 -5.109375 2.265625 -5.109375 C 3.5625 -5.109375 3.640625 -4 3.65625 -3.640625 C 3.671875 -3.53125 3.75 -3.53125 3.796875 -3.53125 C 3.921875 -3.53125 3.921875 -3.59375 3.921875 -3.8125 L 3.921875 -5.0625 C 3.921875 -5.265625 3.921875 -5.328125 3.796875 -5.328125 C 3.703125 -5.328125 3.484375 -5.0625 3.390625 -4.953125 C 3.03125 -5.265625 2.65625 -5.328125 2.265625 -5.328125 C 0.828125 -5.328125 0.390625 -4.546875 0.390625 -3.890625 C 0.390625 -3.75 0.390625 -3.328125 0.84375 -2.921875 C 1.234375 -2.578125 1.640625 -2.5 2.1875 -2.390625 C 2.84375 -2.265625 3 -2.21875 3.296875 -1.984375 C 3.515625 -1.8125 3.671875 -1.546875 3.671875 -1.203125 C 3.671875 -0.6875 3.375 -0.125 2.3125 -0.125 C 1.53125 -0.125 0.953125 -0.578125 0.6875 -1.765625 C 0.640625 -1.984375 0.640625 -2.015625 0.640625 -2.015625 C 0.609375 -2.0625 0.5625 -2.0625 0.53125 -2.0625 C 0.390625 -2.0625 0.390625 -2 0.390625 -1.78125 L 0.390625 -0.15625 C 0.390625 0.0625 0.390625 0.125 0.515625 0.125 C 0.578125 0.125 0.578125 0.109375 0.78125 -0.140625 C 0.84375 -0.234375 0.84375 -0.25 1.03125 -0.4375 C 1.484375 0.125 2.125 0.125 2.328125 0.125 C 3.578125 0.125 4.203125 -0.578125 4.203125 -1.515625 Z M 4.203125 -1.515625 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-8">
<path d="M 4.859375 -1.421875 C 4.859375 -1.5 4.8125 -1.546875 4.734375 -1.546875 C 4.640625 -1.546875 4.609375 -1.484375 4.59375 -1.421875 C 4.28125 -0.421875 3.484375 -0.140625 2.96875 -0.140625 C 2.46875 -0.140625 1.265625 -0.484375 1.265625 -2.546875 L 1.265625 -2.765625 L 4.578125 -2.765625 C 4.84375 -2.765625 4.859375 -2.765625 4.859375 -3 C 4.859375 -4.203125 4.21875 -5.328125 2.765625 -5.328125 C 1.40625 -5.328125 0.359375 -4.09375 0.359375 -2.625 C 0.359375 -1.046875 1.578125 0.125 2.90625 0.125 C 4.328125 0.125 4.859375 -1.171875 4.859375 -1.421875 Z M 4.125 -3 L 1.28125 -3 C 1.375 -4.875 2.421875 -5.09375 2.765625 -5.09375 C 4.046875 -5.09375 4.109375 -3.40625 4.125 -3 Z M 4.125 -3 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-9">
<path d="M 2.984375 2.984375 L 2.984375 2.546875 L 1.828125 2.546875 L 1.828125 -8.515625 L 2.984375 -8.515625 L 2.984375 -8.96875 L 1.390625 -8.96875 L 1.390625 2.984375 Z M 2.984375 2.984375 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-10">
<path d="M 1.859375 2.984375 L 1.859375 -8.96875 L 0.25 -8.96875 L 0.25 -8.515625 L 1.40625 -8.515625 L 1.40625 2.546875 L 0.25 2.546875 L 0.25 2.984375 Z M 1.859375 2.984375 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-11">
<path d="M 2.421875 0.609375 L 2.421875 -5.265625 L 0.671875 -5.140625 L 0.671875 -4.796875 C 1.5625 -4.796875 1.671875 -4.703125 1.671875 -4.125 L 1.671875 0.65625 C 1.671875 1.3125 1.546875 2.203125 0.84375 2.203125 C 0.84375 2.203125 0.453125 2.203125 0.171875 2.03125 C 0.484375 1.96875 0.578125 1.75 0.578125 1.546875 C 0.578125 1.265625 0.375 1.046875 0.09375 1.046875 C -0.203125 1.046875 -0.40625 1.265625 -0.40625 1.546875 C -0.40625 2.125 0.234375 2.4375 0.859375 2.4375 C 1.71875 2.4375 2.421875 1.703125 2.421875 0.609375 Z M 2.4375 -7.21875 C 2.4375 -7.578125 2.15625 -7.8125 1.859375 -7.8125 C 1.53125 -7.8125 1.28125 -7.546875 1.28125 -7.21875 C 1.28125 -6.90625 1.546875 -6.640625 1.859375 -6.640625 C 2.21875 -6.640625 2.4375 -6.9375 2.4375 -7.21875 Z M 2.4375 -7.21875 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-12">
<path d="M 5.96875 0 L 5.96875 -0.34375 C 5.65625 -0.34375 5.28125 -0.34375 4.953125 -0.84375 L 3.34375 -3.171875 L 3.265625 -3.28125 C 3.265625 -3.328125 4.015625 -3.96875 4.109375 -4.0625 C 4.9375 -4.78125 5.46875 -4.796875 5.71875 -4.8125 L 5.71875 -5.15625 C 5.46875 -5.125 5.15625 -5.125 4.8125 -5.125 C 4.5 -5.125 3.890625 -5.125 3.609375 -5.15625 L 3.609375 -4.8125 C 3.8125 -4.796875 3.953125 -4.6875 3.953125 -4.5 C 3.953125 -4.25 3.703125 -4.046875 3.703125 -4.046875 L 2 -2.53125 L 2 -8.296875 L 0.328125 -8.15625 L 0.328125 -7.8125 C 1.140625 -7.8125 1.25 -7.734375 1.25 -7.140625 L 1.25 -0.890625 C 1.25 -0.34375 1.109375 -0.34375 0.328125 -0.34375 L 0.328125 0 C 0.671875 -0.03125 1.25 -0.03125 1.609375 -0.03125 C 1.953125 -0.03125 2.53125 -0.03125 2.875 0 L 2.875 -0.34375 C 2.109375 -0.34375 1.953125 -0.34375 1.953125 -0.890625 L 1.953125 -2.15625 L 2.71875 -2.828125 L 3.875 -1.171875 C 4.046875 -0.921875 4.140625 -0.78125 4.140625 -0.625 C 4.140625 -0.40625 3.96875 -0.34375 3.71875 -0.34375 L 3.71875 0 C 4.015625 -0.03125 4.609375 -0.03125 4.921875 -0.03125 C 5.4375 -0.03125 5.46875 -0.03125 5.96875 0 Z M 5.96875 0 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-13">
<path d="M 8.453125 -4.09375 C 8.453125 -4.3125 8.25 -4.3125 8.0625 -4.3125 L 1.03125 -4.3125 C 0.859375 -4.3125 0.640625 -4.3125 0.640625 -4.09375 C 0.640625 -3.875 0.84375 -3.875 1.03125 -3.875 L 8.0625 -3.875 C 8.234375 -3.875 8.453125 -3.875 8.453125 -4.09375 Z M 8.453125 -1.859375 C 8.453125 -2.09375 8.25 -2.09375 8.0625 -2.09375 L 1.03125 -2.09375 C 0.859375 -2.09375 0.640625 -2.09375 0.640625 -1.875 C 0.640625 -1.65625 0.84375 -1.65625 1.03125 -1.65625 L 8.0625 -1.65625 C 8.234375 -1.65625 8.453125 -1.65625 8.453125 -1.859375 Z M 8.453125 -1.859375 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-14">
<path d="M 3.890625 2.90625 C 3.890625 2.875 3.890625 2.84375 3.6875 2.640625 C 2.484375 1.4375 1.8125 -0.53125 1.8125 -2.96875 C 1.8125 -5.296875 2.375 -7.296875 3.765625 -8.703125 C 3.890625 -8.8125 3.890625 -8.828125 3.890625 -8.875 C 3.890625 -8.9375 3.828125 -8.96875 3.78125 -8.96875 C 3.625 -8.96875 2.640625 -8.109375 2.0625 -6.9375 C 1.453125 -5.71875 1.171875 -4.453125 1.171875 -2.96875 C 1.171875 -1.90625 1.34375 -0.484375 1.953125 0.78125 C 2.671875 2.21875 3.640625 3 3.78125 3 C 3.828125 3 3.890625 2.96875 3.890625 2.90625 Z M 3.890625 2.90625 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-15">
<path d="M 6.078125 -2.578125 C 6.078125 -4.09375 4.953125 -5.265625 3.640625 -5.265625 C 2.59375 -5.265625 2.03125 -4.515625 2 -4.46875 L 2 -5.265625 L 0.328125 -5.140625 L 0.328125 -4.796875 C 1.171875 -4.796875 1.25 -4.703125 1.25 -4.1875 L 1.25 1.4375 C 1.25 1.96875 1.109375 1.96875 0.328125 1.96875 L 0.328125 2.3125 C 0.640625 2.296875 1.296875 2.296875 1.625 2.296875 C 1.96875 2.296875 2.625 2.296875 2.921875 2.3125 L 2.921875 1.96875 C 2.15625 1.96875 2.015625 1.96875 2.015625 1.4375 L 2.015625 -0.640625 C 2.234375 -0.34375 2.71875 0.125 3.484375 0.125 C 4.859375 0.125 6.078125 -1.046875 6.078125 -2.578125 Z M 5.15625 -2.578125 C 5.15625 -1.15625 4.34375 -0.125 3.4375 -0.125 C 3.0625 -0.125 2.71875 -0.28125 2.46875 -0.5 C 2.203125 -0.78125 2.015625 -1.015625 2.015625 -1.34375 L 2.015625 -3.8125 C 2.015625 -4.046875 2.015625 -4.046875 2.15625 -4.25 C 2.515625 -4.78125 3.09375 -5.015625 3.546875 -5.015625 C 4.453125 -5.015625 5.15625 -3.921875 5.15625 -2.578125 Z M 5.15625 -2.578125 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-16">
<path d="M 4.21875 -4.578125 C 4.21875 -4.9375 3.890625 -5.265625 3.375 -5.265625 C 2.359375 -5.265625 2.015625 -4.171875 1.953125 -3.9375 L 1.9375 -3.9375 L 1.9375 -5.265625 L 0.328125 -5.140625 L 0.328125 -4.796875 C 1.140625 -4.796875 1.25 -4.703125 1.25 -4.125 L 1.25 -0.890625 C 1.25 -0.34375 1.109375 -0.34375 0.328125 -0.34375 L 0.328125 0 C 0.671875 -0.03125 1.328125 -0.03125 1.6875 -0.03125 C 2.015625 -0.03125 2.859375 -0.03125 3.125 0 L 3.125 -0.34375 L 2.890625 -0.34375 C 2.015625 -0.34375 2 -0.484375 2 -0.90625 L 2 -2.78125 C 2 -3.9375 2.46875 -5.03125 3.390625 -5.03125 C 3.484375 -5.03125 3.515625 -5.03125 3.5625 -5.015625 C 3.46875 -4.96875 3.28125 -4.90625 3.28125 -4.578125 C 3.28125 -4.234375 3.546875 -4.09375 3.734375 -4.09375 C 3.984375 -4.09375 4.21875 -4.25 4.21875 -4.578125 Z M 4.21875 -4.578125 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-17">
<path d="M 6.15625 0 L 6.15625 -0.34375 C 5.34375 -0.34375 5.25 -0.4375 5.25 -1.015625 L 5.25 -8.296875 L 3.578125 -8.15625 L 3.578125 -7.8125 C 4.40625 -7.8125 4.5 -7.734375 4.5 -7.140625 L 4.5 -4.5 C 4.25 -4.859375 3.734375 -5.265625 3 -5.265625 C 1.609375 -5.265625 0.421875 -4.09375 0.421875 -2.5625 C 0.421875 -1.046875 1.546875 0.125 2.875 0.125 C 3.78125 0.125 4.296875 -0.484375 4.46875 -0.703125 L 4.46875 0.125 Z M 4.46875 -1.40625 C 4.46875 -1.1875 4.46875 -1.140625 4.296875 -0.890625 C 4.015625 -0.46875 3.53125 -0.125 2.921875 -0.125 C 2.625 -0.125 1.328125 -0.234375 1.328125 -2.5625 C 1.328125 -3.421875 1.46875 -3.890625 1.734375 -4.296875 C 1.96875 -4.65625 2.453125 -5.03125 3.046875 -5.03125 C 3.796875 -5.03125 4.203125 -4.5 4.328125 -4.296875 C 4.46875 -4.09375 4.46875 -4.078125 4.46875 -3.859375 Z M 4.46875 -1.40625 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-18">
<path d="M 8.453125 -2.96875 C 8.453125 -3.203125 8.25 -3.203125 8.0625 -3.203125 L 4.765625 -3.203125 L 4.765625 -6.5 C 4.765625 -6.671875 4.765625 -6.890625 4.546875 -6.890625 C 4.328125 -6.890625 4.328125 -6.6875 4.328125 -6.5 L 4.328125 -3.203125 L 1.03125 -3.203125 C 0.859375 -3.203125 0.640625 -3.203125 0.640625 -2.984375 C 0.640625 -2.765625 0.84375 -2.765625 1.03125 -2.765625 L 4.328125 -2.765625 L 4.328125 0.53125 C 4.328125 0.703125 4.328125 0.921875 4.546875 0.921875 C 4.765625 0.921875 4.765625 0.71875 4.765625 0.53125 L 4.765625 -2.765625 L 8.0625 -2.765625 C 8.234375 -2.765625 8.453125 -2.765625 8.453125 -2.96875 Z M 8.453125 -2.96875 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-19">
<path d="M 3.375 -2.96875 C 3.375 -3.890625 3.25 -5.359375 2.578125 -6.75 C 1.875 -8.1875 0.890625 -8.96875 0.765625 -8.96875 C 0.71875 -8.96875 0.65625 -8.9375 0.65625 -8.875 C 0.65625 -8.828125 0.65625 -8.8125 0.859375 -8.609375 C 2.0625 -7.40625 2.71875 -5.421875 2.71875 -2.984375 C 2.71875 -0.671875 2.15625 1.328125 0.78125 2.734375 C 0.65625 2.84375 0.65625 2.875 0.65625 2.90625 C 0.65625 2.96875 0.71875 3 0.765625 3 C 0.921875 3 1.90625 2.140625 2.484375 0.96875 C 3.09375 -0.25 3.375 -1.546875 3.375 -2.96875 Z M 3.375 -2.96875 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-20">
