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    <title>Nine Nines: Validating UTF-8 binaries with Erlang</title>

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<header>
	<h1 class="lined-header"><span>Validating UTF-8 binaries with Erlang</span></h1>
	<p class="date">
		<span class="day">06</span>
		<span class="month">Mar</span>
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<div class="paragraph"><p>Yesterday I pushed Websocket permessage-deflate to
Cowboy master. I also pushed
<a href="https://github.com/ninenines/cowlib/commit/7e4983b70ddf8cedb967e36fba6a600731bdad5d">a
change in the way the code validates UTF-8 data</a>
(required for text and close frames as per the spec).</p></div>
<div class="paragraph"><p>When looking into why the permessage-deflate tests
in autobahntestsuite were taking such a long time, I
found that autobahn is using an adaptation of the
algorithm named <a href="http://bjoern.hoehrmann.de/utf-8/decoder/dfa/">Flexible
and Economical UTF-8 Decoder</a>. This is the C99
implementation:</p></div>
<div class="listingblock">
<div class="content"><!-- Generator: GNU source-highlight
by Lorenzo Bettini
http://www.lorenzobettini.it
http://www.gnu.org/software/src-highlite -->
<pre><tt><span style="font-style: italic"><span style="color: #9A1900">// Copyright (c) 2008-2009 Bjoern Hoehrmann &lt;[email protected]&gt;</span></span>
<span style="font-style: italic"><span style="color: #9A1900">// See http://bjoern.hoehrmann.de/utf-8/decoder/dfa/ for details.</span></span>

<span style="font-weight: bold"><span style="color: #000080">#define</span></span> UTF8_ACCEPT <span style="color: #993399">0</span>
<span style="font-weight: bold"><span style="color: #000080">#define</span></span> UTF8_REJECT <span style="color: #993399">1</span>

<span style="font-weight: bold"><span style="color: #0000FF">static</span></span> <span style="font-weight: bold"><span style="color: #0000FF">const</span></span> <span style="color: #008080">uint8_t</span> utf8d<span style="color: #990000">[]</span> <span style="color: #990000">=</span> <span style="color: #FF0000">{</span>
  <span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// 00..1f</span></span>
  <span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// 20..3f</span></span>
  <span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// 40..5f</span></span>
  <span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// 60..7f</span></span>
  <span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span><span style="color: #993399">9</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// 80..9f</span></span>
  <span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span><span style="color: #993399">7</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// a0..bf</span></span>
  <span style="color: #993399">8</span><span style="color: #990000">,</span><span style="color: #993399">8</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// c0..df</span></span>
  <span style="color: #993399">0xa</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x4</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// e0..ef</span></span>
  <span style="color: #993399">0xb</span><span style="color: #990000">,</span><span style="color: #993399">0x6</span><span style="color: #990000">,</span><span style="color: #993399">0x6</span><span style="color: #990000">,</span><span style="color: #993399">0x6</span><span style="color: #990000">,</span><span style="color: #993399">0x5</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// f0..ff</span></span>
  <span style="color: #993399">0x0</span><span style="color: #990000">,</span><span style="color: #993399">0x1</span><span style="color: #990000">,</span><span style="color: #993399">0x2</span><span style="color: #990000">,</span><span style="color: #993399">0x3</span><span style="color: #990000">,</span><span style="color: #993399">0x5</span><span style="color: #990000">,</span><span style="color: #993399">0x8</span><span style="color: #990000">,</span><span style="color: #993399">0x7</span><span style="color: #990000">,</span><span style="color: #993399">0x1</span><span style="color: #990000">,</span><span style="color: #993399">0x1</span><span style="color: #990000">,</span><span style="color: #993399">0x1</span><span style="color: #990000">,</span><span style="color: #993399">0x4</span><span style="color: #990000">,</span><span style="color: #993399">0x6</span><span style="color: #990000">,</span><span style="color: #993399">0x1</span><span style="color: #990000">,</span><span style="color: #993399">0x1</span><span style="color: #990000">,</span><span style="color: #993399">0x1</span><span style="color: #990000">,</span><span style="color: #993399">0x1</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// s0..s0</span></span>
  <span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">0</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// s1..s2</span></span>
  <span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// s3..s4</span></span>
  <span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">2</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">3</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">3</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// s5..s6</span></span>
  <span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">3</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">3</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">3</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">3</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span><span style="color: #993399">1</span><span style="color: #990000">,</span> <span style="font-style: italic"><span style="color: #9A1900">// s7..s8</span></span>
<span style="color: #FF0000">}</span><span style="color: #990000">;</span>

