diff options
Diffstat (limited to 'articles/erlang-validate-utf8/index.html')
-rw-r--r-- | articles/erlang-validate-utf8/index.html | 474 |
1 files changed, 263 insertions, 211 deletions
diff --git a/articles/erlang-validate-utf8/index.html b/articles/erlang-validate-utf8/index.html index a96aba26..3eceb840 100644 --- a/articles/erlang-validate-utf8/index.html +++ b/articles/erlang-validate-utf8/index.html @@ -7,7 +7,7 @@ <meta name="description" content=""> <meta name="author" content="Loïc Hoguin based on a design from (Soft10) Pol Cámara"> - <meta name="generator" content="Hugo 0.17" /> + <meta name="generator" content="Hugo 0.26" /> <title>Nine Nines: Validating UTF-8 binaries with Erlang</title> @@ -74,191 +74,191 @@ </p> </header> -<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 3.1.8
-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 <[email protected]></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">&</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"><<</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">>></span> type<span style="color: #990000">)</span> <span style="color: #990000">&</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 3.1.8
-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"><<>></span>, <span style="color: #009900">State</span>) <span style="color: #990000">-></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: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">>></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">128</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">194</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">224</span> <span style="color: #990000">-></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"><<</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">>></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: #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"><<</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">>></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">225</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">237</span> <span style="color: #990000">-></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"><<</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">>></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: #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"><<</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">>></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">-></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"><<</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">>></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: #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"><<</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">>></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">-></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"><<</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">>></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: #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">-></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’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 3.1.8
-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"><<>></span>, <span style="color: #009900">State</span>) <span style="color: #990000">-></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">-></span> <span style="color: #993399">1</span>;
-<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000"><<</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">>></span>, <span style="color: #009900">State</span>) <span style="color: #990000">-></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 3.1.8
-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">></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(<< ~p, Rest/bits >>, ~p) -> ~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"><-</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"><-</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 3.1.8
-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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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 3.1.8
-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"><<</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">>></span>, <span style="color: #993399">2</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">3</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">5</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">6</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">7</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">2</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">3</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">5</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">6</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">7</span>) <span style="color: #990000">-></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 3.1.8
-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"><<</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">>></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">128</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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>
+<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 3.1.8 +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 <[email protected]></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">&</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"><<</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">>></span> type<span style="color: #990000">)</span> <span style="color: #990000">&</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 3.1.8 +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"><<>></span>, <span style="color: #009900">State</span>) <span style="color: #990000">-></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: #009900">C</span>, <span style="color: #009900">Rest</span><span style="color: #990000">/</span><span style="color: #FF6600">bits</span> <span style="color: #990000">>></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">128</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">128</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">144</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">160</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">192</span> <span style="color: #990000">-></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"><<</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">>></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">194</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">224</span> <span style="color: #990000">-></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"><<</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">>></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: #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"><<</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">>></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">225</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">237</span> <span style="color: #990000">-></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"><<</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">>></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: #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"><<</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">>></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">-></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"><<</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">>></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: #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"><<</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">>></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">-></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"><<</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">>></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: #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">-></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’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 3.1.8 +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"><<>></span>, <span style="color: #009900">State</span>) <span style="color: #990000">-></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">-></span> <span style="color: #993399">1</span>; +<span style="font-weight: bold"><span style="color: #000000">validate_utf8</span></span>(<span style="color: #990000"><<</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">>></span>, <span style="color: #009900">State</span>) <span style="color: #990000">-></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 3.1.8 +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">></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(<< ~p, Rest/bits >>, ~p) -> ~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"><-</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"><-</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 3.1.8 +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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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"><<</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">>></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: #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 3.1.8 +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"><<</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">>></span>, <span style="color: #993399">2</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">3</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">5</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">6</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">7</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">2</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">3</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">5</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">6</span>) <span style="color: #990000">-></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"><<</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">>></span>, <span style="color: #993399">7</span>) <span style="color: #990000">-></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 3.1.8 +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"><<</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">>></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">128</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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"><<</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">>></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">>=</span> <span style="color: #993399">144</span>, <span style="color: #009900">C</span> <span style="color: #990000"><</span> <span style="color: #993399">160</span> <span style="color: #990000">-></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> </article> </div> @@ -267,55 +267,107 @@ http://www.gnu.org/software/src-highlite --> <h3>More articles</h3> <ul id="articles-nav" class="extra_margin"> - <li><a href="https://ninenines.eu/articles/cowboy-2.0.0-rc.2/">Cowboy 2.0 release candidate 2</a></li> + + <li><a href="https://ninenines.eu/articles/cowboy-2.0.0-rc.2/">Cowboy 2.0 release candidate 2</a></li> + + + + <li><a href="https://ninenines.eu/articles/cowboy-2.0.0-rc.1/">Cowboy 2.0 release candidate 1</a></li> + - <li><a href="https://ninenines.eu/articles/cowboy-2.0.0-rc.1/">Cowboy 2.0 release candidate 1</a></li> + + <li><a href="https://ninenines.eu/articles/the-elephant-in-the-room/">The elephant in the room</a></li> + - <li><a href="https://ninenines.eu/articles/the-elephant-in-the-room/">The elephant in the room</a></li> + + <li><a 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