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diff --git a/docs/_site/artwork/draco3d-vert.svg b/docs/_site/artwork/draco3d-vert.svg
deleted file mode 100644
index 3a443af..0000000
--- a/docs/_site/artwork/draco3d-vert.svg
+++ /dev/null
@@ -1,374 +0,0 @@
-
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diff --git a/docs/_site/assets/css/pygments/README.md b/docs/_site/assets/css/pygments/README.md
deleted file mode 100644
index 83c205a..0000000
--- a/docs/_site/assets/css/pygments/README.md
+++ /dev/null
@@ -1,23 +0,0 @@
-# jekyll-pygments-themes
-
-A set of CSS theme files for Pygments (Python-based code highlighting tool)
-created from the original built-in Pygments styles, ready for use with Jekyll.
-
-## Theme Previews and Custom Theme Builder
--
-
-## Using Themes Without Jekyll
-If you want to use the themes with something other than Jekyll, you may need to
-remove or change the CSS style prefix of `.highlight`.
-
-## Links
-
-- [Jekyll](http://jekyllrb.com/) ([direct link to code highlighting documentation](http://jekyllrb.com/docs/templates/#code-snippet-highlighting))
-- [Pygments](http://pygments.org)
-
-## Hacking
-
-If you want to hack on the site, check out the [gh-pages](https://github.com/jwarby/jekyll-pygments-themes/tree/gh-pages) branch.
-
-## Acknowledgements
-Forked from [richleland/pygments-css](https://github.com/richleland/pygments-css).
diff --git a/docs/_site/assets/css/pygments/UNLICENSE.txt b/docs/_site/assets/css/pygments/UNLICENSE.txt
deleted file mode 100644
index cf1ab25..0000000
--- a/docs/_site/assets/css/pygments/UNLICENSE.txt
+++ /dev/null
@@ -1,24 +0,0 @@
-This is free and unencumbered software released into the public domain.
-
-Anyone is free to copy, modify, publish, use, compile, sell, or
-distribute this software, either in source code form or as a compiled
-binary, for any purpose, commercial or non-commercial, and by any
-means.
-
-In jurisdictions that recognize copyright laws, the author or authors
-of this software dedicate any and all copyright interest in the
-software to the public domain. We make this dedication for the benefit
-of the public at large and to the detriment of our heirs and
-successors. We intend this dedication to be an overt act of
-relinquishment in perpetuity of all present and future rights to this
-software under copyright law.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
-MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
-IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR
-OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
-ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
-OTHER DEALINGS IN THE SOFTWARE.
-
-For more information, please refer to
diff --git a/docs/_site/assets/css/pygments/autumn.css b/docs/_site/assets/css/pygments/autumn.css
deleted file mode 100644
index a5f3d4c..0000000
--- a/docs/_site/assets/css/pygments/autumn.css
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deleted file mode 100644
index 5c45e67..0000000
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diff --git a/docs/_site/assets/css/pygments/index.html b/docs/_site/assets/css/pygments/index.html
deleted file mode 100644
index 4d692ed..0000000
--- a/docs/_site/assets/css/pygments/index.html
+++ /dev/null
@@ -1,27 +0,0 @@
-jekyll-pygments-themes
-
-A set of CSS theme files for Pygments (Python-based code highlighting tool)
-created from the original built-in Pygments styles, ready for use with Jekyll.
-
-Theme Previews and Custom Theme Builder
-
-
-Using Themes Without Jekyll
-If you want to use the themes with something other than Jekyll, you may need to
-remove or change the CSS style prefix of .highlight.
-
-Links
-
-
-
-Hacking
-
-If you want to hack on the site, check out the gh-pages branch.
-
-Acknowledgements
-Forked from richleland/pygments-css .
diff --git a/docs/_site/assets/css/pygments/manni.css b/docs/_site/assets/css/pygments/manni.css
deleted file mode 100644
index d5bc47e..0000000
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deleted file mode 100644
index 5ce9493..0000000
--- a/docs/_site/assets/css/pygments/monokai.css
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deleted file mode 100644
index 482d46b..0000000
--- a/docs/_site/assets/css/pygments/murphy.css
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diff --git a/docs/_site/assets/css/pygments/native.css b/docs/_site/assets/css/pygments/native.css
deleted file mode 100644
index eac4a78..0000000
--- a/docs/_site/assets/css/pygments/native.css
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-.highlight .sh { color: #cd0000 } /* Literal.String.Heredoc */
-.highlight .si { color: #cd0000 } /* Literal.String.Interpol */
-.highlight .sx { color: #cd0000 } /* Literal.String.Other */
-.highlight .sr { color: #cd0000 } /* Literal.String.Regex */
-.highlight .s1 { color: #cd0000 } /* Literal.String.Single */
-.highlight .ss { color: #cd0000 } /* Literal.String.Symbol */
-.highlight .bp { color: #cd00cd } /* Name.Builtin.Pseudo */
-.highlight .vc { color: #00cdcd } /* Name.Variable.Class */
-.highlight .vg { color: #00cdcd } /* Name.Variable.Global */
-.highlight .vi { color: #00cdcd } /* Name.Variable.Instance */
-.highlight .il { color: #cd00cd } /* Literal.Number.Integer.Long */
diff --git a/docs/_site/assets/css/pygments/vs.css b/docs/_site/assets/css/pygments/vs.css
deleted file mode 100644
index e1e55d8..0000000
--- a/docs/_site/assets/css/pygments/vs.css
+++ /dev/null
@@ -1,33 +0,0 @@
-.highlight .hll { background-color: #ffffcc }
-.highlight .c { color: #008000 } /* Comment */
-.highlight .err { border: 1px solid #FF0000 } /* Error */
-.highlight .k { color: #0000ff } /* Keyword */
-.highlight .cm { color: #008000 } /* Comment.Multiline */
-.highlight .cp { color: #0000ff } /* Comment.Preproc */
-.highlight .c1 { color: #008000 } /* Comment.Single */
-.highlight .cs { color: #008000 } /* Comment.Special */
-.highlight .ge { font-style: italic } /* Generic.Emph */
-.highlight .gh { font-weight: bold } /* Generic.Heading */
-.highlight .gp { font-weight: bold } /* Generic.Prompt */
-.highlight .gs { font-weight: bold } /* Generic.Strong */
-.highlight .gu { font-weight: bold } /* Generic.Subheading */
-.highlight .kc { color: #0000ff } /* Keyword.Constant */
-.highlight .kd { color: #0000ff } /* Keyword.Declaration */
-.highlight .kn { color: #0000ff } /* Keyword.Namespace */
-.highlight .kp { color: #0000ff } /* Keyword.Pseudo */
-.highlight .kr { color: #0000ff } /* Keyword.Reserved */
-.highlight .kt { color: #2b91af } /* Keyword.Type */
-.highlight .s { color: #a31515 } /* Literal.String */
-.highlight .nc { color: #2b91af } /* Name.Class */
-.highlight .ow { color: #0000ff } /* Operator.Word */
-.highlight .sb { color: #a31515 } /* Literal.String.Backtick */
-.highlight .sc { color: #a31515 } /* Literal.String.Char */
-.highlight .sd { color: #a31515 } /* Literal.String.Doc */
-.highlight .s2 { color: #a31515 } /* Literal.String.Double */
-.highlight .se { color: #a31515 } /* Literal.String.Escape */
-.highlight .sh { color: #a31515 } /* Literal.String.Heredoc */
-.highlight .si { color: #a31515 } /* Literal.String.Interpol */
-.highlight .sx { color: #a31515 } /* Literal.String.Other */
-.highlight .sr { color: #a31515 } /* Literal.String.Regex */
-.highlight .s1 { color: #a31515 } /* Literal.String.Single */
-.highlight .ss { color: #a31515 } /* Literal.String.Symbol */
diff --git a/docs/_site/assets/css/pygments/zenburn.css b/docs/_site/assets/css/pygments/zenburn.css
deleted file mode 100644
index 287591d..0000000
--- a/docs/_site/assets/css/pygments/zenburn.css
+++ /dev/null
@@ -1,136 +0,0 @@
-.highlight code, .highlight pre {
-color:#fdce93;
-background-color:#3f3f3f;
-}
-
-.highlight .hll {
-background-color:#222;
-}
-
-.highlight .err {
-color:#e37170;
-background-color:#3d3535;
-}
-
-.highlight .k {
-color:#f0dfaf;
-}
-
-.highlight .p {
-color:#41706f;
-}
-
-.highlight .cs {
-color:#cd0000;
-font-weight:700;
-}
-
-.highlight .gd {
-color:#cd0000;
-}
-
-.highlight .ge {
-color:#ccc;
-font-style:italic;
-}
-
-.highlight .gr {
-color:red;
-}
-
-.highlight .go {
-color:gray;
-}
-
-.highlight .gs {
-color:#ccc;
-font-weight:700;
-}
-
-.highlight .gu {
-color:purple;
-font-weight:700;
-}
-
-.highlight .gt {
-color:#0040D0;
-}
-
-.highlight .kc {
-color:#dca3a3;
-}
-
-.highlight .kd {
-color:#ffff86;
-}
-
-.highlight .kn {
-color:#dfaf8f;
-font-weight:700;
-}
-
-.highlight .kp {
-color:#cdcf99;
-}
-
-.highlight .kr {
-color:#cdcd00;
-}
-
-.highlight .ni {
-color:#c28182;
-}
-
-.highlight .ne {
-color:#c3bf9f;
-font-weight:700;
-}
-
-.highlight .nn {
-color:#8fbede;
-}
-
-.highlight .vi {
-color:#ffffc7;
-}
-
-.highlight .c,.preview-zenburn .highlight .g,.preview-zenburn .highlight .cm,.preview-zenburn .highlight .cp,.preview-zenburn .highlight .c1 {
-color:#7f9f7f;
-}
-
-.highlight .l,.preview-zenburn .highlight .x,.preview-zenburn .highlight .no,.preview-zenburn .highlight .nd,.preview-zenburn .highlight .nl,.preview-zenburn .highlight .nx,.preview-zenburn .highlight .py,.preview-zenburn .highlight .w {
-color:#ccc;
-}
-
-.highlight .n,.preview-zenburn .highlight .nv,.preview-zenburn .highlight .vg {
-color:#dcdccc;
-}
-
-.highlight .o,.preview-zenburn .highlight .ow {
-color:#f0efd0;
-}
-
-.highlight .gh,.preview-zenburn .highlight .gp {
-color:#dcdccc;
-font-weight:700;
-}
-
-.highlight .gi,.preview-zenburn .highlight .kt {
-color:#00cd00;
-}
-
-.highlight .ld,.preview-zenburn .highlight .s,.preview-zenburn .highlight .sb,.preview-zenburn .highlight .sc,.preview-zenburn .highlight .sd,.preview-zenburn .highlight .s2,.preview-zenburn .highlight .se,.preview-zenburn .highlight .sh,.preview-zenburn .highlight .si,.preview-zenburn .highlight .sx,.preview-zenburn .highlight .sr,.preview-zenburn .highlight .s1,.preview-zenburn .highlight .ss {
-color:#cc9393;
-}
-
-.highlight .m,.preview-zenburn .highlight .mf,.preview-zenburn .highlight .mh,.preview-zenburn .highlight .mi,.preview-zenburn .highlight .mo,.preview-zenburn .highlight .il {
-color:#8cd0d3;
-}
-
-.highlight .na,.preview-zenburn .highlight .nt {
-color:#9ac39f;
-}
-
-.highlight .nb,.preview-zenburn .highlight .nc,.preview-zenburn .highlight .nf,.preview-zenburn .highlight .bp,.preview-zenburn .highlight .vc {
-color:#efef8f;
-}
diff --git a/docs/_site/assets/css/spec-style.css b/docs/_site/assets/css/spec-style.css
deleted file mode 100644
index 16d916f..0000000
--- a/docs/_site/assets/css/spec-style.css
+++ /dev/null
@@ -1 +0,0 @@
-@import url("https://fonts.googleapis.com/css?family=Inconsolata");body{font-family:Arial,sans-serif;margin:10% 25% 10% 10%;line-height:1.3}a{color:navy;text-decoration:none}a:visited{color:navy;text-decoration:none}a:hover{text-decoration:underline}code{font-family:"Inconsolata",monospace}table{border-collapse:collapse;min-width:50%;margin-left:1em}th,td{border:2px solid #ccc;padding:.5em}th{background-color:#333;color:#fff}table.terms th{display:none}table.terms td{vertical-align:top}table.conventions th{display:none}table.conventions td{vertical-align:top}table.conventions td:first-child{white-space:nowrap}table.nohead th{display:none}table.xyhead th,table.xyhead td:first-child{background-color:#9bbb59}table.xyhead th{color:#000;font-weight:normal}figure.highlight{background-color:#f2f2f2;padding-left:1em;padding-right:1em;border:2px solid #ccc}div.draco-syntax pre{background-color:#fff;background-image:linear-gradient(90deg, transparent 580px, #abced4 580px, #abced4 582px, transparent 582px),linear-gradient(#ddd .1em, transparent .1em);background-size:100% 1.3em;border-left:2px solid #ddd;border-right:2px solid #ddd;border-bottom:2px solid #ddd;white-space:pre;font-family:"Inconsolata",monospace;font-size:1em;padding-left:1em;margin-left:1em;width:720px}
diff --git a/docs/_site/assets/favicon.ico b/docs/_site/assets/favicon.ico
deleted file mode 100644
index 4ca5dba..0000000
Binary files a/docs/_site/assets/favicon.ico and /dev/null differ
diff --git a/docs/_site/assets/js/ASCIIMathML.js b/docs/_site/assets/js/ASCIIMathML.js
deleted file mode 100644
index 727111c..0000000
--- a/docs/_site/assets/js/ASCIIMathML.js
+++ /dev/null
@@ -1,1127 +0,0 @@
-/*
-ASCIIMathML.js
-==============
-This file contains JavaScript functions to convert ASCII math notation
-and (some) LaTeX to Presentation MathML. The conversion is done while the
-HTML page loads, and should work with Firefox and other browsers that can
-render MathML.
-
-Just add the next line to your HTML page with this file in the same folder:
-
-
-
-Version 2.2 Mar 3, 2014.
-Latest version at https://github.com/mathjax/asciimathml
-If you use it on a webpage, please send the URL to jipsen@chapman.edu
-
-Copyright (c) 2014 Peter Jipsen and other ASCIIMathML.js contributors
-
-Permission is hereby granted, free of charge, to any person obtaining a copy
-of this software and associated documentation files (the "Software"), to deal
-in the Software without restriction, including without limitation the rights
-to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-copies of the Software, and to permit persons to whom the Software is
-furnished to do so, subject to the following conditions:
-
-The above copyright notice and this permission notice shall be included in
-all copies or substantial portions of the Software.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
-THE SOFTWARE.
-*/
-var asciimath = {};
-
-(function(){
-var mathcolor = "blue"; // change it to "" (to inherit) or another color
-var mathfontsize = "1em"; // change to e.g. 1.2em for larger math
-var mathfontfamily = "serif"; // change to "" to inherit (works in IE)
- // or another family (e.g. "arial")
-var automathrecognize = false; // writing "amath" on page makes this true
-var checkForMathML = true; // check if browser can display MathML
-var notifyIfNoMathML = true; // display note at top if no MathML capability
-var alertIfNoMathML = false; // show alert box if no MathML capability
-var translateOnLoad = true; // set to false to do call translators from js
-var translateASCIIMath = true; // false to preserve `..`
-var displaystyle = true; // puts limits above and below large operators
-var showasciiformulaonhover = true; // helps students learn ASCIIMath
-var decimalsign = "."; // change to "," if you like, beware of `(1,2)`!