<path d="M 8.515625 -4.8125 L 8.515625 -5.15625 L 7.328125 -5.125 C 7 -5.125 6.234375 -5.125 5.96875 -5.15625 L 5.96875 -4.8125 C 6.46875 -4.8125 6.796875 -4.609375 6.796875 -4.28125 C 6.796875 -4.234375 6.796875 -4.15625 6.75 -4.0625 C 6.515625 -3.625 6.1875 -3.078125 5.890625 -2.59375 C 5.46875 -1.90625 5.09375 -1.453125 5.046875 -1.390625 C 4.84375 -1.640625 3.625 -3.1875 3.078125 -4.625 C 3.375 -4.953125 4.484375 -6.140625 4.484375 -7.046875 C 4.484375 -7.15625 4.46875 -8.546875 3.484375 -8.546875 C 2.765625 -8.546875 1.921875 -7.90625 1.921875 -6.640625 C 1.921875 -6.078125 2.03125 -5.265625 2.328125 -4.453125 L 2.390625 -4.25 C 2.390625 -4.203125 2.328125 -4.140625 2.3125 -4.125 L 0.9375 -2.625 C 0.734375 -2.40625 0.484375 -2.015625 0.484375 -1.53125 C 0.484375 -0.484375 1.484375 0.25 2.609375 0.25 C 3.40625 0.25 4.125 -0.09375 4.734375 -0.671875 C 5.03125 -0.40625 5.765625 0.25 6.796875 0.25 C 7.6875 0.25 8.421875 -0.4375 8.453125 -1.453125 L 8.1875 -1.453125 C 8.15625 -0.53125 7.421875 -0.09375 6.84375 -0.09375 C 6.25 -0.09375 5.71875 -0.578125 5.21875 -1.171875 C 5.765625 -1.859375 6.1875 -2.5625 6.796875 -3.625 C 7.21875 -4.34375 7.46875 -4.796875 8.515625 -4.8125 Z M 4.21875 -7.03125 C 4.21875 -6.25 3.234375 -5.171875 2.984375 -4.890625 C 2.734375 -5.578125 2.625 -6.390625 2.625 -6.921875 C 2.625 -7.890625 3.078125 -8.3125 3.515625 -8.3125 C 4.171875 -8.3125 4.21875 -7.265625 4.21875 -7.03125 Z M 4.53125 -0.875 C 3.796875 -0.171875 3.0625 -0.09375 2.71875 -0.09375 C 1.734375 -0.09375 1.40625 -1.171875 1.40625 -1.90625 C 1.40625 -2.21875 1.453125 -2.71875 1.765625 -3.15625 C 1.78125 -3.1875 2.40625 -3.875 2.5 -3.984375 C 2.96875 -2.890625 3.765625 -1.71875 4.53125 -0.875 Z M 4.53125 -0.875 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-21">
<path d="M 5.265625 -2.015625 L 5 -2.015625 C 4.953125 -1.8125 4.859375 -1.140625 4.75 -0.953125 C 4.65625 -0.84375 3.984375 -0.84375 3.625 -0.84375 L 1.40625 -0.84375 C 1.734375 -1.125 2.46875 -1.890625 2.765625 -2.171875 C 4.59375 -3.84375 5.265625 -4.46875 5.265625 -5.65625 C 5.265625 -7.03125 4.171875 -7.953125 2.78125 -7.953125 C 1.40625 -7.953125 0.578125 -6.765625 0.578125 -5.734375 C 0.578125 -5.125 1.109375 -5.125 1.140625 -5.125 C 1.40625 -5.125 1.703125 -5.3125 1.703125 -5.6875 C 1.703125 -6.03125 1.484375 -6.25 1.140625 -6.25 C 1.046875 -6.25 1.015625 -6.25 0.984375 -6.234375 C 1.203125 -7.046875 1.859375 -7.609375 2.625 -7.609375 C 3.640625 -7.609375 4.265625 -6.75 4.265625 -5.65625 C 4.265625 -4.640625 3.6875 -3.75 3 -2.984375 L 0.578125 -0.28125 L 0.578125 0 L 4.953125 0 Z M 5.265625 -2.015625 "></path>
</g>
<g id="initialstatedelta2.svg-glyph0-22">
<path d="M 5.265625 -2.40625 C 5.265625 -3.828125 4.296875 -5.015625 3.046875 -5.015625 C 2.359375 -5.015625 1.84375 -4.703125 1.53125 -4.375 L 1.53125 -6.84375 C 2.046875 -6.6875 2.46875 -6.671875 2.59375 -6.671875 C 3.9375 -6.671875 4.8125 -7.65625 4.8125 -7.828125 C 4.8125 -7.875 4.78125 -7.9375 4.703125 -7.9375 C 4.703125 -7.9375 4.65625 -7.9375 4.546875 -7.890625 C 3.890625 -7.609375 3.3125 -7.5625 3 -7.5625 C 2.21875 -7.5625 1.65625 -7.8125 1.421875 -7.90625 C 1.34375 -7.9375 1.296875 -7.9375 1.296875 -7.9375 C 1.203125 -7.9375 1.203125 -7.859375 1.203125 -7.671875 L 1.203125 -4.125 C 1.203125 -3.90625 1.203125 -3.84375 1.34375 -3.84375 C 1.40625 -3.84375 1.421875 -3.84375 1.546875 -4 C 1.875 -4.484375 2.4375 -4.765625 3.03125 -4.765625 C 3.671875 -4.765625 3.984375 -4.1875 4.078125 -3.984375 C 4.28125 -3.515625 4.296875 -2.921875 4.296875 -2.46875 C 4.296875 -2.015625 4.296875 -1.34375 3.953125 -0.796875 C 3.6875 -0.375 3.234375 -0.078125 2.703125 -0.078125 C 1.90625 -0.078125 1.140625 -0.609375 0.921875 -1.484375 C 0.984375 -1.453125 1.046875 -1.453125 1.109375 -1.453125 C 1.3125 -1.453125 1.640625 -1.5625 1.640625 -1.96875 C 1.640625 -2.3125 1.40625 -2.5 1.109375 -2.5 C 0.890625 -2.5 0.578125 -2.390625 0.578125 -1.921875 C 0.578125 -0.90625 1.40625 0.25 2.71875 0.25 C 4.078125 0.25 5.265625 -0.890625 5.265625 -2.40625 Z M 5.265625 -2.40625 "></path>
</g>
</g>
</defs>
<g id="initialstatedelta2.svg-surface1">
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-1" x="-0.146" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-2" x="3.105814" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-1" x="9.609443" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-3" x="12.861258" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-1" x="17.413798" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-4" x="20.665612" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-5" x="26.518878" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-6" x="29.770692" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-7" x="38.545809" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-3" x="43.162908" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-4" x="47.715448" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-3" x="53.568714" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-8" x="58.121254" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-9" x="63.324157" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-1" x="70.473366" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-10" x="77.634531" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-9" x="80.886346" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-11" x="88.035555" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-10" x="95.509946" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-9" x="98.761761" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-12" x="105.922925" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-10" x="115.998768" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-13" x="123.159933" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-14" x="136.162408" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-15" x="144.612344" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-16" x="151.115972" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-8" x="155.668513" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-17" x="160.871416" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-18" x="171.284395" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-1" x="184.28687" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-2" x="187.538685" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-1" x="194.042314" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-3" x="197.294128" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-1" x="201.846668" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-4" x="205.098483" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-5" x="210.951748" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-6" x="214.203563" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-7" x="222.97868" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-3" x="227.595778" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-4" x="232.148318" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-3" x="238.001584" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-8" x="242.554124" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-6" x="247.757027" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-17" x="256.532144" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-8" x="263.035773" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-5" x="268.238676" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-3" x="271.49049" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-4" x="276.04303" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-9" x="281.896296" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-1" x="289.045506" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-10" x="296.206671" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-9" x="299.458485" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-11" x="306.607695" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-10" x="314.082086" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-9" x="317.3339" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-12" x="324.495065" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-10" x="334.570908" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-19" x="341.720117" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-20" x="350.182008" y="9.753"></use>
</g>
<g>
<use xlink:href="#initialstatedelta2.svg-glyph0-21" x="363.184483" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-22" x="369.037749" y="9.753"></use>
<use xlink:href="#initialstatedelta2.svg-glyph0-22" x="374.891015" y="9.753"></use>
</g>
</g>
</svg><a href="#section-4.1.15-3.1.1" class="pilcrow">¶</a>
</div>
</div>
<figcaption><a href="#figure-21" class="selfRef">Figure 21</a></figcaption></figure>
</section>
</div>
<div id="ec">
<section id="section-4.1.16">
<h4 id="name-ec">
<a href="#section-4.1.16" class="section-number selfRef">4.1.16. </a><a href="#name-ec" class="section-name selfRef">ec</a>
</h4>
<p id="section-4.1.16-1"><code>ec</code> indicates the error detection/correction type.<a href="#section-4.1.16-1" class="pilcrow">¶</a></p>
<table class="center" id="table-13">
<caption><a href="#table-13" class="selfRef">Table 13</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">error detection/correction type</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">32-bit CRC on the global header</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">32-bit CRC per slice and the global header</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">Other</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="intra">
<section id="section-4.1.17">
<h4 id="name-intra">
<a href="#section-4.1.17" class="section-number selfRef">4.1.17. </a><a href="#name-intra" class="section-name selfRef">intra</a>
</h4>
<p id="section-4.1.17-1"><code>intra</code> indicates the relationship between the instances of <code>Frame</code>.<a href="#section-4.1.17-1" class="pilcrow">¶</a></p>
<p id="section-4.1.17-2">Inferred to be 0 if not present.<a href="#section-4.1.17-2" class="pilcrow">¶</a></p>
<table class="center" id="table-14">
<caption><a href="#table-14" class="selfRef">Table 14</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">relationship</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">Frames are independent or dependent (keyframes and non keyframes)</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">Frames are independent (keyframes only)</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">Other</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
</tr>
</tbody>
</table>
</section>
</div>
</section>
</div>
<div id="configuration-record">
<section id="section-4.2">
<h3 id="name-configuration-record">
<a href="#section-4.2" class="section-number selfRef">4.2. </a><a href="#name-configuration-record" class="section-name selfRef">Configuration Record</a>
</h3>
<p id="section-4.2-1">In the case of a FFV1 bitstream with <code>version >= 3</code>, a <code>Configuration Record</code> is stored in the underlying <code>Container</code>, at the track header level. It contains the <code>Parameters</code> used for all instances of <code>Frame</code>. The size of the <code>Configuration Record</code>, <code>NumBytes</code>, is supplied by the underlying <code>Container</code>.<a href="#section-4.2-1" class="pilcrow">¶</a></p>