uint32_t inline
<span style="font-weight: bold"><span style="color: #000000">decode</span></span><span style="color: #990000">(</span>uint32_t<span style="color: #990000">*</span> state<span style="color: #990000">,</span> uint32_t<span style="color: #990000">*</span> codep<span style="color: #990000">,</span> <span style="color: #008080">uint32_t</span> byte<span style="color: #990000">)</span> <span style="color: #FF0000">{</span>
  <span style="color: #008080">uint32_t</span> type <span style="color: #990000">=</span> utf8d<span style="color: #990000">[</span>byte<span style="color: #990000">];</span>

  <span style="color: #990000">*</span>codep <span style="color: #990000">=</span> <span style="color: #990000">(*</span>state <span style="color: #990000">!=</span> UTF8_ACCEPT<span style="color: #990000">)</span> <span style="color: #990000">?</span>
    <span style="color: #990000">(</span>byte <span style="color: #990000">&amp;</span> <span style="color: #993399">0x3fu</span><span style="color: #990000">)</span> <span style="color: #990000">|</span> <span style="color: #990000">(*</span>codep <span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">6</span><span style="color: #990000">)</span> <span style="color: #990000">:</span>
    <span style="color: #990000">(</span><span style="color: #993399">0xff</span> <span style="color: #990000">&gt;&gt;</span> type<span style="color: #990000">)</span> <span style="color: #990000">&amp;</span> <span style="color: #990000">(</span>byte<span style="color: #990000">);</span>