-var AMdelimiter1 = "`", AMescape1 = "\\\\`"; // can use other characters
-var AMdocumentId = "wikitext" // PmWiki element containing math (default=body)
-var fixphi = true; //false to return to legacy phi/varphi mapping
-
-/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
-
-var isIE = (navigator.appName.slice(0,9)=="Microsoft");
-var noMathML = false, translated = false;
-
-if (isIE) { // add MathPlayer info to IE webpages
- document.write("<", tag:"mo", output:"\u22C9", tex:"ltimes", ttype:CONST},
-{input:"><|", tag:"mo", output:"\u22CA", tex:"rtimes", ttype:CONST},
-{input:"|><|", tag:"mo", output:"\u22C8", tex:"bowtie", ttype:CONST},
-{input:"-:", tag:"mo", output:"\u00F7", tex:"div", ttype:CONST},
-{input:"divide", tag:"mo", output:"-:", tex:null, ttype:DEFINITION},
-{input:"@", tag:"mo", output:"\u2218", tex:"circ", ttype:CONST},
-{input:"o+", tag:"mo", output:"\u2295", tex:"oplus", ttype:CONST},
-{input:"ox", tag:"mo", output:"\u2297", tex:"otimes", ttype:CONST},
-{input:"o.", tag:"mo", output:"\u2299", tex:"odot", ttype:CONST},
-{input:"sum", tag:"mo", output:"\u2211", tex:null, ttype:UNDEROVER},
-{input:"prod", tag:"mo", output:"\u220F", tex:null, ttype:UNDEROVER},
-{input:"^^", tag:"mo", output:"\u2227", tex:"wedge", ttype:CONST},
-{input:"^^^", tag:"mo", output:"\u22C0", tex:"bigwedge", ttype:UNDEROVER},
-{input:"vv", tag:"mo", output:"\u2228", tex:"vee", ttype:CONST},
-{input:"vvv", tag:"mo", output:"\u22C1", tex:"bigvee", ttype:UNDEROVER},
-{input:"nn", tag:"mo", output:"\u2229", tex:"cap", ttype:CONST},
-{input:"nnn", tag:"mo", output:"\u22C2", tex:"bigcap", ttype:UNDEROVER},
-{input:"uu", tag:"mo", output:"\u222A", tex:"cup", ttype:CONST},
-{input:"uuu", tag:"mo", output:"\u22C3", tex:"bigcup", ttype:UNDEROVER},
-
-//binary relation symbols
-{input:"!=", tag:"mo", output:"\u2260", tex:"ne", ttype:CONST},
-{input:":=", tag:"mo", output:":=", tex:null, ttype:CONST},
-{input:"lt", tag:"mo", output:"<", tex:null, ttype:CONST},
-{input:"<=", tag:"mo", output:"\u2264", tex:"le", ttype:CONST},
-{input:"lt=", tag:"mo", output:"\u2264", tex:"leq", ttype:CONST},
-{input:"gt", tag:"mo", output:">", tex:null, ttype:CONST},
-{input:">=", tag:"mo", output:"\u2265", tex:"ge", ttype:CONST},
-{input:"gt=", tag:"mo", output:"\u2265", tex:"geq", ttype:CONST},
-{input:"-<", tag:"mo", output:"\u227A", tex:"prec", ttype:CONST},
-{input:"-lt", tag:"mo", output:"\u227A", tex:null, ttype:CONST},
-{input:">-", tag:"mo", output:"\u227B", tex:"succ", ttype:CONST},
-{input:"-<=", tag:"mo", output:"\u2AAF", tex:"preceq", ttype:CONST},
-{input:">-=", tag:"mo", output:"\u2AB0", tex:"succeq", ttype:CONST},
-{input:"in", tag:"mo", output:"\u2208", tex:null, ttype:CONST},
-{input:"!in", tag:"mo", output:"\u2209", tex:"notin", ttype:CONST},
-{input:"sub", tag:"mo", output:"\u2282", tex:"subset", ttype:CONST},
-{input:"sup", tag:"mo", output:"\u2283", tex:"supset", ttype:CONST},
-{input:"sube", tag:"mo", output:"\u2286", tex:"subseteq", ttype:CONST},
-{input:"supe", tag:"mo", output:"\u2287", tex:"supseteq", ttype:CONST},
-{input:"-=", tag:"mo", output:"\u2261", tex:"equiv", ttype:CONST},
-{input:"~=", tag:"mo", output:"\u2245", tex:"cong", ttype:CONST},
-{input:"~~", tag:"mo", output:"\u2248", tex:"approx", ttype:CONST},
-{input:"prop", tag:"mo", output:"\u221D", tex:"propto", ttype:CONST},
-
-//logical symbols
-{input:"and", tag:"mtext", output:"and", tex:null, ttype:SPACE},
-{input:"or", tag:"mtext", output:"or", tex:null, ttype:SPACE},
-{input:"not", tag:"mo", output:"\u00AC", tex:"neg", ttype:CONST},
-{input:"=>", tag:"mo", output:"\u21D2", tex:"implies", ttype:CONST},
-{input:"if", tag:"mo", output:"if", tex:null, ttype:SPACE},
-{input:"<=>", tag:"mo", output:"\u21D4", tex:"iff", ttype:CONST},
-{input:"AA", tag:"mo", output:"\u2200", tex:"forall", ttype:CONST},
-{input:"EE", tag:"mo", output:"\u2203", tex:"exists", ttype:CONST},
-{input:"_|_", tag:"mo", output:"\u22A5", tex:"bot", ttype:CONST},
-{input:"TT", tag:"mo", output:"\u22A4", tex:"top", ttype:CONST},
-{input:"|--", tag:"mo", output:"\u22A2", tex:"vdash", ttype:CONST},
-{input:"|==", tag:"mo", output:"\u22A8", tex:"models", ttype:CONST},
-
-//grouping brackets
-{input:"(", tag:"mo", output:"(", tex:null, ttype:LEFTBRACKET},
-{input:")", tag:"mo", output:")", tex:null, ttype:RIGHTBRACKET},
-{input:"[", tag:"mo", output:"[", tex:null, ttype:LEFTBRACKET},
-{input:"]", tag:"mo", output:"]", tex:null, ttype:RIGHTBRACKET},
-{input:"{", tag:"mo", output:"{", tex:null, ttype:LEFTBRACKET},
-{input:"}", tag:"mo", output:"}", tex:null, ttype:RIGHTBRACKET},
-{input:"|", tag:"mo", output:"|", tex:null, ttype:LEFTRIGHT},
-//{input:"||", tag:"mo", output:"||", tex:null, ttype:LEFTRIGHT},
-{input:"(:", tag:"mo", output:"\u2329", tex:"langle", ttype:LEFTBRACKET},
-{input:":)", tag:"mo", output:"\u232A", tex:"rangle", ttype:RIGHTBRACKET},
-{input:"<<", tag:"mo", output:"\u2329", tex:null, ttype:LEFTBRACKET},
-{input:">>", tag:"mo", output:"\u232A", tex:null, ttype:RIGHTBRACKET},
-{input:"{:", tag:"mo", output:"{:", tex:null, ttype:LEFTBRACKET, invisible:true},
-{input:":}", tag:"mo", output:":}", tex:null, ttype:RIGHTBRACKET, invisible:true},
-
-//miscellaneous symbols
-{input:"int", tag:"mo", output:"\u222B", tex:null, ttype:CONST},
-{input:"dx", tag:"mi", output:"{:d x:}", tex:null, ttype:DEFINITION},
-{input:"dy", tag:"mi", output:"{:d y:}", tex:null, ttype:DEFINITION},
-{input:"dz", tag:"mi", output:"{:d z:}", tex:null, ttype:DEFINITION},
-{input:"dt", tag:"mi", output:"{:d t:}", tex:null, ttype:DEFINITION},
-{input:"oint", tag:"mo", output:"\u222E", tex:null, ttype:CONST},
-{input:"del", tag:"mo", output:"\u2202", tex:"partial", ttype:CONST},
-{input:"grad", tag:"mo", output:"\u2207", tex:"nabla", ttype:CONST},
-{input:"+-", tag:"mo", output:"\u00B1", tex:"pm", ttype:CONST},
-{input:"O/", tag:"mo", output:"\u2205", tex:"emptyset", ttype:CONST},
-{input:"oo", tag:"mo", output:"\u221E", tex:"infty", ttype:CONST},
-{input:"aleph", tag:"mo", output:"\u2135", tex:null, ttype:CONST},
-{input:"...", tag:"mo", output:"...", tex:"ldots", ttype:CONST},
-{input:":.", tag:"mo", output:"\u2234", tex:"therefore", ttype:CONST},
-{input:":'", tag:"mo", output:"\u2235", tex:"because", ttype:CONST},
-{input:"/_", tag:"mo", output:"\u2220", tex:"angle", ttype:CONST},
-{input:"/_\\", tag:"mo", output:"\u25B3", tex:"triangle", ttype:CONST},
-{input:"'", tag:"mo", output:"\u2032", tex:"prime", ttype:CONST},
-{input:"tilde", tag:"mover", output:"~", tex:null, ttype:UNARY, acc:true},
-{input:"\\ ", tag:"mo", output:"\u00A0", tex:null, ttype:CONST},
-{input:"frown", tag:"mo", output:"\u2322", tex:null, ttype:CONST},
-{input:"quad", tag:"mo", output:"\u00A0\u00A0", tex:null, ttype:CONST},
-{input:"qquad", tag:"mo", output:"\u00A0\u00A0\u00A0\u00A0", tex:null, ttype:CONST},
-{input:"cdots", tag:"mo", output:"\u22EF", tex:null, ttype:CONST},
-{input:"vdots", tag:"mo", output:"\u22EE", tex:null, ttype:CONST},
-{input:"ddots", tag:"mo", output:"\u22F1", tex:null, ttype:CONST},
-{input:"diamond", tag:"mo", output:"\u22C4", tex:null, ttype:CONST},
-{input:"square", tag:"mo", output:"\u25A1", tex:null, ttype:CONST},
-{input:"|__", tag:"mo", output:"\u230A", tex:"lfloor", ttype:CONST},
-{input:"__|", tag:"mo", output:"\u230B", tex:"rfloor", ttype:CONST},
-{input:"|~", tag:"mo", output:"\u2308", tex:"lceiling", ttype:CONST},
-{input:"~|", tag:"mo", output:"\u2309", tex:"rceiling", ttype:CONST},
-{input:"CC", tag:"mo", output:"\u2102", tex:null, ttype:CONST},
-{input:"NN", tag:"mo", output:"\u2115", tex:null, ttype:CONST},
-{input:"QQ", tag:"mo", output:"\u211A", tex:null, ttype:CONST},
-{input:"RR", tag:"mo", output:"\u211D", tex:null, ttype:CONST},
-{input:"ZZ", tag:"mo", output:"\u2124", tex:null, ttype:CONST},
-{input:"f", tag:"mi", output:"f", tex:null, ttype:UNARY, func:true},
-{input:"g", tag:"mi", output:"g", tex:null, ttype:UNARY, func:true},
-
-//standard functions
-{input:"lim", tag:"mo", output:"lim", tex:null, ttype:UNDEROVER},
-{input:"Lim", tag:"mo", output:"Lim", tex:null, ttype:UNDEROVER},
-{input:"sin", tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true},
-{input:"cos", tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true},
-{input:"tan", tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true},
-{input:"sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true},
-{input:"cosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true},
-{input:"tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true},
-{input:"cot", tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true},
-{input:"sec", tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true},
-{input:"csc", tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true},
-{input:"arcsin", tag:"mo", output:"arcsin", tex:null, ttype:UNARY, func:true},
-{input:"arccos", tag:"mo", output:"arccos", tex:null, ttype:UNARY, func:true},
-{input:"arctan", tag:"mo", output:"arctan", tex:null, ttype:UNARY, func:true},
-{input:"coth", tag:"mo", output:"coth", tex:null, ttype:UNARY, func:true},
-{input:"sech", tag:"mo", output:"sech", tex:null, ttype:UNARY, func:true},
-{input:"csch", tag:"mo", output:"csch", tex:null, ttype:UNARY, func:true},
-{input:"exp", tag:"mo", output:"exp", tex:null, ttype:UNARY, func:true},
-{input:"abs", tag:"mo", output:"abs", tex:null, ttype:UNARY, rewriteleftright:["|","|"]},
-{input:"norm", tag:"mo", output:"norm", tex:null, ttype:UNARY, rewriteleftright:["\u2225","\u2225"]},
-{input:"floor", tag:"mo", output:"floor", tex:null, ttype:UNARY, rewriteleftright:["\u230A","\u230B"]},
-{input:"ceil", tag:"mo", output:"ceil", tex:null, ttype:UNARY, rewriteleftright:["\u2308","\u2309"]},
-{input:"log", tag:"mo", output:"log", tex:null, ttype:UNARY, func:true},
-{input:"ln", tag:"mo", output:"ln", tex:null, ttype:UNARY, func:true},
-{input:"det", tag:"mo", output:"det", tex:null, ttype:UNARY, func:true},
-{input:"dim", tag:"mo", output:"dim", tex:null, ttype:CONST},
-{input:"mod", tag:"mo", output:"mod", tex:null, ttype:CONST},
-{input:"gcd", tag:"mo", output:"gcd", tex:null, ttype:UNARY, func:true},
-{input:"lcm", tag:"mo", output:"lcm", tex:null, ttype:UNARY, func:true},
-{input:"lub", tag:"mo", output:"lub", tex:null, ttype:CONST},
-{input:"glb", tag:"mo", output:"glb", tex:null, ttype:CONST},
-{input:"min", tag:"mo", output:"min", tex:null, ttype:UNDEROVER},
-{input:"max", tag:"mo", output:"max", tex:null, ttype:UNDEROVER},
-
-//arrows
-{input:"uarr", tag:"mo", output:"\u2191", tex:"uparrow", ttype:CONST},
-{input:"darr", tag:"mo", output:"\u2193", tex:"downarrow", ttype:CONST},
-{input:"rarr", tag:"mo", output:"\u2192", tex:"rightarrow", ttype:CONST},
-{input:"->", tag:"mo", output:"\u2192", tex:"to", ttype:CONST},
-{input:">->", tag:"mo", output:"\u21A3", tex:"rightarrowtail", ttype:CONST},
-{input:"->>", tag:"mo", output:"\u21A0", tex:"twoheadrightarrow", ttype:CONST},
-{input:">->>", tag:"mo", output:"\u2916", tex:"twoheadrightarrowtail", ttype:CONST},
-{input:"|->", tag:"mo", output:"\u21A6", tex:"mapsto", ttype:CONST},
-{input:"larr", tag:"mo", output:"\u2190", tex:"leftarrow", ttype:CONST},
-{input:"harr", tag:"mo", output:"\u2194", tex:"leftrightarrow", ttype:CONST},
-{input:"rArr", tag:"mo", output:"\u21D2", tex:"Rightarrow", ttype:CONST},
-{input:"lArr", tag:"mo", output:"\u21D0", tex:"Leftarrow", ttype:CONST},
-{input:"hArr", tag:"mo", output:"\u21D4", tex:"Leftrightarrow", ttype:CONST},
-//commands with argument
-{input:"sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY},
-{input:"root", tag:"mroot", output:"root", tex:null, ttype:BINARY},
-{input:"frac", tag:"mfrac", output:"/", tex:null, ttype:BINARY},
-{input:"/", tag:"mfrac", output:"/", tex:null, ttype:INFIX},
-{input:"stackrel", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},
-{input:"overset", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},
-{input:"underset", tag:"munder", output:"stackrel", tex:null, ttype:BINARY},
-{input:"_", tag:"msub", output:"_", tex:null, ttype:INFIX},
-{input:"^", tag:"msup", output:"^", tex:null, ttype:INFIX},
-{input:"hat", tag:"mover", output:"\u005E", tex:null, ttype:UNARY, acc:true},