<div id="section-4.2-2">
<pre class="sourcecode lang-c">pseudo-code | type
-----------------------------------------------------------|-----
ConfigurationRecord( NumBytes ) { |
ConfigurationRecordIsPresent = 1 |
Parameters( ) |
while (remaining_symbols_in_syntax(NumBytes - 4)) { |
reserved_for_future_use | br/ur/sr
} |
configuration_record_crc_parity | u(32)
} |
</pre><a href="#section-4.2-2" class="pilcrow">¶</a>
</div>
<div id="reserved-for-future-use">
<section id="section-4.2.1">
<h4 id="name-reserved_for_future_use">
<a href="#section-4.2.1" class="section-number selfRef">4.2.1. </a><a href="#name-reserved_for_future_use" class="section-name selfRef">reserved_for_future_use</a>
</h4>
<p id="section-4.2.1-1"><code>reserved_for_future_use</code> has semantics that are reserved for future use.<a href="#section-4.2.1-1" class="pilcrow">¶</a></p>
<p id="section-4.2.1-2">Encoders conforming to this version of this specification SHALL NOT write this value.<a href="#section-4.2.1-2" class="pilcrow">¶</a></p>
<p id="section-4.2.1-3">Decoders conforming to this version of this specification SHALL ignore its value.<a href="#section-4.2.1-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="configuration-record-crc-parity">
<section id="section-4.2.2">
<h4 id="name-configuration_record_crc_pa">
<a href="#section-4.2.2" class="section-number selfRef">4.2.2. </a><a href="#name-configuration_record_crc_pa" class="section-name selfRef">configuration_record_crc_parity</a>
</h4>
<p id="section-4.2.2-1"><code>configuration_record_crc_parity</code> 32 bits that are chosen so that the <code>Configuration Record</code> as a whole has a crc remainder of 0.<a href="#section-4.2.2-1" class="pilcrow">¶</a></p>
<p id="section-4.2.2-2">This is equivalent to storing the crc remainder in the 32-bit parity.<a href="#section-4.2.2-2" class="pilcrow">¶</a></p>
<p id="section-4.2.2-3">The CRC generator polynomial used is the standard IEEE CRC polynomial (0x104C11DB7) with initial value 0.<a href="#section-4.2.2-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="mapping-ffv1-into-containers">
<section id="section-4.2.3">
<h4 id="name-mapping-ffv1-into-container">
<a href="#section-4.2.3" class="section-number selfRef">4.2.3. </a><a href="#name-mapping-ffv1-into-container" class="section-name selfRef">Mapping FFV1 into Containers</a>
</h4>
<p id="section-4.2.3-1">This <code>Configuration Record</code> can be placed in any file format supporting <code>Configuration Records</code>, fitting as much as possible with how the file format uses to store <code>Configuration Records</code>. The <code>Configuration Record</code> storage place and <code>NumBytes</code> are currently defined and supported by this version of this specification for the following formats:<a href="#section-4.2.3-1" class="pilcrow">¶</a></p>
<div id="avi-file-format">
<section id="section-4.2.3.1">
<h5 id="name-avi-file-format">
<a href="#section-4.2.3.1" class="section-number selfRef">4.2.3.1. </a><a href="#name-avi-file-format" class="section-name selfRef">AVI File Format</a>
</h5>
<p id="section-4.2.3.1-1">The <code>Configuration Record</code> extends the stream format chunk ("AVI ", "hdlr", "strl", "strf") with the ConfigurationRecord bitstream.<a href="#section-4.2.3.1-1" class="pilcrow">¶</a></p>
<p id="section-4.2.3.1-2">See <span>[<a href="#AVI" class="xref">AVI</a>]</span> for more information about chunks.<a href="#section-4.2.3.1-2" class="pilcrow">¶</a></p>
<p id="section-4.2.3.1-3"><code>NumBytes</code> is defined as the size, in bytes, of the strf chunk indicated in the chunk header minus the size of the stream format structure.<a href="#section-4.2.3.1-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="iso-base-media-file-format">
<section id="section-4.2.3.2">
<h5 id="name-iso-base-media-file-format">
<a href="#section-4.2.3.2" class="section-number selfRef">4.2.3.2. </a><a href="#name-iso-base-media-file-format" class="section-name selfRef">ISO Base Media File Format</a>
</h5>
<p id="section-4.2.3.2-1">The <code>Configuration Record</code> extends the sample description box ("moov", "trak", "mdia", "minf", "stbl", "stsd") with a "glbl" box that contains the ConfigurationRecord bitstream. See <span>[<a href="#ISO.14496-12.2015" class="xref">ISO.14496-12.2015</a>]</span> for more information about boxes.<a href="#section-4.2.3.2-1" class="pilcrow">¶</a></p>
<p id="section-4.2.3.2-2"><code>NumBytes</code> is defined as the size, in bytes, of the "glbl" box indicated in the box header minus the size of the box header.<a href="#section-4.2.3.2-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="nut-file-format">
<section id="section-4.2.3.3">
<h5 id="name-nut-file-format">
<a href="#section-4.2.3.3" class="section-number selfRef">4.2.3.3. </a><a href="#name-nut-file-format" class="section-name selfRef">NUT File Format</a>
</h5>
<p id="section-4.2.3.3-1">The codec_specific_data element (in "stream_header" packet) contains the ConfigurationRecord bitstream. See <span>[<a href="#NUT" class="xref">NUT</a>]</span> for more information about elements.<a href="#section-4.2.3.3-1" class="pilcrow">¶</a></p>
<p id="section-4.2.3.3-2"><code>NumBytes</code> is defined as the size, in bytes, of the codec_specific_data element as indicated in the "length" field of codec_specific_data<a href="#section-4.2.3.3-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="matroska-file-format">
<section id="section-4.2.3.4">
<h5 id="name-matroska-file-format">
<a href="#section-4.2.3.4" class="section-number selfRef">4.2.3.4. </a><a href="#name-matroska-file-format" class="section-name selfRef">Matroska File Format</a>
</h5>
<p id="section-4.2.3.4-1">FFV1 SHOULD use <code>V_FFV1</code> as the Matroska <code>Codec ID</code>. For FFV1 versions 2 or less, the Matroska <code>CodecPrivate</code> Element SHOULD NOT be used. For FFV1 versions 3 or greater, the Matroska <code>CodecPrivate</code> Element MUST contain the FFV1 <code>Configuration Record</code> structure and no other data. See <span>[<a href="#Matroska" class="xref">Matroska</a>]</span> for more information about elements.<a href="#section-4.2.3.4-1" class="pilcrow">¶</a></p>
<p id="section-4.2.3.4-2"><code>NumBytes</code> is defined as the <code>Element Data Size</code> of the <code>CodecPrivate</code> Element.<a href="#section-4.2.3.4-2" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
</section>
</div>
<div id="frame">
<section id="section-4.3">
<h3 id="name-frame">
<a href="#section-4.3" class="section-number selfRef">4.3. </a><a href="#name-frame" class="section-name selfRef">Frame</a>
</h3>
<p id="section-4.3-1">A <code>Frame</code> is an encoded representation of a complete static image. The whole <code>Frame</code> is provided by the underlaying container.<a href="#section-4.3-1" class="pilcrow">¶</a></p>
<p id="section-4.3-2">A <code>Frame</code> consists of the keyframe field, <code>Parameters</code> (if version <=1), and a sequence of independent slices. The pseudo-code below describes the contents of a <code>Frame</code>.<a href="#section-4.3-2" class="pilcrow">¶</a></p>
<div id="section-4.3-3">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
Frame( NumBytes ) { |
keyframe | br
if (keyframe && !ConfigurationRecordIsPresent { |
Parameters( ) |
} |
while (remaining_bits_in_bitstream( NumBytes )) { |
Slice( ) |
} |
} |
</pre><a href="#section-4.3-3" class="pilcrow">¶</a>
</div>
<p id="section-4.3-4">Architecture overview of slices in a <code>Frame</code>:<a href="#section-4.3-4" class="pilcrow">¶</a></p>
<table class="center" id="table-15">
<caption><a href="#table-15" class="selfRef">Table 15</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1"></th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">first slice header</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">first slice content</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">first slice footer</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">---------------------------------------------------------------</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">second slice header</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">second slice content</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">second slice footer</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">---------------------------------------------------------------</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">...</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">---------------------------------------------------------------</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">last slice header</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">last slice content</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">last slice footer</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="slice">
<section id="section-4.4">
<h3 id="name-slice">
<a href="#section-4.4" class="section-number selfRef">4.4. </a><a href="#name-slice" class="section-name selfRef">Slice</a>
</h3>
<p id="section-4.4-1">A <code>Slice</code> is an independent spatial sub-section of a <code>Frame</code> that is encoded separately from an other region of the same <code>Frame</code>. The use of more than one <code>Slice</code> per <code>Frame</code> can be useful for taking advantage of the opportunities of multithreaded encoding and decoding.<a href="#section-4.4-1" class="pilcrow">¶</a></p>
<p id="section-4.4-2">A <code>Slice</code> consists of a <code>Slice Header</code> (when relevant), a <code>Slice Content</code>, and a <code>Slice Footer</code> (when relevant). The pseudo-code below describes the contents of a <code>Slice</code>.<a href="#section-4.4-2" class="pilcrow">¶</a></p>
<div id="section-4.4-3">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
Slice( ) { |
if (version >= 3) { |
SliceHeader( ) |
} |
SliceContent( ) |
if (coder_type == 0) { |
while (!byte_aligned()) { |
padding | u(1)
} |
} |
if (version <= 1) { |
while (remaining_bits_in_bitstream( NumBytes ) != 0) {|
reserved | u(1)
} |
} |
if (version >= 3) { |
SliceFooter( ) |
} |
} |
</pre><a href="#section-4.4-3" class="pilcrow">¶</a>
</div>
<p id="section-4.4-4"><code>padding</code> specifies a bit without any significance and used only for byte alignment.