  <span style="color: #990000">*</span>state <span style="color: #990000">=</span> utf8d<span style="color: #990000">[</span><span style="color: #993399">256</span> <span style="color: #990000">+</span> <span style="color: #990000">*</span>state<span style="color: #990000">*</span><span style="color: #993399">16</span> <span style="color: #990000">+</span> type<span style="color: #990000">];</span>
  <span style="font-weight: bold"><span style="color: #0000FF">return</span></span> <span style="color: #990000">*</span>state<span style="color: #990000">;</span>
<span style="color: #FF0000">}</span></tt></pre></div></div>
<div class="paragraph"><p>And this is the Erlang implementation I came up with:</p></div>
<div class="listingblock">
<div class="content"><!-- Generator: GNU source-highlight
by Lorenzo Bettini
http://www.lorenzobettini.it
http://www.gnu.org/software/src-highlite -->
<pre><tt><span style="font-style: italic"><span style="color: #9A1900">%% This function returns 0 on success, 1 on error, and 2..8 on incomplete data.</span></span>
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;&gt;&gt;</span>, <span style="color: #009900">State</span>) <span style="color: #990000">-&gt;</span> <span style="color: #009900">State</span>;
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">128</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">2</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">144</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">3</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">144</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">5</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">144</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">7</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">144</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">8</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">144</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">2</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">3</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">5</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">6</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">7</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">2</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">192</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">3</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">192</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">4</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">192</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">6</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">192</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">7</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">192</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">194</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">224</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">224</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">4</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">225</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">237</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">237</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">5</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">=:=</span> <span style="color: #993399">238</span>; <span style="color: #009900">C</span> <span style="color: #990000">=:=</span> <span style="color: #993399">239</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">240</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">6</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">=:=</span> <span style="color: #993399">241</span>; <span style="color: #009900">C</span> <span style="color: #990000">=:=</span> <span style="color: #993399">242</span>; <span style="color: #009900">C</span> <span style="color: #990000">=:=</span> <span style="color: #993399">243</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">7</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">244</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">8</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">_</span>, <span style="color: #990000">_</span>) <span style="color: #990000">-&gt;</span> <span style="color: #993399">1</span><span style="color: #990000">.</span></tt></pre></div></div>
<div class="paragraph"><p>Does it look similar to you? So how did we get there?</p></div>
<div class="paragraph"><p>I started with a naive implementation of the original. First, we
don&#8217;t need the codepoint calculated and extracted for our validation
function. We just want to know the data is valid, so we only need to
calculate the next state. Then, the only thing we needed to be careful
about was that tuples are 1-based, and that we need to stop processing
the binary when we get the state 1 or when the binary is empty.</p></div>
<div class="listingblock">
<div class="content"><!-- Generator: GNU source-highlight
by Lorenzo Bettini
http://www.lorenzobettini.it
http://www.gnu.org/software/src-highlite -->
<pre><tt><span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;&gt;&gt;</span>, <span style="color: #009900">State</span>) <span style="color: #990000">-&gt;</span> <span style="color: #009900">State</span>;
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">_</span>, <span style="color: #993399">1</span>) <span style="color: #990000">-&gt;</span> <span style="color: #993399">1</span>;
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #009900">State</span>) <span style="color: #990000">-&gt;</span>
        <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="font-weight: bold"><span style="color: #000080">element</span></span>(<span style="color: #993399">257</span> <span style="color: #990000">+</span> <span style="color: #009900">State</span> <span style="color: #990000">*</span> <span style="color: #993399">16</span> <span style="color: #990000">+</span> <span style="font-weight: bold"><span style="color: #000080">element</span></span>(<span style="color: #993399">1</span> <span style="color: #990000">+</span> <span style="color: #009900">C</span>, <span style="font-weight: bold"><span style="color: #000080">?UTF8D</span></span>), <span style="font-weight: bold"><span style="color: #000080">?UTF8D</span></span>))<span style="color: #990000">.</span></tt></pre></div></div>
<div class="paragraph"><p>The macro <code>?UTF8D</code> is the tuple equivalent of the C array
in the original code.</p></div>
<div class="paragraph"><p>Compared to our previous algorithm, this performed about the same.
In some situations a little faster, in some a little slower. In other words,
not good enough. But because this new algorithm allows us to avoid a binary
concatenation this warranted looking further.</p></div>
<div class="paragraph"><p>It was time to step into crazy land.</p></div>
<div class="paragraph"><p>Erlang is very good at pattern matching, even more so than doing some
arithmetic coupled by fetching elements from a tuple. So I decided I was
going to write all possible clauses for all combinations of <code>C</code>
and <code>State</code>. And by write I mean generate.</p></div>