-{input:"bar", tag:"mover", output:"\u00AF", tex:"overline", ttype:UNARY, acc:true},
-{input:"vec", tag:"mover", output:"\u2192", tex:null, ttype:UNARY, acc:true},
-{input:"dot", tag:"mover", output:".", tex:null, ttype:UNARY, acc:true},
-{input:"ddot", tag:"mover", output:"..", tex:null, ttype:UNARY, acc:true},
-{input:"ul", tag:"munder", output:"\u0332", tex:"underline", ttype:UNARY, acc:true},
-{input:"ubrace", tag:"munder", output:"\u23DF", tex:"underbrace", ttype:UNARYUNDEROVER, acc:true},
-{input:"obrace", tag:"mover", output:"\u23DE", tex:"overbrace", ttype:UNARYUNDEROVER, acc:true},
-{input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT},
-{input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT},
-{input:"color", tag:"mstyle", ttype:BINARY},
-{input:"cancel", tag:"menclose", output:"cancel", tex:null, ttype:UNARY},
-AMquote,
-{input:"bb", tag:"mstyle", atname:"mathvariant", atval:"bold", output:"bb", tex:null, ttype:UNARY},
-{input:"mathbf", tag:"mstyle", atname:"mathvariant", atval:"bold", output:"mathbf", tex:null, ttype:UNARY},
-{input:"sf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", output:"sf", tex:null, ttype:UNARY},
-{input:"mathsf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", output:"mathsf", tex:null, ttype:UNARY},
-{input:"bbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"bbb", tex:null, ttype:UNARY, codes:AMbbb},
-{input:"mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"mathbb", tex:null, ttype:UNARY, codes:AMbbb},
-{input:"cc", tag:"mstyle", atname:"mathvariant", atval:"script", output:"cc", tex:null, ttype:UNARY, codes:AMcal},
-{input:"mathcal", tag:"mstyle", atname:"mathvariant", atval:"script", output:"mathcal", tex:null, ttype:UNARY, codes:AMcal},
-{input:"tt", tag:"mstyle", atname:"mathvariant", atval:"monospace", output:"tt", tex:null, ttype:UNARY},
-{input:"mathtt", tag:"mstyle", atname:"mathvariant", atval:"monospace", output:"mathtt", tex:null, ttype:UNARY},
-{input:"fr", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"fr", tex:null, ttype:UNARY, codes:AMfrk},
-{input:"mathfrak", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"mathfrak", tex:null, ttype:UNARY, codes:AMfrk}
-];
-
-function compareNames(s1,s2) {
- if (s1.input > s2.input) return 1
- else return -1;
-}
-
-var AMnames = []; //list of input symbols
-
-function initSymbols() {
- var i;
- var symlen = AMsymbols.length;
- for (i=0; i=n where str appears or would be inserted
-// assumes arr is sorted
- if (n==0) {
- var h,m;
- n = -1;
- h = arr.length;
- while (n+1> 1;
- if (arr[m]=str
-}
-
-function AMgetSymbol(str) {
-//return maximal initial substring of str that appears in names
-//return null if there is none
- var k = 0; //new pos
- var j = 0; //old pos
- var mk; //match pos
- var st;
- var tagst;
- var match = "";
- var more = true;
- for (var i=1; i<=str.length && more; i++) {
- st = str.slice(0,i); //initial substring of length i
- j = k;
- k = position(AMnames, st, j);
- if (k=AMnames[k];
- }
- AMpreviousSymbol=AMcurrentSymbol;
- if (match!=""){
- AMcurrentSymbol=AMsymbols[mk].ttype;
- return AMsymbols[mk];
- }
-// if str[0] is a digit or - return maxsubstring of digits.digits
- AMcurrentSymbol=CONST;
- k = 1;
- st = str.slice(0,1);
- var integ = true;
- while ("0"<=st && st<="9" && k<=str.length) {
- st = str.slice(k,k+1);
- k++;
- }
- if (st == decimalsign) {
- st = str.slice(k,k+1);
- if ("0"<=st && st<="9") {
- integ = false;
- k++;
- while ("0"<=st && st<="9" && k<=str.length) {
- st = str.slice(k,k+1);
- k++;
- }
- }
- }
- if ((integ && k>1) || k>2) {
- st = str.slice(0,k-1);
- tagst = "mn";
- } else {
- k = 2;
- st = str.slice(0,1); //take 1 character
- tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi");
- }
- if (st=="-" && AMpreviousSymbol==INFIX) {
- AMcurrentSymbol = INFIX; //trick "/" into recognizing "-" on second parse
- return {input:st, tag:tagst, output:st, ttype:UNARY, func:true};
- }
- return {input:st, tag:tagst, output:st, ttype:CONST};
-}
-
-function AMremoveBrackets(node) {
- var st;
- if (!node.hasChildNodes()) { return; }
- if (node.firstChild.hasChildNodes() && (node.nodeName=="mrow" || node.nodeName=="M:MROW")) {
- st = node.firstChild.firstChild.nodeValue;
- if (st=="(" || st=="[" || st=="{") node.removeChild(node.firstChild);
- }
- if (node.lastChild.hasChildNodes() && (node.nodeName=="mrow" || node.nodeName=="M:MROW")) {
- st = node.lastChild.firstChild.nodeValue;
- if (st==")" || st=="]" || st=="}") node.removeChild(node.lastChild);
- }
-}
-
-/*Parsing ASCII math expressions with the following grammar
-v ::= [A-Za-z] | greek letters | numbers | other constant symbols
-u ::= sqrt | text | bb | other unary symbols for font commands
-b ::= frac | root | stackrel binary symbols
-l ::= ( | [ | { | (: | {: left brackets
-r ::= ) | ] | } | :) | :} right brackets
-S ::= v | lEr | uS | bSS Simple expression
-I ::= S_S | S^S | S_S^S | S Intermediate expression
-E ::= IE | I/I Expression
-Each terminal symbol is translated into a corresponding mathml node.*/
-
-var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol;
-
-function AMparseSexpr(str) { //parses str and returns [node,tailstr]
- var symbol, node, result, i, st,// rightvert = false,
- newFrag = document.createDocumentFragment();
- str = AMremoveCharsAndBlanks(str,0);
- symbol = AMgetSymbol(str); //either a token or a bracket or empty
- if (symbol == null || symbol.ttype == RIGHTBRACKET && AMnestingDepth > 0) {
- return [null,str];
- }
- if (symbol.ttype == DEFINITION) {
- str = symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);
- symbol = AMgetSymbol(str);
- }
- switch (symbol.ttype) { case UNDEROVER:
- case CONST:
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- return [createMmlNode(symbol.tag, //its a constant
- document.createTextNode(symbol.output)),str];
- case LEFTBRACKET: //read (expr+)
- AMnestingDepth++;
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- result = AMparseExpr(str,true);
- AMnestingDepth--;
- if (typeof symbol.invisible == "boolean" && symbol.invisible)
- node = createMmlNode("mrow",result[0]);
- else {
- node = createMmlNode("mo",document.createTextNode(symbol.output));
- node = createMmlNode("mrow",node);
- node.appendChild(result[0]);
- }
- return [node,result[1]];
- case TEXT:
- if (symbol!=AMquote) str = AMremoveCharsAndBlanks(str,symbol.input.length);
- if (str.charAt(0)=="{") i=str.indexOf("}");
- else if (str.charAt(0)=="(") i=str.indexOf(")");
- else if (str.charAt(0)=="[") i=str.indexOf("]");
- else if (symbol==AMquote) i=str.slice(1).indexOf("\"")+1;
- else i = 0;
- if (i==-1) i = str.length;
- st = str.slice(1,i);
- if (st.charAt(0) == " ") {
- node = createMmlNode("mspace");
- node.setAttribute("width","1ex");
- newFrag.appendChild(node);
- }
- newFrag.appendChild(
- createMmlNode(symbol.tag,document.createTextNode(st)));
- if (st.charAt(st.length-1) == " ") {
- node = createMmlNode("mspace");
- node.setAttribute("width","1ex");
- newFrag.appendChild(node);
- }
- str = AMremoveCharsAndBlanks(str,i+1);
- return [createMmlNode("mrow",newFrag),str];
- case UNARYUNDEROVER:
- case UNARY:
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- result = AMparseSexpr(str);
- if (result[0]==null) return [createMmlNode(symbol.tag,
- document.createTextNode(symbol.output)),str];
- if (typeof symbol.func == "boolean" && symbol.func) { // functions hack
- st = str.charAt(0);
- if (st=="^" || st=="_" || st=="/" || st=="|" || st=="," ||
- (symbol.input.length==1 && symbol.input.match(/\w/) && st!="(")) {
- return [createMmlNode(symbol.tag,
- document.createTextNode(symbol.output)),str];
- } else {
- node = createMmlNode("mrow",
- createMmlNode(symbol.tag,document.createTextNode(symbol.output)));
- node.appendChild(result[0]);
- return [node,result[1]];
- }
- }
- AMremoveBrackets(result[0]);
- if (symbol.input == "sqrt") { // sqrt
- return [createMmlNode(symbol.tag,result[0]),result[1]];
- } else if (typeof symbol.rewriteleftright != "undefined") { // abs, floor, ceil
- node = createMmlNode("mrow", createMmlNode("mo",document.createTextNode(symbol.rewriteleftright[0])));
- node.appendChild(result[0]);
- node.appendChild(createMmlNode("mo",document.createTextNode(symbol.rewriteleftright[1])));
- return [node,result[1]];
- } else if (symbol.input == "cancel") { // cancel
- node = createMmlNode(symbol.tag,result[0]);
- node.setAttribute("notation","updiagonalstrike");
- return [node,result[1]];
- } else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent
- node = createMmlNode(symbol.tag,result[0]);
- node.appendChild(createMmlNode("mo",document.createTextNode(symbol.output)));
- return [node,result[1]];
- } else { // font change command
- if (!isIE && typeof symbol.codes != "undefined") {
- for (i=0; i64 && st.charCodeAt(j)<91)
- newst = newst + symbol.codes[st.charCodeAt(j)-65];
- else if (st.charCodeAt(j)>96 && st.charCodeAt(j)<123)
- newst = newst + symbol.codes[st.charCodeAt(j)-71];
- else newst = newst + st.charAt(j);
- if (result[0].nodeName=="mi")
- result[0]=createMmlNode("mo").
- appendChild(document.createTextNode(newst));
- else result[0].replaceChild(createMmlNode("mo").
- appendChild(document.createTextNode(newst)),
- result[0].childNodes[i]);
- }
- }
- node = createMmlNode(symbol.tag,result[0]);
- node.setAttribute(symbol.atname,symbol.atval);
- return [node,result[1]];
- }
- case BINARY:
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- result = AMparseSexpr(str);
- if (result[0]==null) return [createMmlNode("mo",
- document.createTextNode(symbol.input)),str];
- AMremoveBrackets(result[0]);
- var result2 = AMparseSexpr(result[1]);
- if (result2[0]==null) return [createMmlNode("mo",
- document.createTextNode(symbol.input)),str];
- AMremoveBrackets(result2[0]);
- if (symbol.input=="color") {
- if (str.charAt(0)=="{") i=str.indexOf("}");
- else if (str.charAt(0)=="(") i=str.indexOf(")");
- else if (str.charAt(0)=="[") i=str.indexOf("]");
- st = str.slice(1,i);
- node = createMmlNode(symbol.tag,result2[0]);
- node.setAttribute("mathcolor",st);
- return [node,result2[1]];
- }
- if (symbol.input=="root" || symbol.output=="stackrel")
- newFrag.appendChild(result2[0]);
- newFrag.appendChild(result[0]);
- if (symbol.input=="frac") newFrag.appendChild(result2[0]);
- return [createMmlNode(symbol.tag,newFrag),result2[1]];
- case INFIX:
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- return [createMmlNode("mo",document.createTextNode(symbol.output)),str];
- case SPACE:
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- node = createMmlNode("mspace");
- node.setAttribute("width","1ex");
- newFrag.appendChild(node);
- newFrag.appendChild(
- createMmlNode(symbol.tag,document.createTextNode(symbol.output)));
- node = createMmlNode("mspace");
- node.setAttribute("width","1ex");
- newFrag.appendChild(node);
- return [createMmlNode("mrow",newFrag),str];
- case LEFTRIGHT:
-// if (rightvert) return [null,str]; else rightvert = true;
- AMnestingDepth++;
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- result = AMparseExpr(str,false);
- AMnestingDepth--;
- st = "";
- if (result[0].lastChild!=null)
- st = result[0].lastChild.firstChild.nodeValue;
- if (st == "|") { // its an absolute value subterm
- node = createMmlNode("mo",document.createTextNode(symbol.output));
- node = createMmlNode("mrow",node);
- node.appendChild(result[0]);
- return [node,result[1]];
- } else { // the "|" is a \mid so use unicode 2223 (divides) for spacing
- node = createMmlNode("mo",document.createTextNode("\u2223"));
- node = createMmlNode("mrow",node);
- return [node,str];
- }
- default:
-//alert("default");
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- return [createMmlNode(symbol.tag, //its a constant
- document.createTextNode(symbol.output)),str];
- }
-}
-
-function AMparseIexpr(str) {
- var symbol, sym1, sym2, node, result, underover;
- str = AMremoveCharsAndBlanks(str,0);
- sym1 = AMgetSymbol(str);
- result = AMparseSexpr(str);
- node = result[0];
- str = result[1];
- symbol = AMgetSymbol(str);
- if (symbol.ttype == INFIX && symbol.input != "/") {
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
-// if (symbol.input == "/") result = AMparseIexpr(str); else ...