MUST be 0.<a href="#section-4.4-4" class="pilcrow">¶</a></p>
<p id="section-4.4-5"><code>reserved</code> specifies a bit without any significance in this revision of the specification and may have a significance in a later revision of this specification.<a href="#section-4.4-5" class="pilcrow">¶</a></p>
<p id="section-4.4-6">Encoders SHOULD NOT fill these bits.<a href="#section-4.4-6" class="pilcrow">¶</a></p>
<p id="section-4.4-7">Decoders SHOULD ignore these bits.<a href="#section-4.4-7" class="pilcrow">¶</a></p>
<p id="section-4.4-8">Note in case these bits are used in a later revision of this specification: any revision of this specification SHOULD care about avoiding to add 40 bits of content after <code>SliceContent</code> for version 0 and 1 of the bitstream. Background: Due to some non-conforming encoders, some bitstreams were found with 40 extra bits corresponding to "error<em>status" and "slice</em>crc_parity". As a result, a decoder conforming to the revised specification could not distinguish between a revised bitstream and a buggy bitstream.<a href="#section-4.4-8" class="pilcrow">¶</a></p>
</section>
</div>
<div id="slice-header">
<section id="section-4.5">
<h3 id="name-slice-header">
<a href="#section-4.5" class="section-number selfRef">4.5. </a><a href="#name-slice-header" class="section-name selfRef">Slice Header</a>
</h3>
<p id="section-4.5-1">A <code>Slice Header</code> provides information about the decoding configuration of the <code>Slice</code>, such as its spatial position, size, and aspect ratio. The pseudo-code below describes the contents of the <code>Slice Header</code>.<a href="#section-4.5-1" class="pilcrow">¶</a></p>
<div id="section-4.5-2">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
SliceHeader( ) { |
slice_x | ur
slice_y | ur
slice_width - 1 | ur
slice_height - 1 | ur
for (i = 0; i < quant_table_set_index_count; i++) { |
quant_table_set_index[ i ] | ur
} |
picture_structure | ur
sar_num | ur
sar_den | ur
} |
</pre><a href="#section-4.5-2" class="pilcrow">¶</a>
</div>
<div id="slice-x">
<section id="section-4.5.1">
<h4 id="name-slice_x">
<a href="#section-4.5.1" class="section-number selfRef">4.5.1. </a><a href="#name-slice_x" class="section-name selfRef">slice_x</a>
</h4>
<p id="section-4.5.1-1"><code>slice_x</code> indicates the x position on the slice raster formed by num<em>h</em>slices.<a href="#section-4.5.1-1" class="pilcrow">¶</a></p>
<p id="section-4.5.1-2">Inferred to be 0 if not present.<a href="#section-4.5.1-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="slice-y">
<section id="section-4.5.2">
<h4 id="name-slice_y">
<a href="#section-4.5.2" class="section-number selfRef">4.5.2. </a><a href="#name-slice_y" class="section-name selfRef">slice_y</a>
</h4>
<p id="section-4.5.2-1"><code>slice_y</code> indicates the y position on the slice raster formed by num<em>v</em>slices.<a href="#section-4.5.2-1" class="pilcrow">¶</a></p>
<p id="section-4.5.2-2">Inferred to be 0 if not present.<a href="#section-4.5.2-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="slice-width">
<section id="section-4.5.3">
<h4 id="name-slice_width">
<a href="#section-4.5.3" class="section-number selfRef">4.5.3. </a><a href="#name-slice_width" class="section-name selfRef">slice_width</a>
</h4>
<p id="section-4.5.3-1"><code>slice_width</code> indicates the width on the slice raster formed by num<em>h</em>slices.<a href="#section-4.5.3-1" class="pilcrow">¶</a></p>
<p id="section-4.5.3-2">Inferred to be 1 if not present.<a href="#section-4.5.3-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="slice-height">
<section id="section-4.5.4">
<h4 id="name-slice_height">
<a href="#section-4.5.4" class="section-number selfRef">4.5.4. </a><a href="#name-slice_height" class="section-name selfRef">slice_height</a>
</h4>
<p id="section-4.5.4-1"><code>slice_height</code> indicates the height on the slice raster formed by num<em>v</em>slices.<a href="#section-4.5.4-1" class="pilcrow">¶</a></p>
<p id="section-4.5.4-2">Inferred to be 1 if not present.<a href="#section-4.5.4-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="quant-table-set-index-count">
<section id="section-4.5.5">
<h4 id="name-quant_table_set_index_count">
<a href="#section-4.5.5" class="section-number selfRef">4.5.5. </a><a href="#name-quant_table_set_index_count" class="section-name selfRef">quant_table_set_index_count</a>
</h4>
<p id="section-4.5.5-1"><code>quant_table_set_index_count</code> is defined as <code>1 + ( ( chroma_planes || version <= 3 ) ? 1 : 0 ) + ( extra_plane ? 1 : 0 )</code>.<a href="#section-4.5.5-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="quant-table-set-index">
<section id="section-4.5.6">
<h4 id="name-quant_table_set_index">
<a href="#section-4.5.6" class="section-number selfRef">4.5.6. </a><a href="#name-quant_table_set_index" class="section-name selfRef">quant_table_set_index</a>
</h4>
<p id="section-4.5.6-1"><code>quant_table_set_index</code> indicates the Quantization Table Set index to select the Quantization Table Set and the initial states for the slice.<a href="#section-4.5.6-1" class="pilcrow">¶</a></p>
<p id="section-4.5.6-2">Inferred to be 0 if not present.<a href="#section-4.5.6-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="picture-structure">
<section id="section-4.5.7">
<h4 id="name-picture_structure">
<a href="#section-4.5.7" class="section-number selfRef">4.5.7. </a><a href="#name-picture_structure" class="section-name selfRef">picture_structure</a>
</h4>
<p id="section-4.5.7-1"><code>picture_structure</code> specifies the temporal and spatial relationship of each <code>Line</code> of the <code>Frame</code>.<a href="#section-4.5.7-1" class="pilcrow">¶</a></p>
<p id="section-4.5.7-2">Inferred to be 0 if not present.<a href="#section-4.5.7-2" class="pilcrow">¶</a></p>
<table class="center" id="table-16">
<caption><a href="#table-16" class="selfRef">Table 16</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">picture structure used</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">unknown</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">top field first</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">2</td>
<td class="text-left" rowspan="1" colspan="1">bottom field first</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">3</td>
<td class="text-left" rowspan="1" colspan="1">progressive</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">Other</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="sar-num">
<section id="section-4.5.8">
<h4 id="name-sar_num">
<a href="#section-4.5.8" class="section-number selfRef">4.5.8. </a><a href="#name-sar_num" class="section-name selfRef">sar_num</a>
</h4>
<p id="section-4.5.8-1"><code>sar_num</code> specifies the <code>Sample</code> aspect ratio numerator.<a href="#section-4.5.8-1" class="pilcrow">¶</a></p>
<p id="section-4.5.8-2">Inferred to be 0 if not present.<a href="#section-4.5.8-2" class="pilcrow">¶</a></p>
<p id="section-4.5.8-3">A value of 0 means that aspect ratio is unknown.<a href="#section-4.5.8-3" class="pilcrow">¶</a></p>
<p id="section-4.5.8-4">Encoders MUST write 0 if <code>Sample</code> aspect ratio is unknown.<a href="#section-4.5.8-4" class="pilcrow">¶</a></p>
<p id="section-4.5.8-5">If <code>sar_den</code> is 0, decoders SHOULD ignore the encoded value and consider that <code>sar_num</code> is 0.<a href="#section-4.5.8-5" class="pilcrow">¶</a></p>
</section>
</div>
<div id="sar-den">
<section id="section-4.5.9">
<h4 id="name-sar_den">
<a href="#section-4.5.9" class="section-number selfRef">4.5.9. </a><a href="#name-sar_den" class="section-name selfRef">sar_den</a>
</h4>
<p id="section-4.5.9-1"><code>sar_den</code> specifies the <code>Sample</code> aspect ratio denominator.<a href="#section-4.5.9-1" class="pilcrow">¶</a></p>
<p id="section-4.5.9-2">Inferred to be 0 if not present.<a href="#section-4.5.9-2" class="pilcrow">¶</a></p>
<p id="section-4.5.9-3">A value of 0 means that aspect ratio is unknown.<a href="#section-4.5.9-3" class="pilcrow">¶</a></p>
<p id="section-4.5.9-4">Encoders MUST write 0 if <code>Sample</code> aspect ratio is unknown.<a href="#section-4.5.9-4" class="pilcrow">¶</a></p>
<p id="section-4.5.9-5">If <code>sar_num</code> is 0, decoders SHOULD ignore the encoded value and consider that <code>sar_den</code> is 0.<a href="#section-4.5.9-5" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