<div class="paragraph"><p>So I opened my Erlang shell, defined the variable <code>D</code> to be
the tuple <code>?UTF8D</code> with its 400 elements, and then ran the
following expression (after a bit of trial and error):</p></div>
<div class="listingblock">
<div class="content"><!-- Generator: GNU source-highlight
by Lorenzo Bettini
http://www.lorenzobettini.it
http://www.gnu.org/software/src-highlite -->
<pre><tt><span style="color: #993399">16</span><span style="color: #990000">&gt;</span> <span style="font-weight: bold"><span style="color: #000000">file:write_file</span></span>(<span style="color: #FF0000">"out.txt"</span>,
        [<span style="font-weight: bold"><span style="color: #000000">io_lib:format</span></span>(<span style="color: #FF0000">"validate_utf8(&lt;&lt; ~p, Rest/bits &gt;&gt;, ~p) -&gt; ~p;~n"</span>,
                [<span style="color: #009900">C</span>, <span style="color: #009900">S</span>, <span style="font-weight: bold"><span style="color: #000080">element</span></span>(<span style="color: #993399">257</span> <span style="color: #990000">+</span> <span style="color: #009900">S</span> <span style="color: #990000">*</span> <span style="color: #993399">16</span> <span style="color: #990000">+</span> <span style="font-weight: bold"><span style="color: #000080">element</span></span>(<span style="color: #993399">1</span> <span style="color: #990000">+</span> <span style="color: #009900">C</span>, <span style="color: #009900">D</span>), <span style="color: #009900">D</span>)])
                        || <span style="color: #009900">C</span> <span style="color: #990000">&lt;-</span> <span style="font-weight: bold"><span style="color: #000000">lists:seq</span></span>(<span style="color: #993399">0</span>,<span style="color: #993399">255</span>), <span style="color: #009900">S</span> <span style="color: #990000">&lt;-</span> <span style="font-weight: bold"><span style="color: #000000">lists:seq</span></span>(<span style="color: #993399">0</span>,<span style="color: #993399">8</span>)])<span style="color: #990000">.</span>
<span style="color: #FF6600">ok</span></tt></pre></div></div>
<div class="paragraph"><p>The result is a 2304 lines long file, containing 2304 clauses.
People who pay attention to what I say on Twitter will remember
I said something around 3000 clauses, but that was just me not
using the right number of states in my estimate.</p></div>
<div class="paragraph"><p>There was a little more work to be done on this generated
code that I did using regular expressions. We need to recurse
when the resulting state is not 1. We also need to stop when
the binary is empty, making it the 2305th clause.</p></div>
<div class="paragraph"><p>Still, 2305 is a lot. But hey, the code did work, and faster
than the previous implementation too! But hey, perhaps I could
find a way to reduce its size.</p></div>
<div class="paragraph"><p>Removing all the clauses that return 1 and putting a catch-all
clause at the end instead reduced the number to about 500, and
showed that many clauses were similar:</p></div>
<div class="listingblock">
<div class="content"><!-- Generator: GNU source-highlight
by Lorenzo Bettini
http://www.lorenzobettini.it
http://www.gnu.org/software/src-highlite -->
<pre><tt><span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">0</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">1</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">2</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">3</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">4</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">5</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">6</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">7</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);</tt></pre></div></div>
<div class="paragraph"><p>But also:</p></div>
<div class="listingblock">
<div class="content"><!-- Generator: GNU source-highlight
by Lorenzo Bettini
http://www.lorenzobettini.it
http://www.gnu.org/software/src-highlite -->
<pre><tt><span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">157</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">2</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">157</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">3</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">157</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">5</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">157</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">6</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">157</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">7</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">158</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">2</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">158</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">3</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">158</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">5</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">158</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">6</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #993399">158</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">7</span>) <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);</tt></pre></div></div>
<div class="paragraph"><p>Patterns, my favorites!</p></div>
<div class="paragraph"><p>A little more time was spent to edit the 500 or so clauses into
smaller equivalents, testing that performance was not impacted, and
comitting the result.</p></div>
<div class="paragraph"><p>The patterns above can be found here in the resulting function:</p></div>
<div class="listingblock">
<div class="content"><!-- Generator: GNU source-highlight
by Lorenzo Bettini
http://www.lorenzobettini.it
http://www.gnu.org/software/src-highlite -->
<pre><tt><span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">0</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">128</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="color: #990000">...</span>
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">2</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">0</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">3</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">5</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">2</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">6</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000">&lt;&lt;</span> <span style="color: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">&gt;&gt;</span>, <span style="color: #993399">7</span>) <span style="font-weight: bold"><span style="color: #0000FF">when</span></span> <span style="color: #009900">C</span> <span style="color: #990000">&gt;=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000">&lt;</span> <span style="color: #993399">160</span> <span style="color: #990000">-&gt;</span> <span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #009900">Rest</span>, <span style="color: #993399">3</span>);
<span style="color: #990000">...</span></tt></pre></div></div>
<div class="paragraph"><p>I hope you enjoyed this post.</p></div>

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