- result = AMparseSexpr(str);
- if (result[0] == null) // show box in place of missing argument
- result[0] = createMmlNode("mo",document.createTextNode("\u25A1"));
- else AMremoveBrackets(result[0]);
- str = result[1];
-// if (symbol.input == "/") AMremoveBrackets(node);
- underover = (sym1.ttype == UNDEROVER || sym1.ttype == UNARYUNDEROVER);
- if (symbol.input == "_") {
- sym2 = AMgetSymbol(str);
- if (sym2.input == "^") {
- str = AMremoveCharsAndBlanks(str,sym2.input.length);
- var res2 = AMparseSexpr(str);
- AMremoveBrackets(res2[0]);
- str = res2[1];
- node = createMmlNode((underover?"munderover":"msubsup"),node);
- node.appendChild(result[0]);
- node.appendChild(res2[0]);
- node = createMmlNode("mrow",node); // so sum does not stretch
- } else {
- node = createMmlNode((underover?"munder":"msub"),node);
- node.appendChild(result[0]);
- }
- } else if (symbol.input == "^" && underover) {
- node = createMmlNode("mover",node);
- node.appendChild(result[0]);
- } else {
- node = createMmlNode(symbol.tag,node);
- node.appendChild(result[0]);
- }
- if (typeof sym1.func != 'undefined' && sym1.func) {
- sym2 = AMgetSymbol(str);
- if (sym2.ttype != INFIX && sym2.ttype != RIGHTBRACKET) {
- result = AMparseIexpr(str);
- node = createMmlNode("mrow",node);
- node.appendChild(result[0]);
- str = result[1];
- }
- }
- }
- return [node,str];
-}
-
-function AMparseExpr(str,rightbracket) {
- var symbol, node, result, i,
- newFrag = document.createDocumentFragment();
- do {
- str = AMremoveCharsAndBlanks(str,0);
- result = AMparseIexpr(str);
- node = result[0];
- str = result[1];
- symbol = AMgetSymbol(str);
- if (symbol.ttype == INFIX && symbol.input == "/") {
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- result = AMparseIexpr(str);
- if (result[0] == null) // show box in place of missing argument
- result[0] = createMmlNode("mo",document.createTextNode("\u25A1"));
- else AMremoveBrackets(result[0]);
- str = result[1];
- AMremoveBrackets(node);
- node = createMmlNode(symbol.tag,node);
- node.appendChild(result[0]);
- newFrag.appendChild(node);
- symbol = AMgetSymbol(str);
- }
- else if (node!=undefined) newFrag.appendChild(node);
- } while ((symbol.ttype != RIGHTBRACKET &&
- (symbol.ttype != LEFTRIGHT || rightbracket)
- || AMnestingDepth == 0) && symbol!=null && symbol.output!="");
- if (symbol.ttype == RIGHTBRACKET || symbol.ttype == LEFTRIGHT) {
-// if (AMnestingDepth > 0) AMnestingDepth--;
- var len = newFrag.childNodes.length;
- if (len>0 && newFrag.childNodes[len-1].nodeName == "mrow"
- && newFrag.childNodes[len-1].lastChild
- && newFrag.childNodes[len-1].lastChild.firstChild ) { //matrix
- //removed to allow row vectors: //&& len>1 &&
- //newFrag.childNodes[len-2].nodeName == "mo" &&
- //newFrag.childNodes[len-2].firstChild.nodeValue == ","
- var right = newFrag.childNodes[len-1].lastChild.firstChild.nodeValue;
- if (right==")" || right=="]") {
- var left = newFrag.childNodes[len-1].firstChild.firstChild.nodeValue;
- if (left=="(" && right==")" && symbol.output != "}" ||
- left=="[" && right=="]") {
- var pos = []; // positions of commas
- var matrix = true;
- var m = newFrag.childNodes.length;
- for (i=0; matrix && i1) matrix = pos[i].length == pos[i-2].length;
- }
- matrix = matrix && (pos.length>1 || pos[0].length>0);
- if (matrix) {
- var row, frag, n, k, table = document.createDocumentFragment();
- for (i=0; i(-,-,...,-,-)
- n = node.childNodes.length;
- k = 0;
- node.removeChild(node.firstChild); //remove (
- for (j=1; j2) {
- newFrag.removeChild(newFrag.firstChild); //remove )
- newFrag.removeChild(newFrag.firstChild); //remove ,
- }
- table.appendChild(createMmlNode("mtr",row));
- }
- node = createMmlNode("mtable",table);
- if (typeof symbol.invisible == "boolean" && symbol.invisible) node.setAttribute("columnalign","left");
- newFrag.replaceChild(node,newFrag.firstChild);
- }
- }
- }
- }
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- if (typeof symbol.invisible != "boolean" || !symbol.invisible) {
- node = createMmlNode("mo",document.createTextNode(symbol.output));
- newFrag.appendChild(node);
- }
- }
- return [newFrag,str];
-}
-
-function parseMath(str,latex) {
- var frag, node;
- AMnestingDepth = 0;
- //some basic cleanup for dealing with stuff editors like TinyMCE adds
- str = str.replace(/ /g,"");
- str = str.replace(/>/g,">");
- str = str.replace(/</g,"<");
- str = str.replace(/(Sin|Cos|Tan|Arcsin|Arccos|Arctan|Sinh|Cosh|Tanh|Cot|Sec|Csc|Log|Ln|Abs)/g, function(v) { return v.toLowerCase(); });
- frag = AMparseExpr(str.replace(/^\s+/g,""),false)[0];
- node = createMmlNode("mstyle",frag);
- if (mathcolor != "") node.setAttribute("mathcolor",mathcolor);
- if (mathfontfamily != "") node.setAttribute("fontfamily",mathfontfamily);
- if (displaystyle) node.setAttribute("displaystyle","true");
- node = createMmlNode("math",node);
- if (showasciiformulaonhover) //fixed by djhsu so newline
- node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko
- return node;
-}
-
-function strarr2docFrag(arr, linebreaks, latex) {
- var newFrag=document.createDocumentFragment();
- var expr = false;
- for (var i=0; i,\\|!:;'~]|\\.(?!(?:\x20|$))|"+ambigAMtoken+englishAMtoken+simpleAMtoken;
- var re = new RegExp("(^|\\s)((("+token+")\\s?)(("+token+secondenglishAMtoken+")\\s?)+)([,.?]?(?=\\s|$))","g");
- str = str.replace(re," `$2`$7");
- var arr = str.split(AMdelimiter1);
- var re1 = new RegExp("(^|\\s)([b-zB-HJ-Z+*<>]|"+texcommand+ambigAMtoken+simpleAMtoken+")(\\s|\\n|$)","g");
- var re2 = new RegExp("(^|\\s)([a-z]|"+texcommand+ambigAMtoken+simpleAMtoken+")([,.])","g"); // removed |\d+ for now
- for (i=0; i1 || mtch) {
- if (!noMathML) {
- frg = strarr2docFrag(arr,n.nodeType==8,latex);
- var len = frg.childNodes.length;
- n.parentNode.replaceChild(frg,n);
- return len-1;
- } else return 0;
- }
- }
- } else return 0;
- } else if (n.nodeName!="math") {
- for (i=0; i topOfWindow &&
- monitoredDOMElements[element].offset < bottomOfWindow) {
- $(monitoredDOMElements[element].anchor).addClass("selected");
- $(".autotoc li").not(monitoredDOMElements[element].anchor).removeClass("selected");
- break;
- }
- }
- });
-
-
- // Default settings
- var settings = $.extend({
- toc: "#toc"
- },options);
-
- var toc = $('');
-
- $(settings.toc).append(toc);
-
- return this.each(function() {
- tocEntry = $('' + $(this).html() + ' ');
- tocEntry.data("parentHeading",this);
- tocEntry.on("click", function() {
- $('html, body').animate({
- scrollTop: $($(this).data("parentHeading")).offset().top - (windowHeight * .2)
- }, 750 );
- });
-
- $(".autotoc").append(tocEntry);
-
- monitoredDOMElements.push({
- offset: $(this).offset().top,
- anchor: tocEntry
- });
- });
- }
-});
\ No newline at end of file
diff --git a/docs/_site/spec/00.00.00.title.html b/docs/_site/spec/00.00.00.title.html
deleted file mode 100644
index 3b73c4f..0000000
--- a/docs/_site/spec/00.00.00.title.html
+++ /dev/null
@@ -1,2 +0,0 @@
-
-{{ page.title }}
diff --git a/docs/_site/spec/00.00.00.title.md b/docs/_site/spec/00.00.00.title.md
deleted file mode 100644
index fffa716..0000000
--- a/docs/_site/spec/00.00.00.title.md
+++ /dev/null
@@ -1,3 +0,0 @@
-
-# {{ page.title }}
-{:.no_toc}
diff --git a/docs/_site/spec/00.00.01.version.html b/docs/_site/spec/00.00.01.version.html
deleted file mode 100644
index ecfa653..0000000
--- a/docs/_site/spec/00.00.01.version.html
+++ /dev/null
@@ -1,3 +0,0 @@
-
-__
diff --git a/docs/_site/spec/00.00.01.version.md b/docs/_site/spec/00.00.01.version.md
deleted file mode 100644
index 1796d22..0000000
--- a/docs/_site/spec/00.00.01.version.md
+++ /dev/null
@@ -1,3 +0,0 @@
-
-_{{ page.version }}_
-_{{ page.version_date }}_
diff --git a/docs/_site/spec/00.00.02.authors.html b/docs/_site/spec/00.00.02.authors.html
deleted file mode 100644
index 289d69f..0000000
--- a/docs/_site/spec/00.00.02.authors.html
+++ /dev/null
@@ -1,4 +0,0 @@
-
-Frank Galligan, Google
diff --git a/docs/_site/spec/00.00.02.authors.md b/docs/_site/spec/00.00.02.authors.md
deleted file mode 100644
index 2cf7726..0000000
--- a/docs/_site/spec/00.00.02.authors.md
+++ /dev/null
@@ -1,4 +0,0 @@
-
-_Frank Galligan, Google
-\[author]
-\[author]_
diff --git a/docs/_site/spec/00.00.03.last.modified.html b/docs/_site/spec/00.00.03.last.modified.html
deleted file mode 100644
index e39e03d..0000000
--- a/docs/_site/spec/00.00.03.last.modified.html
+++ /dev/null
@@ -1,2 +0,0 @@
-
-Last modified: 2017-07-12 15:15:50 -0700
diff --git a/docs/_site/spec/00.00.03.last.modified.md b/docs/_site/spec/00.00.03.last.modified.md
deleted file mode 100644
index 092b08c..0000000
--- a/docs/_site/spec/00.00.03.last.modified.md
+++ /dev/null
@@ -1,2 +0,0 @@
-
-_Last modified: {{ site.time }}_
diff --git a/docs/_site/spec/00.00.04.abstract.html b/docs/_site/spec/00.00.04.abstract.html
deleted file mode 100644
index 595ec74..0000000
--- a/docs/_site/spec/00.00.04.abstract.html
+++ /dev/null
@@ -1,5 +0,0 @@
-
-Abstract
-
-This document defines the bitstream format and decoding process for the
-Draco 3D Data Compression scheme.
diff --git a/docs/_site/spec/00.00.04.abstract.md b/docs/_site/spec/00.00.04.abstract.md
deleted file mode 100644
index 2fc4a46..0000000
--- a/docs/_site/spec/00.00.04.abstract.md
+++ /dev/null
@@ -1,6 +0,0 @@
-
-## Abstract
-{:.no_toc .nocount}
-
-This document defines the bitstream format and decoding process for the
-Draco 3D Data Compression scheme.
diff --git a/docs/_site/spec/00.00.05.toc.html b/docs/_site/spec/00.00.05.toc.html
deleted file mode 100644
index 09409a6..0000000
--- a/docs/_site/spec/00.00.05.toc.html
+++ /dev/null
@@ -1,3 +0,0 @@
-
-Contents
-
diff --git a/docs/_site/spec/00.00.05.toc.md b/docs/_site/spec/00.00.05.toc.md
deleted file mode 100644
index 9ce6baf..0000000
--- a/docs/_site/spec/00.00.05.toc.md
+++ /dev/null
@@ -1,5 +0,0 @@
-
-**Contents**
-
-* TOC
-{:toc}
diff --git a/docs/_site/spec/01.00.00.scope.html b/docs/_site/spec/01.00.00.scope.html
deleted file mode 100644
index d0e1a2e..0000000
--- a/docs/_site/spec/01.00.00.scope.html
+++ /dev/null
@@ -1,5 +0,0 @@
-
-Scope
-
-This document specifies the open-source Draco #D Data Compression bitstream
-format and decoding process.
diff --git a/docs/_site/spec/01.00.00.scope.md b/docs/_site/spec/01.00.00.scope.md
deleted file mode 100644
index d17eff9..0000000
--- a/docs/_site/spec/01.00.00.scope.md
+++ /dev/null
@@ -1,5 +0,0 @@
-
-## Scope
-
-This document specifies the open-source Draco #D Data Compression bitstream
-format and decoding process.
diff --git a/docs/_site/spec/02.00.00.terms.html b/docs/_site/spec/02.00.00.terms.html
deleted file mode 100644
index 2ecb3a9..0000000
--- a/docs/_site/spec/02.00.00.terms.html
+++ /dev/null
@@ -1,19 +0,0 @@
-
-Terms and Definitions
-
-For the purposes of this document, the following terms and definitions apply:
-
-
-
-
- Term
- Definition
-
-
-
-
-
-
-
-
-
diff --git a/docs/_site/spec/02.00.00.terms.md b/docs/_site/spec/02.00.00.terms.md
deleted file mode 100644
index cfca0dd..0000000
--- a/docs/_site/spec/02.00.00.terms.md
+++ /dev/null
@@ -1,8 +0,0 @@
-
-## Terms and Definitions
-
-For the purposes of this document, the following terms and definitions apply:
-
-| Term | Definition |
-| ------- | ---------------- |
-| | |
diff --git a/docs/_site/spec/03.00.00.symbols.html b/docs/_site/spec/03.00.00.symbols.html
deleted file mode 100644
index 550b9e4..0000000
--- a/docs/_site/spec/03.00.00.symbols.html
+++ /dev/null
@@ -1,30 +0,0 @@
-
-Symbols (and abbreviated terms)
-
-DCT: Discrete Cosine Transform
-
-FIXME
-
-The specification makes use of a number of constant integers. Constants that
-relate to the semantics of a particular syntax element are defined in section
-7.
-
-Additional constants are defined below:
-
-
-
-
- Symbol name
- Value
- Description
-
-
-
-
- SYMBOL
-
-
-
-
-
diff --git a/docs/_site/spec/03.00.00.symbols.md b/docs/_site/spec/03.00.00.symbols.md
deleted file mode 100644
index 58b42cf..0000000
--- a/docs/_site/spec/03.00.00.symbols.md
+++ /dev/null
@@ -1,18 +0,0 @@
-
-## Symbols (and abbreviated terms)
-
-**DCT:** Discrete Cosine Transform
-
-FIXME
-
-The specification makes use of a number of constant integers. Constants that
-relate to the semantics of a particular syntax element are defined in section
-7.
-
-Additional constants are defined below:
-
-
-| Symbol name | Value | Description |
-| ------------------------ |:-----:| ----------- |
-| `SYMBOL` | |
-
diff --git a/docs/_site/spec/04.00.00.conventions.html b/docs/_site/spec/04.00.00.conventions.html
deleted file mode 100644
index 0248e19..0000000
--- a/docs/_site/spec/04.00.00.conventions.html
+++ /dev/null
@@ -1,92 +0,0 @@
-Conventions
-
-General Conventions
-
-
-
- When bit reading is finished it will always pad the read to the current
-byte.
-
-
- Draco encoded mesh files are comprised of three main sections. This first
-section is the header. The second section contains the connectivity data.
-The third section contains the attribute data. The header must be decoded
-first, then the connectivity section, and then the attribute section.
-
-
- The Connectivity section is composed of the following sections in order:
-
-
-
- Connectivity header
-
-
- EdgeBreaker symbol buffer
-
-
- Start face buffer
-
-
- EdgeBreaker valence header
-
-
- Context data for the valence prediction
-
-
- Hole and Split data
-
-
-
-
- The hole and split data must be decoded before the EdgeBreaker symbols are
-decoded.
-
-
-
-Method of describing bitstream syntax
-
-FIXME: This section is borrowed from AV1, and should be modified for the Draco
-spec.
-
-The description style of the syntax is similar to the C++ programming language.
-Syntax elements in the bitstream are represented in bold type. Each syntax
-element is described by its name (using only lower case letters with
-underscore characters) and a descriptor for its method of coded
-representation. The decoding process behaves according to the value of the
-syntax element and to the values of previously decoded syntax elements. When a
-value of a syntax element is used in the syntax tables or the text, it appears
-in regular (i.e. not bold) type. If the value of a syntax element is being
-computed (e.g. being written with a default value instead of being coded in
-the bitstream), it also appears in regular type.
-
-In some cases the syntax tables may use the values of other variables derived
-from syntax elements values. Such variables appear in the syntax tables, or
-text, named by a mixture of lower case and upper case letter and without any
-underscore characters. Variables starting with an upper case letter are
-derived for the decoding of the current syntax structure and all depending
-syntax structures. These variables may be used in the decoding process for
-later syntax structures. Variables starting with a lower case letter are only
-used within the process from which they are derived.
-
-Constant values appear in all upper case letters with underscore characters.
-
-Constant lookup tables appear in all lower case letters with underscore
-characters.
-
-Hexadecimal notation, indicated by prefixing the hexadecimal number by 0x,
-may be used when the number of bits is an integer multiple of 4. For example,
-0x1a represents a bit string 0001 1010.
-
-Binary notation is indicated by prefixing the binary number by 0b. For
-example, 0b00011010 represents a bit string 0001 1010. Binary numbers may
-include underscore characters to enhance readability. If present, the
-underscore characters appear every 4 binary digits starting from the LSB. For
-example, 0b11010 may also be written as 0b1_1010.
-
-A value equal to 0 represents a FALSE condition in a test statement. The
-value TRUE is represented by any value not equal to 0.
-
-The following table lists examples of the syntax specification format. When
-syntax_element appears (with bold face font), it specifies that this syntax
-element is parsed from the bitstream.
-
diff --git a/docs/_site/spec/04.00.00.conventions.md b/docs/_site/spec/04.00.00.conventions.md
deleted file mode 100644
index 762653f..0000000
--- a/docs/_site/spec/04.00.00.conventions.md
+++ /dev/null
@@ -1,77 +0,0 @@
-## Conventions
-
-### General Conventions
-
- * When bit reading is finished it will always pad the read to the current
- byte.
-
- * Draco encoded mesh files are comprised of three main sections. This first
- section is the header. The second section contains the connectivity data.
- The third section contains the attribute data. The header must be decoded
- first, then the connectivity section, and then the attribute section.
-
- * The Connectivity section is composed of the following sections in order:
-
- * Connectivity header
-
- * EdgeBreaker symbol buffer
-
- * Start face buffer
-
- * EdgeBreaker valence header
-
- * Context data for the valence prediction
-
- * Hole and Split data
-
- * The hole and split data must be decoded before the EdgeBreaker symbols are
- decoded.
-
-
-### Method of describing bitstream syntax
-
-**FIXME: This section is borrowed from AV1, and should be modified for the Draco
-spec.**
-
-The description style of the syntax is similar to the C++ programming language.