<div id="slice-content">
<section id="section-4.6">
<h3 id="name-slice-content">
<a href="#section-4.6" class="section-number selfRef">4.6. </a><a href="#name-slice-content" class="section-name selfRef">Slice Content</a>
</h3>
<p id="section-4.6-1">A <code>Slice Content</code> contains all <code>Line</code> elements part of the <code>Slice</code>.<a href="#section-4.6-1" class="pilcrow">¶</a></p>
<p id="section-4.6-2">Depending on the configuration, <code>Line</code> elements are ordered by <code>Plane</code> then by row (YCbCr) or by row then by <code>Plane</code> (RGB).<a href="#section-4.6-2" class="pilcrow">¶</a></p>
<div id="section-4.6-3">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
SliceContent( ) { |
if (colorspace_type == 0) { |
for (p = 0; p < primary_color_count; p++) { |
for (y = 0; y < plane_pixel_height[ p ]; y++) { |
Line( p, y ) |
} |
} |
} else if (colorspace_type == 1) { |
for (y = 0; y < slice_pixel_height; y++) { |
for (p = 0; p < primary_color_count; p++) { |
Line( p, y ) |
} |
} |
} |
} |
</pre><a href="#section-4.6-3" class="pilcrow">¶</a>
</div>
<div id="primary-color-count">
<section id="section-4.6.1">
<h4 id="name-primary_color_count">
<a href="#section-4.6.1" class="section-number selfRef">4.6.1. </a><a href="#name-primary_color_count" class="section-name selfRef">primary_color_count</a>
</h4>
<p id="section-4.6.1-1"><code>primary_color_count</code> is defined as <code>1 + ( chroma_planes ? 2 : 0 ) + ( extra_plane ? 1 : 0 )</code>.<a href="#section-4.6.1-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="plane-pixel-height">
<section id="section-4.6.2">
<h4 id="name-plane_pixel_height">
<a href="#section-4.6.2" class="section-number selfRef">4.6.2. </a><a href="#name-plane_pixel_height" class="section-name selfRef">plane_pixel_height</a>
</h4>
<p id="section-4.6.2-1"><code>plane_pixel_height[ p ]</code> is the height in pixels of plane p of the slice.<a href="#section-4.6.2-1" class="pilcrow">¶</a></p>
<p id="section-4.6.2-2"><code>plane_pixel_height[ 0 ]</code> and <code>plane_pixel_height[ 1 + ( chroma_planes ? 2 : 0 ) ]</code> value is <code>slice_pixel_height</code>.<a href="#section-4.6.2-2" class="pilcrow">¶</a></p>
<p id="section-4.6.2-3">If <code>chroma_planes</code> is set to 1, <code>plane_pixel_height[ 1 ]</code> and <code>plane_pixel_height[ 2 ]</code> value is <code>ceil( slice_pixel_height / (1 << log2_v_chroma_subsample) )</code>.<a href="#section-4.6.2-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="slice-pixel-height">
<section id="section-4.6.3">
<h4 id="name-slice_pixel_height">
<a href="#section-4.6.3" class="section-number selfRef">4.6.3. </a><a href="#name-slice_pixel_height" class="section-name selfRef">slice_pixel_height</a>
</h4>
<p id="section-4.6.3-1"><code>slice_pixel_height</code> is the height in pixels of the slice.<a href="#section-4.6.3-1" class="pilcrow">¶</a></p>
<p id="section-4.6.3-2">Its value is <code>floor( ( slice_y + slice_height ) * slice_pixel_height / num_v_slices ) - slice_pixel_y</code>.<a href="#section-4.6.3-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="slice-pixel-y">
<section id="section-4.6.4">
<h4 id="name-slice_pixel_y">
<a href="#section-4.6.4" class="section-number selfRef">4.6.4. </a><a href="#name-slice_pixel_y" class="section-name selfRef">slice_pixel_y</a>
</h4>
<p id="section-4.6.4-1"><code>slice_pixel_y</code> is the slice vertical position in pixels.<a href="#section-4.6.4-1" class="pilcrow">¶</a></p>
<p id="section-4.6.4-2">Its value is <code>floor( slice_y * frame_pixel_height / num_v_slices )</code>.<a href="#section-4.6.4-2" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
<div id="line">
<section id="section-4.7">
<h3 id="name-line">
<a href="#section-4.7" class="section-number selfRef">4.7. </a><a href="#name-line" class="section-name selfRef">Line</a>
</h3>
<p id="section-4.7-1">A <code>Line</code> is a list of the sample differences (relative to the predictor) of primary color components. The pseudo-code below describes the contents of the <code>Line</code>.<a href="#section-4.7-1" class="pilcrow">¶</a></p>
<div id="section-4.7-2">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
Line( p, y ) { |
if (colorspace_type == 0) { |
for (x = 0; x < plane_pixel_width[ p ]; x++) { |
sample_difference[ p ][ y ][ x ] |
} |
} else if (colorspace_type == 1) { |
for (x = 0; x < slice_pixel_width; x++) { |
sample_difference[ p ][ y ][ x ] |
} |
} |
} |
</pre><a href="#section-4.7-2" class="pilcrow">¶</a>
</div>
<div id="plane-pixel-width">
<section id="section-4.7.1">
<h4 id="name-plane_pixel_width">
<a href="#section-4.7.1" class="section-number selfRef">4.7.1. </a><a href="#name-plane_pixel_width" class="section-name selfRef">plane_pixel_width</a>
</h4>
<p id="section-4.7.1-1"><code>plane_pixel_width[ p ]</code> is the width in <code>Pixels</code> of <code>Plane</code> p of the slice.<a href="#section-4.7.1-1" class="pilcrow">¶</a></p>
<p id="section-4.7.1-2"><code>plane_pixel_width[ 0 ]</code> and <code>plane_pixel_width[ 1 + ( chroma_planes ? 2 : 0 ) ]</code> value is <code>slice_pixel_width</code>.<a href="#section-4.7.1-2" class="pilcrow">¶</a></p>
<p id="section-4.7.1-3">If <code>chroma_planes</code> is set to 1, <code>plane_pixel_width[ 1 ]</code> and <code>plane_pixel_width[ 2 ]</code> value is <code>ceil( slice_pixel_width / (1 << log2_h_chroma_subsample) )</code>.<a href="#section-4.7.1-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="slice-pixel-width">
<section id="section-4.7.2">
<h4 id="name-slice_pixel_width">
<a href="#section-4.7.2" class="section-number selfRef">4.7.2. </a><a href="#name-slice_pixel_width" class="section-name selfRef">slice_pixel_width</a>
</h4>
<p id="section-4.7.2-1"><code>slice_pixel_width</code> is the width in <code>Pixels</code> of the slice.<a href="#section-4.7.2-1" class="pilcrow">¶</a></p>
<p id="section-4.7.2-2">Its value is <code>floor( ( slice_x + slice_width ) * slice_pixel_width / num_h_slices ) - slice_pixel_x</code>.<a href="#section-4.7.2-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="slice-pixel-x">
<section id="section-4.7.3">
<h4 id="name-slice_pixel_x">
<a href="#section-4.7.3" class="section-number selfRef">4.7.3. </a><a href="#name-slice_pixel_x" class="section-name selfRef">slice_pixel_x</a>
</h4>
<p id="section-4.7.3-1"><code>slice_pixel_x</code> is the slice horizontal position in <code>Pixels</code>.<a href="#section-4.7.3-1" class="pilcrow">¶</a></p>
<p id="section-4.7.3-2">Its value is <code>floor( slice_x * frame_pixel_width / num_h_slices )</code>.<a href="#section-4.7.3-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="sample-difference">
<section id="section-4.7.4">
<h4 id="name-sample_difference">
<a href="#section-4.7.4" class="section-number selfRef">4.7.4. </a><a href="#name-sample_difference" class="section-name selfRef">sample_difference</a>
</h4>
<p id="section-4.7.4-1"><code>sample_difference[ p ][ y ][ x ]</code> is the sample difference for <code>Sample</code> at <code>Plane</code> <code>p</code>, y position <code>y</code>, and x position <code>x</code>. The <code>Sample</code> value is computed based on median predictor and context described in <a href="#samples" class="xref">Section 3.2</a>.<a href="#section-4.7.4-1" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
<div id="slice-footer">
<section id="section-4.8">
<h3 id="name-slice-footer">
<a href="#section-4.8" class="section-number selfRef">4.8. </a><a href="#name-slice-footer" class="section-name selfRef">Slice Footer</a>
</h3>
<p id="section-4.8-1">A <code>Slice Footer</code> provides information about slice size and (optionally) parity. The pseudo-code below describes the contents of the <code>Slice Footer</code>.<a href="#section-4.8-1" class="pilcrow">¶</a></p>
<p id="section-4.8-2">Note: <code>Slice Footer</code> is always byte aligned.<a href="#section-4.8-2" class="pilcrow">¶</a></p>
<div id="section-4.8-3">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
SliceFooter( ) { |
slice_size | u(24)
if (ec) { |
error_status | u(8)
slice_crc_parity | u(32)
} |
} |
</pre><a href="#section-4.8-3" class="pilcrow">¶</a>
</div>
<div id="slice-size">
<section id="section-4.8.1">
<h4 id="name-slice_size">
<a href="#section-4.8.1" class="section-number selfRef">4.8.1. </a><a href="#name-slice_size" class="section-name selfRef">slice_size</a>
</h4>