-Syntax elements in the bitstream are represented in bold type. Each syntax
-element is described by its name (using only lower case letters with
-underscore characters) and a descriptor for its method of coded
-representation. The decoding process behaves according to the value of the
-syntax element and to the values of previously decoded syntax elements. When a
-value of a syntax element is used in the syntax tables or the text, it appears
-in regular (i.e. not bold) type. If the value of a syntax element is being
-computed (e.g. being written with a default value instead of being coded in
-the bitstream), it also appears in regular type.
-
-In some cases the syntax tables may use the values of other variables derived
-from syntax elements values. Such variables appear in the syntax tables, or
-text, named by a mixture of lower case and upper case letter and without any
-underscore characters. Variables starting with an upper case letter are
-derived for the decoding of the current syntax structure and all depending
-syntax structures. These variables may be used in the decoding process for
-later syntax structures. Variables starting with a lower case letter are only
-used within the process from which they are derived.
-
-Constant values appear in all upper case letters with underscore characters.
-
-Constant lookup tables appear in all lower case letters with underscore
-characters.
-
-Hexadecimal notation, indicated by prefixing the hexadecimal number by `0x`,
-may be used when the number of bits is an integer multiple of 4. For example,
-`0x1a` represents a bit string `0001 1010`.
-
-Binary notation is indicated by prefixing the binary number by `0b`. For
-example, `0b00011010` represents a bit string `0001 1010`. Binary numbers may
-include underscore characters to enhance readability. If present, the
-underscore characters appear every 4 binary digits starting from the LSB. For
-example, `0b11010` may also be written as `0b1_1010`.
-
-A value equal to 0 represents a FALSE condition in a test statement. The
-value TRUE is represented by any value not equal to 0.
-
-The following table lists examples of the syntax specification format. When
-`syntax_element` appears (with bold face font), it specifies that this syntax
-element is parsed from the bitstream.
-
diff --git a/docs/_site/spec/draco.decoder.html b/docs/_site/spec/draco.decoder.html
deleted file mode 100644
index d70d8b5..0000000
--- a/docs/_site/spec/draco.decoder.html
+++ /dev/null
@@ -1,41 +0,0 @@
-Draco Decoder
-
-Decode()
-
-Decode() {
- DecodeHeader()
- DecodeConnectivityData()
- DecodeAttributeData()}
-
-
DecodeHeader() {
- draco_string UI8[5]
- major_version UI8
- minor_version UI8
- encoder_type UI8
- encoder_method UI8
- flags
-}
-
-
DecodeAttributeData()
-
-DecodeAttributeData() {
- num_attributes_decoders UI8
- for (i = 0; i < num_attributes_decoders; ++i) {
- CreateAttributesDecoder(i);
- }
- for (auto &att_dec : attributes_decoders_) {
- att_dec->Initialize(this, point_cloud_)
- }
- for (i = 0; i < num_attributes_decoders; ++i) {
- attributes_decoders_[i]->DecodeAttributesDecoderData(buffer_)
- }
- DecodeAllAttributes()
- OnAttributesDecoded()
-
-
EdgeBreaker Decoder
-
-InitializeDecoder()
-
-InitializeDecoder() {
- edgebreaker_decoder_type UI8
-}
-
-
DecodeConnectivity()
-
-DecodeConnectivity() {
- num_new_verts UI32
- num_encoded_vertices UI32
- num_faces UI32
- num_attribute_data I8
- num_encoded_symbols UI32
- num_encoded_split_symbols UI32
- encoded_connectivity_size UI32
- // file pointer must be set to current position
- // + encoded_connectivity_size
- hole_and_split_bytes = DecodeHoleAndTopologySplitEvents()
- // file pointer must be set to old current position
- EdgeBreakerTraversalValence_Start()
- DecodeConnectivity(num_symbols)
- if (attribute_data_.size() > 0) {
- for (ci = 0; ci < corner_table_->num_corners(); ci += 3) {
- DecodeAttributeConnectivitiesOnFace(ci)
- }
- }
- for (i = 0; i < corner_table_->num_vertices(); ++i) {
- if (is_vert_hole_[i]) {
- corner_table_->UpdateVertexToCornerMap(i);
- }
- }
- // Decode attribute connectivity.
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- attribute_data_[i].connectivity_data.InitEmpty(corner_table_.get());
- for (int32_t c : attribute_data_[i].attribute_seam_corners) {
- attribute_data_[i].connectivity_data.AddSeamEdge(c);
- }
- attribute_data_[i].connectivity_data.RecomputeVertices(nullptr, nullptr);
- }
- // Preallocate vertex to value mapping
- AssignPointsToCorners()
-}
-
-
AssignPointsToCorners()
-
-AssignPointsToCorners() {
- decoder_->mesh()->SetNumFaces(corner_table_->num_faces());
- if (attribute_data_.size() == 0) {
- for (f = 0; f < decoder_->mesh()->num_faces(); ++f) {
- for (c = 0; c < 3; ++c) {
- vert_id = corner_table_->Vertex(3 * f + c);
- if (point_id == -1)
- point_id = num_points++;
- face[c] = point_id;
- }
- decoder_->mesh()->SetFace(f, face);
- }
- decoder_->point_cloud()->set_num_points(num_points);
- Return true;
- }
- for (v = 0; v < corner_table_->num_vertices(); ++v) {
- c = corner_table_->LeftMostCorner(v);
- if (c < 0)
- continue;
- deduplication_first_corner = c;
- if (!is_vert_hole_[v]) {
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- if (!attribute_data_[i].connectivity_data.IsCornerOnSeam(c))
- continue;
- vert_id = attribute_data_[i].connectivity_data.Vertex(c);
- act_c = corner_table_->SwingRight(c);
- seam_found = false;
- while (act_c != c) {
- if (attribute_data_[i].connectivity_data.Vertex(act_c) != vert_id) {
- deduplication_first_corner = act_c;
- seam_found = true;
- break;
- }
- act_c = corner_table_->SwingRight(act_c);
- }
- if (seam_found)
- break;
- }
- }
- c = deduplication_first_corner;
- corner_to_point_map[c] = point_to_corner_map.size();
- point_to_corner_map.push_back(c);
- prev_c = c;
- c = corner_table_->SwingRight(c);
- while (c >= 0 && c != deduplication_first_corner) {
- attribute_seam = false;
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- if (attribute_data_[i].connectivity_data.Vertex(c) !=
- attribute_data_[i].connectivity_data.Vertex(prev_c)) {
- attribute_seam = true;
- break;
- }
- }
- if (attribute_seam) {
- corner_to_point_map[c] = point_to_corner_map.size();
- point_to_corner_map.push_back(c);
- } else {
- corner_to_point_map[c] = corner_to_point_map[prev_c];
- }
- prev_c = c;
- c = corner_table_->SwingRight(c);
- }
- }
- for (f = 0; f < decoder_->mesh()->num_faces(); ++f) {
- for (c = 0; c < 3; ++c) {
- face[c] = corner_to_point_map[3 * f + c];
- }
- decoder_->mesh()->SetFace(f, face);
- }
- decoder_->point_cloud()->set_num_points(point_to_corner_map.size());
-}
-
-
DecodeConnectivity()
-
-DecodeConnectivity(num_symbols) {
- for (i = 0; i < num_symbols; ++i) {
- symbol = TraversalValence_DecodeSymbol()
- corner = 3 * num_faces++
- if (symbol == TOPOLOGY_C) {
- vertex_x = UpdateCornerTableForSymbolC()
- is_vert_hole_[vertex_x] = false;
- } else if (symbol == TOPOLOGY_R || symbol == TOPOLOGY_L) {
- UpdateCornerTableForSymbolLR()
- check_topology_split = true;
- } else if (symbol == TOPOLOGY_S) {
- HandleSymbolS()
- } else if (symbol == TOPOLOGY_E) {
- UpdateCornerTableForSymbolE()
- check_topology_split = true;
- }
- active_corner_stack.back() = corner;
- traversal_decoder_.NewActiveCornerReached(corner);
- if (check_topology_split) {
- encoder_symbol_id = num_symbols - symbol_id - 1;
- while (true) {
- split = IsTopologySplit(encoder_symbol_id, &split_edge,
- &encoder_split_symbol_id);
- if (!split) {
- break;
- }
- act_top_corner = corner;
- if (split_edge == RIGHT_FACE_EDGE) {
- new_active_corner = corner_table_->Next(act_top_corner);
- } else {
- new_active_corner = corner_table_->Previous(act_top_corner);
- }
- decoder_split_symbol_id = num_symbols - encoder_split_symbol_id - 1;
- topology_split_active_corners[decoder_split_symbol_id] =
- new_active_corner;
- }
- }
- }
- while (active_corner_stack.size() > 0) {
- corner = active_corner_stack.pop_back();
- interior_face = traversal_decoder_.DecodeStartFaceConfiguration();
- if (interior_face == true) {
- UpdateCornerTableForInteriorFace()
- for (ci = 0; ci < 3; ++ci) {
- is_vert_hole_[corner_table_->Vertex(new_corner + ci)] = false;
- }
- init_face_configurations_.push_back(true);
- init_corners_.push_back(new_corner);
- } else {
- init_face_configurations_.push_back(false);
- init_corners_.push_back(corner);
- }
- }
- Return num_vertices;
-}
-
-
UpdateCornerTableForSymbolC()
-
-UpdateCornerTableForSymbolC(corner) {
- corner_a = active_corner_stack.back();
- corner_b = corner_table_->Previous(corner_a);
- while (corner_table_->Opposite(corner_b) >= 0) {
- corner_b = corner_table_->Previous(corner_table_->Opposite(corner_b));
- }
- SetOppositeCorners(corner_a, corner + 1);
- SetOppositeCorners(corner_b, corner + 2);
- vertex_x = corner_table_->Vertex(corner_table_->Next(corner_a));
- corner_table_->MapCornerToVertex(corner, vertex_x);
- corner_table_->MapCornerToVertex(
- corner + 1, corner_table_->Vertex(corner_table_->Next(corner_b)));
- corner_table_->MapCornerToVertex(
- corner + 2, corner_table_->Vertex(corner_table_->Previous(corner_a)));
- return vertex_x;
-}
-
-
UpdateCornerTableForSymbolLR()
-
-UpdateCornerTableForSymbolLR(corner, symbol) {
- if (symbol == TOPOLOGY_R) {
- opp_corner = corner + 2;
- } else {
- opp_corner = corner + 1;
- }
- SetOppositeCorners(opp_corner, corner_a);
- corner_table_->MapCornerToVertex(opp_corner,num_vertices++);
- corner_table_->MapCornerToVertex(
- corner_table_->Next(opp_corner),
- corner_table_->Vertex(corner_table_->Previous(corner_a)));
- corner_table_->MapCornerToVertex(
- corner_table_->Previous(opp_corner),
- corner_table_->Vertex(corner_table_->Next(corner_a)));
-}
-
-
HandleSymbolS()
-
-HandleSymbolS(corner) {
- corner_b = active_corner_stack.pop_back();
- it = topology_split_active_corners.find(symbol_id);
- if (it != topology_split_active_corners.end()) {
- active_corner_stack.push_back(it->second);
- }
- corner_a = active_corner_stack.back();
- SetOppositeCorners(corner_a, corner + 2);
- SetOppositeCorners(corner_b, corner + 1);
- vertex_p = corner_table_->Vertex(corner_table_->Previous(corner_a));
- corner_table_->MapCornerToVertex(corner, vertex_p);
- corner_table_->MapCornerToVertex(
- corner + 1, corner_table_->Vertex(corner_table_->Next(corner_a)));
- corner_table_->MapCornerToVertex(corner + 2,
- corner_table_->Vertex(corner_table_->Previous(corner_b)));
- corner_n = corner_table_->Next(corner_b);
- vertex_n = corner_table_->Vertex(corner_n);
- traversal_decoder_.MergeVertices(vertex_p, vertex_n);
- // TraversalValence_MergeVertices
- while (corner_n >= 0) {
- corner_table_->MapCornerToVertex(corner_n, vertex_p);
- corner_n = corner_table_->SwingLeft(corner_n);
- }
- corner_table_->MakeVertexIsolated(vertex_n);
-}
-
-
UpdateCornerTableForSymbolE()
-
-UpdateCornerTableForSymbolE() {
- corner_table_->MapCornerToVertex(corner, num_vertices++);
- corner_table_->MapCornerToVertex(corner + 1, num_vertices++);
- corner_table_->MapCornerToVertex(corner + 2, num_vertices++);
-}
-
-
UpdateCornerTableForInteriorFace()
-
-UpdateCornerTableForInteriorFace() {
- corner_b = corner_table_->Previous(corner);
- while (corner_table_->Opposite(corner_b) >= 0) {
- corner_b = corner_table_->Previous(corner_table_->Opposite(corner_b));
- }
- corner_c = corner_table_->Next(corner);
- while (corner_table_->Opposite(corner_c) >= 0) {
- corner_c = corner_table_->Next(corner_table_->Opposite(corner_c));
- }
- face(num_faces++);
- corner_table_->MapCornerToVertex(
- new_corner, corner_table_->Vertex(corner_table_->Next(corner_b)));
- corner_table_->MapCornerToVertex(
- new_corner + 1, corner_table_->Vertex(corner_table_->Next(corner_c)));
- corner_table_->MapCornerToVertex(
- new_corner + 2, corner_table_->Vertex(corner_table_->Next(corner)));
-}
-
-
IsTopologySplit()
-
-IsTopologySplit(encoder_symbol_id, *out_face_edge,
- *out_encoder_split_symbol_id) {
- if (topology_split_data_.size() == 0)
- return false;
- if (topology_split_data_.back().source_symbol_id != encoder_symbol_id)
- return false;
- *out_face_edge = topology_split_data_.back().source_edge;
- *out_encoder_split_symbol_id =
- topology_split_data_.back().split_symbol_id;
- topology_split_data_.pop_back();
- return true;
-}
-
-
DecodeAttributeConnectivitiesOnFace()
-
-DecodeAttributeConnectivitiesOnFace(corner) {
- corners[3] = {corner, corner_table_->Next(corner),
- corner_table_->Previous(corner)}
- for (c = 0; c < 3; ++c) {
- opp_corner = corner_table_->Opposite(corners[c]);
- if (opp_corner < 0) {
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- attribute_data_[i].attribute_seam_corners.push_back(corners[c]);
- }
- continue
- }
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- bool is_seam = traversal_decoder_.DecodeAttributeSeam(i);
- if (is_seam) {
- attribute_data_[i].attribute_seam_corners.push_back(corners[c]);
- }
- }
- }
-}
-
-
SetOppositeCorners()
-
-SetOppositeCorners(corner_0, corner_1) {
- corner_table_->SetOppositeCorner(corner_0, corner_1);
- corner_table_->SetOppositeCorner(corner_1, corner_0);
-}
-
-
Draco Bitstream Specification (Draft)
- Draco Bitstream Specification (Draft)
-
-Version 1,2 Released 2017-xx-xx
-
-Frank Galligan, Google
-
-Last modified: 2017-07-12 15:15:50 -0700
-
-Abstract
-
-This document defines the bitstream format and decoding process for the
-Draco 3D Data Compression scheme.
-
-Contents
-
-
-
-Scope
-
-This document specifies the open-source Draco #D Data Compression bitstream
-format and decoding process.
-
-Terms and Definitions
-
-For the purposes of this document, the following terms and definitions apply:
-
-
-
-
- Term
- Definition
-
-
-
-
-
-
-
-
-
-
-Symbols (and abbreviated terms)
-
-DCT: Discrete Cosine Transform
-
-FIXME
-
-The specification makes use of a number of constant integers. Constants that
-relate to the semantics of a particular syntax element are defined in section
-7.
-
-Additional constants are defined below:
-
-
-
-
- Symbol name
- Value
- Description
-
-
-
-
- SYMBOL
-
-
-
-
-
-Conventions
-
-General Conventions
-
-
-
- When bit reading is finished it will always pad the read to the current
-byte.
-
-
- Draco encoded mesh files are comprised of three main sections. This first
-section is the header. The second section contains the connectivity data.
-The third section contains the attribute data. The header must be decoded
-first, then the connectivity section, and then the attribute section.
-
-
- The Connectivity section is composed of the following sections in order:
-
-
-
- Connectivity header
-
-
- EdgeBreaker symbol buffer
-
-
- Start face buffer
-
-
- EdgeBreaker valence header
-
-
- Context data for the valence prediction
-
-
- Hole and Split data
-
-
-
-
- The hole and split data must be decoded before the EdgeBreaker symbols are
-decoded.
-
-
-
-Method of describing bitstream syntax
-
-FIXME: This section is borrowed from AV1, and should be modified for the Draco
-spec.
-
-The description style of the syntax is similar to the C++ programming language.
-Syntax elements in the bitstream are represented in bold type. Each syntax
-element is described by its name (using only lower case letters with
-underscore characters) and a descriptor for its method of coded
-representation. The decoding process behaves according to the value of the
-syntax element and to the values of previously decoded syntax elements. When a
-value of a syntax element is used in the syntax tables or the text, it appears
-in regular (i.e. not bold) type. If the value of a syntax element is being
-computed (e.g. being written with a default value instead of being coded in
-the bitstream), it also appears in regular type.
-
-In some cases the syntax tables may use the values of other variables derived
-from syntax elements values. Such variables appear in the syntax tables, or
-text, named by a mixture of lower case and upper case letter and without any
-underscore characters. Variables starting with an upper case letter are
-derived for the decoding of the current syntax structure and all depending
-syntax structures. These variables may be used in the decoding process for
-later syntax structures. Variables starting with a lower case letter are only
-used within the process from which they are derived.
-
-Constant values appear in all upper case letters with underscore characters.
-
-Constant lookup tables appear in all lower case letters with underscore
-characters.
-
-Hexadecimal notation, indicated by prefixing the hexadecimal number by 0x,
-may be used when the number of bits is an integer multiple of 4. For example,
-0x1a represents a bit string 0001 1010.
-
-Binary notation is indicated by prefixing the binary number by 0b. For
-example, 0b00011010 represents a bit string 0001 1010. Binary numbers may
-include underscore characters to enhance readability. If present, the
-underscore characters appear every 4 binary digits starting from the LSB. For
-example, 0b11010 may also be written as 0b1_1010.
-
-A value equal to 0 represents a FALSE condition in a test statement. The
-value TRUE is represented by any value not equal to 0.
-
-The following table lists examples of the syntax specification format. When
-syntax_element appears (with bold face font), it specifies that this syntax
-element is parsed from the bitstream.
-
-Draco Decoder
-
-Decode()
-
-Decode() {
- DecodeHeader()
- DecodeConnectivityData()
- DecodeAttributeData()}
-
-
DecodeHeader() {
- draco_string UI8[5]
- major_version UI8
- minor_version UI8
- encoder_type UI8
- encoder_method UI8
- flags
-}
-
-
DecodeAttributeData()
-
-DecodeAttributeData() {
- num_attributes_decoders UI8
- for (i = 0; i < num_attributes_decoders; ++i) {
- CreateAttributesDecoder(i);
- }
- for (auto &att_dec : attributes_decoders_) {
- att_dec->Initialize(this, point_cloud_)
- }
- for (i = 0; i < num_attributes_decoders; ++i) {
- attributes_decoders_[i]->DecodeAttributesDecoderData(buffer_)
- }
- DecodeAllAttributes()
- OnAttributesDecoded()
-
-
Mesh Decoder
-
-DecodeConnectivityData()
-
-DecodeConnectivityData()
- InitializeDecoder()
- DecodeConnectivity()
-}
-
-
EdgeBreaker Decoder
-
-InitializeDecoder()
-
-InitializeDecoder() {
- edgebreaker_decoder_type UI8
-}
-
-
DecodeConnectivity()
-
-DecodeConnectivity() {
- num_new_verts UI32
- num_encoded_vertices UI32
- num_faces UI32
- num_attribute_data I8
- num_encoded_symbols UI32
- num_encoded_split_symbols UI32
- encoded_connectivity_size UI32
- // file pointer must be set to current position
- // + encoded_connectivity_size
- hole_and_split_bytes = DecodeHoleAndTopologySplitEvents()
- // file pointer must be set to old current position
- EdgeBreakerTraversalValence_Start()
- DecodeConnectivity(num_symbols)
- if (attribute_data_.size() > 0) {
- for (ci = 0; ci < corner_table_->num_corners(); ci += 3) {
- DecodeAttributeConnectivitiesOnFace(ci)
- }
- }
- for (i = 0; i < corner_table_->num_vertices(); ++i) {
- if (is_vert_hole_[i]) {
- corner_table_->UpdateVertexToCornerMap(i);
- }
- }
- // Decode attribute connectivity.
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- attribute_data_[i].connectivity_data.InitEmpty(corner_table_.get());
- for (int32_t c : attribute_data_[i].attribute_seam_corners) {
- attribute_data_[i].connectivity_data.AddSeamEdge(c);
- }
- attribute_data_[i].connectivity_data.RecomputeVertices(nullptr, nullptr);
- }
- // Preallocate vertex to value mapping
- AssignPointsToCorners()
-}
-
-
AssignPointsToCorners()
-
-AssignPointsToCorners() {
- decoder_->mesh()->SetNumFaces(corner_table_->num_faces());
- if (attribute_data_.size() == 0) {
- for (f = 0; f < decoder_->mesh()->num_faces(); ++f) {
- for (c = 0; c < 3; ++c) {
- vert_id = corner_table_->Vertex(3 * f + c);
- if (point_id == -1)
- point_id = num_points++;
- face[c] = point_id;
- }
- decoder_->mesh()->SetFace(f, face);
- }
- decoder_->point_cloud()->set_num_points(num_points);
- Return true;
- }
- for (v = 0; v < corner_table_->num_vertices(); ++v) {
- c = corner_table_->LeftMostCorner(v);
- if (c < 0)
- continue;
- deduplication_first_corner = c;
- if (!is_vert_hole_[v]) {
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- if (!attribute_data_[i].connectivity_data.IsCornerOnSeam(c))
- continue;
- vert_id = attribute_data_[i].connectivity_data.Vertex(c);
- act_c = corner_table_->SwingRight(c);
- seam_found = false;
- while (act_c != c) {
- if (attribute_data_[i].connectivity_data.Vertex(act_c) != vert_id) {
- deduplication_first_corner = act_c;
- seam_found = true;
- break;
- }
- act_c = corner_table_->SwingRight(act_c);
- }
- if (seam_found)
- break;
- }
- }
- c = deduplication_first_corner;
- corner_to_point_map[c] = point_to_corner_map.size();
- point_to_corner_map.push_back(c);
- prev_c = c;
- c = corner_table_->SwingRight(c);
- while (c >= 0 && c != deduplication_first_corner) {
- attribute_seam = false;
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- if (attribute_data_[i].connectivity_data.Vertex(c) !=
- attribute_data_[i].connectivity_data.Vertex(prev_c)) {
- attribute_seam = true;
- break;
- }
- }
- if (attribute_seam) {
- corner_to_point_map[c] = point_to_corner_map.size();
- point_to_corner_map.push_back(c);
- } else {
- corner_to_point_map[c] = corner_to_point_map[prev_c];
- }
- prev_c = c;
- c = corner_table_->SwingRight(c);
- }
- }
- for (f = 0; f < decoder_->mesh()->num_faces(); ++f) {
- for (c = 0; c < 3; ++c) {
- face[c] = corner_to_point_map[3 * f + c];
- }
- decoder_->mesh()->SetFace(f, face);
- }
- decoder_->point_cloud()->set_num_points(point_to_corner_map.size());
-}
-
-
DecodeConnectivity()
-
-DecodeConnectivity(num_symbols) {
- for (i = 0; i < num_symbols; ++i) {
- symbol = TraversalValence_DecodeSymbol()
- corner = 3 * num_faces++
- if (symbol == TOPOLOGY_C) {
- vertex_x = UpdateCornerTableForSymbolC()
- is_vert_hole_[vertex_x] = false;
- } else if (symbol == TOPOLOGY_R || symbol == TOPOLOGY_L) {
- UpdateCornerTableForSymbolLR()
- check_topology_split = true;
- } else if (symbol == TOPOLOGY_S) {
- HandleSymbolS()
- } else if (symbol == TOPOLOGY_E) {
- UpdateCornerTableForSymbolE()
- check_topology_split = true;
- }
- active_corner_stack.back() = corner;
- traversal_decoder_.NewActiveCornerReached(corner);
- if (check_topology_split) {
- encoder_symbol_id = num_symbols - symbol_id - 1;
- while (true) {
- split = IsTopologySplit(encoder_symbol_id, &split_edge,
- &encoder_split_symbol_id);
- if (!split) {
- break;
- }
- act_top_corner = corner;
- if (split_edge == RIGHT_FACE_EDGE) {
- new_active_corner = corner_table_->Next(act_top_corner);
- } else {
- new_active_corner = corner_table_->Previous(act_top_corner);
- }
- decoder_split_symbol_id = num_symbols - encoder_split_symbol_id - 1;
- topology_split_active_corners[decoder_split_symbol_id] =
- new_active_corner;
- }
- }
- }
- while (active_corner_stack.size() > 0) {
- corner = active_corner_stack.pop_back();
- interior_face = traversal_decoder_.DecodeStartFaceConfiguration();
- if (interior_face == true) {
- UpdateCornerTableForInteriorFace()
- for (ci = 0; ci < 3; ++ci) {
- is_vert_hole_[corner_table_->Vertex(new_corner + ci)] = false;
- }
- init_face_configurations_.push_back(true);
- init_corners_.push_back(new_corner);
- } else {
- init_face_configurations_.push_back(false);
- init_corners_.push_back(corner);
- }
- }
- Return num_vertices;
-}
-
-
UpdateCornerTableForSymbolC()
-
-UpdateCornerTableForSymbolC(corner) {
- corner_a = active_corner_stack.back();
- corner_b = corner_table_->Previous(corner_a);
- while (corner_table_->Opposite(corner_b) >= 0) {
- corner_b = corner_table_->Previous(corner_table_->Opposite(corner_b));
- }
- SetOppositeCorners(corner_a, corner + 1);
- SetOppositeCorners(corner_b, corner + 2);
- vertex_x = corner_table_->Vertex(corner_table_->Next(corner_a));
- corner_table_->MapCornerToVertex(corner, vertex_x);
- corner_table_->MapCornerToVertex(
- corner + 1, corner_table_->Vertex(corner_table_->Next(corner_b)));
- corner_table_->MapCornerToVertex(
- corner + 2, corner_table_->Vertex(corner_table_->Previous(corner_a)));
- return vertex_x;
-}
-
-
UpdateCornerTableForSymbolLR()
-
-UpdateCornerTableForSymbolLR(corner, symbol) {
- if (symbol == TOPOLOGY_R) {
- opp_corner = corner + 2;
- } else {
- opp_corner = corner + 1;
- }
- SetOppositeCorners(opp_corner, corner_a);
- corner_table_->MapCornerToVertex(opp_corner,num_vertices++);
- corner_table_->MapCornerToVertex(
- corner_table_->Next(opp_corner),
- corner_table_->Vertex(corner_table_->Previous(corner_a)));
- corner_table_->MapCornerToVertex(
- corner_table_->Previous(opp_corner),
- corner_table_->Vertex(corner_table_->Next(corner_a)));
-}
-
-
HandleSymbolS()
-
-HandleSymbolS(corner) {
- corner_b = active_corner_stack.pop_back();
- it = topology_split_active_corners.find(symbol_id);
- if (it != topology_split_active_corners.end()) {
- active_corner_stack.push_back(it->second);
- }
- corner_a = active_corner_stack.back();
- SetOppositeCorners(corner_a, corner + 2);
- SetOppositeCorners(corner_b, corner + 1);
- vertex_p = corner_table_->Vertex(corner_table_->Previous(corner_a));
- corner_table_->MapCornerToVertex(corner, vertex_p);
- corner_table_->MapCornerToVertex(
- corner + 1, corner_table_->Vertex(corner_table_->Next(corner_a)));
- corner_table_->MapCornerToVertex(corner + 2,
- corner_table_->Vertex(corner_table_->Previous(corner_b)));
- corner_n = corner_table_->Next(corner_b);
- vertex_n = corner_table_->Vertex(corner_n);
- traversal_decoder_.MergeVertices(vertex_p, vertex_n);
- // TraversalValence_MergeVertices
- while (corner_n >= 0) {
- corner_table_->MapCornerToVertex(corner_n, vertex_p);
- corner_n = corner_table_->SwingLeft(corner_n);
- }
- corner_table_->MakeVertexIsolated(vertex_n);
-}
-
-
UpdateCornerTableForSymbolE()
-
-UpdateCornerTableForSymbolE() {
- corner_table_->MapCornerToVertex(corner, num_vertices++);
- corner_table_->MapCornerToVertex(corner + 1, num_vertices++);
- corner_table_->MapCornerToVertex(corner + 2, num_vertices++);
-}
-
-
UpdateCornerTableForInteriorFace()
-
-UpdateCornerTableForInteriorFace() {
- corner_b = corner_table_->Previous(corner);
- while (corner_table_->Opposite(corner_b) >= 0) {
- corner_b = corner_table_->Previous(corner_table_->Opposite(corner_b));
- }
- corner_c = corner_table_->Next(corner);
- while (corner_table_->Opposite(corner_c) >= 0) {
- corner_c = corner_table_->Next(corner_table_->Opposite(corner_c));
- }
- face(num_faces++);
- corner_table_->MapCornerToVertex(
- new_corner, corner_table_->Vertex(corner_table_->Next(corner_b)));
- corner_table_->MapCornerToVertex(
- new_corner + 1, corner_table_->Vertex(corner_table_->Next(corner_c)));
- corner_table_->MapCornerToVertex(
- new_corner + 2, corner_table_->Vertex(corner_table_->Next(corner)));
-}
-
-
IsTopologySplit()
-
-IsTopologySplit(encoder_symbol_id, *out_face_edge,
- *out_encoder_split_symbol_id) {
- if (topology_split_data_.size() == 0)
- return false;
- if (topology_split_data_.back().source_symbol_id != encoder_symbol_id)
- return false;
- *out_face_edge = topology_split_data_.back().source_edge;
- *out_encoder_split_symbol_id =
- topology_split_data_.back().split_symbol_id;
- topology_split_data_.pop_back();
- return true;
-}
-
-
DecodeAttributeConnectivitiesOnFace()
-
-DecodeAttributeConnectivitiesOnFace(corner) {
- corners[3] = {corner, corner_table_->Next(corner),
- corner_table_->Previous(corner)}
- for (c = 0; c < 3; ++c) {
- opp_corner = corner_table_->Opposite(corners[c]);
- if (opp_corner < 0) {
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- attribute_data_[i].attribute_seam_corners.push_back(corners[c]);
- }
- continue
- }
- for (uint32_t i = 0; i < attribute_data_.size(); ++i) {
- bool is_seam = traversal_decoder_.DecodeAttributeSeam(i);
- if (is_seam) {
- attribute_data_[i].attribute_seam_corners.push_back(corners[c]);
- }
- }
- }
-}
-
-
SetOppositeCorners()
-
-SetOppositeCorners(corner_0, corner_1) {
- corner_table_->SetOppositeCorner(corner_0, corner_1);
- corner_table_->SetOppositeCorner(corner_1, corner_0);
-}
-
-
EdgeBreaker Hole and Topology Split Events
-
-DecodeHoleAndTopologySplitEvents()
-
-DecodeHoleAndTopologySplitEvents() {
- num_topologoy_splits UI32
- source_symbol_id = 0
- for (i = 0; i < num_topologoy_splits; ++i) {
- DecodeVarint<UI32>(&delta)
- split_data[i].source_symbol_id = delta + source_symbol_id
- DecodeVarint<UI32>(&delta)
- split_data[i].split_symbol_id = source_symbol_id - delta
- }