<p id="section-4.8.1-1"><code>slice_size</code> indicates the size of the slice in bytes.<a href="#section-4.8.1-1" class="pilcrow">¶</a></p>
<p id="section-4.8.1-2">Note: this allows finding the start of slices before previous slices have been fully decoded, and allows parallel decoding as well as error resilience.<a href="#section-4.8.1-2" class="pilcrow">¶</a></p>
</section>
</div>
<div id="error-status">
<section id="section-4.8.2">
<h4 id="name-error_status">
<a href="#section-4.8.2" class="section-number selfRef">4.8.2. </a><a href="#name-error_status" class="section-name selfRef">error_status</a>
</h4>
<p id="section-4.8.2-1"><code>error_status</code> specifies the error status.<a href="#section-4.8.2-1" class="pilcrow">¶</a></p>
<table class="center" id="table-17">
<caption><a href="#table-17" class="selfRef">Table 17</a></caption>
<thead>
<tr>
<th class="text-left" rowspan="1" colspan="1">value</th>
<th class="text-left" rowspan="1" colspan="1">error status</th>
</tr>
</thead>
<tbody>
<tr>
<td class="text-left" rowspan="1" colspan="1">0</td>
<td class="text-left" rowspan="1" colspan="1">no error</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">1</td>
<td class="text-left" rowspan="1" colspan="1">slice contains a correctable error</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">2</td>
<td class="text-left" rowspan="1" colspan="1">slice contains a uncorrectable error</td>
</tr>
<tr>
<td class="text-left" rowspan="1" colspan="1">Other</td>
<td class="text-left" rowspan="1" colspan="1">reserved for future use</td>
</tr>
</tbody>
</table>
</section>
</div>
<div id="slice-crc-parity">
<section id="section-4.8.3">
<h4 id="name-slice_crc_parity">
<a href="#section-4.8.3" class="section-number selfRef">4.8.3. </a><a href="#name-slice_crc_parity" class="section-name selfRef">slice_crc_parity</a>
</h4>
<p id="section-4.8.3-1"><code>slice_crc_parity</code> 32 bits that are chosen so that the slice as a whole has a crc remainder of 0.<a href="#section-4.8.3-1" class="pilcrow">¶</a></p>
<p id="section-4.8.3-2">This is equivalent to storing the crc remainder in the 32-bit parity.<a href="#section-4.8.3-2" class="pilcrow">¶</a></p>
<p id="section-4.8.3-3">The CRC generator polynomial used is the standard IEEE CRC polynomial (0x104C11DB7), with initial value 0, without pre-inversion and without post-inversion.<a href="#section-4.8.3-3" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
<div id="quantization-table-set">
<section id="section-4.9">
<h3 id="name-quantization-table-set">
<a href="#section-4.9" class="section-number selfRef">4.9. </a><a href="#name-quantization-table-set" class="section-name selfRef">Quantization Table Set</a>
</h3>
<p id="section-4.9-1">The Quantization Table Sets are stored by storing the number of equal entries -1 of the first half of the table (represented as <code>len - 1</code> in the pseudo-code below) using the method described in <a href="#range-non-binary-values" class="xref">Section 3.8.1.2</a>. The second half doesn't need to be stored as it is identical to the first with flipped sign. <code>scale</code> and <code>len_count[ i ][ j ]</code> are temporary values used for the computing of <code>context_count[ i ]</code> and are not used outside Quantization Table Set pseudo-code.<a href="#section-4.9-1" class="pilcrow">¶</a></p>
<p id="section-4.9-2">Example:<a href="#section-4.9-2" class="pilcrow">¶</a></p>
<p id="section-4.9-3">Table: 0 0 1 1 1 1 2 2 -2 -2 -2 -1 -1 -1 -1 0<a href="#section-4.9-3" class="pilcrow">¶</a></p>
<p id="section-4.9-4">Stored values: 1, 3, 1<a href="#section-4.9-4" class="pilcrow">¶</a></p>
<div id="section-4.9-5">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
QuantizationTableSet( i ) { |
scale = 1 |
for (j = 0; j < MAX_CONTEXT_INPUTS; j++) { |
QuantizationTable( i, j, scale ) |
scale *= 2 * len_count[ i ][ j ] - 1 |
} |
context_count[ i ] = ceil( scale / 2 ) |
} |
</pre><a href="#section-4.9-5" class="pilcrow">¶</a>
</div>
<p id="section-4.9-6">MAX_CONTEXT_INPUTS is 5.<a href="#section-4.9-6" class="pilcrow">¶</a></p>
<div id="section-4.9-7">
<pre class="sourcecode lang-c">pseudo-code | type
--------------------------------------------------------------|-----
QuantizationTable(i, j, scale) { |
v = 0 |
for (k = 0; k < 128;) { |
len - 1 | ur
for (a = 0; a < len; a++) { |
quant_tables[ i ][ j ][ k ] = scale * v |
k++ |
} |
v++ |
} |
for (k = 1; k < 128; k++) { |
quant_tables[ i ][ j ][ 256 - k ] = \ |
-quant_tables[ i ][ j ][ k ] |
} |
quant_tables[ i ][ j ][ 128 ] = \ |
-quant_tables[ i ][ j ][ 127 ] |
len_count[ i ][ j ] = v |
} |
</pre><a href="#section-4.9-7" class="pilcrow">¶</a>
</div>
<div id="quant-tables">
<section id="section-4.9.1">
<h4 id="name-quant_tables">
<a href="#section-4.9.1" class="section-number selfRef">4.9.1. </a><a href="#name-quant_tables" class="section-name selfRef">quant_tables</a>
</h4>
<p id="section-4.9.1-1"><code>quant_tables[ i ][ j ][ k ]</code> indicates the quantification table value of the Quantized Sample Difference <code>k</code> of the Quantization Table <code>j</code> of the Set Quantization Table Set <code>i</code>.<a href="#section-4.9.1-1" class="pilcrow">¶</a></p>
</section>
</div>
<div id="context-count">
<section id="section-4.9.2">
<h4 id="name-context_count">
<a href="#section-4.9.2" class="section-number selfRef">4.9.2. </a><a href="#name-context_count" class="section-name selfRef">context_count</a>
</h4>
<p id="section-4.9.2-1"><code>context_count[ i ]</code> indicates the count of contexts for Quantization Table Set <code>i</code>. <code>context_count[ i ]</code> MUST be less than or equal to 32768.<a href="#section-4.9.2-1" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
</section>
</div>
<div id="restrictions">
<section id="section-5">
<h2 id="name-restrictions">
<a href="#section-5" class="section-number selfRef">5. </a><a href="#name-restrictions" class="section-name selfRef">Restrictions</a>
</h2>
<p id="section-5-1">To ensure that fast multithreaded decoding is possible, starting with version 3 and if <code>frame_pixel_width * frame_pixel_height</code> is more than 101376, <code>slice_width * slice_height</code> MUST be less or equal to <code>num_h_slices * num_v_slices / 4</code>.
Note: 101376 is the frame size in <code>Pixels</code> of a 352x288 frame also known as CIF ("Common Intermediate Format") frame size format.<a href="#section-5-1" class="pilcrow">¶</a></p>
<p id="section-5-2">For each <code>Frame</code>, each position in the slice raster MUST be filled by one and only one slice of the <code>Frame</code> (no missing slice position, no slice overlapping).<a href="#section-5-2" class="pilcrow">¶</a></p>
<p id="section-5-3">For each <code>Frame</code> with keyframe value of 0, each slice MUST have the same value of <code>slice_x, slice_y, slice_width, slice_height</code> as a slice in the previous <code>Frame</code>.<a href="#section-5-3" class="pilcrow">¶</a></p>
</section>
</div>
<div id="security-considerations">
<section id="section-6">
<h2 id="name-security-considerations">
<a href="#section-6" class="section-number selfRef">6. </a><a href="#name-security-considerations" class="section-name selfRef">Security Considerations</a>
</h2>
<p id="section-6-1">Like any other codec, (such as <span>[<a href="#RFC6716" class="xref">RFC6716</a>]</span>), FFV1 should not be used with insecure ciphers or cipher-modes that are vulnerable to known plaintext attacks. Some of the header bits as well as the padding are easily predictable.<a href="#section-6-1" class="pilcrow">¶</a></p>
<p id="section-6-2">Implementations of the FFV1 codec need to take appropriate security considerations into account, as outlined in <span>[<a href="#RFC4732" class="xref">RFC4732</a>]</span>. It is extremely important for the decoder to be robust against malicious payloads. Malicious payloads must not cause the decoder to overrun its allocated memory or to take an excessive amount of resources to decode. The same applies to the encoder, even though problems in encoders are typically rarer. Malicious video streams must not cause the encoder to misbehave because this would allow an attacker to attack transcoding gateways. A frequent security problem in image and video codecs is also to not check for integer overflows in <code>Pixel</code> count computations, that is to allocate width * height without considering that the multiplication result may have overflowed the arithmetic types range.