- for (i = 0; i < num_topologoy_splits; ++i) {
- split_data[i].split_edge bits1
- split_data[i].source_edge bits1
- }
- num_hole_events UI32
- symbol_id = 0
- for (i = 0; i < num_hole_events; ++i) {
- DecodeVarint<UI32>(&delta)
- hole_data[i].symbol_id = delta + symbol_id
- }
- return bytes_decoded;
-}
-
-
CreateAttributesDecoder
-
-CreateAttributesDecoder() {
- att_data_id I8
- decoder_type UI8
- if (att_data_id >= 0) {
- attribute_data_[att_data_id].decoder_id = att_decoder_id;
- }
- traversal_method_encoded UI8
- if (decoder_type == MESH_VERTEX_ATTRIBUTE) {
- if (att_data_id < 0) {
- encoding_data = &pos_encoding_data_;
- } else {
- encoding_data = &attribute_data_[att_data_id].encoding_data;
- attribute_data_[att_data_id].is_connectivity_used = false;
- }
- if (traversal_method == MESH_TRAVERSAL_DEPTH_FIRST) {
- typedef EdgeBreakerTraverser<AttProcessor, AttObserver> AttTraverser;
- sequencer = CreateVertexTraversalSequencer<AttTraverser>(encoding_data);
- } else if (traversal_method == MESH_TRAVERSAL_PREDICTION_DEGREE) {
- typedef PredictionDegreeTraverser<AttProcessor, AttObserver> AttTraverser;
- sequencer = CreateVertexTraversalSequencer<AttTraverser>(encoding_data);
- }
- } else {
- // TODO
- }
- att_controller(new SequentialAttributeDecodersController(std::move(sequencer)))
- decoder_->SetAttributesDecoder(att_decoder_id, std::move(att_controller));
-}
-
-
Edgebreaker Traversal Decoder
-
-EdgebreakerTraversal_Start()
-
-EdgebreakerTraversal_Start() {
- size UI64
- symbol_buffer_ size * UI8
- size UI64
- start_face_buffer_ size * UI8
- if (num_attribute_data_ > 0) {
- attribute_connectivity_decoders_ = std::unique_ptr<BinaryDecoder[]>(
- new BinaryDecoder[num_attribute_data_]);
- for (i = 0; i < num_attribute_data_; ++i) {
- attribute_connectivity_decoders_[i].StartDecoding()
- // RansBitDecoder_StartDecoding
- }
-}
-
-
Traversal_DecodeSymbol()
-
-Traversal_DecodeSymbol() {
- symbol_buffer_.DecodeLeastSignificantBits32(1, &symbol); bits1
- if (symbol != TOPOLOGY_C) {
- symbol_buffer_.DecodeLeastSignificantBits32(2, &symbol_suffix); bits2
- symbol |= (symbol_suffix << 1);
- }
- return symbol
-}
-
-
DecodeAttributeSeam()
-
-DecodeAttributeSeam(int attribute) {
- return attribute_connectivity_decoders_[attribute].DecodeNextBit();
-}
-
-
EdgeBreaker Traversal Valence Decoder
-
-EdgeBreakerTraversalValence_Start()
-
-EdgeBreakerTraversalValence_Start(num_vertices, num_attribute_data) {
- out_buffer = EdgebreakerTraversal_Start()
- num_split_symbols I32
- mode == 0 I8
- num_vertices_ += num_split_symbols
- vertex_valences_ init to 0
- vertex_valences_.resize(num_vertices_, 0);
- min_valence_ = 2;
- max_valence_ = 7;
- num_unique_valences = 6 (max_valence_ - min_valence_ + 1)
- for (i = 0; i < num_unique_valences; ++i) {
- DecodeVarint<UI32>(&num_symbols, out_buffer)
- If (num_symbols > 0) {
- DecodeSymbols(num_symbols, out_buffer, &context_symbols_[i])
- }
- context_counters_[i] = num_symbols
- }
- return out_buffer;
-}
-
-
TraversalValence_DecodeSymbol()
-
-TraversalValence_DecodeSymbol() {
- if (active_context_ != -1) {
- symbol_id = context_symbols_[active_context_]
- [--context_counters_[active_context_]]
- last_symbol_ = edge_breaker_symbol_to_topology_id[symbol_id]
- } else {
- last_symbol_ = Traversal_DecodeSymbol()
- }
- return last_symbol_
-}
-
-
TraversalValence_NewActiveCornerReached()
-
-TraversalValence_NewActiveCornerReached(corner) {
- switch (last_symbol_) {
- case TOPOLOGY_C:
- case TOPOLOGY_S:
- vertex_valences_[ct(next)] += 1;
- vertex_valences_[ct(prev)] += 1;
- break;
- case TOPOLOGY_R:
- vertex_valences_[corner] += 1;
- vertex_valences_[ct(next)] += 1;
- vertex_valences_[ct(prev)] += 2;
- break;
- case TOPOLOGY_L:
- vertex_valences_[corner] += 1;
- vertex_valences_[ct(next)] += 2;
- vertex_valences_[ct(prev)] += 1;
- break;
- case TOPOLOGY_E:
- vertex_valences_[corner] += 2;
- vertex_valences_[ct(next)] += 2;
- vertex_valences_[ct(prev)] += 2;
- break;
- }
- valence = vertex_valences_[ct(next)]
- valence = max(valence, min_valence_)
- valence = min(valence, max_valence_)
- active_context_ = (valence - min_valence_);
-}
-
-
TraversalValence_MergeVertices()
-
-TraversalValence_MergeVertices(dest, source) {
- vertex_valences_[dest] += vertex_valences_[source];
-}
-
-
Attributes Decoder
-
-DecodeAttributesDecoderData()
-
-DecodeAttributesDecoderData(buffer) {
- num_attributes I32
- point_attribute_ids_.resize(num_attributes);
- for (i = 0; i < num_attributes; ++i) {
- att_type UI8
- data_type UI8
- components_count UI8
- normalized UI8
- custom_id UI16
- Initialize GeometryAttribute ga
- att_id = pc->AddAttribute(new PointAttribute(ga));
- point_attribute_ids_[i] = att_id;
-}
-
-
Sequential Attributes Decoders Controller
-
-DecodeAttributesDecoderData()
-
-DecodeAttributesDecoderData(buffer) {
- AttributesDecoder_DecodeAttributesDecoderData(buffer)
- sequential_decoders_.resize(num_attributes());
- for (i = 0; i < num_attributes(); ++i) {
- decoder_type UI8
- sequential_decoders_[i] = CreateSequentialDecoder(decoder_type);
- sequential_decoders_[i]->Initialize(decoder(), GetAttributeId(i))
-}
-
-
DecodeAttributes()
-
-DecodeAttributes(buffer) {
- sequencer_->GenerateSequence(&point_ids_)
- for (i = 0; i < num_attributes(); ++i) {
- pa = decoder()->point_cloud()->attribute(GetAttributeId(i));
- sequencer_->UpdatePointToAttributeIndexMapping(pa)
- }
- for (i = 0; i < num_attributes(); ++i) {
- sequential_decoders_[i]->Decode(point_ids_, buffer)
- //SequentialAttributeDecoder_Decode()
- }
-}
-
-
CreateSequentialDecoder()
-
-CreateSequentialDecoder(type) {
- switch (type) {
- case SEQUENTIAL_ATTRIBUTE_ENCODER_GENERIC:
- return new SequentialAttributeDecoder()
- case SEQUENTIAL_ATTRIBUTE_ENCODER_INTEGER:
- return new SequentialIntegerAttributeDecoder()
- case SEQUENTIAL_ATTRIBUTE_ENCODER_QUANTIZATION:
- return new SequentialQuantizationAttributeDecoder()
- case SEQUENTIAL_ATTRIBUTE_ENCODER_NORMALS:
- return new SequentialNormalAttributeDecoder()
- }
-}
-
-
Sequential Attribute Decoder
-
-Initialize(...) {
- // Init some members
-}
-
-
DecodeValues()
-
-DecodeValues(const std::vector<PointIndex> &point_ids) {
- num_values = point_ids.size();
- entry_size = attribute_->byte_stride();
- std::unique_ptr<uint8_t[]> value_data_ptr(new uint8_t[entry_size]);
- out_byte_pos = 0;
- for (i = 0; i < num_values; ++i) {
- value_data UI8 * entry_size
- attribute_->buffer()->Write(out_byte_pos, value_data, entry_size);
- out_byte_pos += entry_size;
- }
-}
-
-
Sequential Integer Attribute Decoder
-
-Initialize(...) {
- SequentialAttributeDecoder_Initialize()
-}
-
-
DecodeValues()
-
-DecodeValues(point_ids) {
- prediction_scheme_method I8
- if (prediction_scheme_method != PREDICTION_NONE) {
- prediction_transform_type I8
- prediction_scheme_ = CreateIntPredictionScheme(...)
- }
- if (prediction_scheme_) {
- }
- DecodeIntegerValues(point_ids)
- //SequentialQuantizationAttributeDecoder_DecodeIntegerValues()
- //StoreValues()
- DequantizeValues(num_values)
-}
-
-
DecodeIntegerValues()
-
-DecodeIntegerValues(point_ids) {
- compressed UI8
- if (compressed) {
- DecodeSymbols(..., values_.data())
- } else {
- // TODO
- }
- if (!prediction_scheme_->AreCorrectionsPositive()) {
- ConvertSymbolsToSignedInts(...)
- }
- if (prediction_scheme_) {
- prediction_scheme_->DecodePredictionData(buffer)
- // DecodeTransformData(buffer)
- if (!values_.empty()) {
- prediction_scheme_->Decode(values_.data(), &values_[0],
- values_.size(), num_components, point_ids.data())
- // MeshPredictionSchemeParallelogram_Decode()
-}
-
-
Sequential Quantization Attribute Decoder
-
-Initialize(...) {
- SequentialIntegerAttributeDecoder_Initialize()
-}
-
-
DecodeIntegerValues()
-
-DecodeIntegerValues(point_ids) {
- // DecodeQuantizedDataInfo()
- num_components = attribute()->components_count();
- for (i = 0; i < num_components; ++i) {
- min_value_[i] F32
- }
- max_value_dif_ F32
- quantization_bits_ UI8
- SequentialIntegerAttributeDecoder::DecodeIntegerValues()
-}
-
-
DequantizeValues()
-
-DequantizeValues(num_values) {
- max_quantized_value = (1 << (quantization_bits_)) - 1;
- num_components = attribute()->components_count();
- entry_size = sizeof(float) * num_components;
- quant_val_id = 0;
- out_byte_pos = 0;
- for (i = 0; i < num_values; ++i) {
- for (c = 0; c < num_components; ++c) {
- value = dequantizer.DequantizeFloat(values()->at(quant_val_id++));
- value = value + min_value_[c];
- att_val[c] = value;
- }
- attribute()->buffer()->Write(out_byte_pos, att_val.get(), entry_size);
- out_byte_pos += entry_size;
- }
-}
-
-
ComputeOriginalValue()
-
-ComputeOriginalValue(const DataTypeT *predicted_vals,
- const CorrTypeT *corr_vals,
- DataTypeT *out_original_vals, int val_id) {
- for (i = 0; i < num_components_; ++i) {
- out_original_vals[i] = predicted_vals[i] + corr_vals[val_id + i];
- }
-}
-
-
DecodeTransformData(buffer) {
- min_value_ DT
- max_value_ DT
-}
-
-
ComputeOriginalValue()
-
-ComputeOriginalValue(const DataTypeT *predicted_vals,
- const CorrTypeT *corr_vals,
- DataTypeT *out_original_vals, int val_id) {
- clamped_vals = ClampPredictedValue(predicted_vals);
- ComputeOriginalValue(clamped_vals, corr_vals, out_original_vals, val_id)
- // PredictionSchemeTransform_ComputeOriginalValue()
- for (i = 0; i < this->num_components(); ++i) {
- if (out_original_vals[i] > max_value_) {
- out_original_vals[i] -= max_dif_;
- } else if (out_original_vals[i] < min_value_) {
- out_original_vals[i] += max_dif_;
- }
-}
-
-
ClampPredictedValue()
-
-ClampPredictedValue(const DataTypeT *predicted_val) {
- for (i = 0; i < this->num_components(); ++i) {
- clamped_value_[i] = min(predicted_val[i], max_value_)
- clamped_value_[i] = max(predicted_val[i], min_value_)
- }
- return &clamped_value_[0];
-}
-
-
Mesh Prediction Scheme Parallelogram
-
-Decode()
-
-Decode(...) {
- this->transform().InitializeDecoding(num_components);
- // restore the first value
- this->transform().ComputeOriginalValue(pred_vals.get(),
- in_corr, out_data, 0);
- // PredictionSchemeWrapTransform_ComputeOriginalValue()
- corner_map_size = this->mesh_data().data_to_corner_map()->size();
- for (p = 1; p < corner_map_size; ++p) {
- corner_id = this->mesh_data().data_to_corner_map()->at(p);
- dst_offset = p * num_components;
- b= ComputeParallelogramPrediction(p, corner_id, table,
- *vertex_to_data_map, out_data,
- num_components, pred_vals.get())
- if (!b) {
- src_offset = (p - 1) * num_components;
- this->transform().ComputeOriginalValue(out_data + src_offset, in_corr,
- out_data + dst_offset, dst_offset);
- // PredictionSchemeWrapTransform_ComputeOriginalValue()
- } else {
- this->transform().ComputeOriginalValue(pred_vals.get(), in_corr,
- out_data + dst_offset, dst_offset);
- // PredictionSchemeWrapTransform_ComputeOriginalValue()
- }
- }
-}
-
-
MeshPredictionSchemeParallelogramShared
-
-FIXME: ^^^ Heading level?
-
-ComputeParallelogramPrediction()
-
-ComputeParallelogramPrediction(...) {
- oci = table->Opposite(ci);
- vert_opp = vertex_to_data_map[table->Vertex(ci)];
- vert_next = vertex_to_data_map[table->Vertex(table->Next(ci))];
- vert_prev = vertex_to_data_map[table->Vertex(table->Previous(ci))];
- if (vert_opp < data_entry_id && vert_next < data_entry_id &&
- vert_prev < data_entry_id) {
- v_opp_off = vert_opp * num_components;
- v_next_off = vert_next * num_components;
- v_prev_off = vert_prev * num_components;
- for (c = 0; c < num_components; ++c) {
- out_prediction[c] = (in_data[v_next_off + c] + in_data[v_prev_off + c]) -
- in_data[v_opp_off + c];
- }
- Return true;
- }
- return false;
-}
-
-
CornerTable Traversal Processor
-
-IsFaceVisited()
-
-IsFaceVisited(corner_id) {
- if (corner_id < 0)
- return true
- return is_face_visited_[corner_id / 3];
-}
-
-
MarkFaceVisited()
-
-MarkFaceVisited(face_id) {
- is_face_visited_[face_id] = true;
-}
-
-
IsVertexVisited()
-
-IsVertexVisited(vert_id) {
- return is_vertex_visited_[vert_id];
-}
-
-
MarkVertexVisited()
-
-MarkVertexVisited(vert_id) {
- is_vertex_visited_[vert_id] = true;
-}
-
-
Mesh Attribute Indices Encoding Observer
-
-OnNewVertexVisited()
-
-OnNewVertexVisited(vertex, corner) {
- point_id = mesh_->face(corner / 3)[corner % 3];
- sequencer_->AddPointId(point_id);
- // Keep track of visited corners.
- encoding_data_->encoded_attribute_value_index_to_corner_map.push_back(corner);
- encoding_data_
- ->vertex_to_encoded_attribute_value_index_map[vertex] =
- encoding_data_->num_values;
- encoding_data_->num_values++;
-}
-
-
EdgeBreaker Traverser
-
-TraverseFromCorner()
-
-TraverseFromCorner(corner_id) {
- if (processor_.IsFaceVisited(corner_id))
- return
- corner_traversal_stack_.clear();
- corner_traversal_stack_.push_back(corner_id);
- next_vert = corner_table_->Vertex(corner_table_->Next(corner_id));
- prev_vert = corner_table_->Vertex(corner_table_->Previous(corner_id));
- if (!processor_.IsVertexVisited(next_vert)) {
- processor_.MarkVertexVisited(next_vert);
- traversal_observer_.OnNewVertexVisited(next_vert,
- corner_table_->Next(corner_id));
- }
- if (!processor_.IsVertexVisited(prev_vert)) {
- processor_.MarkVertexVisited(prev_vert);
- traversal_observer_.OnNewVertexVisited(prev_vert,
- corner_table_->Previous(corner_id));
- }
- while (!corner_traversal_stack_.empty()) {
- corner_id = corner_traversal_stack_.back();
- face_id =corner_id / 3;
- if (processor_.IsFaceVisited(face_id)) {
- corner_traversal_stack_.pop_back();
- continue
- }
- while(true) {
- face_id = corner_id / 3;
- processor_.MarkFaceVisited(face_id);
- traversal_observer_.OnNewFaceVisited(face_id);
- vert_id = corner_table_->Vertex(corner_id);
- on_boundary = corner_table_->IsOnBoundary(vert_id);
- if (!processor_.IsVertexVisited(vert_id)) {
- processor_.MarkVertexVisited(vert_id);
- traversal_observer_.OnNewVertexVisited(vert_id, corner_id);
- if (!on_boundary) {
- corner_id = corner_table_->GetRightCorner(corner_id);
- continue;
- }
- }
- // The current vertex has been already visited or it was on a boundary.
- right_corner_id = corner_table_->GetRightCorner(corner_id);
- left_corner_id = corner_table_->GetLeftCorner(corner_id);
- right_face_id((right_corner_id < 0 ? -1 : right_corner_id / 3));
- left_face_id((left_corner_id < 0 ? -1 : left_corner_id / 3));
- if (processor_.IsFaceVisited(right_face_id)) {
- if (processor_.IsFaceVisited(left_face_id)) {
- corner_traversal_stack_.pop_back();
- break; // Break from while(true) loop
- } else {
- corner_id = left_corner_id;
- }
- } else {
- if (processor_.IsFaceVisited(left_face_id)) {
- corner_id = right_corner_id;
- } else {
- // Split the traversal.
- corner_traversal_stack_.back() = left_corner_id;
- corner_traversal_stack_.push_back(right_corner_id);
- break; // Break from while(true) loop
- }
- }
- }
- }
-}
-
-
Mesh Traversal Sequencer
-
-GenerateSequenceInternal()
-
-GenerateSequenceInternal() {
- traverser_.OnTraversalStart();
- If (corner_order_) {
- // TODO
- } else {
- int32_t num_faces = traverser_.corner_table()->num_faces();
- for (i = 0; i < num_faces; ++i) {
- ProcessCorner(3 * i)
- }
- }
- traverser_.OnTraversalEnd();
-}
-
-
ProcessCorner()
-
-ProcessCorner(corner_id) {
- traverser_.TraverseFromCorner(corner_id);
-}
-
-
UpdatePointToAttributeIndexMapping()
-
-UpdatePointToAttributeIndexMapping(PointAttribute *attribute) {
- corner_table = traverser_.corner_table();
- attribute->SetExplicitMapping(mesh_->num_points());
- num_faces = mesh_->num_faces();
- num_points = mesh_->num_points();
- for (f = 0; f < num_faces; ++f) {
- face = mesh_->face(f);
- for (p = 0; p < 3; ++p) {
- point_id = face[p];
- vert_id = corner_table->Vertex(3 * f + p);
- att_entry_id(
- encoding_data_
- ->vertex_to_encoded_attribute_value_index_map[vert_id]);
- attribute->SetPointMapEntry(point_id, att_entry_id);
- }
- }
-}
-
-
PointsSequencer
-
-FIXME: ^^^ Heading level?
-
-AddPointId()
-
-AddPointId(point_id) {
- out_point_ids_->push_back(point_id);
-}
-
-
Corner Table
-
-Opposite()
-
-Opposite(corner) {
- return opposite_corners_[corner];
-}
-
-
Next()
-
-Next(corner) {
- return LocalIndex(++corner) ? corner : corner - 3;
-}
-
-
Previous()
-
-Previous(corner) {
- return LocalIndex(corner) ? corner - 1 : corner + 2;
-}
-
-
Vertex()
-
-Vertex(corner) {
- faces_[Face(corner)][LocalIndex(corner)];
-}
-
-
Face()
-
-Face(corner) {
- return corner / 3;
-}
-
-
LocalIndex()
-
-LocalIndex(corner) {
- return corner % 3;
-}
-
-
num_vertices()
-
-num_vertices() {
- return vertex_corners_.size();
-}
-
-
num_corners()
-
-num_corners() {
- return faces_.size() * 3;
-}
-
-
num_faces()
-
-num_faces() {
- return faces_.size();
-}
-
-
bool IsOnBoundary()
-
-bool IsOnBoundary(vert) {
- corner = LeftMostCorner(vert);
- if (SwingLeft(corner) < 0)
- return true;
- return false;
-}
-
-
SwingRight()
-
-SwingRight(corner) {
- return Previous(Opposite(Previous(corner)));
-}
-
-
SwingLeft()
-
-SwingLeft(corner) {
- return Next(Opposite(Next(corner)));
-}
-
-
GetLeftCorner()
-
-GetLeftCorner(corner_id) {
- if (corner_id < 0)
- return kInvalidCornerIndex;
- return Opposite(Previous(corner_id));
-}
-
-
GetRightCorner()
-
-GetRightCorner(corner_id) {
- if (corner_id < 0)
- return kInvalidCornerIndex;
- return Opposite(Next(corner_id));
-}
-
-
SetOppositeCorner()
-
-SetOppositeCorner(corner_id, pp_corner_id) {
- opposite_corners_[corner_id] = opp_corner_id;
-}
-
-
MapCornerToVertex()
-
-MapCornerToVertex(corner_id, vert_id) {
- face = Face(corner_id);
- faces_[face][LocalIndex(corner_id)] = vert_id;
- if (vert_id >= 0) {
- vertex_corners_[vert_id] = corner_id;
- }
-}
-
-
UpdateVertexToCornerMap()
-
-UpdateVertexToCornerMap(vert) {
- first_c = vertex_corners_[vert];
- if (first_c < 0)
- return;
- act_c = SwingLeft(first_c);
- c = first_c;
- while (act_c >= 0 && act_c != first_c) {
- c = act_c;
- act_c = SwingLeft(act_c);
- }
- if (act_c != first_c) {
- vertex_corners_[vert] = c;
- }
-}
-
-
LeftMostCorner()
-
-LeftMostCorner(v) {
- return vertex_corners_[v];
-}
-
-
MakeVertexIsolated()
-
-MakeVertexIsolated(vert) {
- vertex_corners_[vert] = kInvalidCornerIndex;
-}
-
-
Mesh Attribute Corner Table
-
-bool IsCornerOnSeam()
-
-bool IsCornerOnSeam(corner) {
- return is_vertex_on_seam_[corner_table_->Vertex(corner)];
-}
-
-
AddSeamEdge()
-
-AddSeamEdge(c) {
- MarkSeam(c)
- opp_corner = corner_table_->Opposite(c);
- if (opp_corner >= 0) {
- no_interior_seams_ = false;
- MarkSeam(opp_corner)
- }
-}
-
-
MarkSeam()
-
-MarkSeam(c) {
- is_edge_on_seam_[c] = true;
- is_vertex_on_seam_[corner_table_->Vertex(corner_table_->Next(c))] = true;
- is_vertex_on_seam_[corner_table_->Vertex(corner_table_->Previous(c))
- ] = true;
-}
-
-
RecomputeVertices()
-
-RecomputeVertices() {
- // in code RecomputeVerticesInternal<false>(nullptr, nullptr)
- num_new_vertices = 0;
- for (v = 0; v < corner_table_->num_vertices(); ++v) {
- c = corner_table_->LeftMostCorner(v);
- if (c < 0)
- continue;
- first_vert_id(num_new_vertices++);
- vertex_to_attribute_entry_id_map_.push_back(first_vert_id);
- first_c = c;
- if (is_vertex_on_seam_[v]) {
- act_c = SwingLeft(first_c);
- while (act_c >= 0) {
- first_c = act_c;
- act_c = SwingLeft(act_c);
- }
- }
- corner_to_vertex_map_[first_c] =first_vert_id;
- vertex_to_left_most_corner_map_.push_back(first_c);
- act_c = corner_table_->SwingRight(first_c);
- while (act_c >= 0 && act_c != first_c) {
- if (is_edge_on_seam_[corner_table_->Next(act_c)]) {
- // in code IsCornerOppositeToSeamEdge()
- first_vert_id = AttributeValueIndex(num_new_vertices++);
- vertex_to_attribute_entry_id_map_.push_back(first_vert_id);
- vertex_to_left_most_corner_map_.push_back(act_c);
- }
- corner_to_vertex_map_[act_c] = first_vert_id;
- act_c = corner_table_->SwingRight(act_c);
- }
- }
-}
-
-
Symbol Decoding
-
-DecodeSymbols()
-
-DecodeSymbols(num_symbols, out_buffer, out_values) {
- scheme UI8
- If (scheme == 0) {
- DecodeTaggedSymbols<>(num_symbols, src_buffer, out_values)
- } else if (scheme == 1) {
- DecodeRawSymbols<>(num_symbols, src_buffer, out_values)
- }
-}
-
-
DecodeTaggedSymbols()
-
-DecodeTaggedSymbols() {
- FIXME
-}
-
-
DecodeRawSymbols()
-
-DecodeRawSymbols() {
- max_bit_length UI8
- DecodeRawSymbolsInternal(max_bit_length, out_values)
- return symbols
-}
-
-
DecodeRawSymbolsInternal()
-
-DecodeRawSymbolsInternal(max_bit_length, out_values) {
- decoder = CreateRansSymbolDecoder(max_bit_length)
- decoder.StartDecoding()
- // RansSymbolDecoder_StartDecoding
- for (i = 0; i < num_values; ++i) {
- out_values[i] = decoder.DecodeSymbol()
- // RansSymbolDecoder_DecodeSymbol
- }
-}
-
-
CreateRansSymbolDecoder()
-
-CreateRansSymbolDecoder(max_bit_length) {
- rans_precision_bits = (3 * max_bit_length) / 2;
- rans_precision_bits = min(rans_precision_bits, 20)
- rans_precision_bits = max(rans_precision_bits, 12)
- rans_precision = 1 << rans_precision_bits_;
- l_rans_base = rans_precision * 4;
- num_symbols_ UI32
- for (i = 0; i < num_symbols_; ++i) {
- prob_data UI8
- if ((prob_data & 3) == 3) {
- offset = prob_data >> 2
- for (j = 0; j < offset + 1; ++j) {
- probability_table_[i + j] = 0;
- }
- i += offset;
- } else {
- prob = prob_data >> 2
- for (j = 0; j < token; ++j) {
- eb UI8
- prob = prob | (eb << (8 * (j + 1) - 2)
- }
- probability_table_[i] = prob;
- }
- }
- rans_build_look_up_table()
-}
-
-
RansSymbolDecoder_StartDecoding()
-
-RansSymbolDecoder_StartDecoding() {
- bytes_encoded UI64
- buffer bytes_encoded * UI8
- rans_read_init(buffer, bytes_encoded)
-}
-
-
RansSymbolDecoder_DecodeSymbol()
-
-RansSymbolDecoder_DecodeSymbol() {
- ans_.rans_read()
-}
-
-
Rans Decoding
-
-ans_read_init()
-
-ans_read_init(struct AnsDecoder *const ans, const uint8_t *const buf,
- int offset) {
- x = buf[offset - 1] >> 6
- If (x == 0) {
- ans->buf_offset = offset - 1;
- ans->state = buf[offset - 1] & 0x3F;
- } else if (x == 1) {
- ans->buf_offset = offset - 2;
- ans->state = mem_get_le16(buf + offset - 2) & 0x3FFF;
- } else if (x == 2) {
- ans->buf_offset = offset - 3;
- ans->state = mem_get_le24(buf + offset - 3) & 0x3FFFFF;
- } else if (x == 3) {
- // x == 3 implies this byte is a superframe marker
- return 1;
- }
- ans->state += l_base;
-}
-
-
int rabs_desc_read()
-
-int rabs_desc_read(struct AnsDecoder *ans, AnsP8 p0) {
- AnsP8 p = ans_p8_precision - p0;
- if (ans->state < l_base) {
- ans->state = ans->state * io_base + ans->buf[--ans->buf_offset];
- }
- x = ans->state;
- quot = x / ans_p8_precision;
- rem = x % ans_p8_precision;
- xn = quot * p;
- val = rem < p;
- if (val) {
- ans->state = xn + rem;
- } else {
- ans->state = x - xn - p;
- }
- return val;
-}
-
-
rans_read_init()
-
-rans_read_init(UI8 *buf, int offset) {
- ans_.buf = buf;
- x = buf[offset - 1] >> 6
- If (x == 0) {
- ans_.buf_offset = offset - 1;
- ans_.state = buf[offset - 1] & 0x3F;
- } else if (x == 1) {
- ans_.buf_offset = offset - 2;
- ans_.state = mem_get_le16(buf + offset - 2) & 0x3FFF;
- } else if (x == 2) {
- ans_.buf_offset = offset - 3;
- ans_.state = mem_get_le24(buf + offset - 3) & 0x3FFFFF;
- } else if (x == 3) {
- ans_.buf_offset = offset - 4;
- ans_.state = mem_get_le32(buf + offset - 4) & 0x3FFFFFFF;
- }
- ans_.state += l_rans_base;
-}
-
-
rans_build_look_up_table()
-
-rans_build_look_up_table() {
- cum_prob = 0
- act_prob = 0
- for (i = 0; i < num_symbols; ++i) {
- probability_table_[i].prob = token_probs[i];
- probability_table_[i].cum_prob = cum_prob;
- cum_prob += token_probs[i];
- for (j = act_prob; j < cum_prob; ++j) {
- Lut_table_[j] = i
- }
- act_prob = cum_prob
-}
-
-
rans_read()
-
-rans_read() {
- while (ans_.state < l_rans_base) {
- ans_.state = ans_.state * io_base + ans_.buf[--ans_.buf_offset];
- }
- quo = ans_.state / rans_precision;
- rem = ans_.state % rans_precision;
- sym = fetch_sym()
- ans_.state = quo * sym.prob + rem - sym.cum_prob;
- return sym.val;
-}
-
-
fetch_sym()
-
-fetch_sym() {
- symbol = lut_table[rem]
- out->val = symbol
- out->prob = probability_table_[symbol].prob;
- out->cum_prob = probability_table_[symbol].cum_prob;
-}
-
-
Rans Bit Decoder
-
-RansBitDecoder_StartDecoding()
-
-RansBitDecoder_StartDecoding(DecoderBuffer *source_buffer) {
- prob_zero_ UI8
- size UI32
- buffer_ size * UI8
- ans_read_init(&ans_decoder_, buffer_, size)
-}
-
-
DecodeNextBit()
-
-DecodeNextBit() {
- uint8_t bit = rabs_desc_read(&ans_decoder_, prob_zero_);
- return bit > 0;
-}
-
-
Core Functions
-
-DecodeVarint
-
-DecodeVarint<IT>() {
- If (std::is_unsigned<IT>::value) {
- in UI8
- If (in & (1 << 7)) {
- out = DecodeVarint<IT>()
- out = (out << 7) | (in & ((1 << 7) - 1))
- } else {
- typename std::make_unsigned<IT>::type UIT;
- out = DecodeVarint<UIT>()
- out = ConvertSymbolToSignedInt(out)
- }
- return out;
-}
-
-
ConvertSymbolToSignedInt()
-
-ConvertSymbolToSignedInt() {
- abs_val = val >> 1
- If (val & 1 == 0) {
- return abs_val
- } else {
- signed_val = -abs_val - 1
- }
- return signed_val
-}
-
-
Sequential Decoder
-
-FIXME: ^^^ Heading level?
-
-decode_connectivity()
-
-decode_connectivity() {
- num_faces I32
- num_points I32
- connectivity _method UI8
- If (connectivity _method == 0) {
- // TODO
- } else {
- loop num_faces {
- If (num_points < 256) {
- face[] UI8
- } else if (num_points < (1 << 16)) {
- face[] UI16
- } else {
- face[] UI32
- }
- }
- }
-}
-
-
Mesh Decoder
-
-DecodeConnectivityData()
-
-DecodeConnectivityData()
- InitializeDecoder()
- DecodeConnectivity()
-}
-
-