The range coder could, if implemented naively, read one byte over the end. The implementation must ensure that no read outside allocated and initialized memory occurs.<a href="#section-6-2" class="pilcrow">¶</a></p>
<p id="section-6-3">The reference implementation <span>[<a href="#REFIMPL" class="xref">REFIMPL</a>]</span> contains no known buffer overflow or cases where a specially crafted packet or video segment could cause a significant increase in CPU load.<a href="#section-6-3" class="pilcrow">¶</a></p>
<p id="section-6-4">The reference implementation <span>[<a href="#REFIMPL" class="xref">REFIMPL</a>]</span> was validated in the following conditions:<a href="#section-6-4" class="pilcrow">¶</a></p>
<ul>
<li id="section-6-5.1">
<p id="section-6-5.1.1">Sending the decoder valid packets generated by the reference encoder and verifying that the decoder's output matches the encoder's input.<a href="#section-6-5.1.1" class="pilcrow">¶</a></p>
</li>
<li id="section-6-5.2">
<p id="section-6-5.2.1">Sending the decoder packets generated by the reference encoder and then subjected to random corruption.<a href="#section-6-5.2.1" class="pilcrow">¶</a></p>
</li>
<li id="section-6-5.3">
<p id="section-6-5.3.1">Sending the decoder random packets that are not FFV1.<a href="#section-6-5.3.1" class="pilcrow">¶</a></p>
</li>
</ul>
<p id="section-6-6">In all of the conditions above, the decoder and encoder was run inside the <span>[<a href="#VALGRIND" class="xref">VALGRIND</a>]</span> memory debugger as well as clangs address sanitizer <span>[<a href="#Address-Sanitizer" class="xref">Address-Sanitizer</a>]</span>, which track reads and writes to invalid memory regions as well as the use of uninitialized memory. There were no errors reported on any of the tested conditions.<a href="#section-6-6" class="pilcrow">¶</a></p>
</section>
</div>
<div id="media-type-definition">
<section id="section-7">
<h2 id="name-media-type-definition">
<a href="#section-7" class="section-number selfRef">7. </a><a href="#name-media-type-definition" class="section-name selfRef">Media Type Definition</a>
</h2>
<p id="section-7-1">This registration is done using the template defined in <span>[<a href="#RFC6838" class="xref">RFC6838</a>]</span> and following <span>[<a href="#RFC4855" class="xref">RFC4855</a>]</span>.<a href="#section-7-1" class="pilcrow">¶</a></p>
<p id="section-7-2">Type name: video<a href="#section-7-2" class="pilcrow">¶</a></p>
<p id="section-7-3">Subtype name: FFV1<a href="#section-7-3" class="pilcrow">¶</a></p>
<p id="section-7-4">Required parameters: None.<a href="#section-7-4" class="pilcrow">¶</a></p>
<p id="section-7-5">Optional parameters:<a href="#section-7-5" class="pilcrow">¶</a></p>
<p id="section-7-6">This parameter is used to signal the capabilities of a receiver implementation. This parameter MUST NOT be used for any other purpose.<a href="#section-7-6" class="pilcrow">¶</a></p>
<p id="section-7-7">version: The version of the FFV1 encoding as defined by <a href="#version" class="xref">Section 4.1.1</a>.<a href="#section-7-7" class="pilcrow">¶</a></p>
<p id="section-7-8">micro_version: The micro_version of the FFV1 encoding as defined by <a href="#micro-version" class="xref">Section 4.1.2</a>.<a href="#section-7-8" class="pilcrow">¶</a></p>
<p id="section-7-9">coder_type: The coder_type of the FFV1 encoding as defined by <a href="#coder-type" class="xref">Section 4.1.3</a>.<a href="#section-7-9" class="pilcrow">¶</a></p>
<p id="section-7-10">colorspace_type: The colorspace_type of the FFV1 encoding as defined by <a href="#colorspace-type" class="xref">Section 4.1.5</a>.<a href="#section-7-10" class="pilcrow">¶</a></p>
<p id="section-7-11">bits_per_raw_sample: The bits_per_raw_sample of the FFV1 encoding as defined by <a href="#bits-per-raw-sample" class="xref">Section 4.1.7</a>.<a href="#section-7-11" class="pilcrow">¶</a></p>
<p id="section-7-12">max-slices: The value of max-slices is an integer indicating the maximum count of slices with a frames of the FFV1 encoding.<a href="#section-7-12" class="pilcrow">¶</a></p>
<p id="section-7-13">Encoding considerations:<a href="#section-7-13" class="pilcrow">¶</a></p>
<p id="section-7-14">This media type is defined for encapsulation in several audiovisual container formats and contains binary data; see <a href="#mapping-ffv1-into-containers" class="xref">Section 4.2.3</a>. This media type is framed binary data Section 4.8 of <span>[<a href="#RFC6838" class="xref">RFC6838</a>]</span>.<a href="#section-7-14" class="pilcrow">¶</a></p>
<p id="section-7-15">Security considerations:<a href="#section-7-15" class="pilcrow">¶</a></p>
<p id="section-7-16">See <a href="#security-considerations" class="xref">Section 6</a> of this document.<a href="#section-7-16" class="pilcrow">¶</a></p>
<p id="section-7-17">Interoperability considerations: None.<a href="#section-7-17" class="pilcrow">¶</a></p>
<p id="section-7-18">Published specification:<a href="#section-7-18" class="pilcrow">¶</a></p>
<p id="section-7-19"><span>[<a href="#I-D.ietf-cellar-ffv1" class="xref">I-D.ietf-cellar-ffv1</a>]</span> and RFC XXXX.<a href="#section-7-19" class="pilcrow">¶</a></p>
<p id="section-7-20">[RFC Editor: Upon publication as an RFC, please replace "XXXX" with the number assigned to this document and remove this note.]<a href="#section-7-20" class="pilcrow">¶</a></p>
<p id="section-7-21">Applications which use this media type:<a href="#section-7-21" class="pilcrow">¶</a></p>
<p id="section-7-22">Any application that requires the transport of lossless video can use this media type. Some examples are, but not limited to screen recording, scientific imaging, and digital video preservation.<a href="#section-7-22" class="pilcrow">¶</a></p>
<p id="section-7-23">Fragment identifier considerations: N/A.<a href="#section-7-23" class="pilcrow">¶</a></p>
<p id="section-7-24">Additional information: None.<a href="#section-7-24" class="pilcrow">¶</a></p>
<p id="section-7-25">Person & email address to contact for further information: Michael Niedermayer <a href="mailto:michael@niedermayer.cc">michael@niedermayer.cc</a><a href="#section-7-25" class="pilcrow">¶</a></p>
<p id="section-7-26">Intended usage: COMMON<a href="#section-7-26" class="pilcrow">¶</a></p>
<p id="section-7-27">Restrictions on usage: None.<a href="#section-7-27" class="pilcrow">¶</a></p>
<p id="section-7-28">Author: Dave Rice <a href="mailto:dave@dericed.com">dave@dericed.com</a><a href="#section-7-28" class="pilcrow">¶</a></p>
<p id="section-7-29">Change controller: IETF cellar working group delegated from the IESG.<a href="#section-7-29" class="pilcrow">¶</a></p>
</section>
</div>
<div id="iana-considerations">
<section id="section-8">
<h2 id="name-iana-considerations">
<a href="#section-8" class="section-number selfRef">8. </a><a href="#name-iana-considerations" class="section-name selfRef">IANA Considerations</a>
</h2>
<p id="section-8-1">The IANA is requested to register the following values:<a href="#section-8-1" class="pilcrow">¶</a></p>
<ul>
<li id="section-8-2.1">
<p id="section-8-2.1.1">Media type registration as described in <a href="#media-type-definition" class="xref">Section 7</a>.<a href="#section-8-2.1.1" class="pilcrow">¶</a></p>
</li>
</ul>
</section>
</div>
<div id="appendixes">
<section id="section-9">
<h2 id="name-appendixes">
<a href="#section-9" class="section-number selfRef">9. </a><a href="#name-appendixes" class="section-name selfRef">Appendixes</a>
</h2>
<div id="decoder-implementation-suggestions">
<section id="section-9.1">
<h3 id="name-decoder-implementation-sugg">
<a href="#section-9.1" class="section-number selfRef">9.1. </a><a href="#name-decoder-implementation-sugg" class="section-name selfRef">Decoder implementation suggestions</a>
</h3>
<div id="multi-threading-support-and-independence-of-slices">
<section id="section-9.1.1">
<h4 id="name-multi-threading-support-and">
<a href="#section-9.1.1" class="section-number selfRef">9.1.1. </a><a href="#name-multi-threading-support-and" class="section-name selfRef">Multi-threading Support and Independence of Slices</a>
</h4>
<p id="section-9.1.1-1">The FFV1 bitstream is parsable in two ways: in sequential order as described in this document or with the pre-analysis of the footer of each slice. Each slice footer contains a slice_size field so the boundary of each slice is computable without having to parse the slice content. That allows multi-threading as well as independence of slice content (a bitstream error in a slice header or slice content has no impact on the decoding of the other slices).<a href="#section-9.1.1-1" class="pilcrow">¶</a></p>
<p id="section-9.1.1-2">After having checked keyframe field, a decoder SHOULD parse slice_size fields, from slice_size of the last slice at the end of the <code>Frame</code> up to slice_size of the first slice at the beginning of the <code>Frame</code>, before parsing slices, in order to have slices boundaries. A decoder MAY fallback on sequential order e.g. in case of a corrupted <code>Frame</code> (frame size unknown, slice_size of slices not coherent...) or if there is no possibility of seeking into the stream.<a href="#section-9.1.1-2" class="pilcrow">¶</a></p>
</section>
</div>
</section>
</div>
</section>
</div>
<div id="changelog">
<section id="section-10">
<h2 id="name-changelog">
<a href="#section-10" class="section-number selfRef">10. </a><a href="#name-changelog" class="section-name selfRef">Changelog</a>
</h2>
<p id="section-10-1">See <a href="https://github.com/FFmpeg/FFV1/commits/master">https://github.com/FFmpeg/FFV1/commits/master</a><a href="#section-10-1" class="pilcrow">¶</a></p>
</section>
</div>
<section id="section-11">
<h2 id="name-normative-references">
<a href="#section-11" class="section-number selfRef">11. </a><a href="#name-normative-references" class="section-name selfRef">Normative References</a>
</h2>
<dl class="references">
<dt id="RFC2119">[RFC2119]</dt>
<dd>
<span class="refAuthor">Bradner, S.</span>, <span class="refTitle">"Key words for use in RFCs to Indicate Requirement Levels"</span>, <span class="seriesInfo">BCP 14</span>, <span class="seriesInfo">RFC 2119</span>, <span class="seriesInfo">DOI 10.17487/RFC2119</span>, <time datetime="1997-03">March 1997</time>, <span><<a href="https://www.rfc-editor.org/info/rfc2119">https://www.rfc-editor.org/info/rfc2119</a>></span>. </dd>
<dt id="RFC4732">[RFC4732]</dt>
<dd>
<span class="refAuthor">Handley, M., Ed.</span><span class="refAuthor">, Rescorla, E., Ed.</span><span class="refAuthor">, and IAB</span>, <span class="refTitle">"Internet Denial-of-Service Considerations"</span>, <span class="seriesInfo">RFC 4732</span>, <span class="seriesInfo">DOI 10.17487/RFC4732</span>, <time datetime="2006-12">December 2006</time>, <span><<a href="https://www.rfc-editor.org/info/rfc4732">https://www.rfc-editor.org/info/rfc4732</a>></span>. </dd>
<dt id="I-D.ietf-cellar-ffv1">[I-D.ietf-cellar-ffv1]</dt>
<dd>
<span class="refAuthor">Niedermayer, M.</span><span class="refAuthor">, Rice, D.</span><span class="refAuthor">, and J. Martinez</span>, <span class="refTitle">"FFV1 Video Coding Format Version 0, 1, and 3"</span>, <span class="refContent">Work in Progress</span>, <span class="seriesInfo">Internet-Draft, draft-ietf-cellar-ffv1-11</span>, <time datetime="2019-10-23">23 October 2019</time>, <span><<a href="https://tools.ietf.org/html/draft-ietf-cellar-ffv1-11">https://tools.ietf.org/html/draft-ietf-cellar-ffv1-11</a>></span>. </dd>
<dt id="ISO.15444-1.2016">[ISO.15444-1.2016]</dt>
<dd>
<span class="refAuthor">International Organization for Standardization</span>, <span class="refTitle">"Information technology -- JPEG 2000 image coding system: Core coding system"</span>, <time datetime="2016-10">October 2016</time>. </dd>
<dt id="ISO.9899.1990">[ISO.9899.1990]</dt>
<dd>
<span class="refAuthor">International Organization for Standardization</span>, <span class="refTitle">"Programming languages - C"</span>, <time datetime="1990">1990</time>. </dd>
<dt id="RFC6838">[RFC6838]</dt>
<dd>
<span class="refAuthor">Freed, N.</span><span class="refAuthor">, Klensin, J.</span><span class="refAuthor">, and T. Hansen</span>, <span class="refTitle">"Media Type Specifications and Registration Procedures"</span>, <span class="seriesInfo">BCP 13</span>, <span class="seriesInfo">RFC 6838</span>, <span class="seriesInfo">DOI 10.17487/RFC6838</span>, <time datetime="2013-01">January 2013</time>, <span><<a href="https://www.rfc-editor.org/info/rfc6838">https://www.rfc-editor.org/info/rfc6838</a>></span>. </dd>
<dt id="RFC4855">[RFC4855]</dt>
<dd>
<span class="refAuthor">Casner, S.</span>, <span class="refTitle">"Media Type Registration of RTP Payload Formats"</span>, <span class="seriesInfo">RFC 4855</span>, <span class="seriesInfo">DOI 10.17487/RFC4855</span>, <time datetime="2007-02">February 2007</time>, <span><<a href="https://www.rfc-editor.org/info/rfc4855">https://www.rfc-editor.org/info/rfc4855</a>></span>. </dd>
<dt id="RFC6716">[RFC6716]</dt>
<dd>
<span class="refAuthor">Valin, JM.</span><span class="refAuthor">, Vos, K.</span><span class="refAuthor">, and T. Terriberry</span>, <span class="refTitle">"Definition of the Opus Audio Codec"</span>, <span class="seriesInfo">RFC 6716</span>, <span class="seriesInfo">DOI 10.17487/RFC6716</span>, <time datetime="2012-09">September 2012</time>, <span><<a href="https://www.rfc-editor.org/info/rfc6716">https://www.rfc-editor.org/info/rfc6716</a>></span>. </dd>
<dt id="Matroska">[Matroska]</dt>
<dd>
<span class="refAuthor">IETF</span>, <span class="refTitle">"Matroska"</span>, <time datetime="2019">2019</time>, <span><<a href="https://datatracker.ietf.org/doc/draft-ietf-cellar-matroska/">https://datatracker.ietf.org/doc/draft-ietf-cellar-matroska/</a>></span>. </dd>
<dt id="RFC8174">[RFC8174]</dt>
<dd>
<span class="refAuthor">Leiba, B.</span>, <span class="refTitle">"Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words"</span>, <span class="seriesInfo">BCP 14</span>, <span class="seriesInfo">RFC 8174</span>, <span class="seriesInfo">DOI 10.17487/RFC8174</span>, <time datetime="2017-05">May 2017</time>, <span><<a href="https://www.rfc-editor.org/info/rfc8174">https://www.rfc-editor.org/info/rfc8174</a>></span>. </dd>
<dt id="ISO.9899.2018">[ISO.9899.2018]</dt>
<dd>
<span class="refAuthor">International Organization for Standardization</span>, <span class="refTitle">"Programming languages - C"</span>, <time datetime="2018">2018</time>. </dd>
</dl>
</section>
<section id="section-12">
<h2 id="name-informative-references">
<a href="#section-12" class="section-number selfRef">12. </a><a href="#name-informative-references" class="section-name selfRef">Informative References</a>
</h2>
<dl class="references">
<dt id="FFV1_V1">[FFV1_V1]</dt>
<dd>
<span class="refAuthor">Niedermayer, M.</span>, <span class="refTitle">"Commit to release FFV1 version 1"</span>, <time datetime="2009-04">April 2009</time>, <span><<a href="https://git.videolan.org/?p=ffmpeg.git;a=commit;h=68f8d33becbd73b4d0aa277f472a6e8e72ea6849">https://git.videolan.org/?p=ffmpeg.git;a=commit;h=68f8d33becbd73b4d0aa277f472a6e8e72ea6849</a>></span>. </dd>
<dt id="ISO.14495-1.1999">[ISO.14495-1.1999]</dt>
<dd>
<span class="refAuthor">International Organization for Standardization</span>, <span class="refTitle">"Information technology -- Lossless and near-lossless compression of continuous-tone still images: Baseline"</span>, <time datetime="1999-12">December 1999</time>. </dd>
<dt id="Address-Sanitizer">[Address-Sanitizer]</dt>
<dd>
<span class="refAuthor">The Clang Team</span>, <span class="refTitle">"ASAN AddressSanitizer website"</span>, <time datetime="undated">undated</time>, <span><<a href="https://clang.llvm.org/docs/AddressSanitizer.html">https://clang.llvm.org/docs/AddressSanitizer.html</a>></span>. </dd>
<dt id="AVI">[AVI]</dt>
<dd>
<span class="refAuthor">Microsoft</span>, <span class="refTitle">"AVI RIFF File Reference"</span>, <time datetime="undated">undated</time>, <span><<a href="https://msdn.microsoft.com/en-us/library/windows/desktop/dd318189%28v=vs.85%29.aspx">https://msdn.microsoft.com/en-us/library/windows/desktop/dd318189%28v=vs.85%29.aspx</a>></span>. </dd>
<dt id="HuffYUV">[HuffYUV]</dt>
<dd>
<span class="refAuthor">Rudiak-Gould, B.</span>, <span class="refTitle">"HuffYUV"</span>, <time datetime="2003-12">December 2003</time>, <span><<a href="https://web.archive.org/web/20040402121343/http://cultact-server.novi.dk/kpo/huffyuv/huffyuv.html">https://web.archive.org/web/20040402121343/http://cultact-server.novi.dk/kpo/huffyuv/huffyuv.html</a>></span>. </dd>
<dt id="ISO.14496-10.2014">[ISO.14496-10.2014]</dt>
<dd>
<span class="refAuthor">International Organization for Standardization</span>, <span class="refTitle">"Information technology -- Coding of audio-visual objects -- Part 10: Advanced Video Coding"</span>, <time datetime="2014-09">September 2014</time>. </dd>
<dt id="FFV1_V0">[FFV1_V0]</dt>
<dd>
<span class="refAuthor">Niedermayer, M.</span>, <span class="refTitle">"Commit to mark FFV1 version 0 as non-experimental"</span>, <time datetime="2006-04">April 2006</time>, <span><<a href="https://git.videolan.org/?p=ffmpeg.git;a=commit;h=b548f2b91b701e1235608ac882ea6df915167c7e">https://git.videolan.org/?p=ffmpeg.git;a=commit;h=b548f2b91b701e1235608ac882ea6df915167c7e</a>></span>. </dd>
<dt id="FFV1_V3">[FFV1_V3]</dt>
<dd>
<span class="refAuthor">Niedermayer, M.</span>, <span class="refTitle">"Commit to mark FFV1 version 3 as non-experimental"</span>, <time datetime="2013-08">August 2013</time>, <span><<a href="https://git.videolan.org/?p=ffmpeg.git;a=commit;h=abe76b851c05eea8743f6c899cbe5f7409b0f301">https://git.videolan.org/?p=ffmpeg.git;a=commit;h=abe76b851c05eea8743f6c899cbe5f7409b0f301</a>></span>. </dd>
<dt id="VALGRIND">[VALGRIND]</dt>
<dd>
<span class="refAuthor">Valgrind Developers</span>, <span class="refTitle">"Valgrind website"</span>, <time datetime="undated">undated</time>, <span><<a href="https://valgrind.org/">https://valgrind.org/</a>></span>. </dd>
<dt id="REFIMPL">[REFIMPL]</dt>
<dd>
<span class="refAuthor">Niedermayer, M.</span>, <span class="refTitle">"The reference FFV1 implementation / the FFV1 codec in FFmpeg"</span>, <time datetime="undated">undated</time>, <span><<a href="https://ffmpeg.org">https://ffmpeg.org</a>></span>. </dd>
<dt id="ISO.14496-12.2015">[ISO.14496-12.2015]</dt>
<dd>
<span class="refAuthor">International Organization for Standardization</span>, <span class="refTitle">"Information technology -- Coding of audio-visual objects -- Part 12: ISO base media file format"</span>, <time datetime="2015-12">December 2015</time>. </dd>
<dt id="range-coding">[range-coding]</dt>
<dd>
<span class="refAuthor">Nigel, G.</span><span class="refAuthor"> and N. Martin</span>, <span class="refTitle">"Range encoding: an algorithm for removing redundancy from a digitised message."</span>, <time datetime="1979-07">July 1979</time>. </dd>
<dt id="YCbCr">[YCbCr]</dt>
<dd>
<span class="refAuthor">Wikipedia</span>, <span class="refTitle">"YCbCr"</span>, <time datetime="undated">undated</time>, <span><<a href="https://en.wikipedia.org/w/index.php?title=YCbCr">https://en.wikipedia.org/w/index.php?title=YCbCr</a>></span>. </dd>
<dt id="NUT">[NUT]</dt>
<dd>
<span class="refAuthor">Niedermayer, M.</span>, <span class="refTitle">"NUT Open Container Format"</span>, <time datetime="2013-12">December 2013</time>, <span><<a href="https://ffmpeg.org/~michael/nut.txt">https://ffmpeg.org/~michael/nut.txt</a>></span>. </dd>
</dl>
</section>
<div id="authors-addresses">
<section id="section-appendix.a">
<h2 id="name-authors-addresses">
<a href="#name-authors-addresses" class="section-name selfRef">Authors' Addresses</a>
</h2>
<address class="vcard">
<div dir="auto" class="left"><span class="fn nameRole">Michael Niedermayer</span></div>
<div class="email">
<span>Email:</span>
<a href="mailto:michael@niedermayer.cc" class="email">michael@niedermayer.cc</a>
</div>
</address>
<address class="vcard">
<div dir="auto" class="left"><span class="fn nameRole">Dave Rice</span></div>
<div class="email">
<span>Email:</span>
<a href="mailto:dave@dericed.com" class="email">dave@dericed.com</a>
</div>
</address>
<address class="vcard">
<div dir="auto" class="left"><span class="fn nameRole">Jerome Martinez</span></div>
<div class="email">
<span>Email:</span>
<a href="mailto:jerome@mediaarea.net" class="email">jerome@mediaarea.net</a>
</div>
</address>
</section>
</div>
<script>var toc = document.getElementById("toc");
var tocToggle = toc.querySelector("h2");
var tocNav = toc.querySelector("nav");
// mobile menu toggle
tocToggle.onclick = function(event) {
if (window.innerWidth < 1024) {
var tocNavDisplay = tocNav.currentStyle ? tocNav.currentStyle.display : getComputedStyle(tocNav, null).display;
if (tocNavDisplay == "none") {
tocNav.style.display = "block";
} else {
tocNav.style.display = "none";
}
}
}
// toc anchor scroll to anchor
tocNav.addEventListener("click", function (event) {
event.preventDefault();
if (event.target.nodeName == 'A') {
if (window.innerWidth < 1024) {
tocNav.style.display = "none";
}
var href = event.target.getAttribute("href");
var anchorId = href.substr(1);
var anchor = document.getElementById(anchorId);
anchor.scrollIntoView(true);
window.history.pushState("","",href);
}
});
// switch toc mode when window resized
window.onresize = function () {
if (window.innerWidth < 1024) {
tocNav.style.display = "none";
} else {
tocNav.style.display = "block";
}
}
</script>
</body>
</html>
